TSTP Solution File: REL012+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL012+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 13:40:43 EDT 2023
% Result : Theorem 283.90s 37.88s
% Output : CNFRefutation 283.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 14
% Syntax : Number of formulae : 104 ( 103 unt; 0 def)
% Number of atoms : 105 ( 104 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 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 : 155 ( 7 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(f17,conjecture,
! [X0,X1] : complement(X0) = join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : complement(X0) = join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0))
=> complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[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,
complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(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,
join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)) != 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_84,negated_conjecture,
join(complement(sK0),composition(complement(composition(sK0,sK1)),converse(sK1))) != complement(sK0),
inference(theory_normalisation,[status(thm)],[c_64,c_50,c_49]) ).
cnf(c_121,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_60,c_59]) ).
cnf(c_198,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_210,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_211,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_240,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_80]) ).
cnf(c_246,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_240,c_50,c_49]) ).
cnf(c_247,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_246,c_121]) ).
cnf(c_254,plain,
converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_255,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_264,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_265,plain,
join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_80,c_50]) ).
cnf(c_273,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_334,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_210]) ).
cnf(c_444,plain,
join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_334,c_80]) ).
cnf(c_497,plain,
converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c_49,c_211]) ).
cnf(c_536,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_57,c_81]) ).
cnf(c_540,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(demodulation,[status(thm)],[c_536,c_55]) ).
cnf(c_1450,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_255]) ).
cnf(c_1476,plain,
composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_1450,c_55]) ).
cnf(c_1578,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_1476,c_53]) ).
cnf(c_1590,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1476,c_273]) ).
cnf(c_1591,plain,
composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_1590,c_1476]) ).
cnf(c_1689,plain,
join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_1578,c_81]) ).
cnf(c_1696,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_1689,c_1591]) ).
cnf(c_1701,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_247,c_1696]) ).
cnf(c_2105,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_264]) ).
cnf(c_2491,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_121,c_1696]) ).
cnf(c_2497,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_1696,c_264]) ).
cnf(c_2507,plain,
join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_2497,c_59]) ).
cnf(c_2522,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_2105,c_2507]) ).
cnf(c_2615,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2491,c_50]) ).
cnf(c_2701,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_2522,c_49]) ).
cnf(c_2729,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_2701,c_334]) ).
cnf(c_5284,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1701,c_2615]) ).
cnf(c_5293,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_1701,c_5284]) ).
cnf(c_5604,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_5293,c_1696]) ).
cnf(c_5608,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
inference(superposition,[status(thm)],[c_5293,c_80]) ).
cnf(c_5816,plain,
join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_5604,c_198]) ).
cnf(c_11371,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[status(thm)],[c_265,c_5816]) ).
cnf(c_11410,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_11371,c_50,c_49]) ).
cnf(c_11411,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(demodulation,[status(thm)],[c_11410,c_5293,c_5608]) ).
cnf(c_12510,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_5816,c_11411]) ).
cnf(c_12771,plain,
join(X0,converse(complement(join(X1,complement(converse(X0)))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_12510,c_210]) ).
cnf(c_12800,plain,
join(X0,converse(complement(join(X1,complement(converse(X0)))))) = X0,
inference(demodulation,[status(thm)],[c_12771,c_55]) ).
cnf(c_50126,plain,
join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(light_normalisation,[status(thm)],[c_444,c_121,c_2729]) ).
cnf(c_50127,plain,
complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
inference(demodulation,[status(thm)],[c_50126,c_5284]) ).
cnf(c_50133,plain,
complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_5293,c_50127]) ).
cnf(c_50219,plain,
join(complement(converse(complement(X0))),converse(X0)) = complement(converse(complement(X0))),
inference(superposition,[status(thm)],[c_50127,c_12800]) ).
cnf(c_50222,plain,
join(converse(X0),complement(converse(complement(X0)))) = complement(converse(complement(X0))),
inference(theory_normalisation,[status(thm)],[c_50219,c_50,c_49]) ).
cnf(c_88524,plain,
complement(join(converse(X0),complement(converse(complement(X0))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_55,c_50133]) ).
cnf(c_88653,plain,
complement(converse(X0)) = converse(complement(X0)),
inference(demodulation,[status(thm)],[c_88524,c_5293,c_50222]) ).
cnf(c_90535,plain,
converse(join(complement(converse(X0)),X1)) = join(converse(X1),complement(X0)),
inference(superposition,[status(thm)],[c_88653,c_497]) ).
cnf(c_90551,plain,
converse(composition(X0,complement(converse(X1)))) = composition(complement(X1),converse(X0)),
inference(superposition,[status(thm)],[c_88653,c_254]) ).
cnf(c_316839,plain,
join(converse(composition(X0,complement(converse(composition(X1,X0))))),complement(X1)) = converse(complement(converse(X1))),
inference(superposition,[status(thm)],[c_540,c_90535]) ).
cnf(c_317323,plain,
join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) = converse(complement(converse(X0))),
inference(theory_normalisation,[status(thm)],[c_316839,c_50,c_49]) ).
cnf(c_317324,plain,
join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) = complement(X0),
inference(demodulation,[status(thm)],[c_317323,c_55,c_88653,c_90551]) ).
cnf(c_317542,plain,
complement(sK0) != complement(sK0),
inference(demodulation,[status(thm)],[c_84,c_317324]) ).
cnf(c_317543,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_317542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL012+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n024.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 19:29:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 283.90/37.88 % SZS status Started for theBenchmark.p
% 283.90/37.88 % SZS status Theorem for theBenchmark.p
% 283.90/37.88
% 283.90/37.88 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 283.90/37.88
% 283.90/37.88 ------ iProver source info
% 283.90/37.88
% 283.90/37.88 git: date: 2023-05-31 18:12:56 +0000
% 283.90/37.88 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 283.90/37.88 git: non_committed_changes: false
% 283.90/37.88 git: last_make_outside_of_git: false
% 283.90/37.88
% 283.90/37.88 ------ Parsing...
% 283.90/37.88 ------ Clausification by vclausify_rel & Parsing by iProver...
% 283.90/37.88
% 283.90/37.88 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 283.90/37.88
% 283.90/37.88 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 283.90/37.88
% 283.90/37.88 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 283.90/37.88 ------ Proving...
% 283.90/37.88 ------ Problem Properties
% 283.90/37.88
% 283.90/37.88
% 283.90/37.88 clauses 16
% 283.90/37.88 conjectures 1
% 283.90/37.88 EPR 0
% 283.90/37.88 Horn 16
% 283.90/37.88 unary 16
% 283.90/37.88 binary 0
% 283.90/37.88 lits 16
% 283.90/37.88 lits eq 16
% 283.90/37.88 fd_pure 0
% 283.90/37.88 fd_pseudo 0
% 283.90/37.88 fd_cond 0
% 283.90/37.88 fd_pseudo_cond 0
% 283.90/37.88 AC symbols 1
% 283.90/37.88
% 283.90/37.88 ------ Input Options Time Limit: Unbounded
% 283.90/37.88
% 283.90/37.88
% 283.90/37.88 ------
% 283.90/37.88 Current options:
% 283.90/37.88 ------
% 283.90/37.88
% 283.90/37.88
% 283.90/37.88
% 283.90/37.88
% 283.90/37.88 ------ Proving...
% 283.90/37.88
% 283.90/37.88
% 283.90/37.88 % SZS status Theorem for theBenchmark.p
% 283.90/37.88
% 283.90/37.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 283.90/37.88
% 283.90/37.88
%------------------------------------------------------------------------------