%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC123+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 : n007.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 01:02:33 PM UTC 2026
% Result : Theorem 4.60s 1.54s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 29
% Syntax : Number of formulae : 199 ( 32 unt; 13 def)
% Number of atoms : 670 ( 92 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 807 ( 336 ~; 350 |; 70 &)
% ( 21 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 123 !; 26 ?)
% 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(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
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(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
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(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
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)
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(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)
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(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(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
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(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(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f185,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
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)
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(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)
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(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(f240,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X3] :
( ssList(X3)
& app(X1,X3) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ( ssList(sK11(X0,X1))
& app(X1,sK11(X0,X1)) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f241]) ).
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)
& frontsegP(sK56,sK55)
& equalelemsP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ equalelemsP(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(f309,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK11(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f310,plain,
! [X0,X1] :
( ssList(sK11(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f311,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X2)
| app(X1,X2) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f242]) ).
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(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
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(f467,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f185]) ).
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(X4,sK55)
| ~ neq(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ ssList(X4)
| ~ equalelemsP(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
frontsegP(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(f514,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f311]) ).
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(f548,plain,
( ~ segmentP(sK56,sK55)
| spl57_1 ),
inference(avatar_component_clause,[],[f546]) ).
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(f555,definition,
( spl57_3
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f556,plain,
( ssList(nil)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f583,plain,
spl57_3,
inference(avatar_split_clause,[],[f389,f555]) ).
fof(f585,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f514,f401]) ).
fof(f586,plain,
( sK56 = app(sK55,sK11(sK56,sK55))
| ~ ssList(sK55)
| ~ ssList(sK56) ),
inference(resolution,[],[f309,f503]) ).
fof(f587,plain,
( sK56 = app(sK55,sK11(sK56,sK55))
| ~ ssList(sK56) ),
inference(forward_subsumption_resolution,[],[f586,f510]) ).
fof(f588,plain,
sK56 = app(sK55,sK11(sK56,sK55)),
inference(forward_subsumption_resolution,[],[f587,f509]) ).
fof(f595,definition,
( spl57_9
<=> ssList(sK11(sK56,sK55)) ),
introduced(definition,[new_symbols(definition,[spl57_9])],[avatar_definition]) ).
fof(f596,plain,
( ssList(sK11(sK56,sK55))
| ~ spl57_9 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f597,plain,
( ~ ssList(sK11(sK56,sK55))
| spl57_9 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f602,plain,
sK55 = app(nil,sK55),
inference(resolution,[],[f403,f510]) ).
fof(f605,plain,
! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) ),
inference(superposition,[],[f516,f602]) ).
fof(f606,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) )
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f605,f556]) ).
fof(f607,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,X0)) )
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f606,f510]) ).
fof(f609,plain,
( segmentP(sK56,sK55)
| ~ ssList(sK11(sK56,sK55))
| ~ ssList(sK56)
| ~ spl57_3 ),
inference(superposition,[],[f607,f588]) ).
fof(f616,plain,
( ~ frontsegP(sK56,sK55)
| ~ ssList(sK55)
| ~ ssList(sK56)
| spl57_9 ),
inference(resolution,[],[f310,f597]) ).
fof(f618,plain,
( ~ ssList(sK55)
| ~ ssList(sK56)
| spl57_9 ),
inference(forward_subsumption_resolution,[],[f616,f503]) ).
fof(f619,plain,
( ~ ssList(sK56)
| spl57_9 ),
inference(forward_subsumption_resolution,[],[f618,f510]) ).
fof(f620,plain,
( $false
| spl57_9 ),
inference(forward_subsumption_resolution,[],[f619,f509]) ).
fof(f621,plain,
spl57_9,
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f622,plain,
( ~ ssList(sK11(sK56,sK55))
| ~ ssList(sK56)
| spl57_1
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f609,f548]) ).
fof(f623,plain,
( ~ ssList(sK56)
| spl57_1
| ~ spl57_3
| ~ spl57_9 ),
inference(forward_subsumption_resolution,[],[f622,f596]) ).
fof(f624,plain,
( $false
| spl57_1
| ~ spl57_3
| ~ spl57_9 ),
inference(forward_subsumption_resolution,[],[f623,f509]) ).
fof(f625,plain,
( spl57_1
| ~ spl57_3
| ~ spl57_9 ),
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f626,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl57_2 ),
inference(resolution,[],[f552,f387]) ).
fof(f627,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_2
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f626,f556]) ).
fof(f628,plain,
( nil = sK55
| spl57_2
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f627,f510]) ).
fof(f629,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ neq(nil,X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ equalelemsP(X0) )
| spl57_2
| ~ spl57_3 ),
inference(superposition,[],[f501,f628]) ).
fof(f633,plain,
( ~ neq(nil,nil)
| spl57_2
| ~ spl57_3 ),
inference(superposition,[],[f552,f628]) ).
fof(f637,plain,
( ! [X0] :
( ~ frontsegP(sK56,X0)
| ~ neq(nil,X0)
| ~ ssList(X0)
| ~ equalelemsP(X0) )
| spl57_2
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f629,f442]) ).
fof(f763,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f509]) ).
fof(f765,definition,
( spl57_15
<=> sK56 = cons(hd(sK56),tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_15])],[avatar_definition]) ).
fof(f767,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| ~ spl57_15 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f769,definition,
( spl57_16
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_16])],[avatar_definition]) ).
fof(f770,plain,
( nil != sK56
| spl57_16 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f771,plain,
( nil = sK56
| ~ spl57_16 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f772,plain,
( spl57_15
| spl57_16 ),
inference(avatar_split_clause,[],[f763,f769,f765]) ).
fof(f785,definition,
( spl57_17
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_17])],[avatar_definition]) ).
fof(f786,plain,
( ssList(tl(sK56))
| ~ spl57_17 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f787,plain,
( ~ ssList(tl(sK56))
| spl57_17 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f789,definition,
( spl57_18
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_18])],[avatar_definition]) ).
fof(f790,plain,
( ssItem(hd(sK56))
| ~ spl57_18 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f791,plain,
( ~ ssItem(hd(sK56))
| spl57_18 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f800,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_17 ),
inference(resolution,[],[f399,f787]) ).
fof(f805,plain,
( nil = sK56
| spl57_17 ),
inference(forward_subsumption_resolution,[],[f800,f509]) ).
fof(f806,plain,
( spl57_16
| spl57_17 ),
inference(avatar_split_clause,[],[f805,f785,f769]) ).
fof(f808,plain,
( neq(nil,nil)
| ~ spl57_16 ),
inference(superposition,[],[f507,f771]) ).
fof(f830,plain,
( $false
| spl57_2
| ~ spl57_3
| ~ spl57_16 ),
inference(forward_subsumption_resolution,[],[f808,f633]) ).
fof(f831,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_16 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f835,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_17 ),
inference(resolution,[],[f786,f477]) ).
fof(f847,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_18 ),
inference(resolution,[],[f791,f397]) ).
fof(f848,plain,
( ~ ssList(sK56)
| spl57_16
| spl57_18 ),
inference(forward_subsumption_resolution,[],[f847,f770]) ).
fof(f849,plain,
( $false
| spl57_16
| spl57_18 ),
inference(forward_subsumption_resolution,[],[f848,f509]) ).
fof(f850,plain,
( spl57_16
| spl57_18 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f852,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_17
| ~ spl57_18 ),
inference(resolution,[],[f835,f790]) ).
fof(f853,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_15
| ~ spl57_17
| ~ spl57_18 ),
inference(forward_demodulation,[],[f852,f767]) ).
fof(f855,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(cons(hd(sK56),nil))
| ~ spl57_15
| ~ spl57_17
| ~ spl57_18 ),
inference(superposition,[],[f585,f853]) ).
fof(f859,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ spl57_15
| ~ spl57_17
| ~ spl57_18 ),
inference(forward_subsumption_resolution,[],[f855,f786]) ).
fof(f862,definition,
( spl57_22
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_22])],[avatar_definition]) ).
fof(f863,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_22 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f864,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_22 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f870,definition,
( spl57_24
<=> frontsegP(sK56,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_24])],[avatar_definition]) ).
fof(f872,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ spl57_24 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f873,plain,
( ~ spl57_22
| spl57_24
| ~ spl57_15
| ~ spl57_17
| ~ spl57_18 ),
inference(avatar_split_clause,[],[f859,f789,f785,f765,f870,f862]) ).
fof(f878,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_22 ),
inference(resolution,[],[f864,f388]) ).
fof(f879,plain,
( ~ ssList(nil)
| ~ spl57_18
| spl57_22 ),
inference(forward_subsumption_resolution,[],[f878,f790]) ).
fof(f880,plain,
( $false
| ~ spl57_3
| ~ spl57_18
| spl57_22 ),
inference(forward_subsumption_resolution,[],[f879,f556]) ).
fof(f881,plain,
( ~ spl57_3
| ~ spl57_18
| spl57_22 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f892,definition,
( spl57_27
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_27])],[avatar_definition]) ).
fof(f894,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_27 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f896,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ equalelemsP(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_3
| ~ spl57_24 ),
inference(resolution,[],[f872,f637]) ).
fof(f899,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ equalelemsP(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_3
| ~ spl57_22
| ~ spl57_24 ),
inference(forward_subsumption_resolution,[],[f896,f863]) ).
fof(f902,definition,
( spl57_28
<=> equalelemsP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_28])],[avatar_definition]) ).
fof(f904,plain,
( ~ equalelemsP(cons(hd(sK56),nil))
| spl57_28 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f906,definition,
( spl57_29
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_29])],[avatar_definition]) ).
fof(f908,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_29 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f909,plain,
( ~ spl57_28
| ~ spl57_29
| spl57_2
| ~ spl57_3
| ~ spl57_22
| ~ spl57_24 ),
inference(avatar_split_clause,[],[f899,f870,f862,f555,f550,f906,f902]) ).
fof(f910,plain,
( ~ ssItem(hd(sK56))
| spl57_28 ),
inference(resolution,[],[f904,f467]) ).
fof(f911,plain,
( $false
| ~ spl57_18
| spl57_28 ),
inference(forward_subsumption_resolution,[],[f910,f790]) ).
fof(f912,plain,
( ~ spl57_18
| spl57_28 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f913,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_29 ),
inference(resolution,[],[f908,f387]) ).
fof(f914,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(nil)
| ~ spl57_22
| spl57_29 ),
inference(forward_subsumption_resolution,[],[f913,f863]) ).
fof(f915,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_3
| ~ spl57_22
| spl57_29 ),
inference(forward_subsumption_resolution,[],[f914,f556]) ).
fof(f916,plain,
( spl57_27
| ~ spl57_3
| ~ spl57_22
| spl57_29 ),
inference(avatar_split_clause,[],[f915,f906,f862,f555,f892]) ).
fof(f921,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_27 ),
inference(superposition,[],[f513,f894]) ).
fof(f927,plain,
( ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_3
| ~ spl57_27 ),
inference(forward_subsumption_resolution,[],[f921,f556]) ).
fof(f931,plain,
( singletonP(nil)
| ~ spl57_3
| ~ spl57_18
| ~ spl57_27 ),
inference(forward_subsumption_resolution,[],[f927,f790]) ).
fof(f934,plain,
( $false
| ~ spl57_3
| ~ spl57_18
| ~ spl57_27 ),
inference(forward_subsumption_resolution,[],[f931,f420]) ).
fof(f935,plain,
( ~ spl57_3
| ~ spl57_18
| ~ spl57_27 ),
inference(avatar_contradiction_clause,[],[f934]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f553]) ).
cnf(s9,plain,
spl57_3,
inference(sat_conversion,[],[f583]) ).
cnf(s11,plain,
spl57_9,
inference(sat_conversion,[],[f621]) ).
cnf(s12,plain,
( spl57_1
| ~ spl57_3
| ~ spl57_9 ),
inference(sat_conversion,[],[f625]) ).
cnf(s16,plain,
( spl57_15
| spl57_16 ),
inference(sat_conversion,[],[f772]) ).
cnf(s20,plain,
( spl57_16
| spl57_17 ),
inference(sat_conversion,[],[f806]) ).
cnf(s22,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_16 ),
inference(sat_conversion,[],[f831]) ).
cnf(s24,plain,
( spl57_16
| spl57_18 ),
inference(sat_conversion,[],[f850]) ).
cnf(s26,plain,
( ~ spl57_15
| ~ spl57_17
| ~ spl57_18
| ~ spl57_22
| spl57_24 ),
inference(sat_conversion,[],[f873]) ).
cnf(s28,plain,
( ~ spl57_3
| ~ spl57_18
| spl57_22 ),
inference(sat_conversion,[],[f881]) ).
cnf(s30,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_22
| ~ spl57_24
| ~ spl57_28
| ~ spl57_29 ),
inference(sat_conversion,[],[f909]) ).
cnf(s31,plain,
( ~ spl57_18
| spl57_28 ),
inference(sat_conversion,[],[f912]) ).
cnf(s32,plain,
( ~ spl57_3
| ~ spl57_22
| spl57_27
| spl57_29 ),
inference(sat_conversion,[],[f916]) ).
cnf(s35,plain,
( ~ spl57_3
| ~ spl57_18
| ~ spl57_27 ),
inference(sat_conversion,[],[f935]) ).
cnf(s37,plain,
spl57_1,
inference(rat,[],[s12,s11,s9]) ).
cnf(s41,plain,
~ spl57_2,
inference(rat,[],[s1,s37]) ).
cnf(s42,plain,
~ spl57_16,
inference(rat,[],[s22,s9,s41]) ).
cnf(s44,plain,
spl57_18,
inference(rat,[],[s24,s42]) ).
cnf(s45,plain,
spl57_17,
inference(rat,[],[s20,s42]) ).
cnf(s46,plain,
spl57_15,
inference(rat,[],[s16,s42]) ).
cnf(s48,plain,
~ spl57_27,
inference(rat,[],[s35,s9,s44]) ).
cnf(s49,plain,
spl57_28,
inference(rat,[],[s31,s44]) ).
cnf(s50,plain,
spl57_22,
inference(rat,[],[s28,s9,s44]) ).
cnf(s52,plain,
spl57_24,
inference(rat,[],[s26,s45,s50,s44,s46]) ).
cnf(s55,plain,
spl57_29,
inference(rat,[],[s32,s48,s9,s50]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s30,s55,s49,s41,s9,s52,s50]) ).
fof(f936,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC123+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:59:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 4.60/1.54 % (2233458)Detected formulas, will run a generic FOF schedule.
% 4.60/1.54 % (2233463)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=3772902411:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.60/1.54 % (2233469)dis-21_1_sil=8000:lcm=predicate:random_seed=2779066465: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)
% 4.60/1.54 % (2233465)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=2974254792:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.60/1.54 % (2233464)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=2615149923:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.60/1.54 % (2233467)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=849212233:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.60/1.54 % (2233466)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=81608825:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.60/1.54 % (2233468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1029620436:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.60/1.54 % (2233466)Instruction limit reached!
% 4.60/1.54 % (2233466)------------------------------
% 4.60/1.54 % (2233466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233466)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233466)Termination reason: Instruction limit
% 4.60/1.54 % (2233466)Termination phase: Saturation
% 4.60/1.54 % (2233466)Time elapsed: 0.067 s
% 4.60/1.54 % (2233466)Peak memory usage: 89 MB
% 4.60/1.54 % (2233466)Instructions burned: 110 (million)
% 4.60/1.54 % (2233467)Instruction limit reached!
% 4.60/1.54 % (2233467)------------------------------
% 4.60/1.54 % (2233467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233467)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233467)Termination reason: Instruction limit
% 4.60/1.54 % (2233467)Termination phase: Saturation
% 4.60/1.54 % (2233467)Time elapsed: 0.070 s
% 4.60/1.54 % (2233467)Peak memory usage: 88 MB
% 4.60/1.54 % (2233467)Instructions burned: 119 (million)
% 4.60/1.54 % (2233469)Instruction limit reached!
% 4.60/1.54 % (2233469)------------------------------
% 4.60/1.54 % (2233469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233469)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233469)Termination reason: Instruction limit
% 4.60/1.54 % (2233469)Termination phase: Saturation
% 4.60/1.54 % (2233469)Time elapsed: 0.074 s
% 4.60/1.54 % (2233469)Peak memory usage: 90 MB
% 4.60/1.54 % (2233469)Instructions burned: 129 (million)
% 4.60/1.54 % (2233468)Instruction limit reached!
% 4.60/1.54 % (2233468)------------------------------
% 4.60/1.54 % (2233468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233468)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233468)Termination reason: Instruction limit
% 4.60/1.54 % (2233468)Termination phase: Saturation
% 4.60/1.54 % (2233468)Time elapsed: 0.093 s
% 4.60/1.54 % (2233468)Peak memory usage: 90 MB
% 4.60/1.54 % (2233468)Instructions burned: 142 (million)
% 4.60/1.54 % (2233479)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1885529060:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.60/1.54 % (2233478)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1139436642:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.60/1.54 % (2233477)lrs+10_1_sil=8000:sp=occurrence:random_seed=2227382654:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.60/1.54 % (2233480)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=4251507536:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.60/1.54 % (2233478)Instruction limit reached!
% 4.60/1.54 % (2233478)------------------------------
% 4.60/1.54 % (2233478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233478)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233478)Termination reason: Instruction limit
% 4.60/1.54 % (2233478)Termination phase: Saturation
% 4.60/1.54 % (2233478)Time elapsed: 0.074 s
% 4.60/1.54 % (2233478)Peak memory usage: 91 MB
% 4.60/1.54 % (2233478)Instructions burned: 159 (million)
% 4.60/1.54 % (2233463)First to succeed.
% 4.60/1.54 % (2233463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2233458"
% 4.60/1.54 % (2233480)Instruction limit reached!
% 4.60/1.54 % (2233480)------------------------------
% 4.60/1.54 % (2233480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233480)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233480)Termination reason: Instruction limit
% 4.60/1.54 % (2233480)Termination phase: Saturation
% 4.60/1.54 % (2233480)Time elapsed: 0.128 s
% 4.60/1.54 % (2233480)Peak memory usage: 92 MB
% 4.60/1.54 % (2233480)Instructions burned: 249 (million)
% 4.60/1.54 % (2233477)Instruction limit reached!
% 4.60/1.54 % (2233477)------------------------------
% 4.60/1.54 % (2233477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233477)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233477)Termination reason: Instruction limit
% 4.60/1.54 % (2233477)Termination phase: Saturation
% 4.60/1.54 % (2233477)Time elapsed: 0.175 s
% 4.60/1.54 % (2233477)Peak memory usage: 93 MB
% 4.60/1.54 % (2233477)Instructions burned: 285 (million)
% 4.60/1.54 % (2233479)Instruction limit reached!
% 4.60/1.54 % (2233479)------------------------------
% 4.60/1.54 % (2233479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.60/1.54 % (2233479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.60/1.54 % (2233479)CaDiCaL version: 2.1.3
% 4.60/1.54 % (2233479)Termination reason: Instruction limit
% 4.60/1.54 % (2233479)Termination phase: Saturation
% 4.60/1.54 % (2233479)Time elapsed: 0.187 s
% 4.60/1.54 % (2233479)Peak memory usage: 94 MB
% 4.60/1.54 % (2233479)Instructions burned: 325 (million)
% 4.60/1.54 % (2233485)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=374606585:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.60/1.54 % (2233463)Refutation found. Thanks to Tanya!
% 4.60/1.54 % SZS status Theorem for theBenchmark
% 4.60/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.73 % (2233463)------------------------------
% 5.41/1.73 % (2233463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.73 % (2233463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.73 % (2233463)CaDiCaL version: 2.1.3
% 5.41/1.73 % (2233463)Termination reason: Refutation
% 5.41/1.73 % (2233463)Time elapsed: 0.384 s
% 5.41/1.73 % (2233463)Peak memory usage: 131 MB
% 5.41/1.73 % (2233463)Instructions burned: 1028 (million)
% 5.41/1.73 % (2233463)------------------------------
% 5.41/1.73 % (2233463)------------------------------
% 5.41/1.73 % (2233458)Success in time 0.679 s
% 5.41/1.73 % Vampire exiting
%------------------------------------------------------------------------------