%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC099+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 : n013.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 01:02:26 PM UTC 2026
% Result : Theorem 6.57s 1.95s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of formulae : 187 ( 20 unt; 14 def)
% Number of atoms : 630 ( 99 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 761 ( 318 ~; 330 |; 63 &)
% ( 22 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 94 !; 18 ?)
% 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(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(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
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
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& frontsegP(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
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& frontsegP(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(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(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
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
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ frontsegP(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
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ frontsegP(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(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f283,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f158]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& frontsegP(sK56,sK55)
& equalelemsP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ equalelemsP(X4) )
& ( ( nil = sK54
& nil != sK53 )
| ( neq(sK54,nil)
& ( ~ neq(sK53,nil)
| ~ frontsegP(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(f311,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X2)
| app(X1,X2) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f242]) ).
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(f420,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f429,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f283]) ).
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,
( nil != sK53
| ~ neq(sK53,nil)
| ~ frontsegP(sK54,sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( nil != sK53
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( nil = sK54
| ~ neq(sK53,nil)
| ~ frontsegP(sK54,sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ segmentP(X4,sK55)
| ~ neq(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ ssList(X4)
| ~ equalelemsP(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
frontsegP(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)
| ~ frontsegP(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(f512,plain,
( nil != sK55
| ~ neq(sK55,nil)
| ~ frontsegP(sK56,sK55) ),
inference(definition_unfolding,[],[f500,f507,f507,f508,f507]) ).
fof(f513,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f508]) ).
fof(f514,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f507]) ).
fof(f517,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f518,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f311]) ).
fof(f550,definition,
( spl57_1
<=> frontsegP(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f551,plain,
( frontsegP(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(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(f560,plain,
( nil != sK55
| spl57_3 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f561,plain,
( ~ spl57_1
| ~ spl57_2
| ~ spl57_3 ),
inference(avatar_split_clause,[],[f512,f558,f554,f550]) ).
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(f603,plain,
spl57_6,
inference(avatar_split_clause,[],[f389,f575]) ).
fof(f605,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f518,f401]) ).
fof(f606,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl57_2 ),
inference(resolution,[],[f387,f556]) ).
fof(f607,plain,
( nil = sK55
| ~ ssList(sK55)
| spl57_2
| ~ spl57_6 ),
inference(forward_subsumption_resolution,[],[f606,f576]) ).
fof(f608,plain,
( nil = sK55
| spl57_2
| ~ spl57_6 ),
inference(forward_subsumption_resolution,[],[f607,f514]) ).
fof(f609,plain,
( spl57_3
| spl57_2
| ~ spl57_6 ),
inference(avatar_split_clause,[],[f608,f575,f554,f558]) ).
fof(f610,plain,
( frontsegP(nil,sK55)
| ~ spl57_1
| ~ spl57_5 ),
inference(superposition,[],[f551,f570]) ).
fof(f611,plain,
( neq(nil,nil)
| ~ spl57_4
| ~ spl57_5 ),
inference(superposition,[],[f565,f570]) ).
fof(f613,plain,
( nil = sK55
| ~ ssList(sK55)
| ~ spl57_1
| ~ spl57_5 ),
inference(resolution,[],[f610,f429]) ).
fof(f614,plain,
( ~ ssList(sK55)
| ~ spl57_1
| spl57_3
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f613,f560]) ).
fof(f615,plain,
( $false
| ~ spl57_1
| spl57_3
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f614,f514]) ).
fof(f616,plain,
( ~ spl57_1
| spl57_3
| ~ spl57_5 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f618,plain,
( ~ neq(nil,nil)
| spl57_2
| ~ spl57_3 ),
inference(superposition,[],[f556,f559]) ).
fof(f622,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ neq(nil,X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ equalelemsP(X0) )
| ~ spl57_3 ),
inference(superposition,[],[f504,f559]) ).
fof(f623,plain,
( ! [X0] :
( ~ frontsegP(sK56,X0)
| ~ neq(nil,X0)
| ~ ssList(X0)
| ~ equalelemsP(X0) )
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f622,f442]) ).
fof(f698,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f513]) ).
fof(f700,definition,
( spl57_14
<=> sK56 = cons(hd(sK56),tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).
fof(f702,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| ~ spl57_14 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f703,plain,
( spl57_14
| spl57_5 ),
inference(avatar_split_clause,[],[f698,f568,f700]) ).
fof(f708,definition,
( spl57_15
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_15])],[avatar_definition]) ).
fof(f709,plain,
( ssList(tl(sK56))
| ~ spl57_15 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f710,plain,
( ~ ssList(tl(sK56))
| spl57_15 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f712,definition,
( spl57_16
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_16])],[avatar_definition]) ).
fof(f713,plain,
( ssItem(hd(sK56))
| ~ spl57_16 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f714,plain,
( ~ ssItem(hd(sK56))
| spl57_16 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f772,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_15 ),
inference(resolution,[],[f710,f399]) ).
fof(f773,plain,
( nil = sK56
| spl57_15 ),
inference(forward_subsumption_resolution,[],[f772,f513]) ).
fof(f774,plain,
( spl57_5
| spl57_15 ),
inference(avatar_split_clause,[],[f773,f708,f568]) ).
fof(f775,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_15 ),
inference(resolution,[],[f709,f477]) ).
fof(f920,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_16 ),
inference(resolution,[],[f714,f397]) ).
fof(f921,plain,
( ~ ssList(sK56)
| spl57_5
| spl57_16 ),
inference(forward_subsumption_resolution,[],[f920,f569]) ).
fof(f922,plain,
( $false
| spl57_5
| spl57_16 ),
inference(forward_subsumption_resolution,[],[f921,f513]) ).
fof(f923,plain,
( spl57_5
| spl57_16 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f942,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_15
| ~ spl57_16 ),
inference(resolution,[],[f713,f775]) ).
fof(f943,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_14
| ~ spl57_15
| ~ spl57_16 ),
inference(forward_demodulation,[],[f942,f702]) ).
fof(f946,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(cons(hd(sK56),nil))
| ~ spl57_14
| ~ spl57_15
| ~ spl57_16 ),
inference(superposition,[],[f605,f943]) ).
fof(f950,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ spl57_14
| ~ spl57_15
| ~ spl57_16 ),
inference(forward_subsumption_resolution,[],[f946,f709]) ).
fof(f953,definition,
( spl57_34
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_34])],[avatar_definition]) ).
fof(f954,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_34 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f955,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_34 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f961,definition,
( spl57_36
<=> frontsegP(sK56,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_36])],[avatar_definition]) ).
fof(f963,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ spl57_36 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f964,plain,
( ~ spl57_34
| spl57_36
| ~ spl57_14
| ~ spl57_15
| ~ spl57_16 ),
inference(avatar_split_clause,[],[f950,f712,f708,f700,f961,f953]) ).
fof(f969,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_34 ),
inference(resolution,[],[f955,f388]) ).
fof(f970,plain,
( ~ ssList(nil)
| ~ spl57_16
| spl57_34 ),
inference(forward_subsumption_resolution,[],[f969,f713]) ).
fof(f971,plain,
( $false
| ~ spl57_6
| ~ spl57_16
| spl57_34 ),
inference(forward_subsumption_resolution,[],[f970,f576]) ).
fof(f972,plain,
( ~ spl57_6
| ~ spl57_16
| spl57_34 ),
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f985,definition,
( spl57_39
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_39])],[avatar_definition]) ).
fof(f986,plain,
( nil != cons(hd(sK56),nil)
| spl57_39 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f987,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_39 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f994,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ equalelemsP(cons(hd(sK56),nil))
| ~ spl57_3
| ~ spl57_36 ),
inference(resolution,[],[f963,f623]) ).
fof(f997,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ equalelemsP(cons(hd(sK56),nil))
| ~ spl57_3
| ~ spl57_34
| ~ spl57_36 ),
inference(forward_subsumption_resolution,[],[f994,f954]) ).
fof(f1004,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_39 ),
inference(superposition,[],[f517,f987]) ).
fof(f1013,plain,
( ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_6
| ~ spl57_39 ),
inference(forward_subsumption_resolution,[],[f1004,f576]) ).
fof(f1019,plain,
( singletonP(nil)
| ~ spl57_6
| ~ spl57_16
| ~ spl57_39 ),
inference(forward_subsumption_resolution,[],[f1013,f713]) ).
fof(f1022,plain,
( $false
| ~ spl57_6
| ~ spl57_16
| ~ spl57_39 ),
inference(forward_subsumption_resolution,[],[f1019,f420]) ).
fof(f1023,plain,
( ~ spl57_6
| ~ spl57_16
| ~ spl57_39 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1025,definition,
( spl57_41
<=> equalelemsP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_41])],[avatar_definition]) ).
fof(f1027,plain,
( ~ equalelemsP(cons(hd(sK56),nil))
| spl57_41 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1029,definition,
( spl57_42
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_42])],[avatar_definition]) ).
fof(f1031,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_42 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1032,plain,
( ~ spl57_41
| ~ spl57_42
| ~ spl57_3
| ~ spl57_34
| ~ spl57_36 ),
inference(avatar_split_clause,[],[f997,f961,f953,f558,f1029,f1025]) ).
fof(f1033,plain,
( ~ ssItem(hd(sK56))
| spl57_41 ),
inference(resolution,[],[f1027,f467]) ).
fof(f1034,plain,
( $false
| ~ spl57_16
| spl57_41 ),
inference(forward_subsumption_resolution,[],[f1033,f713]) ).
fof(f1035,plain,
( ~ spl57_16
| spl57_41 ),
inference(avatar_contradiction_clause,[],[f1034]) ).
fof(f1037,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_42 ),
inference(resolution,[],[f1031,f387]) ).
fof(f1038,plain,
( ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_39
| spl57_42 ),
inference(forward_subsumption_resolution,[],[f1037,f986]) ).
fof(f1040,plain,
( ~ ssList(nil)
| ~ spl57_34
| spl57_39
| spl57_42 ),
inference(forward_subsumption_resolution,[],[f1038,f954]) ).
fof(f1046,plain,
( $false
| ~ spl57_6
| ~ spl57_34
| spl57_39
| spl57_42 ),
inference(forward_subsumption_resolution,[],[f1040,f576]) ).
fof(f1047,plain,
( ~ spl57_6
| ~ spl57_34
| spl57_39
| spl57_42 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1049,plain,
( $false
| spl57_2
| ~ spl57_3
| ~ spl57_4
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f611,f618]) ).
fof(f1050,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_4
| ~ spl57_5 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2
| ~ spl57_3 ),
inference(sat_conversion,[],[f561]) ).
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(s13,plain,
spl57_6,
inference(sat_conversion,[],[f603]) ).
cnf(s14,plain,
( spl57_2
| spl57_3
| ~ spl57_6 ),
inference(sat_conversion,[],[f609]) ).
cnf(s15,plain,
( ~ spl57_1
| spl57_3
| ~ spl57_5 ),
inference(sat_conversion,[],[f616]) ).
cnf(s18,plain,
( spl57_5
| spl57_14 ),
inference(sat_conversion,[],[f703]) ).
cnf(s23,plain,
( spl57_5
| spl57_15 ),
inference(sat_conversion,[],[f774]) ).
cnf(s33,plain,
( spl57_5
| spl57_16 ),
inference(sat_conversion,[],[f923]) ).
cnf(s37,plain,
( ~ spl57_14
| ~ spl57_15
| ~ spl57_16
| ~ spl57_34
| spl57_36 ),
inference(sat_conversion,[],[f964]) ).
cnf(s39,plain,
( ~ spl57_6
| ~ spl57_16
| spl57_34 ),
inference(sat_conversion,[],[f972]) ).
cnf(s45,plain,
( ~ spl57_6
| ~ spl57_16
| ~ spl57_39 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s46,plain,
( ~ spl57_3
| ~ spl57_34
| ~ spl57_36
| ~ spl57_41
| ~ spl57_42 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s47,plain,
( ~ spl57_16
| spl57_41 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s49,plain,
( ~ spl57_6
| ~ spl57_34
| spl57_39
| spl57_42 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s50,plain,
( spl57_2
| ~ spl57_3
| ~ spl57_4
| ~ spl57_5 ),
inference(sat_conversion,[],[f1050]) ).
cnf(s56,plain,
( ~ spl57_2
| spl57_5 ),
inference(rat,[],[s3,s5]) ).
cnf(s57,plain,
( ~ spl57_2
| ~ spl57_3 ),
inference(rat,[],[s1,s5]) ).
cnf(s58,plain,
( ~ spl57_4
| ~ spl57_3
| spl57_2 ),
inference(rat,[],[s46,s49,s37,s39,s45,s47,s18,s23,s33,s50,s13]) ).
cnf(s59,plain,
spl57_2,
inference(rat,[],[s58,s2,s14,s13]) ).
cnf(s60,plain,
spl57_5,
inference(rat,[],[s56,s59]) ).
cnf(s61,plain,
~ spl57_3,
inference(rat,[],[s57,s59]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s15,s5,s60,s61]) ).
fof(f1061,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC099+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 07:51:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.57/1.95 % (1009182)Detected formulas, will run a generic FOF schedule.
% 6.57/1.95 % (1009190)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4252275049:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.57/1.95 % (1009190)Refutation not found, incomplete strategy
% 6.57/1.95 % (1009190)------------------------------
% 6.57/1.95 % (1009190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009190)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009190)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.95 % (1009190)Time elapsed: 0.003 s
% 6.57/1.95 % (1009190)Peak memory usage: 88 MB
% 6.57/1.95 % (1009190)Instructions burned: 6 (million)
% 6.57/1.95 % (1009192)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4082376034:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.57/1.95 % (1009191)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2154385002:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.57/1.95 % (1009187)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=1334991921:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.57/1.95 % (1009188)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=1981510458:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.57/1.95 % (1009193)dis-21_1_sil=8000:lcm=predicate:random_seed=1231499173: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)
% 6.57/1.95 % (1009189)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=2821019178:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.57/1.95 % (1009191)Instruction limit reached!
% 6.57/1.95 % (1009191)------------------------------
% 6.57/1.95 % (1009191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009191)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009191)Termination reason: Instruction limit
% 6.57/1.95 % (1009191)Termination phase: Saturation
% 6.57/1.95 % (1009191)Time elapsed: 0.072 s
% 6.57/1.95 % (1009191)Peak memory usage: 88 MB
% 6.57/1.95 % (1009191)Instructions burned: 120 (million)
% 6.57/1.95 % (1009193)Instruction limit reached!
% 6.57/1.95 % (1009193)------------------------------
% 6.57/1.95 % (1009193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009193)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009193)Termination reason: Instruction limit
% 6.57/1.95 % (1009193)Termination phase: Saturation
% 6.57/1.95 % (1009193)Time elapsed: 0.074 s
% 6.57/1.95 % (1009193)Peak memory usage: 90 MB
% 6.57/1.95 % (1009193)Instructions burned: 130 (million)
% 6.57/1.95 % (1009192)Instruction limit reached!
% 6.57/1.95 % (1009192)------------------------------
% 6.57/1.95 % (1009192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009192)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009192)Termination reason: Instruction limit
% 6.57/1.95 % (1009192)Termination phase: Saturation
% 6.57/1.95 % (1009192)Time elapsed: 0.096 s
% 6.57/1.95 % (1009192)Peak memory usage: 90 MB
% 6.57/1.95 % (1009192)Instructions burned: 140 (million)
% 6.57/1.95 % (1009190)------------------------------
% 6.57/1.95 % (1009190)------------------------------
% 6.57/1.95 % (1009204)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=2518252616:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.57/1.95 % (1009202)lrs+10_1_sil=32000:urr=on:br=off:random_seed=409872729:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.57/1.95 % (1009201)lrs+10_1_sil=8000:sp=occurrence:random_seed=4251393986:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.57/1.95 % (1009203)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2674469249:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.57/1.95 % (1009204)Instruction limit reached!
% 6.57/1.95 % (1009204)------------------------------
% 6.57/1.95 % (1009204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009204)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009204)Termination reason: Instruction limit
% 6.57/1.95 % (1009204)Termination phase: Saturation
% 6.57/1.95 % (1009204)Time elapsed: 0.067 s
% 6.57/1.95 % (1009204)Peak memory usage: 92 MB
% 6.57/1.95 % (1009204)Instructions burned: 249 (million)
% 6.57/1.95 % (1009202)Instruction limit reached!
% 6.57/1.95 % (1009202)------------------------------
% 6.57/1.95 % (1009202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009202)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009202)Termination reason: Instruction limit
% 6.57/1.95 % (1009202)Termination phase: Saturation
% 6.57/1.95 % (1009202)Time elapsed: 0.078 s
% 6.57/1.95 % (1009202)Peak memory usage: 91 MB
% 6.57/1.95 % (1009202)Instructions burned: 158 (million)
% 6.57/1.95 % (1009209)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4059186702:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.57/1.95 % (1009201)Instruction limit reached!
% 6.57/1.95 % (1009201)------------------------------
% 6.57/1.95 % (1009201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009201)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009201)Termination reason: Instruction limit
% 6.57/1.95 % (1009201)Termination phase: Saturation
% 6.57/1.95 % (1009201)Time elapsed: 0.177 s
% 6.57/1.95 % (1009201)Peak memory usage: 93 MB
% 6.57/1.95 % (1009201)Instructions burned: 285 (million)
% 6.57/1.95 % (1009210)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=702854861:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.57/1.95 % (1009203)Instruction limit reached!
% 6.57/1.95 % (1009203)------------------------------
% 6.57/1.95 % (1009203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009203)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009203)Termination reason: Instruction limit
% 6.57/1.95 % (1009203)Termination phase: Saturation
% 6.57/1.95 % (1009203)Time elapsed: 0.190 s
% 6.57/1.95 % (1009203)Peak memory usage: 94 MB
% 6.57/1.95 % (1009203)Instructions burned: 327 (million)
% 6.57/1.95 % (1009209)Instruction limit reached!
% 6.57/1.95 % (1009209)------------------------------
% 6.57/1.95 % (1009209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009209)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009209)Termination reason: Instruction limit
% 6.57/1.95 % (1009209)Termination phase: Saturation
% 6.57/1.95 % (1009209)Time elapsed: 0.074 s
% 6.57/1.95 % (1009209)Peak memory usage: 88 MB
% 6.57/1.95 % (1009209)Instructions burned: 297 (million)
% 6.57/1.95 % (1009215)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2537790092:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.57/1.95 % (1009212)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3973019479:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.57/1.95 % (1009214)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3533286989:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.57/1.95 % (1009215)Instruction limit reached!
% 6.57/1.95 % (1009215)------------------------------
% 6.57/1.95 % (1009215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009215)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009215)Termination reason: Instruction limit
% 6.57/1.95 % (1009215)Termination phase: Saturation
% 6.57/1.95 % (1009215)Time elapsed: 0.038 s
% 6.57/1.95 % (1009215)Peak memory usage: 89 MB
% 6.57/1.95 % (1009215)Instructions burned: 117 (million)
% 6.57/1.95 % (1009212)Instruction limit reached!
% 6.57/1.95 % (1009212)------------------------------
% 6.57/1.95 % (1009212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009212)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009212)Termination reason: Instruction limit
% 6.57/1.95 % (1009212)Termination phase: Saturation
% 6.57/1.95 % (1009212)Time elapsed: 0.079 s
% 6.57/1.95 % (1009212)Peak memory usage: 90 MB
% 6.57/1.95 % (1009212)Instructions burned: 114 (million)
% 6.57/1.95 % (1009214)Instruction limit reached!
% 6.57/1.95 % (1009214)------------------------------
% 6.57/1.95 % (1009214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009214)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009214)Termination reason: Instruction limit
% 6.57/1.95 % (1009214)Termination phase: Saturation
% 6.57/1.95 % (1009214)Time elapsed: 0.064 s
% 6.57/1.95 % (1009214)Peak memory usage: 89 MB
% 6.57/1.95 % (1009214)Instructions burned: 127 (million)
% 6.57/1.95 % (1009219)lrs+10_1_sil=8000:sp=occurrence:random_seed=1179120952:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.57/1.95 % (1009187)First to succeed.
% 6.57/1.95 % (1009187)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1009182"
% 6.57/1.95 % (1009221)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=885146872:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.57/1.95 % (1009220)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3046810119:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.57/1.95 % (1009188)Also succeeded, but the first one will report.
% 6.57/1.95 % (1009220)Instruction limit reached!
% 6.57/1.95 % (1009220)------------------------------
% 6.57/1.95 % (1009220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009220)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009220)Termination reason: Instruction limit
% 6.57/1.95 % (1009220)Termination phase: Saturation
% 6.57/1.95 % (1009220)Time elapsed: 0.162 s
% 6.57/1.95 % (1009220)Peak memory usage: 88 MB
% 6.57/1.95 % (1009220)Instructions burned: 438 (million)
% 6.57/1.95 % (1009219)Instruction limit reached!
% 6.57/1.95 % (1009219)------------------------------
% 6.57/1.95 % (1009219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.95 % (1009219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.95 % (1009219)CaDiCaL version: 2.1.3
% 6.57/1.95 % (1009219)Termination reason: Instruction limit
% 6.57/1.95 % (1009219)Termination phase: Saturation
% 6.57/1.95 % (1009219)Time elapsed: 0.292 s
% 6.57/1.95 % (1009219)Peak memory usage: 101 MB
% 6.57/1.95 % (1009219)Instructions burned: 911 (million)
% 6.57/1.95 % (1009187)Refutation found. Thanks to Tanya!
% 6.57/1.95 % SZS status Theorem for theBenchmark
% 6.57/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/2.14 % (1009187)------------------------------
% 0.13/2.14 % (1009187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.13/2.14 % (1009187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/2.14 % (1009187)CaDiCaL version: 2.1.3
% 0.13/2.14 % (1009187)Termination reason: Refutation
% 0.13/2.14 % (1009187)Time elapsed: 0.703 s
% 0.13/2.14 % (1009187)Peak memory usage: 130 MB
% 0.13/2.14 % (1009187)Instructions burned: 1051 (million)
% 0.13/2.14 % (1009187)------------------------------
% 0.13/2.14 % (1009187)------------------------------
% 0.13/2.14 % (1009182)Success in time 1.113 s
% 0.13/2.14 % Vampire exiting
%------------------------------------------------------------------------------