TSTP Solution File: GRP002-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP002-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:19:43 EDT 2024
% Result : Unsatisfiable 19.94s 3.12s
% Output : CNFRefutation 19.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 6 RR)
% Number of literals : 38 ( 37 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,multiply(X1,multiply(inverse(X0),inverse(X1)))) = commutator(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutator) ).
cnf(c_50,plain,
multiply(X0,multiply(X0,X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_cubed_is_identity) ).
cnf(c_51,negated_conjecture,
commutator(commutator(a,b),b) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutator) ).
cnf(c_52,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_53,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_54,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_72,plain,
commutator(multiply(a,multiply(b,multiply(inverse(a),inverse(b)))),b) != identity,
inference(demodulation,[status(thm)],[c_51,c_49]) ).
cnf(c_73,plain,
multiply(a,multiply(b,multiply(inverse(a),multiply(inverse(b),multiply(b,multiply(inverse(multiply(a,multiply(b,multiply(inverse(a),inverse(b))))),inverse(b))))))) != identity,
inference(demodulation,[status(thm)],[c_72,c_49,c_54]) ).
cnf(c_233,plain,
multiply(X0,multiply(multiply(X0,X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_50,c_54]) ).
cnf(c_235,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_53,c_54]) ).
cnf(c_238,plain,
multiply(X0,multiply(X1,multiply(multiply(X0,X1),multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_254,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_235,c_52]) ).
cnf(c_256,plain,
multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(demodulation,[status(thm)],[c_233,c_52,c_54]) ).
cnf(c_258,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))) = identity,
inference(demodulation,[status(thm)],[c_238,c_54]) ).
cnf(c_265,plain,
multiply(inverse(X0),identity) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_50,c_254]) ).
cnf(c_268,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_54,c_254]) ).
cnf(c_306,plain,
multiply(X0,identity) = X0,
inference(superposition,[status(thm)],[c_50,c_256]) ).
cnf(c_314,plain,
multiply(X0,multiply(X0,X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_256,c_254]) ).
cnf(c_341,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_254,c_258]) ).
cnf(c_920,plain,
multiply(X0,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_265,c_306]) ).
cnf(c_1012,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(X1,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_256,c_268]) ).
cnf(c_1022,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_341,c_268]) ).
cnf(c_1398,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,X0)))) = inverse(X1),
inference(demodulation,[status(thm)],[c_1022,c_54,c_306,c_314]) ).
cnf(c_1459,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X2))))) = multiply(X1,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_1012,c_54,c_314]) ).
cnf(c_14863,plain,
multiply(X0,multiply(X1,multiply(X0,X1))) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_54,c_920]) ).
cnf(c_14884,plain,
multiply(X0,multiply(multiply(X1,X2),multiply(X0,multiply(X1,multiply(X2,X0))))) = inverse(multiply(X1,X2)),
inference(superposition,[status(thm)],[c_54,c_1398]) ).
cnf(c_14892,plain,
multiply(X0,multiply(X1,multiply(X0,X1))) = multiply(X1,multiply(X1,inverse(X0))),
inference(superposition,[status(thm)],[c_1398,c_256]) ).
cnf(c_14918,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,inverse(X0))))) = multiply(X1,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_920,c_1459]) ).
cnf(c_14930,plain,
multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2)))) = multiply(X1,multiply(X0,multiply(X1,multiply(X0,X2)))),
inference(superposition,[status(thm)],[c_1459,c_256]) ).
cnf(c_14934,plain,
multiply(X0,multiply(X0,multiply(X1,multiply(inverse(X0),multiply(X1,multiply(inverse(X0),X2)))))) = multiply(X1,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_1459,c_314]) ).
cnf(c_14958,plain,
multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,X0)))))) = inverse(multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_14884,c_54]) ).
cnf(c_14962,plain,
multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X0,X2)))))))) = multiply(X1,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_14934,c_314]) ).
cnf(c_14981,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(demodulation,[status(thm)],[c_1398,c_14863]) ).
cnf(c_15409,plain,
multiply(X0,multiply(X1,multiply(inverse(X0),multiply(X0,multiply(X1,identity))))) = inverse(multiply(X1,inverse(X0))),
inference(superposition,[status(thm)],[c_53,c_14958]) ).
cnf(c_16152,plain,
inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c_15409,c_256,c_306,c_314,c_920]) ).
cnf(c_17060,plain,
multiply(a,multiply(b,multiply(inverse(a),multiply(inverse(b),multiply(b,multiply(inverse(multiply(a,multiply(b,inverse(multiply(b,inverse(inverse(a))))))),inverse(b))))))) != identity,
inference(demodulation,[status(thm)],[c_73,c_16152]) ).
cnf(c_17061,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_17060,c_54,c_256,c_306,c_314,c_341,c_920,c_14863,c_14892,c_14918,c_14930,c_14981,c_14962]) ).
cnf(c_17062,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_17061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP002-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 00:29:01 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running UEQ theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 19.94/3.12 % SZS status Started for theBenchmark.p
% 19.94/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 19.94/3.12
% 19.94/3.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.94/3.12
% 19.94/3.12 ------ iProver source info
% 19.94/3.12
% 19.94/3.12 git: date: 2024-05-02 19:28:25 +0000
% 19.94/3.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 19.94/3.12 git: non_committed_changes: false
% 19.94/3.12
% 19.94/3.12 ------ Parsing...successful
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 19.94/3.12
% 19.94/3.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 19.94/3.12
% 19.94/3.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 19.94/3.12 ------ Proving...
% 19.94/3.12 ------ Problem Properties
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12 clauses 6
% 19.94/3.12 conjectures 0
% 19.94/3.12 EPR 0
% 19.94/3.12 Horn 6
% 19.94/3.12 unary 6
% 19.94/3.12 binary 0
% 19.94/3.12 lits 6
% 19.94/3.12 lits eq 6
% 19.94/3.12 fd_pure 0
% 19.94/3.12 fd_pseudo 0
% 19.94/3.12 fd_cond 0
% 19.94/3.12 fd_pseudo_cond 0
% 19.94/3.12 AC symbols 0
% 19.94/3.12
% 19.94/3.12 ------ Input Options Time Limit: Unbounded
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12 ------
% 19.94/3.12 Current options:
% 19.94/3.12 ------
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12 ------ Proving...
% 19.94/3.12
% 19.94/3.12
% 19.94/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 19.94/3.12
% 19.94/3.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.94/3.12
% 19.94/3.12
%------------------------------------------------------------------------------