TSTP Solution File: GRP057-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP057-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 : Thu Aug 31 00:15:04 EDT 2023
% Result : Unsatisfiable 2.54s 2.60s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
inverse: $i > $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
a1: $i ).
tff(decl_25,type,
b1: $i ).
tff(decl_26,type,
b2: $i ).
tff(decl_27,type,
a2: $i ).
tff(decl_28,type,
a3: $i ).
tff(decl_29,type,
b3: $i ).
tff(decl_30,type,
c3: $i ).
cnf(single_axiom,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( 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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_0_2,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(X1)),X3))),X6),inverse(multiply(X5,X6)))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),X5),inverse(multiply(X3,X5))))))) = multiply(inverse(inverse(X2)),X4),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(inverse(X3)),multiply(inverse(X3),X2)),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(inverse(X1),X4))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),multiply(X1,X4)),inverse(multiply(inverse(X5),multiply(X5,X4)))))) = X3,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(X5,X4)))))) = multiply(X5,X3),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_11,plain,
multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_4]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_12]),c_0_4]) ).
cnf(c_0_14,plain,
multiply(inverse(inverse(inverse(X1))),X1) = multiply(inverse(inverse(inverse(X2))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_13]),c_0_4]) ).
cnf(c_0_15,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X4)),X5)),inverse(multiply(X2,X4))),inverse(multiply(multiply(inverse(multiply(inverse(a1),X3)),a1),inverse(multiply(a1,a1))))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(a1),X5)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]),c_0_3]) ).
cnf(c_0_16,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),multiply(X2,X3))) = multiply(inverse(X4),multiply(X4,multiply(X1,X3))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_17,plain,
multiply(inverse(inverse(inverse(X1))),X1) = inverse(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(inverse(a1),X2)),a1),inverse(multiply(a1,a1)))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_4]),c_0_15]) ).
cnf(c_0_19,plain,
multiply(inverse(X1),multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_20,plain,
inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17]),c_0_17]) ).
cnf(c_0_21,plain,
multiply(inverse(inverse(inverse(multiply(inverse(inverse(inverse(a1))),a1)))),multiply(inverse(inverse(inverse(X1))),X1)) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_17]) ).
cnf(c_0_22,plain,
inverse(multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_23,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,multiply(X2,X3)))),X4),inverse(multiply(inverse(X2),X4)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_16]),c_0_2]) ).
cnf(c_0_24,plain,
multiply(inverse(a1),multiply(a1,multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1))))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_7]) ).
cnf(c_0_25,plain,
inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1)))) = inverse(multiply(multiply(inverse(multiply(inverse(X2),X1)),X3),inverse(multiply(X2,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_3]),c_0_3]),c_0_2]) ).
cnf(c_0_26,plain,
multiply(inverse(inverse(inverse(inverse(X1)))),multiply(inverse(inverse(inverse(a1))),a1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_17]),c_0_17]) ).
cnf(c_0_27,plain,
multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1))))) = multiply(inverse(a1),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_3]) ).
cnf(c_0_28,plain,
multiply(inverse(a1),multiply(a1,inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1)))))) = inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_26]),c_0_18]) ).
cnf(c_0_29,plain,
multiply(inverse(a1),multiply(a1,multiply(a1,inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1))))))) = multiply(inverse(inverse(a1)),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_28]),c_0_16]) ).
cnf(c_0_30,plain,
multiply(inverse(inverse(a1)),multiply(inverse(inverse(a1)),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(a1),multiply(a1,multiply(a1,multiply(a1,inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1)))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_29]),c_0_16]) ).
cnf(c_0_31,plain,
multiply(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X1))),X1)))),multiply(inverse(inverse(inverse(a1))),a1)) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_19]) ).
cnf(c_0_32,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(inverse(inverse(inverse(a1)))),a1)),multiply(inverse(inverse(a1)),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_30]),c_0_16]),c_0_29]),c_0_5]) ).
cnf(c_0_33,plain,
multiply(inverse(inverse(inverse(inverse(X1)))),multiply(inverse(inverse(inverse(X2))),X2)) = multiply(inverse(a1),multiply(a1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_26]) ).
cnf(c_0_34,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X1),X5)))),X2))),X6),inverse(multiply(X4,X6))))))))) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_35,plain,
multiply(inverse(a1),multiply(a1,multiply(inverse(multiply(inverse(inverse(inverse(inverse(a1)))),a1)),multiply(inverse(inverse(a1)),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1)))))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))) = inverse(multiply(X5,inverse(multiply(X6,multiply(multiply(inverse(X6),multiply(inverse(inverse(X1)),X3)),inverse(multiply(multiply(inverse(multiply(inverse(a1),X5)),a1),inverse(multiply(a1,a1))))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_34]),c_0_3]) ).
cnf(c_0_37,plain,
multiply(inverse(multiply(inverse(inverse(inverse(inverse(a1)))),a1)),multiply(inverse(inverse(a1)),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(a1),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_35]),c_0_25]),c_0_3]) ).
cnf(c_0_38,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(multiply(inverse(multiply(inverse(a1),X2)),a1),inverse(multiply(a1,a1)))))))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(a1),X4)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_34]),c_0_3]),c_0_3]),c_0_36]) ).
cnf(c_0_39,plain,
multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(X4,X3))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(a1),multiply(X4,inverse(multiply(multiply(inverse(multiply(inverse(a1),X2)),a1),inverse(multiply(a1,a1))))))),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_2]),c_0_3]),c_0_3]) ).
cnf(c_0_40,plain,
multiply(multiply(inverse(inverse(inverse(inverse(a1)))),a1),inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1))))) = multiply(inverse(inverse(a1)),inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_3]),c_0_38]),c_0_39]) ).
cnf(c_0_41,plain,
multiply(inverse(inverse(X1)),multiply(multiply(inverse(inverse(inverse(a1))),a1),inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1)))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_40]),c_0_37]),c_0_20]) ).
cnf(c_0_42,plain,
inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(a1),multiply(a1,X3))),inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1))))))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_36]),c_0_7]) ).
cnf(c_0_43,plain,
multiply(inverse(a1),multiply(a1,multiply(multiply(inverse(inverse(inverse(a1))),a1),inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1))))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_41]),c_0_33]) ).
cnf(c_0_44,plain,
inverse(multiply(X1,inverse(multiply(inverse(a1),multiply(multiply(inverse(a1),multiply(a1,multiply(a1,X2))),inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1))))))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_16]),c_0_16]) ).
cnf(c_0_45,plain,
multiply(inverse(a1),multiply(a1,multiply(X1,inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1))))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_43]),c_0_7]),c_0_16]) ).
cnf(c_0_46,plain,
inverse(multiply(X1,inverse(X1))) = inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_4]) ).
cnf(c_0_47,plain,
multiply(a1,inverse(a1)) = multiply(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_46]),c_0_46]),c_0_13]) ).
cnf(c_0_48,plain,
multiply(inverse(a1),multiply(a1,multiply(a1,inverse(a1)))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_47]),c_0_47]) ).
cnf(c_0_49,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_47,c_0_47]) ).
cnf(c_0_50,plain,
multiply(inverse(a1),multiply(a1,multiply(a1,multiply(a1,inverse(a1))))) = multiply(inverse(inverse(a1)),multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_48]),c_0_16]) ).
cnf(c_0_51,plain,
multiply(inverse(X1),multiply(X2,inverse(X2))) = multiply(inverse(X3),multiply(X3,inverse(X1))),
inference(spm,[status(thm)],[c_0_7,c_0_49]) ).
cnf(c_0_52,plain,
multiply(inverse(a1),multiply(a1,multiply(a1,multiply(a1,inverse(a1))))) = multiply(inverse(a1),multiply(a1,inverse(inverse(a1)))),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_2]) ).
cnf(c_0_54,plain,
multiply(a1,multiply(a1,inverse(a1))) = inverse(inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_52]),c_0_7]),c_0_23]) ).
cnf(c_0_55,plain,
multiply(X1,multiply(X2,inverse(X2))) = multiply(inverse(X3),multiply(X3,X1)),
inference(spm,[status(thm)],[c_0_51,c_0_53]) ).
cnf(c_0_56,plain,
multiply(a1,multiply(X1,inverse(X1))) = inverse(inverse(a1)),
inference(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_57,plain,
multiply(inverse(inverse(X1)),multiply(inverse(inverse(inverse(a1))),a1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_55]),c_0_12]),c_0_55]),c_0_56]) ).
cnf(c_0_58,plain,
inverse(multiply(multiply(inverse(inverse(inverse(a1))),a1),inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_41]),c_0_17]) ).
cnf(c_0_59,plain,
multiply(inverse(a1),multiply(a1,multiply(X1,inverse(X1)))) = multiply(X1,inverse(X1)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,plain,
multiply(inverse(a1),multiply(a1,X1)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_57]) ).
cnf(c_0_61,plain,
multiply(multiply(inverse(inverse(inverse(a1))),a1),inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1))))) = multiply(inverse(a1),multiply(a1,inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_58]),c_0_7]) ).
cnf(c_0_62,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),inverse(multiply(multiply(inverse(multiply(inverse(X4),X5)),X6),inverse(multiply(X4,X6))))),inverse(multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X7),X5)),X8),inverse(multiply(X7,X8))))))))) = X3,
inference(spm,[status(thm)],[c_0_34,c_0_4]) ).
cnf(c_0_63,plain,
multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X1),X3))))) = inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))),
inference(spm,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_64,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(X2)))) = multiply(X2,inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_59]),c_0_16]),c_0_59]),c_0_59]) ).
cnf(c_0_65,plain,
multiply(inverse(X1),multiply(X1,X2)) = inverse(inverse(X2)),
inference(spm,[status(thm)],[c_0_7,c_0_60]) ).
cnf(c_0_66,plain,
multiply(inverse(a1),multiply(a1,multiply(inverse(a1),multiply(a1,inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1)))))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(spm,[status(thm)],[c_0_45,c_0_61]) ).
cnf(c_0_67,plain,
multiply(inverse(inverse(a1)),inverse(multiply(a1,inverse(a1)))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_63]),c_0_63]),c_0_49]) ).
cnf(c_0_68,plain,
inverse(inverse(multiply(X1,inverse(X1)))) = multiply(X1,inverse(X1)),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_2]) ).
cnf(c_0_70,plain,
inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1)))) = multiply(a1,inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_66]),c_0_25]) ).
cnf(c_0_71,plain,
inverse(multiply(inverse(inverse(inverse(a1))),a1)) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_57]),c_0_17]) ).
cnf(c_0_72,plain,
multiply(inverse(inverse(inverse(a1))),a1) = inverse(multiply(a1,inverse(a1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_67]),c_0_68]) ).
cnf(c_0_73,plain,
inverse(multiply(multiply(inverse(multiply(inverse(a1),multiply(a1,inverse(a1)))),a1),inverse(multiply(a1,a1)))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_48]),c_0_69]) ).
cnf(c_0_74,plain,
multiply(multiply(inverse(inverse(inverse(inverse(a1)))),a1),inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1))))) = multiply(inverse(inverse(a1)),multiply(a1,inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[c_0_40,c_0_70]) ).
cnf(c_0_75,plain,
inverse(multiply(a1,inverse(a1))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_68]),c_0_72]) ).
cnf(c_0_76,plain,
multiply(a1,inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),a1),inverse(multiply(inverse(a1),a1))))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_73,c_0_63]) ).
cnf(c_0_77,plain,
multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)),
inference(rw,[status(thm)],[c_0_55,c_0_65]) ).
cnf(c_0_78,plain,
inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(a1),multiply(multiply(inverse(a1),multiply(a1,multiply(a1,X3))),X2))))) = X3,
inference(spm,[status(thm)],[c_0_44,c_0_53]) ).
cnf(c_0_79,plain,
multiply(multiply(inverse(inverse(inverse(inverse(a1)))),a1),inverse(multiply(a1,inverse(a1)))) = multiply(inverse(inverse(a1)),multiply(a1,inverse(multiply(a1,inverse(a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_46]),c_0_46]) ).
cnf(c_0_80,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_75]),c_0_63]),c_0_76]),c_0_77]),c_0_68]),c_0_51]),c_0_65]) ).
cnf(c_0_81,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(a1),multiply(a1,X3))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_11]),c_0_11]) ).
cnf(c_0_82,plain,
multiply(inverse(inverse(a1)),inverse(inverse(a1))) = inverse(inverse(multiply(a1,a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_75]),c_0_77]),c_0_75]),c_0_56]),c_0_80]) ).
cnf(c_0_83,plain,
multiply(inverse(inverse(inverse(a1))),a1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_72,c_0_75]) ).
cnf(c_0_84,plain,
inverse(inverse(inverse(inverse(a1)))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_75]),c_0_51]),c_0_60]) ).
cnf(c_0_85,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4,
inference(spm,[status(thm)],[c_0_81,c_0_7]) ).
cnf(c_0_86,plain,
multiply(inverse(inverse(inverse(a1))),inverse(inverse(multiply(a1,a1)))) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_82]),c_0_80]) ).
cnf(c_0_87,plain,
multiply(inverse(inverse(inverse(X1))),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_83]),c_0_84]),c_0_56]),c_0_72]),c_0_75]),c_0_65]) ).
cnf(c_0_88,plain,
inverse(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,a1)))) = inverse(inverse(multiply(a1,a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_65]),c_0_87]),c_0_80]) ).
cnf(c_0_89,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,a1))) = inverse(multiply(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_88]),c_0_65]),c_0_87]),c_0_77]),c_0_80]) ).
cnf(c_0_90,plain,
inverse(multiply(X1,inverse(X1))) = multiply(X1,inverse(X1)),
inference(spm,[status(thm)],[c_0_75,c_0_49]) ).
cnf(c_0_91,plain,
inverse(inverse(inverse(multiply(a1,a1)))) = inverse(multiply(a1,a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_89]),c_0_90]),c_0_89]) ).
cnf(c_0_92,plain,
inverse(inverse(multiply(a1,a1))) = multiply(a1,a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_91]),c_0_65]),c_0_87]),c_0_77]),c_0_80]) ).
cnf(c_0_93,plain,
multiply(inverse(inverse(a1)),inverse(inverse(a1))) = multiply(a1,a1),
inference(rw,[status(thm)],[c_0_82,c_0_92]) ).
cnf(c_0_94,plain,
multiply(inverse(inverse(inverse(a1))),multiply(a1,a1)) = a1,
inference(rw,[status(thm)],[c_0_86,c_0_92]) ).
cnf(c_0_95,plain,
inverse(multiply(multiply(a1,inverse(a1)),inverse(a1))) = inverse(inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_93]),c_0_65]),c_0_87]),c_0_94]) ).
cnf(c_0_96,plain,
multiply(multiply(a1,inverse(a1)),inverse(a1)) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_95]),c_0_65]),c_0_87]),c_0_77]),c_0_80]) ).
cnf(c_0_97,plain,
inverse(inverse(inverse(a1))) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_96]),c_0_90]),c_0_96]) ).
cnf(c_0_98,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(X4,X3)))))) = multiply(X4,inverse(multiply(multiply(inverse(multiply(inverse(X5),X2)),X6),inverse(multiply(X5,X6))))),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_99,plain,
inverse(inverse(a1)) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_97]),c_0_55]),c_0_56]) ).
cnf(c_0_100,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(multiply(inverse(multiply(inverse(X5),X2)),X6),inverse(multiply(X5,X6)))))))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(a1),X4)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_3]) ).
cnf(c_0_101,plain,
inverse(inverse(inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2)))))) = multiply(X3,multiply(a1,inverse(multiply(multiply(inverse(X1),a1),inverse(multiply(inverse(a1),a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_63]),c_0_65]) ).
cnf(c_0_102,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),inverse(multiply(multiply(inverse(multiply(inverse(X4),X5)),X6),inverse(multiply(X4,X6))))),inverse(multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(a1),X5)),a1),inverse(multiply(a1,a1))))))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(a1),X3)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]),c_0_3]) ).
cnf(c_0_103,plain,
multiply(a1,multiply(inverse(a1),X1)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_65,c_0_99]) ).
cnf(c_0_104,plain,
multiply(X1,multiply(inverse(inverse(inverse(X1))),X2)) = inverse(inverse(X2)),
inference(spm,[status(thm)],[c_0_65,c_0_80]) ).
cnf(c_0_105,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(inverse(inverse(multiply(multiply(inverse(X2),a1),inverse(multiply(multiply(inverse(X3),X4),a1))))))))))) = inverse(inverse(inverse(multiply(multiply(inverse(X4),a1),inverse(multiply(X1,a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_98]),c_0_63]),c_0_65]),c_0_101]) ).
cnf(c_0_106,plain,
multiply(X1,inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(X2),a1),inverse(multiply(inverse(multiply(inverse(X3),X4)),a1)))))),multiply(multiply(inverse(X2),a1),inverse(multiply(X3,a1)))))) = inverse(inverse(inverse(multiply(multiply(inverse(X4),a1),inverse(multiply(X1,a1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_98]),c_0_63]),c_0_63]),c_0_65]),c_0_101]),c_0_80]),c_0_101]) ).
cnf(c_0_107,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_87,c_0_99]) ).
cnf(c_0_108,plain,
inverse(inverse(multiply(a1,X1))) = multiply(a1,inverse(inverse(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_80]) ).
cnf(c_0_109,plain,
multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))),
inference(spm,[status(thm)],[c_0_65,c_0_65]) ).
cnf(c_0_110,plain,
multiply(a1,inverse(multiply(inverse(X1),a1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_105]),c_0_98]),c_0_60]),c_0_105]),c_0_80]),c_0_106]),c_0_80]),c_0_106]),c_0_63]),c_0_107]),c_0_90]),c_0_77]),c_0_108]),c_0_80]) ).
cnf(c_0_111,plain,
inverse(inverse(multiply(X1,a1))) = multiply(inverse(inverse(X1)),a1),
inference(spm,[status(thm)],[c_0_109,c_0_99]) ).
cnf(c_0_112,plain,
inverse(inverse(inverse(X1))) = multiply(a1,inverse(multiply(X1,a1))),
inference(spm,[status(thm)],[c_0_110,c_0_80]) ).
cnf(c_0_113,plain,
multiply(X1,multiply(a1,inverse(multiply(multiply(a1,inverse(multiply(multiply(inverse(X1),X2),a1))),a1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2,c_0_63]),c_0_107]),c_0_90]),c_0_77]),c_0_111]),c_0_112]) ).
cnf(c_0_114,plain,
inverse(multiply(a1,inverse(multiply(X1,a1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_112]),c_0_110]) ).
cnf(c_0_115,plain,
inverse(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(multiply(X1,a1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_107]),c_0_51]),c_0_60]),c_0_80]),c_0_107]),c_0_65]),c_0_112]) ).
cnf(c_0_116,plain,
inverse(multiply(inverse(multiply(a1,X1)),a1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_113]),c_0_99]),c_0_111]),c_0_114]) ).
cnf(c_0_117,plain,
inverse(multiply(multiply(a1,inverse(a1)),X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_115,c_0_110]) ).
cnf(c_0_118,plain,
multiply(inverse(multiply(a1,inverse(inverse(X1)))),a1) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_116]),c_0_108]) ).
cnf(c_0_119,plain,
multiply(multiply(a1,inverse(a1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_117]),c_0_13]) ).
cnf(c_0_120,plain,
multiply(inverse(multiply(a1,inverse(X1))),a1) = X1,
inference(spm,[status(thm)],[c_0_118,c_0_114]) ).
cnf(c_0_121,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_109]),c_0_80]) ).
cnf(c_0_122,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_119]),c_0_68]),c_0_90]),c_0_119]) ).
cnf(c_0_123,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_104]),c_0_80]) ).
cnf(c_0_124,plain,
inverse(multiply(inverse(a1),X1)) = multiply(inverse(X1),a1),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
multiply(a1,inverse(multiply(X1,a1))) = inverse(X1),
inference(rw,[status(thm)],[c_0_112,c_0_122]) ).
cnf(c_0_126,plain,
multiply(inverse(a1),inverse(inverse(X1))) = inverse(multiply(inverse(X1),a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_99]),c_0_124]) ).
cnf(c_0_127,plain,
inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2)))) = multiply(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_65]),c_0_65]),c_0_112]),c_0_125]),c_0_122]) ).
cnf(c_0_128,negated_conjecture,
( 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)) ),
prove_these_axioms ).
cnf(c_0_129,plain,
multiply(inverse(a1),inverse(X1)) = inverse(multiply(X1,a1)),
inference(spm,[status(thm)],[c_0_126,c_0_114]) ).
cnf(c_0_130,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_12]),c_0_17]),c_0_87]),c_0_77]),c_0_122]),c_0_65]),c_0_122]) ).
cnf(c_0_131,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_122]),c_0_122]) ).
cnf(c_0_132,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(b1),b1) != multiply(a1,inverse(a1))
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(rw,[status(thm)],[c_0_128,c_0_107]) ).
cnf(c_0_133,plain,
multiply(inverse(X1),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_125]),c_0_129]),c_0_122]),c_0_49]),c_0_65]),c_0_122]) ).
cnf(c_0_134,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(spm,[status(thm)],[c_0_119,c_0_49]) ).
cnf(c_0_135,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_122]) ).
cnf(c_0_136,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133]),c_0_133]),c_0_134])]) ).
cnf(c_0_137,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_135]),c_0_130]),c_0_122]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP057-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 00:37:40 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 2.54/2.60 % Version : CSE_E---1.5
% 2.54/2.60 % Problem : theBenchmark.p
% 2.54/2.60 % Proof found
% 2.54/2.60 % SZS status Theorem for theBenchmark.p
% 2.54/2.60 % SZS output start Proof
% See solution above
% 2.54/2.61 % Total time : 2.039000 s
% 2.54/2.61 % SZS output end Proof
% 2.54/2.61 % Total time : 2.042000 s
%------------------------------------------------------------------------------