TSTP Solution File: GRP420-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP420-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:40:49 EDT 2023
% Result : Unsatisfiable 2.25s 0.83s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.PwXoAO3cAR/E---3.1_32628.p',single_axiom) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/tmp/tmp.PwXoAO3cAR/E---3.1_32628.p',prove_these_axioms_3) ).
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,
multiply(inverse(multiply(a3,inverse(multiply(inverse(inverse(X1)),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)) = X1,
inference(rw,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]),c_0_3]),c_0_4]) ).
cnf(c_0_6,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_5,c_0_3]),c_0_3]),c_0_5]) ).
cnf(c_0_7,plain,
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(X2,inverse(multiply(multiply(X4,X6),inverse(multiply(inverse(multiply(X4,X6)),multiply(X4,X6))))))))),X5),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(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))))))))),multiply(inverse(multiply(X5,inverse(multiply(X2,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6))) = multiply(inverse(multiply(X7,inverse(multiply(X4,inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X7,X8)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_9,plain,
inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(a3,inverse(multiply(inverse(X2),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)))),multiply(X1,X3))) = 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(X2,inverse(multiply(multiply(X4,X5),inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X5)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_5]),c_0_3]) ).
cnf(c_0_10,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(a3,inverse(multiply(inverse(X2),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)))),multiply(X1,X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(a3,inverse(multiply(X2,inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_8]),c_0_5]) ).
cnf(c_0_11,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(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_5,c_0_9]),c_0_5]),c_0_5]) ).
cnf(c_0_12,plain,
multiply(inverse(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(a3,inverse(multiply(inverse(X2),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(a3,a3),inverse(multiply(inverse(multiply(a3,a3)),multiply(a3,a3))))))))),X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(a3,inverse(multiply(X2,inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)),
inference(spm,[status(thm)],[c_0_10,c_0_5]) ).
cnf(c_0_13,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X5)),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(X2))),X5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_11]),c_0_5]) ).
cnf(c_0_14,plain,
multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(a3,inverse(multiply(inverse(X2),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_5]) ).
cnf(c_0_15,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_14]),c_0_5]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X3),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_15]),c_0_5]) ).
cnf(c_0_17,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_16,c_0_16]) ).
cnf(c_0_18,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))))) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_19,plain,
inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X2),X2))),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_20,plain,
multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_19]),c_0_11]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(X3,inverse(multiply(inverse(X3),X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_17]),c_0_5]) ).
cnf(c_0_22,plain,
multiply(multiply(inverse(a3),a3),inverse(multiply(inverse(X1),multiply(inverse(a3),a3)))) = 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_11,c_0_17]),c_0_20]),c_0_20]),c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_23,plain,
multiply(inverse(multiply(X1,multiply(inverse(a3),a3))),multiply(X1,X2)) = multiply(X2,multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20]),c_0_20]) ).
cnf(c_0_24,plain,
multiply(multiply(inverse(a3),a3),inverse(multiply(a3,multiply(inverse(a3),a3)))) = multiply(inverse(a3),multiply(inverse(a3),a3)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
multiply(multiply(inverse(a3),a3),multiply(inverse(a3),a3)) = multiply(inverse(a3),a3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_23]),c_0_20]) ).
cnf(c_0_26,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_5]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(a3,multiply(inverse(a3),a3))),multiply(inverse(a3),a3)) = multiply(multiply(inverse(a3),a3),multiply(inverse(a3),multiply(inverse(a3),a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_20]) ).
cnf(c_0_28,plain,
multiply(multiply(inverse(a3),a3),multiply(inverse(inverse(X1)),X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_20]) ).
cnf(c_0_29,plain,
multiply(multiply(inverse(a3),a3),inverse(multiply(multiply(inverse(a3),a3),multiply(inverse(a3),multiply(inverse(a3),a3))))) = multiply(a3,multiply(inverse(a3),a3)),
inference(spm,[status(thm)],[c_0_22,c_0_27]) ).
cnf(c_0_30,plain,
multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_31,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(multiply(X3,inverse(X4)),multiply(inverse(a3),a3))))))),multiply(X1,multiply(X3,inverse(X4)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_26]),c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_32,plain,
inverse(multiply(inverse(multiply(a3,inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(a3),a3))))))),multiply(a3,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(X4,multiply(inverse(a3),a3))))))),multiply(X3,X4)),
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_17]),c_0_20]),c_0_20]),c_0_28]),c_0_20]) ).
cnf(c_0_33,plain,
multiply(inverse(multiply(a3,inverse(multiply(inverse(X1),inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3)) = multiply(multiply(inverse(a3),a3),inverse(multiply(X1,multiply(inverse(a3),a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_19]),c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_34,plain,
multiply(inverse(inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X4)))),inverse(multiply(X4,inverse(multiply(inverse(X4),X4))))) = multiply(X3,inverse(multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(multiply(inverse(a3),a3),multiply(inverse(a3),multiply(inverse(a3),a3)))),multiply(inverse(a3),a3)) = multiply(multiply(inverse(a3),a3),multiply(a3,multiply(inverse(a3),a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_29]),c_0_30]),c_0_20]) ).
cnf(c_0_36,plain,
inverse(multiply(multiply(inverse(a3),a3),inverse(multiply(X1,multiply(inverse(a3),a3))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_37,plain,
multiply(inverse(inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X3)))),X4)))),inverse(multiply(X4,multiply(inverse(a3),a3)))) = multiply(X3,multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_20]),c_0_20]) ).
cnf(c_0_38,plain,
multiply(multiply(inverse(a3),a3),inverse(multiply(multiply(inverse(a3),a3),multiply(a3,multiply(inverse(a3),a3))))) = multiply(multiply(inverse(a3),a3),multiply(inverse(a3),multiply(inverse(a3),a3))),
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_39,plain,
inverse(multiply(inverse(a3),multiply(inverse(a3),a3))) = a3,
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(multiply(inverse(a3),a3),multiply(a3,multiply(inverse(a3),a3)))),multiply(inverse(a3),a3)) = multiply(multiply(inverse(a3),multiply(inverse(a3),a3)),multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_37]) ).
cnf(c_0_41,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_42,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(X3,multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_43,plain,
multiply(multiply(inverse(a3),a3),a3) = a3,
inference(spm,[status(thm)],[c_0_22,c_0_39]) ).
cnf(c_0_44,plain,
multiply(multiply(inverse(a3),a3),inverse(multiply(multiply(inverse(a3),multiply(inverse(a3),a3)),multiply(inverse(a3),a3)))) = multiply(multiply(inverse(a3),a3),multiply(a3,multiply(inverse(a3),a3))),
inference(spm,[status(thm)],[c_0_22,c_0_40]) ).
cnf(c_0_45,plain,
multiply(a3,multiply(inverse(a3),X1)) = multiply(X1,multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_23]) ).
cnf(c_0_46,plain,
multiply(a3,multiply(inverse(X1),X1)) = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_30]),c_0_20]),c_0_43]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(multiply(inverse(a3),multiply(inverse(a3),a3)),multiply(inverse(a3),a3))),multiply(inverse(a3),a3)) = multiply(multiply(a3,multiply(inverse(a3),a3)),multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_37]) ).
cnf(c_0_48,plain,
multiply(a3,multiply(inverse(a3),X1)) = multiply(X1,multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_45,c_0_17]) ).
cnf(c_0_49,plain,
multiply(inverse(a3),multiply(a3,X1)) = multiply(X1,multiply(inverse(X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_46]),c_0_42]) ).
cnf(c_0_50,plain,
multiply(multiply(inverse(a3),a3),inverse(multiply(multiply(a3,multiply(inverse(a3),a3)),multiply(inverse(a3),a3)))) = multiply(multiply(inverse(a3),multiply(inverse(a3),a3)),multiply(inverse(a3),a3)),
inference(spm,[status(thm)],[c_0_22,c_0_47]) ).
cnf(c_0_51,plain,
multiply(inverse(a3),multiply(a3,X1)) = multiply(a3,multiply(inverse(a3),X1)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,plain,
multiply(multiply(inverse(a3),a3),inverse(a3)) = multiply(a3,multiply(inverse(a3),inverse(a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_46]),c_0_45]) ).
cnf(c_0_53,plain,
inverse(multiply(a3,multiply(inverse(a3),inverse(a3)))) = a3,
inference(rw,[status(thm)],[c_0_39,c_0_45]) ).
cnf(c_0_54,plain,
multiply(a3,multiply(a3,multiply(inverse(a3),multiply(inverse(a3),inverse(a3))))) = multiply(a3,multiply(inverse(a3),inverse(a3))),
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_50,c_0_45]),c_0_46]),c_0_46]),c_0_45]),c_0_45]),c_0_51]),c_0_52]) ).
cnf(c_0_55,plain,
multiply(multiply(inverse(X1),X1),a3) = a3,
inference(spm,[status(thm)],[c_0_43,c_0_17]) ).
cnf(c_0_56,plain,
multiply(inverse(multiply(a3,inverse(multiply(a3,inverse(a3))))),multiply(a3,a3)) = a3,
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_33,c_0_53]),c_0_46]),c_0_48]),c_0_51]),c_0_54]),c_0_53]),c_0_55]) ).
cnf(c_0_57,plain,
multiply(inverse(a3),a3) = multiply(a3,inverse(a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_56]),c_0_20]),c_0_46]),c_0_20]),c_0_20]) ).
cnf(c_0_58,plain,
multiply(X1,multiply(inverse(X2),X2)) = multiply(X1,multiply(a3,inverse(a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_20]),c_0_5]),c_0_20]),c_0_57]),c_0_42]) ).
cnf(c_0_59,plain,
multiply(a3,multiply(inverse(a3),inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(X2)),inverse(multiply(X1,multiply(inverse(a3),a3))))))))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_17]),c_0_20]),c_0_48]) ).
cnf(c_0_60,plain,
multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,multiply(inverse(a3),a3))))))),inverse(X4))),X2))),inverse(multiply(multiply(X1,X3),multiply(inverse(a3),a3)))) = X4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_20]),c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_61,plain,
multiply(inverse(X1),X1) = multiply(a3,inverse(a3)),
inference(spm,[status(thm)],[c_0_17,c_0_57]) ).
cnf(c_0_62,plain,
multiply(a3,multiply(inverse(a3),X1)) = multiply(X1,multiply(a3,inverse(a3))),
inference(rw,[status(thm)],[c_0_48,c_0_58]) ).
cnf(c_0_63,plain,
multiply(a3,multiply(inverse(a3),inverse(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_59,c_0_17]),c_0_20]),c_0_20]),c_0_20]),c_0_22]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(inverse(inverse(X1)),inverse(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_18]),c_0_19]),c_0_20]),c_0_20]),c_0_25]),c_0_25]),c_0_20]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_65,plain,
inverse(multiply(a3,inverse(a3))) = multiply(a3,inverse(a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_61]),c_0_19]),c_0_20]),c_0_61]) ).
cnf(c_0_66,plain,
multiply(multiply(a3,inverse(a3)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_61]),c_0_65]) ).
cnf(c_0_67,plain,
multiply(inverse(multiply(X1,multiply(a3,inverse(a3)))),multiply(X1,a3)) = a3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_56]),c_0_65]) ).
cnf(c_0_68,plain,
multiply(multiply(inverse(X1),X1),inverse(a3)) = multiply(a3,multiply(inverse(a3),inverse(a3))),
inference(spm,[status(thm)],[c_0_52,c_0_17]) ).
cnf(c_0_69,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5))) = multiply(inverse(multiply(X6,inverse(X3))),multiply(X6,multiply(X1,X5))),
inference(spm,[status(thm)],[c_0_26,c_0_26]) ).
cnf(c_0_70,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_66]),c_0_66]) ).
cnf(c_0_71,plain,
multiply(a3,multiply(a3,inverse(a3))) = a3,
inference(rw,[status(thm)],[c_0_46,c_0_58]) ).
cnf(c_0_72,plain,
multiply(inverse(multiply(a3,multiply(inverse(a3),X1))),multiply(X1,a3)) = a3,
inference(spm,[status(thm)],[c_0_67,c_0_62]) ).
cnf(c_0_73,plain,
multiply(inverse(multiply(X1,inverse(a3))),multiply(X1,X2)) = multiply(multiply(a3,inverse(a3)),multiply(a3,X2)),
inference(spm,[status(thm)],[c_0_41,c_0_65]) ).
cnf(c_0_74,plain,
multiply(multiply(a3,inverse(a3)),inverse(a3)) = multiply(a3,multiply(inverse(a3),inverse(a3))),
inference(rw,[status(thm)],[c_0_68,c_0_61]) ).
cnf(c_0_75,plain,
multiply(multiply(inverse(a3),a3),inverse(multiply(a3,multiply(a3,multiply(inverse(a3),multiply(inverse(a3),inverse(a3))))))) = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_46]),c_0_43]),c_0_45]),c_0_45]),c_0_51]) ).
cnf(c_0_76,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,multiply(X3,X4))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X5)),inverse(multiply(X4,multiply(inverse(a3),a3))))))),inverse(X2))),X5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_69]),c_0_20]) ).
cnf(c_0_77,plain,
multiply(a3,multiply(inverse(a3),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_51]),c_0_65]),c_0_66]) ).
cnf(c_0_78,plain,
multiply(inverse(X1),multiply(inverse(inverse(X1)),a3)) = a3,
inference(spm,[status(thm)],[c_0_72,c_0_63]) ).
cnf(c_0_79,plain,
multiply(inverse(multiply(inverse(a3),inverse(a3))),a3) = multiply(multiply(a3,inverse(a3)),multiply(a3,multiply(a3,a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_56]),c_0_65]),c_0_71]) ).
cnf(c_0_80,plain,
multiply(multiply(a3,inverse(a3)),multiply(a3,X1)) = multiply(a3,multiply(multiply(a3,inverse(a3)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_53]) ).
cnf(c_0_81,plain,
multiply(multiply(a3,inverse(a3)),a3) = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_57]),c_0_54]),c_0_53]) ).
cnf(c_0_82,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),inverse(X3))),multiply(inverse(X4),X4)) = multiply(inverse(multiply(a3,inverse(X3))),multiply(a3,multiply(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_20]),c_0_76]) ).
cnf(c_0_83,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[c_0_63,c_0_77]) ).
cnf(c_0_84,plain,
multiply(X1,multiply(inverse(X1),a3)) = a3,
inference(spm,[status(thm)],[c_0_78,c_0_36]) ).
cnf(c_0_85,plain,
multiply(inverse(multiply(inverse(a3),inverse(a3))),a3) = multiply(a3,multiply(a3,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_80]),c_0_81]) ).
cnf(c_0_86,plain,
inverse(multiply(inverse(multiply(X1,X2)),inverse(X3))) = multiply(X3,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_48]),c_0_77]),c_0_70]),c_0_83]) ).
cnf(c_0_87,plain,
multiply(multiply(inverse(a3),inverse(a3)),multiply(a3,multiply(a3,a3))) = a3,
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,plain,
multiply(X1,multiply(a3,inverse(a3))) = X1,
inference(rw,[status(thm)],[c_0_62,c_0_77]) ).
cnf(c_0_89,plain,
inverse(multiply(inverse(a3),inverse(X1))) = multiply(X1,a3),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_88]),c_0_65]),c_0_66]) ).
cnf(c_0_91,plain,
multiply(inverse(a3),inverse(X1)) = inverse(multiply(X1,a3)),
inference(spm,[status(thm)],[c_0_83,c_0_89]) ).
cnf(c_0_92,plain,
multiply(inverse(multiply(X1,inverse(a3))),multiply(X1,X2)) = multiply(a3,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_80]),c_0_66]) ).
cnf(c_0_93,plain,
multiply(inverse(multiply(a3,multiply(a3,multiply(inverse(a3),X1)))),multiply(multiply(a3,X1),a3)) = a3,
inference(spm,[status(thm)],[c_0_72,c_0_51]) ).
cnf(c_0_94,plain,
multiply(X1,multiply(inverse(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_90,c_0_36]),c_0_61]),c_0_61]),c_0_88]),c_0_66]) ).
cnf(c_0_95,plain,
multiply(a3,inverse(multiply(X1,a3))) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_83]) ).
cnf(c_0_96,plain,
multiply(multiply(a3,multiply(a3,X1)),a3) = multiply(a3,multiply(multiply(a3,X1),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_86]) ).
cnf(c_0_97,plain,
multiply(multiply(X1,a3),X2) = multiply(X1,multiply(a3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_95]),c_0_83]),c_0_83]) ).
cnf(c_0_98,plain,
multiply(multiply(a3,X1),a3) = multiply(a3,multiply(X1,a3)),
inference(spm,[status(thm)],[c_0_96,c_0_94]) ).
cnf(c_0_99,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),inverse(X3))),multiply(inverse(multiply(X4,X2)),multiply(X4,X5))) = multiply(inverse(multiply(X6,inverse(X3))),multiply(X6,multiply(X1,X5))),
inference(spm,[status(thm)],[c_0_69,c_0_18]) ).
cnf(c_0_100,plain,
multiply(multiply(a3,multiply(X1,a3)),X2) = multiply(multiply(a3,X1),multiply(a3,X2)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
multiply(multiply(X1,multiply(X2,X3)),multiply(inverse(X3),X4)) = multiply(X1,multiply(X2,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_70]),c_0_70]),c_0_86]),c_0_83]) ).
cnf(c_0_102,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
prove_these_axioms_3 ).
cnf(c_0_103,plain,
multiply(multiply(a3,X1),X2) = multiply(a3,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_94]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP420-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n003.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
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 02:51:33 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.PwXoAO3cAR/E---3.1_32628.p
% 2.25/0.83 # Version: 3.1pre001
% 2.25/0.83 # Preprocessing class: FSSSSMSSSSSNFFN.
% 2.25/0.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.83 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 2.25/0.83 # Starting new_bool_3 with 300s (1) cores
% 2.25/0.83 # Starting new_bool_1 with 300s (1) cores
% 2.25/0.83 # Starting sh5l with 300s (1) cores
% 2.25/0.83 # new_bool_1 with pid 32708 completed with status 8
% 2.25/0.83 # new_bool_3 with pid 32707 completed with status 8
% 2.25/0.83 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 32706 completed with status 0
% 2.25/0.83 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 2.25/0.83 # Preprocessing class: FSSSSMSSSSSNFFN.
% 2.25/0.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.83 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 2.25/0.83 # No SInE strategy applied
% 2.25/0.83 # Search class: FUUPF-FFSF21-DFFFFFNN
% 2.25/0.83 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.25/0.83 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 2.25/0.83 # Starting new_bool_3 with 136s (1) cores
% 2.25/0.83 # Starting new_bool_1 with 136s (1) cores
% 2.25/0.83 # Starting sh5l with 136s (1) cores
% 2.25/0.83 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 32712 completed with status 0
% 2.25/0.83 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 2.25/0.83 # Preprocessing class: FSSSSMSSSSSNFFN.
% 2.25/0.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.83 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 2.25/0.83 # No SInE strategy applied
% 2.25/0.83 # Search class: FUUPF-FFSF21-DFFFFFNN
% 2.25/0.83 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 2.25/0.83 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 2.25/0.83 # Preprocessing time : 0.001 s
% 2.25/0.83
% 2.25/0.83 # Proof found!
% 2.25/0.83 # SZS status Unsatisfiable
% 2.25/0.83 # SZS output start CNFRefutation
% See solution above
% 2.25/0.83 # Parsed axioms : 2
% 2.25/0.83 # Removed by relevancy pruning/SinE : 0
% 2.25/0.83 # Initial clauses : 2
% 2.25/0.83 # Removed in clause preprocessing : 0
% 2.25/0.83 # Initial clauses in saturation : 2
% 2.25/0.83 # Processed clauses : 510
% 2.25/0.83 # ...of these trivial : 154
% 2.25/0.83 # ...subsumed : 161
% 2.25/0.83 # ...remaining for further processing : 195
% 2.25/0.83 # Other redundant clauses eliminated : 0
% 2.25/0.83 # Clauses deleted for lack of memory : 0
% 2.25/0.83 # Backward-subsumed : 5
% 2.25/0.83 # Backward-rewritten : 159
% 2.25/0.83 # Generated clauses : 14661
% 2.25/0.83 # ...of the previous two non-redundant : 13502
% 2.25/0.83 # ...aggressively subsumed : 0
% 2.25/0.83 # Contextual simplify-reflections : 0
% 2.25/0.83 # Paramodulations : 14661
% 2.25/0.83 # Factorizations : 0
% 2.25/0.83 # NegExts : 0
% 2.25/0.83 # Equation resolutions : 0
% 2.25/0.83 # Total rewrite steps : 25481
% 2.25/0.83 # Propositional unsat checks : 0
% 2.25/0.83 # Propositional check models : 0
% 2.25/0.83 # Propositional check unsatisfiable : 0
% 2.25/0.83 # Propositional clauses : 0
% 2.25/0.83 # Propositional clauses after purity: 0
% 2.25/0.83 # Propositional unsat core size : 0
% 2.25/0.83 # Propositional preprocessing time : 0.000
% 2.25/0.83 # Propositional encoding time : 0.000
% 2.25/0.83 # Propositional solver time : 0.000
% 2.25/0.83 # Success case prop preproc time : 0.000
% 2.25/0.83 # Success case prop encoding time : 0.000
% 2.25/0.83 # Success case prop solver time : 0.000
% 2.25/0.83 # Current number of processed clauses : 31
% 2.25/0.83 # Positive orientable unit clauses : 30
% 2.25/0.83 # Positive unorientable unit clauses: 1
% 2.25/0.83 # Negative unit clauses : 0
% 2.25/0.83 # Non-unit-clauses : 0
% 2.25/0.83 # Current number of unprocessed clauses: 8875
% 2.25/0.83 # ...number of literals in the above : 8875
% 2.25/0.83 # Current number of archived formulas : 0
% 2.25/0.83 # Current number of archived clauses : 164
% 2.25/0.83 # Clause-clause subsumption calls (NU) : 0
% 2.25/0.83 # Rec. Clause-clause subsumption calls : 0
% 2.25/0.83 # Non-unit clause-clause subsumptions : 0
% 2.25/0.83 # Unit Clause-clause subsumption calls : 347
% 2.25/0.83 # Rewrite failures with RHS unbound : 0
% 2.25/0.83 # BW rewrite match attempts : 1417
% 2.25/0.83 # BW rewrite match successes : 339
% 2.25/0.83 # Condensation attempts : 0
% 2.25/0.83 # Condensation successes : 0
% 2.25/0.83 # Termbank termtop insertions : 672098
% 2.25/0.83
% 2.25/0.83 # -------------------------------------------------
% 2.25/0.83 # User time : 0.376 s
% 2.25/0.83 # System time : 0.017 s
% 2.25/0.83 # Total time : 0.393 s
% 2.25/0.83 # Maximum resident set size: 1504 pages
% 2.25/0.83
% 2.25/0.83 # -------------------------------------------------
% 2.25/0.83 # User time : 1.965 s
% 2.25/0.83 # System time : 0.044 s
% 2.25/0.83 # Total time : 2.009 s
% 2.25/0.83 # Maximum resident set size: 1676 pages
% 2.25/0.83 % E---3.1 exiting
% 2.25/0.83 % E---3.1 exiting
%------------------------------------------------------------------------------