TSTP Solution File: REL023-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL023-1 : TPTP v8.2.0. 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 : Mon Jun 24 13:56:06 EDT 2024
% Result : Unsatisfiable 2.92s 1.03s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 13
% Syntax : Number of clauses : 92 ( 92 unt; 0 nHn; 20 RR)
% Number of literals : 92 ( 91 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 107 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_51,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(c_52,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_53,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(c_54,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(c_55,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_56,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(c_57,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_59,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_60,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(c_61,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_62,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_76,negated_conjecture,
join(composition(sk1,meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
inference(theory_normalisation,[status(thm)],[c_49,c_51,c_50]) ).
cnf(c_77,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_52,c_51,c_50]) ).
cnf(c_78,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_60,c_51,c_50]) ).
cnf(c_109,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_77,c_53]) ).
cnf(c_110,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(demodulation,[status(thm)],[c_109,c_50]) ).
cnf(c_111,plain,
composition(join(meet(sk1,converse(sk2)),sk1),meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(ac_demodulation,[status(thm)],[c_76,c_56,c_51,c_50]) ).
cnf(c_112,plain,
composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(theory_normalisation,[status(thm)],[c_111,c_51,c_50]) ).
cnf(c_195,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_198,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_200,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_61,c_53]) ).
cnf(c_207,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_200,c_62]) ).
cnf(c_215,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_207,c_61]) ).
cnf(c_216,plain,
complement(join(complement(X0),zero)) = meet(X0,top),
inference(superposition,[status(thm)],[c_207,c_53]) ).
cnf(c_217,plain,
complement(join(zero,complement(X0))) = meet(X0,top),
inference(theory_normalisation,[status(thm)],[c_216,c_51,c_50]) ).
cnf(c_237,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_57,c_59]) ).
cnf(c_244,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_246,plain,
join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_51,c_61]) ).
cnf(c_252,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_263,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_215,c_51]) ).
cnf(c_404,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_62,c_110]) ).
cnf(c_409,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_53,c_110]) ).
cnf(c_412,plain,
join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_61,c_110]) ).
cnf(c_422,plain,
join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_412,c_51,c_50]) ).
cnf(c_423,plain,
join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_422,c_207]) ).
cnf(c_424,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_409,c_51,c_50]) ).
cnf(c_520,plain,
join(zero,meet(top,complement(zero))) = top,
inference(superposition,[status(thm)],[c_207,c_423]) ).
cnf(c_600,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_198,c_53]) ).
cnf(c_791,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_61,c_195]) ).
cnf(c_794,plain,
join(top,join(X0,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_215,c_195]) ).
cnf(c_875,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_55,c_237]) ).
cnf(c_895,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_875,c_57]) ).
cnf(c_940,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_895,c_55]) ).
cnf(c_947,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_895,c_252]) ).
cnf(c_949,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_947,c_895]) ).
cnf(c_1042,plain,
join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_940,c_78]) ).
cnf(c_1047,plain,
join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1042,c_949]) ).
cnf(c_1055,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_949,c_56]) ).
cnf(c_1368,plain,
join(X0,join(X1,complement(X0))) = join(top,X1),
inference(superposition,[status(thm)],[c_50,c_244]) ).
cnf(c_1371,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_61,c_244]) ).
cnf(c_1785,plain,
join(zero,meet(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_404,c_198]) ).
cnf(c_1793,plain,
join(top,meet(X0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1785,c_263]) ).
cnf(c_1805,plain,
join(top,join(X0,meet(X1,X1))) = join(X0,join(top,X1)),
inference(superposition,[status(thm)],[c_1793,c_195]) ).
cnf(c_1923,plain,
join(meet(X0,top),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_207,c_424]) ).
cnf(c_2091,plain,
join(meet(top,X0),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_600,c_1923]) ).
cnf(c_2133,plain,
join(meet(top,X0),meet(zero,X0)) = X0,
inference(superposition,[status(thm)],[c_600,c_2091]) ).
cnf(c_2217,plain,
join(meet(top,complement(zero)),zero) = complement(zero),
inference(superposition,[status(thm)],[c_62,c_2133]) ).
cnf(c_2223,plain,
join(zero,meet(top,complement(zero))) = complement(zero),
inference(theory_normalisation,[status(thm)],[c_2217,c_51,c_50]) ).
cnf(c_2224,plain,
complement(zero) = top,
inference(light_normalisation,[status(thm)],[c_2223,c_520]) ).
cnf(c_2251,plain,
complement(join(complement(X0),top)) = meet(X0,zero),
inference(superposition,[status(thm)],[c_2224,c_53]) ).
cnf(c_2259,plain,
complement(join(top,complement(X0))) = meet(X0,zero),
inference(theory_normalisation,[status(thm)],[c_2251,c_51,c_50]) ).
cnf(c_2353,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[status(thm)],[c_2224,c_2259]) ).
cnf(c_2471,plain,
join(top,join(top,meet(zero,zero))) = top,
inference(superposition,[status(thm)],[c_2353,c_246]) ).
cnf(c_3057,plain,
join(top,top) = top,
inference(demodulation,[status(thm)],[c_2471,c_794,c_1805]) ).
cnf(c_3059,plain,
meet(zero,zero) = complement(top),
inference(demodulation,[status(thm)],[c_2353,c_3057]) ).
cnf(c_3060,plain,
meet(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_3059,c_207]) ).
cnf(c_3071,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_3060,c_1785]) ).
cnf(c_3095,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_3071,c_51]) ).
cnf(c_3373,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1785,c_3095]) ).
cnf(c_3387,plain,
meet(X0,top) = complement(complement(X0)),
inference(demodulation,[status(thm)],[c_217,c_3373]) ).
cnf(c_3498,plain,
join(join(complement(X0),X1),X0) = join(meet(X0,X1),top),
inference(superposition,[status(thm)],[c_110,c_791]) ).
cnf(c_3524,plain,
join(X0,join(X1,complement(X0))) = join(top,meet(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_3498,c_51,c_50]) ).
cnf(c_3525,plain,
join(top,meet(X0,X1)) = join(top,X1),
inference(light_normalisation,[status(thm)],[c_3524,c_1368]) ).
cnf(c_3578,plain,
join(top,complement(X0)) = join(top,zero),
inference(superposition,[status(thm)],[c_62,c_3525]) ).
cnf(c_3588,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_3578,c_215]) ).
cnf(c_3592,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_1371,c_3588]) ).
cnf(c_3684,plain,
join(meet(X0,top),complement(top)) = X0,
inference(superposition,[status(thm)],[c_3592,c_110]) ).
cnf(c_3689,plain,
join(complement(top),meet(X0,top)) = X0,
inference(theory_normalisation,[status(thm)],[c_3684,c_51,c_50]) ).
cnf(c_3690,plain,
join(zero,complement(complement(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_3689,c_207,c_3387]) ).
cnf(c_4303,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_3690,c_3373]) ).
cnf(c_6128,plain,
composition(join(one,one),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_1047,c_1055]) ).
cnf(c_6130,plain,
composition(join(one,one),X0) = X0,
inference(superposition,[status(thm)],[c_4303,c_6128]) ).
cnf(c_6144,plain,
join(one,one) = one,
inference(superposition,[status(thm)],[c_6130,c_55]) ).
cnf(c_9564,plain,
join(X0,composition(one,X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_6144,c_1055]) ).
cnf(c_9613,plain,
join(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_9564,c_949]) ).
cnf(c_10097,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_9613,c_51]) ).
cnf(c_10529,plain,
join(meet(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[c_424,c_10097]) ).
cnf(c_10582,plain,
join(X0,meet(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_10529,c_51,c_50]) ).
cnf(c_10596,plain,
composition(sk1,meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(demodulation,[status(thm)],[c_112,c_10582]) ).
cnf(c_10597,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : REL023-1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sun Jun 23 06:00:39 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.15/0.39 Running UEQ theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.92/1.03 % SZS status Started for theBenchmark.p
% 2.92/1.03 % SZS status Unsatisfiable for theBenchmark.p
% 2.92/1.03
% 2.92/1.03 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.92/1.03
% 2.92/1.03 ------ iProver source info
% 2.92/1.03
% 2.92/1.03 git: date: 2024-06-12 09:56:46 +0000
% 2.92/1.03 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.92/1.03 git: non_committed_changes: false
% 2.92/1.03
% 2.92/1.03 ------ Parsing...successful
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.92/1.03
% 2.92/1.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.92/1.03
% 2.92/1.03 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.92/1.03 ------ Proving...
% 2.92/1.03 ------ Problem Properties
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03 clauses 14
% 2.92/1.03 conjectures 0
% 2.92/1.03 EPR 0
% 2.92/1.03 Horn 14
% 2.92/1.03 unary 14
% 2.92/1.03 binary 0
% 2.92/1.03 lits 14
% 2.92/1.03 lits eq 14
% 2.92/1.03 fd_pure 0
% 2.92/1.03 fd_pseudo 0
% 2.92/1.03 fd_cond 0
% 2.92/1.03 fd_pseudo_cond 0
% 2.92/1.03 AC symbols 1
% 2.92/1.03
% 2.92/1.03 ------ Input Options Time Limit: Unbounded
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03 ------
% 2.92/1.03 Current options:
% 2.92/1.03 ------
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03 ------ Proving...
% 2.92/1.03
% 2.92/1.03
% 2.92/1.03 % SZS status Unsatisfiable for theBenchmark.p
% 2.92/1.03
% 2.92/1.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.92/1.03
% 2.92/1.03
%------------------------------------------------------------------------------