TSTP Solution File: GRP508-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP508-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 17:49:09 EDT 2023
% Result : Unsatisfiable 23.10s 4.21s
% Output : CNFRefutation 23.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
file('/export/starexec/sandbox2/tmp/tmp.PjoYDkRyNt/E---3.1_22990.p',single_axiom) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/tmp/tmp.PjoYDkRyNt/E---3.1_22990.p',prove_these_axioms_4) ).
cnf(c_0_2,axiom,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(X6)),inverse(X4))))))),X6) = X5,
single_axiom ).
cnf(c_0_3,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X10))))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),inverse(X6)) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6),X7),inverse(X7)) = multiply(X5,inverse(inverse(X6))),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,inverse(X3)),inverse(inverse(X3))),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(multiply(X1,X2),inverse(X2)) = multiply(multiply(X1,X3),inverse(X3)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X7),inverse(X7)) = multiply(X5,X4),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(a,a)),multiply(a,a))),multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X3,inverse(a))))))),multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),inverse(multiply(X6,inverse(multiply(inverse(multiply(X7,X8)),multiply(X7,inverse(multiply(X3,inverse(X8)))))))))))),X9) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a,a)),multiply(a,a))),multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X6,inverse(a))))))),X9),
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_10,plain,
multiply(X1,multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3)))))) = multiply(X1,multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X4,inverse(a)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_4]) ).
cnf(c_0_11,plain,
multiply(X1,multiply(inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),X4)),multiply(multiply(X2,X5),inverse(X5)))) = multiply(X1,multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X3,inverse(a)))))),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_12,plain,
multiply(X1,multiply(inverse(multiply(multiply(X2,multiply(multiply(X3,X4),inverse(X4))),X5)),multiply(multiply(X2,X6),inverse(X6)))) = multiply(X1,multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(multiply(X3,X5),inverse(a)))))),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_13,plain,
multiply(X1,multiply(inverse(X2),X2)) = multiply(X1,multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),inverse(a)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_4]),c_0_4]) ).
cnf(c_0_14,plain,
multiply(X1,multiply(inverse(X2),X2)) = multiply(X1,multiply(inverse(X3),X3)),
inference(spm,[status(thm)],[c_0_13,c_0_13]) ).
cnf(c_0_15,plain,
multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))) = multiply(X3,inverse(multiply(multiply(X3,X4),inverse(X4)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_4]) ).
cnf(c_0_16,plain,
multiply(X1,inverse(inverse(multiply(inverse(X2),X2)))) = multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_14]),c_0_5]) ).
cnf(c_0_17,plain,
multiply(multiply(X1,inverse(multiply(multiply(X1,X2),inverse(X2)))),inverse(inverse(X3))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_15]),c_0_4]) ).
cnf(c_0_18,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(X5,X6),inverse(X6))))))),X4) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_19,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_20,plain,
multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(inverse(X3))) = multiply(multiply(multiply(X1,X3),X4),inverse(X4)),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(inverse(X1),X1)),multiply(multiply(X2,X3),inverse(X3))) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
multiply(multiply(multiply(inverse(multiply(inverse(X1),X1)),X2),X3),inverse(X3)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]) ).
cnf(c_0_23,plain,
multiply(multiply(multiply(inverse(X1),X1),X2),inverse(X2)) = multiply(inverse(X3),X3),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_24,plain,
multiply(multiply(inverse(X1),X1),X2) = inverse(inverse(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_23]),c_0_8]) ).
cnf(c_0_25,plain,
multiply(multiply(inverse(X1),X2),inverse(X2)) = inverse(inverse(inverse(X1))),
inference(spm,[status(thm)],[c_0_7,c_0_24]) ).
cnf(c_0_26,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(multiply(X5,X4),X6),inverse(X6))))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_20]),c_0_2]) ).
cnf(c_0_27,plain,
multiply(multiply(X1,X2),inverse(X2)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
inverse(inverse(multiply(inverse(X1),X1))) = multiply(inverse(a),a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_19]) ).
cnf(c_0_29,plain,
inverse(multiply(inverse(a),a)) = multiply(inverse(a),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_28]),c_0_24]),c_0_28]),c_0_28]) ).
cnf(c_0_30,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_29,c_0_19]) ).
cnf(c_0_31,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(multiply(X5,X6),inverse(X6)),inverse(X4))))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_2]) ).
cnf(c_0_32,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))) = inverse(multiply(inverse(multiply(inverse(a),a)),multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X5,inverse(a))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_2]),c_0_3]),c_0_19]),c_0_2]) ).
cnf(c_0_33,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_18,c_0_30]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_30]),c_0_27]),c_0_27]),c_0_27]),c_0_27]),c_0_24]),c_0_30]),c_0_30]),c_0_27]),c_0_24]) ).
cnf(c_0_34,plain,
inverse(inverse(inverse(multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(inverse(inverse(X1)),inverse(a)))))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_30]),c_0_27]),c_0_24]) ).
cnf(c_0_35,plain,
multiply(multiply(X1,inverse(inverse(inverse(X2)))),X2) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_27,c_0_33]) ).
cnf(c_0_36,plain,
multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))),
inference(spm,[status(thm)],[c_0_27,c_0_27]) ).
cnf(c_0_37,plain,
multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(inverse(inverse(X1)),inverse(a))))) = inverse(X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33]) ).
cnf(c_0_39,plain,
multiply(inverse(multiply(a,a)),multiply(a,inverse(X1))) = inverse(multiply(X1,inverse(inverse(a)))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
inverse(inverse(inverse(multiply(inverse(X1),a)))) = multiply(inverse(multiply(a,a)),multiply(a,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_36]) ).
cnf(c_0_41,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = multiply(X2,inverse(inverse(inverse(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_17]),c_0_4]) ).
cnf(c_0_42,plain,
inverse(multiply(inverse(multiply(a,a)),multiply(a,X1))) = multiply(inverse(X1),a),
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
cnf(c_0_43,plain,
multiply(X1,inverse(inverse(inverse(X1)))) = multiply(inverse(a),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_28]),c_0_24]),c_0_28]) ).
cnf(c_0_44,plain,
inverse(multiply(inverse(multiply(a,a)),multiply(inverse(a),a))) = multiply(a,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_33]) ).
cnf(c_0_45,plain,
inverse(multiply(inverse(multiply(a,a)),multiply(inverse(X1),X1))) = multiply(a,a),
inference(spm,[status(thm)],[c_0_44,c_0_19]) ).
cnf(c_0_46,plain,
inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_30]),c_0_30]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(a,a)),multiply(inverse(X1),X1)) = inverse(inverse(inverse(multiply(a,a)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_39]),c_0_27]),c_0_33]) ).
cnf(c_0_48,plain,
multiply(inverse(inverse(inverse(multiply(a,a)))),multiply(inverse(X1),X1)) = inverse(multiply(a,a)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_33]) ).
cnf(c_0_49,plain,
inverse(inverse(inverse(multiply(a,a)))) = inverse(multiply(a,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_48]),c_0_30]),c_0_47]),c_0_33]) ).
cnf(c_0_50,plain,
inverse(inverse(multiply(a,a))) = multiply(a,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_33]) ).
cnf(c_0_51,plain,
inverse(inverse(multiply(X1,inverse(inverse(X2))))) = multiply(inverse(inverse(X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_35]),c_0_33]) ).
cnf(c_0_52,plain,
inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(inverse(inverse(X5))))))))) = multiply(X5,X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_25]),c_0_27]) ).
cnf(c_0_53,plain,
multiply(inverse(multiply(a,a)),multiply(inverse(X1),X1)) = inverse(multiply(a,a)),
inference(rw,[status(thm)],[c_0_47,c_0_49]) ).
cnf(c_0_54,plain,
multiply(multiply(a,a),inverse(multiply(a,a))) = multiply(inverse(a),a),
inference(spm,[status(thm)],[c_0_43,c_0_50]) ).
cnf(c_0_55,plain,
inverse(inverse(multiply(X1,multiply(X2,inverse(inverse(X3)))))) = multiply(inverse(inverse(X1)),multiply(inverse(inverse(X2)),X3)),
inference(spm,[status(thm)],[c_0_36,c_0_51]) ).
cnf(c_0_56,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_57,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(inverse(X3)))))) = multiply(X3,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_52,c_0_53]),c_0_24]),c_0_50]),c_0_50]),c_0_54]),c_0_30]),c_0_24]),c_0_55]),c_0_56]),c_0_56]) ).
cnf(c_0_58,plain,
multiply(multiply(X1,multiply(inverse(a),a)),multiply(inverse(X2),X2)) = inverse(inverse(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(spm,[status(thm)],[c_0_13,c_0_35]),c_0_27]),c_0_43]),c_0_27]),c_0_33]),c_0_19]),c_0_30]),c_0_30]),c_0_30]) ).
cnf(c_0_59,plain,
inverse(multiply(inverse(X1),inverse(X2))) = multiply(X2,inverse(inverse(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_17]),c_0_27]),c_0_43]),c_0_24]),c_0_33]) ).
cnf(c_0_60,plain,
multiply(multiply(X1,multiply(inverse(X2),X2)),multiply(inverse(X3),X3)) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_58,c_0_19]) ).
cnf(c_0_61,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_30]),c_0_24]),c_0_33]),c_0_30]) ).
cnf(c_0_62,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).
cnf(c_0_63,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_27]),c_0_62]),c_0_62]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(X1,inverse(X1))),X2) = X2,
inference(spm,[status(thm)],[c_0_63,c_0_63]) ).
cnf(c_0_65,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_64]),c_0_62]) ).
cnf(c_0_66,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_62]),c_0_62]) ).
cnf(c_0_67,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(multiply(X7,inverse(inverse(multiply(multiply(X8,inverse(X9)),inverse(X10))))),inverse(X6))))))),X10)),X7))),X9) = X8,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_68,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_62]) ).
cnf(c_0_69,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[c_0_27,c_0_62]) ).
cnf(c_0_70,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X5,inverse(X4))))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(a,a)),multiply(a,a))),multiply(inverse(multiply(a,a)),multiply(a,inverse(multiply(X9,inverse(a))))))),multiply(multiply(X5,inverse(inverse(X6))),inverse(X10))),X10)),X9))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_67]),c_0_3]) ).
cnf(c_0_71,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_68]),c_0_62]) ).
cnf(c_0_72,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_62]) ).
cnf(c_0_73,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(inverse(inverse(X3)),multiply(multiply(X4,inverse(inverse(X5))),inverse(X6))),X6)),X3))) = multiply(inverse(inverse(X4)),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)],[c_0_70,c_0_32]),c_0_32]),c_0_30]),c_0_39]),c_0_27]),c_0_24]),c_0_33]),c_0_30]),c_0_39]),c_0_27]),c_0_24]),c_0_33]) ).
cnf(c_0_74,plain,
multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X4)),X2)) = multiply(X1,inverse(multiply(X3,X4))),
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_12,c_0_27]),c_0_27]),c_0_39]),c_0_27]),c_0_62]),c_0_62]),c_0_62]) ).
cnf(c_0_75,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(spm,[status(thm)],[c_0_66,c_0_71]) ).
cnf(c_0_76,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_72,c_0_62]) ).
cnf(c_0_77,plain,
multiply(multiply(X1,X2),multiply(inverse(multiply(X3,X4)),multiply(X4,X3))) = multiply(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)],[c_0_73,c_0_62]),c_0_62]),c_0_62]),c_0_74]),c_0_75]),c_0_66]),c_0_65]),c_0_75]) ).
cnf(c_0_78,negated_conjecture,
multiply(a,b) != multiply(b,a),
prove_these_axioms_4 ).
cnf(c_0_79,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GRP508-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.04/0.08 % Command : run_E %s %d THM
% 0.07/0.27 % Computer : n006.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 2400
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Oct 3 02:48:25 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.PjoYDkRyNt/E---3.1_22990.p
% 23.10/4.21 # Version: 3.1pre001
% 23.10/4.21 # Preprocessing class: FSSSSMSSSSSNFFN.
% 23.10/4.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.10/4.21 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 23.10/4.21 # Starting new_bool_3 with 300s (1) cores
% 23.10/4.21 # Starting new_bool_1 with 300s (1) cores
% 23.10/4.21 # Starting sh5l with 300s (1) cores
% 23.10/4.21 # new_bool_3 with pid 23069 completed with status 8
% 23.10/4.21 # new_bool_1 with pid 23070 completed with status 8
% 23.10/4.21 # sh5l with pid 23071 completed with status 0
% 23.10/4.21 # Result found by sh5l
% 23.10/4.21 # Preprocessing class: FSSSSMSSSSSNFFN.
% 23.10/4.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.10/4.21 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 23.10/4.21 # Starting new_bool_3 with 300s (1) cores
% 23.10/4.21 # Starting new_bool_1 with 300s (1) cores
% 23.10/4.21 # Starting sh5l with 300s (1) cores
% 23.10/4.21 # SinE strategy is gf500_gu_R04_F100_L20000
% 23.10/4.21 # Search class: FUUPF-FFSF21-DFFFFFNN
% 23.10/4.21 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 23.10/4.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 23.10/4.21 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23078 completed with status 0
% 23.10/4.21 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 23.10/4.21 # Preprocessing class: FSSSSMSSSSSNFFN.
% 23.10/4.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.10/4.21 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 23.10/4.21 # Starting new_bool_3 with 300s (1) cores
% 23.10/4.21 # Starting new_bool_1 with 300s (1) cores
% 23.10/4.21 # Starting sh5l with 300s (1) cores
% 23.10/4.21 # SinE strategy is gf500_gu_R04_F100_L20000
% 23.10/4.21 # Search class: FUUPF-FFSF21-DFFFFFNN
% 23.10/4.21 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 23.10/4.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 23.10/4.21 # Preprocessing time : 0.001 s
% 23.10/4.21 # Presaturation interreduction done
% 23.10/4.21
% 23.10/4.21 # Proof found!
% 23.10/4.21 # SZS status Unsatisfiable
% 23.10/4.21 # SZS output start CNFRefutation
% See solution above
% 23.10/4.21 # Parsed axioms : 2
% 23.10/4.21 # Removed by relevancy pruning/SinE : 0
% 23.10/4.21 # Initial clauses : 2
% 23.10/4.21 # Removed in clause preprocessing : 0
% 23.10/4.21 # Initial clauses in saturation : 2
% 23.10/4.21 # Processed clauses : 1228
% 23.10/4.21 # ...of these trivial : 161
% 23.10/4.21 # ...subsumed : 837
% 23.10/4.21 # ...remaining for further processing : 230
% 23.10/4.21 # Other redundant clauses eliminated : 0
% 23.10/4.21 # Clauses deleted for lack of memory : 0
% 23.10/4.21 # Backward-subsumed : 9
% 23.10/4.21 # Backward-rewritten : 204
% 23.10/4.21 # Generated clauses : 142889
% 23.10/4.21 # ...of the previous two non-redundant : 138311
% 23.10/4.21 # ...aggressively subsumed : 0
% 23.10/4.21 # Contextual simplify-reflections : 0
% 23.10/4.21 # Paramodulations : 142889
% 23.10/4.21 # Factorizations : 0
% 23.10/4.21 # NegExts : 0
% 23.10/4.21 # Equation resolutions : 0
% 23.10/4.21 # Total rewrite steps : 279801
% 23.10/4.21 # Propositional unsat checks : 0
% 23.10/4.21 # Propositional check models : 0
% 23.10/4.21 # Propositional check unsatisfiable : 0
% 23.10/4.21 # Propositional clauses : 0
% 23.10/4.21 # Propositional clauses after purity: 0
% 23.10/4.21 # Propositional unsat core size : 0
% 23.10/4.21 # Propositional preprocessing time : 0.000
% 23.10/4.21 # Propositional encoding time : 0.000
% 23.10/4.21 # Propositional solver time : 0.000
% 23.10/4.21 # Success case prop preproc time : 0.000
% 23.10/4.21 # Success case prop encoding time : 0.000
% 23.10/4.21 # Success case prop solver time : 0.000
% 23.10/4.21 # Current number of processed clauses : 15
% 23.10/4.21 # Positive orientable unit clauses : 12
% 23.10/4.21 # Positive unorientable unit clauses: 3
% 23.10/4.21 # Negative unit clauses : 0
% 23.10/4.21 # Non-unit-clauses : 0
% 23.10/4.21 # Current number of unprocessed clauses: 136682
% 23.10/4.21 # ...number of literals in the above : 136682
% 23.10/4.21 # Current number of archived formulas : 0
% 23.10/4.21 # Current number of archived clauses : 215
% 23.10/4.21 # Clause-clause subsumption calls (NU) : 0
% 23.10/4.21 # Rec. Clause-clause subsumption calls : 0
% 23.10/4.21 # Non-unit clause-clause subsumptions : 0
% 23.10/4.21 # Unit Clause-clause subsumption calls : 947
% 23.10/4.21 # Rewrite failures with RHS unbound : 0
% 23.10/4.21 # BW rewrite match attempts : 5379
% 23.10/4.21 # BW rewrite match successes : 517
% 23.10/4.21 # Condensation attempts : 0
% 23.10/4.21 # Condensation successes : 0
% 23.10/4.21 # Termbank termtop insertions : 12826805
% 23.10/4.21
% 23.10/4.21 # -------------------------------------------------
% 23.10/4.21 # User time : 3.654 s
% 23.10/4.21 # System time : 0.170 s
% 23.10/4.21 # Total time : 3.824 s
% 23.10/4.21 # Maximum resident set size: 1608 pages
% 23.10/4.21
% 23.10/4.21 # -------------------------------------------------
% 23.10/4.21 # User time : 3.673 s
% 23.10/4.21 # System time : 0.178 s
% 23.10/4.21 # Total time : 3.852 s
% 23.10/4.21 # Maximum resident set size: 1676 pages
% 23.10/4.21 % E---3.1 exiting
%------------------------------------------------------------------------------