TSTP Solution File: GRP057-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP057-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Fri May 3 02:20:34 EDT 2024
% Result : Unsatisfiable 75.78s 11.25s
% Output : CNFRefutation 75.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 2
% Syntax : Number of clauses : 120 ( 118 unt; 0 nHn; 4 RR)
% Number of literals : 123 ( 122 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 364 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_103,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_151,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(superposition,[status(thm)],[c_103,c_49]) ).
cnf(c_161,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_103,c_49]) ).
cnf(c_832,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_161,c_161]) ).
cnf(c_861,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_832,c_151]) ).
cnf(c_900,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X3),inverse(multiply(X4,X3)))))) = multiply(X4,X2),
inference(superposition,[status(thm)],[c_861,c_151]) ).
cnf(c_1620,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_161,c_161]) ).
cnf(c_1649,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_1620,c_151]) ).
cnf(c_1690,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,multiply(multiply(inverse(X3),X4),X2))))))) = X4,
inference(superposition,[status(thm)],[c_1649,c_151]) ).
cnf(c_17317,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),inverse(multiply(X0,X2)))) = multiply(X3,inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(inverse(X3),X4))))),
inference(superposition,[status(thm)],[c_151,c_49]) ).
cnf(c_17334,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_161,c_161]) ).
cnf(c_17363,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_17334,c_151]) ).
cnf(c_17411,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2))) = multiply(inverse(X3),multiply(X3,multiply(X0,X2))),
inference(superposition,[status(thm)],[c_17363,c_17363]) ).
cnf(c_19650,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,multiply(multiply(inverse(X4),multiply(X4,X5)),X2))))))) = multiply(X3,X5),
inference(superposition,[status(thm)],[c_17363,c_900]) ).
cnf(c_20378,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X1),X3))))))) = X2,
inference(superposition,[status(thm)],[c_17317,c_1690]) ).
cnf(c_27403,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X2),X4))))))),inverse(X3))))) = multiply(inverse(multiply(inverse(X5),multiply(X5,X6))),X6),
inference(superposition,[status(thm)],[c_20378,c_19650]) ).
cnf(c_27415,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(X1,inverse(X1))))) = multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),
inference(demodulation,[status(thm)],[c_27403,c_20378]) ).
cnf(c_28432,plain,
multiply(inverse(inverse(X0)),multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3))) = multiply(inverse(X4),multiply(X4,multiply(X0,multiply(X1,inverse(multiply(X5,inverse(X5))))))),
inference(superposition,[status(thm)],[c_27415,c_17411]) ).
cnf(c_28497,plain,
multiply(inverse(inverse(X0)),multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2)) = X0,
inference(superposition,[status(thm)],[c_27415,c_20378]) ).
cnf(c_28611,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X3,inverse(X3))))))) = multiply(inverse(inverse(X1)),X2),
inference(demodulation,[status(thm)],[c_28432,c_28497]) ).
cnf(c_36462,plain,
multiply(inverse(X0),multiply(X0,inverse(multiply(X1,inverse(multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(multiply(inverse(multiply(inverse(X4),X1)),X5),inverse(multiply(X4,X5))))))))))) = X3,
inference(superposition,[status(thm)],[c_151,c_151]) ).
cnf(c_36486,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_161,c_161]) ).
cnf(c_36524,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_36486,c_151]) ).
cnf(c_36573,plain,
multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X0),X4)),X2)))))) = X4,
inference(superposition,[status(thm)],[c_36524,c_49]) ).
cnf(c_36580,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X2),multiply(X2,X3))))),X4),inverse(multiply(X0,X4)))) = multiply(X1,X3),
inference(superposition,[status(thm)],[c_36524,c_36486]) ).
cnf(c_36583,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(superposition,[status(thm)],[c_36524,c_36486]) ).
cnf(c_36588,plain,
multiply(inverse(X0),multiply(X0,multiply(inverse(X1),multiply(X1,inverse(multiply(X2,inverse(X2))))))) = multiply(inverse(inverse(inverse(X3))),X3),
inference(superposition,[status(thm)],[c_36524,c_28611]) ).
cnf(c_36589,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X3,inverse(X3))))))) = multiply(inverse(inverse(X0)),X2),
inference(superposition,[status(thm)],[c_36524,c_28611]) ).
cnf(c_37538,plain,
multiply(inverse(inverse(inverse(X0))),X0) = multiply(inverse(inverse(inverse(X1))),X1),
inference(demodulation,[status(thm)],[c_36588,c_28611]) ).
cnf(c_37603,plain,
multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(inverse(X2))),X2))),X3),inverse(multiply(X1,X3))))) = X0,
inference(superposition,[status(thm)],[c_37538,c_49]) ).
cnf(c_37627,plain,
multiply(inverse(inverse(inverse(inverse(X0)))),multiply(inverse(inverse(inverse(X1))),X1)) = multiply(inverse(X2),multiply(X2,X0)),
inference(superposition,[status(thm)],[c_37538,c_36524]) ).
cnf(c_37716,plain,
multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X3),inverse(multiply(inverse(inverse(inverse(X2))),X3))))) = X0,
inference(superposition,[status(thm)],[c_37627,c_49]) ).
cnf(c_38195,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X3,inverse(X3))))))) = multiply(inverse(X0),X2),
inference(superposition,[status(thm)],[c_36583,c_36589]) ).
cnf(c_38294,plain,
multiply(X0,multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X3,inverse(X3))))))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_36583,c_38195]) ).
cnf(c_38392,plain,
multiply(inverse(inverse(X0)),multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2)) = X0,
inference(superposition,[status(thm)],[c_36580,c_37603]) ).
cnf(c_39135,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3))))) = multiply(X0,multiply(X2,inverse(multiply(X4,inverse(X4))))),
inference(superposition,[status(thm)],[c_38294,c_49]) ).
cnf(c_39699,plain,
multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X2),X3))))) = X1,
inference(superposition,[status(thm)],[c_38392,c_49]) ).
cnf(c_40525,plain,
multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,inverse(X2)))) = X1,
inference(superposition,[status(thm)],[c_37716,c_39699]) ).
cnf(c_40609,plain,
multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,inverse(X2)))) = multiply(inverse(X3),multiply(X3,multiply(X1,inverse(multiply(X4,inverse(X4)))))),
inference(superposition,[status(thm)],[c_38294,c_40525]) ).
cnf(c_40648,plain,
multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,inverse(multiply(X2,inverse(X2))))),inverse(multiply(inverse(X0),X3))))) = X3,
inference(superposition,[status(thm)],[c_40525,c_36573]) ).
cnf(c_40654,plain,
multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(light_normalisation,[status(thm)],[c_40609,c_40525]) ).
cnf(c_42662,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(X1))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_40525,c_40648]) ).
cnf(c_47420,plain,
multiply(inverse(X0),multiply(X0,inverse(inverse(multiply(X1,inverse(X1)))))) = multiply(inverse(X2),inverse(inverse(X2))),
inference(superposition,[status(thm)],[c_42662,c_36524]) ).
cnf(c_47459,plain,
multiply(inverse(X0),inverse(inverse(X0))) = multiply(inverse(X1),inverse(inverse(X1))),
inference(light_normalisation,[status(thm)],[c_47420,c_42662]) ).
cnf(c_48147,plain,
multiply(inverse(X0),inverse(inverse(X0))) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_36583,c_47459]) ).
cnf(c_48423,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_48147,c_48147]) ).
cnf(c_48648,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))),X3),inverse(multiply(X1,X3))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_48423,c_49]) ).
cnf(c_48735,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))),X3),inverse(multiply(X1,X3))))) = multiply(X0,multiply(X4,inverse(X4))),
inference(superposition,[status(thm)],[c_48423,c_39135]) ).
cnf(c_48742,plain,
multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(light_normalisation,[status(thm)],[c_48735,c_48648]) ).
cnf(c_49124,plain,
multiply(X0,inverse(inverse(inverse(multiply(X1,inverse(X1)))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_42662,c_48742]) ).
cnf(c_49225,plain,
multiply(inverse(inverse(X0)),inverse(inverse(inverse(multiply(inverse(X1),multiply(X1,multiply(X2,inverse(X2)))))))) = X0,
inference(superposition,[status(thm)],[c_48742,c_38392]) ).
cnf(c_49250,plain,
inverse(inverse(inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[c_49225,c_48742,c_49124]) ).
cnf(c_60998,plain,
multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(multiply(inverse(multiply(inverse(X3),X0)),X4),inverse(multiply(X3,X4))))))))))))),multiply(inverse(inverse(inverse(X5))),X5)) = X2,
inference(superposition,[status(thm)],[c_37538,c_36462]) ).
cnf(c_61230,plain,
multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(multiply(inverse(inverse(X1)),multiply(inverse(inverse(inverse(X2))),X2))),multiply(X1,inverse(multiply(X3,inverse(multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(multiply(inverse(multiply(inverse(X6),X3)),X7),inverse(multiply(X6,X7))))))))))),inverse(X5)))) = X0,
inference(superposition,[status(thm)],[c_36462,c_37603]) ).
cnf(c_61331,plain,
inverse(inverse(inverse(multiply(X0,inverse(multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(multiply(inverse(multiply(inverse(X3),X0)),X4),inverse(multiply(X3,X4))))))))))) = X2,
inference(superposition,[status(thm)],[c_36462,c_48742]) ).
cnf(c_61333,plain,
multiply(inverse(inverse(X0)),multiply(inverse(inverse(inverse(X1))),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_60998,c_61331]) ).
cnf(c_61350,plain,
multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_61230,c_36462,c_61333]) ).
cnf(c_67861,plain,
multiply(X0,inverse(multiply(X1,inverse(X1)))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_49250,c_61350]) ).
cnf(c_67956,plain,
multiply(inverse(X0),multiply(X0,X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_61350,c_40654]) ).
cnf(c_68507,plain,
multiply(inverse(inverse(X0)),inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_67956,c_67956]) ).
cnf(c_68510,plain,
inverse(inverse(inverse(multiply(X0,inverse(X0))))) = multiply(inverse(X1),inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_67861,c_67956]) ).
cnf(c_68511,plain,
multiply(X0,inverse(inverse(inverse(multiply(X1,inverse(X1)))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_67861,c_67861]) ).
cnf(c_68551,plain,
multiply(X0,multiply(inverse(X1),inverse(inverse(X1)))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_68510,c_68511]) ).
cnf(c_68580,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(X1))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_68507,c_68551]) ).
cnf(c_68609,plain,
multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X0),X3)),X1)))))) = X3,
inference(superposition,[status(thm)],[c_67956,c_49]) ).
cnf(c_68615,plain,
multiply(X0,inverse(multiply(multiply(inverse(inverse(inverse(X1))),X2),inverse(multiply(inverse(X0),X2))))) = X1,
inference(superposition,[status(thm)],[c_67956,c_49]) ).
cnf(c_68619,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),inverse(inverse(X2)))),X3),inverse(multiply(X1,X3))))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_67956,c_49]) ).
cnf(c_68620,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),inverse(inverse(inverse(X0))))),X2),inverse(multiply(X1,X2))))) = inverse(multiply(X3,inverse(X3))),
inference(superposition,[status(thm)],[c_67861,c_49]) ).
cnf(c_68622,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),inverse(inverse(inverse(X0))))),X2),inverse(multiply(X1,X2))))) = inverse(inverse(multiply(X3,inverse(X3)))),
inference(superposition,[status(thm)],[c_68580,c_49]) ).
cnf(c_68624,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),inverse(inverse(inverse(X0))))),X2),inverse(multiply(X1,X2))))) = inverse(inverse(inverse(multiply(X3,inverse(X3))))),
inference(superposition,[status(thm)],[c_68511,c_49]) ).
cnf(c_68640,plain,
inverse(multiply(X0,inverse(X0))) = multiply(X1,inverse(X1)),
inference(demodulation,[status(thm)],[c_68620,c_68619]) ).
cnf(c_68642,plain,
inverse(inverse(multiply(X0,inverse(X0)))) = multiply(X1,inverse(X1)),
inference(demodulation,[status(thm)],[c_68622,c_68619]) ).
cnf(c_68644,plain,
inverse(inverse(inverse(multiply(X0,inverse(X0))))) = multiply(X1,inverse(X1)),
inference(demodulation,[status(thm)],[c_68624,c_68619]) ).
cnf(c_68690,plain,
multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_68640,c_67861]) ).
cnf(c_68691,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_68640,c_68640]) ).
cnf(c_68875,plain,
inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(X0))),X1),inverse(multiply(X2,X1)))))) = multiply(X2,X0),
inference(demodulation,[status(thm)],[c_900,c_67956]) ).
cnf(c_68931,plain,
multiply(inverse(inverse(inverse(X0))),X0) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_68875,c_68644]) ).
cnf(c_68932,plain,
multiply(X0,multiply(inverse(inverse(inverse(X1))),X1)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_68875,c_68511]) ).
cnf(c_69003,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X0)))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_68932,c_67956]) ).
cnf(c_69281,plain,
multiply(X0,inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),inverse(multiply(inverse(inverse(multiply(inverse(X0),X3))),X2))))) = X3,
inference(superposition,[status(thm)],[c_68931,c_49]) ).
cnf(c_69346,plain,
inverse(inverse(inverse(inverse(multiply(X0,X1))))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_68875,c_69003]) ).
cnf(c_69407,plain,
inverse(inverse(inverse(inverse(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_69346]) ).
cnf(c_69526,plain,
multiply(X0,inverse(multiply(multiply(X1,X2),inverse(multiply(inverse(X0),X2))))) = inverse(X1),
inference(superposition,[status(thm)],[c_69407,c_68615]) ).
cnf(c_69958,plain,
inverse(inverse(inverse(multiply(inverse(inverse(X0)),inverse(multiply(X1,multiply(multiply(inverse(X1),X2),X0))))))) = X2,
inference(demodulation,[status(thm)],[c_1690,c_67956]) ).
cnf(c_69972,plain,
inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X1)))),inverse(inverse(inverse(X0))))))) = X1,
inference(superposition,[status(thm)],[c_68690,c_69958]) ).
cnf(c_71333,plain,
inverse(multiply(inverse(multiply(inverse(X0),X1)),inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_69972,c_69407,c_68507]) ).
cnf(c_71413,plain,
inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(superposition,[status(thm)],[c_71333,c_71333]) ).
cnf(c_71764,plain,
inverse(multiply(inverse(inverse(inverse(multiply(X0,inverse(X0))))),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_68642,c_71413]) ).
cnf(c_71774,plain,
inverse(multiply(multiply(X0,X1),inverse(multiply(inverse(X2),X1)))) = inverse(multiply(inverse(inverse(X0)),X2)),
inference(superposition,[status(thm)],[c_69526,c_71413]) ).
cnf(c_71828,plain,
multiply(multiply(X0,X1),inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(multiply(inverse(X1),X3))))) = X0,
inference(superposition,[status(thm)],[c_71413,c_69281]) ).
cnf(c_71883,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_71828,c_71764,c_71774]) ).
cnf(c_71937,plain,
multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_67956,c_71883]) ).
cnf(c_71939,plain,
multiply(multiply(inverse(inverse(inverse(X0))),X0),inverse(inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_68931,c_71883]) ).
cnf(c_71940,plain,
multiply(multiply(X0,inverse(X0)),inverse(inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_68691,c_71883]) ).
cnf(c_71948,plain,
multiply(multiply(X0,inverse(X0)),inverse(inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_68691,c_71883]) ).
cnf(c_71959,plain,
multiply(multiply(X0,inverse(inverse(inverse(X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_69407,c_71883]) ).
cnf(c_71977,plain,
multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_71883,c_71883]) ).
cnf(c_71982,plain,
inverse(inverse(multiply(X0,inverse(multiply(X1,inverse(X1)))))) = X0,
inference(superposition,[status(thm)],[c_71883,c_68580]) ).
cnf(c_71985,plain,
multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X1)))),inverse(multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[status(thm)],[c_71883,c_68609]) ).
cnf(c_71987,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_71959,c_71977]) ).
cnf(c_71988,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_71948,c_71977]) ).
cnf(c_71989,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_71940,c_71988]) ).
cnf(c_71990,plain,
multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_71982,c_71989]) ).
cnf(c_71992,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_71937,c_71989]) ).
cnf(c_71995,plain,
multiply(multiply(inverse(X0),X0),inverse(inverse(X1))) = X1,
inference(light_normalisation,[status(thm)],[c_71939,c_71989]) ).
cnf(c_71996,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(demodulation,[status(thm)],[c_71995,c_71977]) ).
cnf(c_72011,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_71985,c_71989,c_71990]) ).
cnf(c_72022,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_71996]) ).
cnf(c_72062,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_67956,c_71989]) ).
cnf(c_72144,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),X2))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_71988,c_49]) ).
cnf(c_72223,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_71996,c_71987]) ).
cnf(c_72227,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_72022,c_72223]) ).
cnf(c_72929,plain,
inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_72011,c_71413]) ).
cnf(c_73635,plain,
inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_71992,c_72011]) ).
cnf(c_76421,plain,
multiply(multiply(X0,X1),multiply(inverse(X1),multiply(inverse(X0),X2))) = X2,
inference(demodulation,[status(thm)],[c_72144,c_71988,c_72929,c_73635]) ).
cnf(c_76458,plain,
multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_72062,c_76421]) ).
cnf(c_78292,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_72062,c_76458]) ).
cnf(c_78405,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_72227,c_78292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP057-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:49:55 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 75.78/11.25 % SZS status Started for theBenchmark.p
% 75.78/11.25 % SZS status Unsatisfiable for theBenchmark.p
% 75.78/11.25
% 75.78/11.25 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 75.78/11.25
% 75.78/11.25 ------ iProver source info
% 75.78/11.25
% 75.78/11.25 git: date: 2024-05-02 19:28:25 +0000
% 75.78/11.25 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 75.78/11.25 git: non_committed_changes: false
% 75.78/11.25
% 75.78/11.25 ------ Parsing...successful
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 75.78/11.25
% 75.78/11.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 75.78/11.25
% 75.78/11.25 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 75.78/11.25 ------ Proving...
% 75.78/11.25 ------ Problem Properties
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25 clauses 2
% 75.78/11.25 conjectures 1
% 75.78/11.25 EPR 0
% 75.78/11.25 Horn 2
% 75.78/11.25 unary 1
% 75.78/11.25 binary 0
% 75.78/11.25 lits 4
% 75.78/11.25 lits eq 4
% 75.78/11.25 fd_pure 0
% 75.78/11.25 fd_pseudo 0
% 75.78/11.25 fd_cond 0
% 75.78/11.25 fd_pseudo_cond 0
% 75.78/11.25 AC symbols 0
% 75.78/11.25
% 75.78/11.25 ------ Input Options Time Limit: Unbounded
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25 ------
% 75.78/11.25 Current options:
% 75.78/11.25 ------
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25 ------ Proving...
% 75.78/11.25
% 75.78/11.25
% 75.78/11.25 % SZS status Unsatisfiable for theBenchmark.p
% 75.78/11.25
% 75.78/11.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 75.78/11.25
% 75.78/11.25
%------------------------------------------------------------------------------