TSTP Solution File: GRP086-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n028.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 10:39:48 EDT 2023
% Result : Unsatisfiable 20.95s 8.93s
% Output : CNFRefutation 20.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 100 ( 85 unt; 11 typ; 0 def)
% Number of atoms : 98 ( 94 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 22 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 196 (; 196 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > c3 > b4 > b3 > b2 > b1 > a4 > a3 > a2 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b1,type,
b1: $i ).
tff(b4,type,
b4: $i ).
tff(b3,type,
b3: $i ).
tff(a2,type,
a2: $i ).
tff(a4,type,
a4: $i ).
tff(f_25,axiom,
! [X,Y,Z] : ( multiply(X,multiply(multiply(Y,Z),inverse(multiply(X,Z)))) = Y ),
file(unknown,unknown) ).
tff(f_36,axiom,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(a4,b4) != multiply(b4,a4) ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( multiply(X_1,multiply(multiply(Y_2,Z_3),inverse(multiply(X_1,Z_3)))) = Y_2 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_5,plain,
! [X_4,Y_5,Z_6] : ( multiply(X_4,multiply(multiply(Y_5,Z_6),inverse(multiply(X_4,Z_6)))) = Y_5 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_26,plain,
! [X_7,Y_8,Z_9,X_10] : ( multiply(X_7,multiply(Y_8,inverse(multiply(X_7,multiply(multiply(Y_8,Z_9),inverse(multiply(X_10,Z_9))))))) = X_10 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_62,plain,
! [X_11,Y_12] : ( multiply(X_11,multiply(Y_12,inverse(Y_12))) = X_11 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_26]) ).
tff(c_8,plain,
! [X_1,Y_5,Z_6,X_4] : ( multiply(X_1,multiply(Y_5,inverse(multiply(X_1,multiply(multiply(Y_5,Z_6),inverse(multiply(X_4,Z_6))))))) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_101,plain,
! [X_13,Y_14] : ( multiply(X_13,multiply(Y_14,inverse(X_13))) = Y_14 ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_8]) ).
tff(c_118,plain,
! [X_4,Z_6,Y_5] : ( multiply(multiply(X_4,Z_6),multiply(Y_5,inverse(multiply(Y_5,Z_6)))) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_8]) ).
tff(c_59,plain,
! [X_1,Y_2] : ( multiply(X_1,multiply(Y_2,inverse(Y_2))) = X_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_26]) ).
tff(c_68,plain,
! [X_1,X_11,X_4,Y_12] : ( multiply(X_1,multiply(X_11,inverse(multiply(X_1,multiply(X_11,inverse(multiply(X_4,multiply(Y_12,inverse(Y_12))))))))) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_8]) ).
tff(c_15066,plain,
! [X_175,X_176,X_177] : ( multiply(X_175,multiply(X_176,inverse(multiply(X_175,multiply(X_176,inverse(X_177)))))) = X_177 ),
inference(demodulation,[status(thm),theory(equality)],[c_59,c_68]) ).
tff(c_15426,plain,
! [X_182,Y_183,Z_184] : ( multiply(X_182,multiply(multiply(Y_183,Z_184),inverse(Y_183))) = multiply(X_182,Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_15066]) ).
tff(c_12059,plain,
! [X_120,Z_121,Y_122] : ( multiply(multiply(X_120,Z_121),multiply(Y_122,inverse(multiply(Y_122,Z_121)))) = X_120 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_8]) ).
tff(c_12082,plain,
! [X_120,Z_121,Y_5] : ( multiply(multiply(X_120,Z_121),multiply(Y_5,inverse(X_120))) = multiply(Y_5,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_12059,c_8]) ).
tff(c_15458,plain,
! [Y_183,Z_184,Z_121] : ( multiply(multiply(Y_183,Z_184),Z_121) = multiply(multiply(Y_183,Z_121),Z_184) ),
inference(superposition,[status(thm),theory(equality)],[c_15426,c_12082]) ).
tff(c_11,plain,
! [X_4,Y_2,Y_5,Z_6] : ( multiply(X_4,multiply(multiply(Y_2,multiply(multiply(Y_5,Z_6),inverse(multiply(X_4,Z_6)))),inverse(Y_5))) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_17366,plain,
! [X_201,Y_202,Y_203,Z_204] : ( multiply(X_201,multiply(multiply(Y_202,inverse(Y_203)),multiply(multiply(Y_203,Z_204),inverse(multiply(X_201,Z_204))))) = Y_202 ),
inference(demodulation,[status(thm),theory(equality)],[c_15458,c_11]) ).
tff(c_17582,plain,
! [Y_203,X_4] : ( multiply(multiply(Y_203,inverse(Y_203)),X_4) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_17366]) ).
tff(c_17647,plain,
! [Y_205,X_206] : ( multiply(multiply(Y_205,inverse(Y_205)),X_206) = X_206 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_17366]) ).
tff(c_15620,plain,
! [Y_185,Z_187,Z_186] : ( multiply(multiply(Y_185,Z_187),Z_186) = multiply(multiply(Y_185,Z_186),Z_187) ),
inference(superposition,[status(thm),theory(equality)],[c_15426,c_12082]) ).
tff(c_15138,plain,
! [X_1,Y_2,Z_3] : ( multiply(X_1,multiply(multiply(Y_2,Z_3),inverse(Y_2))) = multiply(X_1,Z_3) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_15066]) ).
tff(c_15651,plain,
! [X_1,Y_185,Z_186] : ( multiply(X_1,multiply(multiply(Y_185,inverse(Y_185)),Z_186)) = multiply(X_1,Z_186) ),
inference(superposition,[status(thm),theory(equality)],[c_15620,c_15138]) ).
tff(c_16294,plain,
! [X_190,Y_191,Z_192] : ( multiply(X_190,multiply(multiply(Y_191,inverse(Y_191)),Z_192)) = multiply(X_190,Z_192) ),
inference(superposition,[status(thm),theory(equality)],[c_15620,c_15138]) ).
tff(c_94,plain,
! [X_1,X_11,X_4] : ( multiply(X_1,multiply(X_11,inverse(multiply(X_1,multiply(X_11,inverse(X_4)))))) = X_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_59,c_68]) ).
tff(c_16334,plain,
! [X_190,Y_191,X_4] : ( multiply(X_190,inverse(multiply(X_190,multiply(multiply(Y_191,inverse(Y_191)),inverse(X_4))))) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_16294,c_94]) ).
tff(c_16514,plain,
! [X_190,X_4] : ( multiply(X_190,inverse(multiply(X_190,inverse(X_4)))) = X_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_15651,c_16334]) ).
tff(c_17705,plain,
! [Y_205,X_4] : ( inverse(multiply(multiply(Y_205,inverse(Y_205)),inverse(X_4))) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_17647,c_16514]) ).
tff(c_17922,plain,
! [X_4] : ( inverse(inverse(X_4)) = X_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_17582,c_17705]) ).
tff(c_18014,plain,
! [Y_208,Z_209] : ( multiply(multiply(Y_208,Z_209),inverse(Y_208)) = Z_209 ),
inference(superposition,[status(thm),theory(equality)],[c_15458,c_17647]) ).
tff(c_17881,plain,
! [Y_183,Z_121] : ( multiply(multiply(Y_183,Z_121),inverse(Y_183)) = Z_121 ),
inference(superposition,[status(thm),theory(equality)],[c_15458,c_17647]) ).
tff(c_18017,plain,
! [Z_209,Y_208] : ( multiply(Z_209,inverse(multiply(Y_208,Z_209))) = inverse(Y_208) ),
inference(superposition,[status(thm),theory(equality)],[c_18014,c_17881]) ).
tff(c_16540,plain,
! [X_193,X_194] : ( multiply(X_193,inverse(multiply(X_193,inverse(X_194)))) = X_194 ),
inference(demodulation,[status(thm),theory(equality)],[c_15651,c_16334]) ).
tff(c_16631,plain,
! [Y_195,X_196] : ( multiply(multiply(Y_195,inverse(X_196)),X_196) = Y_195 ),
inference(superposition,[status(thm),theory(equality)],[c_16540,c_2]) ).
tff(c_27622,plain,
! [X_272,Y_273,X_274] : ( multiply(X_272,multiply(Y_273,inverse(multiply(X_272,X_274)))) = multiply(Y_273,inverse(X_274)) ),
inference(superposition,[status(thm),theory(equality)],[c_16631,c_2]) ).
tff(c_27862,plain,
! [Z_209,Y_273,Y_208] : ( multiply(Z_209,multiply(Y_273,inverse(inverse(Y_208)))) = multiply(Y_273,inverse(inverse(multiply(Y_208,Z_209)))) ),
inference(superposition,[status(thm),theory(equality)],[c_18017,c_27622]) ).
tff(c_28077,plain,
! [Z_209,Y_273,Y_208] : ( multiply(Z_209,multiply(Y_273,Y_208)) = multiply(Y_273,multiply(Y_208,Z_209)) ),
inference(demodulation,[status(thm),theory(equality)],[c_17922,c_17922,c_27862]) ).
tff(c_16838,plain,
! [Y_197,X_198] : ( multiply(multiply(Y_197,X_198),inverse(X_198)) = Y_197 ),
inference(superposition,[status(thm),theory(equality)],[c_16631,c_15458]) ).
tff(c_75,plain,
! [X_11,Y_5] : ( multiply(X_11,multiply(Y_5,inverse(X_11))) = Y_5 ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_8]) ).
tff(c_16893,plain,
! [Y_197,X_198] : ( multiply(Y_197,X_198) = multiply(X_198,Y_197) ),
inference(superposition,[status(thm),theory(equality)],[c_16838,c_75]) ).
tff(c_13538,plain,
! [X_152,Y_153,X_154] : ( multiply(X_152,multiply(Y_153,inverse(multiply(X_152,multiply(Y_153,inverse(X_154)))))) = X_154 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_2]) ).
tff(c_13832,plain,
! [X_158,Y_159,Z_160] : ( multiply(X_158,multiply(multiply(Y_159,Z_160),inverse(Y_159))) = multiply(X_158,Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_13538]) ).
tff(c_13856,plain,
! [Y_159,Z_160,Z_121] : ( multiply(multiply(Y_159,Z_160),Z_121) = multiply(multiply(Y_159,Z_121),Z_160) ),
inference(superposition,[status(thm),theory(equality)],[c_13832,c_12082]) ).
tff(c_124,plain,
! [X_13,Y_2,Y_14] : ( multiply(X_13,multiply(multiply(Y_2,multiply(Y_14,inverse(X_13))),inverse(Y_14))) = Y_2 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_2]) ).
tff(c_14454,plain,
! [X_165,Y_166,Y_167] : ( multiply(X_165,multiply(multiply(Y_166,inverse(Y_167)),multiply(Y_167,inverse(X_165)))) = Y_166 ),
inference(demodulation,[status(thm),theory(equality)],[c_13856,c_124]) ).
tff(c_14534,plain,
! [Y_5,X_4] : ( multiply(multiply(Y_5,inverse(Y_5)),X_4) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_14454]) ).
tff(c_14561,plain,
! [Y_168,X_169] : ( multiply(multiply(Y_168,inverse(Y_168)),X_169) = X_169 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_14454]) ).
tff(c_14587,plain,
! [Y_168,Z_121,X_169] : ( multiply(multiply(multiply(Y_168,inverse(Y_168)),Z_121),X_169) = multiply(X_169,Z_121) ),
inference(superposition,[status(thm),theory(equality)],[c_14561,c_13856]) ).
tff(c_14806,plain,
! [Z_121,X_169] : ( multiply(Z_121,X_169) = multiply(X_169,Z_121) ),
inference(demodulation,[status(thm),theory(equality)],[c_14534,c_14587]) ).
tff(c_12225,plain,
! [X_126,X_127,X_128] : ( multiply(X_126,multiply(X_127,inverse(multiply(X_126,multiply(X_127,inverse(X_128)))))) = X_128 ),
inference(demodulation,[status(thm),theory(equality)],[c_59,c_68]) ).
tff(c_12285,plain,
! [X_129,Y_130,Z_131] : ( multiply(X_129,multiply(multiply(Y_130,Z_131),inverse(Y_130))) = multiply(X_129,Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_12225]) ).
tff(c_12301,plain,
! [Y_130,Z_131,Z_121] : ( multiply(multiply(Y_130,Z_131),Z_121) = multiply(multiply(Y_130,Z_121),Z_131) ),
inference(superposition,[status(thm),theory(equality)],[c_12285,c_12082]) ).
tff(c_12393,plain,
! [Y_132,Z_134,Z_133] : ( multiply(multiply(Y_132,Z_134),Z_133) = multiply(multiply(Y_132,Z_133),Z_134) ),
inference(superposition,[status(thm),theory(equality)],[c_12285,c_12082]) ).
tff(c_12276,plain,
! [X_1,Y_2,Z_3] : ( multiply(X_1,multiply(multiply(Y_2,Z_3),inverse(Y_2))) = multiply(X_1,Z_3) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_12225]) ).
tff(c_12424,plain,
! [X_1,Y_132,Z_133] : ( multiply(X_1,multiply(multiply(Y_132,inverse(Y_132)),Z_133)) = multiply(X_1,Z_133) ),
inference(superposition,[status(thm),theory(equality)],[c_12393,c_12276]) ).
tff(c_12662,plain,
! [X_135,Y_136,Z_137] : ( multiply(X_135,multiply(multiply(Y_136,inverse(Y_136)),Z_137)) = multiply(X_135,Z_137) ),
inference(superposition,[status(thm),theory(equality)],[c_12393,c_12276]) ).
tff(c_12698,plain,
! [X_135,Y_136,X_4] : ( multiply(X_135,inverse(multiply(X_135,multiply(multiply(Y_136,inverse(Y_136)),inverse(X_4))))) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_12662,c_94]) ).
tff(c_12860,plain,
! [X_138,X_139] : ( multiply(X_138,inverse(multiply(X_138,inverse(X_139)))) = X_139 ),
inference(demodulation,[status(thm),theory(equality)],[c_12424,c_12698]) ).
tff(c_12942,plain,
! [X_140,X_141] : ( multiply(multiply(X_140,inverse(X_141)),X_141) = X_140 ),
inference(superposition,[status(thm),theory(equality)],[c_12860,c_118]) ).
tff(c_13155,plain,
! [Y_143,Z_144] : ( multiply(multiply(Y_143,Z_144),inverse(Z_144)) = Y_143 ),
inference(superposition,[status(thm),theory(equality)],[c_12301,c_12942]) ).
tff(c_13202,plain,
! [Z_144,Y_143] : ( multiply(Z_144,Y_143) = multiply(Y_143,Z_144) ),
inference(superposition,[status(thm),theory(equality)],[c_13155,c_75]) ).
tff(c_222,plain,
! [X_18,Y_19,X_20] : ( multiply(X_18,multiply(Y_19,inverse(multiply(X_18,multiply(Y_19,inverse(X_20)))))) = X_20 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_2]) ).
tff(c_355,plain,
! [X_24,Y_25,Z_26] : ( multiply(X_24,multiply(multiply(Y_25,Z_26),inverse(Y_25))) = multiply(X_24,Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_222]) ).
tff(c_139,plain,
! [X_15,Z_16,Y_17] : ( multiply(multiply(X_15,Z_16),multiply(Y_17,inverse(multiply(Y_17,Z_16)))) = X_15 ),
inference(superposition,[status(thm),theory(equality)],[c_101,c_8]) ).
tff(c_162,plain,
! [X_15,Z_16,Y_5] : ( multiply(multiply(X_15,Z_16),multiply(Y_5,inverse(X_15))) = multiply(Y_5,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_139,c_8]) ).
tff(c_368,plain,
! [Y_25,Z_26,Z_16] : ( multiply(multiply(Y_25,Z_26),Z_16) = multiply(multiply(Y_25,Z_16),Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_355,c_162]) ).
tff(c_20,plain,
! [X_1,Y_5,Y_2,Z_3] : ( multiply(X_1,multiply(multiply(Y_5,multiply(multiply(Y_2,Z_3),inverse(multiply(X_1,Z_3)))),inverse(Y_2))) = Y_5 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_5]) ).
tff(c_724,plain,
! [X_30,Y_31,Y_32,Z_33] : ( multiply(X_30,multiply(multiply(Y_31,inverse(Y_32)),multiply(multiply(Y_32,Z_33),inverse(multiply(X_30,Z_33))))) = Y_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_20]) ).
tff(c_883,plain,
! [Y_34,X_35] : ( multiply(multiply(Y_34,inverse(Y_34)),X_35) = X_35 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_724]) ).
tff(c_992,plain,
! [Y_34,Y_2] : ( multiply(Y_34,inverse(Y_34)) = multiply(Y_2,inverse(Y_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_883,c_59]) ).
tff(c_828,plain,
! [Y_32,X_4] : ( multiply(multiply(Y_32,inverse(Y_32)),X_4) = X_4 ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_724]) ).
tff(c_915,plain,
! [Y_34,Z_16,X_35] : ( multiply(multiply(multiply(Y_34,inverse(Y_34)),Z_16),X_35) = multiply(X_35,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_883,c_368]) ).
tff(c_1084,plain,
! [Z_16,X_35] : ( multiply(Z_16,X_35) = multiply(X_35,Z_16) ),
inference(demodulation,[status(thm),theory(equality)],[c_828,c_915]) ).
tff(c_4,plain,
( ( multiply(b4,a4) != multiply(a4,b4) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(inverse(b1),b1) != multiply(inverse(a1),a1) ) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_137,plain,
multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
inference(splitLeft,[status(thm)],[c_4]) ).
tff(c_1107,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm),theory(equality)],[c_1084,c_1084,c_137]) ).
tff(c_8672,plain,
! [Y_2] : ( multiply(a1,inverse(a1)) != multiply(Y_2,inverse(Y_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_992,c_1107]) ).
tff(c_12039,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_8672]) ).
tff(c_12040,plain,
( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(b4,a4) != multiply(a4,b4) ) ),
inference(splitRight,[status(thm)],[c_4]) ).
tff(c_12148,plain,
multiply(b4,a4) != multiply(a4,b4),
inference(splitLeft,[status(thm)],[c_12040]) ).
tff(c_13279,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13202,c_12148]) ).
tff(c_13280,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(splitRight,[status(thm)],[c_12040]) ).
tff(c_13449,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(splitLeft,[status(thm)],[c_13280]) ).
tff(c_14041,plain,
multiply(multiply(inverse(b2),a2),b2) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_13856,c_13449]) ).
tff(c_14833,plain,
multiply(b2,multiply(a2,inverse(b2))) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_14806,c_14806,c_14041]) ).
tff(c_14843,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75,c_14833]) ).
tff(c_14844,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(splitRight,[status(thm)],[c_13280]) ).
tff(c_17011,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_16893,c_14844]) ).
tff(c_55203,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28077,c_17011]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:33:54 EDT 2023
% 0.21/0.36 % CPUTime :
% 20.95/8.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.95/8.94
% 20.95/8.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.95/8.97
% 20.95/8.97 Inference rules
% 20.95/8.97 ----------------------
% 20.95/8.97 #Ref : 1
% 20.95/8.97 #Sup : 14011
% 20.95/8.97 #Fact : 0
% 20.95/8.98 #Define : 0
% 20.95/8.98 #Split : 3
% 20.95/8.98 #Chain : 0
% 20.95/8.98 #Close : 0
% 20.95/8.98
% 20.95/8.98 Ordering : KBO
% 20.95/8.98
% 20.95/8.98 Simplification rules
% 20.95/8.98 ----------------------
% 20.95/8.98 #Subsume : 959
% 20.95/8.98 #Demod : 15442
% 20.95/8.98 #Tautology : 4806
% 20.95/8.98 #SimpNegUnit : 0
% 20.95/8.98 #BackRed : 65
% 20.95/8.98
% 20.95/8.98 #Partial instantiations: 0
% 20.95/8.98 #Strategies tried : 1
% 20.95/8.98
% 20.95/8.98 Timing (in seconds)
% 20.95/8.98 ----------------------
% 20.95/8.98 Preprocessing : 0.41
% 20.95/8.98 Parsing : 0.22
% 20.95/8.98 CNF conversion : 0.02
% 20.95/8.98 Main loop : 7.49
% 20.95/8.98 Inferencing : 1.48
% 20.95/8.98 Reduction : 4.75
% 20.95/8.98 Demodulation : 4.51
% 20.95/8.98 BG Simplification : 0.21
% 20.95/8.98 Subsumption : 0.71
% 20.95/8.98 Abstraction : 0.33
% 20.95/8.98 MUC search : 0.00
% 20.95/8.98 Cooper : 0.00
% 20.95/8.98 Total : 7.97
% 20.95/8.98 Index Insertion : 0.00
% 20.95/8.98 Index Deletion : 0.00
% 20.95/8.98 Index Matching : 0.00
% 20.95/8.98 BG Taut test : 0.00
%------------------------------------------------------------------------------