%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC111+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 : n014.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 01:02:29 PM UTC 2026
% Result : Theorem 6.63s 1.96s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 186 ( 21 unt; 14 def)
% Number of atoms : 651 ( 88 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 812 ( 347 ~; 360 |; 59 &)
% ( 18 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 91 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
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
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(X1,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
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
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(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(f180,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
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
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ 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
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
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
& segmentP(sK56,sK55)
& totalorderedP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ segmentP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ totalorderedP(X4) )
& ( ( nil = sK54
& nil != sK53 )
| ( neq(sK54,nil)
& ( ~ 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(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(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(f451,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f452,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
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(f501,plain,
( nil != sK53
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( nil = sK54
| ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ segmentP(sK56,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4)
| ~ segmentP(X4,sK55)
| ~ totalorderedP(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
( nil = sK56
| ~ neq(sK55,nil)
| ~ segmentP(sK56,sK55) ),
inference(definition_unfolding,[],[f502,f508,f507,f508,f507]) ).
fof(f511,plain,
( nil != sK55
| neq(sK56,nil) ),
inference(definition_unfolding,[],[f501,f507,f508]) ).
fof(f513,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f508]) ).
fof(f514,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f507]) ).
fof(f520,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(f550,definition,
( spl57_1
<=> segmentP(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f551,plain,
( segmentP(sK56,sK55)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f554,definition,
( spl57_2
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f555,plain,
( neq(sK55,nil)
| ~ spl57_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( ~ neq(sK55,nil)
| spl57_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f558,definition,
( spl57_3
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f559,plain,
( nil = sK55
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f563,definition,
( spl57_4
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).
fof(f565,plain,
( neq(sK56,nil)
| ~ spl57_4 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( spl57_4
| ~ spl57_3 ),
inference(avatar_split_clause,[],[f511,f558,f563]) ).
fof(f568,definition,
( spl57_5
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).
fof(f569,plain,
( nil != sK56
| spl57_5 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( nil = sK56
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f571,plain,
( ~ spl57_1
| ~ spl57_2
| spl57_5 ),
inference(avatar_split_clause,[],[f510,f568,f554,f550]) ).
fof(f573,plain,
spl57_1,
inference(avatar_split_clause,[],[f506,f550]) ).
fof(f575,definition,
( spl57_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl57_6])],[avatar_definition]) ).
fof(f576,plain,
( ssList(nil)
| ~ spl57_6 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f584,definition,
( spl57_8
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl57_8])],[avatar_definition]) ).
fof(f585,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl57_8 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
spl57_8,
inference(avatar_split_clause,[],[f451,f584]) ).
fof(f603,plain,
spl57_6,
inference(avatar_split_clause,[],[f389,f575]) ).
fof(f607,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl57_2 ),
inference(resolution,[],[f387,f556]) ).
fof(f608,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_2
| ~ spl57_6 ),
inference(forward_subsumption_resolution,[],[f607,f576]) ).
fof(f609,plain,
( nil = sK55
| spl57_2
| ~ spl57_6 ),
inference(forward_subsumption_resolution,[],[f608,f514]) ).
fof(f610,plain,
( spl57_3
| spl57_2
| ~ spl57_6 ),
inference(avatar_split_clause,[],[f609,f575,f554,f558]) ).
fof(f613,plain,
( neq(nil,nil)
| ~ spl57_4
| ~ spl57_5 ),
inference(superposition,[],[f565,f570]) ).
fof(f616,plain,
( ~ ssList(sK56)
| ~ neq(sK55,sK56)
| ~ ssList(sK56)
| ~ segmentP(sK56,sK55)
| ~ totalorderedP(sK56) ),
inference(resolution,[],[f440,f504]) ).
fof(f619,plain,
( ~ ssList(sK56)
| ~ neq(sK55,sK56)
| ~ segmentP(sK56,sK55)
| ~ totalorderedP(sK56) ),
inference(duplicate_literal_removal,[],[f616]) ).
fof(f621,plain,
( ~ neq(sK55,sK56)
| ~ segmentP(sK56,sK55)
| ~ totalorderedP(sK56) ),
inference(forward_subsumption_resolution,[],[f619,f513]) ).
fof(f623,plain,
( ~ neq(sK55,sK56)
| ~ totalorderedP(sK56)
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f621,f551]) ).
fof(f625,plain,
( ~ neq(sK55,nil)
| ~ totalorderedP(sK56)
| ~ spl57_1
| ~ spl57_5 ),
inference(forward_demodulation,[],[f623,f570]) ).
fof(f628,plain,
( ~ totalorderedP(sK56)
| ~ spl57_1
| ~ spl57_2
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f625,f555]) ).
fof(f629,plain,
( ~ totalorderedP(nil)
| ~ spl57_1
| ~ spl57_2
| ~ spl57_5 ),
inference(forward_demodulation,[],[f628,f570]) ).
fof(f630,plain,
( $false
| ~ spl57_1
| ~ spl57_2
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f629,f452]) ).
fof(f631,plain,
( ~ spl57_1
| ~ spl57_2
| ~ spl57_5 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f633,plain,
( ~ neq(nil,nil)
| spl57_2
| ~ spl57_3 ),
inference(superposition,[],[f556,f559]) ).
fof(f639,plain,
( $false
| spl57_2
| ~ spl57_3
| ~ spl57_4
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f633,f613]) ).
fof(f640,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_4
| ~ spl57_5 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f679,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f513]) ).
fof(f680,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| spl57_5 ),
inference(forward_subsumption_resolution,[],[f679,f569]) ).
fof(f687,definition,
( spl57_14
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).
fof(f688,plain,
( ssItem(hd(sK56))
| ~ spl57_14 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( ~ ssItem(hd(sK56))
| spl57_14 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f691,definition,
( spl57_15
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_15])],[avatar_definition]) ).
fof(f692,plain,
( ssList(tl(sK56))
| ~ spl57_15 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( ~ ssList(tl(sK56))
| spl57_15 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f707,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_14 ),
inference(resolution,[],[f689,f397]) ).
fof(f708,plain,
( ~ ssList(sK56)
| spl57_5
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f707,f569]) ).
fof(f709,plain,
( $false
| spl57_5
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f708,f513]) ).
fof(f710,plain,
( spl57_5
| spl57_14 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f711,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_15 ),
inference(resolution,[],[f399,f693]) ).
fof(f715,plain,
( ~ ssList(sK56)
| spl57_5
| spl57_15 ),
inference(forward_subsumption_resolution,[],[f711,f569]) ).
fof(f716,plain,
( $false
| spl57_5
| spl57_15 ),
inference(forward_subsumption_resolution,[],[f715,f513]) ).
fof(f717,plain,
( spl57_5
| spl57_15 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f734,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_15 ),
inference(resolution,[],[f477,f692]) ).
fof(f739,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_14
| ~ spl57_15 ),
inference(resolution,[],[f734,f688]) ).
fof(f740,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| spl57_5
| ~ spl57_14
| ~ spl57_15 ),
inference(forward_demodulation,[],[f739,f680]) ).
fof(f748,definition,
( spl57_21
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_21])],[avatar_definition]) ).
fof(f749,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_21 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_21 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f756,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_21 ),
inference(resolution,[],[f750,f388]) ).
fof(f757,plain,
( ~ ssList(nil)
| ~ spl57_14
| spl57_21 ),
inference(forward_subsumption_resolution,[],[f756,f688]) ).
fof(f758,plain,
( $false
| ~ spl57_6
| ~ spl57_14
| spl57_21 ),
inference(forward_subsumption_resolution,[],[f757,f576]) ).
fof(f759,plain,
( ~ spl57_6
| ~ spl57_14
| spl57_21 ),
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f763,plain,
( cons(hd(sK56),nil) = app(nil,cons(hd(sK56),nil))
| ~ spl57_21 ),
inference(resolution,[],[f749,f403]) ).
fof(f769,definition,
( spl57_24
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_24])],[avatar_definition]) ).
fof(f771,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_24 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f774,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_21 ),
inference(superposition,[],[f520,f763]) ).
fof(f777,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_6
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f774,f576]) ).
fof(f779,plain,
( ! [X0] :
( segmentP(app(cons(hd(sK56),nil),X0),cons(hd(sK56),nil))
| ~ ssList(X0)
| ~ ssList(app(cons(hd(sK56),nil),X0)) )
| ~ spl57_6
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f777,f749]) ).
fof(f781,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(sK56)
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(superposition,[],[f779,f740]) ).
fof(f782,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| ~ ssList(sK56)
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f781,f692]) ).
fof(f783,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f782,f513]) ).
fof(f784,plain,
( ~ neq(sK55,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ totalorderedP(cons(hd(sK56),nil))
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(resolution,[],[f783,f504]) ).
fof(f785,plain,
( ~ neq(sK55,cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ totalorderedP(cons(hd(sK56),nil))
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f784,f749]) ).
fof(f786,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ totalorderedP(cons(hd(sK56),nil))
| ~ spl57_3
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(forward_demodulation,[],[f785,f559]) ).
fof(f787,plain,
( ~ segmentP(cons(hd(sK56),nil),nil)
| ~ neq(nil,cons(hd(sK56),nil))
| ~ totalorderedP(cons(hd(sK56),nil))
| ~ spl57_3
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(forward_demodulation,[],[f786,f559]) ).
fof(f789,definition,
( spl57_25
<=> totalorderedP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_25])],[avatar_definition]) ).
fof(f791,plain,
( ~ totalorderedP(cons(hd(sK56),nil))
| spl57_25 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f793,definition,
( spl57_26
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_26])],[avatar_definition]) ).
fof(f795,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_26 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f797,definition,
( spl57_27
<=> segmentP(cons(hd(sK56),nil),nil) ),
introduced(definition,[new_symbols(definition,[spl57_27])],[avatar_definition]) ).
fof(f799,plain,
( ~ segmentP(cons(hd(sK56),nil),nil)
| spl57_27 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f800,plain,
( ~ spl57_25
| ~ spl57_26
| ~ spl57_27
| ~ spl57_3
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21 ),
inference(avatar_split_clause,[],[f787,f748,f691,f687,f575,f568,f558,f797,f793,f789]) ).
fof(f801,plain,
( ~ ssItem(hd(sK56))
| ~ spl57_8
| spl57_25 ),
inference(resolution,[],[f791,f585]) ).
fof(f802,plain,
( $false
| ~ spl57_8
| ~ spl57_14
| spl57_25 ),
inference(forward_subsumption_resolution,[],[f801,f688]) ).
fof(f803,plain,
( ~ spl57_8
| ~ spl57_14
| spl57_25 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f804,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_26 ),
inference(resolution,[],[f795,f387]) ).
fof(f805,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(nil)
| ~ spl57_21
| spl57_26 ),
inference(forward_subsumption_resolution,[],[f804,f749]) ).
fof(f806,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_6
| ~ spl57_21
| spl57_26 ),
inference(forward_subsumption_resolution,[],[f805,f576]) ).
fof(f807,plain,
( spl57_24
| ~ spl57_6
| ~ spl57_21
| spl57_26 ),
inference(avatar_split_clause,[],[f806,f793,f748,f575,f769]) ).
fof(f816,plain,
( nil != nil
| ~ ssItem(hd(sK56))
| ~ ssList(nil)
| ~ spl57_24 ),
inference(superposition,[],[f390,f771]) ).
fof(f819,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| ~ spl57_24 ),
inference(trivial_inequality_removal,[],[f816]) ).
fof(f822,plain,
( ~ ssList(nil)
| ~ spl57_14
| ~ spl57_24 ),
inference(forward_subsumption_resolution,[],[f819,f688]) ).
fof(f826,plain,
( $false
| ~ spl57_6
| ~ spl57_14
| ~ spl57_24 ),
inference(forward_subsumption_resolution,[],[f822,f576]) ).
fof(f827,plain,
( ~ spl57_6
| ~ spl57_14
| ~ spl57_24 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f830,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_27 ),
inference(resolution,[],[f799,f442]) ).
fof(f831,plain,
( $false
| ~ spl57_21
| spl57_27 ),
inference(forward_subsumption_resolution,[],[f830,f749]) ).
fof(f832,plain,
( ~ spl57_21
| spl57_27 ),
inference(avatar_contradiction_clause,[],[f831]) ).
cnf(s2,plain,
( ~ spl57_3
| spl57_4 ),
inference(sat_conversion,[],[f566]) ).
cnf(s3,plain,
( ~ spl57_1
| ~ spl57_2
| spl57_5 ),
inference(sat_conversion,[],[f571]) ).
cnf(s5,plain,
spl57_1,
inference(sat_conversion,[],[f573]) ).
cnf(s9,plain,
spl57_8,
inference(sat_conversion,[],[f587]) ).
cnf(s13,plain,
spl57_6,
inference(sat_conversion,[],[f603]) ).
cnf(s14,plain,
( spl57_2
| spl57_3
| ~ spl57_6 ),
inference(sat_conversion,[],[f610]) ).
cnf(s16,plain,
( ~ spl57_1
| ~ spl57_2
| ~ spl57_5 ),
inference(sat_conversion,[],[f631]) ).
cnf(s18,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_4
| ~ spl57_5 ),
inference(sat_conversion,[],[f640]) ).
cnf(s23,plain,
( spl57_5
| spl57_14 ),
inference(sat_conversion,[],[f710]) ).
cnf(s24,plain,
( spl57_5
| spl57_15 ),
inference(sat_conversion,[],[f717]) ).
cnf(s27,plain,
( ~ spl57_6
| ~ spl57_14
| spl57_21 ),
inference(sat_conversion,[],[f759]) ).
cnf(s29,plain,
( ~ spl57_3
| spl57_5
| ~ spl57_6
| ~ spl57_14
| ~ spl57_15
| ~ spl57_21
| ~ spl57_25
| ~ spl57_26
| ~ spl57_27 ),
inference(sat_conversion,[],[f800]) ).
cnf(s30,plain,
( ~ spl57_8
| ~ spl57_14
| spl57_25 ),
inference(sat_conversion,[],[f803]) ).
cnf(s31,plain,
( ~ spl57_6
| ~ spl57_21
| spl57_24
| spl57_26 ),
inference(sat_conversion,[],[f807]) ).
cnf(s32,plain,
( ~ spl57_6
| ~ spl57_14
| ~ spl57_24 ),
inference(sat_conversion,[],[f827]) ).
cnf(s34,plain,
( ~ spl57_21
| spl57_27 ),
inference(sat_conversion,[],[f832]) ).
cnf(s38,plain,
( ~ spl57_2
| spl57_5 ),
inference(rat,[],[s3,s5]) ).
cnf(s40,plain,
( ~ spl57_4
| ~ spl57_3
| spl57_2 ),
inference(rat,[],[s29,s31,s34,s27,s30,s32,s23,s24,s18,s9,s13]) ).
cnf(s41,plain,
spl57_2,
inference(rat,[],[s40,s2,s14,s13]) ).
cnf(s42,plain,
~ spl57_5,
inference(rat,[],[s16,s5,s41]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s38,s42,s41]) ).
fof(f833,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC111+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.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 07:55:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.63/1.96 % (1617391)Detected formulas, will run a generic FOF schedule.
% 6.63/1.96 % (1617400)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=587775910:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.63/1.96 % (1617402)dis-21_1_sil=8000:lcm=predicate:random_seed=95631163: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)
% 6.63/1.96 % (1617398)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=483688126:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.63/1.96 % (1617399)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=498080047:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.63/1.96 % (1617396)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=144383728:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.63/1.96 % (1617397)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=4005218963:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.63/1.96 % (1617401)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=317044793:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.63/1.96 % (1617399)Refutation not found, incomplete strategy
% 6.63/1.96 % (1617399)------------------------------
% 6.63/1.96 % (1617399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617399)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617399)Termination reason: Refutation not found, incomplete strategy
% 6.63/1.96 % (1617399)Time elapsed: 0.005 s
% 6.63/1.96 % (1617399)Peak memory usage: 88 MB
% 6.63/1.96 % (1617399)Instructions burned: 5 (million)
% 6.63/1.96 % (1617400)Instruction limit reached!
% 6.63/1.96 % (1617400)------------------------------
% 6.63/1.96 % (1617400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617400)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617400)Termination reason: Instruction limit
% 6.63/1.96 % (1617400)Termination phase: Saturation
% 6.63/1.96 % (1617400)Time elapsed: 0.038 s
% 6.63/1.96 % (1617400)Peak memory usage: 88 MB
% 6.63/1.96 % (1617400)Instructions burned: 122 (million)
% 6.63/1.96 % (1617402)Instruction limit reached!
% 6.63/1.96 % (1617402)------------------------------
% 6.63/1.96 % (1617402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617402)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617402)Termination reason: Instruction limit
% 6.63/1.96 % (1617402)Termination phase: Saturation
% 6.63/1.96 % (1617402)Time elapsed: 0.074 s
% 6.63/1.96 % (1617402)Peak memory usage: 90 MB
% 6.63/1.96 % (1617402)Instructions burned: 129 (million)
% 6.63/1.96 % (1617401)Instruction limit reached!
% 6.63/1.96 % (1617401)------------------------------
% 6.63/1.96 % (1617401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617401)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617401)Termination reason: Instruction limit
% 6.63/1.96 % (1617401)Termination phase: Saturation
% 6.63/1.96 % (1617401)Time elapsed: 0.094 s
% 6.63/1.96 % (1617401)Peak memory usage: 90 MB
% 6.63/1.96 % (1617401)Instructions burned: 139 (million)
% 6.63/1.96 % (1617410)lrs+10_1_sil=8000:sp=occurrence:random_seed=3525165667:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.63/1.96 % (1617410)Instruction limit reached!
% 6.63/1.96 % (1617410)------------------------------
% 6.63/1.96 % (1617410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617410)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617410)Termination reason: Instruction limit
% 6.63/1.96 % (1617410)Termination phase: Saturation
% 6.63/1.96 % (1617410)Time elapsed: 0.088 s
% 6.63/1.96 % (1617410)Peak memory usage: 93 MB
% 6.63/1.96 % (1617410)Instructions burned: 285 (million)
% 6.63/1.96 % (1617411)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2466438843:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.63/1.96 % (1617399)------------------------------
% 6.63/1.96 % (1617399)------------------------------
% 6.63/1.96 % (1617412)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3811773370:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.63/1.96 % (1617411)Instruction limit reached!
% 6.63/1.96 % (1617411)------------------------------
% 6.63/1.96 % (1617411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617411)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617411)Termination reason: Instruction limit
% 6.63/1.96 % (1617411)Termination phase: Saturation
% 6.63/1.96 % (1617411)Time elapsed: 0.077 s
% 6.63/1.96 % (1617411)Peak memory usage: 91 MB
% 6.63/1.96 % (1617411)Instructions burned: 158 (million)
% 6.63/1.96 % (1617414)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=3983880755:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.63/1.96 % (1617414)Instruction limit reached!
% 6.63/1.96 % (1617414)------------------------------
% 6.63/1.96 % (1617414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617414)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617414)Termination reason: Instruction limit
% 6.63/1.96 % (1617414)Termination phase: Saturation
% 6.63/1.96 % (1617414)Time elapsed: 0.068 s
% 6.63/1.96 % (1617414)Peak memory usage: 93 MB
% 6.63/1.96 % (1617414)Instructions burned: 251 (million)
% 6.63/1.96 % (1617416)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4182644527:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.63/1.96 % (1617412)Instruction limit reached!
% 6.63/1.96 % (1617412)------------------------------
% 6.63/1.96 % (1617412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617412)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617412)Termination reason: Instruction limit
% 6.63/1.96 % (1617412)Termination phase: Saturation
% 6.63/1.96 % (1617412)Time elapsed: 0.184 s
% 6.63/1.96 % (1617412)Peak memory usage: 91 MB
% 6.63/1.96 % (1617412)Instructions burned: 325 (million)
% 6.63/1.96 % (1617418)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=154855166:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.63/1.96 % (1617420)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3147034299:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.63/1.96 % (1617416)Instruction limit reached!
% 6.63/1.96 % (1617416)------------------------------
% 6.63/1.96 % (1617416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617416)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617416)Termination reason: Instruction limit
% 6.63/1.96 % (1617416)Termination phase: Saturation
% 6.63/1.96 % (1617416)Time elapsed: 0.141 s
% 6.63/1.96 % (1617416)Peak memory usage: 88 MB
% 6.63/1.96 % (1617416)Instructions burned: 295 (million)
% 6.63/1.96 % (1617420)Instruction limit reached!
% 6.63/1.96 % (1617420)------------------------------
% 6.63/1.96 % (1617420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617420)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617420)Termination reason: Instruction limit
% 6.63/1.96 % (1617420)Termination phase: Saturation
% 6.63/1.96 % (1617420)Time elapsed: 0.042 s
% 6.63/1.96 % (1617420)Peak memory usage: 90 MB
% 6.63/1.96 % (1617420)Instructions burned: 115 (million)
% 6.63/1.96 % (1617422)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3354479061:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.63/1.96 % (1617422)Instruction limit reached!
% 6.63/1.96 % (1617422)------------------------------
% 6.63/1.96 % (1617422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617422)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617422)Termination reason: Instruction limit
% 6.63/1.96 % (1617422)Termination phase: Saturation
% 6.63/1.96 % (1617422)Time elapsed: 0.065 s
% 6.63/1.96 % (1617422)Peak memory usage: 90 MB
% 6.63/1.96 % (1617422)Instructions burned: 129 (million)
% 6.63/1.96 % (1617396)First to succeed.
% 6.63/1.96 % (1617426)lrs+10_1_sil=8000:sp=occurrence:random_seed=2510670467:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.63/1.96 % (1617396)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1617391"
% 6.63/1.96 % (1617425)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=994240255:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.63/1.96 % (1617397)Also succeeded, but the first one will report.
% 6.63/1.96 % (1617425)Instruction limit reached!
% 6.63/1.96 % (1617425)------------------------------
% 6.63/1.96 % (1617425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/1.96 % (1617425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/1.96 % (1617425)CaDiCaL version: 2.1.3
% 6.63/1.96 % (1617425)Termination reason: Instruction limit
% 6.63/1.96 % (1617425)Termination phase: Saturation
% 6.63/1.96 % (1617425)Time elapsed: 0.071 s
% 6.63/1.96 % (1617425)Peak memory usage: 89 MB
% 6.63/1.96 % (1617425)Instructions burned: 115 (million)
% 6.63/1.96 % (1617428)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=445916441:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.63/1.96 % (1617396)Refutation found. Thanks to Tanya!
% 6.63/1.96 % SZS status Theorem for theBenchmark
% 6.63/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.16 % (1617396)------------------------------
% 0.15/2.16 % (1617396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.16 % (1617396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.16 % (1617396)CaDiCaL version: 2.1.3
% 0.15/2.16 % (1617396)Termination reason: Refutation
% 0.15/2.16 % (1617396)Time elapsed: 0.672 s
% 0.15/2.16 % (1617396)Peak memory usage: 129 MB
% 0.15/2.16 % (1617396)Instructions burned: 1011 (million)
% 0.15/2.16 % (1617396)------------------------------
% 0.15/2.16 % (1617396)------------------------------
% 0.15/2.16 % (1617391)Success in time 1.111 s
% 0.15/2.16 % Vampire exiting
%------------------------------------------------------------------------------