0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
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	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n172.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 13:31:08 CST 2018
0.60/0.84	% done 933 iterations in 0.636s
0.60/0.84	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.60/0.84	% SZS output start Refutation
0.60/0.84	tff(only_places, axiom,
0.60/0.84	  (![X:place]: ((X = fourth) | (X = third) | (X = second) | (X = first)))).
0.60/0.84	tff('0', plain,
0.60/0.84	    ![X2 : place]: (X2 = fourth | X2 = third | X2 = second | X2 = first),
0.60/0.84	    inference('cnf', [status(esa)], [only_places])).
0.60/0.84	tff('1', plain,
0.60/0.84	    ![X0 : place, X1 : place]:
0.60/0.84	      (X1 = X0
0.60/0.84	       | X0 = first
0.60/0.84	       | X0 = second
0.60/0.84	       | X0 = third
0.60/0.84	       | X1 = first
0.60/0.84	       | X1 = second
0.60/0.84	       | X1 = third),
0.60/0.84	    inference('sup+', [status(thm)], ['0', '0'])).
0.60/0.84	tff(places, conjecture,
0.60/0.84	  ((place_of(d) = fourth) & (place_of(c) = first) & (place_of(b) = second) & 
0.60/0.84	   (place_of(a) = third))).
0.60/0.84	tff(zf_stmt_0, negated_conjecture,
0.60/0.84	  (~
0.60/0.84	    ((place_of(d) = fourth) & (place_of(c) = first) & 
0.60/0.84	     (place_of(b) = second) & (place_of(a) = third)))).
0.60/0.84	tff('2', plain,
0.60/0.84	    (place_of(d) != fourth
0.60/0.84	     | place_of(c) != first
0.60/0.84	     | place_of(b) != second
0.60/0.84	     | place_of(a) != third),
0.60/0.84	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.60/0.84	tff(only_knowheyans, axiom,
0.60/0.84	  (![X:knowheyan]: ((X = d) | (X = c) | (X = b) | (X = a)))).
0.60/0.84	tff('3', plain, ![X0 : knowheyan]: (X0 = d | X0 = c | X0 = b | X0 = a),
0.60/0.84	    inference('cnf', [status(esa)], [only_knowheyans])).
0.60/0.84	tff('4', plain,
0.60/0.84	    ![X0 : knowheyan, X1 : knowheyan]:
0.60/0.84	      (X1 = X0 | X0 = a | X0 = b | X0 = c | X1 = a | X1 = b | X1 = c),
0.60/0.84	    inference('sup+', [status(thm)], ['3', '3'])).
0.60/0.84	tff(third_info, axiom, ((place_of(c) != third) & (place_of(b) != third))).
0.60/0.84	tff('5', plain, place_of(c) != third,
0.60/0.84	    inference('cnf', [status(esa)], [third_info])).
0.60/0.84	tff('6', plain,
0.60/0.84	    (third != third
0.60/0.84	     | place_of(c) = first
0.60/0.84	     | place_of(c) = second
0.60/0.84	     | place_of(c) = fourth),
0.60/0.84	    inference('sup-', [status(thm)], ['0', '5'])).
0.60/0.84	tff('7', plain,
0.60/0.84	    (place_of(c) = fourth | place_of(c) = second | place_of(c) = first),
0.60/0.84	    inference('simplify', [status(thm)], ['6'])).
0.60/0.84	tff('8', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(c) = second
0.60/0.84	       | X0 = c
0.60/0.84	       | X0 = b
0.60/0.84	       | X0 = a
0.60/0.84	       | c = b
0.60/0.84	       | c = a
0.60/0.84	       | X0 = c
0.60/0.84	       | place_of(c) = first
0.60/0.84	       | place_of(c) = fourth),
0.60/0.84	    inference('sup+', [status(thm)], ['4', '7'])).
0.60/0.84	tff('9', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(c) = fourth
0.60/0.84	       | place_of(c) = first
0.60/0.84	       | c = a
0.60/0.84	       | c = b
0.60/0.84	       | X0 = a
0.60/0.84	       | X0 = b
0.60/0.84	       | X0 = c
0.60/0.84	       | place_of(c) = second),
0.60/0.84	    inference('simplify', [status(thm)], ['8'])).
0.60/0.84	tff(b_not_c, axiom, (b != c)).
0.60/0.84	tff('10', plain, b != c, inference('cnf', [status(esa)], [b_not_c])).
0.60/0.84	tff(a_not_c, axiom, (a != c)).
0.60/0.84	tff('11', plain, a != c, inference('cnf', [status(esa)], [a_not_c])).
0.60/0.84	tff(only_entries, axiom,
0.60/0.84	  (![X:entry]:
0.60/0.84	     ((X = reconstituted_materials_sculpture) | (X = laser_etching) | 
0.60/0.84	      (X = holography) | (X = collage_painting)))).
0.60/0.84	tff('12', plain,
0.60/0.84	    ![X1 : entry]:
0.60/0.84	      (X1 = reconstituted_materials_sculpture
0.60/0.84	       | X1 = laser_etching
0.60/0.84	       | X1 = holography
0.60/0.84	       | X1 = collage_painting),
0.60/0.84	    inference('cnf', [status(esa)], [only_entries])).
0.60/0.84	tff(fourth_info, axiom,
0.60/0.84	  (![X:knowheyan]:
0.60/0.84	     ((place_of(X) = fourth) =>
0.60/0.84	      ((entry_of(X) != holography) & 
0.60/0.84	       (entry_of(X) != reconstituted_materials_sculpture))))).
0.60/0.84	tff('13', plain,
0.60/0.84	    ![X7 : knowheyan]:
0.60/0.84	      (entry_of(X7) != reconstituted_materials_sculpture
0.60/0.84	       | place_of(X7) != fourth),
0.60/0.84	    inference('cnf', [status(esa)], [fourth_info])).
0.60/0.84	tff('14', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (reconstituted_materials_sculpture != reconstituted_materials_sculpture
0.60/0.84	       | entry_of(X0) = collage_painting
0.60/0.84	       | entry_of(X0) = holography
0.60/0.84	       | entry_of(X0) = laser_etching
0.60/0.84	       | place_of(X0) != fourth),
0.60/0.84	    inference('sup-', [status(thm)], ['12', '13'])).
0.60/0.84	tff('15', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(X0) != fourth
0.60/0.84	       | entry_of(X0) = laser_etching
0.60/0.84	       | entry_of(X0) = holography
0.60/0.84	       | entry_of(X0) = collage_painting),
0.60/0.84	    inference('simplify', [status(thm)], ['14'])).
0.60/0.84	tff('16', plain,
0.60/0.84	    ![X7 : knowheyan]: (entry_of(X7) != holography | place_of(X7) != fourth),
0.60/0.84	    inference('cnf', [status(esa)], [fourth_info])).
0.60/0.84	tff('17', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (holography != holography
0.60/0.84	       | entry_of(X0) = collage_painting
0.60/0.84	       | entry_of(X0) = laser_etching
0.60/0.84	       | place_of(X0) != fourth
0.60/0.84	       | place_of(X0) != fourth),
0.60/0.84	    inference('sup-', [status(thm)], ['15', '16'])).
0.60/0.84	tff('18', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(X0) != fourth
0.60/0.84	       | entry_of(X0) = laser_etching
0.60/0.84	       | entry_of(X0) = collage_painting),
0.60/0.84	    inference('simplify', [status(thm)], ['17'])).
0.60/0.84	tff(fourth_info2, axiom,
0.60/0.84	  ((![X:knowheyan]:
0.60/0.84	      ((entry_of(X) = laser_etching) => (place_of(X) != fourth))) & 
0.60/0.84	   (place_of(b) != fourth))).
0.60/0.84	tff('19', plain,
0.60/0.84	    ![X9 : knowheyan]:
0.60/0.84	      (place_of(X9) != fourth | entry_of(X9) != laser_etching),
0.60/0.84	    inference('cnf', [status(esa)], [fourth_info2])).
0.60/0.84	tff('20', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (entry_of(X0) = collage_painting | place_of(X0) != fourth),
0.60/0.84	    inference('clc', [status(thm)], ['18', '19'])).
0.60/0.84	tff(collage_info, axiom,
0.60/0.84	  (![X:knowheyan]:
0.60/0.84	     ((entry_of(X) = collage_painting) =>
0.60/0.84	      ((place_of(X) != second) & (place_of(X) != first) & (X != c) & (X != a))))).
0.60/0.84	tff('21', plain,
0.60/0.84	    ![X8 : knowheyan]: (X8 != c | entry_of(X8) != collage_painting),
0.60/0.84	    inference('cnf', [status(esa)], [collage_info])).
0.60/0.84	tff('22', plain, entry_of(c) != collage_painting,
0.60/0.84	    inference('simplify', [status(thm)], ['21'])).
0.60/0.84	tff('23', plain,
0.60/0.84	    (collage_painting != collage_painting | place_of(c) != fourth),
0.60/0.84	    inference('sup-', [status(thm)], ['20', '22'])).
0.60/0.84	tff('24', plain, place_of(c) != fourth,
0.60/0.84	    inference('simplify', [status(thm)], ['23'])).
0.60/0.84	tff('25', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(c) = first | X0 = a | X0 = b | X0 = c | place_of(c) = second),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['9', '10', '11', '24'])).
0.60/0.84	tff('26', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(X0) = second
0.60/0.84	       | place_of(c) = second
0.60/0.84	       | X0 = b
0.60/0.84	       | X0 = a
0.60/0.84	       | place_of(c) = first
0.60/0.84	       | place_of(c) = first
0.60/0.84	       | place_of(c) = fourth),
0.60/0.84	    inference('sup+', [status(thm)], ['25', '7'])).
0.60/0.84	tff('27', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(c) = fourth
0.60/0.84	       | place_of(c) = first
0.60/0.84	       | X0 = a
0.60/0.84	       | X0 = b
0.60/0.84	       | place_of(c) = second
0.60/0.84	       | place_of(X0) = second),
0.60/0.84	    inference('simplify', [status(thm)], ['26'])).
0.60/0.84	tff('28', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(c) = first
0.60/0.84	       | X0 = a
0.60/0.84	       | X0 = b
0.60/0.84	       | place_of(c) = second
0.60/0.84	       | place_of(X0) = second),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['27', '24'])).
0.60/0.84	tff('29', plain,
0.60/0.84	    (second != second
0.60/0.84	     | place_of(c) = second
0.60/0.84	     | c = b
0.60/0.84	     | c = a
0.60/0.84	     | place_of(c) = first),
0.60/0.84	    inference('eq_fact', [status(thm)], ['28'])).
0.60/0.84	tff('30', plain,
0.60/0.84	    (place_of(c) = first | c = a | c = b | place_of(c) = second),
0.60/0.84	    inference('simplify', [status(thm)], ['29'])).
0.60/0.84	tff('31', plain, (place_of(c) = first | place_of(c) = second),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['30', '10', '11'])).
0.60/0.84	tff('32', plain,
0.60/0.84	    ![X0 : entry, X1 : entry]:
0.60/0.84	      (X1 = X0
0.60/0.84	       | X0 = holography
0.60/0.84	       | X0 = laser_etching
0.60/0.84	       | X0 = reconstituted_materials_sculpture
0.60/0.84	       | X1 = holography
0.60/0.84	       | X1 = laser_etching
0.60/0.84	       | X1 = reconstituted_materials_sculpture),
0.60/0.84	    inference('sup+', [status(thm)], ['12', '12'])).
0.60/0.84	tff('33', plain,
0.60/0.84	    ![X0 : entry]:
0.60/0.84	      (X0 != collage_painting
0.60/0.84	       | X0 = reconstituted_materials_sculpture
0.60/0.84	       | X0 = laser_etching
0.60/0.84	       | X0 = holography
0.60/0.84	       | entry_of(c) = reconstituted_materials_sculpture
0.60/0.84	       | entry_of(c) = laser_etching
0.60/0.84	       | entry_of(c) = holography),
0.60/0.84	    inference('sup-', [status(thm)], ['32', '22'])).
0.60/0.84	tff('34', plain,
0.60/0.84	    (entry_of(c) = holography
0.60/0.84	     | entry_of(c) = laser_etching
0.60/0.84	     | entry_of(c) = reconstituted_materials_sculpture
0.60/0.84	     | collage_painting = holography
0.60/0.84	     | collage_painting = laser_etching
0.60/0.84	     | collage_painting = reconstituted_materials_sculpture),
0.60/0.84	    inference('simplify', [status(thm)], ['33'])).
0.60/0.84	tff(collage_painting_not_reconstituted_materials_sculpture, axiom,
0.60/0.84	  (collage_painting != reconstituted_materials_sculpture)).
0.60/0.84	tff('35', plain, collage_painting != reconstituted_materials_sculpture,
0.60/0.84	    inference('cnf', [status(esa)],
0.60/0.84	              [collage_painting_not_reconstituted_materials_sculpture])).
0.60/0.84	tff(collage_painting_not_laser_etching, axiom,
0.60/0.84	  (collage_painting != laser_etching)).
0.60/0.84	tff('36', plain, collage_painting != laser_etching,
0.60/0.84	    inference('cnf', [status(esa)], [collage_painting_not_laser_etching])).
0.60/0.84	tff(collage_painting_not_holography, axiom, (collage_painting != holography)).
0.60/0.84	tff('37', plain, collage_painting != holography,
0.60/0.84	    inference('cnf', [status(esa)], [collage_painting_not_holography])).
0.60/0.84	tff('38', plain,
0.60/0.84	    (entry_of(c) = holography
0.60/0.84	     | entry_of(c) = laser_etching
0.60/0.84	     | entry_of(c) = reconstituted_materials_sculpture),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['34', '35', '36', '37'])).
0.60/0.84	tff('39', plain,
0.60/0.84	    ![X0 : entry, X1 : entry]:
0.60/0.84	      (X1 = X0
0.60/0.84	       | X0 = collage_painting
0.60/0.84	       | X0 = holography
0.60/0.84	       | X0 = reconstituted_materials_sculpture
0.60/0.84	       | X1 = collage_painting
0.60/0.84	       | X1 = holography
0.60/0.84	       | X1 = reconstituted_materials_sculpture),
0.60/0.84	    inference('sup+', [status(thm)], ['12', '12'])).
0.60/0.84	tff(laser_etching_info, axiom,
0.60/0.84	  ((![X:knowheyan]:
0.60/0.84	      ((entry_of(X) = laser_etching) => ((place_of(X) != second) & (X != a)))) & 
0.60/0.84	   (entry_of(b) != laser_etching))).
0.60/0.84	tff('40', plain,
0.60/0.84	    ![X10 : knowheyan]: (X10 != a | entry_of(X10) != laser_etching),
0.60/0.84	    inference('cnf', [status(esa)], [laser_etching_info])).
0.60/0.84	tff('41', plain, entry_of(a) != laser_etching,
0.60/0.84	    inference('simplify', [status(thm)], ['40'])).
0.60/0.84	tff('42', plain,
0.60/0.84	    ![X0 : entry]:
0.60/0.84	      (X0 != laser_etching
0.60/0.84	       | X0 = reconstituted_materials_sculpture
0.60/0.84	       | X0 = holography
0.60/0.84	       | X0 = collage_painting
0.60/0.84	       | entry_of(a) = reconstituted_materials_sculpture
0.60/0.84	       | entry_of(a) = holography
0.60/0.84	       | entry_of(a) = collage_painting),
0.60/0.84	    inference('sup-', [status(thm)], ['39', '41'])).
0.60/0.84	tff('43', plain,
0.60/0.84	    (entry_of(a) = collage_painting
0.60/0.84	     | entry_of(a) = holography
0.60/0.84	     | entry_of(a) = reconstituted_materials_sculpture
0.60/0.84	     | laser_etching = collage_painting
0.60/0.84	     | laser_etching = holography
0.60/0.84	     | laser_etching = reconstituted_materials_sculpture),
0.60/0.84	    inference('simplify', [status(thm)], ['42'])).
0.60/0.84	tff(laser_etching_not_reconstituted_materials_sculpture, axiom,
0.60/0.84	  (laser_etching != reconstituted_materials_sculpture)).
0.60/0.84	tff('44', plain, laser_etching != reconstituted_materials_sculpture,
0.60/0.84	    inference('cnf', [status(esa)],
0.60/0.84	              [laser_etching_not_reconstituted_materials_sculpture])).
0.60/0.84	tff(holography_not_laser_etching, axiom, (holography != laser_etching)).
0.60/0.84	tff('45', plain, holography != laser_etching,
0.60/0.84	    inference('cnf', [status(esa)], [holography_not_laser_etching])).
0.60/0.84	tff(a_info, axiom, ((entry_of(a) != holography) & (place_of(a) != first))).
0.60/0.84	tff('46', plain, entry_of(a) != holography,
0.60/0.84	    inference('cnf', [status(esa)], [a_info])).
0.60/0.84	tff('47', plain,
0.60/0.84	    ![X8 : knowheyan]: (X8 != a | entry_of(X8) != collage_painting),
0.60/0.84	    inference('cnf', [status(esa)], [collage_info])).
0.60/0.84	tff('48', plain, entry_of(a) != collage_painting,
0.60/0.84	    inference('simplify', [status(thm)], ['47'])).
0.60/0.84	tff('49', plain, entry_of(a) = reconstituted_materials_sculpture,
0.60/0.84	    inference('simplify_reflect-', [status(thm)],
0.60/0.84	              ['43', '44', '45', '36', '46', '48'])).
0.60/0.84	tff(unique_entrys, axiom,
0.60/0.84	  (![X:knowheyan,Y:knowheyan]: ((X != Y) => (entry_of(X) != entry_of(Y))))).
0.60/0.84	tff('50', plain,
0.60/0.84	    ![X3 : knowheyan, X4 : knowheyan]:
0.60/0.84	      (entry_of(X4) != entry_of(X3) | X4 = X3),
0.60/0.84	    inference('cnf', [status(esa)], [unique_entrys])).
0.60/0.84	tff('51', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (entry_of(X0) != reconstituted_materials_sculpture | X0 = a),
0.60/0.84	    inference('sup-', [status(thm)], ['49', '50'])).
0.60/0.84	tff('52', plain,
0.60/0.84	    (reconstituted_materials_sculpture != reconstituted_materials_sculpture
0.60/0.84	     | entry_of(c) = laser_etching
0.60/0.84	     | entry_of(c) = holography
0.60/0.84	     | c = a),
0.60/0.84	    inference('sup-', [status(thm)], ['38', '51'])).
0.60/0.84	tff('53', plain,
0.60/0.84	    (c = a | entry_of(c) = holography | entry_of(c) = laser_etching),
0.60/0.84	    inference('simplify', [status(thm)], ['52'])).
0.60/0.84	tff('54', plain, (entry_of(c) = holography | entry_of(c) = laser_etching),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['53', '11'])).
0.60/0.84	tff('55', plain, entry_of(b) != laser_etching,
0.60/0.84	    inference('cnf', [status(esa)], [laser_etching_info])).
0.60/0.84	tff('56', plain,
0.60/0.84	    ![X0 : entry]:
0.60/0.84	      (X0 != laser_etching
0.60/0.84	       | X0 = reconstituted_materials_sculpture
0.60/0.84	       | X0 = holography
0.60/0.84	       | X0 = collage_painting
0.60/0.84	       | entry_of(b) = reconstituted_materials_sculpture
0.60/0.84	       | entry_of(b) = holography
0.60/0.84	       | entry_of(b) = collage_painting),
0.60/0.84	    inference('sup-', [status(thm)], ['39', '55'])).
0.60/0.84	tff('57', plain,
0.60/0.84	    (entry_of(b) = collage_painting
0.60/0.84	     | entry_of(b) = holography
0.60/0.84	     | entry_of(b) = reconstituted_materials_sculpture
0.60/0.84	     | laser_etching = collage_painting
0.60/0.84	     | laser_etching = holography
0.60/0.84	     | laser_etching = reconstituted_materials_sculpture),
0.60/0.84	    inference('simplify', [status(thm)], ['56'])).
0.60/0.84	tff('58', plain,
0.60/0.84	    (entry_of(b) = collage_painting
0.60/0.84	     | entry_of(b) = holography
0.60/0.84	     | entry_of(b) = reconstituted_materials_sculpture),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['57', '44', '45', '36'])).
0.60/0.84	tff('59', plain,
0.60/0.84	    (reconstituted_materials_sculpture != reconstituted_materials_sculpture
0.60/0.84	     | entry_of(b) = holography
0.60/0.84	     | entry_of(b) = collage_painting
0.60/0.84	     | b = a),
0.60/0.84	    inference('sup-', [status(thm)], ['58', '51'])).
0.60/0.84	tff('60', plain,
0.60/0.84	    (b = a | entry_of(b) = collage_painting | entry_of(b) = holography),
0.60/0.84	    inference('simplify', [status(thm)], ['59'])).
0.60/0.84	tff(a_not_b, axiom, (a != b)).
0.60/0.84	tff('61', plain, a != b, inference('cnf', [status(esa)], [a_not_b])).
0.60/0.84	tff('62', plain, (entry_of(b) = collage_painting | entry_of(b) = holography),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['60', '61'])).
0.60/0.84	tff('63', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (entry_of(X0) != holography | entry_of(b) = collage_painting | X0 = b),
0.60/0.84	    inference('sup-', [status(thm)], ['62', '50'])).
0.60/0.84	tff('64', plain,
0.60/0.84	    (holography != holography
0.60/0.84	     | entry_of(c) = laser_etching
0.60/0.84	     | c = b
0.60/0.84	     | entry_of(b) = collage_painting),
0.60/0.84	    inference('sup-', [status(thm)], ['54', '63'])).
0.60/0.84	tff('65', plain,
0.60/0.84	    (entry_of(b) = collage_painting | c = b | entry_of(c) = laser_etching),
0.60/0.84	    inference('simplify', [status(thm)], ['64'])).
0.60/0.84	tff('66', plain,
0.60/0.84	    (entry_of(b) = collage_painting | entry_of(c) = laser_etching),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['65', '10'])).
0.60/0.84	tff('67', plain,
0.60/0.84	    ![X10 : knowheyan]:
0.60/0.84	      (place_of(X10) != second | entry_of(X10) != laser_etching),
0.60/0.84	    inference('cnf', [status(esa)], [laser_etching_info])).
0.60/0.84	tff('68', plain,
0.60/0.84	    (laser_etching != laser_etching
0.60/0.84	     | entry_of(b) = collage_painting
0.60/0.84	     | place_of(c) != second),
0.60/0.84	    inference('sup-', [status(thm)], ['66', '67'])).
0.60/0.84	tff('69', plain, (place_of(c) != second | entry_of(b) = collage_painting),
0.60/0.84	    inference('simplify', [status(thm)], ['68'])).
0.60/0.84	tff('70', plain,
0.60/0.84	    ![X8 : knowheyan]:
0.60/0.84	      (place_of(X8) != first | entry_of(X8) != collage_painting),
0.60/0.84	    inference('cnf', [status(esa)], [collage_info])).
0.60/0.84	tff('71', plain,
0.60/0.84	    (collage_painting != collage_painting
0.60/0.84	     | place_of(c) != second
0.60/0.84	     | place_of(b) != first),
0.60/0.84	    inference('sup-', [status(thm)], ['69', '70'])).
0.60/0.84	tff('72', plain, (place_of(b) != first | place_of(c) != second),
0.60/0.84	    inference('simplify', [status(thm)], ['71'])).
0.60/0.84	tff('73', plain,
0.60/0.84	    (second != second | place_of(c) = first | place_of(b) != first),
0.60/0.84	    inference('sup-', [status(thm)], ['31', '72'])).
0.60/0.84	tff('74', plain, (place_of(b) != first | place_of(c) = first),
0.60/0.84	    inference('simplify', [status(thm)], ['73'])).
0.60/0.84	tff('75', plain, place_of(b) != third,
0.60/0.84	    inference('cnf', [status(esa)], [third_info])).
0.60/0.84	tff('76', plain,
0.60/0.84	    (third != third
0.60/0.84	     | place_of(b) = first
0.60/0.84	     | place_of(b) = second
0.60/0.84	     | place_of(b) = fourth),
0.60/0.84	    inference('sup-', [status(thm)], ['0', '75'])).
0.60/0.84	tff('77', plain,
0.60/0.84	    (place_of(b) = fourth | place_of(b) = second | place_of(b) = first),
0.60/0.84	    inference('simplify', [status(thm)], ['76'])).
0.60/0.84	tff('78', plain, place_of(b) != fourth,
0.60/0.84	    inference('cnf', [status(esa)], [fourth_info2])).
0.60/0.84	tff('79', plain, (place_of(b) = second | place_of(b) = first),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['77', '78'])).
0.60/0.84	tff(unique_places, axiom,
0.60/0.84	  (![X:knowheyan,Y:knowheyan]: ((X != Y) => (place_of(X) != place_of(Y))))).
0.60/0.84	tff('80', plain,
0.60/0.84	    ![X5 : knowheyan, X6 : knowheyan]:
0.60/0.84	      (place_of(X6) != place_of(X5) | X6 = X5),
0.60/0.84	    inference('cnf', [status(esa)], [unique_places])).
0.60/0.84	tff('81', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(X0) != second | place_of(b) = first | X0 = b),
0.60/0.84	    inference('sup-', [status(thm)], ['79', '80'])).
0.60/0.84	tff('82', plain,
0.60/0.84	    (second != second
0.60/0.84	     | place_of(c) = first
0.60/0.84	     | place_of(c) = fourth
0.60/0.84	     | c = b
0.60/0.84	     | place_of(b) = first),
0.60/0.84	    inference('sup-', [status(thm)], ['7', '81'])).
0.60/0.84	tff('83', plain,
0.60/0.84	    (place_of(b) = first | c = b | place_of(c) = fourth | place_of(c) = first),
0.60/0.84	    inference('simplify', [status(thm)], ['82'])).
0.60/0.84	tff('84', plain,
0.60/0.84	    (place_of(b) = first | place_of(c) = fourth | place_of(c) = first),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['83', '10'])).
0.60/0.84	tff('85', plain,
0.60/0.84	    (third = first
0.60/0.84	     | place_of(c) = first
0.60/0.84	     | place_of(c) = second
0.60/0.84	     | place_of(c) = fourth
0.60/0.84	     | place_of(c) = fourth
0.60/0.84	     | place_of(b) = first),
0.60/0.84	    inference('sup+', [status(thm)], ['0', '84'])).
0.60/0.84	tff('86', plain,
0.60/0.84	    (place_of(b) = first
0.60/0.84	     | place_of(c) = fourth
0.60/0.84	     | place_of(c) = second
0.60/0.84	     | place_of(c) = first
0.60/0.84	     | third = first),
0.60/0.84	    inference('simplify', [status(thm)], ['85'])).
0.60/0.84	tff(first_not_third, axiom, (first != third)).
0.60/0.84	tff('87', plain, first != third,
0.60/0.84	    inference('cnf', [status(esa)], [first_not_third])).
0.60/0.84	tff('88', plain,
0.60/0.84	    (place_of(b) = first
0.60/0.84	     | place_of(c) = fourth
0.60/0.84	     | place_of(c) = second
0.60/0.84	     | place_of(c) = first),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['86', '87'])).
0.60/0.84	tff('89', plain,
0.60/0.84	    (place_of(b) = first | place_of(c) = second | place_of(c) = first),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['88', '24'])).
0.60/0.84	tff('90', plain,
0.60/0.84	    (first = second
0.60/0.84	     | place_of(c) = fourth
0.60/0.84	     | place_of(b) = first
0.60/0.84	     | place_of(c) = first
0.60/0.84	     | place_of(b) = first),
0.60/0.84	    inference('sup+', [status(thm)], ['84', '89'])).
0.60/0.84	tff('91', plain,
0.60/0.84	    (place_of(c) = first
0.60/0.84	     | place_of(b) = first
0.60/0.84	     | place_of(c) = fourth
0.60/0.84	     | first = second),
0.60/0.84	    inference('simplify', [status(thm)], ['90'])).
0.60/0.84	tff(first_not_second, axiom, (first != second)).
0.60/0.84	tff('92', plain, first != second,
0.60/0.84	    inference('cnf', [status(esa)], [first_not_second])).
0.60/0.84	tff('93', plain, (place_of(c) = first | place_of(b) = first),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['91', '92', '24'])).
0.60/0.84	tff('94', plain, place_of(c) = first,
0.60/0.84	    inference('clc', [status(thm)], ['74', '93'])).
0.60/0.84	tff('95', plain,
0.60/0.84	    (place_of(d) != fourth
0.60/0.84	     | first != first
0.60/0.84	     | place_of(b) != second
0.60/0.84	     | place_of(a) != third),
0.60/0.84	    inference('demod', [status(thm)], ['2', '94'])).
0.60/0.84	tff('96', plain,
0.60/0.84	    (place_of(a) != third | place_of(b) != second | place_of(d) != fourth),
0.60/0.84	    inference('simplify', [status(thm)], ['95'])).
0.60/0.84	tff('97', plain,
0.60/0.84	    ![X0 : place, X1 : place]:
0.60/0.84	      (X1 = X0
0.60/0.84	       | X0 = second
0.60/0.84	       | X0 = third
0.60/0.84	       | X0 = fourth
0.60/0.84	       | X1 = second
0.60/0.84	       | X1 = third
0.60/0.84	       | X1 = fourth),
0.60/0.84	    inference('sup+', [status(thm)], ['0', '0'])).
0.60/0.84	tff('98', plain, ![X0 : knowheyan]: (place_of(X0) != first | X0 = c),
0.60/0.84	    inference('sup-', [status(thm)], ['94', '80'])).
0.60/0.84	tff('99', plain,
0.60/0.84	    ![X0 : place, X1 : knowheyan]:
0.60/0.84	      (X0 != first
0.60/0.84	       | X0 = fourth
0.60/0.84	       | X0 = third
0.60/0.84	       | X0 = second
0.60/0.84	       | place_of(X1) = fourth
0.60/0.84	       | place_of(X1) = third
0.60/0.84	       | place_of(X1) = second
0.60/0.84	       | X1 = c),
0.60/0.84	    inference('sup-', [status(thm)], ['97', '98'])).
0.60/0.84	tff('100', plain,
0.60/0.84	    ![X1 : knowheyan]:
0.60/0.84	      (X1 = c
0.60/0.84	       | place_of(X1) = second
0.60/0.84	       | place_of(X1) = third
0.60/0.84	       | place_of(X1) = fourth
0.60/0.84	       | first = second
0.60/0.84	       | first = third
0.60/0.84	       | first = fourth),
0.60/0.84	    inference('simplify', [status(thm)], ['99'])).
0.60/0.84	tff(first_not_fourth, axiom, (first != fourth)).
0.60/0.84	tff('101', plain, first != fourth,
0.60/0.84	    inference('cnf', [status(esa)], [first_not_fourth])).
0.60/0.84	tff('102', plain,
0.60/0.84	    ![X1 : knowheyan]:
0.60/0.84	      (X1 = c
0.60/0.84	       | place_of(X1) = second
0.60/0.84	       | place_of(X1) = third
0.60/0.84	       | place_of(X1) = fourth),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['100', '101', '87', '92'])).
0.60/0.84	tff('103', plain,
0.60/0.84	    (third != third | place_of(b) = fourth | place_of(b) = second | b = c),
0.60/0.84	    inference('sup-', [status(thm)], ['102', '75'])).
0.60/0.84	tff('104', plain, (b = c | place_of(b) = second | place_of(b) = fourth),
0.60/0.84	    inference('simplify', [status(thm)], ['103'])).
0.60/0.84	tff('105', plain, place_of(b) = second,
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['104', '78', '10'])).
0.60/0.84	tff('106', plain,
0.60/0.84	    (place_of(a) != third | second != second | place_of(d) != fourth),
0.60/0.84	    inference('demod', [status(thm)], ['96', '105'])).
0.60/0.84	tff('107', plain, (place_of(d) != fourth | place_of(a) != third),
0.60/0.84	    inference('simplify', [status(thm)], ['106'])).
0.60/0.84	tff('108', plain,
0.60/0.84	    ![X0 : place]:
0.60/0.84	      (X0 != fourth
0.60/0.84	       | X0 = third
0.60/0.84	       | X0 = second
0.60/0.84	       | X0 = first
0.60/0.84	       | place_of(d) = third
0.60/0.84	       | place_of(d) = second
0.60/0.84	       | place_of(d) = first
0.60/0.84	       | place_of(a) != third),
0.60/0.84	    inference('sup-', [status(thm)], ['1', '107'])).
0.60/0.84	tff('109', plain,
0.60/0.84	    (place_of(a) != third
0.60/0.84	     | place_of(d) = first
0.60/0.84	     | place_of(d) = second
0.60/0.84	     | place_of(d) = third
0.60/0.84	     | fourth = first
0.60/0.84	     | fourth = second
0.60/0.84	     | fourth = third),
0.60/0.84	    inference('simplify', [status(thm)], ['108'])).
0.60/0.84	tff(third_not_fourth, axiom, (third != fourth)).
0.60/0.84	tff('110', plain, third != fourth,
0.60/0.84	    inference('cnf', [status(esa)], [third_not_fourth])).
0.60/0.84	tff(second_not_fourth, axiom, (second != fourth)).
0.60/0.84	tff('111', plain, second != fourth,
0.60/0.84	    inference('cnf', [status(esa)], [second_not_fourth])).
0.60/0.84	tff('112', plain,
0.60/0.84	    (place_of(a) != third
0.60/0.84	     | place_of(d) = first
0.60/0.84	     | place_of(d) = second
0.60/0.84	     | place_of(d) = third),
0.60/0.84	    inference('simplify_reflect-', [status(thm)],
0.60/0.84	              ['109', '110', '111', '101'])).
0.60/0.84	tff('113', plain,
0.60/0.84	    (holography != holography
0.60/0.84	     | entry_of(a) = collage_painting
0.60/0.84	     | entry_of(a) = laser_etching
0.60/0.84	     | place_of(a) != fourth),
0.60/0.84	    inference('sup-', [status(thm)], ['15', '46'])).
0.60/0.84	tff('114', plain,
0.60/0.84	    (place_of(a) != fourth
0.60/0.84	     | entry_of(a) = laser_etching
0.60/0.84	     | entry_of(a) = collage_painting),
0.60/0.84	    inference('simplify', [status(thm)], ['113'])).
0.60/0.84	tff('115', plain, place_of(a) != fourth,
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['114', '48', '41'])).
0.60/0.84	tff('116', plain,
0.60/0.84	    ![X0 : place]:
0.60/0.84	      (X0 != fourth
0.60/0.84	       | X0 = third
0.60/0.84	       | X0 = second
0.60/0.84	       | X0 = first
0.60/0.84	       | place_of(a) = third
0.60/0.84	       | place_of(a) = second
0.60/0.84	       | place_of(a) = first),
0.60/0.84	    inference('sup-', [status(thm)], ['1', '115'])).
0.60/0.84	tff('117', plain,
0.60/0.84	    (place_of(a) = first
0.60/0.84	     | place_of(a) = second
0.60/0.84	     | place_of(a) = third
0.60/0.84	     | fourth = first
0.60/0.84	     | fourth = second
0.60/0.84	     | fourth = third),
0.60/0.84	    inference('simplify', [status(thm)], ['116'])).
0.60/0.84	tff('118', plain, place_of(a) != first,
0.60/0.84	    inference('cnf', [status(esa)], [a_info])).
0.60/0.84	tff('119', plain, (place_of(a) = second | place_of(a) = third),
0.60/0.84	    inference('simplify_reflect-', [status(thm)],
0.60/0.84	              ['117', '110', '111', '101', '118'])).
0.60/0.84	tff('120', plain,
0.60/0.84	    ![X0 : knowheyan]:
0.60/0.84	      (place_of(X0) != third | place_of(a) = second | X0 = a),
0.60/0.84	    inference('sup-', [status(thm)], ['119', '80'])).
0.60/0.84	tff('121', plain,
0.60/0.84	    (third != third
0.60/0.84	     | place_of(d) = second
0.60/0.84	     | place_of(d) = first
0.60/0.84	     | place_of(a) != third
0.60/0.84	     | d = a
0.60/0.84	     | place_of(a) = second),
0.60/0.84	    inference('sup-', [status(thm)], ['112', '120'])).
0.60/0.84	tff('122', plain,
0.60/0.84	    (place_of(a) = second
0.60/0.84	     | d = a
0.60/0.84	     | place_of(a) != third
0.60/0.84	     | place_of(d) = first
0.60/0.84	     | place_of(d) = second),
0.60/0.84	    inference('simplify', [status(thm)], ['121'])).
0.60/0.84	tff(a_not_d, axiom, (a != d)).
0.60/0.84	tff('123', plain, a != d, inference('cnf', [status(esa)], [a_not_d])).
0.60/0.84	tff('124', plain,
0.60/0.84	    (place_of(a) = second
0.60/0.84	     | place_of(a) != third
0.60/0.84	     | place_of(d) = first
0.60/0.84	     | place_of(d) = second),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['122', '123'])).
0.60/0.84	tff('125', plain,
0.60/0.84	    ![X0 : knowheyan]: (place_of(X0) != second | second = first | X0 = b),
0.60/0.84	    inference('demod', [status(thm)], ['81', '105'])).
0.60/0.84	tff('126', plain, ![X0 : knowheyan]: (place_of(X0) != second | X0 = b),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['125', '92'])).
0.60/0.84	tff('127', plain,
0.60/0.84	    (second != second
0.60/0.84	     | place_of(d) = first
0.60/0.84	     | place_of(a) != third
0.60/0.84	     | place_of(a) = second
0.60/0.84	     | d = b),
0.60/0.84	    inference('sup-', [status(thm)], ['124', '126'])).
0.60/0.84	tff('128', plain,
0.60/0.84	    (d = b
0.60/0.84	     | place_of(a) = second
0.60/0.84	     | place_of(a) != third
0.60/0.84	     | place_of(d) = first),
0.60/0.84	    inference('simplify', [status(thm)], ['127'])).
0.60/0.84	tff(b_not_d, axiom, (b != d)).
0.60/0.84	tff('129', plain, b != d, inference('cnf', [status(esa)], [b_not_d])).
0.60/0.84	tff('130', plain,
0.60/0.84	    (place_of(a) = second | place_of(a) != third | place_of(d) = first),
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['128', '129'])).
0.60/0.84	tff('131', plain, (place_of(d) = first | place_of(a) = second),
0.60/0.84	    inference('clc', [status(thm)], ['130', '119'])).
0.60/0.84	tff('132', plain, (first != first | place_of(a) = second | d = c),
0.60/0.84	    inference('sup-', [status(thm)], ['131', '98'])).
0.60/0.84	tff('133', plain, (d = c | place_of(a) = second),
0.60/0.84	    inference('simplify', [status(thm)], ['132'])).
0.60/0.84	tff(c_not_d, axiom, (c != d)).
0.60/0.84	tff('134', plain, c != d, inference('cnf', [status(esa)], [c_not_d])).
0.60/0.84	tff('135', plain, place_of(a) = second,
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['133', '134'])).
0.60/0.84	tff('136', plain, (second != second | a = b),
0.60/0.84	    inference('sup-', [status(thm)], ['135', '126'])).
0.60/0.84	tff('137', plain, a = b, inference('simplify', [status(thm)], ['136'])).
0.60/0.84	tff('138', plain, $false,
0.60/0.84	    inference('simplify_reflect-', [status(thm)], ['137', '61'])).
0.60/0.84	
0.60/0.84	% SZS output end Refutation
0.60/0.84	EOF
