TSTP Solution File: GRP419-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP419-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 00:19:26 EDT 2023
% Result : Unsatisfiable 1.62s 1.73s
% Output : CNFRefutation 1.62s
% 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,
b2: $i ).
tff(decl_25,type,
a2: $i ).
cnf(single_axiom,axiom,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_0_2,axiom,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(inverse(multiply(inverse(multiply(b2,inverse(multiply(X1,inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))))))),multiply(b2,b2)))) = X1,
inference(rw,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_6,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X2),inverse(multiply(multiply(X4,X6),inverse(multiply(inverse(multiply(X4,X6)),multiply(X4,X6))))))))),inverse(multiply(inverse(multiply(X7,inverse(multiply(X5,inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X7,X8)))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_7,plain,
inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X5)),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(inverse(X2),inverse(multiply(multiply(X4,X6),inverse(multiply(inverse(multiply(X4,X6)),multiply(X4,X6))))))))),X5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_3]),c_0_7]) ).
cnf(c_0_9,plain,
inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))) = inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),inverse(multiply(inverse(X2),inverse(multiply(multiply(X4,X5),inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X5))))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_7]) ).
cnf(c_0_10,plain,
inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))) = inverse(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3)))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_11,plain,
inverse(inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)))) = inverse(inverse(multiply(X5,multiply(inverse(multiply(X2,inverse(multiply(inverse(X5),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),X4)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_3]),c_0_7]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_3]),c_0_7]) ).
cnf(c_0_13,plain,
inverse(inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))))) = inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(b2,inverse(multiply(X4,inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))))))),multiply(b2,b2)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_3]) ).
cnf(c_0_14,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(X4,inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),inverse(multiply(inverse(multiply(X5,inverse(multiply(X2,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6))))) = inverse(multiply(inverse(multiply(b2,inverse(multiply(X4,inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))))))),multiply(b2,b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]) ).
cnf(c_0_15,plain,
inverse(inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))))) = inverse(inverse(multiply(inverse(X4),X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_3]),c_0_7]) ).
cnf(c_0_16,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(X4,inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),X2)) = inverse(multiply(inverse(multiply(b2,inverse(multiply(X4,inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))))))),multiply(b2,b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_3]),c_0_7]) ).
cnf(c_0_17,plain,
inverse(inverse(multiply(inverse(b2),b2))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_15]) ).
cnf(c_0_18,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_3]),c_0_7]) ).
cnf(c_0_19,plain,
inverse(inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(X2),X2))),
inference(spm,[status(thm)],[c_0_17,c_0_17]) ).
cnf(c_0_20,plain,
inverse(inverse(multiply(inverse(multiply(inverse(multiply(b2,inverse(multiply(X1,inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))))))),multiply(b2,b2))),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),inverse(multiply(X1,inverse(multiply(multiply(X2,X5),inverse(multiply(inverse(multiply(X2,X5)),multiply(X2,X5))))))))),X4)))) = X3,
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_21,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
inverse(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))))),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_20,c_0_21]),c_0_21]),c_0_3]),c_0_3]),c_0_3]),c_0_7]) ).
cnf(c_0_23,plain,
inverse(inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X3),X3))))),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_24,plain,
inverse(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(inverse(multiply(inverse(b2),b2))),X1)))) = inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_25,plain,
inverse(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(X1),X2)))) = inverse(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_26,plain,
inverse(inverse(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,X1)))) = inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1))))),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
inverse(inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(inverse(multiply(inverse(X2),X2))))))),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_28,plain,
inverse(inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_27]),c_0_21]) ).
cnf(c_0_29,plain,
inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_28]) ).
cnf(c_0_30,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2))) = multiply(inverse(multiply(X3,X4)),multiply(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_29]),c_0_21]) ).
cnf(c_0_31,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_30]),c_0_19]),c_0_28]) ).
cnf(c_0_32,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_31]),c_0_28]) ).
cnf(c_0_33,plain,
inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,inverse(multiply(inverse(b2),b2)))))) = inverse(multiply(inverse(b2),b2)),
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_25,c_0_32]),c_0_31]),c_0_28]),c_0_32]),c_0_28]),c_0_28]) ).
cnf(c_0_34,plain,
inverse(multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
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_18,c_0_33]),c_0_28]),c_0_32]),c_0_28]),c_0_32]),c_0_28]),c_0_32]),c_0_28]) ).
cnf(c_0_35,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_36,plain,
inverse(inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(X1,multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)))) = 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_7,c_0_35]),c_0_31]),c_0_34]),c_0_34]),c_0_35]),c_0_34]) ).
cnf(c_0_37,plain,
inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,multiply(inverse(b2),b2))))) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_34]),c_0_28]),c_0_34]) ).
cnf(c_0_38,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,b2)))),inverse(multiply(b2,multiply(inverse(b2),b2))))) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_34]) ).
cnf(c_0_39,plain,
inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))) = b2,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_41,plain,
inverse(multiply(b2,inverse(multiply(b2,multiply(inverse(b2),b2))))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_26]),c_0_34]),c_0_39]),c_0_34]) ).
cnf(c_0_42,plain,
inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(b2,multiply(inverse(b2),b2))))))),multiply(X1,b2)))) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_34]) ).
cnf(c_0_43,plain,
inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,X2)))) = inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_34]),c_0_31]),c_0_34]),c_0_34]) ).
cnf(c_0_44,plain,
inverse(inverse(multiply(inverse(X1),X1))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_45,plain,
multiply(multiply(inverse(b2),b2),multiply(b2,inverse(multiply(b2,multiply(inverse(b2),b2))))) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),b2)))) = b2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_43]) ).
cnf(c_0_47,plain,
inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X3)))) = inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_44]),c_0_31]),c_0_34]),c_0_34]) ).
cnf(c_0_48,plain,
multiply(b2,inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_45]),c_0_34]),c_0_46]),c_0_41]) ).
cnf(c_0_49,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(multiply(X3,X4)),multiply(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_21]) ).
cnf(c_0_50,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_47]),c_0_46]),c_0_48]),c_0_34]) ).
cnf(c_0_51,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(multiply(X2,X3),inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X5))))))) = multiply(X2,X3),
inference(spm,[status(thm)],[c_0_21,c_0_49]) ).
cnf(c_0_52,plain,
inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X1)))) = inverse(inverse(multiply(X1,multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_47]),c_0_50]) ).
cnf(c_0_53,plain,
inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(multiply(X1,X2),multiply(inverse(b2),b2))))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_34]),c_0_34]),c_0_31]),c_0_34]),c_0_34]) ).
cnf(c_0_54,plain,
inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(b2,inverse(multiply(b2,multiply(inverse(b2),b2))))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_39]),c_0_28]),c_0_34]) ).
cnf(c_0_55,plain,
inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,X2)))) = inverse(inverse(multiply(X2,multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[c_0_43,c_0_52]) ).
cnf(c_0_56,plain,
multiply(b2,multiply(multiply(inverse(b2),b2),inverse(multiply(b2,multiply(inverse(b2),b2))))) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_57,plain,
inverse(inverse(multiply(multiply(X1,X2),multiply(inverse(b2),b2)))) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_53]) ).
cnf(c_0_58,plain,
inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(b2),b2))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_34]) ).
cnf(c_0_59,plain,
inverse(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(b2),b2)))) = multiply(multiply(inverse(b2),b2),inverse(multiply(b2,multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_60,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(X1),X1)) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
cnf(c_0_61,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(b2,multiply(inverse(b2),b2)))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_58]),c_0_59]) ).
cnf(c_0_62,plain,
multiply(inverse(b2),b2) = multiply(inverse(X1),X1),
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_60]),c_0_50]),c_0_52]),c_0_50]),c_0_50]) ).
cnf(c_0_63,plain,
inverse(multiply(b2,multiply(inverse(b2),b2))) = inverse(b2),
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_55,c_0_61]),c_0_60]),c_0_50]),c_0_61]),c_0_39]),c_0_59]),c_0_61]) ).
cnf(c_0_64,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_62,c_0_62]) ).
cnf(c_0_65,plain,
inverse(inverse(b2)) = b2,
inference(rw,[status(thm)],[c_0_39,c_0_63]) ).
cnf(c_0_66,plain,
multiply(inverse(X1),X1) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,plain,
inverse(inverse(multiply(inverse(b2),multiply(inverse(b2),b2)))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_61]),c_0_63]),c_0_63]) ).
cnf(c_0_68,plain,
multiply(inverse(b2),inverse(multiply(inverse(b2),multiply(b2,inverse(b2))))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_66]) ).
cnf(c_0_69,plain,
inverse(multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_66]),c_0_66]) ).
cnf(c_0_70,plain,
multiply(multiply(b2,inverse(b2)),multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_66]),c_0_66]),c_0_66]) ).
cnf(c_0_71,plain,
multiply(multiply(b2,inverse(b2)),inverse(b2)) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_63]),c_0_63]),c_0_66]) ).
cnf(c_0_72,plain,
inverse(multiply(multiply(b2,inverse(b2)),inverse(multiply(X1,multiply(b2,inverse(b2)))))) = 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_21,c_0_55]),c_0_60]),c_0_50]),c_0_50]),c_0_50]),c_0_66]),c_0_66]) ).
cnf(c_0_73,plain,
inverse(multiply(inverse(b2),multiply(b2,inverse(b2)))) = b2,
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_38,c_0_68]),c_0_69]),c_0_66]),c_0_70]),c_0_69]),c_0_69]),c_0_63]),c_0_71]),c_0_65]) ).
cnf(c_0_74,plain,
inverse(multiply(b2,inverse(multiply(inverse(X1),b2)))) = inverse(multiply(multiply(b2,inverse(b2)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_3]),c_0_7]),c_0_65]),c_0_69]),c_0_73]) ).
cnf(c_0_75,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_76,plain,
inverse(multiply(b2,inverse(multiply(X1,b2)))) = 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_74,c_0_36]),c_0_66]),c_0_66]),c_0_72]),c_0_66]),c_0_72]) ).
cnf(c_0_77,negated_conjecture,
multiply(multiply(inverse(X1),X1),a2) != a2,
inference(spm,[status(thm)],[c_0_75,c_0_62]) ).
cnf(c_0_78,plain,
inverse(multiply(multiply(b2,inverse(b2)),X1)) = inverse(X1),
inference(rw,[status(thm)],[c_0_74,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
multiply(multiply(X1,multiply(multiply(inverse(b2),b2),inverse(multiply(X1,multiply(inverse(b2),b2))))),a2) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_21]),c_0_50]),c_0_50]),c_0_50]) ).
cnf(c_0_80,plain,
inverse(inverse(multiply(X1,multiply(b2,inverse(b2))))) = X1,
inference(rw,[status(thm)],[c_0_72,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
multiply(multiply(X1,multiply(multiply(b2,inverse(b2)),inverse(multiply(X1,multiply(b2,inverse(b2)))))),a2) != a2,
inference(spm,[status(thm)],[c_0_79,c_0_66]) ).
cnf(c_0_82,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(spm,[status(thm)],[c_0_55,c_0_78]),c_0_50]),c_0_66]),c_0_78]),c_0_78]),c_0_66]),c_0_80]) ).
cnf(c_0_83,negated_conjecture,
multiply(multiply(multiply(b2,inverse(b2)),multiply(multiply(b2,inverse(b2)),multiply(b2,inverse(b2)))),a2) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_66]),c_0_69]),c_0_69]) ).
cnf(c_0_84,plain,
multiply(multiply(b2,inverse(b2)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_78]),c_0_82]) ).
cnf(c_0_85,plain,
multiply(X1,multiply(b2,inverse(b2))) = X1,
inference(rw,[status(thm)],[c_0_80,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP419-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 23:35:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 1.62/1.73 % Version : CSE_E---1.5
% 1.62/1.73 % Problem : theBenchmark.p
% 1.62/1.73 % Proof found
% 1.62/1.73 % SZS status Theorem for theBenchmark.p
% 1.62/1.73 % SZS output start Proof
% See solution above
% 1.62/1.74 % Total time : 1.136000 s
% 1.62/1.74 % SZS output end Proof
% 1.62/1.74 % Total time : 1.139000 s
%------------------------------------------------------------------------------