%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC193+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 : n014.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 01:02:53 PM UTC 2026
% Result : Theorem 10.92s 2.45s
% Output : Refutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 29
% Syntax : Number of formulae : 208 ( 40 unt; 16 def)
% Number of atoms : 721 ( 157 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 917 ( 404 ~; 401 |; 57 &)
% ( 19 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 12 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 92 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
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
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f237,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK10(X0))
& cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f285,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f292]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& segmentP(sK56,sK55)
& sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60)
& sK57 != sK58
& ssList(sK60)
& ssList(sK59)
& ssItem(sK58)
& ssItem(sK57)
& ( singletonP(sK55)
| ~ neq(sK56,nil) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60)],[f222]) ).
fof(f306,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK10(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f307,plain,
! [X0] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f443,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f479,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f480,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( singletonP(sK55)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
ssList(sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
sK55 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(definition_unfolding,[],[f506,f508]) ).
fof(f511,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f509]) ).
fof(f512,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f508]) ).
fof(f540,definition,
sF61 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).
fof(f541,plain,
cons(sK57,nil) = sF61,
inference(reorient_equations,[],[f540]) ).
fof(f542,definition,
sF62 = app(sK59,sF61),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f543,plain,
app(sK59,sF61) = sF62,
inference(reorient_equations,[],[f542]) ).
fof(f544,definition,
sF63 = cons(sK58,nil),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f545,plain,
cons(sK58,nil) = sF63,
inference(reorient_equations,[],[f544]) ).
fof(f546,definition,
sF64 = app(sF62,sF63),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f547,plain,
app(sF62,sF63) = sF64,
inference(reorient_equations,[],[f546]) ).
fof(f548,definition,
sF65 = app(sF64,sK60),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
fof(f549,plain,
app(sF64,sK60) = sF65,
inference(reorient_equations,[],[f548]) ).
fof(f550,plain,
sK55 = sF65,
inference(definition_folding,[],[f510,f549,f547,f545,f543,f541]) ).
fof(f559,definition,
( spl66_1
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl66_1])],[avatar_definition]) ).
fof(f561,plain,
( ~ neq(sK56,nil)
| spl66_1 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f563,definition,
( spl66_2
<=> singletonP(sK55) ),
introduced(definition,[new_symbols(definition,[spl66_2])],[avatar_definition]) ).
fof(f565,plain,
( singletonP(sK55)
| ~ spl66_2 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( ~ spl66_1
| spl66_2 ),
inference(avatar_split_clause,[],[f500,f563,f559]) ).
fof(f568,definition,
( spl66_3
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl66_3])],[avatar_definition]) ).
fof(f569,plain,
( ssList(nil)
| ~ spl66_3 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f596,plain,
spl66_3,
inference(avatar_split_clause,[],[f389,f568]) ).
fof(f599,plain,
sK55 = app(sF64,sK60),
inference(forward_demodulation,[],[f549,f550]) ).
fof(f600,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl66_1 ),
inference(resolution,[],[f387,f561]) ).
fof(f601,plain,
( nil = sK56
| ~ ssList(sK56)
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f600,f569]) ).
fof(f602,plain,
( nil = sK56
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f601,f511]) ).
fof(f604,plain,
( segmentP(nil,sK55)
| spl66_1
| ~ spl66_3 ),
inference(superposition,[],[f507,f602]) ).
fof(f612,plain,
( nil = sK55
| ~ ssList(sK55)
| spl66_1
| ~ spl66_3 ),
inference(resolution,[],[f443,f604]) ).
fof(f613,plain,
( nil = sK55
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f612,f512]) ).
fof(f618,plain,
( ssList(sF62)
| ~ ssList(sF61)
| ~ ssList(sK59) ),
inference(superposition,[],[f401,f543]) ).
fof(f620,plain,
( ssList(sF64)
| ~ ssList(sF63)
| ~ ssList(sF62) ),
inference(superposition,[],[f401,f547]) ).
fof(f622,definition,
( spl66_9
<=> ssList(sF62) ),
introduced(definition,[new_symbols(definition,[spl66_9])],[avatar_definition]) ).
fof(f623,plain,
( ssList(sF62)
| ~ spl66_9 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f626,definition,
( spl66_10
<=> ssList(sF63) ),
introduced(definition,[new_symbols(definition,[spl66_10])],[avatar_definition]) ).
fof(f627,plain,
( ssList(sF63)
| ~ spl66_10 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f630,definition,
( spl66_11
<=> ssList(sF64) ),
introduced(definition,[new_symbols(definition,[spl66_11])],[avatar_definition]) ).
fof(f632,plain,
( ssList(sF64)
| ~ spl66_11 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f633,plain,
( ~ spl66_9
| ~ spl66_10
| spl66_11 ),
inference(avatar_split_clause,[],[f620,f630,f626,f622]) ).
fof(f634,plain,
( ssList(sF62)
| ~ ssList(sF61) ),
inference(forward_subsumption_resolution,[],[f618,f503]) ).
fof(f636,definition,
( spl66_12
<=> ssList(sF61) ),
introduced(definition,[new_symbols(definition,[spl66_12])],[avatar_definition]) ).
fof(f637,plain,
( ssList(sF61)
| ~ spl66_12 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f638,plain,
( ~ ssList(sF61)
| spl66_12 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f639,plain,
( ~ spl66_12
| spl66_9 ),
inference(avatar_split_clause,[],[f634,f622,f636]) ).
fof(f641,plain,
( ssList(sF61)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f541]) ).
fof(f642,plain,
( ssList(sF63)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f545]) ).
fof(f643,plain,
( ssList(sF63)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f642,f502]) ).
fof(f644,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| spl66_12 ),
inference(forward_subsumption_resolution,[],[f641,f638]) ).
fof(f645,plain,
( ssList(sF63)
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f643,f569]) ).
fof(f646,plain,
( ~ ssList(nil)
| spl66_12 ),
inference(forward_subsumption_resolution,[],[f644,f501]) ).
fof(f647,plain,
( spl66_10
| ~ spl66_3 ),
inference(avatar_split_clause,[],[f645,f568,f626]) ).
fof(f648,plain,
( $false
| ~ spl66_3
| spl66_12 ),
inference(forward_subsumption_resolution,[],[f646,f569]) ).
fof(f649,plain,
( ~ spl66_3
| spl66_12 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f663,plain,
( sF64 = app(sF64,nil)
| ~ spl66_11 ),
inference(resolution,[],[f482,f632]) ).
fof(f665,plain,
( nil != sF61
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f541]) ).
fof(f666,plain,
( nil != sF63
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f545]) ).
fof(f667,plain,
( nil != sF63
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f666,f502]) ).
fof(f668,plain,
( nil != sF61
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f665,f501]) ).
fof(f669,plain,
( nil != sF63
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f667,f569]) ).
fof(f670,plain,
( nil != sF61
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f668,f569]) ).
fof(f705,plain,
( nil != sF62
| nil = sF61
| ~ ssList(sF61)
| ~ ssList(sK59) ),
inference(superposition,[],[f480,f543]) ).
fof(f708,plain,
( nil != sF64
| nil = sF63
| ~ ssList(sF63)
| ~ ssList(sF62) ),
inference(superposition,[],[f480,f547]) ).
fof(f711,plain,
( nil != sK55
| nil = sK60
| ~ ssList(sK60)
| ~ ssList(sF64) ),
inference(superposition,[],[f480,f599]) ).
fof(f712,plain,
( nil = sK60
| ~ ssList(sK60)
| ~ ssList(sF64)
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f711,f613]) ).
fof(f715,plain,
( nil != sF64
| ~ ssList(sF63)
| ~ ssList(sF62)
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f708,f669]) ).
fof(f718,plain,
( nil != sF62
| ~ ssList(sF61)
| ~ ssList(sK59)
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f705,f670]) ).
fof(f719,plain,
( nil = sK60
| ~ ssList(sF64)
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f712,f504]) ).
fof(f722,plain,
( nil != sF64
| ~ ssList(sF62)
| ~ spl66_3
| ~ spl66_10 ),
inference(forward_subsumption_resolution,[],[f715,f627]) ).
fof(f725,plain,
( nil != sF62
| ~ ssList(sK59)
| ~ spl66_3
| ~ spl66_12 ),
inference(forward_subsumption_resolution,[],[f718,f637]) ).
fof(f726,plain,
( nil = sK60
| spl66_1
| ~ spl66_3
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f719,f632]) ).
fof(f737,definition,
( spl66_15
<=> nil = sK60 ),
introduced(definition,[new_symbols(definition,[spl66_15])],[avatar_definition]) ).
fof(f739,plain,
( nil = sK60
| ~ spl66_15 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f745,plain,
( nil != sF64
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10 ),
inference(forward_subsumption_resolution,[],[f722,f623]) ).
fof(f756,plain,
( nil != sF62
| ~ spl66_3
| ~ spl66_12 ),
inference(forward_subsumption_resolution,[],[f725,f503]) ).
fof(f757,plain,
( spl66_15
| spl66_1
| ~ spl66_3
| ~ spl66_11 ),
inference(avatar_split_clause,[],[f726,f630,f568,f559,f737]) ).
fof(f761,plain,
( sK55 = app(sF64,nil)
| ~ spl66_15 ),
inference(superposition,[],[f599,f739]) ).
fof(f762,plain,
( sK55 = sF64
| ~ spl66_11
| ~ spl66_15 ),
inference(forward_demodulation,[],[f761,f663]) ).
fof(f765,plain,
( nil = sF64
| spl66_1
| ~ spl66_3
| ~ spl66_11
| ~ spl66_15 ),
inference(forward_demodulation,[],[f762,f613]) ).
fof(f766,plain,
( $false
| spl66_1
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_15 ),
inference(forward_subsumption_resolution,[],[f765,f745]) ).
fof(f767,plain,
( spl66_1
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_15 ),
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f768,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ ssList(sK55)
| ~ spl66_2 ),
inference(resolution,[],[f565,f306]) ).
fof(f769,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ spl66_2 ),
inference(forward_subsumption_resolution,[],[f768,f512]) ).
fof(f1011,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK60)) = app(tl(X0),sK60)
| nil = X0 ),
inference(resolution,[],[f484,f504]) ).
fof(f1014,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sF63)) = app(tl(X0),sF63)
| nil = X0 )
| ~ spl66_10 ),
inference(resolution,[],[f484,f627]) ).
fof(f1100,plain,
( tl(app(sF62,sF63)) = app(tl(sF62),sF63)
| nil = sF62
| ~ spl66_9
| ~ spl66_10 ),
inference(resolution,[],[f1014,f623]) ).
fof(f1105,plain,
( tl(app(sF62,sF63)) = app(tl(sF62),sF63)
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12 ),
inference(forward_subsumption_resolution,[],[f1100,f756]) ).
fof(f1172,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl66_3 ),
inference(resolution,[],[f400,f569]) ).
fof(f4312,plain,
( tl(sF64) = app(tl(sF62),sF63)
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12 ),
inference(forward_demodulation,[],[f1105,f547]) ).
fof(f4530,definition,
( spl66_89
<=> ssList(tl(sF62)) ),
introduced(definition,[new_symbols(definition,[spl66_89])],[avatar_definition]) ).
fof(f4531,plain,
( ssList(tl(sF62))
| ~ spl66_89 ),
inference(avatar_component_clause,[],[f4530]) ).
fof(f4532,plain,
( ~ ssList(tl(sF62))
| spl66_89 ),
inference(avatar_component_clause,[],[f4530]) ).
fof(f4611,plain,
( nil = sF62
| ~ ssList(sF62)
| spl66_89 ),
inference(resolution,[],[f4532,f399]) ).
fof(f4612,plain,
( ~ ssList(sF62)
| ~ spl66_3
| ~ spl66_12
| spl66_89 ),
inference(forward_subsumption_resolution,[],[f4611,f756]) ).
fof(f4613,plain,
( $false
| ~ spl66_3
| ~ spl66_9
| ~ spl66_12
| spl66_89 ),
inference(forward_subsumption_resolution,[],[f4612,f623]) ).
fof(f4614,plain,
( ~ spl66_3
| ~ spl66_9
| ~ spl66_12
| spl66_89 ),
inference(avatar_contradiction_clause,[],[f4613]) ).
fof(f4663,definition,
( spl66_96
<=> ssItem(sK10(sK55)) ),
introduced(definition,[new_symbols(definition,[spl66_96])],[avatar_definition]) ).
fof(f4664,plain,
( ssItem(sK10(sK55))
| ~ spl66_96 ),
inference(avatar_component_clause,[],[f4663]) ).
fof(f4665,plain,
( ~ ssItem(sK10(sK55))
| spl66_96 ),
inference(avatar_component_clause,[],[f4663]) ).
fof(f4812,plain,
( ssList(tl(sF64))
| ~ ssList(sF63)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12 ),
inference(superposition,[],[f401,f4312]) ).
fof(f4818,plain,
( nil != tl(sF64)
| nil = sF63
| ~ ssList(sF63)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12 ),
inference(superposition,[],[f480,f4312]) ).
fof(f4821,plain,
( nil != tl(sF64)
| ~ ssList(sF63)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12 ),
inference(forward_subsumption_resolution,[],[f4818,f669]) ).
fof(f4827,plain,
( ssList(tl(sF64))
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12 ),
inference(forward_subsumption_resolution,[],[f4812,f627]) ).
fof(f4832,plain,
( nil != tl(sF64)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12 ),
inference(forward_subsumption_resolution,[],[f4821,f627]) ).
fof(f4838,plain,
( ssList(tl(sF64))
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12
| ~ spl66_89 ),
inference(forward_subsumption_resolution,[],[f4827,f4531]) ).
fof(f4840,definition,
( spl66_117
<=> ssList(tl(sF64)) ),
introduced(definition,[new_symbols(definition,[spl66_117])],[avatar_definition]) ).
fof(f4841,plain,
( ssList(tl(sF64))
| ~ spl66_117 ),
inference(avatar_component_clause,[],[f4840]) ).
fof(f4849,plain,
( nil != tl(sF64)
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12
| ~ spl66_89 ),
inference(forward_subsumption_resolution,[],[f4832,f4531]) ).
fof(f4855,plain,
( spl66_117
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12
| ~ spl66_89 ),
inference(avatar_split_clause,[],[f4838,f4530,f636,f626,f622,f568,f4840]) ).
fof(f5330,plain,
( ~ singletonP(sK55)
| ~ ssList(sK55)
| spl66_96 ),
inference(resolution,[],[f4665,f307]) ).
fof(f5331,plain,
( ~ ssList(sK55)
| ~ spl66_2
| spl66_96 ),
inference(forward_subsumption_resolution,[],[f5330,f565]) ).
fof(f5332,plain,
( $false
| ~ spl66_2
| spl66_96 ),
inference(forward_subsumption_resolution,[],[f5331,f512]) ).
fof(f5333,plain,
( ~ spl66_2
| spl66_96 ),
inference(avatar_contradiction_clause,[],[f5332]) ).
fof(f5341,plain,
( nil = tl(cons(sK10(sK55),nil))
| ~ spl66_3
| ~ spl66_96 ),
inference(resolution,[],[f4664,f1172]) ).
fof(f5348,plain,
( nil = tl(sK55)
| ~ spl66_2
| ~ spl66_3
| ~ spl66_96 ),
inference(forward_demodulation,[],[f5341,f769]) ).
fof(f5937,plain,
( app(tl(sF64),sK60) = tl(app(sF64,sK60))
| nil = sF64
| ~ spl66_11 ),
inference(resolution,[],[f1011,f632]) ).
fof(f5938,plain,
( app(tl(sF64),sK60) = tl(app(sF64,sK60))
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f5937,f745]) ).
fof(f5950,plain,
( tl(sK55) = app(tl(sF64),sK60)
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11 ),
inference(forward_demodulation,[],[f5938,f599]) ).
fof(f6036,plain,
( nil = app(tl(sF64),sK60)
| ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_96 ),
inference(forward_demodulation,[],[f5950,f5348]) ).
fof(f6067,plain,
( nil != nil
| nil = tl(sF64)
| ~ ssList(sK60)
| ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_96 ),
inference(superposition,[],[f479,f6036]) ).
fof(f6071,plain,
( nil = tl(sF64)
| ~ ssList(sK60)
| ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_96 ),
inference(trivial_inequality_removal,[],[f6067]) ).
fof(f6074,plain,
( ~ ssList(sK60)
| ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_12
| ~ spl66_89
| ~ spl66_96 ),
inference(forward_subsumption_resolution,[],[f6071,f4849]) ).
fof(f6081,plain,
( ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_12
| ~ spl66_89
| ~ spl66_96 ),
inference(forward_subsumption_resolution,[],[f6074,f504]) ).
fof(f6088,plain,
( $false
| ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_12
| ~ spl66_89
| ~ spl66_96
| ~ spl66_117 ),
inference(forward_subsumption_resolution,[],[f6081,f4841]) ).
fof(f6089,plain,
( ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_12
| ~ spl66_89
| ~ spl66_96
| ~ spl66_117 ),
inference(avatar_contradiction_clause,[],[f6088]) ).
cnf(s1,plain,
( ~ spl66_1
| spl66_2 ),
inference(sat_conversion,[],[f566]) ).
cnf(s9,plain,
spl66_3,
inference(sat_conversion,[],[f596]) ).
cnf(s10,plain,
( ~ spl66_9
| ~ spl66_10
| spl66_11 ),
inference(sat_conversion,[],[f633]) ).
cnf(s11,plain,
( spl66_9
| ~ spl66_12 ),
inference(sat_conversion,[],[f639]) ).
cnf(s12,plain,
( ~ spl66_3
| spl66_10 ),
inference(sat_conversion,[],[f647]) ).
cnf(s13,plain,
( ~ spl66_3
| spl66_12 ),
inference(sat_conversion,[],[f649]) ).
cnf(s18,plain,
( spl66_1
| ~ spl66_3
| ~ spl66_11
| spl66_15 ),
inference(sat_conversion,[],[f757]) ).
cnf(s19,plain,
( spl66_1
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_15 ),
inference(sat_conversion,[],[f767]) ).
cnf(s96,plain,
( ~ spl66_3
| ~ spl66_9
| ~ spl66_12
| spl66_89 ),
inference(sat_conversion,[],[f4614]) ).
cnf(s120,plain,
( ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_12
| ~ spl66_89
| spl66_117 ),
inference(sat_conversion,[],[f4855]) ).
cnf(s122,plain,
( ~ spl66_2
| spl66_96 ),
inference(sat_conversion,[],[f5333]) ).
cnf(s130,plain,
( ~ spl66_2
| ~ spl66_3
| ~ spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_12
| ~ spl66_89
| ~ spl66_96
| ~ spl66_117 ),
inference(sat_conversion,[],[f6089]) ).
cnf(s131,plain,
spl66_12,
inference(rat,[],[s13,s9]) ).
cnf(s132,plain,
spl66_10,
inference(rat,[],[s12,s9]) ).
cnf(s134,plain,
spl66_9,
inference(rat,[],[s11,s131]) ).
cnf(s141,plain,
spl66_89,
inference(rat,[],[s96,s131,s9,s134]) ).
cnf(s142,plain,
spl66_11,
inference(rat,[],[s10,s132,s134]) ).
cnf(s155,plain,
spl66_117,
inference(rat,[],[s120,s134,s132,s131,s9,s141]) ).
cnf(s160,plain,
spl66_1,
inference(rat,[],[s18,s19,s9,s142,s132,s134]) ).
cnf(s161,plain,
spl66_2,
inference(rat,[],[s1,s160]) ).
cnf(s162,plain,
~ spl66_96,
inference(rat,[],[s130,s155,s134,s141,s131,s142,s132,s9,s161]) ).
cnf(s163,plain,
$false,
inference(rat,[],[s122,s162,s161]) ).
fof(f6090,plain,
$false,
inference(avatar_sat_refutation,[],[s163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC193+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:21:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 10.92/2.45 % (1629817)Detected formulas, will run a generic FOF schedule.
% 10.92/2.45 % (1629824)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=1294342592:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.92/2.45 % (1629827)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2825711501:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.92/2.45 % (1629823)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=2990494836:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.92/2.45 % (1629822)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=3347905199:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.92/2.45 % (1629826)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1028208667:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.92/2.45 % (1629825)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1187367579:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.92/2.45 % (1629828)dis-21_1_sil=8000:lcm=predicate:random_seed=2317079951: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)
% 10.92/2.45 % (1629826)Instruction limit reached!
% 10.92/2.45 % (1629826)------------------------------
% 10.92/2.45 % (1629826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629826)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629826)Termination reason: Instruction limit
% 10.92/2.45 % (1629826)Termination phase: Saturation
% 10.92/2.45 % (1629826)Time elapsed: 0.069 s
% 10.92/2.45 % (1629826)Peak memory usage: 88 MB
% 10.92/2.45 % (1629826)Instructions burned: 120 (million)
% 10.92/2.45 % (1629825)Instruction limit reached!
% 10.92/2.45 % (1629825)------------------------------
% 10.92/2.45 % (1629825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629825)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629825)Termination reason: Instruction limit
% 10.92/2.45 % (1629825)Termination phase: Saturation
% 10.92/2.45 % (1629825)Time elapsed: 0.071 s
% 10.92/2.45 % (1629825)Peak memory usage: 89 MB
% 10.92/2.45 % (1629825)Instructions burned: 111 (million)
% 10.92/2.45 % (1629828)Instruction limit reached!
% 10.92/2.45 % (1629828)------------------------------
% 10.92/2.45 % (1629828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629828)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629828)Termination reason: Instruction limit
% 10.92/2.45 % (1629828)Termination phase: Saturation
% 10.92/2.45 % (1629828)Time elapsed: 0.073 s
% 10.92/2.45 % (1629828)Peak memory usage: 90 MB
% 10.92/2.45 % (1629828)Instructions burned: 130 (million)
% 10.92/2.45 % (1629827)Instruction limit reached!
% 10.92/2.45 % (1629827)------------------------------
% 10.92/2.45 % (1629827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629827)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629827)Termination reason: Instruction limit
% 10.92/2.45 % (1629827)Termination phase: Saturation
% 10.92/2.45 % (1629827)Time elapsed: 0.099 s
% 10.92/2.45 % (1629827)Peak memory usage: 90 MB
% 10.92/2.45 % (1629827)Instructions burned: 139 (million)
% 10.92/2.45 % (1629836)lrs+10_1_sil=8000:sp=occurrence:random_seed=3731034467:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.92/2.45 % (1629838)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3957555139:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.92/2.45 % (1629837)lrs+10_1_sil=32000:urr=on:br=off:random_seed=398234536:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.92/2.45 % (1629839)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=2241879154:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.92/2.45 % (1629837)Instruction limit reached!
% 10.92/2.45 % (1629837)------------------------------
% 10.92/2.45 % (1629837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629837)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629837)Termination reason: Instruction limit
% 10.92/2.45 % (1629837)Termination phase: Saturation
% 10.92/2.45 % (1629837)Time elapsed: 0.072 s
% 10.92/2.45 % (1629837)Peak memory usage: 91 MB
% 10.92/2.45 % (1629837)Instructions burned: 158 (million)
% 10.92/2.45 % (1629839)Instruction limit reached!
% 10.92/2.45 % (1629839)------------------------------
% 10.92/2.45 % (1629839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629839)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629839)Termination reason: Instruction limit
% 10.92/2.45 % (1629839)Termination phase: Saturation
% 10.92/2.45 % (1629839)Time elapsed: 0.116 s
% 10.92/2.45 % (1629839)Peak memory usage: 94 MB
% 10.92/2.45 % (1629839)Instructions burned: 250 (million)
% 10.92/2.45 % (1629836)Instruction limit reached!
% 10.92/2.45 % (1629836)------------------------------
% 10.92/2.45 % (1629836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629836)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629836)Termination reason: Instruction limit
% 10.92/2.45 % (1629836)Termination phase: Saturation
% 10.92/2.45 % (1629836)Time elapsed: 0.170 s
% 10.92/2.45 % (1629836)Peak memory usage: 93 MB
% 10.92/2.45 % (1629836)Instructions burned: 287 (million)
% 10.92/2.45 % (1629844)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2448959411:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.92/2.45 % (1629838)Instruction limit reached!
% 10.92/2.45 % (1629838)------------------------------
% 10.92/2.45 % (1629838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629838)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629838)Termination reason: Instruction limit
% 10.92/2.45 % (1629838)Termination phase: Saturation
% 10.92/2.45 % (1629838)Time elapsed: 0.198 s
% 10.92/2.45 % (1629838)Peak memory usage: 92 MB
% 10.92/2.45 % (1629838)Instructions burned: 325 (million)
% 10.92/2.45 % (1629844)Instruction limit reached!
% 10.92/2.45 % (1629844)------------------------------
% 10.92/2.45 % (1629844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629844)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629844)Termination reason: Instruction limit
% 10.92/2.45 % (1629844)Termination phase: Saturation
% 10.92/2.45 % (1629844)Time elapsed: 0.094 s
% 10.92/2.45 % (1629844)Peak memory usage: 90 MB
% 10.92/2.45 % (1629844)Instructions burned: 295 (million)
% 10.92/2.45 % (1629845)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2322737669:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.92/2.45 % (1629847)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2752980732:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.92/2.45 % (1629848)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=936072362:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.92/2.45 % (1629847)Instruction limit reached!
% 10.92/2.45 % (1629847)------------------------------
% 10.92/2.45 % (1629847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629847)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629847)Termination reason: Instruction limit
% 10.92/2.45 % (1629847)Termination phase: Saturation
% 10.92/2.45 % (1629847)Time elapsed: 0.075 s
% 10.92/2.45 % (1629847)Peak memory usage: 90 MB
% 10.92/2.45 % (1629847)Instructions burned: 113 (million)
% 10.92/2.45 % (1629849)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2884688683:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.92/2.45 % (1629848)Instruction limit reached!
% 10.92/2.45 % (1629848)------------------------------
% 10.92/2.45 % (1629848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629848)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629848)Termination reason: Instruction limit
% 10.92/2.45 % (1629848)Termination phase: Saturation
% 10.92/2.45 % (1629848)Time elapsed: 0.063 s
% 10.92/2.45 % (1629848)Peak memory usage: 90 MB
% 10.92/2.45 % (1629848)Instructions burned: 128 (million)
% 10.92/2.45 % (1629849)Instruction limit reached!
% 10.92/2.45 % (1629849)------------------------------
% 10.92/2.45 % (1629849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629849)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629849)Termination reason: Instruction limit
% 10.92/2.45 % (1629849)Termination phase: Saturation
% 10.92/2.45 % (1629849)Time elapsed: 0.068 s
% 10.92/2.45 % (1629849)Peak memory usage: 89 MB
% 10.92/2.45 % (1629849)Instructions burned: 115 (million)
% 10.92/2.45 % (1629853)lrs+10_1_sil=8000:sp=occurrence:random_seed=1791124292:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.92/2.45 % (1629855)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3589466368:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.92/2.45 % (1629856)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=833853531:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.92/2.45 % (1629855)Instruction limit reached!
% 10.92/2.45 % (1629855)------------------------------
% 10.92/2.45 % (1629855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629855)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629855)Termination reason: Instruction limit
% 10.92/2.45 % (1629855)Termination phase: Saturation
% 10.92/2.45 % (1629855)Time elapsed: 0.255 s
% 10.92/2.45 % (1629855)Peak memory usage: 93 MB
% 10.92/2.45 % (1629855)Instructions burned: 438 (million)
% 10.92/2.45 % (1629860)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3915379434:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.92/2.45 % (1629860)Instruction limit reached!
% 10.92/2.45 % (1629860)------------------------------
% 10.92/2.45 % (1629860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629860)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629860)Termination reason: Instruction limit
% 10.92/2.45 % (1629860)Termination phase: Saturation
% 10.92/2.45 % (1629860)Time elapsed: 0.061 s
% 10.92/2.45 % (1629860)Peak memory usage: 91 MB
% 10.92/2.45 % (1629860)Instructions burned: 134 (million)
% 10.92/2.45 % (1629822)First to succeed.
% 10.92/2.45 % (1629822)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1629817"
% 10.92/2.45 % (1629853)Instruction limit reached!
% 10.92/2.45 % (1629853)------------------------------
% 10.92/2.45 % (1629853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.45 % (1629853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.45 % (1629853)CaDiCaL version: 2.1.3
% 10.92/2.45 % (1629853)Termination reason: Instruction limit
% 10.92/2.45 % (1629853)Termination phase: Saturation
% 10.92/2.45 % (1629853)Time elapsed: 0.514 s
% 10.92/2.45 % (1629853)Peak memory usage: 101 MB
% 10.92/2.45 % (1629853)Instructions burned: 907 (million)
% 10.92/2.45 % (1629862)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4152539941:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.92/2.45 % (1629845)Also succeeded, but the first one will report.
% 10.92/2.45 % (1629863)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3424794973:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.92/2.45 % (1629822)Refutation found. Thanks to Tanya!
% 10.92/2.45 % SZS status Theorem for theBenchmark
% 10.92/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 11.88/2.64 % (1629822)------------------------------
% 11.88/2.64 % (1629822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.64 % (1629822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.64 % (1629822)CaDiCaL version: 2.1.3
% 11.88/2.64 % (1629822)Termination reason: Refutation
% 11.88/2.64 % (1629822)Time elapsed: 1.192 s
% 11.88/2.64 % (1629822)Peak memory usage: 139 MB
% 11.88/2.64 % (1629822)Instructions burned: 1892 (million)
% 11.88/2.64 % (1629822)------------------------------
% 11.88/2.64 % (1629822)------------------------------
% 11.88/2.64 % (1629817)Success in time 1.605 s
% 11.88/2.64 % Vampire exiting
%------------------------------------------------------------------------------