0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
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
0.00/0.20	% Computer   : n148.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:42:54 CST 2018
1.55/1.78	% done 1034 iterations in 1.581s
1.55/1.78	% SZS status Theorem for 'stdin'
1.55/1.78	% SZS output start Refutation
1.55/1.79	tff(zf_stmt_39, axiom,
1.55/1.79	  (![X:place]: ((X = first) | (X = second) | (X = third) | (X = fourth)))).
1.55/1.79	tff('0', plain,
1.55/1.79	    ![X2 : place]: (X2 = first | X2 = second | X2 = third | X2 = fourth),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_39])).
1.55/1.79	tff(zf_stmt_38, axiom,
1.55/1.79	  (![X:entry]:
1.55/1.79	     ((X = collage_painting) | (X = holography) | (X = laser_etching) | 
1.55/1.79	      (X = reconstituted_materials_sculpture)))).
1.55/1.79	tff('1', plain,
1.55/1.79	    ![X1 : entry]:
1.55/1.79	      (X1 = collage_painting
1.55/1.79	       | X1 = holography
1.55/1.79	       | X1 = laser_etching
1.55/1.79	       | X1 = reconstituted_materials_sculpture),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_38])).
1.55/1.79	tff('2', plain,
1.55/1.79	    ![X0 : entry]:
1.55/1.79	      (X0 = reconstituted_materials_sculpture
1.55/1.79	       | reconstituted_materials_sculpture = laser_etching
1.55/1.79	       | reconstituted_materials_sculpture = holography
1.55/1.79	       | reconstituted_materials_sculpture = collage_painting
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X0 = holography
1.55/1.79	       | X0 = collage_painting),
1.55/1.79	    inference('sup+', [status(thm)], ['1', '1'])).
1.55/1.79	tff(zf_stmt_23, axiom,
1.55/1.79	  (collage_painting != reconstituted_materials_sculpture)).
1.55/1.79	tff('3', plain, collage_painting != reconstituted_materials_sculpture,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_23])).
1.55/1.79	tff(zf_stmt_25, axiom, (holography != reconstituted_materials_sculpture)).
1.55/1.79	tff('4', plain, holography != reconstituted_materials_sculpture,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_25])).
1.55/1.79	tff(zf_stmt_26, axiom, (laser_etching != reconstituted_materials_sculpture)).
1.55/1.79	tff('5', plain, laser_etching != reconstituted_materials_sculpture,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_26])).
1.55/1.79	tff('6', plain,
1.55/1.79	    ![X0 : entry]:
1.55/1.79	      (X0 = reconstituted_materials_sculpture
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X0 = holography
1.55/1.79	       | X0 = collage_painting),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['2', '3', '4', '5'])).
1.55/1.79	tff(zf_stmt_44, axiom,
1.55/1.79	  (![X:knowheyan]:
1.55/1.79	     ((app_encode_app(knowheyan,entry,entry_of,X) = collage_painting) =>
1.55/1.79	      ((X != a) & (X != c) & 
1.55/1.79	       (app_encode_app(knowheyan,place,place_of,X) != first) & 
1.55/1.79	       (app_encode_app(knowheyan,place,place_of,X) != second))))).
1.55/1.79	tff('7', plain,
1.55/1.79	    ![X8 : knowheyan]:
1.55/1.79	      (X8 != a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X8) != collage_painting),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_44])).
1.55/1.79	tff('8', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, a) != collage_painting,
1.55/1.79	    inference('simplify', [status(thm)], ['7'])).
1.55/1.79	tff('9', plain,
1.55/1.79	    ![X0 : entry]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, a) != X0
1.55/1.79	       | X0 = reconstituted_materials_sculpture
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X0 = holography),
1.55/1.79	    inference('sup-', [status(thm)], ['1', '8'])).
1.55/1.79	tff('10', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, a) = holography
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	        = reconstituted_materials_sculpture),
1.55/1.79	    inference('simplify', [status(thm)], ['9'])).
1.55/1.79	tff(zf_stmt_47, axiom,
1.55/1.79	  ((app_encode_app(knowheyan,entry,entry_of,b) != laser_etching) & 
1.55/1.79	   (![X:knowheyan]:
1.55/1.79	      ((app_encode_app(knowheyan,entry,entry_of,X) = laser_etching) =>
1.55/1.79	       ((X != a) & (app_encode_app(knowheyan,place,place_of,X) != second)))))).
1.55/1.79	tff('11', plain,
1.55/1.79	    ![X10 : knowheyan]:
1.55/1.79	      (X10 != a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X10) != laser_etching),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_47])).
1.55/1.79	tff('12', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, a) != laser_etching,
1.55/1.79	    inference('simplify', [status(thm)], ['11'])).
1.55/1.79	tff(zf_stmt_42, axiom,
1.55/1.79	  ((app_encode_app(knowheyan,place,place_of,a) != first) & 
1.55/1.79	   (app_encode_app(knowheyan,entry,entry_of,a) != holography))).
1.55/1.79	tff('13', plain, app_encode_app(knowheyan, entry, entry_of, a) != holography,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_42])).
1.55/1.79	tff('14', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	     = reconstituted_materials_sculpture,
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['10', '12', '13'])).
1.55/1.79	tff('15', plain,
1.55/1.79	    ![X0 : entry]:
1.55/1.79	      (X0 = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X0 = holography
1.55/1.79	       | X0 = collage_painting),
1.55/1.79	    inference('demod', [status(thm)], ['6', '14'])).
1.55/1.79	tff(zf_stmt_40, axiom,
1.55/1.79	  (![X:knowheyan,Y:knowheyan]:
1.55/1.79	     ((X != Y) =>
1.55/1.79	      (app_encode_app(knowheyan,entry,entry_of,X) !=
1.55/1.79	       app_encode_app(knowheyan,entry,entry_of,Y))))).
1.55/1.79	tff('16', plain,
1.55/1.79	    ![X3 : knowheyan, X4 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X4)
1.55/1.79	        != app_encode_app(knowheyan, entry, entry_of, X3)
1.55/1.79	       | X4 = X3),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_40])).
1.55/1.79	tff('17', plain,
1.55/1.79	    ![X0 : entry, X1 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X1) != X0
1.55/1.79	       | X0 = collage_painting
1.55/1.79	       | X0 = holography
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X1 = a),
1.55/1.79	    inference('sup-', [status(thm)], ['15', '16'])).
1.55/1.79	tff('18', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (X1 = a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) = laser_etching
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) = holography
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) = collage_painting),
1.55/1.79	    inference('simplify', [status(thm)], ['17'])).
1.55/1.79	tff('19', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, b) != laser_etching,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_47])).
1.55/1.79	tff('20', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        != app_encode_app(knowheyan, entry, entry_of, X0)
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.55/1.79	       | X0 = a),
1.55/1.79	    inference('sup-', [status(thm)], ['18', '19'])).
1.55/1.79	tff('21', plain,
1.55/1.79	    (b = a
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b) = holography
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
1.55/1.79	    inference('eq_res', [status(thm)], ['20'])).
1.55/1.79	tff(zf_stmt_46, axiom,
1.55/1.79	  ((app_encode_app(knowheyan,place,place_of,b) != third) & 
1.55/1.79	   (app_encode_app(knowheyan,place,place_of,c) != third))).
1.55/1.79	tff('22', plain, app_encode_app(knowheyan, place, place_of, b) != third,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.55/1.79	tff('23', plain,
1.55/1.79	    ![X0 : place]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, b) != X0
1.55/1.79	       | X0 = fourth
1.55/1.79	       | X0 = second
1.55/1.79	       | X0 = first),
1.55/1.79	    inference('sup-', [status(thm)], ['0', '22'])).
1.55/1.79	tff('24', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, b) = first
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) = second
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) = fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['23'])).
1.55/1.79	tff(zf_stmt_45, axiom,
1.55/1.79	  ((app_encode_app(knowheyan,place,place_of,b) != fourth) & 
1.55/1.79	   (![X:knowheyan]:
1.55/1.79	      ((app_encode_app(knowheyan,entry,entry_of,X) = laser_etching) =>
1.55/1.79	       (app_encode_app(knowheyan,place,place_of,X) != fourth))))).
1.55/1.79	tff('25', plain, app_encode_app(knowheyan, place, place_of, b) != fourth,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_45])).
1.55/1.79	tff('26', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, b) = first
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) = second),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['24', '25'])).
1.55/1.79	tff('27', plain,
1.55/1.79	    ![X8 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X8) != second
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X8) != collage_painting),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_44])).
1.55/1.79	tff('28', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X0)
1.55/1.79	        != app_encode_app(knowheyan, place, place_of, b)
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, b) = first
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) != collage_painting),
1.55/1.79	    inference('sup-', [status(thm)], ['26', '27'])).
1.55/1.79	tff('29', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, b) != collage_painting
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) = first),
1.55/1.79	    inference('eq_res', [status(thm)], ['28'])).
1.55/1.79	tff('30', plain,
1.55/1.79	    ![X8 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X8) != first
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X8) != collage_painting),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_44])).
1.55/1.79	tff('31', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, b) != collage_painting,
1.55/1.79	    inference('clc', [status(thm)], ['29', '30'])).
1.55/1.79	tff(zf_stmt_11, axiom, (a != b)).
1.55/1.79	tff('32', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_11])).
1.55/1.79	tff('33', plain, app_encode_app(knowheyan, entry, entry_of, b) = holography,
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['21', '31', '32'])).
1.55/1.79	tff(zf_stmt_37, axiom,
1.55/1.79	  (![X:knowheyan]: ((X = a) | (X = b) | (X = c) | (X = d)))).
1.55/1.79	tff('34', plain, ![X0 : knowheyan]: (X0 = a | X0 = b | X0 = c | X0 = d),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_37])).
1.55/1.79	tff('35', plain,
1.55/1.79	    ![X8 : knowheyan]:
1.55/1.79	      (X8 != c
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X8) != collage_painting),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_44])).
1.55/1.79	tff('36', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, c) != collage_painting,
1.55/1.79	    inference('simplify', [status(thm)], ['35'])).
1.55/1.79	tff('37', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X0) != collage_painting
1.55/1.79	       | X0 = d
1.55/1.79	       | X0 = b
1.55/1.79	       | X0 = a),
1.55/1.79	    inference('sup-', [status(thm)], ['34', '36'])).
1.55/1.79	tff('38', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (collage_painting != collage_painting
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | X0 = a
1.55/1.79	       | X0 = a
1.55/1.79	       | X0 = b
1.55/1.79	       | X0 = d),
1.55/1.79	    inference('sup-', [status(thm)], ['18', '37'])).
1.55/1.79	tff('39', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (X0 = d
1.55/1.79	       | X0 = b
1.55/1.79	       | X0 = a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography),
1.55/1.79	    inference('simplify', [status(thm)], ['38'])).
1.55/1.79	tff(zf_stmt_16, axiom, (c != d)).
1.55/1.79	tff('40', plain, c != d, inference('cnf', [status(esa)], [zf_stmt_16])).
1.55/1.79	tff('41', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (c != X0
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | X0 = a
1.55/1.79	       | X0 = b),
1.55/1.79	    inference('sup-', [status(thm)], ['39', '40'])).
1.55/1.79	tff('42', plain,
1.55/1.79	    (c = b
1.55/1.79	     | c = a
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
1.55/1.79	    inference('simplify', [status(thm)], ['41'])).
1.55/1.79	tff(zf_stmt_12, axiom, (a != c)).
1.55/1.79	tff('43', plain, a != c, inference('cnf', [status(esa)], [zf_stmt_12])).
1.55/1.79	tff(zf_stmt_14, axiom, (b != c)).
1.55/1.79	tff('44', plain, b != c, inference('cnf', [status(esa)], [zf_stmt_14])).
1.55/1.79	tff('45', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['42', '43', '44'])).
1.55/1.79	tff('46', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	      = app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching),
1.55/1.79	    inference('sup+', [status(thm)], ['33', '45'])).
1.55/1.79	tff('47', plain,
1.55/1.79	    ![X10 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X10) != second
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X10) != laser_etching),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_47])).
1.55/1.79	tff('48', plain,
1.55/1.79	    ![X0 : place, X1 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X1) != X0
1.55/1.79	       | X0 = fourth
1.55/1.79	       | X0 = third
1.55/1.79	       | X0 = first
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) != laser_etching),
1.55/1.79	    inference('sup-', [status(thm)], ['0', '47'])).
1.55/1.79	tff('49', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X1) != laser_etching
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = first
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['48'])).
1.55/1.79	tff('50', plain,
1.55/1.79	    (laser_etching != laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = first),
1.55/1.79	    inference('sup-', [status(thm)], ['46', '49'])).
1.55/1.79	tff('51', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, c) = first
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, b)),
1.55/1.79	    inference('simplify', [status(thm)], ['50'])).
1.55/1.79	tff(zf_stmt_43, axiom,
1.55/1.79	  (![X:knowheyan]:
1.55/1.79	     ((app_encode_app(knowheyan,place,place_of,X) = fourth) =>
1.55/1.79	      ((app_encode_app(knowheyan,entry,entry_of,X) !=
1.55/1.79	        reconstituted_materials_sculpture) & 
1.55/1.79	       (app_encode_app(knowheyan,entry,entry_of,X) != holography))))).
1.55/1.79	tff('52', plain,
1.55/1.79	    ![X7 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X7) != holography
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X7) != fourth),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_43])).
1.55/1.79	tff('53', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X0)
1.55/1.79	        != app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
1.55/1.79	    inference('sup-', [status(thm)], ['45', '52'])).
1.55/1.79	tff('54', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, c) != fourth
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching),
1.55/1.79	    inference('eq_res', [status(thm)], ['53'])).
1.55/1.79	tff('55', plain,
1.55/1.79	    ![X9 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X9) != fourth
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X9) != laser_etching),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_45])).
1.55/1.79	tff('56', plain, app_encode_app(knowheyan, place, place_of, c) != fourth,
1.55/1.79	    inference('clc', [status(thm)], ['54', '55'])).
1.55/1.79	tff('57', plain, app_encode_app(knowheyan, place, place_of, c) != third,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.55/1.79	tff('58', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, c) = first
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, b)),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['51', '56', '57'])).
1.55/1.79	tff('59', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (X1 = a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) = laser_etching
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1)
1.55/1.79	          = app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) = collage_painting),
1.55/1.79	    inference('demod', [status(thm)], ['18', '33'])).
1.55/1.79	tff('60', plain,
1.55/1.79	    ![X0 : entry]:
1.55/1.79	      (X0 = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X0 = app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	       | X0 = collage_painting),
1.55/1.79	    inference('demod', [status(thm)], ['15', '33'])).
1.55/1.79	tff('61', plain,
1.55/1.79	    ![X0 : entry, X1 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X1) != X0
1.55/1.79	       | X0 = collage_painting
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X0 = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	       | X1 = b),
1.55/1.79	    inference('sup-', [status(thm)], ['60', '16'])).
1.55/1.79	tff('62', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (X1 = b
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1)
1.55/1.79	          = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) = laser_etching
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X1) = collage_painting),
1.55/1.79	    inference('simplify', [status(thm)], ['61'])).
1.55/1.79	tff('63', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | X0 = a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | X0 = b),
1.55/1.79	    inference('sup+', [status(thm)], ['59', '62'])).
1.55/1.79	tff('64', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (X0 = b
1.55/1.79	       | X0 = a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	          = app_encode_app(knowheyan, entry, entry_of, a)),
1.55/1.79	    inference('simplify', [status(thm)], ['63'])).
1.55/1.79	tff('65', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	     != app_encode_app(knowheyan, entry, entry_of, b),
1.55/1.79	    inference('demod', [status(thm)], ['13', '33'])).
1.55/1.79	tff('66', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (X0 = b
1.55/1.79	       | X0 = a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['64', '65'])).
1.55/1.79	tff('67', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (collage_painting != collage_painting
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | X0 = a
1.55/1.79	       | X0 = b
1.55/1.79	       | X0 = a
1.55/1.79	       | X0 = b
1.55/1.79	       | X0 = d),
1.55/1.79	    inference('sup-', [status(thm)], ['66', '37'])).
1.55/1.79	tff('68', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (X0 = d
1.55/1.79	       | X0 = b
1.55/1.79	       | X0 = a
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching),
1.55/1.79	    inference('simplify', [status(thm)], ['67'])).
1.55/1.79	tff('69', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (c != X0
1.55/1.79	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
1.55/1.79	       | X0 = a
1.55/1.79	       | X0 = b),
1.55/1.79	    inference('sup-', [status(thm)], ['68', '40'])).
1.55/1.79	tff('70', plain,
1.55/1.79	    (c = b
1.55/1.79	     | c = a
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching),
1.55/1.79	    inference('simplify', [status(thm)], ['69'])).
1.55/1.79	tff('71', plain,
1.55/1.79	    app_encode_app(knowheyan, entry, entry_of, c) = laser_etching,
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['70', '43', '44'])).
1.55/1.79	tff('72', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, c) = first
1.55/1.79	     | laser_etching = app_encode_app(knowheyan, entry, entry_of, b)),
1.55/1.79	    inference('demod', [status(thm)], ['58', '71'])).
1.55/1.79	tff('73', plain, app_encode_app(knowheyan, place, place_of, c) = first,
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['72', '19'])).
1.55/1.79	tff('74', plain,
1.55/1.79	    ![X2 : place]:
1.55/1.79	      (X2 = app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	       | X2 = second
1.55/1.79	       | X2 = third
1.55/1.79	       | X2 = fourth),
1.55/1.79	    inference('demod', [status(thm)], ['0', '73'])).
1.55/1.79	tff(zf_stmt_41, axiom,
1.55/1.79	  (![X:knowheyan,Y:knowheyan]:
1.55/1.79	     ((X != Y) =>
1.55/1.79	      (app_encode_app(knowheyan,place,place_of,X) !=
1.55/1.79	       app_encode_app(knowheyan,place,place_of,Y))))).
1.55/1.79	tff('75', plain,
1.55/1.79	    ![X5 : knowheyan, X6 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X6)
1.55/1.79	        != app_encode_app(knowheyan, place, place_of, X5)
1.55/1.79	       | X6 = X5),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_41])).
1.55/1.79	tff('76', plain,
1.55/1.79	    ![X0 : place, X1 : knowheyan]:
1.55/1.79	      (X0 != app_encode_app(knowheyan, place, place_of, X1)
1.55/1.79	       | X0 = fourth
1.55/1.79	       | X0 = third
1.55/1.79	       | X0 = second
1.55/1.79	       | c = X1),
1.55/1.79	    inference('sup-', [status(thm)], ['74', '75'])).
1.55/1.79	tff('77', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (c = X1
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = second
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['76'])).
1.55/1.79	tff('78', plain,
1.55/1.79	    ![X0 : place, X1 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X1) != X0
1.55/1.79	       | X0 = fourth
1.55/1.79	       | X0 = third
1.55/1.79	       | X0 = second
1.55/1.79	       | X1 = c),
1.55/1.79	    inference('sup-', [status(thm)], ['74', '75'])).
1.55/1.79	tff('79', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (X1 = c
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = second
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['78'])).
1.55/1.79	tff('80', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (b != X0
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = fourth
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = second),
1.55/1.79	    inference('sup-', [status(thm)], ['79', '44'])).
1.55/1.79	tff('81', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, b) = second
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) = third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) = fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['80'])).
1.55/1.79	tff('82', plain, app_encode_app(knowheyan, place, place_of, b) = second,
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['81', '25', '22'])).
1.55/1.79	tff('83', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (c = X1
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1)
1.55/1.79	          = app_encode_app(knowheyan, place, place_of, b)
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = fourth),
1.55/1.79	    inference('demod', [status(thm)], ['77', '82'])).
1.55/1.79	tff('84', plain,
1.55/1.79	    ![X2 : place]:
1.55/1.79	      (X2 = app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	       | X2 = app_encode_app(knowheyan, place, place_of, b)
1.55/1.79	       | X2 = third
1.55/1.79	       | X2 = fourth),
1.55/1.79	    inference('demod', [status(thm)], ['74', '82'])).
1.55/1.79	tff('85', plain,
1.55/1.79	    ![X0 : place, X1 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X1) != X0
1.55/1.79	       | X0 = fourth
1.55/1.79	       | X0 = third
1.55/1.79	       | X0 = app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	       | X1 = b),
1.55/1.79	    inference('sup-', [status(thm)], ['84', '75'])).
1.55/1.79	tff('86', plain,
1.55/1.79	    ![X1 : knowheyan]:
1.55/1.79	      (X1 = b
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1)
1.55/1.79	          = app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X1) = fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['85'])).
1.55/1.79	tff('87', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, b)
1.55/1.79	        = app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = fourth
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = third
1.55/1.79	       | c = X0
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = fourth
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = third
1.55/1.79	       | X0 = b),
1.55/1.79	    inference('sup+', [status(thm)], ['83', '86'])).
1.55/1.79	tff('88', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (X0 = b
1.55/1.79	       | c = X0
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = fourth
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, b)
1.55/1.79	          = app_encode_app(knowheyan, place, place_of, c)),
1.55/1.79	    inference('simplify', [status(thm)], ['87'])).
1.55/1.79	tff(zf_stmt_31, axiom, (first != second)).
1.55/1.79	tff('89', plain, first != second,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_31])).
1.55/1.79	tff('90', plain, app_encode_app(knowheyan, place, place_of, c) != second,
1.55/1.79	    inference('demod', [status(thm)], ['89', '73'])).
1.55/1.79	tff('91', plain,
1.55/1.79	    app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	     != app_encode_app(knowheyan, place, place_of, b),
1.55/1.79	    inference('demod', [status(thm)], ['90', '82'])).
1.55/1.79	tff('92', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (X0 = b
1.55/1.79	       | c = X0
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = fourth),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['88', '91'])).
1.55/1.79	tff('93', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (a != X0
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = fourth
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = third
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0)
1.55/1.79	          = app_encode_app(knowheyan, place, place_of, c)),
1.55/1.79	    inference('sup-', [status(thm)], ['86', '32'])).
1.55/1.79	tff('94', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	      = app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, a) = third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, a) = fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['93'])).
1.55/1.79	tff('95', plain,
1.55/1.79	    ![X7 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X7)
1.55/1.79	        != reconstituted_materials_sculpture
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X7) != fourth),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_43])).
1.55/1.79	tff('96', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X0)
1.55/1.79	        != reconstituted_materials_sculpture
1.55/1.79	       | reconstituted_materials_sculpture = laser_etching
1.55/1.79	       | reconstituted_materials_sculpture = holography
1.55/1.79	       | reconstituted_materials_sculpture = collage_painting
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
1.55/1.79	    inference('sup-', [status(thm)], ['1', '95'])).
1.55/1.79	tff('97', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X0)
1.55/1.79	        != reconstituted_materials_sculpture
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['96', '3', '4', '5'])).
1.55/1.79	tff('98', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X0)
1.55/1.79	        != app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
1.55/1.79	    inference('demod', [status(thm)], ['97', '14'])).
1.55/1.79	tff('99', plain, app_encode_app(knowheyan, place, place_of, a) != fourth,
1.55/1.79	    inference('eq_res', [status(thm)], ['98'])).
1.55/1.79	tff('100', plain,
1.55/1.79	    ![X0 : entry]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, b) != X0
1.55/1.79	       | X0 = holography
1.55/1.79	       | X0 = laser_etching
1.55/1.79	       | X0 = app_encode_app(knowheyan, entry, entry_of, a)),
1.55/1.79	    inference('sup-', [status(thm)], ['15', '31'])).
1.55/1.79	tff('101', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	      = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b) = laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b) = holography),
1.55/1.79	    inference('simplify', [status(thm)], ['100'])).
1.55/1.79	tff('102', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	      = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b) = holography),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['101', '19'])).
1.55/1.79	tff('103', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	      = app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, a)),
1.55/1.79	    inference('sup+', [status(thm)], ['45', '102'])).
1.55/1.79	tff('104', plain,
1.55/1.79	    (laser_etching != laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = first),
1.55/1.79	    inference('sup-', [status(thm)], ['103', '49'])).
1.55/1.79	tff('105', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, c) = first
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) = fourth
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, a)),
1.55/1.79	    inference('simplify', [status(thm)], ['104'])).
1.55/1.79	tff('106', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, c) = first
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, a)),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['105', '56', '57'])).
1.55/1.79	tff('107', plain, app_encode_app(knowheyan, place, place_of, a) != first,
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_42])).
1.55/1.79	tff('108', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	      != app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, c)),
1.55/1.79	    inference('sup-', [status(thm)], ['106', '107'])).
1.55/1.79	tff('109', plain,
1.55/1.79	    (app_encode_app(knowheyan, entry, entry_of, b) = laser_etching
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, a)
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	        != app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, b)),
1.55/1.79	    inference('sup+', [status(thm)], ['108', '46'])).
1.55/1.79	tff('110', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	      != app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	     | app_encode_app(knowheyan, entry, entry_of, c)
1.55/1.79	        = app_encode_app(knowheyan, entry, entry_of, b)),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['109', '65', '19'])).
1.55/1.79	tff('111', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, entry, entry_of, X0)
1.55/1.79	        != app_encode_app(knowheyan, entry, entry_of, b)
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	          != app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	       | X0 = c),
1.55/1.79	    inference('sup-', [status(thm)], ['110', '16'])).
1.55/1.79	tff('112', plain,
1.55/1.79	    (b = c
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	        != app_encode_app(knowheyan, place, place_of, c)),
1.55/1.79	    inference('eq_res', [status(thm)], ['111'])).
1.55/1.79	tff('113', plain,
1.55/1.79	    app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	     != app_encode_app(knowheyan, place, place_of, c),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['112', '44'])).
1.55/1.79	tff('114', plain, app_encode_app(knowheyan, place, place_of, a) = third,
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['94', '99', '113'])).
1.55/1.79	tff('115', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (X0 = b
1.55/1.79	       | c = X0
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0)
1.55/1.79	          = app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	       | app_encode_app(knowheyan, place, place_of, X0) = fourth),
1.55/1.79	    inference('demod', [status(thm)], ['92', '114'])).
1.55/1.79	tff(zf_stmt_48, conjecture,
1.55/1.79	  ((app_encode_app(knowheyan,place,place_of,a) = third) & 
1.55/1.79	   (app_encode_app(knowheyan,place,place_of,b) = second) & 
1.55/1.79	   (app_encode_app(knowheyan,place,place_of,c) = first) & 
1.55/1.79	   (app_encode_app(knowheyan,place,place_of,d) = fourth))).
1.55/1.79	tff(zf_stmt_0, negated_conjecture,
1.55/1.79	  (~
1.55/1.79	    ((app_encode_app(knowheyan,place,place_of,a) = third) & 
1.55/1.79	     (app_encode_app(knowheyan,place,place_of,b) = second) & 
1.55/1.79	     (app_encode_app(knowheyan,place,place_of,c) = first) & 
1.55/1.79	     (app_encode_app(knowheyan,place,place_of,d) = fourth)))).
1.55/1.79	tff('116', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, a) != third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) != second
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c) != first
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.55/1.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.55/1.79	tff('117', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, a) != third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) != second
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	        != app_encode_app(knowheyan, place, place_of, c)
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.55/1.79	    inference('demod', [status(thm)], ['116', '73'])).
1.55/1.79	tff('118', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, d) != fourth
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b) != second
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, a) != third),
1.55/1.79	    inference('simplify', [status(thm)], ['117'])).
1.55/1.79	tff('119', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, d) != fourth
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, b)
1.55/1.79	        != app_encode_app(knowheyan, place, place_of, b)
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, a) != third),
1.55/1.79	    inference('demod', [status(thm)], ['118', '82'])).
1.55/1.79	tff('120', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, a) != third
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.55/1.79	    inference('simplify', [status(thm)], ['119'])).
1.55/1.79	tff('121', plain,
1.55/1.79	    (app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	      != app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
1.55/1.79	    inference('demod', [status(thm)], ['120', '114'])).
1.55/1.79	tff('122', plain, app_encode_app(knowheyan, place, place_of, d) != fourth,
1.55/1.79	    inference('simplify', [status(thm)], ['121'])).
1.55/1.79	tff('123', plain,
1.55/1.79	    (fourth != fourth
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, d)
1.55/1.79	        = app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	     | c = d
1.55/1.79	     | d = b),
1.55/1.79	    inference('sup-', [status(thm)], ['115', '122'])).
1.55/1.79	tff('124', plain,
1.55/1.79	    (d = b
1.55/1.79	     | c = d
1.55/1.79	     | app_encode_app(knowheyan, place, place_of, d)
1.55/1.79	        = app_encode_app(knowheyan, place, place_of, a)),
1.55/1.79	    inference('simplify', [status(thm)], ['123'])).
1.55/1.79	tff(zf_stmt_15, axiom, (b != d)).
1.55/1.79	tff('125', plain, b != d, inference('cnf', [status(esa)], [zf_stmt_15])).
1.55/1.79	tff('126', plain,
1.55/1.79	    app_encode_app(knowheyan, place, place_of, d)
1.55/1.79	     = app_encode_app(knowheyan, place, place_of, a),
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['124', '40', '125'])).
1.55/1.79	tff('127', plain,
1.55/1.79	    ![X0 : knowheyan]:
1.55/1.79	      (app_encode_app(knowheyan, place, place_of, X0)
1.55/1.79	        != app_encode_app(knowheyan, place, place_of, a)
1.55/1.79	       | X0 = d),
1.55/1.79	    inference('sup-', [status(thm)], ['126', '75'])).
1.55/1.79	tff('128', plain, a = d, inference('eq_res', [status(thm)], ['127'])).
1.55/1.79	tff(zf_stmt_13, axiom, (a != d)).
1.55/1.79	tff('129', plain, a != d, inference('cnf', [status(esa)], [zf_stmt_13])).
1.55/1.79	tff('130', plain, $false,
1.55/1.79	    inference('simplify_reflect-', [status(thm)], ['128', '129'])).
1.55/1.79	
1.55/1.79	% SZS output end Refutation
1.55/1.79	EOF
