0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n155.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 10:42:53 CST 2018
1.58/1.79	% done 1540 iterations in 1.594s
1.58/1.79	% SZS status Theorem for 'stdin'
1.58/1.79	% SZS output start Refutation
1.58/1.80	tff(zf_stmt_40, axiom,
1.58/1.80	  (![X:place]: ((X = first) | (X = second) | (X = third) | (X = fourth)))).
1.58/1.80	tff('0', plain,
1.58/1.80	    ![X6 : place]: (X6 = first | X6 = second | X6 = third | X6 = fourth),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_40])).
1.58/1.80	tff('1', plain,
1.58/1.80	    ![X0 : place, X1 : place]:
1.58/1.80	      (X1 = X0
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = third
1.58/1.80	       | X0 = first
1.58/1.80	       | X1 = fourth
1.58/1.80	       | X1 = third
1.58/1.80	       | X1 = first),
1.58/1.80	    inference('sup+', [status(thm)], ['0', '0'])).
1.58/1.80	tff(zf_stmt_47, axiom,
1.58/1.80	  ((app_encode_app(knowheyan,place,place_of,b) != third) & 
1.58/1.80	   (app_encode_app(knowheyan,place,place_of,c) != third))).
1.58/1.80	tff('2', plain, app_encode_app(knowheyan, place, place_of, b) != third,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_47])).
1.58/1.80	tff('3', plain,
1.58/1.80	    (third != third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = first),
1.58/1.80	    inference('sup-', [status(thm)], ['0', '2'])).
1.58/1.80	tff('4', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = fourth),
1.58/1.80	    inference('simplify', [status(thm)], ['3'])).
1.58/1.80	tff(zf_stmt_46, axiom,
1.58/1.80	  ((app_encode_app(knowheyan,place,place_of,b) != fourth) & 
1.58/1.80	   (![X:knowheyan]:
1.58/1.80	      ((app_encode_app(knowheyan,entry,entry_of,X) = laser_etching) =>
1.58/1.80	       (app_encode_app(knowheyan,place,place_of,X) != fourth))))).
1.58/1.80	tff('5', plain, app_encode_app(knowheyan, place, place_of, b) != fourth,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.58/1.80	tff('6', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = second),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['4', '5'])).
1.58/1.80	tff(zf_stmt_42, axiom,
1.58/1.80	  (![X:knowheyan,Y:knowheyan]:
1.58/1.80	     ((X != Y) =>
1.58/1.80	      (app_encode_app(knowheyan,place,place_of,X) !=
1.58/1.80	       app_encode_app(knowheyan,place,place_of,Y))))).
1.58/1.80	tff('7', plain,
1.58/1.80	    ![X9 : knowheyan, X10 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X10)
1.58/1.80	        != app_encode_app(knowheyan, place, place_of, X9)
1.58/1.80	       | X10 = X9),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_42])).
1.58/1.80	tff('8', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != second
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	       | X0 = b),
1.58/1.80	    inference('sup-', [status(thm)], ['6', '7'])).
1.58/1.80	tff('9', plain,
1.58/1.80	    ![X0 : place, X1 : place]:
1.58/1.80	      (X1 = X0
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = third
1.58/1.80	       | X0 = second
1.58/1.80	       | X1 = fourth
1.58/1.80	       | X1 = third
1.58/1.80	       | X1 = second),
1.58/1.80	    inference('sup+', [status(thm)], ['0', '0'])).
1.58/1.80	tff('10', plain, app_encode_app(knowheyan, place, place_of, c) != third,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_47])).
1.58/1.80	tff('11', plain,
1.58/1.80	    (third != third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first),
1.58/1.80	    inference('sup-', [status(thm)], ['0', '10'])).
1.58/1.80	tff('12', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
1.58/1.80	    inference('simplify', [status(thm)], ['11'])).
1.58/1.80	tff(zf_stmt_38, axiom,
1.58/1.80	  (![X:knowheyan]: ((X = a) | (X = b) | (X = c) | (X = d)))).
1.58/1.80	tff('13', plain, ![X4 : knowheyan]: (X4 = a | X4 = b | X4 = c | X4 = d),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_38])).
1.58/1.80	tff(zf_stmt_39, axiom,
1.58/1.80	  (![X:entry]:
1.58/1.80	     ((X = collage_painting) | (X = holography) | (X = laser_etching) | 
1.58/1.80	      (X = reconstituted_materials_sculpture)))).
1.58/1.80	tff('14', plain,
1.58/1.80	    ![X5 : entry]:
1.58/1.80	      (X5 = collage_painting
1.58/1.80	       | X5 = holography
1.58/1.80	       | X5 = laser_etching
1.58/1.80	       | X5 = reconstituted_materials_sculpture),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_39])).
1.58/1.80	tff('15', plain,
1.58/1.80	    ![X0 : entry, X1 : entry]:
1.58/1.80	      (X1 = X0
1.58/1.80	       | X0 = reconstituted_materials_sculpture
1.58/1.80	       | X0 = laser_etching
1.58/1.80	       | X0 = holography
1.58/1.80	       | X1 = reconstituted_materials_sculpture
1.58/1.80	       | X1 = laser_etching
1.58/1.80	       | X1 = holography),
1.58/1.80	    inference('sup+', [status(thm)], ['14', '14'])).
1.58/1.80	tff(zf_stmt_45, axiom,
1.58/1.80	  (![X:knowheyan]:
1.58/1.80	     ((app_encode_app(knowheyan,entry,entry_of,X) = collage_painting) =>
1.58/1.80	      ((X != a) & (X != c) & 
1.58/1.80	       (app_encode_app(knowheyan,place,place_of,X) != first) & 
1.58/1.80	       (app_encode_app(knowheyan,place,place_of,X) != second))))).
1.58/1.80	tff('16', plain,
1.58/1.80	    ![X12 : knowheyan]:
1.58/1.80	      (X12 != c
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X12) != collage_painting),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_45])).
1.58/1.80	tff('17', plain,
1.58/1.80	    app_encode_app(knowheyan, entry, entry_of, c) != collage_painting,
1.58/1.80	    inference('simplify', [status(thm)], ['16'])).
1.58/1.80	tff('18', plain,
1.58/1.80	    ![X0 : entry]:
1.58/1.80	      (X0 != collage_painting
1.58/1.80	       | X0 = holography
1.58/1.80	       | X0 = laser_etching
1.58/1.80	       | X0 = reconstituted_materials_sculpture
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, c) = holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, c)
1.58/1.80	          = reconstituted_materials_sculpture),
1.58/1.80	    inference('sup-', [status(thm)], ['15', '17'])).
1.58/1.80	tff('19', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, c)
1.58/1.80	      = reconstituted_materials_sculpture
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = holography
1.58/1.80	     | collage_painting = reconstituted_materials_sculpture
1.58/1.80	     | collage_painting = laser_etching
1.58/1.80	     | collage_painting = holography),
1.58/1.80	    inference('simplify', [status(thm)], ['18'])).
1.58/1.80	tff(zf_stmt_22, axiom, (collage_painting != holography)).
1.58/1.80	tff('20', plain, collage_painting != holography,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_22])).
1.58/1.80	tff(zf_stmt_23, axiom, (collage_painting != laser_etching)).
1.58/1.80	tff('21', plain, collage_painting != laser_etching,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_23])).
1.58/1.80	tff(zf_stmt_24, axiom,
1.58/1.80	  (collage_painting != reconstituted_materials_sculpture)).
1.58/1.80	tff('22', plain, collage_painting != reconstituted_materials_sculpture,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_24])).
1.58/1.80	tff('23', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, c)
1.58/1.80	      = reconstituted_materials_sculpture
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['19', '20', '21', '22'])).
1.58/1.80	tff('24', plain,
1.58/1.80	    ![X12 : knowheyan]:
1.58/1.80	      (X12 != a
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X12) != collage_painting),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_45])).
1.58/1.80	tff('25', plain,
1.58/1.80	    app_encode_app(knowheyan, entry, entry_of, a) != collage_painting,
1.58/1.80	    inference('simplify', [status(thm)], ['24'])).
1.58/1.80	tff('26', plain,
1.58/1.80	    ![X0 : entry]:
1.58/1.80	      (X0 != collage_painting
1.58/1.80	       | X0 = holography
1.58/1.80	       | X0 = laser_etching
1.58/1.80	       | X0 = reconstituted_materials_sculpture
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, a) = holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, a)
1.58/1.80	          = reconstituted_materials_sculpture),
1.58/1.80	    inference('sup-', [status(thm)], ['15', '25'])).
1.58/1.80	tff('27', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, a)
1.58/1.80	      = reconstituted_materials_sculpture
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, a) = holography
1.58/1.80	     | collage_painting = reconstituted_materials_sculpture
1.58/1.80	     | collage_painting = laser_etching
1.58/1.80	     | collage_painting = holography),
1.58/1.80	    inference('simplify', [status(thm)], ['26'])).
1.58/1.80	tff(zf_stmt_43, axiom,
1.58/1.80	  ((app_encode_app(knowheyan,place,place_of,a) != first) & 
1.58/1.80	   (app_encode_app(knowheyan,entry,entry_of,a) != holography))).
1.58/1.80	tff('28', plain, app_encode_app(knowheyan, entry, entry_of, a) != holography,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_43])).
1.58/1.80	tff(zf_stmt_48, axiom,
1.58/1.80	  ((app_encode_app(knowheyan,entry,entry_of,b) != laser_etching) & 
1.58/1.80	   (![X:knowheyan]:
1.58/1.80	      ((app_encode_app(knowheyan,entry,entry_of,X) = laser_etching) =>
1.58/1.80	       ((X != a) & (app_encode_app(knowheyan,place,place_of,X) != second)))))).
1.58/1.80	tff('29', plain,
1.58/1.80	    ![X14 : knowheyan]:
1.58/1.80	      (X14 != a
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X14) != laser_etching),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_48])).
1.58/1.80	tff('30', plain,
1.58/1.80	    app_encode_app(knowheyan, entry, entry_of, a) != laser_etching,
1.58/1.80	    inference('simplify', [status(thm)], ['29'])).
1.58/1.80	tff('31', plain,
1.58/1.80	    app_encode_app(knowheyan, entry, entry_of, a)
1.58/1.80	     = reconstituted_materials_sculpture,
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['27', '20', '21', '22', '28', '30'])).
1.58/1.80	tff(zf_stmt_41, axiom,
1.58/1.80	  (![X:knowheyan,Y:knowheyan]:
1.58/1.80	     ((X != Y) =>
1.58/1.80	      (app_encode_app(knowheyan,entry,entry_of,X) !=
1.58/1.80	       app_encode_app(knowheyan,entry,entry_of,Y))))).
1.58/1.80	tff('32', plain,
1.58/1.80	    ![X7 : knowheyan, X8 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X8)
1.58/1.80	        != app_encode_app(knowheyan, entry, entry_of, X7)
1.58/1.80	       | X8 = X7),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_41])).
1.58/1.80	tff('33', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X0)
1.58/1.80	        != reconstituted_materials_sculpture
1.58/1.80	       | X0 = a),
1.58/1.80	    inference('sup-', [status(thm)], ['31', '32'])).
1.58/1.80	tff('34', plain,
1.58/1.80	    (reconstituted_materials_sculpture != reconstituted_materials_sculpture
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = holography
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	     | c = a),
1.58/1.80	    inference('sup-', [status(thm)], ['23', '33'])).
1.58/1.80	tff('35', plain,
1.58/1.80	    (c = a
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
1.58/1.80	    inference('simplify', [status(thm)], ['34'])).
1.58/1.80	tff(zf_stmt_13, axiom, (a != c)).
1.58/1.80	tff('36', plain, a != c, inference('cnf', [status(esa)], [zf_stmt_13])).
1.58/1.80	tff('37', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['35', '36'])).
1.58/1.80	tff('38', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | X0 = d
1.58/1.80	       | X0 = b
1.58/1.80	       | X0 = a
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching),
1.58/1.80	    inference('sup+', [status(thm)], ['13', '37'])).
1.58/1.80	tff('39', plain,
1.58/1.80	    ![X14 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X14) != second
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X14) != laser_etching),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_48])).
1.58/1.80	tff('40', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (laser_etching != laser_etching
1.58/1.80	       | X0 = a
1.58/1.80	       | X0 = b
1.58/1.80	       | X0 = d
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, c) != second),
1.58/1.80	    inference('sup-', [status(thm)], ['38', '39'])).
1.58/1.80	tff('41', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, c) != second
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | X0 = d
1.58/1.80	       | X0 = b
1.58/1.80	       | X0 = a),
1.58/1.80	    inference('simplify', [status(thm)], ['40'])).
1.58/1.80	tff('42', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (second != second
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	       | X0 = a
1.58/1.80	       | X0 = b
1.58/1.80	       | X0 = d
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography),
1.58/1.80	    inference('sup-', [status(thm)], ['12', '41'])).
1.58/1.80	tff('43', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | X0 = d
1.58/1.80	       | X0 = b
1.58/1.80	       | X0 = a
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, c) = fourth),
1.58/1.80	    inference('simplify', [status(thm)], ['42'])).
1.58/1.80	tff(zf_stmt_44, axiom,
1.58/1.80	  (![X:knowheyan]:
1.58/1.80	     ((app_encode_app(knowheyan,place,place_of,X) = fourth) =>
1.58/1.80	      ((app_encode_app(knowheyan,entry,entry_of,X) !=
1.58/1.80	        reconstituted_materials_sculpture) & 
1.58/1.80	       (app_encode_app(knowheyan,entry,entry_of,X) != holography))))).
1.58/1.80	tff('44', plain,
1.58/1.80	    ![X11 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X11)
1.58/1.80	        != reconstituted_materials_sculpture
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X11) != fourth),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_44])).
1.58/1.80	tff('45', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (reconstituted_materials_sculpture != reconstituted_materials_sculpture
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
1.58/1.80	    inference('sup-', [status(thm)], ['14', '44'])).
1.58/1.80	tff('46', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != fourth
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching),
1.58/1.80	    inference('simplify', [status(thm)], ['45'])).
1.58/1.80	tff('47', plain,
1.58/1.80	    ![X11 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X11) != holography
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X11) != fourth),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_44])).
1.58/1.80	tff('48', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (holography != holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X0) != fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
1.58/1.80	    inference('sup-', [status(thm)], ['46', '47'])).
1.58/1.80	tff('49', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != fourth
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching),
1.58/1.80	    inference('simplify', [status(thm)], ['48'])).
1.58/1.80	tff('50', plain,
1.58/1.80	    ![X13 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X13) != fourth
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X13) != laser_etching),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.58/1.80	tff('51', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
1.58/1.80	    inference('clc', [status(thm)], ['49', '50'])).
1.58/1.80	tff('52', plain,
1.58/1.80	    (collage_painting != collage_painting
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) != fourth),
1.58/1.80	    inference('sup-', [status(thm)], ['51', '17'])).
1.58/1.80	tff('53', plain, app_encode_app(knowheyan, place, place_of, c) != fourth,
1.58/1.80	    inference('simplify', [status(thm)], ['52'])).
1.58/1.80	tff('54', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | X0 = d
1.58/1.80	       | X0 = b
1.58/1.80	       | X0 = a
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, c) = first),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['43', '53'])).
1.58/1.80	tff('55', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (reconstituted_materials_sculpture != reconstituted_materials_sculpture
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.58/1.80	       | X0 = a),
1.58/1.80	    inference('sup-', [status(thm)], ['14', '33'])).
1.58/1.80	tff('56', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (X0 = a
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching),
1.58/1.80	    inference('simplify', [status(thm)], ['55'])).
1.58/1.80	tff('57', plain,
1.58/1.80	    ![X0 : entry, X1 : entry]:
1.58/1.80	      (X1 = X0
1.58/1.80	       | X0 = reconstituted_materials_sculpture
1.58/1.80	       | X0 = holography
1.58/1.80	       | X0 = collage_painting
1.58/1.80	       | X1 = reconstituted_materials_sculpture
1.58/1.80	       | X1 = holography
1.58/1.80	       | X1 = collage_painting),
1.58/1.80	    inference('sup+', [status(thm)], ['14', '14'])).
1.58/1.80	tff('58', plain,
1.58/1.80	    app_encode_app(knowheyan, entry, entry_of, b) != laser_etching,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_48])).
1.58/1.80	tff('59', plain,
1.58/1.80	    ![X0 : entry]:
1.58/1.80	      (X0 != laser_etching
1.58/1.80	       | X0 = collage_painting
1.58/1.80	       | X0 = holography
1.58/1.80	       | X0 = reconstituted_materials_sculpture
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, b) = holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, b)
1.58/1.80	          = reconstituted_materials_sculpture),
1.58/1.80	    inference('sup-', [status(thm)], ['57', '58'])).
1.58/1.80	tff('60', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, b)
1.58/1.80	      = reconstituted_materials_sculpture
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = holography
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
1.58/1.80	     | laser_etching = reconstituted_materials_sculpture
1.58/1.80	     | laser_etching = holography
1.58/1.80	     | laser_etching = collage_painting),
1.58/1.80	    inference('simplify', [status(thm)], ['59'])).
1.58/1.80	tff(zf_stmt_25, axiom, (holography != laser_etching)).
1.58/1.80	tff('61', plain, holography != laser_etching,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_25])).
1.58/1.80	tff(zf_stmt_27, axiom, (laser_etching != reconstituted_materials_sculpture)).
1.58/1.80	tff('62', plain, laser_etching != reconstituted_materials_sculpture,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_27])).
1.58/1.80	tff('63', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, b)
1.58/1.80	      = reconstituted_materials_sculpture
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = holography
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['60', '21', '61', '62'])).
1.58/1.80	tff('64', plain,
1.58/1.80	    (holography = reconstituted_materials_sculpture
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
1.58/1.80	     | b = a
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = holography),
1.58/1.80	    inference('sup+', [status(thm)], ['56', '63'])).
1.58/1.80	tff('65', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, b) = holography
1.58/1.80	     | b = a
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = laser_etching
1.58/1.80	     | holography = reconstituted_materials_sculpture),
1.58/1.80	    inference('simplify', [status(thm)], ['64'])).
1.58/1.80	tff(zf_stmt_26, axiom, (holography != reconstituted_materials_sculpture)).
1.58/1.80	tff('66', plain, holography != reconstituted_materials_sculpture,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_26])).
1.58/1.80	tff(zf_stmt_12, axiom, (a != b)).
1.58/1.80	tff('67', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_12])).
1.58/1.80	tff('68', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, b) = holography
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['65', '66', '58', '67'])).
1.58/1.80	tff('69', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, entry, entry_of, X0) != holography
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	       | X0 = c),
1.58/1.80	    inference('sup-', [status(thm)], ['37', '32'])).
1.58/1.80	tff('70', plain,
1.58/1.80	    (holography != holography
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
1.58/1.80	     | b = c
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching),
1.58/1.80	    inference('sup-', [status(thm)], ['68', '69'])).
1.58/1.80	tff('71', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	     | b = c
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
1.58/1.80	    inference('simplify', [status(thm)], ['70'])).
1.58/1.80	tff(zf_stmt_15, axiom, (b != c)).
1.58/1.80	tff('72', plain, b != c, inference('cnf', [status(esa)], [zf_stmt_15])).
1.58/1.80	tff('73', plain,
1.58/1.80	    (app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['71', '72'])).
1.58/1.80	tff('74', plain,
1.58/1.80	    (holography = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | c = a
1.58/1.80	     | c = b
1.58/1.80	     | c = d
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
1.58/1.80	    inference('sup+', [status(thm)], ['54', '73'])).
1.58/1.80	tff(zf_stmt_17, axiom, (c != d)).
1.58/1.80	tff('75', plain, c != d, inference('cnf', [status(esa)], [zf_stmt_17])).
1.58/1.80	tff('76', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['74', '75', '72', '36', '61'])).
1.58/1.80	tff('77', plain,
1.58/1.80	    ![X12 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X12) != first
1.58/1.80	       | app_encode_app(knowheyan, entry, entry_of, X12) != collage_painting),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_45])).
1.58/1.80	tff('78', plain,
1.58/1.80	    (collage_painting != collage_painting
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) != first),
1.58/1.80	    inference('sup-', [status(thm)], ['76', '77'])).
1.58/1.80	tff('79', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) != first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first),
1.58/1.80	    inference('simplify', [status(thm)], ['78'])).
1.58/1.80	tff('80', plain,
1.58/1.80	    (second != second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | c = b
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = first),
1.58/1.80	    inference('sup-', [status(thm)], ['12', '8'])).
1.58/1.80	tff('81', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | c = b
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
1.58/1.80	    inference('simplify', [status(thm)], ['80'])).
1.58/1.80	tff('82', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['81', '72'])).
1.58/1.80	tff('83', plain,
1.58/1.80	    (third = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = first),
1.58/1.80	    inference('sup+', [status(thm)], ['0', '82'])).
1.58/1.80	tff('84', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	     | third = first),
1.58/1.80	    inference('simplify', [status(thm)], ['83'])).
1.58/1.80	tff(zf_stmt_33, axiom, (first != third)).
1.58/1.80	tff('85', plain, first != third,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_33])).
1.58/1.80	tff('86', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['84', '85'])).
1.58/1.80	tff('87', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = second),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['86', '53'])).
1.58/1.80	tff('88', plain,
1.58/1.80	    (first = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = first),
1.58/1.80	    inference('sup+', [status(thm)], ['82', '87'])).
1.58/1.80	tff('89', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.58/1.80	     | first = second),
1.58/1.80	    inference('simplify', [status(thm)], ['88'])).
1.58/1.80	tff(zf_stmt_32, axiom, (first != second)).
1.58/1.80	tff('90', plain, first != second,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_32])).
1.58/1.80	tff('91', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, c) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = first),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['89', '90', '53'])).
1.58/1.80	tff('92', plain, app_encode_app(knowheyan, place, place_of, c) = first,
1.58/1.80	    inference('clc', [status(thm)], ['79', '91'])).
1.58/1.80	tff('93', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != first | X0 = c),
1.58/1.80	    inference('sup-', [status(thm)], ['92', '7'])).
1.58/1.80	tff('94', plain,
1.58/1.80	    ![X0 : place, X1 : knowheyan]:
1.58/1.80	      (X0 != first
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = third
1.58/1.80	       | X0 = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = second
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
1.58/1.80	       | X1 = c),
1.58/1.80	    inference('sup-', [status(thm)], ['9', '93'])).
1.58/1.80	tff('95', plain,
1.58/1.80	    ![X1 : knowheyan]:
1.58/1.80	      (X1 = c
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = second
1.58/1.80	       | first = fourth
1.58/1.80	       | first = third
1.58/1.80	       | first = second),
1.58/1.80	    inference('simplify', [status(thm)], ['94'])).
1.58/1.80	tff(zf_stmt_34, axiom, (first != fourth)).
1.58/1.80	tff('96', plain, first != fourth,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_34])).
1.58/1.80	tff('97', plain,
1.58/1.80	    ![X1 : knowheyan]:
1.58/1.80	      (X1 = c
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = second),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['95', '90', '85', '96'])).
1.58/1.80	tff('98', plain,
1.58/1.80	    (third != third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = fourth
1.58/1.80	     | b = c),
1.58/1.80	    inference('sup-', [status(thm)], ['97', '2'])).
1.58/1.80	tff('99', plain,
1.58/1.80	    (b = c
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) = second),
1.58/1.80	    inference('simplify', [status(thm)], ['98'])).
1.58/1.80	tff('100', plain, app_encode_app(knowheyan, place, place_of, b) = second,
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['99', '5', '72'])).
1.58/1.80	tff('101', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != second
1.58/1.80	       | second = first
1.58/1.80	       | X0 = b),
1.58/1.80	    inference('demod', [status(thm)], ['8', '100'])).
1.58/1.80	tff('102', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != second | X0 = b),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['101', '90'])).
1.58/1.80	tff('103', plain,
1.58/1.80	    ![X0 : place, X1 : knowheyan]:
1.58/1.80	      (X0 != second
1.58/1.80	       | X0 = first
1.58/1.80	       | X0 = third
1.58/1.80	       | X0 = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = first
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
1.58/1.80	       | X1 = b),
1.58/1.80	    inference('sup-', [status(thm)], ['1', '102'])).
1.58/1.80	tff('104', plain,
1.58/1.80	    ![X1 : knowheyan]:
1.58/1.80	      (X1 = b
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = first
1.58/1.80	       | second = fourth
1.58/1.80	       | second = third
1.58/1.80	       | second = first),
1.58/1.80	    inference('simplify', [status(thm)], ['103'])).
1.58/1.80	tff(zf_stmt_35, axiom, (second != third)).
1.58/1.80	tff('105', plain, second != third,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_35])).
1.58/1.80	tff(zf_stmt_36, axiom, (second != fourth)).
1.58/1.80	tff('106', plain, second != fourth,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_36])).
1.58/1.80	tff('107', plain,
1.58/1.80	    ![X1 : knowheyan]:
1.58/1.80	      (X1 = b
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X1) = first),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['104', '90', '105', '106'])).
1.58/1.80	tff('108', plain,
1.58/1.80	    ![X0 : place, X1 : place]:
1.58/1.80	      (X1 = X0
1.58/1.80	       | X0 = third
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = first
1.58/1.80	       | X1 = third
1.58/1.80	       | X1 = second
1.58/1.80	       | X1 = first),
1.58/1.80	    inference('sup+', [status(thm)], ['0', '0'])).
1.58/1.80	tff(zf_stmt_49, conjecture,
1.58/1.80	  ((app_encode_app(knowheyan,place,place_of,a) = third) & 
1.58/1.80	   (app_encode_app(knowheyan,place,place_of,b) = second) & 
1.58/1.80	   (app_encode_app(knowheyan,place,place_of,c) = first) & 
1.58/1.80	   (app_encode_app(knowheyan,place,place_of,d) = fourth))).
1.58/1.80	tff(zf_stmt_0, negated_conjecture,
1.58/1.80	  (~
1.58/1.80	    ((app_encode_app(knowheyan,place,place_of,a) = third) & 
1.58/1.80	     (app_encode_app(knowheyan,place,place_of,b) = second) & 
1.58/1.80	     (app_encode_app(knowheyan,place,place_of,c) = first) & 
1.58/1.80	     (app_encode_app(knowheyan,place,place_of,d) = fourth)))).
1.58/1.80	tff('109', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, a) != third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) != second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, c) != first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.58/1.80	tff('110', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, a) != third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) != second
1.58/1.80	     | first != first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.58/1.80	    inference('demod', [status(thm)], ['109', '92'])).
1.58/1.80	tff('111', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, d) != fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, b) != second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, a) != third),
1.58/1.80	    inference('simplify', [status(thm)], ['110'])).
1.58/1.80	tff('112', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, d) != fourth
1.58/1.80	     | second != second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, a) != third),
1.58/1.80	    inference('demod', [status(thm)], ['111', '100'])).
1.58/1.80	tff('113', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, a) != third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.58/1.80	    inference('simplify', [status(thm)], ['112'])).
1.58/1.80	tff('114', plain, app_encode_app(knowheyan, place, place_of, a) != first,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_43])).
1.58/1.80	tff('115', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (X0 != first
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = third
1.58/1.80	       | X0 = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = second
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = fourth),
1.58/1.80	    inference('sup-', [status(thm)], ['9', '114'])).
1.58/1.80	tff('116', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, a) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, a) = third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, a) = second
1.58/1.80	     | first = fourth
1.58/1.80	     | first = third
1.58/1.80	     | first = second),
1.58/1.80	    inference('simplify', [status(thm)], ['115'])).
1.58/1.80	tff('117', plain,
1.58/1.80	    (holography != holography
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, a) = collage_painting
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, a) != fourth),
1.58/1.80	    inference('sup-', [status(thm)], ['46', '28'])).
1.58/1.80	tff('118', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, a) != fourth
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, a) = collage_painting
1.58/1.80	     | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching),
1.58/1.80	    inference('simplify', [status(thm)], ['117'])).
1.58/1.80	tff('119', plain, app_encode_app(knowheyan, place, place_of, a) != fourth,
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['118', '30', '25'])).
1.58/1.80	tff('120', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, a) = third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, a) = second),
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['116', '90', '85', '96', '119'])).
1.58/1.80	tff('121', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) = third
1.58/1.80	       | X0 = d
1.58/1.80	       | X0 = c
1.58/1.80	       | X0 = b
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = second),
1.58/1.80	    inference('sup+', [status(thm)], ['13', '120'])).
1.58/1.80	tff('122', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (third = second
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = first
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = fourth
1.58/1.80	       | a = b
1.58/1.80	       | X0 = b
1.58/1.80	       | X0 = c
1.58/1.80	       | X0 = d
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X0) = third),
1.58/1.80	    inference('sup+', [status(thm)], ['107', '121'])).
1.58/1.80	tff('123', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (X0 = b
1.58/1.80	       | X0 = c
1.58/1.80	       | X0 = d
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, X0) = third),
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['122', '67', '119', '114', '105'])).
1.58/1.80	tff('124', plain,
1.58/1.80	    ![X0 : place, X1 : place]:
1.58/1.80	      (X1 = X0
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = first
1.58/1.80	       | X1 = fourth
1.58/1.80	       | X1 = second
1.58/1.80	       | X1 = first),
1.58/1.80	    inference('sup+', [status(thm)], ['0', '0'])).
1.58/1.80	tff('125', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (second = third
1.58/1.80	       | X0 = first
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = first
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = fourth
1.58/1.80	       | X0 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = second),
1.58/1.80	    inference('sup+', [status(thm)], ['124', '120'])).
1.58/1.80	tff('126', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (X0 = first
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = second),
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['125', '119', '114', '105'])).
1.58/1.80	tff('127', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (third = second
1.58/1.80	       | a = d
1.58/1.80	       | a = c
1.58/1.80	       | a = b
1.58/1.80	       | X0 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = first),
1.58/1.80	    inference('sup+', [status(thm)], ['123', '126'])).
1.58/1.80	tff(zf_stmt_14, axiom, (a != d)).
1.58/1.80	tff('128', plain, a != d, inference('cnf', [status(esa)], [zf_stmt_14])).
1.58/1.80	tff('129', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (X0 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = first),
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['127', '67', '36', '128', '105'])).
1.58/1.80	tff('130', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (second != app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | X0 = first
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = app_encode_app(knowheyan, place, place_of, a)),
1.58/1.80	    inference('eq_fact', [status(thm)], ['129'])).
1.58/1.80	tff('131', plain,
1.58/1.80	    ![X0 : place, X1 : place]:
1.58/1.80	      (second != X0
1.58/1.80	       | X0 = first
1.58/1.80	       | X0 = third
1.58/1.80	       | X0 = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = first
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = fourth
1.58/1.80	       | X1 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | X1 = fourth
1.58/1.80	       | X1 = first),
1.58/1.80	    inference('sup-', [status(thm)], ['1', '130'])).
1.58/1.80	tff('132', plain,
1.58/1.80	    ![X1 : place]:
1.58/1.80	      (X1 = first
1.58/1.80	       | X1 = fourth
1.58/1.80	       | X1 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = fourth
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = first
1.58/1.80	       | second = fourth
1.58/1.80	       | second = third
1.58/1.80	       | second = first),
1.58/1.80	    inference('simplify', [status(thm)], ['131'])).
1.58/1.80	tff('133', plain,
1.58/1.80	    ![X1 : place]:
1.58/1.80	      (X1 = first
1.58/1.80	       | X1 = fourth
1.58/1.80	       | X1 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = third),
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['132', '90', '105', '106', '114', '119'])).
1.58/1.80	tff('134', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (third != X0
1.58/1.80	       | X0 = app_encode_app(knowheyan, place, place_of, a)
1.58/1.80	       | X0 = fourth
1.58/1.80	       | X0 = first),
1.58/1.80	    inference('eq_fact', [status(thm)], ['133'])).
1.58/1.80	tff('135', plain,
1.58/1.80	    (third = first
1.58/1.80	     | third = fourth
1.58/1.80	     | third = app_encode_app(knowheyan, place, place_of, a)),
1.58/1.80	    inference('simplify', [status(thm)], ['134'])).
1.58/1.80	tff(zf_stmt_37, axiom, (third != fourth)).
1.58/1.80	tff('136', plain, third != fourth,
1.58/1.80	    inference('cnf', [status(esa)], [zf_stmt_37])).
1.58/1.80	tff('137', plain, third = app_encode_app(knowheyan, place, place_of, a),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['135', '136', '85'])).
1.58/1.80	tff('138', plain,
1.58/1.80	    (third != third | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.58/1.80	    inference('demod', [status(thm)], ['113', '137'])).
1.58/1.80	tff('139', plain, app_encode_app(knowheyan, place, place_of, d) != fourth,
1.58/1.80	    inference('simplify', [status(thm)], ['138'])).
1.58/1.80	tff('140', plain,
1.58/1.80	    ![X0 : place]:
1.58/1.80	      (X0 != fourth
1.58/1.80	       | X0 = first
1.58/1.80	       | X0 = second
1.58/1.80	       | X0 = third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, d) = first
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, d) = second
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, d) = third),
1.58/1.80	    inference('sup-', [status(thm)], ['108', '139'])).
1.58/1.80	tff('141', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, d) = third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first
1.58/1.80	     | fourth = third
1.58/1.80	     | fourth = second
1.58/1.80	     | fourth = first),
1.58/1.80	    inference('simplify', [status(thm)], ['140'])).
1.58/1.80	tff('142', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, d) = third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['141', '96', '106', '136'])).
1.58/1.80	tff('143', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != third
1.58/1.80	       | app_encode_app(knowheyan, place, place_of, a) = second
1.58/1.80	       | X0 = a),
1.58/1.80	    inference('sup-', [status(thm)], ['120', '7'])).
1.58/1.80	tff('144', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != third
1.58/1.80	       | third = second
1.58/1.80	       | X0 = a),
1.58/1.80	    inference('demod', [status(thm)], ['143', '137'])).
1.58/1.80	tff('145', plain,
1.58/1.80	    ![X0 : knowheyan]:
1.58/1.80	      (app_encode_app(knowheyan, place, place_of, X0) != third | X0 = a),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['144', '105'])).
1.58/1.80	tff('146', plain,
1.58/1.80	    (third != third
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = second
1.58/1.80	     | d = a),
1.58/1.80	    inference('sup-', [status(thm)], ['142', '145'])).
1.58/1.80	tff('147', plain,
1.58/1.80	    (d = a
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first),
1.58/1.80	    inference('simplify', [status(thm)], ['146'])).
1.58/1.80	tff('148', plain,
1.58/1.80	    (app_encode_app(knowheyan, place, place_of, d) = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first),
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['147', '128'])).
1.58/1.80	tff('149', plain,
1.58/1.80	    (third = second
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = fourth
1.58/1.80	     | d = b
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first),
1.58/1.80	    inference('sup+', [status(thm)], ['107', '148'])).
1.58/1.80	tff('150', plain,
1.58/1.80	    (d = b
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = fourth
1.58/1.80	     | app_encode_app(knowheyan, place, place_of, d) = first
1.58/1.80	     | third = second),
1.58/1.80	    inference('simplify', [status(thm)], ['149'])).
1.58/1.80	tff(zf_stmt_16, axiom, (b != d)).
1.58/1.80	tff('151', plain, b != d, inference('cnf', [status(esa)], [zf_stmt_16])).
1.58/1.80	tff('152', plain, app_encode_app(knowheyan, place, place_of, d) = first,
1.58/1.80	    inference('simplify_reflect-', [status(thm)],
1.58/1.80	              ['150', '105', '139', '151'])).
1.58/1.80	tff('153', plain, (first != first | d = c),
1.58/1.80	    inference('sup-', [status(thm)], ['152', '93'])).
1.58/1.80	tff('154', plain, d = c, inference('simplify', [status(thm)], ['153'])).
1.58/1.80	tff('155', plain, $false,
1.58/1.80	    inference('simplify_reflect-', [status(thm)], ['154', '75'])).
1.58/1.80	
1.58/1.80	% SZS output end Refutation
1.58/1.80	EOF
