TSTP Solution File: REL007-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL007-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Thu Aug 31 13:40:37 EDT 2023
% Result : Unsatisfiable 27.14s 4.15s
% Output : CNFRefutation 27.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of clauses : 92 ( 92 unt; 0 nHn; 25 RR)
% Number of literals : 92 ( 91 equ; 1 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 110 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
meet(sk1,converse(sk2)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,negated_conjecture,
meet(converse(sk1),sk2) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
cnf(c_51,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_52,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_53,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_54,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(c_55,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_56,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_58,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_59,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_60,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_61,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(c_62,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_63,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_77,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_53,c_52,c_51]) ).
cnf(c_78,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_61,c_52,c_51]) ).
cnf(c_111,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_77,c_54]) ).
cnf(c_112,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_111,c_52,c_51]) ).
cnf(c_200,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_202,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_62,c_54]) ).
cnf(c_209,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_202,c_63]) ).
cnf(c_225,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_58,c_59]) ).
cnf(c_226,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_58,c_59]) ).
cnf(c_232,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_58,c_60]) ).
cnf(c_237,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_62,c_52]) ).
cnf(c_243,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_56,c_55]) ).
cnf(c_304,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_63,c_112]) ).
cnf(c_306,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_54,c_112]) ).
cnf(c_309,plain,
join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_62,c_112]) ).
cnf(c_317,plain,
join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_309,c_52,c_51]) ).
cnf(c_318,plain,
join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_317,c_209]) ).
cnf(c_319,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_306,c_52,c_51]) ).
cnf(c_465,plain,
join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_200,c_112]) ).
cnf(c_468,plain,
join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(theory_normalisation,[status(thm)],[c_465,c_52,c_51]) ).
cnf(c_489,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_62,c_225]) ).
cnf(c_606,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_56,c_232]) ).
cnf(c_626,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_606,c_58]) ).
cnf(c_648,plain,
join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_626,c_78]) ).
cnf(c_651,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_626,c_243]) ).
cnf(c_654,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_651,c_626]) ).
cnf(c_892,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_62,c_237]) ).
cnf(c_1815,plain,
join(zero,meet(converse(sk2),complement(sk1))) = converse(sk2),
inference(superposition,[status(thm)],[c_49,c_468]) ).
cnf(c_2093,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_648,c_654]) ).
cnf(c_2094,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_304,c_2093]) ).
cnf(c_2107,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_209,c_2093]) ).
cnf(c_2116,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_2093,c_237]) ).
cnf(c_2119,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_2116,c_62]) ).
cnf(c_2134,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_892,c_2119]) ).
cnf(c_2150,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2107,c_52]) ).
cnf(c_2192,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_2134,c_51]) ).
cnf(c_2213,plain,
join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_237,c_2192]) ).
cnf(c_2275,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_2192,c_489]) ).
cnf(c_2314,plain,
join(X0,join(X1,complement(X0))) = top,
inference(superposition,[status(thm)],[c_51,c_2213]) ).
cnf(c_2332,plain,
join(meet(X0,join(complement(complement(X0)),X1)),complement(top)) = X0,
inference(superposition,[status(thm)],[c_2213,c_112]) ).
cnf(c_2352,plain,
join(complement(top),meet(X0,join(complement(complement(X0)),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_2332,c_52,c_51]) ).
cnf(c_2353,plain,
join(zero,meet(X0,join(complement(complement(X0)),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_2352,c_209]) ).
cnf(c_2505,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_318,c_2150]) ).
cnf(c_2535,plain,
meet(converse(sk2),complement(sk1)) = converse(sk2),
inference(demodulation,[status(thm)],[c_1815,c_2505]) ).
cnf(c_2786,plain,
complement(complement(X0)) = X0,
inference(superposition,[status(thm)],[c_2094,c_2505]) ).
cnf(c_2796,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[status(thm)],[c_54,c_2786]) ).
cnf(c_2801,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2786,c_2093]) ).
cnf(c_2811,plain,
complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(superposition,[status(thm)],[c_2786,c_54]) ).
cnf(c_2836,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2801,c_52]) ).
cnf(c_2880,plain,
join(meet(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[c_319,c_2836]) ).
cnf(c_2881,plain,
join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_468,c_2836]) ).
cnf(c_2895,plain,
join(X0,meet(X1,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_2881,c_52,c_51]) ).
cnf(c_2896,plain,
join(X0,meet(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_2880,c_52,c_51]) ).
cnf(c_3068,plain,
join(X0,complement(meet(X1,X0))) = top,
inference(superposition,[status(thm)],[c_2796,c_2314]) ).
cnf(c_3150,plain,
meet(X0,complement(join(X1,complement(complement(X0))))) = complement(top),
inference(superposition,[status(thm)],[c_2314,c_2811]) ).
cnf(c_3182,plain,
meet(X0,complement(join(X1,X0))) = zero,
inference(light_normalisation,[status(thm)],[c_3150,c_209,c_2786]) ).
cnf(c_3557,plain,
join(complement(sk1),converse(sk2)) = complement(sk1),
inference(superposition,[status(thm)],[c_2535,c_2895]) ).
cnf(c_3596,plain,
join(converse(complement(sk1)),sk2) = converse(complement(sk1)),
inference(superposition,[status(thm)],[c_3557,c_226]) ).
cnf(c_3598,plain,
join(sk2,converse(complement(sk1))) = converse(complement(sk1)),
inference(theory_normalisation,[status(thm)],[c_3596,c_52,c_51]) ).
cnf(c_3725,plain,
join(X0,converse(meet(converse(X0),X1))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_2896,c_225]) ).
cnf(c_3734,plain,
join(X0,converse(meet(converse(X0),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_3725,c_58]) ).
cnf(c_4436,plain,
join(zero,meet(X0,join(X0,X1))) = X0,
inference(light_normalisation,[status(thm)],[c_2353,c_2786]) ).
cnf(c_4489,plain,
meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_4436,c_2505]) ).
cnf(c_20631,plain,
meet(sk2,converse(complement(sk1))) = sk2,
inference(superposition,[status(thm)],[c_3598,c_4489]) ).
cnf(c_20675,plain,
join(converse(complement(sk1)),complement(sk2)) = top,
inference(superposition,[status(thm)],[c_20631,c_3068]) ).
cnf(c_20679,plain,
join(complement(sk2),converse(complement(sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_20675,c_52,c_51]) ).
cnf(c_21140,plain,
join(converse(complement(sk2)),complement(sk1)) = converse(top),
inference(superposition,[status(thm)],[c_20679,c_226]) ).
cnf(c_21150,plain,
join(complement(sk1),converse(complement(sk2))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_21140,c_52,c_51]) ).
cnf(c_21151,plain,
join(complement(sk1),converse(complement(sk2))) = top,
inference(light_normalisation,[status(thm)],[c_21150,c_2275]) ).
cnf(c_21203,plain,
meet(sk1,complement(converse(complement(sk2)))) = complement(top),
inference(superposition,[status(thm)],[c_21151,c_2811]) ).
cnf(c_21227,plain,
meet(sk1,complement(converse(complement(sk2)))) = zero,
inference(light_normalisation,[status(thm)],[c_21203,c_209]) ).
cnf(c_21265,plain,
join(meet(converse(complement(sk2)),sk1),zero) = sk1,
inference(superposition,[status(thm)],[c_21227,c_468]) ).
cnf(c_21269,plain,
join(zero,meet(converse(complement(sk2)),sk1)) = sk1,
inference(theory_normalisation,[status(thm)],[c_21265,c_52,c_51]) ).
cnf(c_95442,plain,
meet(converse(complement(sk2)),sk1) = sk1,
inference(superposition,[status(thm)],[c_21269,c_2505]) ).
cnf(c_95543,plain,
join(complement(sk2),converse(sk1)) = complement(sk2),
inference(superposition,[status(thm)],[c_95442,c_3734]) ).
cnf(c_95955,plain,
meet(converse(sk1),complement(complement(sk2))) = zero,
inference(superposition,[status(thm)],[c_95543,c_3182]) ).
cnf(c_96036,plain,
meet(converse(sk1),sk2) = zero,
inference(superposition,[status(thm)],[c_2786,c_95955]) ).
cnf(c_96115,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_96036,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL007-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 20:59:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running UEQ theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.14/4.15 % SZS status Started for theBenchmark.p
% 27.14/4.15 % SZS status Unsatisfiable for theBenchmark.p
% 27.14/4.15
% 27.14/4.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 27.14/4.15
% 27.14/4.15 ------ iProver source info
% 27.14/4.15
% 27.14/4.15 git: date: 2023-05-31 18:12:56 +0000
% 27.14/4.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 27.14/4.15 git: non_committed_changes: false
% 27.14/4.15 git: last_make_outside_of_git: false
% 27.14/4.15
% 27.14/4.15 ------ Parsing...successful
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 27.14/4.15
% 27.14/4.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 27.14/4.15
% 27.14/4.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 27.14/4.15 ------ Proving...
% 27.14/4.15 ------ Problem Properties
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15 clauses 15
% 27.14/4.15 conjectures 2
% 27.14/4.15 EPR 0
% 27.14/4.15 Horn 15
% 27.14/4.15 unary 15
% 27.14/4.15 binary 0
% 27.14/4.15 lits 15
% 27.14/4.15 lits eq 15
% 27.14/4.15 fd_pure 0
% 27.14/4.15 fd_pseudo 0
% 27.14/4.15 fd_cond 0
% 27.14/4.15 fd_pseudo_cond 0
% 27.14/4.15 AC symbols 1
% 27.14/4.15
% 27.14/4.15 ------ Input Options Time Limit: Unbounded
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15 ------
% 27.14/4.15 Current options:
% 27.14/4.15 ------
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15 ------ Proving...
% 27.14/4.15
% 27.14/4.15
% 27.14/4.15 % SZS status Unsatisfiable for theBenchmark.p
% 27.14/4.15
% 27.14/4.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.14/4.15
% 27.14/4.16
%------------------------------------------------------------------------------