TSTP Solution File: SWV379+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV379+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Tue May 21 06:18:25 EDT 2024
% Result : Theorem 2.08s 0.66s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 93 ( 17 unt; 0 def)
% Number of atoms : 229 ( 78 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 217 ( 81 ~; 93 |; 18 &)
% ( 9 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 213 ( 207 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4396,plain,
$false,
inference(avatar_sat_refutation,[],[f364,f368,f3501,f4383,f4384,f4392,f4395]) ).
fof(f4395,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f4394]) ).
fof(f4394,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f4393,f109]) ).
fof(f109,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f4393,plain,
( ok(triple(sK0,create_slb,bad))
| ~ spl3_3 ),
inference(forward_demodulation,[],[f4387,f104]) ).
fof(f104,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f4387,plain,
( ok(findmin_cpq_eff(triple(sK0,create_slb,bad)))
| ~ spl3_3 ),
inference(superposition,[],[f149,f3497]) ).
fof(f3497,plain,
( create_slb = sK1
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f3495]) ).
fof(f3495,plain,
( spl3_3
<=> create_slb = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f149,plain,
ok(findmin_cpq_eff(triple(sK0,sK1,bad))),
inference(superposition,[],[f92,f147]) ).
fof(f147,plain,
bad = sK2,
inference(resolution,[],[f115,f91]) ).
fof(f91,plain,
~ ok(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ~ ok(triple(sK0,sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f53,f83]) ).
fof(f83,plain,
( ? [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ ok(triple(X0,X1,X2)) )
=> ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
& ~ ok(triple(sK0,sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ok(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l15_co) ).
fof(f115,plain,
! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f92,plain,
ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f84]) ).
fof(f4392,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f4391]) ).
fof(f4391,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f4390,f109]) ).
fof(f4390,plain,
( ok(triple(sK0,create_slb,bad))
| ~ spl3_3 ),
inference(forward_demodulation,[],[f4386,f104]) ).
fof(f4386,plain,
( ok(findmin_cpq_eff(triple(sK0,create_slb,sK2)))
| ~ spl3_3 ),
inference(superposition,[],[f92,f3497]) ).
fof(f4384,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f4377]) ).
fof(f4377,plain,
( $false
| spl3_3 ),
inference(resolution,[],[f4299,f92]) ).
fof(f4299,plain,
( ! [X0] : ~ ok(findmin_cpq_eff(triple(sK0,sK1,X0)))
| spl3_3 ),
inference(superposition,[],[f109,f4288]) ).
fof(f4288,plain,
( ! [X0] : triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) = findmin_cpq_eff(triple(sK0,sK1,X0))
| spl3_3 ),
inference(subsumption_resolution,[],[f4281,f3496]) ).
fof(f3496,plain,
( create_slb != sK1
| spl3_3 ),
inference(avatar_component_clause,[],[f3495]) ).
fof(f4281,plain,
! [X0] :
( triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) = findmin_cpq_eff(triple(sK0,sK1,X0))
| create_slb = sK1 ),
inference(resolution,[],[f4061,f149]) ).
fof(f4061,plain,
! [X2,X0,X1] :
( ~ ok(findmin_cpq_eff(triple(X0,X1,bad)))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1 ),
inference(superposition,[],[f109,f1096]) ).
fof(f1096,plain,
! [X2,X3,X0,X1] :
( findmin_cpq_eff(triple(X1,X0,X3)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3)
| findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)
| create_slb = X0 ),
inference(subsumption_resolution,[],[f1095,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( contains_slb(X1,findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f1095,plain,
! [X2,X3,X0,X1] :
( create_slb = X0
| findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)
| findmin_cpq_eff(triple(X1,X0,X3)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3)
| ~ contains_slb(X0,findmin_pqp_res(X1)) ),
inference(duplicate_literal_removal,[],[f1081]) ).
fof(f1081,plain,
! [X2,X3,X0,X1] :
( create_slb = X0
| findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad)
| findmin_cpq_eff(triple(X1,X0,X3)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X3)
| ~ contains_slb(X0,findmin_pqp_res(X1))
| create_slb = X0 ),
inference(resolution,[],[f674,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f674,plain,
! [X2,X0,X1] :
( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| create_slb = X1
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(resolution,[],[f645,f151]) ).
fof(f151,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(subsumption_resolution,[],[f108,f105]) ).
fof(f105,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f108,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f645,plain,
! [X2,X0,X1] :
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1 ),
inference(subsumption_resolution,[],[f125,f124]) ).
fof(f125,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f4383,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f4378]) ).
fof(f4378,plain,
( $false
| spl3_3 ),
inference(resolution,[],[f4299,f149]) ).
fof(f3501,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f3484,f3499,f3495]) ).
fof(f3499,plain,
( spl3_4
<=> ! [X0,X1] :
( lookup_slb(sK1,findmin_pqp_res(sK0)) = lookup_slb(insert_slb(sK1,pair(X0,X1)),findmin_pqp_res(sK0))
| findmin_pqp_res(sK0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f3484,plain,
! [X0,X1] :
( lookup_slb(sK1,findmin_pqp_res(sK0)) = lookup_slb(insert_slb(sK1,pair(X0,X1)),findmin_pqp_res(sK0))
| create_slb = sK1
| findmin_pqp_res(sK0) = X0 ),
inference(resolution,[],[f1518,f92]) ).
fof(f1518,plain,
! [X2,X3,X0,X1,X4] :
( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
| lookup_slb(X1,findmin_pqp_res(X0)) = lookup_slb(insert_slb(X1,pair(X3,X4)),findmin_pqp_res(X0))
| create_slb = X1
| findmin_pqp_res(X0) = X3 ),
inference(superposition,[],[f109,f469]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| lookup_slb(X1,findmin_pqp_res(X0)) = lookup_slb(insert_slb(X1,pair(X3,X4)),findmin_pqp_res(X0))
| create_slb = X1
| findmin_pqp_res(X0) = X3 ),
inference(resolution,[],[f124,f122]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(X0,X2)
| lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f368,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f363,f102]) ).
fof(f102,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f363,plain,
( ! [X2,X0,X1] : ~ check_cpq(triple(X0,X1,X2))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl3_2
<=> ! [X2,X0,X1] : ~ check_cpq(triple(X0,X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f364,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f354,f362,f359]) ).
fof(f359,plain,
( spl3_1
<=> ! [X4,X3] :
( ~ less_than(X3,X4)
| ~ strictly_less_than(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X3,X4)
| ~ strictly_less_than(X4,X3) ),
inference(resolution,[],[f136,f134]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(true_and_false_elimination,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] :
( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2)) )
& ( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ) )
| ~ less_than(X4,X3) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4] :
( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) )
| ~ less_than(X4,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4] :
( less_than(X4,X3)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV379+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 07:16:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (10735)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (10738)WARNING: value z3 for option sas not known
% 0.14/0.38 % (10736)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (10737)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (10738)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (10739)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (10740)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (10741)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (10742)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.44 TRYING [4]
% 0.21/0.45 TRYING [3]
% 0.21/0.55 TRYING [5]
% 0.21/0.56 TRYING [4]
% 2.08/0.66 % (10738)First to succeed.
% 2.08/0.66 % (10738)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10735"
% 2.08/0.66 % (10738)Refutation found. Thanks to Tanya!
% 2.08/0.66 % SZS status Theorem for theBenchmark
% 2.08/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.66 % (10738)------------------------------
% 2.08/0.66 % (10738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.08/0.66 % (10738)Termination reason: Refutation
% 2.08/0.66
% 2.08/0.66 % (10738)Memory used [KB]: 4053
% 2.08/0.66 % (10738)Time elapsed: 0.277 s
% 2.08/0.66 % (10738)Instructions burned: 882 (million)
% 2.08/0.66 % (10735)Success in time 0.307 s
%------------------------------------------------------------------------------