TSTP Solution File: SWC075+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 : Wed May 1 03:59:36 EDT 2024
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 120 ( 15 unt; 0 def)
% Number of atoms : 531 ( 141 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 662 ( 251 ~; 230 |; 140 &)
% ( 12 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 151 ( 94 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f873,plain,
$false,
inference(avatar_sat_refutation,[],[f224,f238,f258,f555,f595,f733,f735,f767,f853]) ).
fof(f853,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f852,plain,
( $false
| ~ spl12_1
| spl12_2
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f851,f223]) ).
fof(f223,plain,
( nil != sK2
| spl12_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl12_2
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f851,plain,
( nil = sK2
| ~ spl12_1
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f831,f830]) ).
fof(f830,plain,
( nil = app(nil,nil)
| ~ spl12_1
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f790,f218]) ).
fof(f218,plain,
( nil = sK3
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl12_1
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f790,plain,
( sK3 = app(sK3,nil)
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f737,f359]) ).
fof(f359,plain,
( nil = sK5
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl12_11
<=> nil = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f737,plain,
( sK3 = app(sK3,sK5)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f162,f362]) ).
fof(f362,plain,
( sK3 = sK4
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl12_12
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f162,plain,
sK3 = app(sK4,sK5),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( nil != sK0
| nil != sK1 )
& sK2 = app(sK5,sK4)
& sK3 = app(sK4,sK5)
& ssList(sK5)
& ssList(sK4)
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(sK1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f99,f135,f134,f133,f132,f131,f130]) ).
fof(f130,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = X2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(X0,X6)
| ~ segmentP(X1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != sK0
| nil != X1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = X2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(X1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != sK0
| nil != X1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = X2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(X1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != sK0
| nil != sK1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = X2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(sK1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X2] :
( ? [X3] :
( ( nil != sK0
| nil != sK1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = X2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(sK1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK0
| nil != sK1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = sK2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(sK1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X3] :
( ( nil != sK0
| nil != sK1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = sK2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(sK1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( nil != sK0
| nil != sK1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = sK2
& app(X4,X5) = sK3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(sK1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X4] :
( ? [X5] :
( app(X5,X4) = sK2
& app(X4,X5) = sK3
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK2 = app(X5,sK4)
& sK3 = app(sK4,X5)
& ssList(X5) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X5] :
( sK2 = app(X5,sK4)
& sK3 = app(sK4,X5)
& ssList(X5) )
=> ( sK2 = app(sK5,sK4)
& sK3 = app(sK4,sK5)
& ssList(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ? [X4] :
( ? [X5] :
( app(X5,X4) = X2
& app(X4,X5) = X3
& ssList(X5) )
& ssList(X4) )
& ! [X6] :
( ~ segmentP(X0,X6)
| ~ segmentP(X1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X0
& nil = X1 )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( app(X5,X4) != X2
| app(X4,X5) != X3
| ~ ssList(X5) ) )
| ? [X6] :
( segmentP(X0,X6)
& segmentP(X1,X6)
& neq(X6,nil)
& ssList(X6) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X0
& nil = X1 )
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( app(X6,X5) != X2
| app(X5,X6) != X3
| ~ ssList(X6) ) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X0
& nil = X1 )
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( app(X6,X5) != X2
| app(X5,X6) != X3
| ~ ssList(X6) ) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',co1) ).
fof(f831,plain,
( sK2 = app(nil,nil)
| ~ spl12_1
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f791,f218]) ).
fof(f791,plain,
( sK2 = app(nil,sK3)
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f738,f359]) ).
fof(f738,plain,
( sK2 = app(sK5,sK3)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f163,f362]) ).
fof(f163,plain,
sK2 = app(sK5,sK4),
inference(cnf_transformation,[],[f136]) ).
fof(f767,plain,
( spl12_4
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f745,f361,f235]) ).
fof(f235,plain,
( spl12_4
<=> segmentP(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f745,plain,
( segmentP(sK2,sK3)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f484,f362]) ).
fof(f484,plain,
segmentP(sK2,sK4),
inference(subsumption_resolution,[],[f483,f180]) ).
fof(f180,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',ax17) ).
fof(f483,plain,
( ~ ssList(nil)
| segmentP(sK2,sK4) ),
inference(subsumption_resolution,[],[f480,f155]) ).
fof(f155,plain,
ssList(sK2),
inference(cnf_transformation,[],[f136]) ).
fof(f480,plain,
( ~ ssList(sK2)
| ~ ssList(nil)
| segmentP(sK2,sK4) ),
inference(duplicate_literal_removal,[],[f479]) ).
fof(f479,plain,
( ~ ssList(sK2)
| ~ ssList(nil)
| segmentP(sK2,sK4)
| ~ ssList(sK2) ),
inference(superposition,[],[f468,f165]) ).
fof(f165,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',ax84) ).
fof(f468,plain,
! [X0] :
( ~ ssList(app(sK2,X0))
| ~ ssList(X0)
| segmentP(app(sK2,X0),sK4) ),
inference(subsumption_resolution,[],[f467,f160]) ).
fof(f160,plain,
ssList(sK4),
inference(cnf_transformation,[],[f136]) ).
fof(f467,plain,
! [X0] :
( ~ ssList(app(sK2,X0))
| ~ ssList(X0)
| ~ ssList(sK4)
| segmentP(app(sK2,X0),sK4) ),
inference(subsumption_resolution,[],[f457,f161]) ).
fof(f161,plain,
ssList(sK5),
inference(cnf_transformation,[],[f136]) ).
fof(f457,plain,
! [X0] :
( ~ ssList(app(sK2,X0))
| ~ ssList(X0)
| ~ ssList(sK5)
| ~ ssList(sK4)
| segmentP(app(sK2,X0),sK4) ),
inference(superposition,[],[f212,f163]) ).
fof(f212,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f191]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK6(X0,X1),X1),sK7(X0,X1)) = X0
& ssList(sK7(X0,X1))
& ssList(sK6(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f143,f145,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK6(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK6(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK6(X0,X1),X1),sK7(X0,X1)) = X0
& ssList(sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',ax7) ).
fof(f735,plain,
( ~ spl12_16
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f734,f496,f492]) ).
fof(f492,plain,
( spl12_16
<=> neq(sK5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f496,plain,
( spl12_17
<=> segmentP(sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f734,plain,
( ~ segmentP(sK2,sK5)
| ~ neq(sK5,nil) ),
inference(subsumption_resolution,[],[f642,f161]) ).
fof(f642,plain,
( ~ segmentP(sK2,sK5)
| ~ neq(sK5,nil)
| ~ ssList(sK5) ),
inference(resolution,[],[f477,f204]) ).
fof(f204,plain,
! [X6] :
( ~ segmentP(sK3,X6)
| ~ segmentP(sK2,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f159,f158,f157]) ).
fof(f157,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f136]) ).
fof(f158,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f136]) ).
fof(f159,plain,
! [X6] :
( ~ segmentP(sK0,X6)
| ~ segmentP(sK1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) ),
inference(cnf_transformation,[],[f136]) ).
fof(f477,plain,
segmentP(sK3,sK5),
inference(subsumption_resolution,[],[f476,f180]) ).
fof(f476,plain,
( ~ ssList(nil)
| segmentP(sK3,sK5) ),
inference(subsumption_resolution,[],[f473,f156]) ).
fof(f156,plain,
ssList(sK3),
inference(cnf_transformation,[],[f136]) ).
fof(f473,plain,
( ~ ssList(sK3)
| ~ ssList(nil)
| segmentP(sK3,sK5) ),
inference(duplicate_literal_removal,[],[f472]) ).
fof(f472,plain,
( ~ ssList(sK3)
| ~ ssList(nil)
| segmentP(sK3,sK5)
| ~ ssList(sK3) ),
inference(superposition,[],[f466,f165]) ).
fof(f466,plain,
! [X0] :
( ~ ssList(app(sK3,X0))
| ~ ssList(X0)
| segmentP(app(sK3,X0),sK5) ),
inference(subsumption_resolution,[],[f465,f161]) ).
fof(f465,plain,
! [X0] :
( ~ ssList(app(sK3,X0))
| ~ ssList(X0)
| ~ ssList(sK5)
| segmentP(app(sK3,X0),sK5) ),
inference(subsumption_resolution,[],[f456,f160]) ).
fof(f456,plain,
! [X0] :
( ~ ssList(app(sK3,X0))
| ~ ssList(X0)
| ~ ssList(sK4)
| ~ ssList(sK5)
| segmentP(app(sK3,X0),sK5) ),
inference(superposition,[],[f212,f162]) ).
fof(f733,plain,
spl12_17,
inference(avatar_split_clause,[],[f732,f496]) ).
fof(f732,plain,
segmentP(sK2,sK5),
inference(subsumption_resolution,[],[f731,f160]) ).
fof(f731,plain,
( segmentP(sK2,sK5)
| ~ ssList(sK4) ),
inference(subsumption_resolution,[],[f699,f161]) ).
fof(f699,plain,
( segmentP(sK2,sK5)
| ~ ssList(sK5)
| ~ ssList(sK4) ),
inference(superposition,[],[f464,f163]) ).
fof(f464,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f463,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',ax26) ).
fof(f463,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(subsumption_resolution,[],[f460,f180]) ).
fof(f460,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f455]) ).
fof(f455,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f212,f173]) ).
fof(f173,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',ax28) ).
fof(f595,plain,
( spl12_12
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f594,f357,f361]) ).
fof(f594,plain,
( sK3 = sK4
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f576,f160]) ).
fof(f576,plain,
( sK3 = sK4
| ~ ssList(sK4)
| ~ spl12_11 ),
inference(superposition,[],[f557,f165]) ).
fof(f557,plain,
( sK3 = app(sK4,nil)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f162,f359]) ).
fof(f555,plain,
( spl12_11
| spl12_16 ),
inference(avatar_split_clause,[],[f554,f492,f357]) ).
fof(f554,plain,
( nil = sK5
| spl12_16 ),
inference(subsumption_resolution,[],[f553,f161]) ).
fof(f553,plain,
( nil = sK5
| ~ ssList(sK5)
| spl12_16 ),
inference(subsumption_resolution,[],[f543,f180]) ).
fof(f543,plain,
( nil = sK5
| ~ ssList(nil)
| ~ ssList(sK5)
| spl12_16 ),
inference(resolution,[],[f494,f177]) ).
fof(f177,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',ax15) ).
fof(f494,plain,
( ~ neq(sK5,nil)
| spl12_16 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f258,plain,
( spl12_1
| spl12_3 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| spl12_1
| spl12_3 ),
inference(subsumption_resolution,[],[f256,f156]) ).
fof(f256,plain,
( ~ ssList(sK3)
| spl12_1
| spl12_3 ),
inference(subsumption_resolution,[],[f255,f180]) ).
fof(f255,plain,
( ~ ssList(nil)
| ~ ssList(sK3)
| spl12_1
| spl12_3 ),
inference(subsumption_resolution,[],[f252,f219]) ).
fof(f219,plain,
( nil != sK3
| spl12_1 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f252,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl12_3 ),
inference(resolution,[],[f177,f233]) ).
fof(f233,plain,
( ~ neq(sK3,nil)
| spl12_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl12_3
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f238,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f229,f235,f231]) ).
fof(f229,plain,
( ~ segmentP(sK2,sK3)
| ~ neq(sK3,nil) ),
inference(subsumption_resolution,[],[f228,f156]) ).
fof(f228,plain,
( ~ ssList(sK3)
| ~ segmentP(sK2,sK3)
| ~ neq(sK3,nil) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f227,plain,
( ~ ssList(sK3)
| ~ segmentP(sK2,sK3)
| ~ neq(sK3,nil)
| ~ ssList(sK3) ),
inference(resolution,[],[f185,f204]) ).
fof(f185,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077',ax55) ).
fof(f224,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f203,f221,f217]) ).
fof(f203,plain,
( nil != sK2
| nil != sK3 ),
inference(definition_unfolding,[],[f164,f158,f157]) ).
fof(f164,plain,
( nil != sK0
| nil != sK1 ),
inference(cnf_transformation,[],[f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:53:41 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.VaGVgsXR3C/Vampire---4.8_25077
% 0.55/0.76 % (25331)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.76 % (25333)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (25334)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.76 % (25332)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.76 % (25335)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.76 % (25336)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76 % (25337)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.76 % (25338)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.77 % (25334)Instruction limit reached!
% 0.60/0.77 % (25334)------------------------------
% 0.60/0.77 % (25334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (25334)Termination reason: Unknown
% 0.60/0.77 % (25334)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (25334)Memory used [KB]: 1597
% 0.60/0.77 % (25334)Time elapsed: 0.018 s
% 0.60/0.77 % (25334)Instructions burned: 34 (million)
% 0.60/0.77 % (25334)------------------------------
% 0.60/0.77 % (25334)------------------------------
% 0.60/0.77 % (25335)Instruction limit reached!
% 0.60/0.77 % (25335)------------------------------
% 0.60/0.77 % (25335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (25335)Termination reason: Unknown
% 0.60/0.77 % (25335)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (25335)Memory used [KB]: 2020
% 0.60/0.77 % (25335)Time elapsed: 0.020 s
% 0.60/0.77 % (25335)Instructions burned: 35 (million)
% 0.60/0.77 % (25335)------------------------------
% 0.60/0.77 % (25335)------------------------------
% 0.60/0.78 % (25331)Instruction limit reached!
% 0.60/0.78 % (25331)------------------------------
% 0.60/0.78 % (25331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (25331)Termination reason: Unknown
% 0.60/0.78 % (25331)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (25331)Memory used [KB]: 1441
% 0.60/0.78 % (25331)Time elapsed: 0.022 s
% 0.60/0.78 % (25331)Instructions burned: 35 (million)
% 0.60/0.78 % (25331)------------------------------
% 0.60/0.78 % (25331)------------------------------
% 0.60/0.78 % (25339)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.78 % (25340)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.78 % (25333)First to succeed.
% 0.60/0.78 % (25341)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.78 % (25337)Instruction limit reached!
% 0.60/0.78 % (25337)------------------------------
% 0.60/0.78 % (25337)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (25337)Termination reason: Unknown
% 0.60/0.78 % (25337)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (25337)Memory used [KB]: 2230
% 0.60/0.78 % (25337)Time elapsed: 0.024 s
% 0.60/0.78 % (25337)Instructions burned: 83 (million)
% 0.60/0.78 % (25337)------------------------------
% 0.60/0.78 % (25337)------------------------------
% 0.60/0.78 % (25336)Instruction limit reached!
% 0.60/0.78 % (25336)------------------------------
% 0.60/0.78 % (25336)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (25336)Termination reason: Unknown
% 0.60/0.78 % (25336)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (25336)Memory used [KB]: 1506
% 0.60/0.78 % (25336)Time elapsed: 0.027 s
% 0.60/0.78 % (25336)Instructions burned: 45 (million)
% 0.60/0.78 % (25336)------------------------------
% 0.60/0.78 % (25336)------------------------------
% 0.60/0.78 % (25333)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Theorem for Vampire---4
% 0.60/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78 % (25333)------------------------------
% 0.60/0.78 % (25333)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (25333)Termination reason: Refutation
% 0.60/0.78
% 0.60/0.78 % (25333)Memory used [KB]: 1403
% 0.60/0.78 % (25333)Time elapsed: 0.026 s
% 0.60/0.78 % (25333)Instructions burned: 42 (million)
% 0.60/0.78 % (25333)------------------------------
% 0.60/0.78 % (25333)------------------------------
% 0.60/0.78 % (25327)Success in time 0.395 s
% 0.60/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------