%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC125+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 : n010.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 01:02:34 PM UTC 2026
% Result : Theorem 6.53s 1.97s
% Output : Refutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 175 ( 31 unt; 13 def)
% Number of atoms : 600 ( 79 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 732 ( 307 ~; 318 |; 62 &)
% ( 19 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 93 !; 22 ?)
% 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(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(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(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ segmentP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ segmentP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ),
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(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(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(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(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(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f182,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
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(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& segmentP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& 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)
& segmentP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& 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(f246,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& neq(sK54,nil)
& segmentP(sK56,sK55)
& strictorderedP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ segmentP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ strictorderedP(X4) )
& ( ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) )
& 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(f318,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
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(f397,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f420,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f442,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f458,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f474,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
! [X4] :
( ~ segmentP(sK56,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4)
| ~ segmentP(X4,sK55)
| ~ strictorderedP(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
neq(sK54,nil),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
neq(sK56,nil),
inference(definition_unfolding,[],[f504,f506]) ).
fof(f508,plain,
( ~ neq(sK55,nil)
| ~ segmentP(sK56,sK55) ),
inference(definition_unfolding,[],[f500,f505,f506,f505]) ).
fof(f509,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f506]) ).
fof(f510,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f505]) ).
fof(f513,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f516,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f318]) ).
fof(f546,definition,
( spl57_1
<=> segmentP(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f550,definition,
( spl57_2
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f552,plain,
( ~ neq(sK55,nil)
| spl57_2 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f508,f550,f546]) ).
fof(f554,plain,
spl57_1,
inference(avatar_split_clause,[],[f503,f546]) ).
fof(f556,definition,
( spl57_3
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f557,plain,
( ssList(nil)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl57_4
<=> ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).
fof(f561,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl57_4 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
spl57_4,
inference(avatar_split_clause,[],[f458,f560]) ).
fof(f584,plain,
spl57_3,
inference(avatar_split_clause,[],[f389,f556]) ).
fof(f588,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl57_2 ),
inference(resolution,[],[f387,f552]) ).
fof(f589,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_2
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f588,f557]) ).
fof(f590,plain,
( nil = sK55
| spl57_2
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f589,f510]) ).
fof(f592,plain,
( ~ neq(nil,nil)
| spl57_2
| ~ spl57_3 ),
inference(superposition,[],[f552,f590]) ).
fof(f656,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f509]) ).
fof(f658,definition,
( spl57_11
<=> sK56 = cons(hd(sK56),tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_11])],[avatar_definition]) ).
fof(f660,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| ~ spl57_11 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl57_12
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_12])],[avatar_definition]) ).
fof(f663,plain,
( nil != sK56
| spl57_12 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( nil = sK56
| ~ spl57_12 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl57_11
| spl57_12 ),
inference(avatar_split_clause,[],[f656,f662,f658]) ).
fof(f672,definition,
( spl57_13
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_13])],[avatar_definition]) ).
fof(f673,plain,
( ssList(tl(sK56))
| ~ spl57_13 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f674,plain,
( ~ ssList(tl(sK56))
| spl57_13 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f676,definition,
( spl57_14
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).
fof(f677,plain,
( ssItem(hd(sK56))
| ~ spl57_14 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
( ~ ssItem(hd(sK56))
| spl57_14 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f692,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_13 ),
inference(resolution,[],[f399,f674]) ).
fof(f697,plain,
( nil = sK56
| spl57_13 ),
inference(forward_subsumption_resolution,[],[f692,f509]) ).
fof(f698,plain,
( spl57_12
| spl57_13 ),
inference(avatar_split_clause,[],[f697,f672,f662]) ).
fof(f700,plain,
( neq(nil,nil)
| ~ spl57_12 ),
inference(superposition,[],[f507,f664]) ).
fof(f713,plain,
( $false
| spl57_2
| ~ spl57_3
| ~ spl57_12 ),
inference(forward_subsumption_resolution,[],[f700,f592]) ).
fof(f714,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_12 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f719,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_13 ),
inference(resolution,[],[f673,f477]) ).
fof(f731,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_14 ),
inference(resolution,[],[f678,f397]) ).
fof(f732,plain,
( ~ ssList(sK56)
| spl57_12
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f731,f663]) ).
fof(f733,plain,
( $false
| spl57_12
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f732,f509]) ).
fof(f734,plain,
( spl57_12
| spl57_14 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f736,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_13
| ~ spl57_14 ),
inference(resolution,[],[f719,f677]) ).
fof(f737,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14 ),
inference(forward_demodulation,[],[f736,f660]) ).
fof(f742,definition,
( spl57_20
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_20])],[avatar_definition]) ).
fof(f743,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_20 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f744,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_20 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f749,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_20 ),
inference(resolution,[],[f744,f388]) ).
fof(f750,plain,
( ~ ssList(nil)
| ~ spl57_14
| spl57_20 ),
inference(forward_subsumption_resolution,[],[f749,f677]) ).
fof(f751,plain,
( $false
| ~ spl57_3
| ~ spl57_14
| spl57_20 ),
inference(forward_subsumption_resolution,[],[f750,f557]) ).
fof(f752,plain,
( ~ spl57_3
| ~ spl57_14
| spl57_20 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f757,plain,
( cons(hd(sK56),nil) = app(nil,cons(hd(sK56),nil))
| ~ spl57_20 ),
inference(resolution,[],[f743,f403]) ).
fof(f763,definition,
( spl57_23
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_23])],[avatar_definition]) ).
fof(f765,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_23 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f768,plain,
( ! [X0] :
( segmentP(app(cons(hd(sK56),nil),X0),cons(hd(sK56),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(app(cons(hd(sK56),nil),X0)) )
| ~ spl57_20 ),
inference(superposition,[],[f516,f757]) ).
fof(f771,plain,
( ! [X0] :
( segmentP(app(cons(hd(sK56),nil),X0),cons(hd(sK56),nil))
| ~ ssList(X0)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(app(cons(hd(sK56),nil),X0)) )
| ~ spl57_3
| ~ spl57_20 ),
inference(forward_subsumption_resolution,[],[f768,f557]) ).
fof(f773,plain,
( ! [X0] :
( segmentP(app(cons(hd(sK56),nil),X0),cons(hd(sK56),nil))
| ~ ssList(X0)
| ~ ssList(app(cons(hd(sK56),nil),X0)) )
| ~ spl57_3
| ~ spl57_20 ),
inference(forward_subsumption_resolution,[],[f771,f743]) ).
fof(f775,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(sK56)
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(superposition,[],[f773,f737]) ).
fof(f776,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| ~ ssList(sK56)
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(forward_subsumption_resolution,[],[f775,f673]) ).
fof(f777,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(forward_subsumption_resolution,[],[f776,f509]) ).
fof(f778,plain,
( ~ neq(sK55,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ strictorderedP(cons(hd(sK56),nil))
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(resolution,[],[f777,f501]) ).
fof(f779,plain,
( ~ neq(sK55,cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ strictorderedP(cons(hd(sK56),nil))
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(forward_subsumption_resolution,[],[f778,f743]) ).
fof(f780,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ strictorderedP(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(forward_demodulation,[],[f779,f590]) ).
fof(f781,plain,
( ~ segmentP(cons(hd(sK56),nil),nil)
| ~ neq(nil,cons(hd(sK56),nil))
| ~ strictorderedP(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(forward_demodulation,[],[f780,f590]) ).
fof(f783,definition,
( spl57_24
<=> strictorderedP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_24])],[avatar_definition]) ).
fof(f785,plain,
( ~ strictorderedP(cons(hd(sK56),nil))
| spl57_24 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f787,definition,
( spl57_25
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_25])],[avatar_definition]) ).
fof(f789,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_25 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f791,definition,
( spl57_26
<=> segmentP(cons(hd(sK56),nil),nil) ),
introduced(definition,[new_symbols(definition,[spl57_26])],[avatar_definition]) ).
fof(f793,plain,
( ~ segmentP(cons(hd(sK56),nil),nil)
| spl57_26 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f794,plain,
( ~ spl57_24
| ~ spl57_25
| ~ spl57_26
| spl57_2
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20 ),
inference(avatar_split_clause,[],[f781,f742,f676,f672,f658,f556,f550,f791,f787,f783]) ).
fof(f795,plain,
( ~ ssItem(hd(sK56))
| ~ spl57_4
| spl57_24 ),
inference(resolution,[],[f785,f561]) ).
fof(f796,plain,
( $false
| ~ spl57_4
| ~ spl57_14
| spl57_24 ),
inference(forward_subsumption_resolution,[],[f795,f677]) ).
fof(f797,plain,
( ~ spl57_4
| ~ spl57_14
| spl57_24 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f798,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_25 ),
inference(resolution,[],[f789,f387]) ).
fof(f799,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(nil)
| ~ spl57_20
| spl57_25 ),
inference(forward_subsumption_resolution,[],[f798,f743]) ).
fof(f800,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_3
| ~ spl57_20
| spl57_25 ),
inference(forward_subsumption_resolution,[],[f799,f557]) ).
fof(f801,plain,
( spl57_23
| ~ spl57_3
| ~ spl57_20
| spl57_25 ),
inference(avatar_split_clause,[],[f800,f787,f742,f556,f763]) ).
fof(f808,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_23 ),
inference(superposition,[],[f513,f765]) ).
fof(f818,plain,
( ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_3
| ~ spl57_23 ),
inference(forward_subsumption_resolution,[],[f808,f557]) ).
fof(f824,plain,
( singletonP(nil)
| ~ spl57_3
| ~ spl57_14
| ~ spl57_23 ),
inference(forward_subsumption_resolution,[],[f818,f677]) ).
fof(f827,plain,
( $false
| ~ spl57_3
| ~ spl57_14
| ~ spl57_23 ),
inference(forward_subsumption_resolution,[],[f824,f420]) ).
fof(f828,plain,
( ~ spl57_3
| ~ spl57_14
| ~ spl57_23 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f829,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_26 ),
inference(resolution,[],[f793,f442]) ).
fof(f830,plain,
( $false
| ~ spl57_20
| spl57_26 ),
inference(forward_subsumption_resolution,[],[f829,f743]) ).
fof(f831,plain,
( ~ spl57_20
| spl57_26 ),
inference(avatar_contradiction_clause,[],[f830]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f553]) ).
cnf(s2,plain,
spl57_1,
inference(sat_conversion,[],[f554]) ).
cnf(s4,plain,
spl57_4,
inference(sat_conversion,[],[f563]) ).
cnf(s10,plain,
spl57_3,
inference(sat_conversion,[],[f584]) ).
cnf(s12,plain,
( spl57_11
| spl57_12 ),
inference(sat_conversion,[],[f665]) ).
cnf(s16,plain,
( spl57_12
| spl57_13 ),
inference(sat_conversion,[],[f698]) ).
cnf(s18,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_12 ),
inference(sat_conversion,[],[f714]) ).
cnf(s20,plain,
( spl57_12
| spl57_14 ),
inference(sat_conversion,[],[f734]) ).
cnf(s22,plain,
( ~ spl57_3
| ~ spl57_14
| spl57_20 ),
inference(sat_conversion,[],[f752]) ).
cnf(s24,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14
| ~ spl57_20
| ~ spl57_24
| ~ spl57_25
| ~ spl57_26 ),
inference(sat_conversion,[],[f794]) ).
cnf(s25,plain,
( ~ spl57_4
| ~ spl57_14
| spl57_24 ),
inference(sat_conversion,[],[f797]) ).
cnf(s26,plain,
( ~ spl57_3
| ~ spl57_20
| spl57_23
| spl57_25 ),
inference(sat_conversion,[],[f801]) ).
cnf(s29,plain,
( ~ spl57_3
| ~ spl57_14
| ~ spl57_23 ),
inference(sat_conversion,[],[f828]) ).
cnf(s30,plain,
( ~ spl57_20
| spl57_26 ),
inference(sat_conversion,[],[f831]) ).
cnf(s34,plain,
~ spl57_2,
inference(rat,[],[s1,s2]) ).
cnf(s35,plain,
~ spl57_12,
inference(rat,[],[s18,s10,s34]) ).
cnf(s36,plain,
spl57_14,
inference(rat,[],[s20,s35]) ).
cnf(s37,plain,
spl57_13,
inference(rat,[],[s16,s35]) ).
cnf(s38,plain,
spl57_11,
inference(rat,[],[s12,s35]) ).
cnf(s39,plain,
~ spl57_23,
inference(rat,[],[s29,s10,s36]) ).
cnf(s40,plain,
spl57_24,
inference(rat,[],[s25,s4,s36]) ).
cnf(s41,plain,
spl57_20,
inference(rat,[],[s22,s10,s36]) ).
cnf(s46,plain,
spl57_26,
inference(rat,[],[s30,s41]) ).
cnf(s47,plain,
spl57_25,
inference(rat,[],[s26,s39,s10,s41]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s24,s38,s37,s40,s41,s36,s34,s10,s46,s47]) ).
fof(f832,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC125+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 : n010.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 08:01:02 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
% 6.53/1.97 % (1756756)Detected formulas, will run a generic FOF schedule.
% 6.53/1.97 % (1756765)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=44059095:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.53/1.97 % (1756765)Instruction limit reached!
% 6.53/1.97 % (1756765)------------------------------
% 6.53/1.97 % (1756765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756765)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756765)Termination reason: Instruction limit
% 6.53/1.97 % (1756765)Termination phase: Saturation
% 6.53/1.97 % (1756765)Time elapsed: 0.038 s
% 6.53/1.97 % (1756765)Peak memory usage: 89 MB
% 6.53/1.97 % (1756765)Instructions burned: 120 (million)
% 6.53/1.97 % (1756766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2671162190:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.53/1.97 % (1756764)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=839525954:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.53/1.97 % (1756761)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=2818403916:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.53/1.97 % (1756763)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=677133565:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.53/1.97 % (1756762)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=3565079142:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.53/1.97 % (1756767)dis-21_1_sil=8000:lcm=predicate:random_seed=2216461203: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)
% 6.53/1.97 % (1756764)Refutation not found, incomplete strategy
% 6.53/1.97 % (1756764)------------------------------
% 6.53/1.97 % (1756764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756764)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756764)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.97 % (1756764)Time elapsed: 0.004 s
% 6.53/1.97 % (1756764)Peak memory usage: 88 MB
% 6.53/1.97 % (1756764)Instructions burned: 4 (million)
% 6.53/1.97 % (1756767)Instruction limit reached!
% 6.53/1.97 % (1756767)------------------------------
% 6.53/1.97 % (1756767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756767)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756767)Termination reason: Instruction limit
% 6.53/1.97 % (1756767)Termination phase: Saturation
% 6.53/1.97 % (1756767)Time elapsed: 0.075 s
% 6.53/1.97 % (1756767)Peak memory usage: 90 MB
% 6.53/1.97 % (1756767)Instructions burned: 129 (million)
% 6.53/1.97 % (1756766)Instruction limit reached!
% 6.53/1.97 % (1756766)------------------------------
% 6.53/1.97 % (1756766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756766)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756766)Termination reason: Instruction limit
% 6.53/1.97 % (1756766)Termination phase: Saturation
% 6.53/1.97 % (1756766)Time elapsed: 0.094 s
% 6.53/1.97 % (1756766)Peak memory usage: 90 MB
% 6.53/1.97 % (1756766)Instructions burned: 140 (million)
% 6.53/1.97 % (1756769)lrs+10_1_sil=8000:sp=occurrence:random_seed=3015490923:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.53/1.97 % (1756769)Instruction limit reached!
% 6.53/1.97 % (1756769)------------------------------
% 6.53/1.97 % (1756769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756769)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756769)Termination reason: Instruction limit
% 6.53/1.97 % (1756769)Termination phase: Saturation
% 6.53/1.97 % (1756769)Time elapsed: 0.090 s
% 6.53/1.97 % (1756769)Peak memory usage: 93 MB
% 6.53/1.97 % (1756769)Instructions burned: 287 (million)
% 6.53/1.97 % (1756776)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3835685302:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.53/1.97 % (1756777)lrs+1011_1_sil=32000:sp=occurrence:random_seed=695068579:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.53/1.97 % (1756764)------------------------------
% 6.53/1.97 % (1756764)------------------------------
% 6.53/1.97 % (1756776)Instruction limit reached!
% 6.53/1.97 % (1756776)------------------------------
% 6.53/1.97 % (1756776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756776)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756776)Termination reason: Instruction limit
% 6.53/1.97 % (1756776)Termination phase: Saturation
% 6.53/1.97 % (1756776)Time elapsed: 0.077 s
% 6.53/1.97 % (1756776)Peak memory usage: 91 MB
% 6.53/1.97 % (1756776)Instructions burned: 159 (million)
% 6.53/1.97 % (1756779)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=658840398:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.53/1.97 % (1756777)Instruction limit reached!
% 6.53/1.97 % (1756777)------------------------------
% 6.53/1.97 % (1756777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756777)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756777)Termination reason: Instruction limit
% 6.53/1.97 % (1756777)Termination phase: Saturation
% 6.53/1.97 % (1756777)Time elapsed: 0.132 s
% 6.53/1.97 % (1756777)Peak memory usage: 89 MB
% 6.53/1.97 % (1756777)Instructions burned: 325 (million)
% 6.53/1.97 % (1756779)Instruction limit reached!
% 6.53/1.97 % (1756779)------------------------------
% 6.53/1.97 % (1756779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756779)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756779)Termination reason: Instruction limit
% 6.53/1.97 % (1756779)Termination phase: Saturation
% 6.53/1.97 % (1756779)Time elapsed: 0.068 s
% 6.53/1.97 % (1756779)Peak memory usage: 93 MB
% 6.53/1.97 % (1756779)Instructions burned: 249 (million)
% 6.53/1.97 % (1756782)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4255511:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.53/1.97 % (1756783)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=16144651:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.53/1.97 % (1756786)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3892151102:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.53/1.97 % (1756785)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2445635461:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.53/1.97 % (1756786)Instruction limit reached!
% 6.53/1.97 % (1756786)------------------------------
% 6.53/1.97 % (1756786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756786)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756786)Termination reason: Instruction limit
% 6.53/1.97 % (1756786)Termination phase: Saturation
% 6.53/1.97 % (1756786)Time elapsed: 0.035 s
% 6.53/1.97 % (1756786)Peak memory usage: 90 MB
% 6.53/1.97 % (1756786)Instructions burned: 128 (million)
% 6.53/1.97 % (1756782)Instruction limit reached!
% 6.53/1.97 % (1756782)------------------------------
% 6.53/1.97 % (1756782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756782)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756782)Termination reason: Instruction limit
% 6.53/1.97 % (1756782)Termination phase: Saturation
% 6.53/1.97 % (1756782)Time elapsed: 0.142 s
% 6.53/1.97 % (1756782)Peak memory usage: 88 MB
% 6.53/1.97 % (1756782)Instructions burned: 296 (million)
% 6.53/1.97 % (1756785)Instruction limit reached!
% 6.53/1.97 % (1756785)------------------------------
% 6.53/1.97 % (1756785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756785)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756785)Termination reason: Instruction limit
% 6.53/1.97 % (1756785)Termination phase: Saturation
% 6.53/1.97 % (1756785)Time elapsed: 0.077 s
% 6.53/1.97 % (1756785)Peak memory usage: 90 MB
% 6.53/1.97 % (1756785)Instructions burned: 114 (million)
% 6.53/1.97 % (1756791)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3569987261:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.53/1.97 % (1756761)First to succeed.
% 6.53/1.97 % (1756761)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1756756"
% 6.53/1.97 % (1756791)Instruction limit reached!
% 6.53/1.97 % (1756791)------------------------------
% 6.53/1.97 % (1756791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/1.97 % (1756791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.97 % (1756791)CaDiCaL version: 2.1.3
% 6.53/1.97 % (1756791)Termination reason: Instruction limit
% 6.53/1.97 % (1756791)Termination phase: Saturation
% 6.53/1.97 % (1756791)Time elapsed: 0.039 s
% 6.53/1.97 % (1756791)Peak memory usage: 89 MB
% 6.53/1.97 % (1756791)Instructions burned: 115 (million)
% 6.53/1.97 % (1756762)Also succeeded, but the first one will report.
% 6.53/1.97 % (1756792)lrs+10_1_sil=8000:sp=occurrence:random_seed=530056067:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.53/1.97 % (1756793)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2007053576:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.53/1.97 % (1756795)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1863942:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.53/1.97 % (1756761)Refutation found. Thanks to Tanya!
% 6.53/1.97 % SZS status Theorem for theBenchmark
% 6.53/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.45/2.16 % (1756761)------------------------------
% 8.45/2.16 % (1756761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.16 % (1756761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.16 % (1756761)CaDiCaL version: 2.1.3
% 8.45/2.16 % (1756761)Termination reason: Refutation
% 8.45/2.16 % (1756761)Time elapsed: 0.677 s
% 8.45/2.16 % (1756761)Peak memory usage: 131 MB
% 8.45/2.16 % (1756761)Instructions burned: 1016 (million)
% 8.45/2.16 % (1756761)------------------------------
% 8.45/2.16 % (1756761)------------------------------
% 8.45/2.16 % (1756756)Success in time 1.117 s
% 8.45/2.16 % Vampire exiting
%------------------------------------------------------------------------------