TSTP Solution File: REL024+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL024+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 13:40:51 EDT 2023
% Result : Theorem 9.82s 2.18s
% Output : CNFRefutation 9.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 100 ( 99 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 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 : 168 ( 6 sgn; 57 !; 6 ?)
% 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(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
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(f14,conjecture,
! [X0,X1,X2] : composition(meet(X0,converse(X1)),X2) = join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : composition(meet(X0,converse(X1)),X2) = join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] : composition(meet(X0,converse(X1)),X2) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1,X2] : composition(meet(X0,converse(X1)),X2) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2))
=> composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
fof(f34,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2)),
inference(definition_unfolding,[],[f32,f22,f22,f22,f22]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_54,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f25]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f30]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f33]) ).
cnf(c_61,negated_conjecture,
join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2)) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
inference(cnf_transformation,[],[f34]) ).
cnf(c_74,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_75,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_76,negated_conjecture,
join(composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2))))) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
cnf(c_105,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
cnf(c_180,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_182,plain,
join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_191,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_197,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_191,c_50,c_49]) ).
cnf(c_198,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_197,c_105]) ).
cnf(c_203,plain,
converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_204,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_207,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_212,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_219,plain,
join(converse(composition(X0,X1)),composition(X2,converse(X0))) = composition(join(converse(X1),X2),converse(X0)),
inference(superposition,[status(thm)],[c_57,c_54]) ).
cnf(c_257,plain,
composition(join(X0,converse(X1)),converse(X2)) = converse(composition(X2,join(converse(X0),X1))),
inference(superposition,[status(thm)],[c_180,c_57]) ).
cnf(c_328,plain,
composition(X0,converse(converse(X1))) = converse(converse(composition(X0,X1))),
inference(superposition,[status(thm)],[c_57,c_203]) ).
cnf(c_345,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_204]) ).
cnf(c_363,plain,
join(converse(X0),composition(converse(X1),X2)) = converse(join(X0,composition(converse(X2),X1))),
inference(superposition,[status(thm)],[c_204,c_56]) ).
cnf(c_364,plain,
composition(converse(converse(X0)),X1) = composition(X0,converse(converse(X1))),
inference(superposition,[status(thm)],[c_204,c_203]) ).
cnf(c_365,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_345,c_55]) ).
cnf(c_366,plain,
composition(X0,converse(converse(X1))) = composition(X0,X1),
inference(light_normalisation,[status(thm)],[c_364,c_55]) ).
cnf(c_381,plain,
join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_365,c_75]) ).
cnf(c_384,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_365,c_212]) ).
cnf(c_387,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_384,c_365]) ).
cnf(c_492,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_207]) ).
cnf(c_875,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_381,c_387]) ).
cnf(c_876,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_198,c_875]) ).
cnf(c_877,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_105,c_875]) ).
cnf(c_883,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_875,c_207]) ).
cnf(c_886,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_883,c_59]) ).
cnf(c_892,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_492,c_886]) ).
cnf(c_900,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_877,c_50]) ).
cnf(c_913,plain,
join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_892,c_74]) ).
cnf(c_919,plain,
join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_913,c_105]) ).
cnf(c_920,plain,
join(zero,complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_919,c_50,c_49]) ).
cnf(c_1023,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_920,c_900]) ).
cnf(c_1176,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_876,c_1023]) ).
cnf(c_1180,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_1176,c_875]) ).
cnf(c_1182,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_1176,c_74]) ).
cnf(c_1198,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_1180,c_50]) ).
cnf(c_10241,plain,
composition(join(converse(X0),converse(X1)),converse(X2)) = converse(composition(X2,join(X0,X1))),
inference(superposition,[status(thm)],[c_55,c_257]) ).
cnf(c_10310,plain,
composition(converse(join(X0,X1)),converse(X2)) = converse(composition(X2,join(X1,X0))),
inference(light_normalisation,[status(thm)],[c_10241,c_182]) ).
cnf(c_27076,plain,
join(complement(join(X0,X1)),complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_1182,c_1198]) ).
cnf(c_27107,plain,
join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_27076,c_50,c_49]) ).
cnf(c_27250,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_1176,c_27107]) ).
cnf(c_27512,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_49,c_27250]) ).
cnf(c_43343,plain,
join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)) = converse(composition(join(converse(X1),converse(X2)),converse(X0))),
inference(superposition,[status(thm)],[c_219,c_363]) ).
cnf(c_43569,plain,
converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(composition(X2,X0),composition(X2,X1)),
inference(light_normalisation,[status(thm)],[c_43343,c_55,c_328,c_366]) ).
cnf(c_43570,plain,
converse(composition(converse(join(X0,X1)),converse(X2))) = join(composition(X2,X1),composition(X2,X0)),
inference(light_normalisation,[status(thm)],[c_43569,c_182]) ).
cnf(c_43571,plain,
join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(light_normalisation,[status(thm)],[c_43570,c_10310]) ).
cnf(c_43587,plain,
converse(converse(composition(complement(join(complement(sK0),complement(converse(sK1)))),join(sK2,complement(join(complement(sK1),complement(sK2))))))) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
inference(demodulation,[status(thm)],[c_76,c_43571]) ).
cnf(c_45334,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
inference(demodulation,[status(thm)],[c_43587,c_328,c_366,c_27512]) ).
cnf(c_45335,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_45334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL024+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n021.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 20:59:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.82/2.18 % SZS status Started for theBenchmark.p
% 9.82/2.18 % SZS status Theorem for theBenchmark.p
% 9.82/2.18
% 9.82/2.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.82/2.18
% 9.82/2.18 ------ iProver source info
% 9.82/2.18
% 9.82/2.18 git: date: 2023-05-31 18:12:56 +0000
% 9.82/2.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.82/2.18 git: non_committed_changes: false
% 9.82/2.18 git: last_make_outside_of_git: false
% 9.82/2.18
% 9.82/2.18 ------ Parsing...
% 9.82/2.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.82/2.18
% 9.82/2.18 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.82/2.18
% 9.82/2.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.82/2.18
% 9.82/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.82/2.18 ------ Proving...
% 9.82/2.18 ------ Problem Properties
% 9.82/2.18
% 9.82/2.18
% 9.82/2.18 clauses 13
% 9.82/2.18 conjectures 1
% 9.82/2.18 EPR 0
% 9.82/2.18 Horn 13
% 9.82/2.18 unary 13
% 9.82/2.18 binary 0
% 9.82/2.18 lits 13
% 9.82/2.18 lits eq 13
% 9.82/2.18 fd_pure 0
% 9.82/2.18 fd_pseudo 0
% 9.82/2.18 fd_cond 0
% 9.82/2.18 fd_pseudo_cond 0
% 9.82/2.18 AC symbols 1
% 9.82/2.18
% 9.82/2.18 ------ Schedule UEQ
% 9.82/2.18
% 9.82/2.18 ------ Option_UEQ Time Limit: 10.
% 9.82/2.18
% 9.82/2.18
% 9.82/2.18 ------
% 9.82/2.18 Current options:
% 9.82/2.18 ------
% 9.82/2.18
% 9.82/2.18
% 9.82/2.18
% 9.82/2.18
% 9.82/2.18 ------ Proving...
% 9.82/2.18
% 9.82/2.18
% 9.82/2.18 % SZS status Theorem for theBenchmark.p
% 9.82/2.18
% 9.82/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.82/2.18
% 9.82/2.18
%------------------------------------------------------------------------------