TSTP Solution File: REL031-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL031-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:56:46 EDT 2024
% Result : Unsatisfiable 141.36s 18.65s
% Output : CNFRefutation 141.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 11 RR)
% Number of literals : 32 ( 31 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,negated_conjecture,
join(composition(converse(sk2),sk2),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
cnf(c_51,negated_conjecture,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
cnf(c_52,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_53,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(c_56,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(c_57,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_58,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(c_59,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_60,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_61,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_78,negated_conjecture,
join(one,composition(converse(sk1),sk1)) = one,
inference(theory_normalisation,[status(thm)],[c_49,c_53,c_52]) ).
cnf(c_79,negated_conjecture,
join(one,composition(converse(sk2),sk2)) = one,
inference(theory_normalisation,[status(thm)],[c_50,c_53,c_52]) ).
cnf(c_80,negated_conjecture,
join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) != one,
inference(theory_normalisation,[status(thm)],[c_51,c_53,c_52]) ).
cnf(c_237,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_59,c_61]) ).
cnf(c_244,plain,
join(one,join(composition(converse(sk2),sk2),X0)) = join(one,X0),
inference(superposition,[status(thm)],[c_79,c_53]) ).
cnf(c_252,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_57,c_56]) ).
cnf(c_415,plain,
join(one,composition(join(converse(sk2),X0),sk2)) = join(one,composition(X0,sk2)),
inference(superposition,[status(thm)],[c_58,c_244]) ).
cnf(c_1416,plain,
join(one,composition(converse(join(sk2,X0)),sk2)) = join(one,composition(converse(X0),sk2)),
inference(superposition,[status(thm)],[c_60,c_415]) ).
cnf(c_1657,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_57,c_237]) ).
cnf(c_1693,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1657,c_59]) ).
cnf(c_1733,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1693,c_252]) ).
cnf(c_1740,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1733,c_1693]) ).
cnf(c_1781,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_1740,c_58]) ).
cnf(c_7682,plain,
join(X0,composition(composition(converse(sk1),sk1),X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_78,c_1781]) ).
cnf(c_7788,plain,
join(X0,composition(composition(converse(sk1),sk1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_7682,c_1740]) ).
cnf(c_40473,plain,
join(X0,composition(converse(sk1),composition(sk1,X0))) = X0,
inference(superposition,[status(thm)],[c_56,c_7788]) ).
cnf(c_192690,plain,
join(one,composition(converse(composition(converse(sk1),composition(sk1,sk2))),sk2)) = join(one,composition(converse(sk2),sk2)),
inference(superposition,[status(thm)],[c_40473,c_1416]) ).
cnf(c_192823,plain,
join(one,composition(converse(composition(converse(sk1),composition(sk1,sk2))),sk2)) = one,
inference(light_normalisation,[status(thm)],[c_192690,c_79]) ).
cnf(c_233511,plain,
join(one,composition(composition(converse(composition(sk1,sk2)),sk1),sk2)) = one,
inference(superposition,[status(thm)],[c_237,c_192823]) ).
cnf(c_317087,plain,
join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) = one,
inference(superposition,[status(thm)],[c_56,c_233511]) ).
cnf(c_317213,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_317087,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL031-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n032.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 20:01:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running UEQ theorem proving
% 0.18/0.45 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
% 141.36/18.65 % SZS status Started for theBenchmark.p
% 141.36/18.65 % SZS status Unsatisfiable for theBenchmark.p
% 141.36/18.65
% 141.36/18.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 141.36/18.65
% 141.36/18.65 ------ iProver source info
% 141.36/18.65
% 141.36/18.65 git: date: 2024-05-02 19:28:25 +0000
% 141.36/18.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 141.36/18.65 git: non_committed_changes: false
% 141.36/18.65
% 141.36/18.65 ------ Parsing...successful
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 141.36/18.65
% 141.36/18.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 141.36/18.65
% 141.36/18.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 141.36/18.65 ------ Proving...
% 141.36/18.65 ------ Problem Properties
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65 clauses 16
% 141.36/18.65 conjectures 3
% 141.36/18.65 EPR 0
% 141.36/18.65 Horn 16
% 141.36/18.65 unary 16
% 141.36/18.65 binary 0
% 141.36/18.65 lits 16
% 141.36/18.65 lits eq 16
% 141.36/18.65 fd_pure 0
% 141.36/18.65 fd_pseudo 0
% 141.36/18.65 fd_cond 0
% 141.36/18.65 fd_pseudo_cond 0
% 141.36/18.65 AC symbols 1
% 141.36/18.65
% 141.36/18.65 ------ Input Options Time Limit: Unbounded
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65 ------
% 141.36/18.65 Current options:
% 141.36/18.65 ------
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65 ------ Proving...
% 141.36/18.65
% 141.36/18.65
% 141.36/18.65 % SZS status Unsatisfiable for theBenchmark.p
% 141.36/18.65
% 141.36/18.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 141.36/18.65
% 141.36/18.65
%------------------------------------------------------------------------------