TSTP Solution File: BOO012-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : BOO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n014.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 10:34:24 EDT 2023
% Result : Unsatisfiable 91.81s 76.56s
% Output : CNFRefutation 91.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 100 ( 40 unt; 8 typ; 0 def)
% Number of atoms : 190 ( 25 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 198 ( 100 ~; 98 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 5 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 244 (; 244 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > inverse > x > multiplicative_identity > additive_identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(x,type,
x: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_215,axiom,
! [X] : product(X,additive_identity,additive_identity),
file(unknown,unknown) ).
tff(f_184,axiom,
! [X] : sum(X,inverse(X),multiplicative_identity),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] :
( ~ product(X,Y,Z)
| product(Y,X,Z) ),
file(unknown,unknown) ).
tff(f_229,axiom,
! [X,Y] : product(X,add(X,Y),X),
file(unknown,unknown) ).
tff(f_205,axiom,
! [X,Y,U,V] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file(unknown,unknown) ).
tff(f_197,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_186,axiom,
! [X] : product(inverse(X),X,additive_identity),
file(unknown,unknown) ).
tff(f_64,axiom,
! [X] : sum(X,additive_identity,X),
file(unknown,unknown) ).
tff(f_138,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ sum(X,Y,V1)
| ~ sum(X,Z,V2)
| ~ product(Y,Z,V3)
| ~ sum(X,V3,V4)
| product(V1,V2,V4) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X] : product(multiplicative_identity,X,X),
file(unknown,unknown) ).
tff(f_211,axiom,
! [X] : product(X,X,X),
file(unknown,unknown) ).
tff(f_273,axiom,
! [X_times_Y_times_Z,Z,X_times_Y,X,Y,Y_times_Z] :
( ~ product(X,Y,X_times_Y)
| ~ product(Y,Z,Y_times_Z)
| product(X_times_Y,Z,X_times_Y_times_Z)
| ~ product(X,Y_times_Z,X_times_Y_times_Z) ),
file(unknown,unknown) ).
tff(f_180,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ sum(Y,X,V1)
| ~ sum(Z,X,V2)
| ~ product(Y,Z,V3)
| ~ product(V1,V2,V4)
| sum(V3,X,V4) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X,Y] : sum(X,multiply(X,Y),X),
file(unknown,unknown) ).
tff(f_82,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] : sum(additive_identity,X,X),
file(unknown,unknown) ).
tff(f_251,axiom,
! [X_plus_Y,Z,Y_plus_Z,X,Y,X_plus_Y_plus_Z] :
( ~ sum(X,Y,X_plus_Y)
| ~ sum(Y,Z,Y_plus_Z)
| sum(X_plus_Y,Z,X_plus_Y_plus_Z)
| ~ sum(X,Y_plus_Z,X_plus_Y_plus_Z) ),
file(unknown,unknown) ).
tff(f_275,axiom,
inverse(inverse(x)) != x,
file(unknown,unknown) ).
tff(c_52,plain,
! [X_86] : product(X_86,additive_identity,additive_identity),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_36,plain,
! [X_72] : sum(X_72,inverse(X_72),multiplicative_identity),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_4,plain,
! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_87,plain,
! [Y_141,X_142,Z_143] :
( product(Y_141,X_142,Z_143)
| ~ product(X_142,Y_141,Z_143) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_105,plain,
! [Y_4,X_3] : product(Y_4,X_3,multiply(X_3,Y_4)),
inference(resolution,[status(thm)],[c_4,c_87]) ).
tff(c_60,plain,
! [X_95,Y_96] : product(X_95,add(X_95,Y_96),X_95),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_279,plain,
! [V_167,U_168,X_169,Y_170] :
( ( V_167 = U_168 )
| ~ product(X_169,Y_170,V_167)
| ~ product(X_169,Y_170,U_168) ),
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_2729,plain,
! [X_295,U_296,Y_297] :
( ( X_295 = U_296 )
| ~ product(X_295,add(X_295,Y_297),U_296) ),
inference(resolution,[status(thm)],[c_60,c_279]) ).
tff(c_2794,plain,
! [Y_4,Y_297] : ( multiply(add(Y_4,Y_297),Y_4) = Y_4 ),
inference(resolution,[status(thm)],[c_105,c_2729]) ).
tff(c_2,plain,
! [X_1,Y_2] : sum(X_1,Y_2,add(X_1,Y_2)),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_165,plain,
! [Y_152,X_153,Z_154] :
( sum(Y_152,X_153,Z_154)
| ~ sum(X_153,Y_152,Z_154) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_183,plain,
! [Y_2,X_1] : sum(Y_2,X_1,add(X_1,Y_2)),
inference(resolution,[status(thm)],[c_2,c_165]) ).
tff(c_480,plain,
! [V_176,U_177,X_178,Y_179] :
( ( V_176 = U_177 )
| ~ sum(X_178,Y_179,V_176)
| ~ sum(X_178,Y_179,U_177) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_2045,plain,
! [X_268,Y_269,U_270] :
( ( add(X_268,Y_269) = U_270 )
| ~ sum(X_268,Y_269,U_270) ),
inference(resolution,[status(thm)],[c_2,c_480]) ).
tff(c_2087,plain,
! [Y_2,X_1] : ( add(Y_2,X_1) = add(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_183,c_2045]) ).
tff(c_38,plain,
! [X_73] : product(inverse(X_73),X_73,additive_identity),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_12,plain,
! [X_12] : sum(X_12,additive_identity,X_12),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_1933,plain,
! [V3_257,Y_258,V1_261,V4_263,V2_259,Z_260,X_262] :
( product(V1_261,V2_259,V4_263)
| ~ sum(X_262,V3_257,V4_263)
| ~ product(Y_258,Z_260,V3_257)
| ~ sum(X_262,Z_260,V2_259)
| ~ sum(X_262,Y_258,V1_261) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_21122,plain,
! [Y_716,X_714,V2_715,Z_717,V1_713] :
( product(V1_713,V2_715,X_714)
| ~ product(Y_716,Z_717,additive_identity)
| ~ sum(X_714,Z_717,V2_715)
| ~ sum(X_714,Y_716,V1_713) ),
inference(resolution,[status(thm)],[c_12,c_1933]) ).
tff(c_389703,plain,
! [V1_3018,V2_3019,X_3020,X_3021] :
( product(V1_3018,V2_3019,X_3020)
| ~ sum(X_3020,X_3021,V2_3019)
| ~ sum(X_3020,inverse(X_3021),V1_3018) ),
inference(resolution,[status(thm)],[c_38,c_21122]) ).
tff(c_410716,plain,
! [V1_3108,X_3109] :
( product(V1_3108,multiplicative_identity,X_3109)
| ~ sum(X_3109,inverse(inverse(X_3109)),V1_3108) ),
inference(resolution,[status(thm)],[c_36,c_389703]) ).
tff(c_411202,plain,
! [Y_2] : product(add(inverse(inverse(Y_2)),Y_2),multiplicative_identity,Y_2),
inference(resolution,[status(thm)],[c_183,c_410716]) ).
tff(c_411361,plain,
! [Y_3110] : product(add(Y_3110,inverse(inverse(Y_3110))),multiplicative_identity,Y_3110),
inference(demodulation,[status(thm),theory(equality)],[c_2087,c_411202]) ).
tff(c_14,plain,
! [X_13] : product(multiplicative_identity,X_13,X_13),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_316,plain,
! [X_171,U_172] :
( ( X_171 = U_172 )
| ~ product(multiplicative_identity,X_171,U_172) ),
inference(resolution,[status(thm)],[c_14,c_279]) ).
tff(c_353,plain,
! [X_3] : ( multiply(X_3,multiplicative_identity) = X_3 ),
inference(resolution,[status(thm)],[c_105,c_316]) ).
tff(c_48,plain,
! [X_84] : product(X_84,X_84,X_84),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_817,plain,
! [X_200,Y_times_Z_196,Y_197,X_times_Y_199,X_times_Y_times_Z_198,Z_195] :
( ~ product(X_200,Y_times_Z_196,X_times_Y_times_Z_198)
| product(X_times_Y_199,Z_195,X_times_Y_times_Z_198)
| ~ product(Y_197,Z_195,Y_times_Z_196)
| ~ product(X_200,Y_197,X_times_Y_199) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_11491,plain,
! [Y_500,Z_496,X_498,X_times_Y_499,Y_497] :
( product(X_times_Y_499,Z_496,multiply(X_498,Y_500))
| ~ product(Y_497,Z_496,Y_500)
| ~ product(X_498,Y_497,X_times_Y_499) ),
inference(resolution,[status(thm)],[c_4,c_817]) ).
tff(c_82877,plain,
! [X_times_Y_1443,X_1444,X_1445] :
( product(X_times_Y_1443,X_1444,multiply(X_1445,X_1444))
| ~ product(X_1445,X_1444,X_times_Y_1443) ),
inference(resolution,[status(thm)],[c_48,c_11491]) ).
tff(c_8,plain,
! [Y_9,X_8,Z_10] :
( product(Y_9,X_8,Z_10)
| ~ product(X_8,Y_9,Z_10) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_141523,plain,
! [X_1873,X_times_Y_1874,X_1875] :
( product(X_1873,X_times_Y_1874,multiply(X_1875,X_1873))
| ~ product(X_1875,X_1873,X_times_Y_1874) ),
inference(resolution,[status(thm)],[c_82877,c_8]) ).
tff(c_5892,plain,
! [X_times_Y_391,Z_392,X_393,Y_394] :
( product(X_times_Y_391,Z_392,X_393)
| ~ product(Y_394,Z_392,X_393)
| ~ product(multiplicative_identity,Y_394,X_times_Y_391) ),
inference(resolution,[status(thm)],[c_14,c_817]) ).
tff(c_60832,plain,
! [X_times_Y_1205,X_1206,Y_1207] :
( product(X_times_Y_1205,X_1206,multiply(X_1206,Y_1207))
| ~ product(multiplicative_identity,Y_1207,X_times_Y_1205) ),
inference(resolution,[status(thm)],[c_105,c_5892]) ).
tff(c_314,plain,
! [X_84,U_168] :
( ( X_84 = U_168 )
| ~ product(X_84,X_84,U_168) ),
inference(resolution,[status(thm)],[c_48,c_279]) ).
tff(c_61278,plain,
! [X_1206,Y_1207] :
( ( multiply(X_1206,Y_1207) = X_1206 )
| ~ product(multiplicative_identity,Y_1207,X_1206) ),
inference(resolution,[status(thm)],[c_60832,c_314]) ).
tff(c_141770,plain,
! [X_1875,X_times_Y_1874] :
( ( multiply(multiply(X_1875,multiplicative_identity),X_times_Y_1874) = multiply(X_1875,multiplicative_identity) )
| ~ product(X_1875,multiplicative_identity,X_times_Y_1874) ),
inference(resolution,[status(thm)],[c_141523,c_61278]) ).
tff(c_142263,plain,
! [X_1875,X_times_Y_1874] :
( ( multiply(X_1875,X_times_Y_1874) = X_1875 )
| ~ product(X_1875,multiplicative_identity,X_times_Y_1874) ),
inference(demodulation,[status(thm),theory(equality)],[c_353,c_353,c_141770]) ).
tff(c_411451,plain,
! [Y_3110] : ( multiply(add(Y_3110,inverse(inverse(Y_3110))),Y_3110) = add(Y_3110,inverse(inverse(Y_3110))) ),
inference(resolution,[status(thm)],[c_411361,c_142263]) ).
tff(c_412116,plain,
! [Y_3111] : ( add(Y_3111,inverse(inverse(Y_3111))) = Y_3111 ),
inference(demodulation,[status(thm),theory(equality)],[c_2794,c_411451]) ).
tff(c_412826,plain,
! [Y_3111] : sum(Y_3111,inverse(inverse(Y_3111)),Y_3111),
inference(superposition,[status(thm),theory(equality)],[c_412116,c_2]) ).
tff(c_2370,plain,
! [X_281,V1_275,V2_280,Y_279,Z_278,V3_277,V4_276] :
( sum(V3_277,X_281,V4_276)
| ~ product(V1_275,V2_280,V4_276)
| ~ product(Y_279,Z_278,V3_277)
| ~ sum(Z_278,X_281,V2_280)
| ~ sum(Y_279,X_281,V1_275) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_13473,plain,
! [X_564,V3_562,X_563,Z_565,Y_561] :
( sum(V3_562,X_563,X_564)
| ~ product(Y_561,Z_565,V3_562)
| ~ sum(Z_565,X_563,X_564)
| ~ sum(Y_561,X_563,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_14,c_2370]) ).
tff(c_416303,plain,
! [X_3118,X_3119,X_3120] :
( sum(additive_identity,X_3118,X_3119)
| ~ sum(X_3120,X_3118,X_3119)
| ~ sum(inverse(X_3120),X_3118,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_38,c_13473]) ).
tff(c_416307,plain,
! [Y_3111] :
( sum(additive_identity,inverse(inverse(Y_3111)),Y_3111)
| ~ sum(inverse(Y_3111),inverse(inverse(Y_3111)),multiplicative_identity) ),
inference(resolution,[status(thm)],[c_412826,c_416303]) ).
tff(c_416923,plain,
! [Y_3121] : sum(additive_identity,inverse(inverse(Y_3121)),Y_3121),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_416307]) ).
tff(c_58,plain,
! [X_93,Y_94] : sum(X_93,multiply(X_93,Y_94),X_93),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_182,plain,
! [X_93,Y_94] : sum(multiply(X_93,Y_94),X_93,X_93),
inference(resolution,[status(thm)],[c_58,c_165]) ).
tff(c_854,plain,
! [X_201,U_202] :
( ( X_201 = U_202 )
| ~ sum(X_201,additive_identity,U_202) ),
inference(resolution,[status(thm)],[c_12,c_480]) ).
tff(c_887,plain,
! [Y_94] : ( multiply(additive_identity,Y_94) = additive_identity ),
inference(resolution,[status(thm)],[c_182,c_854]) ).
tff(c_1745,plain,
! [V3_250,V1_251,Z_248,V2_247,X_249,Y_252,V4_246] :
( sum(V1_251,V2_247,V4_246)
| ~ product(X_249,V3_250,V4_246)
| ~ sum(Y_252,Z_248,V3_250)
| ~ product(X_249,Z_248,V2_247)
| ~ product(X_249,Y_252,V1_251) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_20429,plain,
! [V1_680,V2_679,X_681,Z_678,Y_682] :
( sum(V1_680,V2_679,additive_identity)
| ~ sum(Y_682,Z_678,additive_identity)
| ~ product(X_681,Z_678,V2_679)
| ~ product(X_681,Y_682,V1_680) ),
inference(resolution,[status(thm)],[c_52,c_1745]) ).
tff(c_20441,plain,
! [V1_680,V2_679,X_681,Y_94] :
( sum(V1_680,V2_679,additive_identity)
| ~ product(X_681,multiply(additive_identity,Y_94),V2_679)
| ~ product(X_681,additive_identity,V1_680) ),
inference(resolution,[status(thm)],[c_58,c_20429]) ).
tff(c_115083,plain,
! [V1_1694,V2_1695,X_1696] :
( sum(V1_1694,V2_1695,additive_identity)
| ~ product(X_1696,additive_identity,V2_1695)
| ~ product(X_1696,additive_identity,V1_1694) ),
inference(demodulation,[status(thm),theory(equality)],[c_887,c_20441]) ).
tff(c_115799,plain,
! [V1_1699] :
( sum(V1_1699,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,V1_1699) ),
inference(resolution,[status(thm)],[c_14,c_115083]) ).
tff(c_890,plain,
! [X_1] : ( add(X_1,additive_identity) = X_1 ),
inference(resolution,[status(thm)],[c_2,c_854]) ).
tff(c_10,plain,
! [X_11] : sum(additive_identity,X_11,X_11),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_641,plain,
! [Y_plus_Z_185,Y_189,X_plus_Y_188,X_plus_Y_plus_Z_187,Z_184,X_186] :
( ~ sum(X_186,Y_plus_Z_185,X_plus_Y_plus_Z_187)
| sum(X_plus_Y_188,Z_184,X_plus_Y_plus_Z_187)
| ~ sum(Y_189,Z_184,Y_plus_Z_185)
| ~ sum(X_186,Y_189,X_plus_Y_188) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_12443,plain,
! [Y_516,X_plus_Y_513,Z_512,Y_514,X_515] :
( sum(X_plus_Y_513,Z_512,add(X_515,Y_516))
| ~ sum(Y_514,Z_512,Y_516)
| ~ sum(X_515,Y_514,X_plus_Y_513) ),
inference(resolution,[status(thm)],[c_2,c_641]) ).
tff(c_71426,plain,
! [X_plus_Y_1317,X_1318,X_1319] :
( sum(X_plus_Y_1317,X_1318,add(X_1319,X_1318))
| ~ sum(X_1319,additive_identity,X_plus_Y_1317) ),
inference(resolution,[status(thm)],[c_10,c_12443]) ).
tff(c_4386,plain,
! [X_plus_Y_346,Z_347,X_348,Y_349] :
( sum(X_plus_Y_346,Z_347,X_348)
| ~ sum(Y_349,Z_347,X_348)
| ~ sum(additive_identity,Y_349,X_plus_Y_346) ),
inference(resolution,[status(thm)],[c_10,c_641]) ).
tff(c_4426,plain,
! [X_plus_Y_346,X_11] :
( sum(X_plus_Y_346,X_11,X_11)
| ~ sum(additive_identity,additive_identity,X_plus_Y_346) ),
inference(resolution,[status(thm)],[c_10,c_4386]) ).
tff(c_71605,plain,
! [X_1319,X_11] :
( sum(add(X_1319,additive_identity),X_11,X_11)
| ~ sum(X_1319,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_71426,c_4426]) ).
tff(c_71881,plain,
! [X_1319,X_11] :
( sum(X_1319,X_11,X_11)
| ~ sum(X_1319,additive_identity,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_890,c_71605]) ).
tff(c_117325,plain,
! [V1_1715,X_1716] :
( sum(V1_1715,X_1716,X_1716)
| ~ product(multiplicative_identity,additive_identity,V1_1715) ),
inference(resolution,[status(thm)],[c_115799,c_71881]) ).
tff(c_42,plain,
! [V_78,U_77,X_75,Y_76] :
( ( V_78 = U_77 )
| ~ sum(X_75,Y_76,V_78)
| ~ sum(X_75,Y_76,U_77) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_118056,plain,
! [X_1716,U_77,V1_1715] :
( ( X_1716 = U_77 )
| ~ sum(V1_1715,X_1716,U_77)
| ~ product(multiplicative_identity,additive_identity,V1_1715) ),
inference(resolution,[status(thm)],[c_117325,c_42]) ).
tff(c_417002,plain,
! [Y_3121] :
( ( inverse(inverse(Y_3121)) = Y_3121 )
| ~ product(multiplicative_identity,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_416923,c_118056]) ).
tff(c_417468,plain,
! [Y_3121] : ( inverse(inverse(Y_3121)) = Y_3121 ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_417002]) ).
tff(c_70,plain,
inverse(inverse(x)) != x,
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_417687,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_417468,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 18:26:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 91.81/76.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 91.81/76.57
% 91.81/76.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 91.81/76.61
% 91.81/76.61 Inference rules
% 91.81/76.61 ----------------------
% 91.81/76.61 #Ref : 0
% 91.81/76.61 #Sup : 101217
% 91.81/76.61 #Fact : 0
% 91.81/76.61 #Define : 0
% 91.81/76.61 #Split : 18
% 91.81/76.61 #Chain : 0
% 91.81/76.61 #Close : 0
% 91.81/76.61
% 91.81/76.61 Ordering : KBO
% 91.81/76.61
% 91.81/76.61 Simplification rules
% 91.81/76.61 ----------------------
% 91.81/76.61 #Subsume : 32071
% 91.81/76.61 #Demod : 62242
% 91.81/76.61 #Tautology : 33298
% 91.81/76.61 #SimpNegUnit : 940
% 91.81/76.61 #BackRed : 23
% 91.81/76.61
% 91.81/76.61 #Partial instantiations: 0
% 91.81/76.61 #Strategies tried : 1
% 91.81/76.61
% 91.81/76.61 Timing (in seconds)
% 91.81/76.61 ----------------------
% 91.81/76.61 Preprocessing : 0.51
% 91.81/76.61 Parsing : 0.27
% 91.81/76.61 CNF conversion : 0.03
% 91.81/76.61 Main loop : 75.03
% 91.81/76.62 Inferencing : 4.85
% 91.81/76.62 Reduction : 25.83
% 91.81/76.62 Demodulation : 21.26
% 91.81/76.62 BG Simplification : 0.30
% 91.81/76.62 Subsumption : 39.56
% 91.81/76.62 Abstraction : 0.50
% 91.81/76.62 MUC search : 0.00
% 91.81/76.62 Cooper : 0.00
% 91.81/76.62 Total : 75.61
% 91.81/76.62 Index Insertion : 0.00
% 91.81/76.62 Index Deletion : 0.00
% 91.81/76.62 Index Matching : 0.00
% 91.81/76.62 BG Taut test : 0.00
%------------------------------------------------------------------------------