%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC253+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 : n011.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 01:03:09 PM UTC 2026
% Result : Theorem 3.78s 1.15s
% Output : Refutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 214 ( 26 unt; 15 def)
% Number of atoms : 708 ( 176 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 839 ( 345 ~; 385 |; 56 &)
% ( 19 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn 123 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
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(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
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(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
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
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| singletonP(X0) )
& ( ~ neq(X1,nil)
| 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
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| singletonP(X0) )
& ( ~ neq(X1,nil)
| 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(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
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(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
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
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ~ singletonP(X0) )
| ( neq(X1,nil)
& ~ 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
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ~ singletonP(X0) )
| ( neq(X1,nil)
& ~ 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(f274,plain,
! [X0] :
( nil = X0
| ( ssList(sK49(X0))
& ssItem(sK50(X0))
& cons(sK50(X0),sK49(X0)) = X0 )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X1,sK49(X0)),skolemize(X2,sK50(X0))],[f124]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ( ( neq(sK54,nil)
& ! [X4] :
( ~ ssList(X4)
| sK56 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(sK56) != X5
| app(sK55,X5) != X4
| ~ neq(nil,sK56) ) )
& ~ singletonP(sK53) )
| ( neq(sK54,nil)
& ~ neq(sK56,nil) ) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f308,plain,
! [X0,X1] :
( singletonP(X0)
| ~ ssItem(X1)
| cons(X1,nil) != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f386,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f390,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f393,plain,
! [X0] :
( cons(sK50(X0),sK49(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f394,plain,
! [X0] :
( ssItem(sK50(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f395,plain,
! [X0] :
( ssList(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f397,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f398,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f403,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f474,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f475,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f484,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f498,plain,
ssList(sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f499,plain,
ssList(sK56),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ singletonP(sK53)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
! [X4,X5] :
( ~ ssList(X4)
| sK56 = X4
| ~ ssList(X5)
| tl(sK56) != X5
| app(sK55,X5) != X4
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( neq(sK54,nil)
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f522,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f386]) ).
fof(f537,plain,
! [X4] :
( ~ ssList(X4)
| sK56 = X4
| ~ ssList(tl(sK56))
| app(sK55,tl(sK56)) != X4
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(equality_resolution,[],[f502]) ).
fof(f538,plain,
( ~ ssList(app(sK55,tl(sK56)))
| sK56 = app(sK55,tl(sK56))
| ~ ssList(tl(sK56))
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(equality_resolution,[],[f537]) ).
fof(f539,plain,
neq(sK54,nil),
inference(duplicate_literal_removal,[],[f505]) ).
fof(f544,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f522]) ).
fof(f548,definition,
( spl57_1
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f549,plain,
( neq(sK56,nil)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl57_2
<=> singletonP(sK53) ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f554,plain,
( ~ singletonP(sK53)
| spl57_2 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f500,f552,f548]) ).
fof(f557,definition,
( spl57_3
<=> neq(sK54,nil) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f559,plain,
( neq(sK54,nil)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f562,definition,
( spl57_4
<=> neq(nil,sK56) ),
introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).
fof(f563,plain,
( neq(nil,sK56)
| ~ spl57_4 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f564,plain,
( ~ neq(nil,sK56)
| spl57_4 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl57_5
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).
fof(f567,plain,
( ssList(tl(sK56))
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f568,plain,
( ~ ssList(tl(sK56))
| spl57_5 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f570,definition,
( spl57_6
<=> sK56 = app(sK55,tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_6])],[avatar_definition]) ).
fof(f572,plain,
( sK56 = app(sK55,tl(sK56))
| ~ spl57_6 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl57_7
<=> ssList(app(sK55,tl(sK56))) ),
introduced(definition,[new_symbols(definition,[spl57_7])],[avatar_definition]) ).
fof(f576,plain,
( ~ ssList(app(sK55,tl(sK56)))
| spl57_7 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,plain,
( ~ spl57_1
| ~ spl57_4
| ~ spl57_5
| spl57_6
| ~ spl57_7 ),
inference(avatar_split_clause,[],[f538,f574,f570,f566,f562,f548]) ).
fof(f580,plain,
spl57_3,
inference(avatar_split_clause,[],[f539,f557]) ).
fof(f582,definition,
( spl57_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl57_8])],[avatar_definition]) ).
fof(f583,plain,
( ssList(nil)
| ~ spl57_8 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f615,plain,
spl57_8,
inference(avatar_split_clause,[],[f389,f582]) ).
fof(f618,plain,
( neq(sK56,nil)
| ~ spl57_3 ),
inference(forward_demodulation,[],[f559,f507]) ).
fof(f621,plain,
( ~ singletonP(sK55)
| spl57_2 ),
inference(forward_demodulation,[],[f554,f506]) ).
fof(f622,plain,
( spl57_1
| ~ spl57_3 ),
inference(avatar_split_clause,[],[f618,f557,f548]) ).
fof(f658,definition,
( spl57_17
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_17])],[avatar_definition]) ).
fof(f659,plain,
( nil != sK56
| spl57_17 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f660,plain,
( nil = sK56
| ~ spl57_17 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,plain,
( nil = sK56
| ~ ssList(sK56)
| ~ ssList(nil)
| spl57_4 ),
inference(resolution,[],[f387,f564]) ).
fof(f667,plain,
( nil = sK56
| ~ ssList(nil)
| spl57_4 ),
inference(forward_subsumption_resolution,[],[f662,f499]) ).
fof(f668,plain,
( nil = sK56
| spl57_4
| ~ spl57_8 ),
inference(forward_subsumption_resolution,[],[f667,f583]) ).
fof(f669,plain,
( spl57_17
| spl57_4
| ~ spl57_8 ),
inference(avatar_split_clause,[],[f668,f582,f562,f658]) ).
fof(f670,plain,
( ~ ssList(tl(sK56))
| ~ ssList(sK55)
| spl57_7 ),
inference(resolution,[],[f576,f401]) ).
fof(f671,plain,
( ~ ssList(tl(sK56))
| spl57_7 ),
inference(forward_subsumption_resolution,[],[f670,f498]) ).
fof(f672,plain,
( ~ spl57_5
| spl57_7 ),
inference(avatar_split_clause,[],[f671,f574,f566]) ).
fof(f673,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_5 ),
inference(resolution,[],[f568,f399]) ).
fof(f674,plain,
( nil = sK56
| spl57_5 ),
inference(forward_subsumption_resolution,[],[f673,f499]) ).
fof(f675,plain,
( spl57_17
| spl57_5 ),
inference(avatar_split_clause,[],[f674,f566,f658]) ).
fof(f678,plain,
( neq(nil,nil)
| ~ spl57_4
| ~ spl57_17 ),
inference(superposition,[],[f563,f660]) ).
fof(f679,plain,
( neq(nil,nil)
| ~ spl57_1
| ~ spl57_17 ),
inference(superposition,[],[f549,f660]) ).
fof(f685,plain,
( ~ ssList(nil)
| ~ spl57_4
| ~ spl57_17 ),
inference(resolution,[],[f678,f544]) ).
fof(f686,plain,
( $false
| ~ spl57_4
| ~ spl57_8
| ~ spl57_17 ),
inference(forward_subsumption_resolution,[],[f685,f583]) ).
fof(f687,plain,
( ~ spl57_4
| ~ spl57_8
| ~ spl57_17 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f688,plain,
( ~ neq(nil,nil)
| spl57_4
| ~ spl57_17 ),
inference(forward_demodulation,[],[f564,f660]) ).
fof(f693,plain,
( $false
| ~ spl57_1
| spl57_4
| ~ spl57_17 ),
inference(forward_subsumption_resolution,[],[f679,f688]) ).
fof(f694,plain,
( ~ spl57_1
| spl57_4
| ~ spl57_17 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f711,plain,
! [X0] :
( tl(X0) = sK49(X0)
| ~ ssItem(sK50(X0))
| ~ ssList(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f400,f393]) ).
fof(f712,plain,
! [X0] :
( hd(X0) = sK50(X0)
| ~ ssItem(sK50(X0))
| ~ ssList(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f398,f393]) ).
fof(f719,plain,
! [X0] :
( hd(X0) = sK50(X0)
| ~ ssList(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f712,f394]) ).
fof(f720,plain,
! [X0] :
( tl(X0) = sK49(X0)
| ~ ssList(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f711,f394]) ).
fof(f723,plain,
! [X0] :
( hd(X0) = sK50(X0)
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f719,f395]) ).
fof(f724,plain,
! [X0] :
( tl(X0) = sK49(X0)
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f720,f395]) ).
fof(f729,plain,
! [X0] :
( tl(X0) != X0
| ~ ssItem(hd(X0))
| ~ ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f390,f474]) ).
fof(f731,plain,
! [X0] :
( tl(X0) != X0
| ~ ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f729,f397]) ).
fof(f735,plain,
! [X0] :
( tl(X0) != X0
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f731,f399]) ).
fof(f792,plain,
! [X0] :
( cons(sK50(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f393,f724]) ).
fof(f795,plain,
! [X0] :
( cons(sK50(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f792]) ).
fof(f897,definition,
( spl57_21
<=> sK56 = tl(sK56) ),
introduced(definition,[new_symbols(definition,[spl57_21])],[avatar_definition]) ).
fof(f899,plain,
( sK56 = tl(sK56)
| ~ spl57_21 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f1025,definition,
( spl57_26
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_26])],[avatar_definition]) ).
fof(f1026,plain,
( nil != sK55
| spl57_26 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1027,plain,
( nil = sK55
| ~ spl57_26 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1035,plain,
( sK56 = app(nil,tl(sK56))
| ~ spl57_6
| ~ spl57_26 ),
inference(superposition,[],[f572,f1027]) ).
fof(f1145,plain,
! [X0,X1] :
( app(X1,X0) != X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f475,f403]) ).
fof(f1150,plain,
! [X0,X1] :
( app(X1,X0) != X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f1145]) ).
fof(f1160,plain,
( ! [X0,X1] :
( app(X1,X0) != X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl57_8 ),
inference(forward_subsumption_resolution,[],[f1150,f583]) ).
fof(f1222,plain,
( tl(sK56) = app(tl(sK55),tl(sK56))
| nil = sK55
| ~ ssList(tl(sK56))
| ~ ssList(sK55)
| ~ spl57_6 ),
inference(superposition,[],[f484,f572]) ).
fof(f1241,plain,
( sK56 = tl(sK56)
| ~ ssList(tl(sK56))
| ~ spl57_6
| ~ spl57_26 ),
inference(superposition,[],[f403,f1035]) ).
fof(f1254,plain,
( sK56 = tl(sK56)
| ~ spl57_5
| ~ spl57_6
| ~ spl57_26 ),
inference(forward_subsumption_resolution,[],[f1241,f567]) ).
fof(f1260,plain,
( spl57_21
| ~ spl57_5
| ~ spl57_6
| ~ spl57_26 ),
inference(avatar_split_clause,[],[f1254,f1025,f570,f566,f897]) ).
fof(f1270,plain,
( tl(sK56) = app(tl(sK55),tl(sK56))
| nil = sK55
| ~ ssList(sK55)
| ~ spl57_5
| ~ spl57_6 ),
inference(forward_subsumption_resolution,[],[f1222,f567]) ).
fof(f1272,plain,
( tl(sK56) = app(tl(sK55),tl(sK56))
| nil = sK55
| ~ spl57_5
| ~ spl57_6 ),
inference(forward_subsumption_resolution,[],[f1270,f498]) ).
fof(f1279,definition,
( spl57_33
<=> tl(sK56) = app(tl(sK55),tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_33])],[avatar_definition]) ).
fof(f1281,plain,
( tl(sK56) = app(tl(sK55),tl(sK56))
| ~ spl57_33 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1282,plain,
( spl57_26
| spl57_33
| ~ spl57_5
| ~ spl57_6 ),
inference(avatar_split_clause,[],[f1272,f570,f566,f1279,f1025]) ).
fof(f1411,plain,
( sK56 != sK56
| nil = sK56
| ~ ssList(sK56)
| ~ spl57_21 ),
inference(superposition,[],[f735,f899]) ).
fof(f1414,plain,
( nil = sK56
| ~ ssList(sK56)
| ~ spl57_21 ),
inference(trivial_inequality_removal,[],[f1411]) ).
fof(f1416,plain,
( ~ ssList(sK56)
| spl57_17
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f1414,f659]) ).
fof(f1421,plain,
( $false
| spl57_17
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f1416,f499]) ).
fof(f1422,plain,
( spl57_17
| ~ spl57_21 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1727,definition,
( spl57_36
<=> ssList(tl(sK55)) ),
introduced(definition,[new_symbols(definition,[spl57_36])],[avatar_definition]) ).
fof(f1728,plain,
( ssList(tl(sK55))
| ~ spl57_36 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1729,plain,
( ~ ssList(tl(sK55))
| spl57_36 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1792,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_36 ),
inference(resolution,[],[f1729,f399]) ).
fof(f1793,plain,
( ~ ssList(sK55)
| spl57_26
| spl57_36 ),
inference(forward_subsumption_resolution,[],[f1792,f1026]) ).
fof(f1794,plain,
( $false
| spl57_26
| spl57_36 ),
inference(forward_subsumption_resolution,[],[f1793,f498]) ).
fof(f1795,plain,
( spl57_26
| spl57_36 ),
inference(avatar_contradiction_clause,[],[f1794]) ).
fof(f2043,definition,
( spl57_50
<=> nil = tl(sK55) ),
introduced(definition,[new_symbols(definition,[spl57_50])],[avatar_definition]) ).
fof(f2045,plain,
( nil = tl(sK55)
| ~ spl57_50 ),
inference(avatar_component_clause,[],[f2043]) ).
fof(f2077,plain,
( sK55 = cons(sK50(sK55),nil)
| nil = sK55
| ~ ssList(sK55)
| ~ spl57_50 ),
inference(superposition,[],[f795,f2045]) ).
fof(f2082,plain,
( sK55 = cons(sK50(sK55),nil)
| ~ ssList(sK55)
| spl57_26
| ~ spl57_50 ),
inference(forward_subsumption_resolution,[],[f2077,f1026]) ).
fof(f2086,plain,
( sK55 = cons(sK50(sK55),nil)
| spl57_26
| ~ spl57_50 ),
inference(forward_subsumption_resolution,[],[f2082,f498]) ).
fof(f2432,plain,
( singletonP(sK55)
| ~ ssItem(sK50(sK55))
| ~ ssList(sK55)
| spl57_26
| ~ spl57_50 ),
inference(superposition,[],[f510,f2086]) ).
fof(f2466,definition,
( spl57_69
<=> ssItem(sK50(sK55)) ),
introduced(definition,[new_symbols(definition,[spl57_69])],[avatar_definition]) ).
fof(f2468,plain,
( ~ ssItem(sK50(sK55))
| spl57_69 ),
inference(avatar_component_clause,[],[f2466]) ).
fof(f2475,plain,
( ~ ssItem(sK50(sK55))
| ~ ssList(sK55)
| spl57_2
| spl57_26
| ~ spl57_50 ),
inference(forward_subsumption_resolution,[],[f2432,f621]) ).
fof(f2551,plain,
( ~ ssItem(sK50(sK55))
| spl57_2
| spl57_26
| ~ spl57_50 ),
inference(forward_subsumption_resolution,[],[f2475,f498]) ).
fof(f2558,plain,
( ~ spl57_69
| spl57_2
| spl57_26
| ~ spl57_50 ),
inference(avatar_split_clause,[],[f2551,f2043,f1025,f552,f2466]) ).
fof(f2584,plain,
( ~ ssItem(hd(sK55))
| nil = sK55
| ~ ssList(sK55)
| spl57_69 ),
inference(superposition,[],[f2468,f723]) ).
fof(f2585,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_69 ),
inference(forward_subsumption_resolution,[],[f2584,f397]) ).
fof(f2587,plain,
( ~ ssList(sK55)
| spl57_26
| spl57_69 ),
inference(forward_subsumption_resolution,[],[f2585,f1026]) ).
fof(f2590,plain,
( $false
| spl57_26
| spl57_69 ),
inference(forward_subsumption_resolution,[],[f2587,f498]) ).
fof(f2591,plain,
( spl57_26
| spl57_69 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f3033,plain,
( tl(sK56) != tl(sK56)
| nil = tl(sK55)
| ~ ssList(tl(sK55))
| ~ ssList(tl(sK56))
| ~ spl57_8
| ~ spl57_33 ),
inference(superposition,[],[f1160,f1281]) ).
fof(f3044,plain,
( nil = tl(sK55)
| ~ ssList(tl(sK55))
| ~ ssList(tl(sK56))
| ~ spl57_8
| ~ spl57_33 ),
inference(trivial_inequality_removal,[],[f3033]) ).
fof(f3054,plain,
( nil = tl(sK55)
| ~ ssList(tl(sK56))
| ~ spl57_8
| ~ spl57_33
| ~ spl57_36 ),
inference(forward_subsumption_resolution,[],[f3044,f1728]) ).
fof(f3061,plain,
( nil = tl(sK55)
| ~ spl57_5
| ~ spl57_8
| ~ spl57_33
| ~ spl57_36 ),
inference(forward_subsumption_resolution,[],[f3054,f567]) ).
fof(f3064,plain,
( spl57_50
| ~ spl57_5
| ~ spl57_8
| ~ spl57_33
| ~ spl57_36 ),
inference(avatar_split_clause,[],[f3061,f1727,f1279,f582,f566,f2043]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f555]) ).
cnf(s3,plain,
( ~ spl57_1
| ~ spl57_4
| ~ spl57_5
| spl57_6
| ~ spl57_7 ),
inference(sat_conversion,[],[f577]) ).
cnf(s6,plain,
spl57_3,
inference(sat_conversion,[],[f580]) ).
cnf(s15,plain,
spl57_8,
inference(sat_conversion,[],[f615]) ).
cnf(s17,plain,
( spl57_1
| ~ spl57_3 ),
inference(sat_conversion,[],[f622]) ).
cnf(s19,plain,
( spl57_4
| ~ spl57_8
| spl57_17 ),
inference(sat_conversion,[],[f669]) ).
cnf(s20,plain,
( ~ spl57_5
| spl57_7 ),
inference(sat_conversion,[],[f672]) ).
cnf(s21,plain,
( spl57_5
| spl57_17 ),
inference(sat_conversion,[],[f675]) ).
cnf(s22,plain,
( ~ spl57_4
| ~ spl57_8
| ~ spl57_17 ),
inference(sat_conversion,[],[f687]) ).
cnf(s23,plain,
( ~ spl57_1
| spl57_4
| ~ spl57_17 ),
inference(sat_conversion,[],[f694]) ).
cnf(s33,plain,
( ~ spl57_5
| ~ spl57_6
| spl57_21
| ~ spl57_26 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s37,plain,
( ~ spl57_5
| ~ spl57_6
| spl57_26
| spl57_33 ),
inference(sat_conversion,[],[f1282]) ).
cnf(s42,plain,
( spl57_17
| ~ spl57_21 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s53,plain,
( spl57_26
| spl57_36 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s116,plain,
( spl57_2
| spl57_26
| ~ spl57_50
| ~ spl57_69 ),
inference(sat_conversion,[],[f2558]) ).
cnf(s118,plain,
( spl57_26
| spl57_69 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s141,plain,
( ~ spl57_5
| ~ spl57_8
| ~ spl57_33
| ~ spl57_36
| spl57_50 ),
inference(sat_conversion,[],[f3064]) ).
cnf(s147,plain,
spl57_1,
inference(rat,[],[s17,s6]) ).
cnf(s148,plain,
( ~ spl57_4
| ~ spl57_5
| spl57_6
| ~ spl57_7 ),
inference(rat,[],[s3,s147]) ).
cnf(s149,plain,
~ spl57_2,
inference(rat,[],[s1,s147]) ).
cnf(s150,plain,
spl57_4,
inference(rat,[],[s19,s23,s15,s147]) ).
cnf(s151,plain,
~ spl57_17,
inference(rat,[],[s22,s15,s150]) ).
cnf(s152,plain,
~ spl57_21,
inference(rat,[],[s42,s151]) ).
cnf(s153,plain,
spl57_5,
inference(rat,[],[s21,s151]) ).
cnf(s155,plain,
spl57_7,
inference(rat,[],[s20,s153]) ).
cnf(s156,plain,
spl57_6,
inference(rat,[],[s148,s155,s150,s153]) ).
cnf(s158,plain,
~ spl57_26,
inference(rat,[],[s33,s153,s152,s156]) ).
cnf(s161,plain,
spl57_69,
inference(rat,[],[s118,s158]) ).
cnf(s162,plain,
~ spl57_50,
inference(rat,[],[s116,s161,s149,s158]) ).
cnf(s164,plain,
spl57_36,
inference(rat,[],[s53,s158]) ).
cnf(s165,plain,
spl57_33,
inference(rat,[],[s37,s156,s153,s158]) ).
cnf(s170,plain,
$false,
inference(rat,[],[s141,s153,s164,s15,s162,s165]) ).
fof(f3066,plain,
$false,
inference(avatar_sat_refutation,[],[s170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC253+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.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 08:42:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.78/1.15 % (3254500)Detected formulas, will run a generic FOF schedule.
% 3.78/1.15 % (3254505)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=2705566179:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.78/1.15 % (3254510)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1017718218:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.78/1.15 % (3254507)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=3194049211:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.78/1.15 % (3254509)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1911432750:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.78/1.15 % (3254511)dis-21_1_sil=8000:lcm=predicate:random_seed=3433642328: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)
% 3.78/1.15 % (3254508)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3597875737:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.78/1.15 % (3254506)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=2383179602:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.78/1.15 % (3254510)First to succeed.
% 3.78/1.15 % (3254510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3254500"
% 3.78/1.15 % (3254508)Instruction limit reached!
% 3.78/1.15 % (3254508)------------------------------
% 3.78/1.15 % (3254508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.15 % (3254508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.15 % (3254508)CaDiCaL version: 2.1.3
% 3.78/1.15 % (3254508)Termination reason: Instruction limit
% 3.78/1.15 % (3254508)Termination phase: Saturation
% 3.78/1.15 % (3254508)Time elapsed: 0.066 s
% 3.78/1.15 % (3254508)Peak memory usage: 89 MB
% 3.78/1.15 % (3254508)Instructions burned: 109 (million)
% 3.78/1.15 % (3254509)Instruction limit reached!
% 3.78/1.15 % (3254509)------------------------------
% 3.78/1.15 % (3254509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.15 % (3254509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.15 % (3254509)CaDiCaL version: 2.1.3
% 3.78/1.15 % (3254509)Termination reason: Instruction limit
% 3.78/1.15 % (3254509)Termination phase: Saturation
% 3.78/1.15 % (3254509)Time elapsed: 0.067 s
% 3.78/1.15 % (3254509)Peak memory usage: 88 MB
% 3.78/1.15 % (3254509)Instructions burned: 119 (million)
% 3.78/1.15 % (3254511)Instruction limit reached!
% 3.78/1.15 % (3254511)------------------------------
% 3.78/1.15 % (3254511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.15 % (3254511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.15 % (3254511)CaDiCaL version: 2.1.3
% 3.78/1.15 % (3254511)Termination reason: Instruction limit
% 3.78/1.15 % (3254511)Termination phase: Saturation
% 3.78/1.15 % (3254511)Time elapsed: 0.070 s
% 3.78/1.15 % (3254511)Peak memory usage: 90 MB
% 3.78/1.15 % (3254511)Instructions burned: 129 (million)
% 3.78/1.15 % (3254520)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3792430767:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.78/1.15 % (3254521)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2888203222:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.78/1.15 % (3254519)lrs+10_1_sil=8000:sp=occurrence:random_seed=2281669385:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.78/1.15 % (3254520)Instruction limit reached!
% 3.78/1.15 % (3254520)------------------------------
% 3.78/1.15 % (3254520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.15 % (3254520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.15 % (3254520)CaDiCaL version: 2.1.3
% 3.78/1.15 % (3254520)Termination reason: Instruction limit
% 3.78/1.15 % (3254520)Termination phase: Saturation
% 3.78/1.15 % (3254520)Time elapsed: 0.075 s
% 3.78/1.15 % (3254520)Peak memory usage: 91 MB
% 3.78/1.15 % (3254520)Instructions burned: 159 (million)
% 3.78/1.15 % (3254510)Refutation found. Thanks to Tanya!
% 3.78/1.15 % SZS status Theorem for theBenchmark
% 3.78/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 4.14/1.35 % (3254510)------------------------------
% 4.14/1.35 % (3254510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.35 % (3254510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.35 % (3254510)CaDiCaL version: 2.1.3
% 4.14/1.35 % (3254510)Termination reason: Refutation
% 4.14/1.35 % (3254510)Time elapsed: 0.063 s
% 4.14/1.35 % (3254510)Peak memory usage: 91 MB
% 4.14/1.35 % (3254510)Instructions burned: 96 (million)
% 4.14/1.35 % (3254510)------------------------------
% 4.14/1.35 % (3254510)------------------------------
% 4.14/1.35 % (3254500)Success in time 0.499 s
% 4.14/1.35 % Vampire exiting
%------------------------------------------------------------------------------