TSTP Solution File: REL006-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 13:40:36 EDT 2023
% Result : Unsatisfiable 31.31s 4.65s
% Output : CNFRefutation 31.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 14
% Syntax : Number of clauses : 95 ( 95 unt; 0 nHn; 27 RR)
% Number of literals : 95 ( 94 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 : 112 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
meet(converse(sk1),sk2) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,negated_conjecture,
meet(sk1,converse(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,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_200,c_54]) ).
cnf(c_466,plain,
join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_200,c_112]) ).
cnf(c_469,plain,
join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(theory_normalisation,[status(thm)],[c_466,c_52,c_51]) ).
cnf(c_472,plain,
meet(sk2,converse(sk1)) = zero,
inference(demodulation,[status(thm)],[c_49,c_465]) ).
cnf(c_491,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_882,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_62,c_237]) ).
cnf(c_1570,plain,
join(zero,meet(converse(sk1),complement(sk2))) = converse(sk1),
inference(superposition,[status(thm)],[c_472,c_469]) ).
cnf(c_1845,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_648,c_654]) ).
cnf(c_1846,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_304,c_1845]) ).
cnf(c_1856,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_209,c_1845]) ).
cnf(c_1864,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_1845,c_237]) ).
cnf(c_1867,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_1864,c_62]) ).
cnf(c_1877,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_882,c_1867]) ).
cnf(c_1890,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1856,c_52]) ).
cnf(c_1904,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_1877,c_51]) ).
cnf(c_1924,plain,
join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_237,c_1904]) ).
cnf(c_1986,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_1904,c_491]) ).
cnf(c_2116,plain,
join(X0,join(X1,complement(X0))) = top,
inference(superposition,[status(thm)],[c_51,c_1924]) ).
cnf(c_2134,plain,
join(meet(X0,join(complement(complement(X0)),X1)),complement(top)) = X0,
inference(superposition,[status(thm)],[c_1924,c_112]) ).
cnf(c_2153,plain,
join(complement(top),meet(X0,join(complement(complement(X0)),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_2134,c_52,c_51]) ).
cnf(c_2154,plain,
join(zero,meet(X0,join(complement(complement(X0)),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_2153,c_209]) ).
cnf(c_2238,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_318,c_1890]) ).
cnf(c_2264,plain,
meet(converse(sk1),complement(sk2)) = converse(sk1),
inference(demodulation,[status(thm)],[c_1570,c_2238]) ).
cnf(c_2561,plain,
complement(complement(X0)) = X0,
inference(superposition,[status(thm)],[c_1846,c_2238]) ).
cnf(c_2572,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[status(thm)],[c_54,c_2561]) ).
cnf(c_2578,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2561,c_1845]) ).
cnf(c_2588,plain,
complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(superposition,[status(thm)],[c_2561,c_54]) ).
cnf(c_2640,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_2578,c_52]) ).
cnf(c_2699,plain,
join(meet(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[c_319,c_2640]) ).
cnf(c_2700,plain,
join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_469,c_2640]) ).
cnf(c_2714,plain,
join(X0,meet(X1,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_2700,c_52,c_51]) ).
cnf(c_2715,plain,
join(X0,meet(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_2699,c_52,c_51]) ).
cnf(c_2826,plain,
join(X0,complement(meet(X1,X0))) = top,
inference(superposition,[status(thm)],[c_2572,c_2116]) ).
cnf(c_2915,plain,
meet(X0,complement(join(X1,complement(complement(X0))))) = complement(top),
inference(superposition,[status(thm)],[c_2116,c_2588]) ).
cnf(c_2949,plain,
meet(X0,complement(join(X1,X0))) = zero,
inference(light_normalisation,[status(thm)],[c_2915,c_209,c_2561]) ).
cnf(c_3407,plain,
join(complement(sk2),converse(sk1)) = complement(sk2),
inference(superposition,[status(thm)],[c_2264,c_2714]) ).
cnf(c_3550,plain,
join(X0,converse(meet(converse(X0),X1))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_2715,c_225]) ).
cnf(c_3560,plain,
join(X0,converse(meet(converse(X0),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_3550,c_58]) ).
cnf(c_3587,plain,
join(converse(complement(sk2)),sk1) = converse(complement(sk2)),
inference(superposition,[status(thm)],[c_3407,c_226]) ).
cnf(c_3589,plain,
join(sk1,converse(complement(sk2))) = converse(complement(sk2)),
inference(theory_normalisation,[status(thm)],[c_3587,c_52,c_51]) ).
cnf(c_4151,plain,
join(zero,meet(X0,join(X0,X1))) = X0,
inference(light_normalisation,[status(thm)],[c_2154,c_2561]) ).
cnf(c_4202,plain,
meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_4151,c_2238]) ).
cnf(c_24086,plain,
meet(sk1,converse(complement(sk2))) = sk1,
inference(superposition,[status(thm)],[c_3589,c_4202]) ).
cnf(c_24133,plain,
join(converse(complement(sk2)),complement(sk1)) = top,
inference(superposition,[status(thm)],[c_24086,c_2826]) ).
cnf(c_24138,plain,
join(complement(sk1),converse(complement(sk2))) = top,
inference(theory_normalisation,[status(thm)],[c_24133,c_52,c_51]) ).
cnf(c_24332,plain,
join(converse(complement(sk1)),complement(sk2)) = converse(top),
inference(superposition,[status(thm)],[c_24138,c_226]) ).
cnf(c_24342,plain,
join(complement(sk2),converse(complement(sk1))) = converse(top),
inference(theory_normalisation,[status(thm)],[c_24332,c_52,c_51]) ).
cnf(c_24343,plain,
join(complement(sk2),converse(complement(sk1))) = top,
inference(light_normalisation,[status(thm)],[c_24342,c_1986]) ).
cnf(c_24397,plain,
meet(sk2,complement(converse(complement(sk1)))) = complement(top),
inference(superposition,[status(thm)],[c_24343,c_2588]) ).
cnf(c_24421,plain,
meet(sk2,complement(converse(complement(sk1)))) = zero,
inference(light_normalisation,[status(thm)],[c_24397,c_209]) ).
cnf(c_25284,plain,
join(meet(converse(complement(sk1)),sk2),zero) = sk2,
inference(superposition,[status(thm)],[c_24421,c_469]) ).
cnf(c_25288,plain,
join(zero,meet(converse(complement(sk1)),sk2)) = sk2,
inference(theory_normalisation,[status(thm)],[c_25284,c_52,c_51]) ).
cnf(c_108967,plain,
meet(converse(complement(sk1)),sk2) = sk2,
inference(superposition,[status(thm)],[c_25288,c_2238]) ).
cnf(c_109875,plain,
join(complement(sk1),converse(sk2)) = complement(sk1),
inference(superposition,[status(thm)],[c_108967,c_3560]) ).
cnf(c_111856,plain,
meet(converse(sk2),complement(complement(sk1))) = zero,
inference(superposition,[status(thm)],[c_109875,c_2949]) ).
cnf(c_111947,plain,
meet(converse(sk2),sk1) = zero,
inference(superposition,[status(thm)],[c_2561,c_111856]) ).
cnf(c_112060,plain,
meet(sk1,converse(sk2)) = zero,
inference(superposition,[status(thm)],[c_111947,c_465]) ).
cnf(c_112074,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_112060,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.35 % Computer : n029.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 19:51:55 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.47 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
% 31.31/4.65 % SZS status Started for theBenchmark.p
% 31.31/4.65 % SZS status Unsatisfiable for theBenchmark.p
% 31.31/4.65
% 31.31/4.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 31.31/4.65
% 31.31/4.65 ------ iProver source info
% 31.31/4.65
% 31.31/4.65 git: date: 2023-05-31 18:12:56 +0000
% 31.31/4.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 31.31/4.65 git: non_committed_changes: false
% 31.31/4.65 git: last_make_outside_of_git: false
% 31.31/4.65
% 31.31/4.65 ------ Parsing...successful
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 31.31/4.65
% 31.31/4.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.31/4.65
% 31.31/4.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 31.31/4.65 ------ Proving...
% 31.31/4.65 ------ Problem Properties
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65 clauses 15
% 31.31/4.65 conjectures 2
% 31.31/4.65 EPR 0
% 31.31/4.65 Horn 15
% 31.31/4.65 unary 15
% 31.31/4.65 binary 0
% 31.31/4.65 lits 15
% 31.31/4.65 lits eq 15
% 31.31/4.65 fd_pure 0
% 31.31/4.65 fd_pseudo 0
% 31.31/4.65 fd_cond 0
% 31.31/4.65 fd_pseudo_cond 0
% 31.31/4.65 AC symbols 1
% 31.31/4.65
% 31.31/4.65 ------ Input Options Time Limit: Unbounded
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65 ------
% 31.31/4.65 Current options:
% 31.31/4.65 ------
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65 ------ Proving...
% 31.31/4.65
% 31.31/4.65
% 31.31/4.65 % SZS status Unsatisfiable for theBenchmark.p
% 31.31/4.65
% 31.31/4.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.31/4.65
% 31.31/4.66
%------------------------------------------------------------------------------