TSTP Solution File: GRP056-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP056-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 00:14:54 EDT 2023
% Result : Unsatisfiable 0.56s 0.73s
% Output : CNFRefutation 0.56s
% 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(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X2,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_0_2,axiom,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X3))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]),c_0_2]) ).
cnf(c_0_5,plain,
multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_3]),c_0_4]) ).
cnf(c_0_6,plain,
multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(a1,inverse(X3))),multiply(a1,inverse(X3)))))),multiply(X2,inverse(X3)))))),multiply(X1,inverse(multiply(inverse(X4),inverse(X3))))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_7]),c_0_6]) ).
cnf(c_0_10,plain,
multiply(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(X1)))))),multiply(a1,inverse(multiply(inverse(X2),inverse(X1)))))),inverse(multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(X1))))) = multiply(inverse(X2),inverse(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7]),c_0_7]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(X3,inverse(X4)))))),multiply(X1,inverse(multiply(X3,inverse(X4)))))),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X4))))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(X3))),multiply(a1,inverse(X3)))))),multiply(X1,inverse(multiply(a1,inverse(X3))))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(X3))),multiply(a1,inverse(X3)))))),multiply(a1,inverse(multiply(inverse(X2),inverse(X3))))),
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_13,plain,
multiply(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,inverse(X1)))))),multiply(a1,inverse(multiply(inverse(X2),inverse(X1)))))),inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X1))))) = multiply(inverse(X2),inverse(X1)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(X1),inverse(X2))),multiply(X3,inverse(X2)))))),multiply(a1,inverse(multiply(X3,inverse(X2))))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(X2))),multiply(a1,inverse(X2)))))),multiply(a1,inverse(multiply(inverse(X1),inverse(X2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_13]),c_0_3]) ).
cnf(c_0_15,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),X1)))),multiply(a1,inverse(multiply(inverse(X1),X1))))))),multiply(a1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_8]),c_0_4]) ).
cnf(c_0_16,plain,
multiply(inverse(X1),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(multiply(inverse(X3),X3)))))) = multiply(inverse(X1),inverse(multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_17,plain,
multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),inverse(multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_16,c_0_2]) ).
cnf(c_0_18,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),X4))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_17]) ).
cnf(c_0_19,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(a1),a1))) = multiply(inverse(X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_18]),c_0_17]) ).
cnf(c_0_20,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(a1,inverse(X2))),multiply(a1,inverse(X2)))))),multiply(X1,inverse(multiply(inverse(X3),inverse(X2)))))),inverse(multiply(inverse(multiply(a1,inverse(X2))),multiply(a1,inverse(X2))))) = multiply(inverse(X3),inverse(X2)),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_21,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(a1),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_15,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_22,plain,
multiply(inverse(multiply(inverse(multiply(X1,multiply(inverse(a1),a1))),multiply(X1,inverse(multiply(inverse(X2),inverse(X3)))))),multiply(inverse(a1),a1)) = multiply(inverse(X2),inverse(X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17]),c_0_21]),c_0_21]) ).
cnf(c_0_23,plain,
multiply(inverse(a1),a1) = multiply(inverse(X1),X1),
inference(rw,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_25,plain,
inverse(multiply(multiply(inverse(a1),a1),multiply(inverse(X1),X1))) = multiply(inverse(a1),a1),
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_26,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(a1),a1)) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_23]),c_0_21]),c_0_23]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)),multiply(inverse(a1),a1)) = X4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17]),c_0_21]) ).
cnf(c_0_28,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(inverse(a1),a1),X2)))),multiply(X1,inverse(X2))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_21]),c_0_21]) ).
cnf(c_0_29,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),multiply(inverse(a1),a1)) = X2,
inference(rw,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_30,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(X1),X1)) = multiply(inverse(a1),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)],[inference(spm,[status(thm)],[c_0_15,c_0_25]),c_0_19]),c_0_19]),c_0_21]),c_0_21]),c_0_26]),c_0_21]),c_0_23]) ).
cnf(c_0_31,plain,
multiply(inverse(inverse(X1)),inverse(multiply(multiply(inverse(a1),a1),X1))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_21]),c_0_29]),c_0_21]),c_0_30]) ).
cnf(c_0_32,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_23,c_0_23]) ).
cnf(c_0_33,plain,
multiply(inverse(inverse(X1)),inverse(multiply(multiply(inverse(X2),X2),X1))) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(inverse(multiply(multiply(inverse(a1),a1),X1))),inverse(X1))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_32]),c_0_21]) ).
cnf(c_0_35,plain,
multiply(inverse(inverse(multiply(inverse(inverse(multiply(multiply(inverse(a1),a1),X1))),inverse(X1)))),multiply(inverse(a1),a1)) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_21]) ).
cnf(c_0_36,plain,
inverse(multiply(inverse(inverse(multiply(multiply(inverse(a1),a1),X1))),inverse(X1))) = multiply(inverse(a1),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_29,c_0_35]),c_0_21]),c_0_21]),c_0_23]),c_0_21]),c_0_30]) ).
cnf(c_0_37,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(inverse(X2),X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_28,c_0_32]) ).
cnf(c_0_38,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4)))))),multiply(X2,inverse(X4)))))),multiply(X1,inverse(multiply(inverse(X5),inverse(X4))))) = X5,
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_39,plain,
multiply(inverse(inverse(multiply(multiply(inverse(a1),a1),X1))),inverse(X1)) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_36]),c_0_21]),c_0_30]),c_0_21]),c_0_37]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(X1,multiply(inverse(a1),a1))),multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(a1),a1))))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_41,plain,
multiply(inverse(inverse(multiply(multiply(inverse(X1),X1),X2))),inverse(X2)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_39,c_0_32]) ).
cnf(c_0_42,plain,
multiply(multiply(inverse(a1),a1),multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(X1),multiply(inverse(a1),a1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_21]),c_0_21]) ).
cnf(c_0_43,plain,
multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X3),X3)))),multiply(a1,inverse(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_2]),c_0_3]) ).
cnf(c_0_44,plain,
multiply(inverse(inverse(X1)),inverse(multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(X1),multiply(inverse(a1),a1)))))) = multiply(inverse(a1),a1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
multiply(inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,inverse(X1)))),multiply(inverse(a1),a1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_43]),c_0_21]),c_0_21]) ).
cnf(c_0_46,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(X1),multiply(inverse(a1),a1)))))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_21]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,inverse(X1))) = multiply(multiply(inverse(a1),a1),multiply(multiply(inverse(a1),a1),inverse(X1))),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_48,plain,
multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(X1),multiply(inverse(a1),a1))))))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_46]),c_0_21]),c_0_21]) ).
cnf(c_0_49,plain,
multiply(inverse(multiply(multiply(inverse(a1),a1),multiply(multiply(inverse(a1),a1),inverse(X1)))),multiply(inverse(a1),a1)) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_47]) ).
cnf(c_0_50,plain,
multiply(multiply(inverse(X1),X1),multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))) = X2,
inference(spm,[status(thm)],[c_0_42,c_0_32]) ).
cnf(c_0_51,plain,
inverse(inverse(multiply(inverse(X1),multiply(inverse(a1),a1)))) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_48]),c_0_21]),c_0_49]) ).
cnf(c_0_52,plain,
inverse(multiply(inverse(X1),multiply(inverse(a1),a1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_50]) ).
cnf(c_0_53,plain,
multiply(inverse(multiply(X1,multiply(inverse(a1),a1))),multiply(X1,X2)) = X2,
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_7,c_0_15]),c_0_19]),c_0_19]),c_0_21]),c_0_21]),c_0_52]) ).
cnf(c_0_54,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))) = X3,
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_55,plain,
multiply(inverse(a1),multiply(inverse(a1),a1)) = inverse(a1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,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_57,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4)))))),multiply(X5,inverse(X4)))))),multiply(X1,inverse(multiply(X5,inverse(X4))))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_58,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,multiply(inverse(a1),a1)))),multiply(inverse(a1),a1)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X4)))),multiply(X3,inverse(X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_17]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_59,plain,
inverse(inverse(a1)) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_53]) ).
cnf(c_0_60,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_55]),c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(sr,[status(thm)],[c_0_56,c_0_23]) ).
cnf(c_0_62,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(a1),a1))),a1)))),multiply(a1,inverse(a1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_17]),c_0_21]),c_0_58]) ).
cnf(c_0_63,plain,
multiply(inverse(X1),X1) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_32,c_0_59]) ).
cnf(c_0_64,plain,
multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_60]),c_0_52]),c_0_32]),c_0_60]),c_0_60]) ).
cnf(c_0_65,plain,
multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_60]),c_0_52]),c_0_32]),c_0_60]),c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(X1),X1),a2) != a2 ),
inference(spm,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_67,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),a1)))),multiply(a1,inverse(a1))) = multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,inverse(X1))),
inference(spm,[status(thm)],[c_0_62,c_0_45]) ).
cnf(c_0_68,plain,
multiply(multiply(inverse(a1),a1),multiply(multiply(inverse(a1),a1),inverse(X1))) = inverse(X1),
inference(rw,[status(thm)],[c_0_47,c_0_53]) ).
cnf(c_0_69,plain,
multiply(X1,multiply(a1,inverse(a1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_63]),c_0_52]) ).
cnf(c_0_70,plain,
inverse(multiply(a1,inverse(a1))) = multiply(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_53,c_0_64]),c_0_60]),c_0_65]),c_0_32]),c_0_60]) ).
cnf(c_0_71,plain,
multiply(inverse(a1),multiply(a1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_53]),c_0_52]) ).
cnf(c_0_72,negated_conjecture,
( multiply(multiply(multiply(inverse(a1),a1),multiply(inverse(X1),X1)),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(spm,[status(thm)],[c_0_66,c_0_21]) ).
cnf(c_0_73,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_58]),c_0_67]),c_0_47]),c_0_68]) ).
cnf(c_0_74,plain,
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(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_15,c_0_69]),c_0_70]),c_0_70]),c_0_69]),c_0_70]),c_0_70]),c_0_69]),c_0_63]),c_0_70]),c_0_69]),c_0_70]),c_0_70]),c_0_69]),c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( multiply(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(spm,[status(thm)],[c_0_72,c_0_32]) ).
cnf(c_0_76,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),a1)))),multiply(a1,inverse(a1))) = multiply(multiply(inverse(a1),a1),multiply(multiply(inverse(a1),a1),inverse(X1))),
inference(rw,[status(thm)],[c_0_67,c_0_47]) ).
cnf(c_0_77,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X3)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_8]) ).
cnf(c_0_78,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_69]),c_0_74]),c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( multiply(multiply(multiply(inverse(X1),X1),multiply(multiply(inverse(a1),a1),multiply(inverse(X2),X2))),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(spm,[status(thm)],[c_0_75,c_0_21]) ).
cnf(c_0_80,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),a1)))),multiply(a1,inverse(a1))) = inverse(X1),
inference(rw,[status(thm)],[c_0_76,c_0_68]) ).
cnf(c_0_81,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,multiply(inverse(a1),a1))),multiply(a1,inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))),X1)),multiply(inverse(a1),a1)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_17]),c_0_43]),c_0_21]),c_0_21]) ).
cnf(c_0_82,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_52]) ).
cnf(c_0_83,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_78]),c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( multiply(multiply(multiply(inverse(X1),X1),multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3))),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(spm,[status(thm)],[c_0_79,c_0_32]) ).
cnf(c_0_85,plain,
inverse(multiply(a1,inverse(multiply(X1,a1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_52]),c_0_69]) ).
cnf(c_0_86,plain,
multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_87,plain,
inverse(multiply(inverse(multiply(X1,X2)),X1)) = 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)],[inference(rw,[status(thm)],[c_0_81,c_0_53]),c_0_60]),c_0_74]),c_0_63]),c_0_69]),c_0_74]),c_0_69]) ).
cnf(c_0_88,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_82]),c_0_23]),c_0_63]),c_0_69]),c_0_74]) ).
cnf(c_0_90,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
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_78,c_0_54]),c_0_63]),c_0_69]),c_0_63]),c_0_69]),c_0_74]) ).
cnf(c_0_91,negated_conjecture,
( multiply(multiply(X1,multiply(a1,inverse(multiply(X1,a1)))),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_63]),c_0_69]) ).
cnf(c_0_92,plain,
multiply(multiply(a1,inverse(a1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_87]),c_0_63]) ).
cnf(c_0_93,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
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)],[c_0_38,c_0_88]),c_0_21]),c_0_63]),c_0_69]),c_0_89]),c_0_90]),c_0_90]),c_0_74]) ).
cnf(c_0_94,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(spm,[status(thm)],[c_0_91,c_0_92]),c_0_69]),c_0_92])]) ).
cnf(c_0_95,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_93]),c_0_63]),c_0_69]),c_0_74]) ).
cnf(c_0_96,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP056-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 23:03:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.46/0.58 start to proof: theBenchmark
% 0.56/0.73 % Version : CSE_E---1.5
% 0.56/0.73 % Problem : theBenchmark.p
% 0.56/0.73 % Proof found
% 0.56/0.73 % SZS status Theorem for theBenchmark.p
% 0.56/0.73 % SZS output start Proof
% See solution above
% 0.56/0.74 % Total time : 0.150000 s
% 0.56/0.74 % SZS output end Proof
% 0.56/0.74 % Total time : 0.153000 s
%------------------------------------------------------------------------------