TSTP Solution File: GRP427-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP427-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : Sat May 4 07:52:12 EDT 2024
% Result : Unsatisfiable 1.94s 0.72s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 2
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 21 RR)
% Number of literals : 76 ( 75 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
file('/export/starexec/sandbox2/tmp/tmp.kxuHNXWWF1/E---3.1_10732.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/tmp/tmp.kxuHNXWWF1/E---3.1_10732.p',prove_these_axioms_1) ).
cnf(c_0_2,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(X1)),X3))),X6),inverse(multiply(X5,X6)))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),X5),inverse(multiply(X3,X5))))))) = multiply(inverse(inverse(X2)),X4),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(inverse(X3)),multiply(inverse(X3),X2)),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_8,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(inverse(X1),X4))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),multiply(X1,X4)),inverse(multiply(inverse(X5),multiply(X5,X4)))))) = X3,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X1),X5)))),X2))),X6),inverse(multiply(X4,X6))))))))) = X5,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_11,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(X5,X4)))))) = multiply(X5,X3),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_12,plain,
multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_4]) ).
cnf(c_0_13,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4))))) = inverse(multiply(X5,inverse(multiply(X6,multiply(multiply(inverse(X6),multiply(inverse(inverse(X1)),X3)),inverse(multiply(multiply(inverse(multiply(inverse(a1),X5)),a1),inverse(multiply(a1,a1))))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_10]),c_0_3]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X3),multiply(X3,X4))),inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1))))))))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_7]),c_0_2]) ).
cnf(c_0_16,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),multiply(X2,X3))) = multiply(inverse(X4),multiply(X4,multiply(X1,X3))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_17,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_14]),c_0_4]) ).
cnf(c_0_18,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),X5),inverse(multiply(X3,X5))))),X6)),X7),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X8),multiply(inverse(inverse(X2)),X4))),X9),inverse(multiply(X8,X9))),X7))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(a1),X6)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]) ).
cnf(c_0_19,plain,
multiply(X1,inverse(multiply(X2,inverse(multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(multiply(inverse(multiply(inverse(a1),X2)),a1),inverse(multiply(a1,a1)))))))))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(a1),X4)),a1),inverse(multiply(a1,a1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_10]),c_0_3]),c_0_3]),c_0_13]) ).
cnf(c_0_20,plain,
inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(inverse(a1),multiply(a1,multiply(X2,X3))),inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1))))))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_21,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_2]) ).
cnf(c_0_22,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(inverse(a1),X2)),a1),inverse(multiply(a1,a1)))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_18]),c_0_4]) ).
cnf(c_0_23,plain,
inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1))))))))) = inverse(multiply(multiply(inverse(multiply(inverse(a1),X3)),a1),inverse(multiply(a1,a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_19]),c_0_2]) ).
cnf(c_0_24,plain,
inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(X3),multiply(multiply(inverse(a1),multiply(a1,multiply(X3,X4))),X2))))) = X4,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1)))),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_26,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = inverse(multiply(multiply(inverse(multiply(inverse(a1),X2)),a1),inverse(multiply(a1,a1)))),
inference(spm,[status(thm)],[c_0_23,c_0_2]) ).
cnf(c_0_27,plain,
inverse(multiply(a1,inverse(a1))) = inverse(multiply(X1,inverse(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_24]) ).
cnf(c_0_28,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))) = multiply(X2,inverse(multiply(a1,inverse(a1)))),
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_29,plain,
multiply(a1,inverse(a1)) = multiply(X1,inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_17]) ).
cnf(c_0_30,plain,
multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(a1,inverse(a1))))) = X2,
inference(rw,[status(thm)],[c_0_2,c_0_28]) ).
cnf(c_0_31,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_29,c_0_29]) ).
cnf(c_0_32,plain,
multiply(inverse(inverse(inverse(X1))),X1) = multiply(inverse(inverse(inverse(X2))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_17]),c_0_4]) ).
cnf(c_0_33,plain,
multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,inverse(X3))))) = X2,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
multiply(inverse(inverse(inverse(X1))),X1) = inverse(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_32]) ).
cnf(c_0_35,plain,
multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_36,plain,
inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(inverse(a1),X1)),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_22]),c_0_34]) ).
cnf(c_0_37,plain,
inverse(inverse(multiply(X1,inverse(multiply(a1,inverse(a1)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_35]),c_0_28]) ).
cnf(c_0_38,plain,
inverse(multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(spm,[status(thm)],[c_0_36,c_0_36]) ).
cnf(c_0_39,plain,
inverse(multiply(inverse(inverse(inverse(a1))),inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(spm,[status(thm)],[c_0_36,c_0_27]) ).
cnf(c_0_40,plain,
inverse(inverse(multiply(X1,inverse(X1)))) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_41,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(X2),X5))),X6),inverse(multiply(X4,X6))))),inverse(X5)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_42,plain,
multiply(inverse(inverse(multiply(inverse(inverse(inverse(a1))),a1))),multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1))))),inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_34]) ).
cnf(c_0_43,plain,
multiply(inverse(inverse(multiply(inverse(inverse(inverse(a1))),a1))),multiply(inverse(inverse(inverse(a1))),inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),a1),inverse(multiply(a1,a1)))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_34]) ).
cnf(c_0_44,plain,
inverse(multiply(a1,inverse(a1))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_40]),c_0_35]),c_0_40]),c_0_40]) ).
cnf(c_0_45,plain,
multiply(inverse(multiply(multiply(inverse(multiply(inverse(a1),a1)),a1),inverse(multiply(a1,a1)))),inverse(multiply(X1,inverse(X1)))) = inverse(multiply(multiply(multiply(inverse(inverse(inverse(a1))),a1),a1),inverse(multiply(a1,a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_2]) ).
cnf(c_0_46,plain,
multiply(inverse(inverse(a1)),inverse(multiply(X1,inverse(X1)))) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),a1),inverse(multiply(a1,a1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_2]) ).
cnf(c_0_47,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_35]) ).
cnf(c_0_48,plain,
multiply(inverse(inverse(X1)),multiply(multiply(inverse(inverse(inverse(a1))),a1),inverse(multiply(X2,inverse(X2))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_45]),c_0_38]) ).
cnf(c_0_49,plain,
inverse(multiply(multiply(multiply(a1,inverse(a1)),a1),inverse(multiply(a1,a1)))) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_35]),c_0_40]),c_0_44]),c_0_35]),c_0_44]),c_0_47]) ).
cnf(c_0_50,plain,
multiply(inverse(inverse(X1)),multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(multiply(X3,inverse(X3))))) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_51,plain,
multiply(inverse(X1),multiply(X1,X2)) = inverse(inverse(X2)),
inference(spm,[status(thm)],[c_0_37,c_0_12]) ).
cnf(c_0_52,plain,
multiply(multiply(multiply(a1,inverse(a1)),a1),inverse(multiply(a1,a1))) = inverse(inverse(inverse(a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_49]),c_0_28]),c_0_44]),c_0_35]),c_0_31]),c_0_35]) ).
cnf(c_0_53,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X1))),X1),inverse(multiply(X2,inverse(X2))))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_50]),c_0_34]) ).
cnf(c_0_54,plain,
multiply(inverse(multiply(multiply(a1,inverse(a1)),a1)),inverse(inverse(inverse(a1)))) = inverse(inverse(inverse(multiply(a1,a1)))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
inverse(inverse(multiply(a1,inverse(a1)))) = multiply(inverse(inverse(inverse(a1))),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_37]),c_0_12]) ).
cnf(c_0_56,plain,
multiply(inverse(inverse(multiply(multiply(a1,inverse(a1)),a1))),inverse(inverse(inverse(multiply(a1,a1))))) = inverse(a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_54]),c_0_47]) ).
cnf(c_0_57,plain,
multiply(inverse(inverse(inverse(a1))),a1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_58,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_12]) ).
cnf(c_0_59,plain,
multiply(inverse(inverse(inverse(multiply(multiply(a1,inverse(a1)),a1)))),inverse(a1)) = inverse(multiply(a1,a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_56]),c_0_47]) ).
cnf(c_0_60,plain,
multiply(inverse(inverse(inverse(X1))),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_57]),c_0_47]),c_0_35]),c_0_57]),c_0_51]) ).
cnf(c_0_61,plain,
inverse(multiply(X1,inverse(X1))) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_40]),c_0_44]) ).
cnf(c_0_62,plain,
inverse(multiply(multiply(a1,inverse(a1)),a1)) = inverse(a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_51]),c_0_60]),c_0_47]),c_0_52]),c_0_47]) ).
cnf(c_0_63,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(X4,multiply(multiply(inverse(X4),X5),X3))))))) = X5,
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_64,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(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)],[c_0_3,c_0_28]),c_0_28]),c_0_61]),c_0_35]),c_0_61]),c_0_35]) ).
cnf(c_0_65,plain,
multiply(multiply(a1,inverse(a1)),a1) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_62]),c_0_51]),c_0_60]),c_0_35]),c_0_47]) ).
cnf(c_0_66,plain,
inverse(multiply(X1,inverse(inverse(inverse(multiply(X2,multiply(multiply(inverse(X2),X3),X1))))))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_51]),c_0_51]),c_0_64]) ).
cnf(c_0_67,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(fof_simplification,[status(thm)],[prove_these_axioms_1]) ).
cnf(c_0_68,plain,
inverse(inverse(a1)) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_65]),c_0_61]),c_0_65]) ).
cnf(c_0_69,plain,
inverse(multiply(inverse(multiply(inverse(X1),X2)),inverse(X1))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_31]),c_0_35]),c_0_47]) ).
cnf(c_0_70,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
c_0_67 ).
cnf(c_0_71,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(spm,[status(thm)],[c_0_60,c_0_68]) ).
cnf(c_0_72,plain,
multiply(multiply(a1,inverse(a1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_61]),c_0_35]),c_0_47]) ).
cnf(c_0_73,negated_conjecture,
multiply(inverse(b1),b1) != multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,plain,
multiply(inverse(X1),X1) = multiply(a1,inverse(a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_72]),c_0_61]),c_0_72]),c_0_51]),c_0_60]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP427-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 16:27:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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.kxuHNXWWF1/E---3.1_10732.p
% 1.94/0.72 # Version: 3.1.0
% 1.94/0.72 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.94/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.94/0.72 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.94/0.72 # Starting new_bool_3 with 300s (1) cores
% 1.94/0.72 # Starting new_bool_1 with 300s (1) cores
% 1.94/0.72 # Starting sh5l with 300s (1) cores
% 1.94/0.72 # new_bool_3 with pid 10816 completed with status 0
% 1.94/0.72 # Result found by new_bool_3
% 1.94/0.72 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.94/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.94/0.72 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.94/0.72 # Starting new_bool_3 with 300s (1) cores
% 1.94/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.94/0.72 # Search class: FUUPF-FFSF21-DFFFFFNN
% 1.94/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.94/0.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 1.94/0.72 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10819 completed with status 0
% 1.94/0.72 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.94/0.72 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.94/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.94/0.72 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.94/0.72 # Starting new_bool_3 with 300s (1) cores
% 1.94/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.94/0.72 # Search class: FUUPF-FFSF21-DFFFFFNN
% 1.94/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.94/0.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 1.94/0.72 # Preprocessing time : 0.001 s
% 1.94/0.72 # Presaturation interreduction done
% 1.94/0.72
% 1.94/0.72 # Proof found!
% 1.94/0.72 # SZS status Unsatisfiable
% 1.94/0.72 # SZS output start CNFRefutation
% See solution above
% 1.94/0.72 # Parsed axioms : 2
% 1.94/0.72 # Removed by relevancy pruning/SinE : 0
% 1.94/0.72 # Initial clauses : 2
% 1.94/0.72 # Removed in clause preprocessing : 0
% 1.94/0.72 # Initial clauses in saturation : 2
% 1.94/0.72 # Processed clauses : 371
% 1.94/0.72 # ...of these trivial : 106
% 1.94/0.72 # ...subsumed : 139
% 1.94/0.72 # ...remaining for further processing : 126
% 1.94/0.72 # Other redundant clauses eliminated : 0
% 1.94/0.72 # Clauses deleted for lack of memory : 0
% 1.94/0.72 # Backward-subsumed : 2
% 1.94/0.72 # Backward-rewritten : 90
% 1.94/0.72 # Generated clauses : 16681
% 1.94/0.72 # ...of the previous two non-redundant : 15605
% 1.94/0.72 # ...aggressively subsumed : 0
% 1.94/0.72 # Contextual simplify-reflections : 0
% 1.94/0.72 # Paramodulations : 16681
% 1.94/0.72 # Factorizations : 0
% 1.94/0.72 # NegExts : 0
% 1.94/0.72 # Equation resolutions : 0
% 1.94/0.72 # Disequality decompositions : 0
% 1.94/0.72 # Total rewrite steps : 13967
% 1.94/0.72 # ...of those cached : 11477
% 1.94/0.72 # Propositional unsat checks : 0
% 1.94/0.72 # Propositional check models : 0
% 1.94/0.72 # Propositional check unsatisfiable : 0
% 1.94/0.72 # Propositional clauses : 0
% 1.94/0.72 # Propositional clauses after purity: 0
% 1.94/0.72 # Propositional unsat core size : 0
% 1.94/0.72 # Propositional preprocessing time : 0.000
% 1.94/0.72 # Propositional encoding time : 0.000
% 1.94/0.72 # Propositional solver time : 0.000
% 1.94/0.72 # Success case prop preproc time : 0.000
% 1.94/0.72 # Success case prop encoding time : 0.000
% 1.94/0.72 # Success case prop solver time : 0.000
% 1.94/0.72 # Current number of processed clauses : 32
% 1.94/0.72 # Positive orientable unit clauses : 30
% 1.94/0.72 # Positive unorientable unit clauses: 2
% 1.94/0.72 # Negative unit clauses : 0
% 1.94/0.72 # Non-unit-clauses : 0
% 1.94/0.72 # Current number of unprocessed clauses: 15054
% 1.94/0.72 # ...number of literals in the above : 15054
% 1.94/0.72 # Current number of archived formulas : 0
% 1.94/0.72 # Current number of archived clauses : 94
% 1.94/0.72 # Clause-clause subsumption calls (NU) : 0
% 1.94/0.72 # Rec. Clause-clause subsumption calls : 0
% 1.94/0.72 # Non-unit clause-clause subsumptions : 0
% 1.94/0.72 # Unit Clause-clause subsumption calls : 162
% 1.94/0.72 # Rewrite failures with RHS unbound : 0
% 1.94/0.72 # BW rewrite match attempts : 1077
% 1.94/0.72 # BW rewrite match successes : 112
% 1.94/0.72 # Condensation attempts : 0
% 1.94/0.72 # Condensation successes : 0
% 1.94/0.72 # Termbank termtop insertions : 580865
% 1.94/0.72 # Search garbage collected termcells : 2
% 1.94/0.72
% 1.94/0.72 # -------------------------------------------------
% 1.94/0.72 # User time : 0.216 s
% 1.94/0.72 # System time : 0.021 s
% 1.94/0.72 # Total time : 0.237 s
% 1.94/0.72 # Maximum resident set size: 1612 pages
% 1.94/0.72
% 1.94/0.72 # -------------------------------------------------
% 1.94/0.72 # User time : 0.216 s
% 1.94/0.72 # System time : 0.024 s
% 1.94/0.72 # Total time : 0.240 s
% 1.94/0.72 # Maximum resident set size: 1688 pages
% 1.94/0.72 % E---3.1 exiting
% 1.94/0.72 % E exiting
%------------------------------------------------------------------------------