%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC077+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 : n006.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 01:02:20 PM UTC 2026
% Result : Theorem 6.54s 1.69s
% Output : Refutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 30
% Syntax : Number of formulae : 206 ( 31 unt; 14 def)
% Number of atoms : 704 ( 102 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 864 ( 366 ~; 378 |; 68 &)
% ( 20 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn 128 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
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(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ? [X5] :
( ssList(X5)
& neq(X2,X5)
& frontsegP(X3,X5)
& segmentP(X5,X2)
& strictorderedP(X5) )
| ( nil = X1
& nil = X0 ) ) ) ) ) ),
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
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ? [X5] :
( ssList(X5)
& neq(X2,X5)
& frontsegP(X3,X5)
& segmentP(X5,X2)
& strictorderedP(X5) )
| ( nil = X1
& nil = X0 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
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(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
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(f172,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
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
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X2,X5)
| ~ frontsegP(X3,X5)
| ~ segmentP(X5,X2)
| ~ strictorderedP(X5) )
& ( nil != X1
| nil != X0 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X2,X5)
| ~ frontsegP(X3,X5)
| ~ segmentP(X5,X2)
| ~ strictorderedP(X5) )
& ( nil != X1
| nil != X0 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
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
& frontsegP(sK56,sK55)
& strictorderedP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) )
& ! [X5] :
( ~ ssList(X5)
| ~ neq(sK55,X5)
| ~ frontsegP(sK56,X5)
| ~ segmentP(X5,sK55)
| ~ strictorderedP(X5) )
& ( nil != sK54
| nil != 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(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(f390,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
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(f440,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
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,
( nil != sK54
| nil != sK53 ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
! [X5] :
( ~ segmentP(X5,sK55)
| ~ neq(sK55,X5)
| ~ frontsegP(sK56,X5)
| ~ ssList(X5)
| ~ strictorderedP(X5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
frontsegP(sK56,sK55),
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,
! [X4] :
( ~ segmentP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK55,X4) ),
inference(definition_unfolding,[],[f502,f506,f505]) ).
fof(f508,plain,
( nil != sK56
| nil != sK55 ),
inference(definition_unfolding,[],[f500,f506,f505]) ).
fof(f509,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f506]) ).
fof(f510,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f505]) ).
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
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f547,plain,
( nil = sK55
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f548,plain,
( nil != sK55
| spl57_1 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f550,definition,
( spl57_2
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f552,plain,
( nil != sK56
| 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(f559,definition,
( spl57_4
<=> ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).
fof(f560,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl57_4 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
spl57_4,
inference(avatar_split_clause,[],[f458,f559]) ).
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(f598,plain,
( sK56 = app(sK55,sK11(sK56,sK55))
| ~ ssList(sK55)
| ~ ssList(sK56) ),
inference(resolution,[],[f309,f504]) ).
fof(f599,plain,
( sK56 = app(sK55,sK11(sK56,sK55))
| ~ ssList(sK56) ),
inference(forward_subsumption_resolution,[],[f598,f510]) ).
fof(f600,plain,
sK56 = app(sK55,sK11(sK56,sK55)),
inference(forward_subsumption_resolution,[],[f599,f509]) ).
fof(f604,definition,
( spl57_11
<=> ssList(sK11(sK56,sK55)) ),
introduced(definition,[new_symbols(definition,[spl57_11])],[avatar_definition]) ).
fof(f605,plain,
( ssList(sK11(sK56,sK55))
| ~ spl57_11 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f606,plain,
( ~ ssList(sK11(sK56,sK55))
| spl57_11 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f611,plain,
( ~ frontsegP(sK56,sK55)
| ~ ssList(sK55)
| ~ ssList(sK56)
| spl57_11 ),
inference(resolution,[],[f310,f606]) ).
fof(f612,plain,
( ~ ssList(sK55)
| ~ ssList(sK56)
| spl57_11 ),
inference(forward_subsumption_resolution,[],[f611,f504]) ).
fof(f613,plain,
( ~ ssList(sK56)
| spl57_11 ),
inference(forward_subsumption_resolution,[],[f612,f510]) ).
fof(f614,plain,
( $false
| spl57_11 ),
inference(forward_subsumption_resolution,[],[f613,f509]) ).
fof(f615,plain,
spl57_11,
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f620,plain,
sK55 = app(nil,sK55),
inference(resolution,[],[f403,f510]) ).
fof(f627,plain,
! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) ),
inference(superposition,[],[f516,f620]) ).
fof(f628,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) )
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f627,f556]) ).
fof(f629,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,X0)) )
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f628,f510]) ).
fof(f630,plain,
( segmentP(sK56,sK55)
| ~ ssList(sK11(sK56,sK55))
| ~ ssList(sK56)
| ~ spl57_3 ),
inference(superposition,[],[f629,f600]) ).
fof(f631,plain,
( segmentP(sK56,sK55)
| ~ ssList(sK56)
| ~ spl57_3
| ~ spl57_11 ),
inference(forward_subsumption_resolution,[],[f630,f605]) ).
fof(f632,plain,
( segmentP(sK56,sK55)
| ~ spl57_3
| ~ spl57_11 ),
inference(forward_subsumption_resolution,[],[f631,f509]) ).
fof(f633,plain,
( ~ neq(sK55,nil)
| ~ ssList(sK55)
| ~ segmentP(sK55,sK55)
| ~ spl57_3
| ~ spl57_11 ),
inference(resolution,[],[f632,f507]) ).
fof(f634,plain,
( ~ neq(sK55,nil)
| ~ segmentP(sK55,sK55)
| ~ spl57_3
| ~ spl57_11 ),
inference(forward_subsumption_resolution,[],[f633,f510]) ).
fof(f636,definition,
( spl57_13
<=> segmentP(sK55,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_13])],[avatar_definition]) ).
fof(f638,plain,
( ~ segmentP(sK55,sK55)
| spl57_13 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f640,definition,
( spl57_14
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).
fof(f642,plain,
( ~ neq(sK55,nil)
| spl57_14 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f643,plain,
( ~ spl57_13
| ~ spl57_14
| ~ spl57_3
| ~ spl57_11 ),
inference(avatar_split_clause,[],[f634,f604,f555,f640,f636]) ).
fof(f644,plain,
( ~ ssList(sK55)
| spl57_13 ),
inference(resolution,[],[f638,f440]) ).
fof(f645,plain,
( $false
| spl57_13 ),
inference(forward_subsumption_resolution,[],[f644,f510]) ).
fof(f646,plain,
spl57_13,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f647,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl57_14 ),
inference(resolution,[],[f642,f387]) ).
fof(f648,plain,
( ~ ssList(nil)
| ~ ssList(sK55)
| spl57_1
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f647,f548]) ).
fof(f649,plain,
( ~ ssList(sK55)
| spl57_1
| ~ spl57_3
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f648,f556]) ).
fof(f650,plain,
( $false
| spl57_1
| ~ spl57_3
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f649,f510]) ).
fof(f651,plain,
( spl57_1
| ~ spl57_3
| spl57_14 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f668,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ neq(nil,X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ strictorderedP(X0) )
| ~ spl57_1 ),
inference(superposition,[],[f501,f547]) ).
fof(f672,plain,
( ! [X0] :
( ~ frontsegP(sK56,X0)
| ~ neq(nil,X0)
| ~ ssList(X0)
| ~ strictorderedP(X0) )
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f668,f442]) ).
fof(f711,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f509]) ).
fof(f712,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| spl57_2 ),
inference(forward_subsumption_resolution,[],[f711,f552]) ).
fof(f736,definition,
( spl57_17
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_17])],[avatar_definition]) ).
fof(f737,plain,
( ssItem(hd(sK56))
| ~ spl57_17 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f738,plain,
( ~ ssItem(hd(sK56))
| spl57_17 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f740,definition,
( spl57_18
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_18])],[avatar_definition]) ).
fof(f741,plain,
( ssList(tl(sK56))
| ~ spl57_18 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f742,plain,
( ~ ssList(tl(sK56))
| spl57_18 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f751,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_17 ),
inference(resolution,[],[f738,f397]) ).
fof(f752,plain,
( ~ ssList(sK56)
| spl57_2
| spl57_17 ),
inference(forward_subsumption_resolution,[],[f751,f552]) ).
fof(f753,plain,
( $false
| spl57_2
| spl57_17 ),
inference(forward_subsumption_resolution,[],[f752,f509]) ).
fof(f754,plain,
( spl57_2
| spl57_17 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f755,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_18 ),
inference(resolution,[],[f399,f742]) ).
fof(f759,plain,
( ~ ssList(sK56)
| spl57_2
| spl57_18 ),
inference(forward_subsumption_resolution,[],[f755,f552]) ).
fof(f760,plain,
( $false
| spl57_2
| spl57_18 ),
inference(forward_subsumption_resolution,[],[f759,f509]) ).
fof(f761,plain,
( spl57_2
| spl57_18 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f764,plain,
( tl(sK56) = app(nil,tl(sK56))
| ~ spl57_18 ),
inference(resolution,[],[f741,f403]) ).
fof(f785,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_18 ),
inference(resolution,[],[f477,f741]) ).
fof(f794,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_17
| ~ spl57_18 ),
inference(resolution,[],[f785,f737]) ).
fof(f795,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| spl57_2
| ~ spl57_17
| ~ spl57_18 ),
inference(forward_demodulation,[],[f794,f712]) ).
fof(f796,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_17
| ~ spl57_18 ),
inference(superposition,[],[f585,f795]) ).
fof(f800,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_17
| ~ spl57_18 ),
inference(forward_subsumption_resolution,[],[f796,f741]) ).
fof(f802,definition,
( spl57_23
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_23])],[avatar_definition]) ).
fof(f803,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_23 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_23 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f810,definition,
( spl57_25
<=> frontsegP(sK56,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_25])],[avatar_definition]) ).
fof(f812,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ spl57_25 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f813,plain,
( ~ spl57_23
| spl57_25
| spl57_2
| ~ spl57_17
| ~ spl57_18 ),
inference(avatar_split_clause,[],[f800,f740,f736,f550,f810,f802]) ).
fof(f814,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_23 ),
inference(resolution,[],[f804,f388]) ).
fof(f815,plain,
( ~ ssList(nil)
| ~ spl57_17
| spl57_23 ),
inference(forward_subsumption_resolution,[],[f814,f737]) ).
fof(f816,plain,
( $false
| ~ spl57_3
| ~ spl57_17
| spl57_23 ),
inference(forward_subsumption_resolution,[],[f815,f556]) ).
fof(f817,plain,
( ~ spl57_3
| ~ spl57_17
| spl57_23 ),
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f827,definition,
( spl57_27
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_27])],[avatar_definition]) ).
fof(f829,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_27 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f831,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ strictorderedP(cons(hd(sK56),nil))
| ~ spl57_1
| ~ spl57_25 ),
inference(resolution,[],[f812,f672]) ).
fof(f834,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ strictorderedP(cons(hd(sK56),nil))
| ~ spl57_1
| ~ spl57_23
| ~ spl57_25 ),
inference(forward_subsumption_resolution,[],[f831,f803]) ).
fof(f837,definition,
( spl57_28
<=> strictorderedP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_28])],[avatar_definition]) ).
fof(f839,plain,
( ~ strictorderedP(cons(hd(sK56),nil))
| spl57_28 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f841,definition,
( spl57_29
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_29])],[avatar_definition]) ).
fof(f843,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_29 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f844,plain,
( ~ spl57_28
| ~ spl57_29
| ~ spl57_1
| ~ spl57_23
| ~ spl57_25 ),
inference(avatar_split_clause,[],[f834,f810,f802,f546,f841,f837]) ).
fof(f854,plain,
( ~ ssItem(hd(sK56))
| ~ spl57_4
| spl57_28 ),
inference(resolution,[],[f839,f560]) ).
fof(f855,plain,
( $false
| ~ spl57_4
| ~ spl57_17
| spl57_28 ),
inference(forward_subsumption_resolution,[],[f854,f737]) ).
fof(f856,plain,
( ~ spl57_4
| ~ spl57_17
| spl57_28 ),
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f857,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_29 ),
inference(resolution,[],[f843,f387]) ).
fof(f858,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(nil)
| ~ spl57_23
| spl57_29 ),
inference(forward_subsumption_resolution,[],[f857,f803]) ).
fof(f859,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_3
| ~ spl57_23
| spl57_29 ),
inference(forward_subsumption_resolution,[],[f858,f556]) ).
fof(f860,plain,
( spl57_27
| ~ spl57_3
| ~ spl57_23
| spl57_29 ),
inference(avatar_split_clause,[],[f859,f841,f802,f555,f827]) ).
fof(f865,plain,
( sK56 = app(nil,tl(sK56))
| spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_27 ),
inference(superposition,[],[f795,f829]) ).
fof(f872,plain,
( sK56 = tl(sK56)
| spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_27 ),
inference(forward_demodulation,[],[f865,f764]) ).
fof(f882,plain,
( sK56 != tl(sK56)
| ~ ssItem(hd(sK56))
| ~ ssList(tl(sK56))
| spl57_2 ),
inference(superposition,[],[f390,f712]) ).
fof(f886,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(tl(sK56))
| spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_27 ),
inference(forward_subsumption_resolution,[],[f882,f872]) ).
fof(f889,plain,
( ~ ssList(tl(sK56))
| spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_27 ),
inference(forward_subsumption_resolution,[],[f886,f737]) ).
fof(f890,plain,
( $false
| spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_27 ),
inference(forward_subsumption_resolution,[],[f889,f741]) ).
fof(f891,plain,
( spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_27 ),
inference(avatar_contradiction_clause,[],[f890]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f553]) ).
cnf(s3,plain,
spl57_4,
inference(sat_conversion,[],[f562]) ).
cnf(s9,plain,
spl57_3,
inference(sat_conversion,[],[f583]) ).
cnf(s12,plain,
spl57_11,
inference(sat_conversion,[],[f615]) ).
cnf(s13,plain,
( ~ spl57_3
| ~ spl57_11
| ~ spl57_13
| ~ spl57_14 ),
inference(sat_conversion,[],[f643]) ).
cnf(s14,plain,
spl57_13,
inference(sat_conversion,[],[f646]) ).
cnf(s15,plain,
( spl57_1
| ~ spl57_3
| spl57_14 ),
inference(sat_conversion,[],[f651]) ).
cnf(s19,plain,
( spl57_2
| spl57_17 ),
inference(sat_conversion,[],[f754]) ).
cnf(s20,plain,
( spl57_2
| spl57_18 ),
inference(sat_conversion,[],[f761]) ).
cnf(s23,plain,
( spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_23
| spl57_25 ),
inference(sat_conversion,[],[f813]) ).
cnf(s24,plain,
( ~ spl57_3
| ~ spl57_17
| spl57_23 ),
inference(sat_conversion,[],[f817]) ).
cnf(s26,plain,
( ~ spl57_1
| ~ spl57_23
| ~ spl57_25
| ~ spl57_28
| ~ spl57_29 ),
inference(sat_conversion,[],[f844]) ).
cnf(s27,plain,
( ~ spl57_4
| ~ spl57_17
| spl57_28 ),
inference(sat_conversion,[],[f856]) ).
cnf(s28,plain,
( ~ spl57_3
| ~ spl57_23
| spl57_27
| spl57_29 ),
inference(sat_conversion,[],[f860]) ).
cnf(s30,plain,
( spl57_2
| ~ spl57_17
| ~ spl57_18
| ~ spl57_27 ),
inference(sat_conversion,[],[f891]) ).
cnf(s31,plain,
( ~ spl57_3
| ~ spl57_11
| ~ spl57_14 ),
inference(rat,[],[s13,s14]) ).
cnf(s33,plain,
~ spl57_14,
inference(rat,[],[s31,s12,s9]) ).
cnf(s34,plain,
spl57_1,
inference(rat,[],[s15,s9,s33]) ).
cnf(s38,plain,
~ spl57_2,
inference(rat,[],[s1,s34]) ).
cnf(s39,plain,
spl57_18,
inference(rat,[],[s20,s38]) ).
cnf(s40,plain,
spl57_17,
inference(rat,[],[s19,s38]) ).
cnf(s41,plain,
~ spl57_27,
inference(rat,[],[s30,s39,s38,s40]) ).
cnf(s42,plain,
spl57_28,
inference(rat,[],[s27,s3,s40]) ).
cnf(s43,plain,
spl57_23,
inference(rat,[],[s24,s9,s40]) ).
cnf(s46,plain,
spl57_29,
inference(rat,[],[s28,s41,s9,s43]) ).
cnf(s47,plain,
~ spl57_25,
inference(rat,[],[s26,s46,s42,s34,s43]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s23,s40,s39,s38,s47,s43]) ).
fof(f892,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC077+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.35 % Computer : n006.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8046.5625MB
% 0.12/0.35 % OS : Linux 6.8.0-71-generic
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Sep 28 07:44:25 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 6.54/1.69 % (3807425)Detected formulas, will run a generic FOF schedule.
% 6.54/1.69 % (3807433)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4148564499:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.54/1.69 % (3807434)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2043096704:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.54/1.69 % (3807431)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=3906579039:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.54/1.69 % (3807432)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=3852703165:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.54/1.69 % (3807430)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=2812747480:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.54/1.69 % (3807436)dis-21_1_sil=8000:lcm=predicate:random_seed=2217788862: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)
% 6.54/1.69 % (3807433)Refutation not found, incomplete strategy
% 6.54/1.69 % (3807433)------------------------------
% 6.54/1.69 % (3807433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807433)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807433)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.69 % (3807433)Time elapsed: 0.014 s
% 6.54/1.69 % (3807433)Peak memory usage: 89 MB
% 6.54/1.69 % (3807433)Instructions burned: 19 (million)
% 6.54/1.69 % (3807435)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=692362630:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.54/1.69 % (3807434)Instruction limit reached!
% 6.54/1.69 % (3807434)------------------------------
% 6.54/1.69 % (3807434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807434)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807434)Termination reason: Instruction limit
% 6.54/1.69 % (3807434)Termination phase: Saturation
% 6.54/1.69 % (3807434)Time elapsed: 0.072 s
% 6.54/1.69 % (3807434)Peak memory usage: 88 MB
% 6.54/1.69 % (3807434)Instructions burned: 119 (million)
% 6.54/1.69 % (3807436)Instruction limit reached!
% 6.54/1.69 % (3807436)------------------------------
% 6.54/1.69 % (3807436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807436)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807436)Termination reason: Instruction limit
% 6.54/1.69 % (3807436)Termination phase: Saturation
% 6.54/1.69 % (3807436)Time elapsed: 0.075 s
% 6.54/1.69 % (3807436)Peak memory usage: 90 MB
% 6.54/1.69 % (3807436)Instructions burned: 130 (million)
% 6.54/1.69 % (3807435)Instruction limit reached!
% 6.54/1.69 % (3807435)------------------------------
% 6.54/1.69 % (3807435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807435)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807435)Termination reason: Instruction limit
% 6.54/1.69 % (3807435)Termination phase: Saturation
% 6.54/1.69 % (3807435)Time elapsed: 0.091 s
% 6.54/1.69 % (3807435)Peak memory usage: 90 MB
% 6.54/1.69 % (3807435)Instructions burned: 139 (million)
% 6.54/1.69 % (3807444)lrs+10_1_sil=8000:sp=occurrence:random_seed=867300395:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.54/1.69 % (3807445)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4029432776:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.54/1.69 % (3807433)------------------------------
% 6.54/1.69 % (3807433)------------------------------
% 6.54/1.69 % (3807446)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2172925117:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.54/1.69 % (3807445)Instruction limit reached!
% 6.54/1.69 % (3807445)------------------------------
% 6.54/1.69 % (3807445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807445)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807445)Termination reason: Instruction limit
% 6.54/1.69 % (3807445)Termination phase: Saturation
% 6.54/1.69 % (3807445)Time elapsed: 0.074 s
% 6.54/1.69 % (3807445)Peak memory usage: 91 MB
% 6.54/1.69 % (3807445)Instructions burned: 157 (million)
% 6.54/1.69 % (3807446)Instruction limit reached!
% 6.54/1.69 % (3807446)------------------------------
% 6.54/1.69 % (3807446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807446)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807446)Termination reason: Instruction limit
% 6.54/1.69 % (3807446)Termination phase: Saturation
% 6.54/1.69 % (3807446)Time elapsed: 0.110 s
% 6.54/1.69 % (3807446)Peak memory usage: 95 MB
% 6.54/1.69 % (3807446)Instructions burned: 327 (million)
% 6.54/1.69 % (3807444)Instruction limit reached!
% 6.54/1.69 % (3807444)------------------------------
% 6.54/1.69 % (3807444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807444)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807444)Termination reason: Instruction limit
% 6.54/1.69 % (3807444)Termination phase: Saturation
% 6.54/1.69 % (3807444)Time elapsed: 0.166 s
% 6.54/1.69 % (3807444)Peak memory usage: 93 MB
% 6.54/1.69 % (3807444)Instructions burned: 286 (million)
% 6.54/1.69 % (3807450)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=3705323378:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.54/1.69 % (3807451)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3793854412:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.54/1.69 % (3807452)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=894191176:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.54/1.69 % (3807453)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2671291230:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.54/1.69 % (3807450)Instruction limit reached!
% 6.54/1.69 % (3807450)------------------------------
% 6.54/1.69 % (3807450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807450)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807450)Termination reason: Instruction limit
% 6.54/1.69 % (3807450)Termination phase: Saturation
% 6.54/1.69 % (3807450)Time elapsed: 0.128 s
% 6.54/1.69 % (3807450)Peak memory usage: 93 MB
% 6.54/1.69 % (3807450)Instructions burned: 248 (million)
% 6.54/1.69 % (3807451)Instruction limit reached!
% 6.54/1.69 % (3807451)------------------------------
% 6.54/1.69 % (3807451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807451)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807451)Termination reason: Instruction limit
% 6.54/1.69 % (3807451)Termination phase: Saturation
% 6.54/1.69 % (3807451)Time elapsed: 0.158 s
% 6.54/1.69 % (3807451)Peak memory usage: 89 MB
% 6.54/1.69 % (3807451)Instructions burned: 294 (million)
% 6.54/1.69 % (3807453)Instruction limit reached!
% 6.54/1.69 % (3807453)------------------------------
% 6.54/1.69 % (3807453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807453)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807453)Termination reason: Instruction limit
% 6.54/1.69 % (3807453)Termination phase: Saturation
% 6.54/1.69 % (3807453)Time elapsed: 0.074 s
% 6.54/1.69 % (3807453)Peak memory usage: 90 MB
% 6.54/1.69 % (3807453)Instructions burned: 113 (million)
% 6.54/1.69 % (3807430)First to succeed.
% 6.54/1.69 % (3807430)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3807425"
% 6.54/1.69 % (3807458)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3604951830:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.54/1.69 % (3807460)lrs+10_1_sil=8000:sp=occurrence:random_seed=2459891844:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.54/1.69 % (3807459)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=962613323:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.54/1.69 % (3807458)Instruction limit reached!
% 6.54/1.69 % (3807458)------------------------------
% 6.54/1.69 % (3807458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807458)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807458)Termination reason: Instruction limit
% 6.54/1.69 % (3807458)Termination phase: Saturation
% 6.54/1.69 % (3807458)Time elapsed: 0.065 s
% 6.54/1.69 % (3807458)Peak memory usage: 90 MB
% 6.54/1.69 % (3807458)Instructions burned: 128 (million)
% 6.54/1.69 % (3807459)Instruction limit reached!
% 6.54/1.69 % (3807459)------------------------------
% 6.54/1.69 % (3807459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.69 % (3807459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.69 % (3807459)CaDiCaL version: 2.1.3
% 6.54/1.69 % (3807459)Termination reason: Instruction limit
% 6.54/1.69 % (3807459)Termination phase: Saturation
% 6.54/1.69 % (3807459)Time elapsed: 0.067 s
% 6.54/1.69 % (3807459)Peak memory usage: 89 MB
% 6.54/1.69 % (3807459)Instructions burned: 115 (million)
% 6.54/1.69 % (3807452)Also succeeded, but the first one will report.
% 6.54/1.69 % (3807430)Refutation found. Thanks to Tanya!
% 6.54/1.69 % SZS status Theorem for theBenchmark
% 6.54/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 7.97/1.79 % (3807430)------------------------------
% 7.97/1.79 % (3807430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.79 % (3807430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.79 % (3807430)CaDiCaL version: 2.1.3
% 7.97/1.79 % (3807430)Termination reason: Refutation
% 7.97/1.79 % (3807430)Time elapsed: 0.681 s
% 7.97/1.79 % (3807430)Peak memory usage: 131 MB
% 7.97/1.79 % (3807430)Instructions burned: 1026 (million)
% 7.97/1.79 % (3807430)------------------------------
% 7.97/1.79 % (3807430)------------------------------
% 7.97/1.79 % (3807425)Success in time 1.101 s
% 7.97/1.79 % Vampire exiting
%------------------------------------------------------------------------------