TSTP Solution File: GRP417-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP417-1 : TPTP v8.1.2. Released v2.6.0.
% 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 10:41:12 EDT 2023
% Result : Unsatisfiable 70.03s 29.03s
% Output : CNFRefutation 70.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 73 ( 68 unt; 5 typ; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 16 ( 3 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 201 (; 201 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(f_24,axiom,
! [A,B,C] : ( inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C ),
file(unknown,unknown) ).
tff(f_26,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_5,plain,
! [A_4,B_5,C_6] : ( inverse(multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(C_6)))),inverse(multiply(inverse(A_4),A_4)))))) = C_6 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,inverse(C_3)))),inverse(multiply(inverse(A_1),A_1)))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_11,plain,
! [B_5,A_4,B_2,A_1,C_6] : ( multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(C_6)))),inverse(multiply(inverse(A_4),A_4))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6))),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_106,plain,
! [A_12,B_13,C_14] : ( inverse(inverse(multiply(A_12,inverse(multiply(inverse(multiply(inverse(multiply(B_13,A_12)),multiply(B_13,C_14))),inverse(multiply(inverse(A_12),A_12))))))) = C_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_2]) ).
tff(c_151,plain,
! [A_15,B_16,C_17] : ( inverse(multiply(A_15,inverse(multiply(inverse(multiply(inverse(multiply(B_16,A_15)),multiply(B_16,inverse(C_17)))),inverse(multiply(inverse(A_15),A_15)))))) = C_17 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_106]) ).
tff(c_236,plain,
! [A_18,B_19,C_20] : ( multiply(A_18,inverse(multiply(inverse(multiply(inverse(multiply(B_19,A_18)),multiply(B_19,inverse(inverse(C_20))))),inverse(multiply(inverse(A_18),A_18))))) = C_20 ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_11]) ).
tff(c_136,plain,
! [A_4,B_5,C_6] : ( inverse(multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(C_6)))),inverse(multiply(inverse(A_4),A_4)))))) = C_6 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_106]) ).
tff(c_329,plain,
! [B_21,A_22,C_23,A_24] : ( multiply(inverse(multiply(inverse(multiply(B_21,A_22)),multiply(B_21,inverse(inverse(C_23))))),inverse(multiply(inverse(A_22),A_22))) = inverse(multiply(A_24,inverse(multiply(inverse(multiply(inverse(multiply(A_22,A_24)),C_23)),inverse(multiply(inverse(A_24),A_24)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_136]) ).
tff(c_32,plain,
! [A_1,B_2,C_3] : ( inverse(inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_3))),inverse(multiply(inverse(A_1),A_1))))))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_11,c_2]) ).
tff(c_413,plain,
! [B_21,A_22,C_3] : ( inverse(multiply(inverse(multiply(inverse(multiply(B_21,A_22)),multiply(B_21,inverse(inverse(multiply(A_22,C_3)))))),inverse(multiply(inverse(A_22),A_22)))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_329,c_32]) ).
tff(c_190,plain,
! [A_4,B_5,C_17] : ( multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(inverse(C_17))))),inverse(multiply(inverse(A_4),A_4))))) = C_17 ),
inference(superposition,[status(thm),theory(equality)],[c_151,c_11]) ).
tff(c_578,plain,
! [B_5,B_2,A_1,C_6,B_21] : ( multiply(inverse(multiply(inverse(multiply(B_21,B_5)),multiply(B_21,inverse(inverse(multiply(B_5,inverse(C_6))))))),inverse(multiply(inverse(B_5),B_5))) = inverse(inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6))),inverse(multiply(inverse(A_1),A_1))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_329]) ).
tff(c_1125,plain,
! [B_32,B_33,C_34] : ( multiply(inverse(multiply(inverse(multiply(B_32,B_33)),multiply(B_32,inverse(inverse(multiply(B_33,inverse(C_34))))))),inverse(multiply(inverse(B_33),B_33))) = C_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_578]) ).
tff(c_1227,plain,
! [B_33,B_5,C_34,A_4,A_1,B_32] : ( multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(B_5,A_4)),multiply(B_5,inverse(inverse(multiply(inverse(B_33),B_33)))))),inverse(multiply(inverse(A_4),A_4))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B_32,B_33)),multiply(B_32,inverse(inverse(multiply(B_33,inverse(C_34))))))),A_1)),C_34)),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1125,c_11]) ).
tff(c_6962,plain,
! [A_69,B_70,B_71,C_72] : ( inverse(multiply(A_69,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B_70,B_71)),multiply(B_70,inverse(inverse(multiply(B_71,inverse(C_72))))))),A_69)),C_72)),inverse(multiply(inverse(A_69),A_69)))))) = multiply(inverse(B_71),B_71) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_1227]) ).
tff(c_7435,plain,
! [A_22,C_72] : ( inverse(multiply(inverse(multiply(inverse(A_22),A_22)),inverse(multiply(inverse(multiply(inverse(C_72),C_72)),inverse(multiply(inverse(inverse(multiply(inverse(A_22),A_22))),inverse(multiply(inverse(A_22),A_22)))))))) = multiply(inverse(A_22),A_22) ),
inference(superposition,[status(thm),theory(equality)],[c_413,c_6962]) ).
tff(c_450,plain,
! [A_24,C_23,B_2,A_1,A_22] : ( multiply(A_22,inverse(inverse(multiply(A_24,inverse(multiply(inverse(multiply(inverse(multiply(A_22,A_24)),C_23)),inverse(multiply(inverse(A_24),A_24)))))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,inverse(C_23)))),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_329,c_11]) ).
tff(c_938,plain,
! [A_29,A_30,C_31] : ( multiply(A_29,inverse(inverse(multiply(A_30,inverse(multiply(inverse(multiply(inverse(multiply(A_29,A_30)),C_31)),inverse(multiply(inverse(A_30),A_30)))))))) = C_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_11,c_450]) ).
tff(c_579,plain,
! [A_22,A_24,C_23] : ( multiply(A_22,inverse(inverse(multiply(A_24,inverse(multiply(inverse(multiply(inverse(multiply(A_22,A_24)),C_23)),inverse(multiply(inverse(A_24),A_24)))))))) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_11,c_450]) ).
tff(c_11658,plain,
! [A_88,A_89,C_90,A_91] : ( multiply(A_88,inverse(inverse(multiply(A_89,inverse(multiply(inverse(C_90),inverse(multiply(inverse(A_89),A_89)))))))) = inverse(inverse(multiply(A_91,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A_88,A_89)),A_91)),C_90)),inverse(multiply(inverse(A_91),A_91))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_938,c_579]) ).
tff(c_13047,plain,
! [A_92,A_93,C_94] : ( multiply(inverse(multiply(A_92,A_93)),multiply(A_92,inverse(inverse(multiply(A_93,inverse(multiply(inverse(C_94),inverse(multiply(inverse(A_93),A_93))))))))) = C_94 ),
inference(superposition,[status(thm),theory(equality)],[c_11658,c_579]) ).
tff(c_15785,plain,
! [A_104,A_105,C_106] : ( multiply(inverse(multiply(A_104,inverse(multiply(inverse(A_105),A_105)))),multiply(A_104,inverse(multiply(inverse(A_105),A_105)))) = multiply(inverse(C_106),C_106) ),
inference(superposition,[status(thm),theory(equality)],[c_7435,c_13047]) ).
tff(c_13415,plain,
! [A_92,A_22,C_72] : ( multiply(inverse(multiply(A_92,inverse(multiply(inverse(A_22),A_22)))),multiply(A_92,inverse(multiply(inverse(A_22),A_22)))) = multiply(inverse(C_72),C_72) ),
inference(superposition,[status(thm),theory(equality)],[c_7435,c_13047]) ).
tff(c_15811,plain,
! [C_72,C_106] : ( multiply(inverse(C_72),C_72) = multiply(inverse(C_106),C_106) ),
inference(superposition,[status(thm),theory(equality)],[c_15785,c_13415]) ).
tff(c_17176,plain,
! [C_108,C_107] : ( multiply(inverse(C_108),C_108) = multiply(inverse(C_107),C_107) ),
inference(superposition,[status(thm),theory(equality)],[c_15785,c_13415]) ).
tff(c_31074,plain,
! [C_145,C_146] : ( inverse(multiply(inverse(C_145),inverse(multiply(inverse(multiply(inverse(C_146),C_146)),inverse(multiply(inverse(inverse(C_145)),inverse(C_145))))))) = C_145 ),
inference(superposition,[status(thm),theory(equality)],[c_17176,c_136]) ).
tff(c_31789,plain,
! [C_145,C_146,C_72] : ( inverse(multiply(inverse(C_145),inverse(multiply(inverse(multiply(inverse(C_146),C_146)),inverse(multiply(inverse(C_72),C_72)))))) = C_145 ),
inference(superposition,[status(thm),theory(equality)],[c_15811,c_31074]) ).
tff(c_32270,plain,
! [C_147,C_148,C_149] : ( inverse(multiply(inverse(C_147),inverse(multiply(inverse(multiply(inverse(C_148),C_148)),inverse(multiply(inverse(C_149),C_149)))))) = C_147 ),
inference(superposition,[status(thm),theory(equality)],[c_15811,c_31074]) ).
tff(c_32287,plain,
! [C_145,C_146,C_148,C_149] : ( inverse(multiply(inverse(C_145),inverse(multiply(inverse(multiply(inverse(C_146),C_146)),inverse(multiply(inverse(multiply(inverse(C_148),C_148)),inverse(multiply(inverse(C_149),C_149)))))))) = C_145 ),
inference(superposition,[status(thm),theory(equality)],[c_32270,c_31789]) ).
tff(c_36293,plain,
! [C_158,C_159] : ( inverse(multiply(inverse(C_158),multiply(inverse(C_159),C_159))) = C_158 ),
inference(demodulation,[status(thm),theory(equality)],[c_31789,c_32287]) ).
tff(c_38734,plain,
! [C_164,C_165] : ( multiply(inverse(C_164),C_164) = inverse(multiply(inverse(C_165),C_165)) ),
inference(superposition,[status(thm),theory(equality)],[c_15811,c_36293]) ).
tff(c_33489,plain,
! [C_145,C_146] : ( inverse(multiply(inverse(C_145),multiply(inverse(C_146),C_146))) = C_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_31789,c_32287]) ).
tff(c_38786,plain,
! [C_145,C_165] : ( inverse(multiply(inverse(C_145),inverse(multiply(inverse(C_165),C_165)))) = C_145 ),
inference(superposition,[status(thm),theory(equality)],[c_38734,c_33489]) ).
tff(c_19135,plain,
! [C_111,B_112,C_113,C_114] : ( inverse(inverse(multiply(C_111,inverse(multiply(inverse(multiply(inverse(multiply(B_112,C_111)),multiply(B_112,C_113))),inverse(multiply(inverse(C_114),C_114))))))) = C_113 ),
inference(superposition,[status(thm),theory(equality)],[c_17176,c_32]) ).
tff(c_19418,plain,
! [C_111,C_106,C_114] : ( inverse(inverse(multiply(C_111,inverse(multiply(inverse(multiply(inverse(C_106),C_106)),inverse(multiply(inverse(C_114),C_114))))))) = C_111 ),
inference(superposition,[status(thm),theory(equality)],[c_15811,c_19135]) ).
tff(c_32467,plain,
! [C_111,C_106,C_148,C_149] : ( inverse(inverse(multiply(C_111,inverse(multiply(inverse(multiply(inverse(C_106),C_106)),inverse(multiply(inverse(multiply(inverse(C_148),C_148)),inverse(multiply(inverse(C_149),C_149))))))))) = C_111 ),
inference(superposition,[status(thm),theory(equality)],[c_32270,c_19418]) ).
tff(c_33518,plain,
! [C_111,C_106] : ( inverse(inverse(multiply(C_111,multiply(inverse(C_106),C_106)))) = C_111 ),
inference(demodulation,[status(thm),theory(equality)],[c_31789,c_32467]) ).
tff(c_33,plain,
! [B_7,C_8,A_10,B_9,A_11] : ( multiply(A_11,inverse(multiply(inverse(multiply(inverse(multiply(B_7,A_11)),multiply(B_7,inverse(C_8)))),inverse(multiply(inverse(A_11),A_11))))) = inverse(multiply(A_10,inverse(multiply(inverse(multiply(inverse(multiply(B_9,A_10)),multiply(B_9,C_8))),inverse(multiply(inverse(A_10),A_10)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_96,plain,
! [A_10,B_2,A_1,C_6,B_9] : ( inverse(multiply(A_10,inverse(multiply(inverse(multiply(inverse(multiply(B_9,A_10)),multiply(B_9,C_6))),inverse(multiply(inverse(A_10),A_10)))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6))),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_33]) ).
tff(c_13391,plain,
! [A_10,B_2,A_1,A_92,C_6,B_9] : ( multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6)) = multiply(inverse(multiply(A_92,A_1)),multiply(A_92,inverse(inverse(multiply(A_10,inverse(multiply(inverse(multiply(inverse(multiply(B_9,A_10)),multiply(B_9,C_6))),inverse(multiply(inverse(A_10),A_10))))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_13047]) ).
tff(c_13705,plain,
! [B_2,A_1,C_6,A_92] : ( multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6)) = multiply(inverse(multiply(A_92,A_1)),multiply(A_92,C_6)) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_13391]) ).
tff(c_17260,plain,
! [C_108,A_1,C_107,A_92] : ( multiply(inverse(multiply(inverse(C_108),A_1)),multiply(inverse(C_107),C_107)) = multiply(inverse(multiply(A_92,A_1)),multiply(A_92,C_108)) ),
inference(superposition,[status(thm),theory(equality)],[c_17176,c_13705]) ).
tff(c_32370,plain,
! [C_148,C_147,C_108,C_107,C_149] : ( multiply(inverse(multiply(inverse(C_108),inverse(multiply(inverse(multiply(inverse(C_148),C_148)),inverse(multiply(inverse(C_149),C_149)))))),multiply(inverse(C_107),C_107)) = multiply(C_147,multiply(inverse(C_147),C_108)) ),
inference(superposition,[status(thm),theory(equality)],[c_32270,c_17260]) ).
tff(c_50854,plain,
! [C_209,C_210,C_208] : ( multiply(C_209,multiply(inverse(C_210),C_210)) = multiply(C_208,multiply(inverse(C_208),C_209)) ),
inference(demodulation,[status(thm),theory(equality)],[c_31789,c_32370]) ).
tff(c_51367,plain,
! [B_21,C_208,C_209,C_210] : ( inverse(multiply(inverse(multiply(inverse(multiply(B_21,C_208)),multiply(B_21,inverse(inverse(multiply(C_209,multiply(inverse(C_210),C_210))))))),inverse(multiply(inverse(C_208),C_208)))) = multiply(inverse(C_208),C_209) ),
inference(superposition,[status(thm),theory(equality)],[c_50854,c_413]) ).
tff(c_57115,plain,
! [B_233,C_234,C_235] : ( multiply(inverse(multiply(B_233,C_234)),multiply(B_233,C_235)) = multiply(inverse(C_234),C_235) ),
inference(demodulation,[status(thm),theory(equality)],[c_38786,c_33518,c_51367]) ).
tff(c_57239,plain,
! [C_234,C_235] : ( inverse(multiply(inverse(C_234),C_235)) = multiply(inverse(C_235),C_234) ),
inference(superposition,[status(thm),theory(equality)],[c_57115,c_33489]) ).
tff(c_37572,plain,
! [C_160,C_161] : ( inverse(inverse(multiply(C_160,multiply(inverse(C_161),C_161)))) = C_160 ),
inference(demodulation,[status(thm),theory(equality)],[c_31789,c_32467]) ).
tff(c_45946,plain,
! [C_182,C_183] : ( inverse(multiply(inverse(C_182),C_182)) = inverse(inverse(multiply(inverse(C_183),C_183))) ),
inference(superposition,[status(thm),theory(equality)],[c_15811,c_37572]) ).
tff(c_46000,plain,
! [C_145,C_183] : ( inverse(multiply(inverse(C_145),inverse(inverse(multiply(inverse(C_183),C_183))))) = C_145 ),
inference(superposition,[status(thm),theory(equality)],[c_45946,c_38786]) ).
tff(c_57426,plain,
! [C_183,C_145] : ( multiply(multiply(inverse(C_183),C_183),C_145) = C_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_57239,c_57239,c_57239,c_57239,c_46000]) ).
tff(c_57625,plain,
! [C_238,C_239] : ( multiply(multiply(inverse(C_238),C_238),C_239) = C_239 ),
inference(demodulation,[status(thm),theory(equality)],[c_57239,c_57239,c_57239,c_57239,c_46000]) ).
tff(c_51149,plain,
! [C_208,C_145] : ( inverse(multiply(C_208,multiply(inverse(C_208),inverse(C_145)))) = C_145 ),
inference(superposition,[status(thm),theory(equality)],[c_50854,c_33489]) ).
tff(c_57654,plain,
! [C_238,C_145] : ( inverse(multiply(inverse(multiply(inverse(C_238),C_238)),inverse(C_145))) = C_145 ),
inference(superposition,[status(thm),theory(equality)],[c_57625,c_51149]) ).
tff(c_57749,plain,
! [C_145] : ( inverse(inverse(C_145)) = C_145 ),
inference(demodulation,[status(thm),theory(equality)],[c_57426,c_57239,c_57654]) ).
tff(c_33509,plain,
! [C_147,C_108,C_107] : ( multiply(C_147,multiply(inverse(C_147),C_108)) = multiply(C_108,multiply(inverse(C_107),C_107)) ),
inference(demodulation,[status(thm),theory(equality)],[c_31789,c_32370]) ).
tff(c_57722,plain,
! [C_238,C_108,C_107] : ( multiply(inverse(multiply(inverse(C_238),C_238)),C_108) = multiply(C_108,multiply(inverse(C_107),C_107)) ),
inference(superposition,[status(thm),theory(equality)],[c_33509,c_57625]) ).
tff(c_57760,plain,
! [C_108,C_107] : ( multiply(C_108,multiply(inverse(C_107),C_107)) = C_108 ),
inference(demodulation,[status(thm),theory(equality)],[c_57426,c_57239,c_57722]) ).
tff(c_58513,plain,
! [C_147,C_108] : ( multiply(C_147,multiply(inverse(C_147),C_108)) = C_108 ),
inference(demodulation,[status(thm),theory(equality)],[c_57760,c_33509]) ).
tff(c_51741,plain,
! [B_21,C_208,C_209] : ( multiply(inverse(multiply(B_21,C_208)),multiply(B_21,C_209)) = multiply(inverse(C_208),C_209) ),
inference(demodulation,[status(thm),theory(equality)],[c_38786,c_33518,c_51367]) ).
tff(c_37149,plain,
! [A_4,C_6,A_1,B_2] : ( multiply(A_4,inverse(multiply(multiply(inverse(inverse(C_6)),A_4),inverse(multiply(inverse(A_4),A_4))))) = inverse(multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(B_2,A_1)),multiply(B_2,C_6))),inverse(multiply(inverse(A_1),A_1)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_36293,c_11]) ).
tff(c_60837,plain,
! [A_277,C_278] : ( multiply(A_277,inverse(multiply(C_278,A_277))) = inverse(C_278) ),
inference(demodulation,[status(thm),theory(equality)],[c_58513,c_57239,c_57760,c_57760,c_57749,c_57239,c_57239,c_57239,c_51741,c_37149]) ).
tff(c_60886,plain,
! [C_278,A_277,C_209] : ( multiply(inverse(inverse(multiply(C_278,A_277))),C_209) = multiply(inverse(inverse(C_278)),multiply(A_277,C_209)) ),
inference(superposition,[status(thm),theory(equality)],[c_60837,c_51741]) ).
tff(c_60975,plain,
! [C_278,A_277,C_209] : ( multiply(multiply(C_278,A_277),C_209) = multiply(C_278,multiply(A_277,C_209)) ),
inference(demodulation,[status(thm),theory(equality)],[c_57749,c_57749,c_60886]) ).
tff(c_4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_67514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60975,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP417-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % 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
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 22:10:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 70.03/29.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.13/29.05
% 70.13/29.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 70.13/29.09
% 70.13/29.09 Inference rules
% 70.13/29.09 ----------------------
% 70.13/29.09 #Ref : 0
% 70.13/29.09 #Sup : 19286
% 70.13/29.09 #Fact : 0
% 70.13/29.09 #Define : 0
% 70.13/29.09 #Split : 0
% 70.13/29.09 #Chain : 0
% 70.13/29.09 #Close : 0
% 70.13/29.09
% 70.13/29.09 Ordering : KBO
% 70.13/29.09
% 70.13/29.09 Simplification rules
% 70.13/29.09 ----------------------
% 70.13/29.09 #Subsume : 1376
% 70.13/29.09 #Demod : 11929
% 70.13/29.09 #Tautology : 2314
% 70.13/29.09 #SimpNegUnit : 0
% 70.13/29.09 #BackRed : 64
% 70.13/29.09
% 70.13/29.09 #Partial instantiations: 0
% 70.13/29.09 #Strategies tried : 1
% 70.13/29.09
% 70.13/29.09 Timing (in seconds)
% 70.13/29.09 ----------------------
% 70.13/29.09 Preprocessing : 0.39
% 70.13/29.09 Parsing : 0.21
% 70.13/29.09 CNF conversion : 0.02
% 70.13/29.09 Main loop : 27.59
% 70.13/29.09 Inferencing : 7.92
% 70.13/29.09 Reduction : 16.88
% 70.13/29.09 Demodulation : 16.25
% 70.13/29.09 BG Simplification : 1.09
% 70.13/29.09 Subsumption : 0.92
% 70.13/29.09 Abstraction : 2.29
% 70.13/29.09 MUC search : 0.00
% 70.13/29.09 Cooper : 0.00
% 70.13/29.09 Total : 28.05
% 70.13/29.09 Index Insertion : 0.00
% 70.13/29.09 Index Deletion : 0.00
% 70.13/29.09 Index Matching : 0.00
% 70.13/29.09 BG Taut test : 0.00
%------------------------------------------------------------------------------