TSTP Solution File: GRP422-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP422-1 : 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 : n007.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 00:19:57 EDT 2023
% Result : Unsatisfiable 2.05s 2.22s
% Output : CNFRefutation 2.05s
% 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),multiply(inverse(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),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_5,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X3))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_6,plain,
inverse(inverse(multiply(inverse(multiply(b2,inverse(multiply(X1,multiply(inverse(b2),inverse(multiply(inverse(b2),b2))))))),multiply(b2,b2)))) = X1,
inference(rw,[status(thm)],[c_0_2,c_0_4]) ).
cnf(c_0_7,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)),inverse(multiply(inverse(multiply(X5,inverse(multiply(X2,multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X5,X6))))) = inverse(multiply(inverse(multiply(b2,X4)),multiply(b2,multiply(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_3]) ).
cnf(c_0_8,plain,
inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_4]),c_0_4]),c_0_6]) ).
cnf(c_0_9,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)),X2)) = inverse(multiply(inverse(multiply(b2,X4)),multiply(b2,multiply(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_4]),c_0_8]) ).
cnf(c_0_10,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(b2,multiply(X2,X3))),multiply(b2,multiply(X2,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_4]),c_0_6]) ).
cnf(c_0_11,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_10,c_0_10]) ).
cnf(c_0_12,plain,
inverse(multiply(inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(b2),b2))),inverse(multiply(inverse(b2),b2)))))))),multiply(X1,X2))) = multiply(inverse(X2),X3),
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_3,c_0_4]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_8]) ).
cnf(c_0_13,plain,
inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_14,plain,
multiply(inverse(X1),multiply(inverse(b2),b2)) = multiply(inverse(X1),multiply(inverse(X2),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_12]) ).
cnf(c_0_15,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X3),X3))),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_4,c_0_4]),c_0_8]),c_0_11]),c_0_4]),c_0_4]),c_0_8]) ).
cnf(c_0_16,plain,
multiply(X1,multiply(inverse(b2),b2)) = multiply(X1,multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_17,plain,
multiply(inverse(multiply(b2,X1)),multiply(b2,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,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_4,c_0_4]),c_0_11]),c_0_15]),c_0_4]),c_0_8]),c_0_8]) ).
cnf(c_0_18,plain,
multiply(X1,multiply(inverse(X2),X2)) = multiply(X1,multiply(inverse(X3),X3)),
inference(spm,[status(thm)],[c_0_16,c_0_16]) ).
cnf(c_0_19,plain,
inverse(multiply(inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,X2))),multiply(inverse(multiply(X3,X1)),X4))) = inverse(multiply(inverse(multiply(b2,multiply(X3,X2))),multiply(b2,X4))),
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_20,plain,
multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(X1),X2)) = multiply(inverse(multiply(b2,X1)),multiply(b2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_13]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X3),X3)) = multiply(inverse(multiply(b2,X2)),multiply(b2,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(multiply(X4,X2)),X5))) = inverse(multiply(inverse(multiply(b2,multiply(X4,X3))),multiply(b2,X5))),
inference(spm,[status(thm)],[c_0_19,c_0_5]) ).
cnf(c_0_23,plain,
multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X3)) = multiply(inverse(multiply(b2,X2)),multiply(b2,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(b2,X1)),multiply(b2,X1)) = multiply(inverse(multiply(b2,X2)),multiply(b2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_20]) ).
cnf(c_0_25,plain,
multiply(inverse(multiply(b2,b2)),multiply(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_21]),c_0_22]),c_0_11]),c_0_23]),c_0_24]),c_0_11]),c_0_24]) ).
cnf(c_0_26,plain,
inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(X1,b2)),multiply(X1,b2)) = inverse(multiply(inverse(b2),b2)),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_28,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3)))))) = inverse(X2),
inference(spm,[status(thm)],[c_0_8,c_0_3]) ).
cnf(c_0_29,plain,
inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X2),X2))),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_30,plain,
multiply(inverse(multiply(b2,X1)),multiply(b2,X1)) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_27]),c_0_20]) ).
cnf(c_0_31,plain,
inverse(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(inverse(b2),b2)))))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_27]),c_0_29]),c_0_29]),c_0_23]) ).
cnf(c_0_32,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = inverse(multiply(inverse(b2),b2)),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_33,plain,
inverse(inverse(multiply(inverse(b2),multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2)))))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_29]),c_0_11]) ).
cnf(c_0_34,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_32,c_0_32]),c_0_29]) ).
cnf(c_0_35,plain,
multiply(inverse(b2),inverse(multiply(inverse(b2),multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2)))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_27]),c_0_29]),c_0_29]),c_0_11]) ).
cnf(c_0_36,plain,
inverse(inverse(multiply(inverse(b2),inverse(multiply(inverse(b2),b2))))) = inverse(b2),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
multiply(inverse(b2),inverse(multiply(inverse(b2),inverse(multiply(inverse(b2),b2))))) = inverse(multiply(inverse(b2),b2)),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_38,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(b2,inverse(multiply(X2,multiply(inverse(b2),inverse(multiply(inverse(b2),b2))))))),multiply(b2,b2))))),multiply(X1,X3))) = multiply(inverse(X3),inverse(multiply(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]),c_0_29]),c_0_11]),c_0_34]),c_0_4]),c_0_4]),c_0_8]) ).
cnf(c_0_39,plain,
multiply(X1,multiply(inverse(X2),X2)) = multiply(X1,inverse(multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_18,c_0_32]) ).
cnf(c_0_40,plain,
inverse(inverse(multiply(inverse(b2),inverse(multiply(inverse(X1),X1))))) = inverse(b2),
inference(spm,[status(thm)],[c_0_36,c_0_11]) ).
cnf(c_0_41,plain,
multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),inverse(multiply(inverse(b2),b2)))))),multiply(b2,b2)) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_37]),c_0_29]),c_0_20]),c_0_32]) ).
cnf(c_0_42,plain,
multiply(X1,inverse(multiply(X1,multiply(inverse(b2),b2)))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_38]),c_0_6]),c_0_29]),c_0_39]) ).
cnf(c_0_43,plain,
inverse(inverse(multiply(inverse(b2),multiply(inverse(X1),X1)))) = inverse(b2),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_44,plain,
multiply(X1,multiply(inverse(X2),X2)) = multiply(X1,inverse(multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_39,c_0_11]) ).
cnf(c_0_45,plain,
inverse(multiply(b2,inverse(multiply(inverse(b2),multiply(inverse(b2),b2))))) = inverse(multiply(b2,b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_29]),c_0_23]),c_0_28]),c_0_39]) ).
cnf(c_0_46,plain,
multiply(X1,inverse(multiply(X1,multiply(inverse(X2),X2)))) = inverse(multiply(inverse(b2),b2)),
inference(spm,[status(thm)],[c_0_42,c_0_18]) ).
cnf(c_0_47,plain,
multiply(inverse(X1),inverse(multiply(inverse(b2),multiply(inverse(X2),X2)))) = multiply(inverse(X1),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_43]),c_0_12]) ).
cnf(c_0_48,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),multiply(inverse(b2),b2)))))),multiply(X1,X3))) = multiply(inverse(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X5)))),multiply(inverse(X5),multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_3]),c_0_44]),c_0_44]) ).
cnf(c_0_49,plain,
inverse(inverse(multiply(inverse(b2),multiply(inverse(b2),b2)))) = inverse(b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_45]),c_0_28]) ).
cnf(c_0_50,plain,
inverse(multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),multiply(inverse(X3),multiply(inverse(b2),b2)))))),multiply(X1,X3)) = inverse(inverse(multiply(inverse(multiply(b2,inverse(multiply(X2,multiply(inverse(b2),multiply(inverse(b2),b2)))))),multiply(b2,b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_3]),c_0_44]),c_0_48]),c_0_44]) ).
cnf(c_0_52,plain,
multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(multiply(inverse(b2),multiply(inverse(b2),b2))))) = inverse(multiply(inverse(b2),b2)),
inference(spm,[status(thm)],[c_0_32,c_0_45]) ).
cnf(c_0_53,plain,
inverse(multiply(inverse(b2),inverse(multiply(inverse(b2),multiply(inverse(b2),b2))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_49]),c_0_29]) ).
cnf(c_0_54,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_11,c_0_50]) ).
cnf(c_0_55,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),multiply(inverse(b2),b2)))))),multiply(X1,X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),multiply(inverse(multiply(X5,X6)),multiply(inverse(b2),b2)))))),multiply(X4,multiply(X5,X6))),
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_4,c_0_3]),c_0_44]),c_0_29]),c_0_29]),c_0_44]),c_0_20]),c_0_27]),c_0_29]),c_0_39]),c_0_20]),c_0_27]),c_0_44]),c_0_46]),c_0_44]) ).
cnf(c_0_56,plain,
inverse(multiply(b2,inverse(multiply(inverse(b2),multiply(inverse(X1),X1))))) = inverse(multiply(b2,b2)),
inference(spm,[status(thm)],[c_0_45,c_0_18]) ).
cnf(c_0_57,plain,
inverse(inverse(multiply(inverse(multiply(b2,inverse(multiply(b2,multiply(inverse(b2),multiply(inverse(b2),b2)))))),multiply(b2,b2)))) = inverse(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(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_51,c_0_33]),c_0_51]),c_0_39]),c_0_20]),c_0_27]),c_0_39]),c_0_32]),c_0_29]),c_0_39]) ).
cnf(c_0_58,plain,
inverse(inverse(multiply(inverse(multiply(b2,b2)),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_52]),c_0_29]),c_0_29]),c_0_49]),c_0_49]),c_0_53]),c_0_39]),c_0_23]) ).
cnf(c_0_59,plain,
multiply(X1,inverse(multiply(inverse(b2),multiply(inverse(X2),X2)))) = multiply(X1,b2),
inference(spm,[status(thm)],[c_0_47,c_0_8]) ).
cnf(c_0_60,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(X1),X1)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_54]),c_0_32]),c_0_54]) ).
cnf(c_0_61,plain,
inverse(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,b2)))) = inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_51]),c_0_57]) ).
cnf(c_0_62,plain,
inverse(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,multiply(inverse(X1),X1))))) = inverse(b2),
inference(spm,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_63,plain,
inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,X2))) = multiply(inverse(X2),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_3,c_0_59]),c_0_43]),c_0_29]),c_0_54]),c_0_11]),c_0_54]),c_0_60]),c_0_47]) ).
cnf(c_0_64,plain,
inverse(inverse(multiply(inverse(multiply(b2,inverse(multiply(b2,multiply(inverse(b2),multiply(inverse(b2),b2)))))),multiply(b2,b2)))) = inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[c_0_57,c_0_61]) ).
cnf(c_0_65,plain,
inverse(inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(b2),multiply(inverse(b2),b2))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_61]),c_0_39]) ).
cnf(c_0_66,plain,
inverse(multiply(multiply(inverse(b2),b2),b2)) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_54]) ).
cnf(c_0_67,plain,
inverse(inverse(multiply(b2,multiply(inverse(b2),multiply(inverse(b2),b2))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_64]),c_0_39]),c_0_65]) ).
cnf(c_0_68,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),multiply(inverse(b2),b2)))))),multiply(X1,X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),multiply(multiply(inverse(X5),inverse(multiply(inverse(X6),multiply(inverse(b2),b2)))),inverse(multiply(multiply(inverse(X5),inverse(multiply(inverse(X6),multiply(inverse(b2),b2)))),multiply(inverse(multiply(X7,X6)),multiply(X7,X5))))))))),multiply(X4,multiply(inverse(multiply(X7,X6)),multiply(X7,X5)))),
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(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_4,c_0_3]),c_0_44]),c_0_29]),c_0_29]),c_0_44]),c_0_20]),c_0_27]),c_0_29]),c_0_39]),c_0_20]),c_0_27]),c_0_44]),c_0_29]),c_0_29]),c_0_44]),c_0_20]),c_0_27]),c_0_29]),c_0_39]),c_0_20]),c_0_27]),c_0_44]) ).
cnf(c_0_69,plain,
inverse(multiply(inverse(b2),multiply(multiply(inverse(b2),b2),X1))) = multiply(inverse(X1),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_66]),c_0_63]) ).
cnf(c_0_70,plain,
inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(b2,multiply(inverse(b2),multiply(inverse(b2),b2)))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_67]),c_0_29]) ).
cnf(c_0_71,plain,
multiply(inverse(X1),multiply(multiply(inverse(b2),b2),b2)) = multiply(inverse(X1),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_66]),c_0_12]) ).
cnf(c_0_72,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),multiply(inverse(b2),b2)))))),multiply(X1,X3))) = inverse(multiply(inverse(multiply(b2,inverse(multiply(X2,multiply(inverse(b2),multiply(inverse(b2),b2)))))),multiply(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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_3]),c_0_44]),c_0_29]),c_0_29]),c_0_44]),c_0_20]),c_0_27]),c_0_29]),c_0_39]),c_0_20]),c_0_27]),c_0_44]),c_0_29]),c_0_29]),c_0_44]),c_0_20]),c_0_27]),c_0_29]),c_0_39]),c_0_20]),c_0_27]),c_0_44]),c_0_68]) ).
cnf(c_0_73,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))))) = inverse(X2),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
cnf(c_0_74,plain,
inverse(multiply(inverse(b2),multiply(inverse(b2),b2))) = multiply(multiply(inverse(b2),b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_18]),c_0_60]),c_0_54]) ).
cnf(c_0_75,plain,
inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,multiply(inverse(b2),multiply(inverse(b2),b2)))))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_50]),c_0_50]) ).
cnf(c_0_76,plain,
multiply(X1,multiply(multiply(inverse(b2),b2),b2)) = multiply(X1,b2),
inference(spm,[status(thm)],[c_0_71,c_0_8]) ).
cnf(c_0_77,plain,
inverse(multiply(inverse(multiply(b2,inverse(multiply(b2,multiply(inverse(b2),multiply(inverse(b2),b2)))))),multiply(b2,b2))) = inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_70]),c_0_23]) ).
cnf(c_0_78,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))))) = inverse(X2),
inference(spm,[status(thm)],[c_0_73,c_0_11]) ).
cnf(c_0_79,plain,
inverse(multiply(inverse(b2),multiply(inverse(X1),X1))) = multiply(multiply(inverse(b2),b2),b2),
inference(spm,[status(thm)],[c_0_74,c_0_18]) ).
cnf(c_0_80,plain,
inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,b2))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_75]),c_0_76]),c_0_66]),c_0_77]) ).
cnf(c_0_81,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(X2,inverse(multiply(inverse(X3),X3)))))) = X2,
inference(spm,[status(thm)],[c_0_78,c_0_8]) ).
cnf(c_0_82,plain,
multiply(multiply(inverse(b2),b2),b2) = inverse(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_79]),c_0_76]),c_0_63]),c_0_54]),c_0_51]),c_0_77]),c_0_80]) ).
cnf(c_0_83,plain,
inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(X1,multiply(inverse(b2),b2))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_54]),c_0_29]),c_0_54]) ).
cnf(c_0_84,plain,
inverse(multiply(inverse(b2),multiply(inverse(X1),X1))) = inverse(inverse(b2)),
inference(rw,[status(thm)],[c_0_79,c_0_82]) ).
cnf(c_0_85,plain,
inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(spm,[status(thm)],[c_0_83,c_0_18]) ).
cnf(c_0_86,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(X1),X2)) = multiply(inverse(multiply(b2,X1)),multiply(b2,X2)),
inference(rw,[status(thm)],[c_0_23,c_0_54]) ).
cnf(c_0_87,plain,
inverse(multiply(inverse(inverse(b2)),multiply(inverse(b2),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_84]),c_0_29]),c_0_54]),c_0_54]),c_0_60]),c_0_11]),c_0_54]),c_0_29]),c_0_54]),c_0_54]),c_0_60]),c_0_60]) ).
cnf(c_0_88,plain,
inverse(inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,multiply(inverse(X2),X2))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,plain,
multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,b2)) = inverse(inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_87]),c_0_77]),c_0_80]) ).
cnf(c_0_90,plain,
inverse(inverse(inverse(b2))) = inverse(b2),
inference(rw,[status(thm)],[c_0_66,c_0_82]) ).
cnf(c_0_91,plain,
inverse(inverse(multiply(X1,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_8,c_0_88]),c_0_54]),c_0_32]),c_0_54]),c_0_54]),c_0_60]) ).
cnf(c_0_92,plain,
multiply(inverse(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_89]),c_0_90]),c_0_54]),c_0_29]),c_0_54]),c_0_11]),c_0_54]),c_0_60]),c_0_60]),c_0_54]) ).
cnf(c_0_93,plain,
inverse(multiply(inverse(b2),X1)) = multiply(inverse(X1),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_91,c_0_12]),c_0_29]),c_0_54]),c_0_29]),c_0_54]),c_0_54]),c_0_60]),c_0_69]),c_0_91]) ).
cnf(c_0_94,plain,
multiply(inverse(X1),inverse(multiply(inverse(inverse(multiply(X2,multiply(inverse(X1),inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(b2),b2))))) = inverse(multiply(inverse(multiply(b2,inverse(multiply(X2,multiply(inverse(b2),inverse(multiply(inverse(b2),b2))))))),multiply(b2,b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_29]),c_0_11]),c_0_34]) ).
cnf(c_0_95,plain,
inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(b2),inverse(multiply(inverse(b2),b2))))))),multiply(X1,b2)))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_96,plain,
multiply(inverse(b2),multiply(inverse(X1),X1)) = inverse(b2),
inference(spm,[status(thm)],[c_0_18,c_0_92]) ).
cnf(c_0_97,plain,
inverse(inverse(multiply(b2,multiply(inverse(b2),multiply(inverse(b2),b2))))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[c_0_67,c_0_50]) ).
cnf(c_0_98,plain,
multiply(X1,inverse(multiply(X1,multiply(inverse(X2),X2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[c_0_46,c_0_50]) ).
cnf(c_0_99,plain,
multiply(inverse(inverse(multiply(X1,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_93,c_0_94]),c_0_95]),c_0_39]),c_0_96]),c_0_54]),c_0_91]) ).
cnf(c_0_100,plain,
inverse(inverse(multiply(b2,inverse(b2)))) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_101,plain,
multiply(inverse(inverse(b2)),inverse(b2)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_89]),c_0_79]),c_0_82]),c_0_90]) ).
cnf(c_0_102,plain,
inverse(inverse(b2)) = b2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_82]) ).
cnf(c_0_103,plain,
multiply(inverse(inverse(b2)),multiply(inverse(X1),X1)) = inverse(inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_89]),c_0_79]),c_0_82]) ).
cnf(c_0_104,plain,
inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) = X1,
inference(spm,[status(thm)],[c_0_91,c_0_18]) ).
cnf(c_0_105,plain,
multiply(inverse(b2),b2) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
multiply(b2,multiply(inverse(X1),X1)) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_102]),c_0_102]) ).
cnf(c_0_107,plain,
inverse(inverse(multiply(X1,multiply(b2,inverse(b2))))) = X1,
inference(spm,[status(thm)],[c_0_104,c_0_102]) ).
cnf(c_0_108,plain,
inverse(multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_105]),c_0_105]) ).
cnf(c_0_109,plain,
multiply(b2,multiply(b2,inverse(b2))) = b2,
inference(spm,[status(thm)],[c_0_106,c_0_102]) ).
cnf(c_0_110,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(spm,[status(thm)],[c_0_8,c_0_107]),c_0_102]),c_0_102]),c_0_108]),c_0_109]) ).
cnf(c_0_111,plain,
inverse(inverse(multiply(X1,inverse(b2)))) = inverse(multiply(b2,inverse(X1))),
inference(spm,[status(thm)],[c_0_110,c_0_99]) ).
cnf(c_0_112,plain,
multiply(inverse(multiply(multiply(b2,inverse(b2)),X1)),b2) = multiply(inverse(X1),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_93]),c_0_105]) ).
cnf(c_0_113,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_114,plain,
multiply(inverse(multiply(b2,inverse(X1))),b2) = X1,
inference(rw,[status(thm)],[c_0_99,c_0_111]) ).
cnf(c_0_115,plain,
inverse(multiply(multiply(b2,inverse(b2)),X1)) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_112]),c_0_110]) ).
cnf(c_0_116,negated_conjecture,
multiply(multiply(b2,inverse(b2)),a2) != a2,
inference(rw,[status(thm)],[c_0_113,c_0_105]) ).
cnf(c_0_117,plain,
multiply(multiply(b2,inverse(b2)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_114]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP422-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Aug 28 22:55:13 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 2.05/2.22 % Version : CSE_E---1.5
% 2.05/2.22 % Problem : theBenchmark.p
% 2.05/2.22 % Proof found
% 2.05/2.22 % SZS status Theorem for theBenchmark.p
% 2.05/2.22 % SZS output start Proof
% See solution above
% 2.05/2.22 % Total time : 1.640000 s
% 2.05/2.22 % SZS output end Proof
% 2.05/2.22 % Total time : 1.643000 s
%------------------------------------------------------------------------------