TSTP Solution File: REL005+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL005+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 13:40:35 EDT 2023
% Result : Theorem 13.97s 2.67s
% Output : CNFRefutation 13.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 102 ( 101 unt; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 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 : 136 ( 4 sgn; 49 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0,X1] : converse(meet(X0,X1)) != meet(converse(X0),converse(X1)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0,X1] : converse(meet(X0,X1)) != meet(converse(X0),converse(X1))
=> converse(meet(sK0,sK1)) != meet(converse(sK0),converse(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
converse(meet(sK0,sK1)) != meet(converse(sK0),converse(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[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(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,
converse(meet(sK0,sK1)) != meet(converse(sK0),converse(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
fof(f34,plain,
converse(complement(join(complement(sK0),complement(sK1)))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))),
inference(definition_unfolding,[],[f32,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_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,
complement(join(complement(converse(sK0)),complement(converse(sK1)))) != converse(complement(join(complement(sK0),complement(sK1)))),
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_104,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
cnf(c_175,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_176,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_104,c_59]) ).
cnf(c_179,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_180,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_190,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_196,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_190,c_50,c_49]) ).
cnf(c_197,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_196,c_104]) ).
cnf(c_203,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_206,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_208,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_176,c_50]) ).
cnf(c_211,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_227,plain,
join(top,join(X0,zero)) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_208]) ).
cnf(c_252,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_179]) ).
cnf(c_270,plain,
join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_252,c_74]) ).
cnf(c_282,plain,
converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c_49,c_180]) ).
cnf(c_344,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_203]) ).
cnf(c_364,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_344,c_55]) ).
cnf(c_380,plain,
join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_364,c_75]) ).
cnf(c_383,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_364,c_211]) ).
cnf(c_386,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_383,c_364]) ).
cnf(c_491,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_206]) ).
cnf(c_531,plain,
join(top,join(X0,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_176,c_175]) ).
cnf(c_871,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_380,c_386]) ).
cnf(c_872,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_197,c_871]) ).
cnf(c_873,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_104,c_871]) ).
cnf(c_879,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_871,c_206]) ).
cnf(c_882,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_879,c_59]) ).
cnf(c_888,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_491,c_882]) ).
cnf(c_891,plain,
join(top,join(X0,zero)) = top,
inference(demodulation,[status(thm)],[c_531,c_888]) ).
cnf(c_892,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_227,c_891]) ).
cnf(c_896,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_873,c_50]) ).
cnf(c_909,plain,
join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[status(thm)],[c_888,c_74]) ).
cnf(c_915,plain,
join(zero,complement(join(complement(X0),zero))) = X0,
inference(light_normalisation,[status(thm)],[c_909,c_104]) ).
cnf(c_916,plain,
join(zero,complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_915,c_50,c_49]) ).
cnf(c_934,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_892,c_252]) ).
cnf(c_1017,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_916,c_896]) ).
cnf(c_1173,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_872,c_1017]) ).
cnf(c_12863,plain,
join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(light_normalisation,[status(thm)],[c_270,c_104,c_934]) ).
cnf(c_12864,plain,
complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
inference(demodulation,[status(thm)],[c_12863,c_1017]) ).
cnf(c_12870,plain,
complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_1173,c_12864]) ).
cnf(c_14080,plain,
join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_12870,c_1173]) ).
cnf(c_14093,plain,
join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_14080,c_1173]) ).
cnf(c_14219,plain,
join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_14093,c_179]) ).
cnf(c_14269,plain,
join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_14219,c_55]) ).
cnf(c_14295,plain,
join(complement(X0),converse(complement(converse(X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1173,c_14269]) ).
cnf(c_14896,plain,
join(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_55,c_14295]) ).
cnf(c_15641,plain,
join(converse(complement(converse(X0))),complement(X0)) = converse(complement(converse(X0))),
inference(superposition,[status(thm)],[c_14896,c_180]) ).
cnf(c_15657,plain,
join(complement(X0),converse(complement(converse(X0)))) = converse(complement(converse(X0))),
inference(theory_normalisation,[status(thm)],[c_15641,c_50,c_49]) ).
cnf(c_15658,plain,
converse(complement(converse(X0))) = complement(X0),
inference(light_normalisation,[status(thm)],[c_15657,c_14295]) ).
cnf(c_16228,plain,
join(converse(X0),complement(converse(X1))) = converse(join(complement(X1),X0)),
inference(superposition,[status(thm)],[c_15658,c_282]) ).
cnf(c_16233,plain,
complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[status(thm)],[c_15658,c_55]) ).
cnf(c_16270,plain,
complement(join(complement(converse(sK0)),complement(converse(sK1)))) != complement(converse(join(complement(sK0),complement(sK1)))),
inference(demodulation,[status(thm)],[c_61,c_16233]) ).
cnf(c_71246,plain,
join(complement(converse(X0)),complement(converse(X1))) = converse(join(complement(X1),complement(X0))),
inference(superposition,[status(thm)],[c_16233,c_16228]) ).
cnf(c_71431,plain,
complement(converse(join(complement(sK0),complement(sK1)))) != complement(converse(join(complement(sK1),complement(sK0)))),
inference(demodulation,[status(thm)],[c_16270,c_71246]) ).
cnf(c_71432,plain,
$false,
inference(theory_normalisation,[status(thm)],[c_71431,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL005+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 21:19:38 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.97/2.67 % SZS status Started for theBenchmark.p
% 13.97/2.67 % SZS status Theorem for theBenchmark.p
% 13.97/2.67
% 13.97/2.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.97/2.67
% 13.97/2.67 ------ iProver source info
% 13.97/2.67
% 13.97/2.67 git: date: 2023-05-31 18:12:56 +0000
% 13.97/2.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.97/2.67 git: non_committed_changes: false
% 13.97/2.67 git: last_make_outside_of_git: false
% 13.97/2.67
% 13.97/2.67 ------ Parsing...
% 13.97/2.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 13.97/2.67
% 13.97/2.67 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 13.97/2.67
% 13.97/2.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.97/2.67
% 13.97/2.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 13.97/2.67 ------ Proving...
% 13.97/2.67 ------ Problem Properties
% 13.97/2.67
% 13.97/2.67
% 13.97/2.67 clauses 13
% 13.97/2.67 conjectures 1
% 13.97/2.67 EPR 0
% 13.97/2.67 Horn 13
% 13.97/2.67 unary 13
% 13.97/2.67 binary 0
% 13.97/2.67 lits 13
% 13.97/2.67 lits eq 13
% 13.97/2.67 fd_pure 0
% 13.97/2.67 fd_pseudo 0
% 13.97/2.67 fd_cond 0
% 13.97/2.67 fd_pseudo_cond 0
% 13.97/2.67 AC symbols 1
% 13.97/2.67
% 13.97/2.67 ------ Schedule UEQ
% 13.97/2.67
% 13.97/2.67 ------ Option_UEQ Time Limit: 10.
% 13.97/2.67
% 13.97/2.67
% 13.97/2.67 ------
% 13.97/2.67 Current options:
% 13.97/2.67 ------
% 13.97/2.67
% 13.97/2.67
% 13.97/2.67
% 13.97/2.67
% 13.97/2.67 ------ Proving...
% 13.97/2.67
% 13.97/2.67
% 13.97/2.67 % SZS status Theorem for theBenchmark.p
% 13.97/2.67
% 13.97/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.97/2.67
% 13.97/2.68
%------------------------------------------------------------------------------