TSTP Solution File: GRP438-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP438-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 02:22:35 EDT 2024
% Result : Unsatisfiable 23.79s 3.66s
% Output : CNFRefutation 23.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 2
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 3 RR)
% Number of literals : 49 ( 48 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 172 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_93,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))),multiply(X4,multiply(X2,X0))))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_107,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))),
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_154,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1))) = X3,
inference(superposition,[status(thm)],[c_107,c_93]) ).
cnf(c_163,plain,
multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X0,multiply(X3,inverse(X4))),multiply(X4,multiply(X1,X2)))))))) = X3,
inference(superposition,[status(thm)],[c_107,c_49]) ).
cnf(c_208,plain,
multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X2))) = X3,
inference(superposition,[status(thm)],[c_49,c_163]) ).
cnf(c_263,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(X2)),X3))),inverse(X1))) = inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),X3)))),
inference(superposition,[status(thm)],[c_49,c_154]) ).
cnf(c_315,plain,
multiply(inverse(X0),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X0)))))) = multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4))))),
inference(superposition,[status(thm)],[c_208,c_49]) ).
cnf(c_403,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))) = multiply(X4,inverse(multiply(X1,multiply(X2,multiply(X3,X4))))),
inference(superposition,[status(thm)],[c_315,c_315]) ).
cnf(c_497,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(multiply(X4,inverse(multiply(X5,multiply(X1,multiply(X2,X4))))),X0))))) = X5,
inference(superposition,[status(thm)],[c_403,c_49]) ).
cnf(c_520,plain,
multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))),X2))) = X3,
inference(superposition,[status(thm)],[c_403,c_208]) ).
cnf(c_581,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X4,multiply(X1,X2)))))))),inverse(X4))) = X3,
inference(superposition,[status(thm)],[c_520,c_154]) ).
cnf(c_2486,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X3),X0))),X2)))) = X3,
inference(superposition,[status(thm)],[c_263,c_154]) ).
cnf(c_2578,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(X3)),X0))),inverse(X2)))) = X3,
inference(superposition,[status(thm)],[c_263,c_497]) ).
cnf(c_2842,plain,
inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),X0))))),X1)) = X3,
inference(superposition,[status(thm)],[c_581,c_2486]) ).
cnf(c_2901,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,X3))),X2))),X1)) = X3,
inference(superposition,[status(thm)],[c_2486,c_154]) ).
cnf(c_3146,plain,
multiply(X0,multiply(multiply(inverse(X0),X1),X2)) = multiply(X3,multiply(multiply(inverse(X3),X1),X2)),
inference(superposition,[status(thm)],[c_2842,c_2901]) ).
cnf(c_4587,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X3)),X0))),X2))) = X3,
inference(superposition,[status(thm)],[c_2486,c_2578]) ).
cnf(c_4669,plain,
multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1) = X3,
inference(superposition,[status(thm)],[c_581,c_4587]) ).
cnf(c_4904,plain,
multiply(multiply(X0,inverse(multiply(X1,X2))),X1) = multiply(multiply(X0,inverse(multiply(X3,X2))),X3),
inference(superposition,[status(thm)],[c_2901,c_4669]) ).
cnf(c_4950,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,X2)))) = X0,
inference(superposition,[status(thm)],[c_4669,c_49]) ).
cnf(c_5127,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))) = X0,
inference(superposition,[status(thm)],[c_2901,c_4950]) ).
cnf(c_6770,plain,
multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(inverse(X3),X1))))),X2))) = X0,
inference(superposition,[status(thm)],[c_581,c_5127]) ).
cnf(c_7162,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_6770,c_2901]) ).
cnf(c_7353,plain,
multiply(X0,multiply(inverse(X0),inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X4))))))) = multiply(X4,X3),
inference(superposition,[status(thm)],[c_49,c_7162]) ).
cnf(c_8868,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_5127,c_7353]) ).
cnf(c_9761,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X2)),X0))),X3)))) = inverse(X3),
inference(superposition,[status(thm)],[c_8868,c_2486]) ).
cnf(c_9809,plain,
multiply(multiply(multiply(X0,X1),inverse(multiply(X2,X1))),X2) = multiply(multiply(X3,inverse(X3)),X0),
inference(superposition,[status(thm)],[c_8868,c_4904]) ).
cnf(c_14008,plain,
multiply(multiply(multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(inverse(X3),X1))))),X2))),inverse(X4)),X4) = multiply(multiply(X5,inverse(X5)),X0),
inference(superposition,[status(thm)],[c_6770,c_9809]) ).
cnf(c_14373,plain,
multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X1,inverse(X2)),X2),
inference(light_normalisation,[status(thm)],[c_14008,c_6770]) ).
cnf(c_15545,plain,
multiply(multiply(X0,X1),inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(X2)))))) = X0,
inference(superposition,[status(thm)],[c_14373,c_49]) ).
cnf(c_16280,plain,
multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(X0))) = multiply(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_15545,c_8868]) ).
cnf(c_18981,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X2)),X0))),X3)))) = multiply(multiply(X4,inverse(X4)),inverse(X3)),
inference(superposition,[status(thm)],[c_16280,c_2486]) ).
cnf(c_19211,plain,
multiply(multiply(X0,inverse(X0)),inverse(X1)) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_18981,c_9761]) ).
cnf(c_19500,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_2486,c_19211]) ).
cnf(c_19630,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_14373,c_19500]) ).
cnf(c_19835,plain,
multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(superposition,[status(thm)],[c_19500,c_19500]) ).
cnf(c_20082,plain,
multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,X3)))),X2))) = multiply(X3,inverse(X1)),
inference(superposition,[status(thm)],[c_19630,c_520]) ).
cnf(c_20189,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_520,c_20082]) ).
cnf(c_21581,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_20189,c_19500]) ).
cnf(c_21652,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_21581,c_19500]) ).
cnf(c_21774,plain,
multiply(X0,multiply(multiply(inverse(X0),X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_21652,c_3146]) ).
cnf(c_21905,plain,
multiply(multiply(X0,inverse(X0)),X1) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_19835,c_7162]) ).
cnf(c_21937,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_21905,c_19500]) ).
cnf(c_21996,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_21581,c_21937]) ).
cnf(c_28083,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_21996,c_21774]) ).
cnf(c_28146,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_28083]) ).
cnf(c_28149,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_28146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP438-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n021.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 : Thu May 2 23:55:58 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running UEQ theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.79/3.66 % SZS status Started for theBenchmark.p
% 23.79/3.66 % SZS status Unsatisfiable for theBenchmark.p
% 23.79/3.66
% 23.79/3.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.79/3.66
% 23.79/3.66 ------ iProver source info
% 23.79/3.66
% 23.79/3.66 git: date: 2024-05-02 19:28:25 +0000
% 23.79/3.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.79/3.66 git: non_committed_changes: false
% 23.79/3.66
% 23.79/3.66 ------ Parsing...successful
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.79/3.66
% 23.79/3.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.79/3.66
% 23.79/3.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.79/3.66 ------ Proving...
% 23.79/3.66 ------ Problem Properties
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66 clauses 2
% 23.79/3.66 conjectures 1
% 23.79/3.66 EPR 0
% 23.79/3.66 Horn 2
% 23.79/3.66 unary 2
% 23.79/3.66 binary 0
% 23.79/3.66 lits 2
% 23.79/3.66 lits eq 2
% 23.79/3.66 fd_pure 0
% 23.79/3.66 fd_pseudo 0
% 23.79/3.66 fd_cond 0
% 23.79/3.66 fd_pseudo_cond 0
% 23.79/3.66 AC symbols 0
% 23.79/3.66
% 23.79/3.66 ------ Input Options Time Limit: Unbounded
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66 ------
% 23.79/3.66 Current options:
% 23.79/3.66 ------
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66 ------ Proving...
% 23.79/3.66
% 23.79/3.66
% 23.79/3.66 % SZS status Unsatisfiable for theBenchmark.p
% 23.79/3.66
% 23.79/3.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.79/3.66
% 23.79/3.66
%------------------------------------------------------------------------------