TSTP Solution File: PUZ135_2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ135_2 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:54:17 EDT 2023
% Result : Theorem 8.01s 3.00s
% Output : CNFRefutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 34
% Syntax : Number of formulae : 192 ( 98 unt; 17 typ; 0 def)
% Number of atoms : 319 ( 302 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 240 ( 96 ~; 126 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-1 aty)
% Number of variables : 54 (; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > place_of > entry_of > third > second > reconstituted_materials_sculpture > laser_etching > holography > fourth > first > d > collage_painting > c > b > a
%Foreground sorts:
tff(entry,type,
entry: $tType ).
tff(place,type,
place: $tType ).
tff(knowheyan,type,
knowheyan: $tType ).
%Background operators:
%Foreground operators:
tff(holography,type,
holography: entry ).
tff(second,type,
second: place ).
tff(entry_of,type,
entry_of: knowheyan > entry ).
tff(reconstituted_materials_sculpture,type,
reconstituted_materials_sculpture: entry ).
tff(fourth,type,
fourth: place ).
tff(third,type,
third: place ).
tff(laser_etching,type,
laser_etching: entry ).
tff(first,type,
first: place ).
tff(d,type,
d: knowheyan ).
tff(collage_painting,type,
collage_painting: entry ).
tff(place_of,type,
place_of: knowheyan > place ).
tff(b,type,
b: knowheyan ).
tff(a,type,
a: knowheyan ).
tff(c,type,
c: knowheyan ).
tff(f_58,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
tff(f_54,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
tff(f_145,axiom,
! [X: knowheyan] :
( ( entry_of(X) = collage_painting )
=> ( ( X != a )
& ( X != c )
& ( place_of(X) != first )
& ( place_of(X) != second ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_info) ).
tff(f_50,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(f_123,axiom,
( ( place_of(a) != first )
& ( entry_of(a) != holography ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_info) ).
tff(f_98,axiom,
! [X: entry] :
( ( X = collage_painting )
| ( X = holography )
| ( X = laser_etching )
| ( X = reconstituted_materials_sculpture ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_entries) ).
tff(f_112,axiom,
! [X: knowheyan,Y: knowheyan] :
( ( X != Y )
=> ( entry_of(X) != entry_of(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_entrys) ).
tff(f_169,axiom,
( ( entry_of(b) != laser_etching )
& ! [X: knowheyan] :
( ( entry_of(X) = laser_etching )
=> ( ( X != a )
& ( place_of(X) != second ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_info) ).
tff(f_106,axiom,
! [X: place] :
( ( X = first )
| ( X = second )
| ( X = third )
| ( X = fourth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_places) ).
tff(f_158,axiom,
( ( place_of(b) != third )
& ( place_of(c) != third ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_info) ).
tff(f_52,axiom,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).
tff(f_56,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).
tff(f_48,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(f_153,axiom,
( ( place_of(b) != fourth )
& ! [X: knowheyan] :
( ( entry_of(X) = laser_etching )
=> ( place_of(X) != fourth ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info2) ).
tff(f_118,axiom,
! [X: knowheyan,Y: knowheyan] :
( ( X != Y )
=> ( place_of(X) != place_of(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_places) ).
tff(f_131,axiom,
! [X: knowheyan] :
( ( place_of(X) = fourth )
=> ( ( entry_of(X) != reconstituted_materials_sculpture )
& ( entry_of(X) != holography ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info) ).
tff(f_177,negated_conjecture,
~ ( ( place_of(a) = third )
& ( place_of(b) = second )
& ( place_of(c) = first )
& ( place_of(d) = fourth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',places) ).
tff(c_12,plain,
d != c,
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_8,plain,
c != b,
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_60,plain,
entry_of(c) != collage_painting,
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_4,plain,
c != a,
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_62,plain,
entry_of(a) != collage_painting,
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_48,plain,
entry_of(a) != holography,
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_40,plain,
! [X_2: entry] :
( ( reconstituted_materials_sculpture = X_2 )
| ( laser_etching = X_2 )
| ( holography = X_2 )
| ( collage_painting = X_2 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_2717,plain,
! [X_424: entry] :
( ( reconstituted_materials_sculpture = X_424 )
| ( laser_etching = X_424 )
| ( holography = X_424 )
| ( collage_painting = X_424 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_44,plain,
! [Y_5: knowheyan,X_4: knowheyan] :
( ( entry_of(Y_5) != entry_of(X_4) )
| ( Y_5 = X_4 ) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_4156,plain,
! [X_538: knowheyan,Y_539: knowheyan] :
( ( entry_of(X_538) != reconstituted_materials_sculpture )
| ( Y_539 = X_538 )
| ( entry_of(Y_539) = laser_etching )
| ( entry_of(Y_539) = holography )
| ( entry_of(Y_539) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_2717,c_44]) ).
tff(c_9128,plain,
! [Y_612: knowheyan,X_613: knowheyan] :
( ( Y_612 = X_613 )
| ( entry_of(Y_612) = laser_etching )
| ( entry_of(Y_612) = holography )
| ( entry_of(Y_612) = collage_painting )
| ( entry_of(X_613) = laser_etching )
| ( entry_of(X_613) = holography )
| ( entry_of(X_613) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_4156]) ).
tff(c_76,plain,
entry_of(a) != laser_etching,
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_9801,plain,
! [X_613: knowheyan] :
( ( a = X_613 )
| ( entry_of(a) = holography )
| ( entry_of(a) = collage_painting )
| ( entry_of(X_613) = laser_etching )
| ( entry_of(X_613) = holography )
| ( entry_of(X_613) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_9128,c_76]) ).
tff(c_9957,plain,
! [X_616: knowheyan] :
( ( a = X_616 )
| ( entry_of(X_616) = laser_etching )
| ( entry_of(X_616) = holography )
| ( entry_of(X_616) = collage_painting ) ),
inference(negUnitSimplification,[status(thm)],[c_62,c_48,c_9801]) ).
tff(c_2540,plain,
! [X_375: place] :
( ( fourth = X_375 )
| ( third = X_375 )
| ( second = X_375 )
| ( first = X_375 ) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_68,plain,
place_of(c) != third,
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_2623,plain,
( ( place_of(c) = fourth )
| ( place_of(c) = second )
| ( place_of(c) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_2540,c_68]) ).
tff(c_3004,plain,
place_of(c) = first,
inference(splitLeft,[status(thm)],[c_2623]) ).
tff(c_6,plain,
d != a,
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_10,plain,
d != b,
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1101,plain,
! [X_229: place] :
( ( fourth = X_229 )
| ( third = X_229 )
| ( second = X_229 )
| ( first = X_229 ) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_2,plain,
b != a,
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_244,plain,
! [X_74: place] :
( ( fourth = X_74 )
| ( third = X_74 )
| ( second = X_74 )
| ( first = X_74 ) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_313,plain,
( ( place_of(c) = fourth )
| ( place_of(c) = second )
| ( place_of(c) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_244,c_68]) ).
tff(c_431,plain,
place_of(c) = first,
inference(splitLeft,[status(thm)],[c_313]) ).
tff(c_66,plain,
place_of(b) != fourth,
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_70,plain,
place_of(b) != third,
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_289,plain,
( ( place_of(b) = fourth )
| ( place_of(b) = second )
| ( place_of(b) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_244,c_70]) ).
tff(c_316,plain,
( ( place_of(b) = second )
| ( place_of(b) = first ) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_289]) ).
tff(c_326,plain,
place_of(b) = first,
inference(splitLeft,[status(thm)],[c_316]) ).
tff(c_46,plain,
! [Y_7: knowheyan,X_6: knowheyan] :
( ( place_of(Y_7) != place_of(X_6) )
| ( Y_7 = X_6 ) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_332,plain,
! [X_6: knowheyan] :
( ( place_of(X_6) != first )
| ( b = X_6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_326,c_46]) ).
tff(c_439,plain,
c = b,
inference(superposition,[status(thm),theory(equality)],[c_431,c_332]) ).
tff(c_473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_439]) ).
tff(c_474,plain,
( ( place_of(c) = second )
| ( place_of(c) = fourth ) ),
inference(splitRight,[status(thm)],[c_313]) ).
tff(c_480,plain,
place_of(c) = fourth,
inference(splitLeft,[status(thm)],[c_474]) ).
tff(c_52,plain,
! [X_8: knowheyan] :
( ( entry_of(X_8) != holography )
| ( place_of(X_8) != fourth ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_523,plain,
entry_of(c) != holography,
inference(superposition,[status(thm),theory(equality)],[c_480,c_52]) ).
tff(c_64,plain,
! [X_10: knowheyan] :
( ( place_of(X_10) != fourth )
| ( entry_of(X_10) != laser_etching ) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_522,plain,
entry_of(c) != laser_etching,
inference(superposition,[status(thm),theory(equality)],[c_480,c_64]) ).
tff(c_54,plain,
! [X_8: knowheyan] :
( ( entry_of(X_8) != reconstituted_materials_sculpture )
| ( place_of(X_8) != fourth ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_521,plain,
entry_of(c) != reconstituted_materials_sculpture,
inference(superposition,[status(thm),theory(equality)],[c_480,c_54]) ).
tff(c_529,plain,
( ( entry_of(c) = laser_etching )
| ( entry_of(c) = holography )
| ( entry_of(c) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_521]) ).
tff(c_532,plain,
( ( entry_of(c) = laser_etching )
| ( entry_of(c) = holography ) ),
inference(negUnitSimplification,[status(thm)],[c_60,c_529]) ).
tff(c_563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_523,c_522,c_532]) ).
tff(c_564,plain,
place_of(c) = second,
inference(splitRight,[status(thm)],[c_474]) ).
tff(c_50,plain,
place_of(a) != first,
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_78,plain,
( ( place_of(d) != fourth )
| ( place_of(c) != first )
| ( place_of(b) != second )
| ( place_of(a) != third ) ),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_79,plain,
place_of(a) != third,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_292,plain,
( ( place_of(a) = fourth )
| ( place_of(a) = second )
| ( place_of(a) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_244,c_79]) ).
tff(c_319,plain,
( ( place_of(a) = fourth )
| ( place_of(a) = second ) ),
inference(negUnitSimplification,[status(thm)],[c_50,c_292]) ).
tff(c_376,plain,
place_of(a) = second,
inference(splitLeft,[status(thm)],[c_319]) ).
tff(c_385,plain,
! [X_6: knowheyan] :
( ( place_of(X_6) != second )
| ( a = X_6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_376,c_46]) ).
tff(c_576,plain,
c = a,
inference(superposition,[status(thm),theory(equality)],[c_564,c_385]) ).
tff(c_612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_576]) ).
tff(c_613,plain,
place_of(a) = fourth,
inference(splitRight,[status(thm)],[c_319]) ).
tff(c_656,plain,
entry_of(a) != reconstituted_materials_sculpture,
inference(superposition,[status(thm),theory(equality)],[c_613,c_54]) ).
tff(c_709,plain,
( ( entry_of(a) = laser_etching )
| ( entry_of(a) = holography )
| ( entry_of(a) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_656]) ).
tff(c_713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_48,c_76,c_709]) ).
tff(c_714,plain,
place_of(b) = second,
inference(splitRight,[status(thm)],[c_316]) ).
tff(c_716,plain,
place_of(a) = second,
inference(splitLeft,[status(thm)],[c_319]) ).
tff(c_796,plain,
! [X_167: knowheyan] :
( ( place_of(X_167) != second )
| ( a = X_167 ) ),
inference(superposition,[status(thm),theory(equality)],[c_716,c_46]) ).
tff(c_802,plain,
b = a,
inference(superposition,[status(thm),theory(equality)],[c_714,c_796]) ).
tff(c_811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_802]) ).
tff(c_812,plain,
place_of(a) = fourth,
inference(splitRight,[status(thm)],[c_319]) ).
tff(c_883,plain,
entry_of(a) != reconstituted_materials_sculpture,
inference(superposition,[status(thm),theory(equality)],[c_812,c_54]) ).
tff(c_893,plain,
( ( entry_of(a) = laser_etching )
| ( entry_of(a) = holography )
| ( entry_of(a) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_883]) ).
tff(c_897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_48,c_76,c_893]) ).
tff(c_899,plain,
place_of(a) = third,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_918,plain,
! [Y_178: knowheyan,X_179: knowheyan] :
( ( place_of(Y_178) != place_of(X_179) )
| ( Y_178 = X_179 ) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_921,plain,
! [X_179: knowheyan] :
( ( place_of(X_179) != third )
| ( a = X_179 ) ),
inference(superposition,[status(thm),theory(equality)],[c_899,c_918]) ).
tff(c_1916,plain,
! [X_334: knowheyan] :
( ( a = X_334 )
| ( place_of(X_334) = fourth )
| ( place_of(X_334) = second )
| ( place_of(X_334) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_1101,c_921]) ).
tff(c_1174,plain,
! [X_179: knowheyan] :
( ( a = X_179 )
| ( place_of(X_179) = fourth )
| ( place_of(X_179) = second )
| ( place_of(X_179) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_1101,c_921]) ).
tff(c_1176,plain,
( ( place_of(c) = fourth )
| ( place_of(c) = second )
| ( place_of(c) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_1101,c_68]) ).
tff(c_1260,plain,
place_of(c) = first,
inference(splitLeft,[status(thm)],[c_1176]) ).
tff(c_1149,plain,
( ( place_of(b) = fourth )
| ( place_of(b) = second )
| ( place_of(b) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_1101,c_70]) ).
tff(c_1180,plain,
( ( place_of(b) = second )
| ( place_of(b) = first ) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_1149]) ).
tff(c_1190,plain,
place_of(b) = first,
inference(splitLeft,[status(thm)],[c_1180]) ).
tff(c_1211,plain,
! [X_6: knowheyan] :
( ( place_of(X_6) != first )
| ( b = X_6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1190,c_46]) ).
tff(c_1268,plain,
c = b,
inference(superposition,[status(thm),theory(equality)],[c_1260,c_1211]) ).
tff(c_1305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_1268]) ).
tff(c_1306,plain,
( ( place_of(c) = second )
| ( place_of(c) = fourth ) ),
inference(splitRight,[status(thm)],[c_1176]) ).
tff(c_1312,plain,
place_of(c) = fourth,
inference(splitLeft,[status(thm)],[c_1306]) ).
tff(c_1360,plain,
entry_of(c) != holography,
inference(superposition,[status(thm),theory(equality)],[c_1312,c_52]) ).
tff(c_1359,plain,
entry_of(c) != laser_etching,
inference(superposition,[status(thm),theory(equality)],[c_1312,c_64]) ).
tff(c_1362,plain,
entry_of(c) != reconstituted_materials_sculpture,
inference(superposition,[status(thm),theory(equality)],[c_1312,c_54]) ).
tff(c_1381,plain,
( ( entry_of(c) = laser_etching )
| ( entry_of(c) = holography )
| ( entry_of(c) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_1362]) ).
tff(c_1385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1360,c_1359,c_1381]) ).
tff(c_1386,plain,
place_of(c) = second,
inference(splitRight,[status(thm)],[c_1306]) ).
tff(c_1552,plain,
! [X_307: knowheyan] :
( ( place_of(X_307) != second )
| ( c = X_307 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1386,c_46]) ).
tff(c_1591,plain,
! [X_314: knowheyan] :
( ( c = X_314 )
| ( a = X_314 )
| ( place_of(X_314) = fourth )
| ( place_of(X_314) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_1174,c_1552]) ).
tff(c_898,plain,
( ( place_of(b) != second )
| ( place_of(c) != first )
| ( place_of(d) != fourth ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_905,plain,
place_of(d) != fourth,
inference(splitLeft,[status(thm)],[c_898]) ).
tff(c_1644,plain,
( ( d = c )
| ( d = a )
| ( place_of(d) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_1591,c_905]) ).
tff(c_1679,plain,
place_of(d) = first,
inference(negUnitSimplification,[status(thm)],[c_6,c_12,c_1644]) ).
tff(c_1712,plain,
d = b,
inference(superposition,[status(thm),theory(equality)],[c_1679,c_1211]) ).
tff(c_1769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_1712]) ).
tff(c_1770,plain,
place_of(b) = second,
inference(splitRight,[status(thm)],[c_1180]) ).
tff(c_1792,plain,
! [X_6: knowheyan] :
( ( place_of(X_6) != second )
| ( b = X_6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1770,c_46]) ).
tff(c_2010,plain,
! [X_337: knowheyan] :
( ( b = X_337 )
| ( a = X_337 )
| ( place_of(X_337) = fourth )
| ( place_of(X_337) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_1916,c_1792]) ).
tff(c_2061,plain,
( ( d = b )
| ( d = a )
| ( place_of(d) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_2010,c_905]) ).
tff(c_2096,plain,
place_of(d) = first,
inference(negUnitSimplification,[status(thm)],[c_6,c_10,c_2061]) ).
tff(c_1843,plain,
place_of(c) = first,
inference(splitLeft,[status(thm)],[c_1176]) ).
tff(c_1869,plain,
! [X_6: knowheyan] :
( ( place_of(X_6) != first )
| ( c = X_6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1843,c_46]) ).
tff(c_2121,plain,
d = c,
inference(superposition,[status(thm),theory(equality)],[c_2096,c_1869]) ).
tff(c_2182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_2121]) ).
tff(c_2183,plain,
( ( place_of(c) = second )
| ( place_of(c) = fourth ) ),
inference(splitRight,[status(thm)],[c_1176]) ).
tff(c_2189,plain,
place_of(c) = fourth,
inference(splitLeft,[status(thm)],[c_2183]) ).
tff(c_2237,plain,
entry_of(c) != holography,
inference(superposition,[status(thm),theory(equality)],[c_2189,c_52]) ).
tff(c_2236,plain,
entry_of(c) != laser_etching,
inference(superposition,[status(thm),theory(equality)],[c_2189,c_64]) ).
tff(c_2239,plain,
entry_of(c) != reconstituted_materials_sculpture,
inference(superposition,[status(thm),theory(equality)],[c_2189,c_54]) ).
tff(c_2261,plain,
( ( entry_of(c) = laser_etching )
| ( entry_of(c) = holography )
| ( entry_of(c) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_2239]) ).
tff(c_2264,plain,
entry_of(c) = holography,
inference(negUnitSimplification,[status(thm)],[c_60,c_2236,c_2261]) ).
tff(c_2269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2237,c_2264]) ).
tff(c_2270,plain,
place_of(c) = second,
inference(splitRight,[status(thm)],[c_2183]) ).
tff(c_2382,plain,
c = b,
inference(superposition,[status(thm),theory(equality)],[c_2270,c_1792]) ).
tff(c_2427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_2382]) ).
tff(c_2428,plain,
( ( place_of(c) != first )
| ( place_of(b) != second ) ),
inference(splitRight,[status(thm)],[c_898]) ).
tff(c_2434,plain,
place_of(b) != second,
inference(splitLeft,[status(thm)],[c_2428]) ).
tff(c_2594,plain,
( ( place_of(b) = fourth )
| ( place_of(b) = second )
| ( place_of(b) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_2540,c_70]) ).
tff(c_2627,plain,
place_of(b) = first,
inference(negUnitSimplification,[status(thm)],[c_2434,c_66,c_2594]) ).
tff(c_2655,plain,
! [X_6: knowheyan] :
( ( place_of(X_6) != first )
| ( b = X_6 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2627,c_46]) ).
tff(c_3012,plain,
c = b,
inference(superposition,[status(thm),theory(equality)],[c_3004,c_2655]) ).
tff(c_3056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_3012]) ).
tff(c_3057,plain,
( ( place_of(c) = second )
| ( place_of(c) = fourth ) ),
inference(splitRight,[status(thm)],[c_2623]) ).
tff(c_3067,plain,
place_of(c) = fourth,
inference(splitLeft,[status(thm)],[c_3057]) ).
tff(c_2429,plain,
place_of(d) = fourth,
inference(splitRight,[status(thm)],[c_898]) ).
tff(c_2473,plain,
! [Y_369: knowheyan,X_370: knowheyan] :
( ( place_of(Y_369) != place_of(X_370) )
| ( Y_369 = X_370 ) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_2476,plain,
! [X_370: knowheyan] :
( ( place_of(X_370) != fourth )
| ( d = X_370 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2429,c_2473]) ).
tff(c_3088,plain,
d = c,
inference(superposition,[status(thm),theory(equality)],[c_3067,c_2476]) ).
tff(c_3124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_3088]) ).
tff(c_3125,plain,
place_of(c) = second,
inference(splitRight,[status(thm)],[c_3057]) ).
tff(c_74,plain,
! [X_11: knowheyan] :
( ( place_of(X_11) != second )
| ( entry_of(X_11) != laser_etching ) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_3190,plain,
entry_of(c) != laser_etching,
inference(superposition,[status(thm),theory(equality)],[c_3125,c_74]) ).
tff(c_9995,plain,
( ( c = a )
| ( entry_of(c) = holography )
| ( entry_of(c) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_9957,c_3190]) ).
tff(c_10090,plain,
entry_of(c) = holography,
inference(negUnitSimplification,[status(thm)],[c_60,c_4,c_9995]) ).
tff(c_58,plain,
! [X_9: knowheyan] :
( ( place_of(X_9) != first )
| ( entry_of(X_9) != collage_painting ) ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_2678,plain,
entry_of(b) != collage_painting,
inference(superposition,[status(thm),theory(equality)],[c_2627,c_58]) ).
tff(c_72,plain,
entry_of(b) != laser_etching,
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_10013,plain,
( ( b = a )
| ( entry_of(b) = holography )
| ( entry_of(b) = collage_painting ) ),
inference(superposition,[status(thm),theory(equality)],[c_9957,c_72]) ).
tff(c_10096,plain,
entry_of(b) = holography,
inference(negUnitSimplification,[status(thm)],[c_2678,c_2,c_10013]) ).
tff(c_11769,plain,
! [X_627: knowheyan] :
( ( entry_of(X_627) != holography )
| ( b = X_627 ) ),
inference(superposition,[status(thm),theory(equality)],[c_10096,c_44]) ).
tff(c_11783,plain,
c = b,
inference(superposition,[status(thm),theory(equality)],[c_10090,c_11769]) ).
tff(c_11844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_11783]) ).
tff(c_11845,plain,
place_of(c) != first,
inference(splitRight,[status(thm)],[c_2428]) ).
tff(c_12081,plain,
! [X_644: place] :
( ( fourth = X_644 )
| ( third = X_644 )
| ( second = X_644 )
| ( first = X_644 ) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_12135,plain,
( ( place_of(c) = fourth )
| ( place_of(c) = second )
| ( place_of(c) = first ) ),
inference(superposition,[status(thm),theory(equality)],[c_12081,c_68]) ).
tff(c_12168,plain,
( ( place_of(c) = fourth )
| ( place_of(c) = second ) ),
inference(negUnitSimplification,[status(thm)],[c_11845,c_12135]) ).
tff(c_12178,plain,
place_of(c) = second,
inference(splitLeft,[status(thm)],[c_12168]) ).
tff(c_11846,plain,
place_of(b) = second,
inference(splitRight,[status(thm)],[c_2428]) ).
tff(c_11927,plain,
! [Y_638: knowheyan,X_639: knowheyan] :
( ( place_of(Y_638) != place_of(X_639) )
| ( Y_638 = X_639 ) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_11933,plain,
! [Y_638: knowheyan] :
( ( place_of(Y_638) != second )
| ( b = Y_638 ) ),
inference(superposition,[status(thm),theory(equality)],[c_11846,c_11927]) ).
tff(c_12184,plain,
c = b,
inference(superposition,[status(thm),theory(equality)],[c_12178,c_11933]) ).
tff(c_12223,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_12184]) ).
tff(c_12224,plain,
place_of(c) = fourth,
inference(splitRight,[status(thm)],[c_12168]) ).
tff(c_11936,plain,
! [X_639: knowheyan] :
( ( place_of(X_639) != fourth )
| ( d = X_639 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2429,c_11927]) ).
tff(c_12338,plain,
d = c,
inference(superposition,[status(thm),theory(equality)],[c_12224,c_11936]) ).
tff(c_12373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_12338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ135_2 : TPTP v8.1.2. Released v5.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.34 % Computer : n015.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 3 17:52:14 EDT 2023
% 0.15/0.35 % CPUTime :
% 8.01/3.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.01/3.02
% 8.01/3.02 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.22/3.09
% 8.22/3.09 Inference rules
% 8.22/3.09 ----------------------
% 8.22/3.09 #Ref : 8
% 8.22/3.09 #Sup : 1904
% 8.22/3.09 #Fact : 126
% 8.22/3.09 #Define : 0
% 8.22/3.09 #Split : 17
% 8.22/3.09 #Chain : 0
% 8.22/3.09 #Close : 0
% 8.22/3.09
% 8.22/3.09 Ordering : KBO
% 8.22/3.09
% 8.22/3.09 Simplification rules
% 8.22/3.09 ----------------------
% 8.22/3.09 #Subsume : 1112
% 8.22/3.09 #Demod : 370
% 8.22/3.09 #Tautology : 586
% 8.22/3.09 #SimpNegUnit : 753
% 8.22/3.09 #BackRed : 63
% 8.22/3.09
% 8.22/3.09 #Partial instantiations: 7003
% 8.22/3.09 #Strategies tried : 1
% 8.22/3.09
% 8.22/3.09 Timing (in seconds)
% 8.22/3.09 ----------------------
% 8.22/3.09 Preprocessing : 0.59
% 8.22/3.09 Parsing : 0.33
% 8.22/3.09 CNF conversion : 0.03
% 8.22/3.09 Main loop : 1.30
% 8.22/3.09 Inferencing : 0.50
% 8.22/3.09 Reduction : 0.29
% 8.22/3.10 Demodulation : 0.16
% 8.22/3.10 BG Simplification : 0.04
% 8.22/3.10 Subsumption : 0.38
% 8.22/3.10 Abstraction : 0.05
% 8.22/3.10 MUC search : 0.00
% 8.22/3.10 Cooper : 0.00
% 8.22/3.10 Total : 2.01
% 8.22/3.10 Index Insertion : 0.00
% 8.22/3.10 Index Deletion : 0.00
% 8.22/3.10 Index Matching : 0.00
% 8.22/3.10 BG Taut test : 0.00
%------------------------------------------------------------------------------