TSTP Solution File: GRP583-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP583-1 : 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 : n013.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 10:41:34 EDT 2023
% Result : Unsatisfiable 30.74s 20.32s
% Output : CNFRefutation 30.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 12
% Syntax : Number of formulae : 134 ( 127 unt; 7 typ; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 225 (; 225 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > 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(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(identity,type,
identity: $i ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_28,plain,
! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_52,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
tff(c_37,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(identity,B_2),double_divide(C_3,double_divide(B_2,A_1)))),double_divide(identity,identity)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_236,plain,
! [A_21,B_22,C_23] : ( double_divide(double_divide(A_21,double_divide(double_divide(identity,B_22),double_divide(C_23,double_divide(B_22,A_21)))),inverse(identity)) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_903,plain,
! [A_41,C_42] : ( double_divide(double_divide(identity,double_divide(double_divide(identity,A_41),double_divide(C_42,inverse(A_41)))),inverse(identity)) = C_42 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_983,plain,
! [A_7] : ( double_divide(double_divide(identity,double_divide(double_divide(identity,A_7),identity)),inverse(identity)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_903]) ).
tff(c_1002,plain,
! [A_43] : ( double_divide(double_divide(identity,multiply(A_43,identity)),inverse(identity)) = A_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_983]) ).
tff(c_1045,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm),theory(equality)],[c_57,c_1002]) ).
tff(c_1052,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_1045]) ).
tff(c_65,plain,
! [B_13,A_14] : ( inverse(double_divide(B_13,A_14)) = multiply(A_14,B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_83,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_283,plain,
! [A_7,C_23] : ( double_divide(double_divide(inverse(A_7),double_divide(double_divide(identity,A_7),double_divide(C_23,identity))),inverse(identity)) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_427,plain,
! [A_29,C_30] : ( double_divide(double_divide(inverse(A_29),double_divide(double_divide(identity,A_29),inverse(C_30))),inverse(identity)) = C_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_283]) ).
tff(c_479,plain,
! [A_29] : ( double_divide(double_divide(inverse(A_29),identity),inverse(identity)) = double_divide(identity,A_29) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_427]) ).
tff(c_485,plain,
! [A_29] : ( double_divide(multiply(identity,A_29),inverse(identity)) = double_divide(identity,A_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_479]) ).
tff(c_1783,plain,
! [A_61] : ( double_divide(multiply(identity,A_61),identity) = double_divide(identity,A_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_485]) ).
tff(c_1810,plain,
! [A_61] : ( inverse(multiply(identity,A_61)) = double_divide(identity,A_61) ),
inference(superposition,[status(thm),theory(equality)],[c_1783,c_6]) ).
tff(c_115,plain,
! [A_16] : ( double_divide(inverse(A_16),identity) = multiply(identity,A_16) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_4,plain,
! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_124,plain,
! [A_16] : ( multiply(identity,inverse(A_16)) = double_divide(multiply(identity,A_16),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_115,c_4]) ).
tff(c_141,plain,
! [A_16] : ( multiply(identity,inverse(A_16)) = inverse(multiply(identity,A_16)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_124]) ).
tff(c_1949,plain,
! [A_16] : ( multiply(identity,inverse(A_16)) = double_divide(identity,A_16) ),
inference(demodulation,[status(thm),theory(equality)],[c_1810,c_141]) ).
tff(c_688,plain,
! [A_37,C_38] : ( double_divide(double_divide(A_37,double_divide(inverse(identity),double_divide(C_38,double_divide(identity,A_37)))),inverse(identity)) = C_38 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_720,plain,
! [C_38] : ( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(C_38,inverse(identity)))),inverse(identity)) = C_38 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_688]) ).
tff(c_1056,plain,
! [C_38] : ( double_divide(double_divide(identity,double_divide(identity,double_divide(C_38,identity))),identity) = C_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_1052,c_1052,c_720]) ).
tff(c_1069,plain,
! [C_38] : ( multiply(double_divide(identity,inverse(C_38)),identity) = C_38 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_6,c_1056]) ).
tff(c_1000,plain,
! [A_7] : ( double_divide(double_divide(identity,multiply(A_7,identity)),inverse(identity)) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_983]) ).
tff(c_1374,plain,
! [A_52] : ( double_divide(double_divide(identity,multiply(A_52,identity)),identity) = A_52 ),
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_1000]) ).
tff(c_1404,plain,
! [C_38] : ( double_divide(double_divide(identity,C_38),identity) = double_divide(identity,inverse(C_38)) ),
inference(superposition,[status(thm),theory(equality)],[c_1069,c_1374]) ).
tff(c_1626,plain,
! [C_58] : ( double_divide(identity,inverse(C_58)) = multiply(C_58,identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_1404]) ).
tff(c_1653,plain,
! [C_58] : ( multiply(inverse(C_58),identity) = inverse(multiply(C_58,identity)) ),
inference(superposition,[status(thm),theory(equality)],[c_1626,c_37]) ).
tff(c_1395,plain,
! [A_52] : ( multiply(multiply(A_52,identity),identity) = A_52 ),
inference(superposition,[status(thm),theory(equality)],[c_1374,c_4]) ).
tff(c_74,plain,
! [B_13,A_14] : ( double_divide(double_divide(B_13,A_14),multiply(A_14,B_13)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_65,c_8]) ).
tff(c_1423,plain,
! [C_38] : ( double_divide(identity,inverse(C_38)) = multiply(C_38,identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_1404]) ).
tff(c_289,plain,
! [A_7,C_23] : ( double_divide(double_divide(inverse(A_7),double_divide(double_divide(identity,A_7),inverse(C_23))),inverse(identity)) = C_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_283]) ).
tff(c_695,plain,
! [C_38] : ( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(C_38,double_divide(identity,identity)))),C_38),inverse(identity)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_688,c_289]) ).
tff(c_726,plain,
! [C_38] : ( double_divide(double_divide(multiply(double_divide(C_38,inverse(identity)),inverse(identity)),C_38),inverse(identity)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_695]) ).
tff(c_3263,plain,
! [C_84] : ( multiply(C_84,inverse(multiply(C_84,identity))) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_1653,c_37,c_6,c_1052,c_1052,c_6,c_1052,c_726]) ).
tff(c_3783,plain,
! [C_90] : ( double_divide(double_divide(inverse(multiply(C_90,identity)),C_90),identity) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_3263,c_74]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(identity,B_2),double_divide(C_3,double_divide(B_2,A_1)))),inverse(identity)) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_254,plain,
! [A_1,B_2,C_3,C_23] : ( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(A_1,double_divide(double_divide(identity,B_2),double_divide(C_3,double_divide(B_2,A_1))))),double_divide(C_23,C_3))),inverse(identity)) = C_23 ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_236]) ).
tff(c_1834,plain,
! [A_62,B_63,C_64,C_65] : ( multiply(double_divide(double_divide(identity,double_divide(A_62,double_divide(double_divide(identity,B_63),double_divide(C_64,double_divide(B_63,A_62))))),double_divide(C_65,C_64)),identity) = C_65 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_1052,c_1052,c_254]) ).
tff(c_1919,plain,
! [A_6,C_64,C_65] : ( multiply(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,A_6),double_divide(C_64,inverse(A_6))))),double_divide(C_65,C_64)),identity) = C_65 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1834]) ).
tff(c_3788,plain,
! [A_6,C_90] : ( multiply(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,A_6),double_divide(identity,inverse(A_6))))),identity),identity) = double_divide(inverse(multiply(C_90,identity)),C_90) ),
inference(superposition,[status(thm),theory(equality)],[c_3783,c_1919]) ).
tff(c_3906,plain,
! [C_91] : ( double_divide(inverse(multiply(C_91,identity)),C_91) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_6,c_74,c_1423,c_1395,c_37,c_6,c_3788]) ).
tff(c_80,plain,
! [B_5,A_4] : ( multiply(identity,double_divide(B_5,A_4)) = inverse(multiply(A_4,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_251,plain,
! [A_21,B_22,C_23] : ( multiply(inverse(identity),double_divide(A_21,double_divide(double_divide(identity,B_22),double_divide(C_23,double_divide(B_22,A_21))))) = double_divide(C_23,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_4]) ).
tff(c_285,plain,
! [A_21,B_22,C_23] : ( multiply(inverse(identity),double_divide(A_21,double_divide(double_divide(identity,B_22),double_divide(C_23,double_divide(B_22,A_21))))) = inverse(C_23) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_251]) ).
tff(c_1138,plain,
! [B_44,C_45,A_46] : ( inverse(multiply(double_divide(double_divide(identity,B_44),double_divide(C_45,double_divide(B_44,A_46))),A_46)) = inverse(C_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_1052,c_285]) ).
tff(c_1184,plain,
! [A_6,C_45] : ( inverse(multiply(double_divide(double_divide(identity,A_6),double_divide(C_45,inverse(A_6))),identity)) = inverse(C_45) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1138]) ).
tff(c_3954,plain,
! [A_6] : ( inverse(multiply(double_divide(double_divide(identity,A_6),identity),identity)) = inverse(inverse(multiply(inverse(A_6),identity))) ),
inference(superposition,[status(thm),theory(equality)],[c_3906,c_1184]) ).
tff(c_4044,plain,
! [A_6] : ( double_divide(identity,multiply(A_6,identity)) = inverse(A_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_1949,c_1653,c_1395,c_83,c_37,c_6,c_3954]) ).
tff(c_1417,plain,
! [A_52] : ( inverse(double_divide(identity,multiply(A_52,identity))) = A_52 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1374]) ).
tff(c_4065,plain,
! [A_52] : ( inverse(inverse(A_52)) = A_52 ),
inference(demodulation,[status(thm),theory(equality)],[c_4044,c_1417]) ).
tff(c_4198,plain,
! [A_6] : ( multiply(identity,A_6) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_83]) ).
tff(c_486,plain,
! [A_31] : ( double_divide(multiply(identity,A_31),inverse(identity)) = double_divide(identity,A_31) ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_479]) ).
tff(c_504,plain,
! [A_31] : ( multiply(inverse(identity),multiply(identity,A_31)) = inverse(double_divide(identity,A_31)) ),
inference(superposition,[status(thm),theory(equality)],[c_486,c_37]) ).
tff(c_519,plain,
! [A_31] : ( multiply(inverse(identity),multiply(identity,A_31)) = multiply(A_31,identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_504]) ).
tff(c_1062,plain,
! [A_31] : ( multiply(identity,multiply(identity,A_31)) = multiply(A_31,identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_519]) ).
tff(c_4288,plain,
! [A_31] : ( multiply(A_31,identity) = A_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_4198,c_4198,c_1062]) ).
tff(c_4362,plain,
! [A_6] : ( double_divide(identity,A_6) = inverse(A_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_4288,c_4044]) ).
tff(c_713,plain,
! [A_37,C_38] : ( multiply(inverse(identity),double_divide(A_37,double_divide(inverse(identity),double_divide(C_38,double_divide(identity,A_37))))) = double_divide(C_38,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_688,c_4]) ).
tff(c_727,plain,
! [A_37,C_38] : ( multiply(inverse(identity),double_divide(A_37,double_divide(inverse(identity),double_divide(C_38,double_divide(identity,A_37))))) = inverse(C_38) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_713]) ).
tff(c_5840,plain,
! [A_126,C_127] : ( double_divide(A_126,multiply(inverse(A_126),C_127)) = inverse(C_127) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_4362,c_4362,c_4198,c_1052,c_1052,c_727]) ).
tff(c_5879,plain,
! [A_126,C_127] : ( multiply(multiply(inverse(A_126),C_127),A_126) = inverse(inverse(C_127)) ),
inference(superposition,[status(thm),theory(equality)],[c_5840,c_37]) ).
tff(c_5935,plain,
! [A_128,C_129] : ( multiply(multiply(inverse(A_128),C_129),A_128) = C_129 ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_5879]) ).
tff(c_5985,plain,
! [A_52,C_129] : ( multiply(multiply(A_52,C_129),inverse(A_52)) = C_129 ),
inference(superposition,[status(thm),theory(equality)],[c_4065,c_5935]) ).
tff(c_1922,plain,
! [A_62,B_63,A_6] : ( multiply(double_divide(double_divide(identity,double_divide(A_62,double_divide(double_divide(identity,B_63),double_divide(identity,double_divide(B_63,A_62))))),inverse(A_6)),identity) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1834]) ).
tff(c_4879,plain,
! [B_103,A_104,A_105] : ( double_divide(multiply(double_divide(inverse(B_103),multiply(A_104,B_103)),A_104),inverse(A_105)) = A_105 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_4362,c_37,c_4362,c_4288,c_4362,c_1922]) ).
tff(c_4948,plain,
! [B_103,A_104] : ( multiply(double_divide(inverse(B_103),multiply(A_104,B_103)),A_104) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_4879]) ).
tff(c_6009,plain,
! [A_130,C_131] : ( multiply(multiply(A_130,C_131),inverse(A_130)) = C_131 ),
inference(superposition,[status(thm),theory(equality)],[c_4065,c_5935]) ).
tff(c_6054,plain,
! [B_103,A_104] : ( multiply(identity,inverse(double_divide(inverse(B_103),multiply(A_104,B_103)))) = A_104 ),
inference(superposition,[status(thm),theory(equality)],[c_4948,c_6009]) ).
tff(c_6096,plain,
! [A_132,B_133] : ( multiply(multiply(A_132,B_133),inverse(B_133)) = A_132 ),
inference(demodulation,[status(thm),theory(equality)],[c_4198,c_37,c_6054]) ).
tff(c_6140,plain,
! [C_129,A_52] : ( multiply(C_129,inverse(inverse(A_52))) = multiply(A_52,C_129) ),
inference(superposition,[status(thm),theory(equality)],[c_5985,c_6096]) ).
tff(c_6197,plain,
! [C_129,A_52] : ( multiply(C_129,A_52) = multiply(A_52,C_129) ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_6140]) ).
tff(c_933,plain,
! [A_41,C_42] : ( multiply(inverse(identity),double_divide(identity,double_divide(double_divide(identity,A_41),double_divide(C_42,inverse(A_41))))) = double_divide(C_42,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_903,c_4]) ).
tff(c_987,plain,
! [A_41,C_42] : ( multiply(inverse(identity),double_divide(identity,double_divide(double_divide(identity,A_41),double_divide(C_42,inverse(A_41))))) = inverse(C_42) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_933]) ).
tff(c_5299,plain,
! [C_114,A_115] : ( multiply(double_divide(C_114,inverse(A_115)),inverse(A_115)) = inverse(C_114) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_4362,c_4362,c_4198,c_1052,c_987]) ).
tff(c_5340,plain,
! [C_114,A_52] : ( multiply(double_divide(C_114,A_52),inverse(inverse(A_52))) = inverse(C_114) ),
inference(superposition,[status(thm),theory(equality)],[c_4065,c_5299]) ).
tff(c_5376,plain,
! [C_116,A_117] : ( multiply(double_divide(C_116,A_117),A_117) = inverse(C_116) ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_5340]) ).
tff(c_4295,plain,
! [A_4,B_5] : ( inverse(multiply(A_4,B_5)) = double_divide(B_5,A_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_4198,c_80]) ).
tff(c_5385,plain,
! [A_117,C_116] : ( double_divide(A_117,double_divide(C_116,A_117)) = inverse(inverse(C_116)) ),
inference(superposition,[status(thm),theory(equality)],[c_5376,c_4295]) ).
tff(c_5455,plain,
! [A_118,C_119] : ( double_divide(A_118,double_divide(C_119,A_118)) = C_119 ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_5385]) ).
tff(c_5440,plain,
! [A_117,C_116] : ( double_divide(A_117,double_divide(C_116,A_117)) = C_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_5385]) ).
tff(c_5458,plain,
! [C_119,A_118] : ( double_divide(double_divide(C_119,A_118),C_119) = A_118 ),
inference(superposition,[status(thm),theory(equality)],[c_5455,c_5440]) ).
tff(c_11121,plain,
! [A_187,C_188] : ( double_divide(multiply(inverse(A_187),C_188),inverse(C_188)) = A_187 ),
inference(superposition,[status(thm),theory(equality)],[c_5840,c_5440]) ).
tff(c_5368,plain,
! [C_114,A_52] : ( multiply(double_divide(C_114,A_52),A_52) = inverse(C_114) ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_5340]) ).
tff(c_11181,plain,
! [A_187,C_188] : ( inverse(multiply(inverse(A_187),C_188)) = multiply(A_187,inverse(C_188)) ),
inference(superposition,[status(thm),theory(equality)],[c_11121,c_5368]) ).
tff(c_11301,plain,
! [A_187,C_188] : ( multiply(A_187,inverse(C_188)) = double_divide(C_188,inverse(A_187)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4295,c_11181]) ).
tff(c_5926,plain,
! [A_126,C_127] : ( multiply(multiply(inverse(A_126),C_127),A_126) = C_127 ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_5879]) ).
tff(c_6147,plain,
! [A_126,C_127] : ( multiply(inverse(A_126),C_127) = multiply(C_127,inverse(A_126)) ),
inference(superposition,[status(thm),theory(equality)],[c_5926,c_6096]) ).
tff(c_13003,plain,
! [A_126,C_127] : ( multiply(inverse(A_126),C_127) = double_divide(A_126,inverse(C_127)) ),
inference(demodulation,[status(thm),theory(equality)],[c_11301,c_6147]) ).
tff(c_9633,plain,
! [A_173,C_174] : ( double_divide(inverse(A_173),multiply(A_173,C_174)) = inverse(C_174) ),
inference(superposition,[status(thm),theory(equality)],[c_4065,c_5840]) ).
tff(c_9754,plain,
! [B_103,A_104] : ( double_divide(inverse(double_divide(inverse(B_103),multiply(A_104,B_103))),identity) = inverse(A_104) ),
inference(superposition,[status(thm),theory(equality)],[c_4948,c_9633]) ).
tff(c_10080,plain,
! [B_177,A_178] : ( double_divide(inverse(B_177),multiply(A_178,B_177)) = inverse(A_178) ),
inference(demodulation,[status(thm),theory(equality)],[c_4295,c_6,c_37,c_9754]) ).
tff(c_10213,plain,
! [A_52,C_114] : ( double_divide(inverse(A_52),inverse(C_114)) = inverse(double_divide(C_114,A_52)) ),
inference(superposition,[status(thm),theory(equality)],[c_5368,c_10080]) ).
tff(c_10278,plain,
! [A_52,C_114] : ( double_divide(inverse(A_52),inverse(C_114)) = multiply(A_52,C_114) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_10213]) ).
tff(c_1067,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(identity,B_2),double_divide(C_3,double_divide(B_2,A_1)))),identity) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_1052,c_11]) ).
tff(c_15370,plain,
! [A_223,B_224,C_225] : ( multiply(A_223,double_divide(inverse(B_224),double_divide(C_225,double_divide(B_224,A_223)))) = C_225 ),
inference(demodulation,[status(thm),theory(equality)],[c_6197,c_37,c_6,c_4362,c_1067]) ).
tff(c_15490,plain,
! [C_114,A_52,C_225] : ( multiply(inverse(C_114),double_divide(inverse(inverse(A_52)),double_divide(C_225,multiply(A_52,C_114)))) = C_225 ),
inference(superposition,[status(thm),theory(equality)],[c_10278,c_15370]) ).
tff(c_32316,plain,
! [C_323,A_324,C_325] : ( double_divide(C_323,multiply(A_324,double_divide(C_325,multiply(A_324,C_323)))) = C_325 ),
inference(demodulation,[status(thm),theory(equality)],[c_6197,c_37,c_13003,c_4065,c_15490]) ).
tff(c_113552,plain,
! [A_566,C_567,A_568] : ( double_divide(multiply(A_566,C_567),A_568) = double_divide(C_567,multiply(A_566,A_568)) ),
inference(superposition,[status(thm),theory(equality)],[c_5458,c_32316]) ).
tff(c_119000,plain,
! [C_581,A_582,A_583] : ( double_divide(double_divide(C_581,multiply(A_582,A_583)),identity) = multiply(A_583,multiply(A_582,C_581)) ),
inference(superposition,[status(thm),theory(equality)],[c_113552,c_4]) ).
tff(c_119808,plain,
! [A_582,A_583,B_5] : ( multiply(multiply(A_582,A_583),B_5) = multiply(A_583,multiply(A_582,B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_119000]) ).
tff(c_5994,plain,
! [A_11,B_10,C_129] : ( multiply(multiply(multiply(A_11,B_10),C_129),double_divide(B_10,A_11)) = C_129 ),
inference(superposition,[status(thm),theory(equality)],[c_37,c_5935]) ).
tff(c_6027,plain,
! [A_130,C_131] : ( multiply(double_divide(inverse(inverse(A_130)),C_131),multiply(A_130,C_131)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_6009,c_4948]) ).
tff(c_6082,plain,
! [A_130,C_131] : ( multiply(double_divide(A_130,C_131),multiply(A_130,C_131)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_4065,c_6027]) ).
tff(c_18052,plain,
! [B_242,A_243,C_244] : ( multiply(multiply(double_divide(B_242,A_243),C_244),multiply(A_243,B_242)) = C_244 ),
inference(superposition,[status(thm),theory(equality)],[c_4295,c_5935]) ).
tff(c_18228,plain,
! [C_131,A_130] : ( multiply(identity,multiply(C_131,A_130)) = multiply(A_130,C_131) ),
inference(superposition,[status(thm),theory(equality)],[c_6082,c_18052]) ).
tff(c_25859,plain,
! [A_291,B_292,A_293] : ( multiply(multiply(A_291,double_divide(B_292,A_293)),multiply(A_293,B_292)) = A_291 ),
inference(superposition,[status(thm),theory(equality)],[c_37,c_6096]) ).
tff(c_26078,plain,
! [A_291,C_131,A_130] : ( multiply(multiply(A_291,double_divide(multiply(C_131,A_130),identity)),multiply(A_130,C_131)) = A_291 ),
inference(superposition,[status(thm),theory(equality)],[c_18228,c_25859]) ).
tff(c_28246,plain,
! [A_303,C_304,A_305] : ( multiply(multiply(A_303,C_304),multiply(A_305,double_divide(A_303,C_304))) = A_305 ),
inference(demodulation,[status(thm),theory(equality)],[c_6197,c_4295,c_6,c_26078]) ).
tff(c_28503,plain,
! [B_10,A_11,C_129] : ( multiply(multiply(B_10,A_11),C_129) = multiply(multiply(A_11,B_10),C_129) ),
inference(superposition,[status(thm),theory(equality)],[c_5994,c_28246]) ).
tff(c_133279,plain,
! [B_10,A_11,C_129] : ( multiply(B_10,multiply(A_11,C_129)) = multiply(A_11,multiply(B_10,C_129)) ),
inference(demodulation,[status(thm),theory(equality)],[c_119808,c_119808,c_28503]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_6208,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_6197,c_10]) ).
tff(c_133282,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_133279,c_6208]) ).
tff(c_133285,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6197,c_133282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP583-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % 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 : n013.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 22:05:32 EDT 2023
% 0.15/0.36 % CPUTime :
% 30.74/20.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.85/20.34
% 30.85/20.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 30.91/20.39
% 30.91/20.39 Inference rules
% 30.91/20.39 ----------------------
% 30.91/20.39 #Ref : 0
% 30.91/20.39 #Sup : 34352
% 30.91/20.39 #Fact : 0
% 30.91/20.39 #Define : 0
% 30.91/20.39 #Split : 0
% 30.91/20.39 #Chain : 0
% 30.91/20.39 #Close : 0
% 30.91/20.39
% 30.91/20.39 Ordering : KBO
% 30.91/20.39
% 30.91/20.39 Simplification rules
% 30.91/20.39 ----------------------
% 30.91/20.39 #Subsume : 3130
% 30.91/20.39 #Demod : 53824
% 30.91/20.39 #Tautology : 15000
% 30.91/20.39 #SimpNegUnit : 0
% 30.91/20.39 #BackRed : 97
% 30.91/20.39
% 30.91/20.39 #Partial instantiations: 0
% 30.91/20.39 #Strategies tried : 1
% 30.91/20.39
% 30.91/20.39 Timing (in seconds)
% 30.91/20.39 ----------------------
% 30.91/20.40 Preprocessing : 0.42
% 30.91/20.40 Parsing : 0.21
% 30.91/20.40 CNF conversion : 0.02
% 30.91/20.40 Main loop : 18.87
% 30.91/20.40 Inferencing : 2.22
% 30.91/20.40 Reduction : 13.00
% 30.91/20.40 Demodulation : 12.35
% 30.91/20.40 BG Simplification : 0.25
% 30.91/20.40 Subsumption : 2.65
% 30.91/20.40 Abstraction : 0.52
% 30.91/20.40 MUC search : 0.00
% 30.91/20.40 Cooper : 0.00
% 30.91/20.40 Total : 19.38
% 30.91/20.40 Index Insertion : 0.00
% 30.91/20.40 Index Deletion : 0.00
% 30.91/20.40 Index Matching : 0.00
% 30.91/20.40 BG Taut test : 0.00
%------------------------------------------------------------------------------