%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC178+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:02:48 PM UTC 2026
% Result : Theorem 8.71s 2.08s
% Output : Refutation 9.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 216 ( 44 unt; 17 def)
% Number of atoms : 760 ( 163 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 969 ( 425 ~; 426 |; 58 &)
% ( 22 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn 100 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/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/sandbox/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 ) )
| neq(X4,X5) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox/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 ) )
| neq(X4,X5) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
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
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5)
& 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
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5)
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f98]) ).
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)
& ssList(sK60)
& ssList(sK59)
& ~ neq(sK57,sK58)
& 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(f298,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f232]) ).
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,
~ neq(sK57,sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f505,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(f605,plain,
( sK57 = sK58
| ~ ssItem(sK58)
| ~ ssItem(sK57) ),
inference(resolution,[],[f503,f298]) ).
fof(f616,definition,
( spl66_11
<=> sK57 = sK58 ),
introduced(definition,[new_symbols(definition,[spl66_11])],[avatar_definition]) ).
fof(f618,plain,
( sK57 = sK58
| ~ spl66_11 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f620,plain,
( sK57 = sK58
| ~ ssItem(sK57) ),
inference(forward_subsumption_resolution,[],[f605,f502]) ).
fof(f621,plain,
sK57 = sK58,
inference(forward_subsumption_resolution,[],[f620,f501]) ).
fof(f622,plain,
spl66_11,
inference(avatar_split_clause,[],[f621,f616]) ).
fof(f625,plain,
( cons(sK57,nil) = sF63
| ~ spl66_11 ),
inference(superposition,[],[f545,f618]) ).
fof(f626,plain,
( sF61 = sF63
| ~ spl66_11 ),
inference(forward_demodulation,[],[f625,f541]) ).
fof(f627,plain,
( sF64 = app(sF62,sF61)
| ~ spl66_11 ),
inference(superposition,[],[f547,f626]) ).
fof(f628,plain,
( segmentP(nil,sK55)
| spl66_1
| ~ spl66_3 ),
inference(superposition,[],[f507,f602]) ).
fof(f630,plain,
( nil = sK55
| ~ ssList(sK55)
| spl66_1
| ~ spl66_3 ),
inference(resolution,[],[f443,f628]) ).
fof(f631,plain,
( nil = sK55
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f630,f512]) ).
fof(f635,plain,
( ssList(sF62)
| ~ ssList(sF61)
| ~ ssList(sK59) ),
inference(superposition,[],[f401,f543]) ).
fof(f637,plain,
( ssList(sF64)
| ~ ssList(sF63)
| ~ ssList(sF62) ),
inference(superposition,[],[f401,f547]) ).
fof(f638,plain,
( ~ ssList(sF61)
| ssList(sF64)
| ~ ssList(sF62)
| ~ spl66_11 ),
inference(forward_demodulation,[],[f637,f626]) ).
fof(f639,plain,
( ssList(sF62)
| ~ ssList(sF61) ),
inference(forward_subsumption_resolution,[],[f635,f504]) ).
fof(f641,definition,
( spl66_12
<=> ssList(sF62) ),
introduced(definition,[new_symbols(definition,[spl66_12])],[avatar_definition]) ).
fof(f642,plain,
( ssList(sF62)
| ~ spl66_12 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f645,definition,
( spl66_13
<=> ssList(sF64) ),
introduced(definition,[new_symbols(definition,[spl66_13])],[avatar_definition]) ).
fof(f647,plain,
( ssList(sF64)
| ~ spl66_13 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f649,definition,
( spl66_14
<=> ssList(sF61) ),
introduced(definition,[new_symbols(definition,[spl66_14])],[avatar_definition]) ).
fof(f650,plain,
( ssList(sF61)
| ~ spl66_14 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f651,plain,
( ~ ssList(sF61)
| spl66_14 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f652,plain,
( ~ spl66_12
| spl66_13
| ~ spl66_14
| ~ spl66_11 ),
inference(avatar_split_clause,[],[f638,f616,f649,f645,f641]) ).
fof(f653,plain,
( ~ spl66_14
| spl66_12 ),
inference(avatar_split_clause,[],[f639,f641,f649]) ).
fof(f669,plain,
( ssList(sF63)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f545]) ).
fof(f670,plain,
( ssList(sF63)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f669,f502]) ).
fof(f672,plain,
( ssList(sF63)
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f670,f569]) ).
fof(f674,plain,
( ssList(sF61)
| ~ spl66_3
| ~ spl66_11 ),
inference(forward_demodulation,[],[f672,f626]) ).
fof(f677,plain,
( $false
| ~ spl66_3
| ~ spl66_11
| spl66_14 ),
inference(forward_subsumption_resolution,[],[f674,f651]) ).
fof(f678,plain,
( ~ spl66_3
| ~ spl66_11
| spl66_14 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f682,plain,
( sF64 = app(sF64,nil)
| ~ spl66_13 ),
inference(resolution,[],[f647,f482]) ).
fof(f686,plain,
( nil != sF61
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f541]) ).
fof(f689,plain,
( nil != sF61
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f686,f501]) ).
fof(f691,plain,
( nil != sF61
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f689,f569]) ).
fof(f731,plain,
( nil != sF62
| nil = sF61
| ~ ssList(sF61)
| ~ ssList(sK59) ),
inference(superposition,[],[f480,f543]) ).
fof(f735,plain,
( nil != sF64
| nil = sF61
| ~ ssList(sF61)
| ~ ssList(sF62)
| ~ spl66_11 ),
inference(superposition,[],[f480,f627]) ).
fof(f736,plain,
( nil != sK55
| nil = sK60
| ~ ssList(sK60)
| ~ ssList(sF64) ),
inference(superposition,[],[f480,f599]) ).
fof(f737,plain,
( nil = sK60
| ~ ssList(sK60)
| ~ ssList(sF64)
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f736,f631]) ).
fof(f738,plain,
( nil != sF64
| ~ ssList(sF61)
| ~ ssList(sF62)
| ~ spl66_3
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f735,f691]) ).
fof(f742,plain,
( nil != sF62
| ~ ssList(sF61)
| ~ ssList(sK59)
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f731,f691]) ).
fof(f743,plain,
( nil = sK60
| ~ ssList(sF64)
| spl66_1
| ~ spl66_3 ),
inference(forward_subsumption_resolution,[],[f737,f505]) ).
fof(f744,plain,
( nil != sF64
| ~ ssList(sF62)
| ~ spl66_3
| ~ spl66_11
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f738,f650]) ).
fof(f748,plain,
( nil != sF62
| ~ ssList(sK59)
| ~ spl66_3
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f742,f650]) ).
fof(f749,plain,
( nil = sK60
| spl66_1
| ~ spl66_3
| ~ spl66_13 ),
inference(forward_subsumption_resolution,[],[f743,f647]) ).
fof(f750,plain,
( nil != sF64
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f744,f642]) ).
fof(f762,definition,
( spl66_17
<=> nil = sK60 ),
introduced(definition,[new_symbols(definition,[spl66_17])],[avatar_definition]) ).
fof(f764,plain,
( nil = sK60
| ~ spl66_17 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f770,plain,
( nil != sF62
| ~ spl66_3
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f748,f504]) ).
fof(f771,plain,
( spl66_17
| spl66_1
| ~ spl66_3
| ~ spl66_13 ),
inference(avatar_split_clause,[],[f749,f645,f568,f559,f762]) ).
fof(f774,plain,
( sK55 = app(sF64,nil)
| ~ spl66_17 ),
inference(superposition,[],[f599,f764]) ).
fof(f775,plain,
( sK55 = sF64
| ~ spl66_13
| ~ spl66_17 ),
inference(forward_demodulation,[],[f774,f682]) ).
fof(f777,plain,
( nil = sF64
| spl66_1
| ~ spl66_3
| ~ spl66_13
| ~ spl66_17 ),
inference(forward_demodulation,[],[f775,f631]) ).
fof(f778,plain,
( $false
| spl66_1
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_17 ),
inference(forward_subsumption_resolution,[],[f777,f750]) ).
fof(f779,plain,
( spl66_1
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_17 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f780,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ ssList(sK55)
| ~ spl66_2 ),
inference(resolution,[],[f565,f306]) ).
fof(f781,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ spl66_2 ),
inference(forward_subsumption_resolution,[],[f780,f512]) ).
fof(f993,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK60)) = app(tl(X0),sK60)
| nil = X0 ),
inference(resolution,[],[f484,f505]) ).
fof(f994,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sF61)) = app(tl(X0),sF61)
| nil = X0 )
| ~ spl66_14 ),
inference(resolution,[],[f484,f650]) ).
fof(f1009,plain,
( tl(app(sF62,sF61)) = app(tl(sF62),sF61)
| nil = sF62
| ~ spl66_12
| ~ spl66_14 ),
inference(resolution,[],[f994,f642]) ).
fof(f1012,plain,
( tl(app(sF62,sF61)) = app(tl(sF62),sF61)
| ~ spl66_3
| ~ spl66_12
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f1009,f770]) ).
fof(f1026,plain,
( app(tl(sF62),sF61) = tl(sF64)
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(forward_demodulation,[],[f1012,f627]) ).
fof(f1101,plain,
( nil != tl(sF64)
| nil = sF61
| ~ ssList(sF61)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(superposition,[],[f480,f1026]) ).
fof(f1102,plain,
( ssList(tl(sF64))
| ~ ssList(sF61)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(superposition,[],[f401,f1026]) ).
fof(f1103,plain,
( ssList(tl(sF64))
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f1102,f650]) ).
fof(f1104,plain,
( nil != tl(sF64)
| ~ ssList(sF61)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f1101,f691]) ).
fof(f1108,plain,
( nil != tl(sF64)
| ~ ssList(tl(sF62))
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f1104,f650]) ).
fof(f1111,definition,
( spl66_26
<=> ssList(tl(sF64)) ),
introduced(definition,[new_symbols(definition,[spl66_26])],[avatar_definition]) ).
fof(f1113,plain,
( ssList(tl(sF64))
| ~ spl66_26 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1122,definition,
( spl66_28
<=> nil = tl(sF64) ),
introduced(definition,[new_symbols(definition,[spl66_28])],[avatar_definition]) ).
fof(f1124,plain,
( nil != tl(sF64)
| spl66_28 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1163,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl66_3 ),
inference(resolution,[],[f400,f569]) ).
fof(f1194,definition,
( spl66_30
<=> ssList(tl(sF62)) ),
introduced(definition,[new_symbols(definition,[spl66_30])],[avatar_definition]) ).
fof(f1196,plain,
( ~ ssList(tl(sF62))
| spl66_30 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1197,plain,
( ~ spl66_30
| spl66_26
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(avatar_split_clause,[],[f1103,f649,f641,f616,f568,f1111,f1194]) ).
fof(f1203,plain,
( ~ spl66_30
| ~ spl66_28
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14 ),
inference(avatar_split_clause,[],[f1108,f649,f641,f616,f568,f1122,f1194]) ).
fof(f1398,plain,
( nil = sF62
| ~ ssList(sF62)
| spl66_30 ),
inference(resolution,[],[f399,f1196]) ).
fof(f1419,plain,
( ~ ssList(sF62)
| ~ spl66_3
| ~ spl66_14
| spl66_30 ),
inference(forward_subsumption_resolution,[],[f1398,f770]) ).
fof(f1422,plain,
( $false
| ~ spl66_3
| ~ spl66_12
| ~ spl66_14
| spl66_30 ),
inference(forward_subsumption_resolution,[],[f1419,f642]) ).
fof(f1423,plain,
( ~ spl66_3
| ~ spl66_12
| ~ spl66_14
| spl66_30 ),
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1497,definition,
( spl66_34
<=> ssItem(sK10(sK55)) ),
introduced(definition,[new_symbols(definition,[spl66_34])],[avatar_definition]) ).
fof(f1498,plain,
( ssItem(sK10(sK55))
| ~ spl66_34 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1499,plain,
( ~ ssItem(sK10(sK55))
| spl66_34 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1517,plain,
( ~ singletonP(sK55)
| ~ ssList(sK55)
| spl66_34 ),
inference(resolution,[],[f1499,f307]) ).
fof(f1518,plain,
( ~ ssList(sK55)
| ~ spl66_2
| spl66_34 ),
inference(forward_subsumption_resolution,[],[f1517,f565]) ).
fof(f1519,plain,
( $false
| ~ spl66_2
| spl66_34 ),
inference(forward_subsumption_resolution,[],[f1518,f512]) ).
fof(f1520,plain,
( ~ spl66_2
| spl66_34 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1631,plain,
( nil = tl(cons(sK10(sK55),nil))
| ~ spl66_3
| ~ spl66_34 ),
inference(resolution,[],[f1498,f1163]) ).
fof(f1638,plain,
( nil = tl(sK55)
| ~ spl66_2
| ~ spl66_3
| ~ spl66_34 ),
inference(forward_demodulation,[],[f1631,f781]) ).
fof(f1703,plain,
( app(tl(sF64),sK60) = tl(app(sF64,sK60))
| nil = sF64
| ~ spl66_13 ),
inference(resolution,[],[f993,f647]) ).
fof(f1704,plain,
( app(tl(sF64),sK60) = tl(app(sF64,sK60))
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14 ),
inference(forward_subsumption_resolution,[],[f1703,f750]) ).
fof(f1712,plain,
( tl(sK55) = app(tl(sF64),sK60)
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14 ),
inference(forward_demodulation,[],[f1704,f599]) ).
fof(f1716,plain,
( nil = app(tl(sF64),sK60)
| ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_34 ),
inference(forward_demodulation,[],[f1712,f1638]) ).
fof(f1723,plain,
( nil != nil
| nil = tl(sF64)
| ~ ssList(sK60)
| ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_34 ),
inference(superposition,[],[f479,f1716]) ).
fof(f1727,plain,
( nil = tl(sF64)
| ~ ssList(sK60)
| ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_34 ),
inference(trivial_inequality_removal,[],[f1723]) ).
fof(f1729,plain,
( ~ ssList(sK60)
| ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| spl66_28
| ~ spl66_34 ),
inference(forward_subsumption_resolution,[],[f1727,f1124]) ).
fof(f1731,plain,
( ~ ssList(tl(sF64))
| ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| spl66_28
| ~ spl66_34 ),
inference(forward_subsumption_resolution,[],[f1729,f505]) ).
fof(f1734,plain,
( $false
| ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_26
| spl66_28
| ~ spl66_34 ),
inference(forward_subsumption_resolution,[],[f1731,f1113]) ).
fof(f1735,plain,
( ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_26
| spl66_28
| ~ spl66_34 ),
inference(avatar_contradiction_clause,[],[f1734]) ).
cnf(s1,plain,
( ~ spl66_1
| spl66_2 ),
inference(sat_conversion,[],[f566]) ).
cnf(s9,plain,
spl66_3,
inference(sat_conversion,[],[f596]) ).
cnf(s11,plain,
spl66_11,
inference(sat_conversion,[],[f622]) ).
cnf(s12,plain,
( ~ spl66_11
| ~ spl66_12
| spl66_13
| ~ spl66_14 ),
inference(sat_conversion,[],[f652]) ).
cnf(s13,plain,
( spl66_12
| ~ spl66_14 ),
inference(sat_conversion,[],[f653]) ).
cnf(s15,plain,
( ~ spl66_3
| ~ spl66_11
| spl66_14 ),
inference(sat_conversion,[],[f678]) ).
cnf(s18,plain,
( spl66_1
| ~ spl66_3
| ~ spl66_13
| spl66_17 ),
inference(sat_conversion,[],[f771]) ).
cnf(s19,plain,
( spl66_1
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_17 ),
inference(sat_conversion,[],[f779]) ).
cnf(s32,plain,
( ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14
| spl66_26
| ~ spl66_30 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s34,plain,
( ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_14
| ~ spl66_28
| ~ spl66_30 ),
inference(sat_conversion,[],[f1203]) ).
cnf(s42,plain,
( ~ spl66_3
| ~ spl66_12
| ~ spl66_14
| spl66_30 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s47,plain,
( ~ spl66_2
| spl66_34 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s49,plain,
( ~ spl66_2
| ~ spl66_3
| ~ spl66_11
| ~ spl66_12
| ~ spl66_13
| ~ spl66_14
| ~ spl66_26
| spl66_28
| ~ spl66_34 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s51,plain,
spl66_14,
inference(rat,[],[s15,s11,s9]) ).
cnf(s53,plain,
spl66_12,
inference(rat,[],[s13,s51]) ).
cnf(s54,plain,
spl66_30,
inference(rat,[],[s42,s51,s9,s53]) ).
cnf(s55,plain,
spl66_13,
inference(rat,[],[s12,s51,s11,s53]) ).
cnf(s56,plain,
~ spl66_28,
inference(rat,[],[s34,s54,s51,s9,s11,s53]) ).
cnf(s57,plain,
spl66_26,
inference(rat,[],[s32,s54,s51,s9,s11,s53]) ).
cnf(s61,plain,
spl66_1,
inference(rat,[],[s18,s19,s9,s55,s11,s51,s53]) ).
cnf(s62,plain,
spl66_2,
inference(rat,[],[s1,s61]) ).
cnf(s63,plain,
~ spl66_34,
inference(rat,[],[s49,s53,s56,s57,s51,s55,s9,s11,s62]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s47,s63,s62]) ).
fof(f1736,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC178+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 08:19:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.71/2.08 % (1430535)Detected formulas, will run a generic FOF schedule.
% 8.71/2.08 % (1430541)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=2404835237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.71/2.08 % (1430543)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3342355638:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.71/2.08 % (1430544)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1201972813:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.71/2.08 % (1430540)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=3357066805:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.71/2.08 % (1430546)dis-21_1_sil=8000:lcm=predicate:random_seed=4015247574: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)
% 8.71/2.08 % (1430542)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=267410931:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.71/2.08 % (1430545)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2177846750:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.71/2.08 % (1430543)Instruction limit reached!
% 8.71/2.08 % (1430543)------------------------------
% 8.71/2.08 % (1430543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430543)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430543)Termination reason: Instruction limit
% 8.71/2.08 % (1430543)Termination phase: Saturation
% 8.71/2.08 % (1430543)Time elapsed: 0.069 s
% 8.71/2.08 % (1430543)Peak memory usage: 89 MB
% 8.71/2.08 % (1430543)Instructions burned: 111 (million)
% 8.71/2.08 % (1430544)Instruction limit reached!
% 8.71/2.08 % (1430544)------------------------------
% 8.71/2.08 % (1430544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430544)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430544)Termination reason: Instruction limit
% 8.71/2.08 % (1430544)Termination phase: Saturation
% 8.71/2.08 % (1430544)Time elapsed: 0.070 s
% 8.71/2.08 % (1430544)Peak memory usage: 88 MB
% 8.71/2.08 % (1430544)Instructions burned: 119 (million)
% 8.71/2.08 % (1430546)Instruction limit reached!
% 8.71/2.08 % (1430546)------------------------------
% 8.71/2.08 % (1430546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430546)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430546)Termination reason: Instruction limit
% 8.71/2.08 % (1430546)Termination phase: Saturation
% 8.71/2.08 % (1430546)Time elapsed: 0.074 s
% 8.71/2.08 % (1430546)Peak memory usage: 90 MB
% 8.71/2.08 % (1430546)Instructions burned: 130 (million)
% 8.71/2.08 % (1430545)Instruction limit reached!
% 8.71/2.08 % (1430545)------------------------------
% 8.71/2.08 % (1430545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430545)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430545)Termination reason: Instruction limit
% 8.71/2.08 % (1430545)Termination phase: Saturation
% 8.71/2.08 % (1430545)Time elapsed: 0.094 s
% 8.71/2.08 % (1430545)Peak memory usage: 90 MB
% 8.71/2.08 % (1430545)Instructions burned: 139 (million)
% 8.71/2.08 % (1430554)lrs+10_1_sil=8000:sp=occurrence:random_seed=2314607049:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.71/2.08 % (1430555)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3362230017:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.71/2.08 % (1430556)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1408623643:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.71/2.08 % (1430557)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=3473108885:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.71/2.08 % (1430555)Instruction limit reached!
% 8.71/2.08 % (1430555)------------------------------
% 8.71/2.08 % (1430555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430555)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430555)Termination reason: Instruction limit
% 8.71/2.08 % (1430555)Termination phase: Saturation
% 8.71/2.08 % (1430555)Time elapsed: 0.072 s
% 8.71/2.08 % (1430555)Peak memory usage: 91 MB
% 8.71/2.08 % (1430555)Instructions burned: 159 (million)
% 8.71/2.08 % (1430557)Instruction limit reached!
% 8.71/2.08 % (1430557)------------------------------
% 8.71/2.08 % (1430557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430557)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430557)Termination reason: Instruction limit
% 8.71/2.08 % (1430557)Termination phase: Saturation
% 8.71/2.08 % (1430557)Time elapsed: 0.115 s
% 8.71/2.08 % (1430557)Peak memory usage: 94 MB
% 8.71/2.08 % (1430557)Instructions burned: 249 (million)
% 8.71/2.08 % (1430554)Instruction limit reached!
% 8.71/2.08 % (1430554)------------------------------
% 8.71/2.08 % (1430554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430554)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430554)Termination reason: Instruction limit
% 8.71/2.08 % (1430554)Termination phase: Saturation
% 8.71/2.08 % (1430554)Time elapsed: 0.169 s
% 8.71/2.08 % (1430554)Peak memory usage: 92 MB
% 8.71/2.08 % (1430554)Instructions burned: 286 (million)
% 8.71/2.08 % (1430556)Instruction limit reached!
% 8.71/2.08 % (1430556)------------------------------
% 8.71/2.08 % (1430556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430556)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430556)Termination reason: Instruction limit
% 8.71/2.08 % (1430556)Termination phase: Saturation
% 8.71/2.08 % (1430556)Time elapsed: 0.195 s
% 8.71/2.08 % (1430556)Peak memory usage: 91 MB
% 8.71/2.08 % (1430556)Instructions burned: 325 (million)
% 8.71/2.08 % (1430562)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=299223483:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.71/2.08 % (1430563)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=481746812:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.71/2.08 % (1430564)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2326367808:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.71/2.08 % (1430565)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1662796434:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.71/2.08 % (1430564)Instruction limit reached!
% 8.71/2.08 % (1430564)------------------------------
% 8.71/2.08 % (1430564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430564)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430564)Termination reason: Instruction limit
% 8.71/2.08 % (1430564)Termination phase: Saturation
% 8.71/2.08 % (1430564)Time elapsed: 0.077 s
% 8.71/2.08 % (1430564)Peak memory usage: 90 MB
% 8.71/2.08 % (1430564)Instructions burned: 114 (million)
% 8.71/2.08 % (1430562)Instruction limit reached!
% 8.71/2.08 % (1430562)------------------------------
% 8.71/2.08 % (1430562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430562)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430562)Termination reason: Instruction limit
% 8.71/2.08 % (1430562)Termination phase: Saturation
% 8.71/2.08 % (1430562)Time elapsed: 0.174 s
% 8.71/2.08 % (1430562)Peak memory usage: 90 MB
% 8.71/2.08 % (1430562)Instructions burned: 295 (million)
% 8.71/2.08 % (1430565)Instruction limit reached!
% 8.71/2.08 % (1430565)------------------------------
% 8.71/2.08 % (1430565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430565)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430565)Termination reason: Instruction limit
% 8.71/2.08 % (1430565)Termination phase: Saturation
% 8.71/2.08 % (1430565)Time elapsed: 0.064 s
% 8.71/2.08 % (1430565)Peak memory usage: 90 MB
% 8.71/2.08 % (1430565)Instructions burned: 128 (million)
% 8.71/2.08 % (1430571)lrs+10_1_sil=8000:sp=occurrence:random_seed=591703511:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.71/2.08 % (1430570)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3077968985:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.71/2.08 % (1430540)First to succeed.
% 8.71/2.08 % (1430540)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1430535"
% 8.71/2.08 % (1430572)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=205930172:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.71/2.08 % (1430570)Instruction limit reached!
% 8.71/2.08 % (1430570)------------------------------
% 8.71/2.08 % (1430570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.08 % (1430570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.08 % (1430570)CaDiCaL version: 2.1.3
% 8.71/2.08 % (1430570)Termination reason: Instruction limit
% 8.71/2.08 % (1430570)Termination phase: Saturation
% 8.71/2.08 % (1430570)Time elapsed: 0.067 s
% 8.71/2.08 % (1430570)Peak memory usage: 89 MB
% 8.71/2.08 % (1430570)Instructions burned: 116 (million)
% 8.71/2.08 % (1430576)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1761704963:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.71/2.08 % (1430540)Refutation found. Thanks to Tanya!
% 8.71/2.08 % SZS status Theorem for theBenchmark
% 8.71/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 9.19/2.27 % (1430540)------------------------------
% 9.19/2.27 % (1430540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.27 % (1430540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.27 % (1430540)CaDiCaL version: 2.1.3
% 9.19/2.27 % (1430540)Termination reason: Refutation
% 9.19/2.27 % (1430540)Time elapsed: 0.792 s
% 9.19/2.27 % (1430540)Peak memory usage: 132 MB
% 9.19/2.27 % (1430540)Instructions burned: 1215 (million)
% 9.19/2.27 % (1430540)------------------------------
% 9.19/2.27 % (1430540)------------------------------
% 9.19/2.27 % (1430535)Success in time 1.223 s
% 9.19/2.27 % Vampire exiting
%------------------------------------------------------------------------------