TSTP Solution File: REL004+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL004+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 13:40:34 EDT 2023
% Result : Theorem 31.68s 5.23s
% Output : CNFRefutation 31.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 93 unt; 0 def)
% Number of atoms : 95 ( 94 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 133 ( 8 sgn; 47 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ? [X0] : converse(complement(X0)) != complement(converse(X0))
=> converse(complement(sK0)) != complement(converse(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f22,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f34,f25]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f22]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f26]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f27]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f29]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f32]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f33]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f39]) ).
cnf(c_64,negated_conjecture,
complement(converse(sK0)) != converse(complement(sK0)),
inference(cnf_transformation,[],[f38]) ).
cnf(c_80,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
cnf(c_81,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
cnf(c_120,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
cnf(c_201,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_212,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_80]) ).
cnf(c_218,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_212,c_50,c_49]) ).
cnf(c_219,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_218,c_120]) ).
cnf(c_225,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_228,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_233,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_274,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_201]) ).
cnf(c_455,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_225]) ).
cnf(c_479,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_455,c_55]) ).
cnf(c_503,plain,
join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_479,c_81]) ).
cnf(c_506,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_479,c_233]) ).
cnf(c_509,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_506,c_479]) ).
cnf(c_706,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_228]) ).
cnf(c_988,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_503,c_509]) ).
cnf(c_989,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_219,c_988]) ).
cnf(c_990,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_120,c_988]) ).
cnf(c_995,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_988,c_228]) ).
cnf(c_1006,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_995,c_59]) ).
cnf(c_1020,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_706,c_1006]) ).
cnf(c_1023,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_990,c_50]) ).
cnf(c_1030,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_1020,c_49]) ).
cnf(c_1057,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_1030,c_274]) ).
cnf(c_1062,plain,
join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_274,c_1057]) ).
cnf(c_1310,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_989,c_1023]) ).
cnf(c_1317,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_989,c_1310]) ).
cnf(c_1331,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_1310,c_49]) ).
cnf(c_1386,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_1317,c_988]) ).
cnf(c_1391,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_1317,c_80]) ).
cnf(c_1428,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1386,c_50]) ).
cnf(c_69347,plain,
join(complement(join(X0,X1)),complement(join(complement(X1),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_49,c_1391]) ).
cnf(c_69404,plain,
join(complement(join(X0,X1)),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_1391,c_1428]) ).
cnf(c_69457,plain,
join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_69404,c_50,c_49]) ).
cnf(c_69909,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_1317,c_69457]) ).
cnf(c_70478,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_69909]) ).
cnf(c_71058,plain,
join(X0,join(complement(join(X1,complement(X0))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_70478,c_50]) ).
cnf(c_115799,plain,
join(X0,complement(join(complement(complement(X0)),X1))) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_69347,c_71058]) ).
cnf(c_116159,plain,
join(X0,complement(join(X0,X1))) = join(X0,complement(X1)),
inference(light_normalisation,[status(thm)],[c_115799,c_1317]) ).
cnf(c_122759,plain,
join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(top)),
inference(superposition,[status(thm)],[c_1062,c_116159]) ).
cnf(c_123276,plain,
join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_122759,c_120,c_1331]) ).
cnf(c_124010,plain,
join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_123276,c_201]) ).
cnf(c_124218,plain,
join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_124010,c_55]) ).
cnf(c_124429,plain,
join(complement(join(converse(complement(converse(complement(complement(X0))))),X0)),complement(complement(X0))) = complement(converse(complement(converse(complement(complement(X0)))))),
inference(superposition,[status(thm)],[c_124218,c_69347]) ).
cnf(c_124579,plain,
join(complement(complement(X0)),complement(join(X0,converse(complement(converse(complement(complement(X0)))))))) = complement(converse(complement(converse(complement(complement(X0)))))),
inference(theory_normalisation,[status(thm)],[c_124429,c_50,c_49]) ).
cnf(c_124580,plain,
complement(converse(complement(converse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_124579,c_120,c_1062,c_1317,c_1331]) ).
cnf(c_124594,plain,
complement(converse(complement(X0))) = converse(X0),
inference(superposition,[status(thm)],[c_55,c_124580]) ).
cnf(c_125230,plain,
complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[status(thm)],[c_124594,c_1317]) ).
cnf(c_125385,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_125230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL004+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.18/0.35 % Computer : n026.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 19:21:18 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 31.68/5.23 % SZS status Started for theBenchmark.p
% 31.68/5.23 % SZS status Theorem for theBenchmark.p
% 31.68/5.23
% 31.68/5.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 31.68/5.23
% 31.68/5.23 ------ iProver source info
% 31.68/5.23
% 31.68/5.23 git: date: 2023-05-31 18:12:56 +0000
% 31.68/5.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 31.68/5.23 git: non_committed_changes: false
% 31.68/5.23 git: last_make_outside_of_git: false
% 31.68/5.23
% 31.68/5.23 ------ Parsing...
% 31.68/5.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 31.68/5.23
% 31.68/5.23 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 31.68/5.23
% 31.68/5.23 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.68/5.23
% 31.68/5.23 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 31.68/5.23 ------ Proving...
% 31.68/5.23 ------ Problem Properties
% 31.68/5.23
% 31.68/5.23
% 31.68/5.23 clauses 16
% 31.68/5.23 conjectures 1
% 31.68/5.23 EPR 0
% 31.68/5.23 Horn 16
% 31.68/5.23 unary 16
% 31.68/5.23 binary 0
% 31.68/5.23 lits 16
% 31.68/5.23 lits eq 16
% 31.68/5.23 fd_pure 0
% 31.68/5.23 fd_pseudo 0
% 31.68/5.23 fd_cond 0
% 31.68/5.23 fd_pseudo_cond 0
% 31.68/5.23 AC symbols 1
% 31.68/5.23
% 31.68/5.23 ------ Schedule UEQ
% 31.68/5.23
% 31.68/5.23 ------ Option_UEQ Time Limit: 10.
% 31.68/5.23
% 31.68/5.23
% 31.68/5.23 ------
% 31.68/5.23 Current options:
% 31.68/5.23 ------
% 31.68/5.23
% 31.68/5.23
% 31.68/5.23
% 31.68/5.23
% 31.68/5.23 ------ Proving...
% 31.68/5.23
% 31.68/5.23
% 31.68/5.23 % SZS status Theorem for theBenchmark.p
% 31.68/5.23
% 31.68/5.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.68/5.23
% 31.68/5.24
%------------------------------------------------------------------------------