%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC330+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:29 PM UTC 2026
% Result : Theorem 3.40s 1.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 17 unt; 9 def)
% Number of atoms : 378 ( 55 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 449 ( 175 ~; 171 |; 79 &)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 71 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| cons(X4,nil) != X2
| app(app(X5,X2),X6) != X3
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7) )
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X8,X4) ) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| cons(X4,nil) != X2
| app(app(X5,X2),X6) != X3
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7) )
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X8,X4) ) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ssList(X6)
& cons(X4,nil) = X2
& app(app(X5,X2),X6) = X3
& ! [X7] :
( ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ lt(X4,X7) )
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ lt(X8,X4) ) )
& ssList(X5) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f102,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f164,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,definition,
! [X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ssList(X6)
& cons(X4,nil) = X2
& app(app(X5,X2),X6) = X3
& ! [X7] :
( ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ lt(X4,X7) )
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ lt(X8,X4) ) )
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X2,X3) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f182,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( sP0(X2,X3)
| ( nil = X3
& nil = X2 ) )
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f98,f181]) ).
fof(f192,plain,
! [X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ssList(X6)
& cons(X4,nil) = X2
& app(app(X5,X2),X6) = X3
& ! [X7] :
( ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ lt(X4,X7) )
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ lt(X8,X4) ) )
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X2,X3) ),
inference(nnf_transformation,[],[f181]) ).
fof(f193,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ssList(X4)
& cons(X2,nil) = X0
& app(app(X3,X0),X4) = X1
& ! [X5] :
( ~ ssItem(X5)
| ~ memberP(X3,X5)
| ~ lt(X2,X5) )
& ! [X6] :
( ~ ssItem(X6)
| ~ memberP(X4,X6)
| ~ lt(X6,X2) ) )
& ssList(X3) )
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( ( ssList(sK9(X0,X1))
& cons(sK7(X0,X1),nil) = X0
& app(app(sK8(X0,X1),X0),sK9(X0,X1)) = X1
& ! [X5] :
( ~ ssItem(X5)
| ~ memberP(sK8(X0,X1),X5)
| ~ lt(sK7(X0,X1),X5) )
& ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sK9(X0,X1),X6)
| ~ lt(X6,sK7(X0,X1)) )
& ssList(sK8(X0,X1))
& ssItem(sK7(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1)),skolemize(X4,sK9(X0,X1))],[f193]) ).
fof(f195,plain,
( ssList(sK13)
& sK11 = sK13
& sK10 = sK12
& ( sP0(sK12,sK13)
| ( nil = sK13
& nil = sK12 ) )
& ( ~ segmentP(sK11,sK10)
| ~ equalelemsP(sK10) )
& ssList(sK12)
& ssList(sK11)
& ssList(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13)],[f182]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f159]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK55(X0,X1))
& ssList(sK56(X0,X1))
& app(app(sK55(X0,X1),X1),sK56(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55,sK56]),skolemize(X4,sK55(X0,X1)),skolemize(X5,sK56(X0,X1))],[f241]) ).
fof(f253,plain,
! [X0,X1] :
( ssItem(sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f254,plain,
! [X0,X1] :
( ssList(sK8(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f257,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| app(app(sK8(X0,X1),X0),sK9(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f194]) ).
fof(f258,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK7(X0,X1),nil) = X0 ),
inference(cnf_transformation,[],[f194]) ).
fof(f259,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f260,plain,
ssList(sK10),
inference(cnf_transformation,[],[f195]) ).
fof(f261,plain,
ssList(sK11),
inference(cnf_transformation,[],[f195]) ).
fof(f263,plain,
( ~ segmentP(sK11,sK10)
| ~ equalelemsP(sK10) ),
inference(cnf_transformation,[],[f195]) ).
fof(f264,plain,
( sP0(sK12,sK13)
| nil = sK12 ),
inference(cnf_transformation,[],[f195]) ).
fof(f265,plain,
( sP0(sK12,sK13)
| nil = sK13 ),
inference(cnf_transformation,[],[f195]) ).
fof(f266,plain,
sK10 = sK12,
inference(cnf_transformation,[],[f195]) ).
fof(f267,plain,
sK11 = sK13,
inference(cnf_transformation,[],[f195]) ).
fof(f274,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f409,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f413,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f427,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f428,plain,
( ~ segmentP(sK13,sK12)
| ~ equalelemsP(sK12) ),
inference(definition_unfolding,[],[f263,f267,f266,f266]) ).
fof(f429,plain,
ssList(sK13),
inference(definition_unfolding,[],[f261,f267]) ).
fof(f430,plain,
ssList(sK12),
inference(definition_unfolding,[],[f260,f266]) ).
fof(f449,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f402]) ).
fof(f460,definition,
( spl59_1
<=> equalelemsP(sK12) ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f462,plain,
( ~ equalelemsP(sK12)
| spl59_1 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f464,definition,
( spl59_2
<=> segmentP(sK13,sK12) ),
introduced(definition,[new_symbols(definition,[spl59_2])],[avatar_definition]) ).
fof(f466,plain,
( ~ segmentP(sK13,sK12)
| spl59_2 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,plain,
( ~ spl59_1
| ~ spl59_2 ),
inference(avatar_split_clause,[],[f428,f464,f460]) ).
fof(f469,definition,
( spl59_3
<=> nil = sK12 ),
introduced(definition,[new_symbols(definition,[spl59_3])],[avatar_definition]) ).
fof(f471,plain,
( nil = sK12
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl59_4
<=> sP0(sK12,sK13) ),
introduced(definition,[new_symbols(definition,[spl59_4])],[avatar_definition]) ).
fof(f475,plain,
( sP0(sK12,sK13)
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,plain,
( spl59_3
| spl59_4 ),
inference(avatar_split_clause,[],[f264,f473,f469]) ).
fof(f478,definition,
( spl59_5
<=> nil = sK13 ),
introduced(definition,[new_symbols(definition,[spl59_5])],[avatar_definition]) ).
fof(f480,plain,
( nil = sK13
| ~ spl59_5 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f481,plain,
( spl59_5
| spl59_4 ),
inference(avatar_split_clause,[],[f265,f473,f478]) ).
fof(f490,plain,
( sK12 = cons(sK7(sK12,sK13),nil)
| ~ spl59_4 ),
inference(resolution,[],[f258,f475]) ).
fof(f491,plain,
( equalelemsP(sK12)
| ~ ssItem(sK7(sK12,sK13))
| ~ spl59_4 ),
inference(superposition,[],[f274,f490]) ).
fof(f506,definition,
( spl59_6
<=> ssItem(sK7(sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl59_6])],[avatar_definition]) ).
fof(f508,plain,
( ~ ssItem(sK7(sK12,sK13))
| spl59_6 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f539,plain,
( ~ ssItem(sK7(sK12,sK13))
| spl59_1
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f491,f462]) ).
fof(f547,plain,
( ~ spl59_6
| spl59_1
| ~ spl59_4 ),
inference(avatar_split_clause,[],[f539,f473,f460,f506]) ).
fof(f549,plain,
( ~ sP0(sK12,sK13)
| spl59_6 ),
inference(resolution,[],[f508,f253]) ).
fof(f550,plain,
( $false
| ~ spl59_4
| spl59_6 ),
inference(forward_subsumption_resolution,[],[f549,f475]) ).
fof(f551,plain,
( ~ spl59_4
| spl59_6 ),
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f609,plain,
( ~ segmentP(sK13,nil)
| spl59_2
| ~ spl59_3 ),
inference(superposition,[],[f466,f471]) ).
fof(f621,plain,
( ~ segmentP(nil,nil)
| spl59_2
| ~ spl59_3
| ~ spl59_5 ),
inference(forward_demodulation,[],[f609,f480]) ).
fof(f657,plain,
( ~ ssList(nil)
| spl59_2
| ~ spl59_3
| ~ spl59_5 ),
inference(resolution,[],[f621,f413]) ).
fof(f661,plain,
( $false
| spl59_2
| ~ spl59_3
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f657,f409]) ).
fof(f662,plain,
( spl59_2
| ~ spl59_3
| ~ spl59_5 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f663,plain,
( ~ equalelemsP(nil)
| spl59_1
| ~ spl59_3 ),
inference(forward_demodulation,[],[f462,f471]) ).
fof(f665,plain,
( $false
| spl59_1
| ~ spl59_3 ),
inference(forward_subsumption_resolution,[],[f663,f427]) ).
fof(f666,plain,
( spl59_1
| ~ spl59_3 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f1289,plain,
( sK13 = app(app(sK8(sK12,sK13),sK12),sK9(sK12,sK13))
| ~ spl59_4 ),
inference(resolution,[],[f475,f257]) ).
fof(f1876,plain,
( ~ ssList(sK13)
| ~ ssList(sK8(sK12,sK13))
| ~ ssList(sK9(sK12,sK13))
| ~ ssList(sK12)
| segmentP(sK13,sK12)
| ~ spl59_4 ),
inference(superposition,[],[f449,f1289]) ).
fof(f1896,definition,
( spl59_50
<=> ssList(sK9(sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl59_50])],[avatar_definition]) ).
fof(f1898,plain,
( ~ ssList(sK9(sK12,sK13))
| spl59_50 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f1944,plain,
( ~ ssList(sK8(sK12,sK13))
| ~ ssList(sK9(sK12,sK13))
| ~ ssList(sK12)
| segmentP(sK13,sK12)
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f1876,f429]) ).
fof(f1957,definition,
( spl59_63
<=> ssList(sK8(sK12,sK13)) ),
introduced(definition,[new_symbols(definition,[spl59_63])],[avatar_definition]) ).
fof(f1959,plain,
( ~ ssList(sK8(sK12,sK13))
| spl59_63 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f1965,plain,
( ~ ssList(sK8(sK12,sK13))
| ~ ssList(sK9(sK12,sK13))
| segmentP(sK13,sK12)
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f1944,f430]) ).
fof(f1967,plain,
( ~ ssList(sK8(sK12,sK13))
| ~ ssList(sK9(sK12,sK13))
| spl59_2
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f1965,f466]) ).
fof(f1968,plain,
( ~ spl59_50
| ~ spl59_63
| spl59_2
| ~ spl59_4 ),
inference(avatar_split_clause,[],[f1967,f473,f464,f1957,f1896]) ).
fof(f2017,plain,
( ~ sP0(sK12,sK13)
| spl59_50 ),
inference(resolution,[],[f1898,f259]) ).
fof(f2018,plain,
( $false
| ~ spl59_4
| spl59_50 ),
inference(forward_subsumption_resolution,[],[f2017,f475]) ).
fof(f2019,plain,
( ~ spl59_4
| spl59_50 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2060,plain,
( ~ sP0(sK12,sK13)
| spl59_63 ),
inference(resolution,[],[f1959,f254]) ).
fof(f2061,plain,
( $false
| ~ spl59_4
| spl59_63 ),
inference(forward_subsumption_resolution,[],[f2060,f475]) ).
fof(f2062,plain,
( ~ spl59_4
| spl59_63 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
cnf(s1,plain,
( ~ spl59_1
| ~ spl59_2 ),
inference(sat_conversion,[],[f467]) ).
cnf(s2,plain,
( spl59_3
| spl59_4 ),
inference(sat_conversion,[],[f476]) ).
cnf(s3,plain,
( spl59_4
| spl59_5 ),
inference(sat_conversion,[],[f481]) ).
cnf(s13,plain,
( spl59_1
| ~ spl59_4
| ~ spl59_6 ),
inference(sat_conversion,[],[f547]) ).
cnf(s14,plain,
( ~ spl59_4
| spl59_6 ),
inference(sat_conversion,[],[f551]) ).
cnf(s19,plain,
( spl59_2
| ~ spl59_3
| ~ spl59_5 ),
inference(sat_conversion,[],[f662]) ).
cnf(s20,plain,
( spl59_1
| ~ spl59_3 ),
inference(sat_conversion,[],[f666]) ).
cnf(s77,plain,
( spl59_2
| ~ spl59_4
| ~ spl59_50
| ~ spl59_63 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s78,plain,
( ~ spl59_4
| spl59_50 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s79,plain,
( ~ spl59_4
| spl59_63 ),
inference(sat_conversion,[],[f2062]) ).
cnf(s98,plain,
spl59_1,
inference(rat,[],[s13,s14,s2,s20]) ).
cnf(s99,plain,
~ spl59_2,
inference(rat,[],[s1,s98]) ).
cnf(s100,plain,
~ spl59_4,
inference(rat,[],[s77,s78,s79,s99]) ).
cnf(s101,plain,
spl59_5,
inference(rat,[],[s3,s100]) ).
cnf(s102,plain,
spl59_3,
inference(rat,[],[s2,s100]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s19,s99,s102,s101]) ).
fof(f2063,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC330+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:08:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/1.41 % (3243503)Detected formulas, will run a generic FOF schedule.
% 3.40/1.41 % (3243509)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3251973056:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.40/1.41 % (3243513)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3421596849:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.40/1.41 % (3243512)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3641755678:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.40/1.41 % (3243514)dis-21_1_sil=8000:lcm=predicate:random_seed=2305571957:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.40/1.41 % (3243511)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2330025097:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.40/1.41 % (3243508)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3412003719:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.40/1.41 % (3243510)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3037456996:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.40/1.41 % (3243511)Refutation not found, incomplete strategy
% 3.40/1.41 % (3243511)------------------------------
% 3.40/1.41 % (3243511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.41 % (3243511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.41 % (3243511)CaDiCaL version: 2.1.3
% 3.40/1.41 % (3243511)Termination reason: Refutation not found, incomplete strategy
% 3.40/1.41 % (3243511)Time elapsed: 0.005 s
% 3.40/1.41 % (3243511)Peak memory usage: 88 MB
% 3.40/1.41 % (3243511)Instructions burned: 6 (million)
% 3.40/1.41 % (3243512)Instruction limit reached!
% 3.40/1.41 % (3243512)------------------------------
% 3.40/1.41 % (3243512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.41 % (3243512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.41 % (3243512)CaDiCaL version: 2.1.3
% 3.40/1.41 % (3243512)Termination reason: Instruction limit
% 3.40/1.41 % (3243512)Termination phase: Saturation
% 3.40/1.41 % (3243512)Time elapsed: 0.054 s
% 3.40/1.41 % (3243512)Peak memory usage: 88 MB
% 3.40/1.41 % (3243512)Instructions burned: 119 (million)
% 3.40/1.41 % (3243514)Instruction limit reached!
% 3.40/1.41 % (3243514)------------------------------
% 3.40/1.41 % (3243514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.41 % (3243514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.41 % (3243514)CaDiCaL version: 2.1.3
% 3.40/1.41 % (3243514)Termination reason: Instruction limit
% 3.40/1.41 % (3243514)Termination phase: Saturation
% 3.40/1.41 % (3243514)Time elapsed: 0.071 s
% 3.40/1.41 % (3243514)Peak memory usage: 90 MB
% 3.40/1.41 % (3243514)Instructions burned: 129 (million)
% 3.40/1.41 % (3243513)Instruction limit reached!
% 3.40/1.41 % (3243513)------------------------------
% 3.40/1.41 % (3243513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.41 % (3243513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.41 % (3243513)CaDiCaL version: 2.1.3
% 3.40/1.41 % (3243513)Termination reason: Instruction limit
% 3.40/1.41 % (3243513)Termination phase: Saturation
% 3.40/1.41 % (3243513)Time elapsed: 0.095 s
% 3.40/1.41 % (3243513)Peak memory usage: 90 MB
% 3.40/1.41 % (3243513)Instructions burned: 140 (million)
% 3.40/1.41 % (3243522)lrs+10_1_sil=8000:sp=occurrence:random_seed=2745835812:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.40/1.41 % (3243523)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2279937399:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.40/1.41 % (3243511)------------------------------
% 3.40/1.41 % (3243511)------------------------------
% 3.40/1.41 % (3243524)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3037598576:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.40/1.41 % (3243523)Instruction limit reached!
% 3.40/1.41 % (3243523)------------------------------
% 3.40/1.41 % (3243523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.41 % (3243523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.41 % (3243523)CaDiCaL version: 2.1.3
% 3.40/1.41 % (3243523)Termination reason: Instruction limit
% 3.40/1.41 % (3243523)Termination phase: Saturation
% 3.40/1.41 % (3243523)Time elapsed: 0.082 s
% 3.40/1.41 % (3243523)Peak memory usage: 94 MB
% 3.40/1.41 % (3243523)Instructions burned: 158 (million)
% 3.40/1.41 % (3243524)First to succeed.
% 3.40/1.41 % (3243524)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3243503"
% 3.40/1.41 % (3243509)Also succeeded, but the first one will report.
% 3.40/1.41 % (3243522)Also succeeded, but the first one will report.
% 3.40/1.41 % (3243527)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=946911727:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.40/1.41 % (3243529)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1983284595:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.40/1.41 % (3243527)Instruction limit reached!
% 3.40/1.41 % (3243527)------------------------------
% 3.40/1.41 % (3243527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.41 % (3243527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.41 % (3243527)CaDiCaL version: 2.1.3
% 3.40/1.41 % (3243527)Termination reason: Instruction limit
% 3.40/1.41 % (3243527)Termination phase: Saturation
% 3.40/1.41 % (3243527)Time elapsed: 0.123 s
% 3.40/1.41 % (3243527)Peak memory usage: 94 MB
% 3.40/1.41 % (3243527)Instructions burned: 250 (million)
% 3.40/1.41 % (3243524)Refutation found. Thanks to Tanya!
% 3.40/1.41 % SZS status Theorem for theBenchmark
% 3.40/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.60 % (3243524)------------------------------
% 0.20/1.60 % (3243524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.60 % (3243524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.60 % (3243524)CaDiCaL version: 2.1.3
% 0.20/1.60 % (3243524)Termination reason: Refutation
% 0.20/1.60 % (3243524)Time elapsed: 0.046 s
% 0.20/1.60 % (3243524)Peak memory usage: 91 MB
% 0.20/1.60 % (3243524)Instructions burned: 69 (million)
% 0.20/1.60 % (3243524)------------------------------
% 0.20/1.60 % (3243524)------------------------------
% 0.20/1.60 % (3243503)Success in time 0.74 s
% 0.20/1.60 % Vampire exiting
%------------------------------------------------------------------------------