TSTP Solution File: REL024+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL024+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 : Fri May 3 02:56:42 EDT 2024
% Result : Theorem 155.59s 21.37s
% Output : CNFRefutation 155.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 95 unt; 0 def)
% Number of atoms : 97 ( 96 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 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 : 165 ( 4 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(demodulation,[status(thm)],[c_60,c_59]) ).
cnf(c_203,plain,
join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_74,c_74]) ).
cnf(c_209,plain,
join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_203,c_50,c_49]) ).
cnf(c_16654,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_16658,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_16669,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_74]) ).
cnf(c_16675,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_16669,c_50,c_49]) ).
cnf(c_16676,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_16675,c_105]) ).
cnf(c_16682,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_16686,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_16691,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_16768,plain,
composition(converse(X0),join(X1,converse(X2))) = converse(composition(join(converse(X1),X2),X0)),
inference(superposition,[status(thm)],[c_16658,c_57]) ).
cnf(c_16796,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))))))) = X0,
inference(superposition,[status(thm)],[c_209,c_74]) ).
cnf(c_16819,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[status(thm)],[c_54,c_49]) ).
cnf(c_17335,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_16691]) ).
cnf(c_17354,plain,
join(composition(converse(X0),X1),converse(X2)) = converse(join(composition(converse(X1),X0),X2)),
inference(superposition,[status(thm)],[c_16691,c_56]) ).
cnf(c_17362,plain,
join(complement(X0),composition(composition(converse(X1),X2),complement(composition(composition(converse(X2),X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_16691,c_75]) ).
cnf(c_17368,plain,
composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_17335,c_55]) ).
cnf(c_17370,plain,
join(complement(X0),composition(converse(X1),composition(X2,complement(composition(converse(X2),composition(X1,X0)))))) = complement(X0),
inference(demodulation,[status(thm)],[c_17362,c_52]) ).
cnf(c_17376,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_17368,c_53]) ).
cnf(c_17383,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_17368,c_16682]) ).
cnf(c_17385,plain,
composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_17383,c_17368]) ).
cnf(c_17405,plain,
join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_17376,c_75]) ).
cnf(c_17413,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_17405,c_17385]) ).
cnf(c_17417,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_16676,c_17413]) ).
cnf(c_17444,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_17413,c_16686]) ).
cnf(c_17447,plain,
join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_17444,c_59]) ).
cnf(c_17603,plain,
join(complement(X0),complement(join(complement(X0),join(complement(composition(converse(X1),composition(X2,complement(composition(converse(X2),composition(X1,X0)))))),complement(complement(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_17370,c_209]) ).
cnf(c_17618,plain,
join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X1),composition(X2,complement(composition(converse(X2),composition(X1,X0)))))))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_17603,c_50,c_49]) ).
cnf(c_17619,plain,
join(complement(X0),zero) = complement(X0),
inference(demodulation,[status(thm)],[c_17618,c_105,c_16686,c_17447]) ).
cnf(c_17693,plain,
join(zero,complement(X0)) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_17619,c_50,c_49]) ).
cnf(c_17695,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_17417,c_17693]) ).
cnf(c_17983,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_17695,c_17413]) ).
cnf(c_18033,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_17983,c_50]) ).
cnf(c_18040,plain,
join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_17983,c_16654]) ).
cnf(c_33990,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))) = X0,
inference(demodulation,[status(thm)],[c_16796,c_17695,c_18033]) ).
cnf(c_34103,plain,
join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[status(thm)],[c_33990,c_18033]) ).
cnf(c_34134,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_34103,c_50,c_49]) ).
cnf(c_34287,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_18040,c_34134]) ).
cnf(c_35921,plain,
join(composition(X0,converse(X1)),converse(composition(X1,X2))) = composition(join(converse(X2),X0),converse(X1)),
inference(superposition,[status(thm)],[c_57,c_16819]) ).
cnf(c_36665,plain,
join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))) = converse(composition(join(converse(X2),converse(X1)),converse(X0))),
inference(superposition,[status(thm)],[c_35921,c_17354]) ).
cnf(c_36683,plain,
join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(X2,X1)),
inference(demodulation,[status(thm)],[c_36665,c_55,c_16768]) ).
cnf(c_36713,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),join(complement(join(complement(sK1),complement(sK2))),sK2)) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
inference(demodulation,[status(thm)],[c_76,c_36683]) ).
cnf(c_36714,plain,
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(theory_normalisation,[status(thm)],[c_36713,c_50,c_49]) ).
cnf(c_36715,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
inference(demodulation,[status(thm)],[c_36714,c_34287]) ).
cnf(c_36716,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_36715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL024+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 19:52:04 EDT 2024
% 0.13/0.35 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 155.59/21.37 % SZS status Started for theBenchmark.p
% 155.59/21.37 % SZS status Theorem for theBenchmark.p
% 155.59/21.37
% 155.59/21.37 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 155.59/21.37
% 155.59/21.37 ------ iProver source info
% 155.59/21.37
% 155.59/21.37 git: date: 2024-05-02 19:28:25 +0000
% 155.59/21.37 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 155.59/21.37 git: non_committed_changes: false
% 155.59/21.37
% 155.59/21.37 ------ Parsing...
% 155.59/21.37 ------ Clausification by vclausify_rel & Parsing by iProver...
% 155.59/21.37
% 155.59/21.37 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 155.59/21.37
% 155.59/21.37 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 155.59/21.37
% 155.59/21.37 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 155.59/21.37 ------ Proving...
% 155.59/21.37 ------ Problem Properties
% 155.59/21.37
% 155.59/21.37
% 155.59/21.37 clauses 13
% 155.59/21.37 conjectures 1
% 155.59/21.37 EPR 0
% 155.59/21.37 Horn 13
% 155.59/21.37 unary 13
% 155.59/21.37 binary 0
% 155.59/21.37 lits 13
% 155.59/21.37 lits eq 13
% 155.59/21.37 fd_pure 0
% 155.59/21.37 fd_pseudo 0
% 155.59/21.37 fd_cond 0
% 155.59/21.37 fd_pseudo_cond 0
% 155.59/21.37 AC symbols 1
% 155.59/21.37
% 155.59/21.37 ------ Input Options Time Limit: Unbounded
% 155.59/21.37
% 155.59/21.37
% 155.59/21.37 ------
% 155.59/21.37 Current options:
% 155.59/21.37 ------
% 155.59/21.37
% 155.59/21.37
% 155.59/21.37
% 155.59/21.37
% 155.59/21.37 ------ Proving...
% 155.59/21.37
% 155.59/21.37
% 155.59/21.37 % SZS status Theorem for theBenchmark.p
% 155.59/21.37
% 155.59/21.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 155.59/21.37
% 155.59/21.38
%------------------------------------------------------------------------------