0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
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   : n033.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
0.96/1.15	% done 1514 iterations in 0.949s
0.96/1.15	% SZS status Theorem for 'stdin'
0.96/1.15	% SZS output start Refutation
0.96/1.15	tff(zf_stmt_39, axiom,
0.96/1.15	  (![X:place]: ((X = first) | (X = second) | (X = third) | (X = fourth)))).
0.96/1.15	tff('0', plain,
0.96/1.15	    ![X2 : place]: (X2 = first | X2 = second | X2 = third | X2 = fourth),
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_39])).
0.96/1.15	tff('1', plain,
0.96/1.15	    ![X0 : place, X1 : place]:
0.96/1.15	      (X1 = X0
0.96/1.15	       | X0 = fourth
0.96/1.15	       | X0 = third
0.96/1.15	       | X0 = first
0.96/1.15	       | X1 = fourth
0.96/1.15	       | X1 = third
0.96/1.15	       | X1 = first),
0.96/1.15	    inference('sup+', [status(thm)], ['0', '0'])).
0.96/1.15	tff(zf_stmt_46, axiom,
0.96/1.15	  ((app_encode_app(knowheyan,place,place_of,b) != third) & 
0.96/1.15	   (app_encode_app(knowheyan,place,place_of,c) != third))).
0.96/1.15	tff('2', plain, app_encode_app(knowheyan, place, place_of, b) != third,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_46])).
0.96/1.15	tff('3', plain,
0.96/1.15	    (third != third
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, b) = fourth
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, b) = second
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, b) = first),
0.96/1.15	    inference('sup-', [status(thm)], ['0', '2'])).
0.96/1.15	tff('4', plain,
0.96/1.15	    (app_encode_app(knowheyan, place, place_of, b) = first
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, b) = second
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, b) = fourth),
0.96/1.15	    inference('simplify', [status(thm)], ['3'])).
0.96/1.15	tff(zf_stmt_45, axiom,
0.96/1.15	  ((app_encode_app(knowheyan,place,place_of,b) != fourth) & 
0.96/1.15	   (![X:knowheyan]:
0.96/1.15	      ((app_encode_app(knowheyan,entry,entry_of,X) = laser_etching) =>
0.96/1.15	       (app_encode_app(knowheyan,place,place_of,X) != fourth))))).
0.96/1.15	tff('5', plain, app_encode_app(knowheyan, place, place_of, b) != fourth,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_45])).
0.96/1.15	tff('6', plain,
0.96/1.15	    (app_encode_app(knowheyan, place, place_of, b) = first
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, b) = second),
0.96/1.15	    inference('simplify_reflect-', [status(thm)], ['4', '5'])).
0.96/1.15	tff(zf_stmt_41, axiom,
0.96/1.15	  (![X:knowheyan,Y:knowheyan]:
0.96/1.15	     ((X != Y) =>
0.96/1.15	      (app_encode_app(knowheyan,place,place_of,X) !=
0.96/1.15	       app_encode_app(knowheyan,place,place_of,Y))))).
0.96/1.15	tff('7', plain,
0.96/1.15	    ![X5 : knowheyan, X6 : knowheyan]:
0.96/1.15	      (app_encode_app(knowheyan, place, place_of, X6)
0.96/1.15	        != app_encode_app(knowheyan, place, place_of, X5)
0.96/1.15	       | X6 = X5),
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_41])).
0.96/1.15	tff('8', plain,
0.96/1.15	    ![X0 : knowheyan]:
0.96/1.15	      (app_encode_app(knowheyan, place, place_of, X0) != second
0.96/1.15	       | app_encode_app(knowheyan, place, place_of, b) = first
0.96/1.15	       | X0 = b),
0.96/1.15	    inference('sup-', [status(thm)], ['6', '7'])).
0.96/1.15	tff('9', plain,
0.96/1.15	    ![X0 : place, X1 : place]:
0.96/1.15	      (X1 = X0
0.96/1.15	       | X0 = fourth
0.96/1.15	       | X0 = third
0.96/1.15	       | X0 = second
0.96/1.15	       | X1 = fourth
0.96/1.15	       | X1 = third
0.96/1.15	       | X1 = second),
0.96/1.15	    inference('sup+', [status(thm)], ['0', '0'])).
0.96/1.15	tff('10', plain, app_encode_app(knowheyan, place, place_of, c) != third,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_46])).
0.96/1.15	tff('11', plain,
0.96/1.15	    (third != third
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, c) = second
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first),
0.96/1.15	    inference('sup-', [status(thm)], ['0', '10'])).
0.96/1.15	tff('12', plain,
0.96/1.15	    (app_encode_app(knowheyan, place, place_of, c) = first
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, c) = second
0.96/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
0.96/1.15	    inference('simplify', [status(thm)], ['11'])).
0.96/1.15	tff(zf_stmt_38, axiom,
0.96/1.15	  (![X:entry]:
0.96/1.15	     ((X = collage_painting) | (X = holography) | (X = laser_etching) | 
0.96/1.15	      (X = reconstituted_materials_sculpture)))).
0.96/1.15	tff('13', plain,
0.96/1.15	    ![X1 : entry]:
0.96/1.15	      (X1 = collage_painting
0.96/1.15	       | X1 = holography
0.96/1.15	       | X1 = laser_etching
0.96/1.15	       | X1 = reconstituted_materials_sculpture),
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_38])).
0.96/1.15	tff('14', plain,
0.96/1.15	    ![X0 : entry, X1 : entry]:
0.96/1.15	      (X1 = X0
0.96/1.15	       | X0 = reconstituted_materials_sculpture
0.96/1.15	       | X0 = laser_etching
0.96/1.15	       | X0 = holography
0.96/1.15	       | X1 = reconstituted_materials_sculpture
0.96/1.15	       | X1 = laser_etching
0.96/1.15	       | X1 = holography),
0.96/1.15	    inference('sup+', [status(thm)], ['13', '13'])).
0.96/1.15	tff(zf_stmt_44, axiom,
0.96/1.15	  (![X:knowheyan]:
0.96/1.15	     ((app_encode_app(knowheyan,entry,entry_of,X) = collage_painting) =>
0.96/1.15	      ((X != a) & (X != c) & 
0.96/1.15	       (app_encode_app(knowheyan,place,place_of,X) != first) & 
0.96/1.15	       (app_encode_app(knowheyan,place,place_of,X) != second))))).
0.96/1.15	tff('15', plain,
0.96/1.15	    ![X8 : knowheyan]:
0.96/1.15	      (X8 != a
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X8) != collage_painting),
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_44])).
0.96/1.15	tff('16', plain,
0.96/1.15	    app_encode_app(knowheyan, entry, entry_of, a) != collage_painting,
0.96/1.15	    inference('simplify', [status(thm)], ['15'])).
0.96/1.15	tff('17', plain,
0.96/1.15	    ![X0 : entry]:
0.96/1.15	      (X0 != collage_painting
0.96/1.15	       | X0 = holography
0.96/1.15	       | X0 = laser_etching
0.96/1.15	       | X0 = reconstituted_materials_sculpture
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, a) = holography
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, a)
0.96/1.15	          = reconstituted_materials_sculpture),
0.96/1.15	    inference('sup-', [status(thm)], ['14', '16'])).
0.96/1.15	tff('18', plain,
0.96/1.15	    (app_encode_app(knowheyan, entry, entry_of, a)
0.96/1.15	      = reconstituted_materials_sculpture
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, a) = holography
0.96/1.15	     | collage_painting = reconstituted_materials_sculpture
0.96/1.15	     | collage_painting = laser_etching
0.96/1.15	     | collage_painting = holography),
0.96/1.15	    inference('simplify', [status(thm)], ['17'])).
0.96/1.15	tff(zf_stmt_21, axiom, (collage_painting != holography)).
0.96/1.15	tff('19', plain, collage_painting != holography,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_21])).
0.96/1.15	tff(zf_stmt_22, axiom, (collage_painting != laser_etching)).
0.96/1.15	tff('20', plain, collage_painting != laser_etching,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_22])).
0.96/1.15	tff(zf_stmt_23, axiom,
0.96/1.15	  (collage_painting != reconstituted_materials_sculpture)).
0.96/1.15	tff('21', plain, collage_painting != reconstituted_materials_sculpture,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_23])).
0.96/1.15	tff(zf_stmt_42, axiom,
0.96/1.15	  ((app_encode_app(knowheyan,place,place_of,a) != first) & 
0.96/1.15	   (app_encode_app(knowheyan,entry,entry_of,a) != holography))).
0.96/1.15	tff('22', plain, app_encode_app(knowheyan, entry, entry_of, a) != holography,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_42])).
0.96/1.15	tff(zf_stmt_47, axiom,
0.96/1.15	  ((app_encode_app(knowheyan,entry,entry_of,b) != laser_etching) & 
0.96/1.15	   (![X:knowheyan]:
0.96/1.15	      ((app_encode_app(knowheyan,entry,entry_of,X) = laser_etching) =>
0.96/1.15	       ((X != a) & (app_encode_app(knowheyan,place,place_of,X) != second)))))).
0.96/1.15	tff('23', plain,
0.96/1.15	    ![X10 : knowheyan]:
0.96/1.15	      (X10 != a
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X10) != laser_etching),
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_47])).
0.96/1.15	tff('24', plain,
0.96/1.15	    app_encode_app(knowheyan, entry, entry_of, a) != laser_etching,
0.96/1.15	    inference('simplify', [status(thm)], ['23'])).
0.96/1.15	tff('25', plain,
0.96/1.15	    app_encode_app(knowheyan, entry, entry_of, a)
0.96/1.15	     = reconstituted_materials_sculpture,
0.96/1.15	    inference('simplify_reflect-', [status(thm)],
0.96/1.15	              ['18', '19', '20', '21', '22', '24'])).
0.96/1.15	tff(zf_stmt_40, axiom,
0.96/1.15	  (![X:knowheyan,Y:knowheyan]:
0.96/1.15	     ((X != Y) =>
0.96/1.15	      (app_encode_app(knowheyan,entry,entry_of,X) !=
0.96/1.15	       app_encode_app(knowheyan,entry,entry_of,Y))))).
0.96/1.15	tff('26', plain,
0.96/1.15	    ![X3 : knowheyan, X4 : knowheyan]:
0.96/1.15	      (app_encode_app(knowheyan, entry, entry_of, X4)
0.96/1.15	        != app_encode_app(knowheyan, entry, entry_of, X3)
0.96/1.15	       | X4 = X3),
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_40])).
0.96/1.15	tff('27', plain,
0.96/1.15	    ![X0 : knowheyan]:
0.96/1.15	      (app_encode_app(knowheyan, entry, entry_of, X0)
0.96/1.15	        != reconstituted_materials_sculpture
0.96/1.15	       | X0 = a),
0.96/1.15	    inference('sup-', [status(thm)], ['25', '26'])).
0.96/1.15	tff('28', plain,
0.96/1.15	    ![X0 : knowheyan]:
0.96/1.15	      (reconstituted_materials_sculpture != reconstituted_materials_sculpture
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
0.96/1.15	       | X0 = a),
0.96/1.15	    inference('sup-', [status(thm)], ['13', '27'])).
0.96/1.15	tff('29', plain,
0.96/1.15	    ![X0 : knowheyan]:
0.96/1.15	      (X0 = a
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching),
0.96/1.15	    inference('simplify', [status(thm)], ['28'])).
0.96/1.15	tff('30', plain,
0.96/1.15	    ![X0 : entry, X1 : entry]:
0.96/1.15	      (X1 = X0
0.96/1.15	       | X0 = reconstituted_materials_sculpture
0.96/1.15	       | X0 = holography
0.96/1.15	       | X0 = collage_painting
0.96/1.15	       | X1 = reconstituted_materials_sculpture
0.96/1.15	       | X1 = holography
0.96/1.15	       | X1 = collage_painting),
0.96/1.15	    inference('sup+', [status(thm)], ['13', '13'])).
0.96/1.15	tff('31', plain,
0.96/1.15	    app_encode_app(knowheyan, entry, entry_of, b) != laser_etching,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_47])).
0.96/1.15	tff('32', plain,
0.96/1.15	    ![X0 : entry]:
0.96/1.15	      (X0 != laser_etching
0.96/1.15	       | X0 = collage_painting
0.96/1.15	       | X0 = holography
0.96/1.15	       | X0 = reconstituted_materials_sculpture
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, b) = holography
0.96/1.15	       | app_encode_app(knowheyan, entry, entry_of, b)
0.96/1.15	          = reconstituted_materials_sculpture),
0.96/1.15	    inference('sup-', [status(thm)], ['30', '31'])).
0.96/1.15	tff('33', plain,
0.96/1.15	    (app_encode_app(knowheyan, entry, entry_of, b)
0.96/1.15	      = reconstituted_materials_sculpture
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = holography
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
0.96/1.15	     | laser_etching = reconstituted_materials_sculpture
0.96/1.15	     | laser_etching = holography
0.96/1.15	     | laser_etching = collage_painting),
0.96/1.15	    inference('simplify', [status(thm)], ['32'])).
0.96/1.15	tff(zf_stmt_24, axiom, (holography != laser_etching)).
0.96/1.15	tff('34', plain, holography != laser_etching,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_24])).
0.96/1.15	tff(zf_stmt_26, axiom, (laser_etching != reconstituted_materials_sculpture)).
0.96/1.15	tff('35', plain, laser_etching != reconstituted_materials_sculpture,
0.96/1.15	    inference('cnf', [status(esa)], [zf_stmt_26])).
0.96/1.15	tff('36', plain,
0.96/1.15	    (app_encode_app(knowheyan, entry, entry_of, b)
0.96/1.15	      = reconstituted_materials_sculpture
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = holography
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
0.96/1.15	    inference('simplify_reflect-', [status(thm)], ['33', '20', '34', '35'])).
0.96/1.15	tff('37', plain,
0.96/1.15	    (holography = reconstituted_materials_sculpture
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = laser_etching
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
0.96/1.15	     | b = a
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = holography),
0.96/1.15	    inference('sup+', [status(thm)], ['29', '36'])).
0.96/1.15	tff('38', plain,
0.96/1.15	    (app_encode_app(knowheyan, entry, entry_of, b) = holography
0.96/1.15	     | b = a
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
0.96/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = laser_etching
0.96/1.15	     | holography = reconstituted_materials_sculpture),
0.98/1.15	    inference('simplify', [status(thm)], ['37'])).
0.98/1.15	tff(zf_stmt_25, axiom, (holography != reconstituted_materials_sculpture)).
0.98/1.15	tff('39', plain, holography != reconstituted_materials_sculpture,
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_25])).
0.98/1.15	tff(zf_stmt_11, axiom, (a != b)).
0.98/1.15	tff('40', plain, a != b, inference('cnf', [status(esa)], [zf_stmt_11])).
0.98/1.15	tff('41', plain,
0.98/1.15	    (app_encode_app(knowheyan, entry, entry_of, b) = holography
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['38', '39', '31', '40'])).
0.98/1.15	tff('42', plain,
0.98/1.15	    ![X8 : knowheyan]:
0.98/1.15	      (X8 != c
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X8) != collage_painting),
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_44])).
0.98/1.15	tff('43', plain,
0.98/1.15	    app_encode_app(knowheyan, entry, entry_of, c) != collage_painting,
0.98/1.15	    inference('simplify', [status(thm)], ['42'])).
0.98/1.15	tff('44', plain,
0.98/1.15	    ![X0 : entry]:
0.98/1.15	      (X0 != collage_painting
0.98/1.15	       | X0 = holography
0.98/1.15	       | X0 = laser_etching
0.98/1.15	       | X0 = reconstituted_materials_sculpture
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, c) = holography
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, c)
0.98/1.15	          = reconstituted_materials_sculpture),
0.98/1.15	    inference('sup-', [status(thm)], ['14', '43'])).
0.98/1.15	tff('45', plain,
0.98/1.15	    (app_encode_app(knowheyan, entry, entry_of, c)
0.98/1.15	      = reconstituted_materials_sculpture
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = holography
0.98/1.15	     | collage_painting = reconstituted_materials_sculpture
0.98/1.15	     | collage_painting = laser_etching
0.98/1.15	     | collage_painting = holography),
0.98/1.15	    inference('simplify', [status(thm)], ['44'])).
0.98/1.15	tff('46', plain,
0.98/1.15	    (app_encode_app(knowheyan, entry, entry_of, c)
0.98/1.15	      = reconstituted_materials_sculpture
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['45', '19', '20', '21'])).
0.98/1.15	tff('47', plain,
0.98/1.15	    (reconstituted_materials_sculpture != reconstituted_materials_sculpture
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = holography
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	     | c = a),
0.98/1.15	    inference('sup-', [status(thm)], ['46', '27'])).
0.98/1.15	tff('48', plain,
0.98/1.15	    (c = a
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
0.98/1.15	    inference('simplify', [status(thm)], ['47'])).
0.98/1.15	tff(zf_stmt_12, axiom, (a != c)).
0.98/1.15	tff('49', plain, a != c, inference('cnf', [status(esa)], [zf_stmt_12])).
0.98/1.15	tff('50', plain,
0.98/1.15	    (app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = holography),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['48', '49'])).
0.98/1.15	tff('51', plain,
0.98/1.15	    ![X0 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, entry, entry_of, X0) != holography
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	       | X0 = c),
0.98/1.15	    inference('sup-', [status(thm)], ['50', '26'])).
0.98/1.15	tff('52', plain,
0.98/1.15	    (holography != holography
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
0.98/1.15	     | b = c
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, c) = laser_etching),
0.98/1.15	    inference('sup-', [status(thm)], ['41', '51'])).
0.98/1.15	tff('53', plain,
0.98/1.15	    (app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	     | b = c
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
0.98/1.15	    inference('simplify', [status(thm)], ['52'])).
0.98/1.15	tff(zf_stmt_14, axiom, (b != c)).
0.98/1.15	tff('54', plain, b != c, inference('cnf', [status(esa)], [zf_stmt_14])).
0.98/1.15	tff('55', plain,
0.98/1.15	    (app_encode_app(knowheyan, entry, entry_of, c) = laser_etching
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['53', '54'])).
0.98/1.15	tff('56', plain,
0.98/1.15	    ![X10 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, place, place_of, X10) != second
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X10) != laser_etching),
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_47])).
0.98/1.15	tff('57', plain,
0.98/1.15	    (laser_etching != laser_etching
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) != second),
0.98/1.15	    inference('sup-', [status(thm)], ['55', '56'])).
0.98/1.15	tff('58', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, c) != second
0.98/1.15	     | app_encode_app(knowheyan, entry, entry_of, b) = collage_painting),
0.98/1.15	    inference('simplify', [status(thm)], ['57'])).
0.98/1.15	tff('59', plain,
0.98/1.15	    ![X8 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, place, place_of, X8) != first
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X8) != collage_painting),
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_44])).
0.98/1.15	tff('60', plain,
0.98/1.15	    (collage_painting != collage_painting
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) != second
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, b) != first),
0.98/1.15	    inference('sup-', [status(thm)], ['58', '59'])).
0.98/1.15	tff('61', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) != first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) != second),
0.98/1.15	    inference('simplify', [status(thm)], ['60'])).
0.98/1.15	tff('62', plain,
0.98/1.15	    (second != second
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, b) != first),
0.98/1.15	    inference('sup-', [status(thm)], ['12', '61'])).
0.98/1.15	tff('63', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) != first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
0.98/1.15	    inference('simplify', [status(thm)], ['62'])).
0.98/1.15	tff(zf_stmt_43, axiom,
0.98/1.15	  (![X:knowheyan]:
0.98/1.15	     ((app_encode_app(knowheyan,place,place_of,X) = fourth) =>
0.98/1.15	      ((app_encode_app(knowheyan,entry,entry_of,X) !=
0.98/1.15	        reconstituted_materials_sculpture) & 
0.98/1.15	       (app_encode_app(knowheyan,entry,entry_of,X) != holography))))).
0.98/1.15	tff('64', plain,
0.98/1.15	    ![X7 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, entry, entry_of, X7)
0.98/1.15	        != reconstituted_materials_sculpture
0.98/1.15	       | app_encode_app(knowheyan, place, place_of, X7) != fourth),
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_43])).
0.98/1.15	tff('65', plain,
0.98/1.15	    ![X0 : knowheyan]:
0.98/1.15	      (reconstituted_materials_sculpture != reconstituted_materials_sculpture
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
0.98/1.15	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
0.98/1.15	    inference('sup-', [status(thm)], ['13', '64'])).
0.98/1.15	tff('66', plain,
0.98/1.15	    ![X0 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, place, place_of, X0) != fourth
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = holography
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching),
0.98/1.15	    inference('simplify', [status(thm)], ['65'])).
0.98/1.15	tff('67', plain,
0.98/1.15	    ![X7 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, entry, entry_of, X7) != holography
0.98/1.15	       | app_encode_app(knowheyan, place, place_of, X7) != fourth),
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_43])).
0.98/1.15	tff('68', plain,
0.98/1.15	    ![X0 : knowheyan]:
0.98/1.15	      (holography != holography
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
0.98/1.15	       | app_encode_app(knowheyan, place, place_of, X0) != fourth
0.98/1.15	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
0.98/1.15	    inference('sup-', [status(thm)], ['66', '67'])).
0.98/1.15	tff('69', plain,
0.98/1.15	    ![X0 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, place, place_of, X0) != fourth
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X0) = laser_etching),
0.98/1.15	    inference('simplify', [status(thm)], ['68'])).
0.98/1.15	tff('70', plain,
0.98/1.15	    ![X9 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, place, place_of, X9) != fourth
0.98/1.15	       | app_encode_app(knowheyan, entry, entry_of, X9) != laser_etching),
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_45])).
0.98/1.15	tff('71', plain,
0.98/1.15	    ![X0 : knowheyan]:
0.98/1.15	      (app_encode_app(knowheyan, entry, entry_of, X0) = collage_painting
0.98/1.15	       | app_encode_app(knowheyan, place, place_of, X0) != fourth),
0.98/1.15	    inference('clc', [status(thm)], ['69', '70'])).
0.98/1.15	tff('72', plain,
0.98/1.15	    (collage_painting != collage_painting
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) != fourth),
0.98/1.15	    inference('sup-', [status(thm)], ['71', '43'])).
0.98/1.15	tff('73', plain, app_encode_app(knowheyan, place, place_of, c) != fourth,
0.98/1.15	    inference('simplify', [status(thm)], ['72'])).
0.98/1.15	tff('74', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) != first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['63', '73'])).
0.98/1.15	tff('75', plain,
0.98/1.15	    (second != second
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | c = b
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, b) = first),
0.98/1.15	    inference('sup-', [status(thm)], ['12', '8'])).
0.98/1.15	tff('76', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) = first
0.98/1.15	     | c = b
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
0.98/1.15	    inference('simplify', [status(thm)], ['75'])).
0.98/1.15	tff('77', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['76', '54'])).
0.98/1.15	tff('78', plain,
0.98/1.15	    (third = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = second
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, b) = first),
0.98/1.15	    inference('sup+', [status(thm)], ['0', '77'])).
0.98/1.15	tff('79', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = second
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.98/1.15	     | third = first),
0.98/1.15	    inference('simplify', [status(thm)], ['78'])).
0.98/1.15	tff(zf_stmt_32, axiom, (first != third)).
0.98/1.15	tff('80', plain, first != third,
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_32])).
0.98/1.15	tff('81', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = second
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['79', '80'])).
0.98/1.15	tff('82', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, b) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = second),
0.98/1.15	    inference('simplify_reflect-', [status(thm)], ['81', '73'])).
0.98/1.15	tff('83', plain,
0.98/1.15	    (first = second
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, b) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, b) = first),
0.98/1.15	    inference('sup+', [status(thm)], ['77', '82'])).
0.98/1.15	tff('84', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, b) = first
0.98/1.15	     | app_encode_app(knowheyan, place, place_of, c) = fourth
0.98/1.15	     | first = second),
0.98/1.15	    inference('simplify', [status(thm)], ['83'])).
0.98/1.15	tff(zf_stmt_31, axiom, (first != second)).
0.98/1.15	tff('85', plain, first != second,
0.98/1.15	    inference('cnf', [status(esa)], [zf_stmt_31])).
0.98/1.15	tff('86', plain,
0.98/1.15	    (app_encode_app(knowheyan, place, place_of, c) = first
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) = first),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['84', '85', '73'])).
0.98/1.16	tff('87', plain, app_encode_app(knowheyan, place, place_of, c) = first,
0.98/1.16	    inference('clc', [status(thm)], ['74', '86'])).
0.98/1.16	tff('88', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (app_encode_app(knowheyan, place, place_of, X0) != first | X0 = c),
0.98/1.16	    inference('sup-', [status(thm)], ['87', '7'])).
0.98/1.16	tff('89', plain,
0.98/1.16	    ![X0 : place, X1 : knowheyan]:
0.98/1.16	      (X0 != first
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = third
0.98/1.16	       | X0 = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = second
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
0.98/1.16	       | X1 = c),
0.98/1.16	    inference('sup-', [status(thm)], ['9', '88'])).
0.98/1.16	tff('90', plain,
0.98/1.16	    ![X1 : knowheyan]:
0.98/1.16	      (X1 = c
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = second
0.98/1.16	       | first = fourth
0.98/1.16	       | first = third
0.98/1.16	       | first = second),
0.98/1.16	    inference('simplify', [status(thm)], ['89'])).
0.98/1.16	tff(zf_stmt_33, axiom, (first != fourth)).
0.98/1.16	tff('91', plain, first != fourth,
0.98/1.16	    inference('cnf', [status(esa)], [zf_stmt_33])).
0.98/1.16	tff('92', plain,
0.98/1.16	    ![X1 : knowheyan]:
0.98/1.16	      (X1 = c
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = second),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['90', '85', '80', '91'])).
0.98/1.16	tff('93', plain,
0.98/1.16	    (third != third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) = second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) = fourth
0.98/1.16	     | b = c),
0.98/1.16	    inference('sup-', [status(thm)], ['92', '2'])).
0.98/1.16	tff('94', plain,
0.98/1.16	    (b = c
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) = fourth
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) = second),
0.98/1.16	    inference('simplify', [status(thm)], ['93'])).
0.98/1.16	tff('95', plain, app_encode_app(knowheyan, place, place_of, b) = second,
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['94', '5', '54'])).
0.98/1.16	tff('96', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (app_encode_app(knowheyan, place, place_of, X0) != second
0.98/1.16	       | second = first
0.98/1.16	       | X0 = b),
0.98/1.16	    inference('demod', [status(thm)], ['8', '95'])).
0.98/1.16	tff('97', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (app_encode_app(knowheyan, place, place_of, X0) != second | X0 = b),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['96', '85'])).
0.98/1.16	tff('98', plain,
0.98/1.16	    ![X0 : place, X1 : knowheyan]:
0.98/1.16	      (X0 != second
0.98/1.16	       | X0 = first
0.98/1.16	       | X0 = third
0.98/1.16	       | X0 = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = first
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
0.98/1.16	       | X1 = b),
0.98/1.16	    inference('sup-', [status(thm)], ['1', '97'])).
0.98/1.16	tff('99', plain,
0.98/1.16	    ![X1 : knowheyan]:
0.98/1.16	      (X1 = b
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = first
0.98/1.16	       | second = fourth
0.98/1.16	       | second = third
0.98/1.16	       | second = first),
0.98/1.16	    inference('simplify', [status(thm)], ['98'])).
0.98/1.16	tff(zf_stmt_34, axiom, (second != third)).
0.98/1.16	tff('100', plain, second != third,
0.98/1.16	    inference('cnf', [status(esa)], [zf_stmt_34])).
0.98/1.16	tff(zf_stmt_35, axiom, (second != fourth)).
0.98/1.16	tff('101', plain, second != fourth,
0.98/1.16	    inference('cnf', [status(esa)], [zf_stmt_35])).
0.98/1.16	tff('102', plain,
0.98/1.16	    ![X1 : knowheyan]:
0.98/1.16	      (X1 = b
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X1) = first),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['99', '85', '100', '101'])).
0.98/1.16	tff('103', plain,
0.98/1.16	    ![X0 : place, X1 : place]:
0.98/1.16	      (X1 = X0
0.98/1.16	       | X0 = third
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = first
0.98/1.16	       | X1 = third
0.98/1.16	       | X1 = second
0.98/1.16	       | X1 = first),
0.98/1.16	    inference('sup+', [status(thm)], ['0', '0'])).
0.98/1.16	tff(zf_stmt_48, conjecture,
0.98/1.16	  ((app_encode_app(knowheyan,place,place_of,a) = third) & 
0.98/1.16	   (app_encode_app(knowheyan,place,place_of,b) = second) & 
0.98/1.16	   (app_encode_app(knowheyan,place,place_of,c) = first) & 
0.98/1.16	   (app_encode_app(knowheyan,place,place_of,d) = fourth))).
0.98/1.16	tff(zf_stmt_0, negated_conjecture,
0.98/1.16	  (~
0.98/1.16	    ((app_encode_app(knowheyan,place,place_of,a) = third) & 
0.98/1.16	     (app_encode_app(knowheyan,place,place_of,b) = second) & 
0.98/1.16	     (app_encode_app(knowheyan,place,place_of,c) = first) & 
0.98/1.16	     (app_encode_app(knowheyan,place,place_of,d) = fourth)))).
0.98/1.16	tff('104', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, a) != third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) != second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, c) != first
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
0.98/1.16	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.98/1.16	tff('105', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, a) != third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) != second
0.98/1.16	     | first != first
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
0.98/1.16	    inference('demod', [status(thm)], ['104', '87'])).
0.98/1.16	tff('106', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, d) != fourth
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, b) != second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, a) != third),
0.98/1.16	    inference('simplify', [status(thm)], ['105'])).
0.98/1.16	tff('107', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, d) != fourth
0.98/1.16	     | second != second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, a) != third),
0.98/1.16	    inference('demod', [status(thm)], ['106', '95'])).
0.98/1.16	tff('108', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, a) != third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) != fourth),
0.98/1.16	    inference('simplify', [status(thm)], ['107'])).
0.98/1.16	tff(zf_stmt_37, axiom,
0.98/1.16	  (![X:knowheyan]: ((X = a) | (X = b) | (X = c) | (X = d)))).
0.98/1.16	tff('109', plain, ![X0 : knowheyan]: (X0 = a | X0 = b | X0 = c | X0 = d),
0.98/1.16	    inference('cnf', [status(esa)], [zf_stmt_37])).
0.98/1.16	tff('110', plain, app_encode_app(knowheyan, place, place_of, a) != first,
0.98/1.16	    inference('cnf', [status(esa)], [zf_stmt_42])).
0.98/1.16	tff('111', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (X0 != first
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = third
0.98/1.16	       | X0 = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = second
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = fourth),
0.98/1.16	    inference('sup-', [status(thm)], ['9', '110'])).
0.98/1.16	tff('112', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, a) = fourth
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, a) = third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, a) = second
0.98/1.16	     | first = fourth
0.98/1.16	     | first = third
0.98/1.16	     | first = second),
0.98/1.16	    inference('simplify', [status(thm)], ['111'])).
0.98/1.16	tff('113', plain,
0.98/1.16	    (holography != holography
0.98/1.16	     | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching
0.98/1.16	     | app_encode_app(knowheyan, entry, entry_of, a) = collage_painting
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, a) != fourth),
0.98/1.16	    inference('sup-', [status(thm)], ['66', '22'])).
0.98/1.16	tff('114', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, a) != fourth
0.98/1.16	     | app_encode_app(knowheyan, entry, entry_of, a) = collage_painting
0.98/1.16	     | app_encode_app(knowheyan, entry, entry_of, a) = laser_etching),
0.98/1.16	    inference('simplify', [status(thm)], ['113'])).
0.98/1.16	tff('115', plain, app_encode_app(knowheyan, place, place_of, a) != fourth,
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['114', '24', '16'])).
0.98/1.16	tff('116', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, a) = third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, a) = second),
0.98/1.16	    inference('simplify_reflect-', [status(thm)],
0.98/1.16	              ['112', '85', '80', '91', '115'])).
0.98/1.16	tff('117', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (app_encode_app(knowheyan, place, place_of, X0) = third
0.98/1.16	       | X0 = d
0.98/1.16	       | X0 = c
0.98/1.16	       | X0 = b
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = second),
0.98/1.16	    inference('sup+', [status(thm)], ['109', '116'])).
0.98/1.16	tff('118', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (third = second
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = first
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = fourth
0.98/1.16	       | a = b
0.98/1.16	       | X0 = b
0.98/1.16	       | X0 = c
0.98/1.16	       | X0 = d
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X0) = third),
0.98/1.16	    inference('sup+', [status(thm)], ['102', '117'])).
0.98/1.16	tff('119', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (X0 = b
0.98/1.16	       | X0 = c
0.98/1.16	       | X0 = d
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, X0) = third),
0.98/1.16	    inference('simplify_reflect-', [status(thm)],
0.98/1.16	              ['118', '40', '115', '110', '100'])).
0.98/1.16	tff('120', plain,
0.98/1.16	    ![X0 : place, X1 : place]:
0.98/1.16	      (X1 = X0
0.98/1.16	       | X0 = fourth
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = first
0.98/1.16	       | X1 = fourth
0.98/1.16	       | X1 = second
0.98/1.16	       | X1 = first),
0.98/1.16	    inference('sup+', [status(thm)], ['0', '0'])).
0.98/1.16	tff('121', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (second = third
0.98/1.16	       | X0 = first
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = first
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = fourth
0.98/1.16	       | X0 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = second),
0.98/1.16	    inference('sup+', [status(thm)], ['120', '116'])).
0.98/1.16	tff('122', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (X0 = first
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = fourth
0.98/1.16	       | X0 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = second),
0.98/1.16	    inference('simplify_reflect-', [status(thm)],
0.98/1.16	              ['121', '115', '110', '100'])).
0.98/1.16	tff('123', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (third = second
0.98/1.16	       | a = d
0.98/1.16	       | a = c
0.98/1.16	       | a = b
0.98/1.16	       | X0 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | X0 = fourth
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = first),
0.98/1.16	    inference('sup+', [status(thm)], ['119', '122'])).
0.98/1.16	tff(zf_stmt_13, axiom, (a != d)).
0.98/1.16	tff('124', plain, a != d, inference('cnf', [status(esa)], [zf_stmt_13])).
0.98/1.16	tff('125', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (X0 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | X0 = fourth
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = first),
0.98/1.16	    inference('simplify_reflect-', [status(thm)],
0.98/1.16	              ['123', '40', '49', '124', '100'])).
0.98/1.16	tff('126', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (second != app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | X0 = first
0.98/1.16	       | X0 = fourth
0.98/1.16	       | X0 = app_encode_app(knowheyan, place, place_of, a)),
0.98/1.16	    inference('eq_fact', [status(thm)], ['125'])).
0.98/1.16	tff('127', plain,
0.98/1.16	    ![X0 : place, X1 : place]:
0.98/1.16	      (second != X0
0.98/1.16	       | X0 = first
0.98/1.16	       | X0 = third
0.98/1.16	       | X0 = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = first
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = fourth
0.98/1.16	       | X1 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | X1 = fourth
0.98/1.16	       | X1 = first),
0.98/1.16	    inference('sup-', [status(thm)], ['1', '126'])).
0.98/1.16	tff('128', plain,
0.98/1.16	    ![X1 : place]:
0.98/1.16	      (X1 = first
0.98/1.16	       | X1 = fourth
0.98/1.16	       | X1 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = fourth
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = first
0.98/1.16	       | second = fourth
0.98/1.16	       | second = third
0.98/1.16	       | second = first),
0.98/1.16	    inference('simplify', [status(thm)], ['127'])).
0.98/1.16	tff('129', plain,
0.98/1.16	    ![X1 : place]:
0.98/1.16	      (X1 = first
0.98/1.16	       | X1 = fourth
0.98/1.16	       | X1 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = third),
0.98/1.16	    inference('simplify_reflect-', [status(thm)],
0.98/1.16	              ['128', '85', '100', '101', '110', '115'])).
0.98/1.16	tff('130', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (third != X0
0.98/1.16	       | X0 = app_encode_app(knowheyan, place, place_of, a)
0.98/1.16	       | X0 = fourth
0.98/1.16	       | X0 = first),
0.98/1.16	    inference('eq_fact', [status(thm)], ['129'])).
0.98/1.16	tff('131', plain,
0.98/1.16	    (third = first
0.98/1.16	     | third = fourth
0.98/1.16	     | third = app_encode_app(knowheyan, place, place_of, a)),
0.98/1.16	    inference('simplify', [status(thm)], ['130'])).
0.98/1.16	tff(zf_stmt_36, axiom, (third != fourth)).
0.98/1.16	tff('132', plain, third != fourth,
0.98/1.16	    inference('cnf', [status(esa)], [zf_stmt_36])).
0.98/1.16	tff('133', plain, third = app_encode_app(knowheyan, place, place_of, a),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['131', '132', '80'])).
0.98/1.16	tff('134', plain,
0.98/1.16	    (third != third | app_encode_app(knowheyan, place, place_of, d) != fourth),
0.98/1.16	    inference('demod', [status(thm)], ['108', '133'])).
0.98/1.16	tff('135', plain, app_encode_app(knowheyan, place, place_of, d) != fourth,
0.98/1.16	    inference('simplify', [status(thm)], ['134'])).
0.98/1.16	tff('136', plain,
0.98/1.16	    ![X0 : place]:
0.98/1.16	      (X0 != fourth
0.98/1.16	       | X0 = first
0.98/1.16	       | X0 = second
0.98/1.16	       | X0 = third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, d) = first
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, d) = second
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, d) = third),
0.98/1.16	    inference('sup-', [status(thm)], ['103', '135'])).
0.98/1.16	tff('137', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, d) = third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first
0.98/1.16	     | fourth = third
0.98/1.16	     | fourth = second
0.98/1.16	     | fourth = first),
0.98/1.16	    inference('simplify', [status(thm)], ['136'])).
0.98/1.16	tff('138', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, d) = third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['137', '91', '101', '132'])).
0.98/1.16	tff('139', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (app_encode_app(knowheyan, place, place_of, X0) != third
0.98/1.16	       | app_encode_app(knowheyan, place, place_of, a) = second
0.98/1.16	       | X0 = a),
0.98/1.16	    inference('sup-', [status(thm)], ['116', '7'])).
0.98/1.16	tff('140', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (app_encode_app(knowheyan, place, place_of, X0) != third
0.98/1.16	       | third = second
0.98/1.16	       | X0 = a),
0.98/1.16	    inference('demod', [status(thm)], ['139', '133'])).
0.98/1.16	tff('141', plain,
0.98/1.16	    ![X0 : knowheyan]:
0.98/1.16	      (app_encode_app(knowheyan, place, place_of, X0) != third | X0 = a),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['140', '100'])).
0.98/1.16	tff('142', plain,
0.98/1.16	    (third != third
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = second
0.98/1.16	     | d = a),
0.98/1.16	    inference('sup-', [status(thm)], ['138', '141'])).
0.98/1.16	tff('143', plain,
0.98/1.16	    (d = a
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first),
0.98/1.16	    inference('simplify', [status(thm)], ['142'])).
0.98/1.16	tff('144', plain,
0.98/1.16	    (app_encode_app(knowheyan, place, place_of, d) = second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first),
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['143', '124'])).
0.98/1.16	tff('145', plain,
0.98/1.16	    (third = second
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = fourth
0.98/1.16	     | d = b
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first),
0.98/1.16	    inference('sup+', [status(thm)], ['102', '144'])).
0.98/1.16	tff('146', plain,
0.98/1.16	    (d = b
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = fourth
0.98/1.16	     | app_encode_app(knowheyan, place, place_of, d) = first
0.98/1.16	     | third = second),
0.98/1.16	    inference('simplify', [status(thm)], ['145'])).
0.98/1.16	tff(zf_stmt_15, axiom, (b != d)).
0.98/1.16	tff('147', plain, b != d, inference('cnf', [status(esa)], [zf_stmt_15])).
0.98/1.16	tff('148', plain, app_encode_app(knowheyan, place, place_of, d) = first,
0.98/1.16	    inference('simplify_reflect-', [status(thm)],
0.98/1.16	              ['146', '100', '135', '147'])).
0.98/1.16	tff('149', plain, (first != first | d = c),
0.98/1.16	    inference('sup-', [status(thm)], ['148', '88'])).
0.98/1.16	tff('150', plain, d = c, inference('simplify', [status(thm)], ['149'])).
0.98/1.16	tff(zf_stmt_16, axiom, (c != d)).
0.98/1.16	tff('151', plain, c != d, inference('cnf', [status(esa)], [zf_stmt_16])).
0.98/1.16	tff('152', plain, $false,
0.98/1.16	    inference('simplify_reflect-', [status(thm)], ['150', '151'])).
0.98/1.16	
0.98/1.16	% SZS output end Refutation
0.98/1.16	EOF
