%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC021+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 01:02:04 PM UTC 2026
% Result : Theorem 6.48s 1.94s
% Output : Refutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of formulae : 177 ( 27 unt; 13 def)
% Number of atoms : 581 ( 88 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 694 ( 290 ~; 302 |; 55 &)
% ( 17 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 98 !; 16 ?)
% 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(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(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
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)
& frontsegP(X1,X4)
& frontsegP(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)
& frontsegP(X1,X4)
& frontsegP(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(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(f153,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
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)
| ~ frontsegP(X1,X4)
| ~ frontsegP(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)
| ~ frontsegP(X1,X4)
| ~ frontsegP(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(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)
| ~ frontsegP(sK54,X4)
| ~ frontsegP(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(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(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(f423,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
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)
| ~ frontsegP(sK54,X4)
| ~ frontsegP(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] :
( ~ frontsegP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ frontsegP(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(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(f586,plain,
( ~ neq(sK55,nil)
| ~ ssList(sK55)
| ~ frontsegP(sK55,sK55) ),
inference(resolution,[],[f507,f504]) ).
fof(f587,plain,
( ~ neq(sK55,nil)
| ~ frontsegP(sK55,sK55) ),
inference(forward_subsumption_resolution,[],[f586,f510]) ).
fof(f589,definition,
( spl57_9
<=> frontsegP(sK55,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_9])],[avatar_definition]) ).
fof(f591,plain,
( ~ frontsegP(sK55,sK55)
| spl57_9 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f593,definition,
( spl57_10
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl57_10])],[avatar_definition]) ).
fof(f595,plain,
( ~ neq(sK55,nil)
| spl57_10 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
( ~ spl57_9
| ~ spl57_10 ),
inference(avatar_split_clause,[],[f587,f593,f589]) ).
fof(f612,plain,
( ~ ssList(sK55)
| spl57_9 ),
inference(resolution,[],[f591,f423]) ).
fof(f613,plain,
( $false
| spl57_9 ),
inference(forward_subsumption_resolution,[],[f612,f510]) ).
fof(f614,plain,
spl57_9,
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f615,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl57_10 ),
inference(resolution,[],[f595,f387]) ).
fof(f616,plain,
( ~ ssList(nil)
| ~ ssList(sK55)
| spl57_1
| spl57_10 ),
inference(forward_subsumption_resolution,[],[f615,f548]) ).
fof(f617,plain,
( ~ ssList(sK55)
| spl57_1
| ~ spl57_3
| spl57_10 ),
inference(forward_subsumption_resolution,[],[f616,f556]) ).
fof(f618,plain,
( $false
| spl57_1
| ~ spl57_3
| spl57_10 ),
inference(forward_subsumption_resolution,[],[f617,f510]) ).
fof(f619,plain,
( spl57_1
| ~ spl57_3
| spl57_10 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f638,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ neq(nil,X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ strictorderedP(X0) )
| ~ spl57_1 ),
inference(superposition,[],[f501,f547]) ).
fof(f640,plain,
( ! [X0] :
( ~ frontsegP(sK56,X0)
| ~ neq(nil,X0)
| ~ ssList(X0)
| ~ strictorderedP(X0) )
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f638,f442]) ).
fof(f663,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f509]) ).
fof(f664,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| spl57_2 ),
inference(forward_subsumption_resolution,[],[f663,f552]) ).
fof(f679,definition,
( spl57_15
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_15])],[avatar_definition]) ).
fof(f680,plain,
( ssItem(hd(sK56))
| ~ spl57_15 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( ~ ssItem(hd(sK56))
| spl57_15 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f683,definition,
( spl57_16
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_16])],[avatar_definition]) ).
fof(f684,plain,
( ssList(tl(sK56))
| ~ spl57_16 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( ~ ssList(tl(sK56))
| spl57_16 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f694,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_15 ),
inference(resolution,[],[f681,f397]) ).
fof(f695,plain,
( ~ ssList(sK56)
| spl57_2
| spl57_15 ),
inference(forward_subsumption_resolution,[],[f694,f552]) ).
fof(f696,plain,
( $false
| spl57_2
| spl57_15 ),
inference(forward_subsumption_resolution,[],[f695,f509]) ).
fof(f697,plain,
( spl57_2
| spl57_15 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f731,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_16 ),
inference(resolution,[],[f399,f685]) ).
fof(f735,plain,
( ~ ssList(sK56)
| spl57_2
| spl57_16 ),
inference(forward_subsumption_resolution,[],[f731,f552]) ).
fof(f736,plain,
( $false
| spl57_2
| spl57_16 ),
inference(forward_subsumption_resolution,[],[f735,f509]) ).
fof(f737,plain,
( spl57_2
| spl57_16 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f740,plain,
( tl(sK56) = app(nil,tl(sK56))
| ~ spl57_16 ),
inference(resolution,[],[f684,f403]) ).
fof(f754,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_16 ),
inference(resolution,[],[f477,f684]) ).
fof(f759,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_15
| ~ spl57_16 ),
inference(resolution,[],[f754,f680]) ).
fof(f760,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| spl57_2
| ~ spl57_15
| ~ spl57_16 ),
inference(forward_demodulation,[],[f759,f664]) ).
fof(f762,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_15
| ~ spl57_16 ),
inference(superposition,[],[f585,f760]) ).
fof(f764,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| spl57_2
| ~ spl57_15
| ~ spl57_16 ),
inference(forward_subsumption_resolution,[],[f762,f684]) ).
fof(f767,definition,
( spl57_21
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_21])],[avatar_definition]) ).
fof(f768,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_21 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f769,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_21 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f771,definition,
( spl57_22
<=> frontsegP(sK56,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_22])],[avatar_definition]) ).
fof(f773,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ spl57_22 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f774,plain,
( ~ spl57_21
| spl57_22
| spl57_2
| ~ spl57_15
| ~ spl57_16 ),
inference(avatar_split_clause,[],[f764,f683,f679,f550,f771,f767]) ).
fof(f779,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_21 ),
inference(resolution,[],[f769,f388]) ).
fof(f780,plain,
( ~ ssList(nil)
| ~ spl57_15
| spl57_21 ),
inference(forward_subsumption_resolution,[],[f779,f680]) ).
fof(f781,plain,
( $false
| ~ spl57_3
| ~ spl57_15
| spl57_21 ),
inference(forward_subsumption_resolution,[],[f780,f556]) ).
fof(f782,plain,
( ~ spl57_3
| ~ spl57_15
| spl57_21 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f792,definition,
( spl57_25
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_25])],[avatar_definition]) ).
fof(f794,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_25 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ strictorderedP(cons(hd(sK56),nil))
| ~ spl57_1
| ~ spl57_22 ),
inference(resolution,[],[f773,f640]) ).
fof(f801,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ strictorderedP(cons(hd(sK56),nil))
| ~ spl57_1
| ~ spl57_21
| ~ spl57_22 ),
inference(forward_subsumption_resolution,[],[f796,f768]) ).
fof(f805,definition,
( spl57_26
<=> strictorderedP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_26])],[avatar_definition]) ).
fof(f807,plain,
( ~ strictorderedP(cons(hd(sK56),nil))
| spl57_26 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f809,definition,
( spl57_27
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_27])],[avatar_definition]) ).
fof(f811,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_27 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f812,plain,
( ~ spl57_26
| ~ spl57_27
| ~ spl57_1
| ~ spl57_21
| ~ spl57_22 ),
inference(avatar_split_clause,[],[f801,f771,f767,f546,f809,f805]) ).
fof(f822,plain,
( ~ ssItem(hd(sK56))
| ~ spl57_4
| spl57_26 ),
inference(resolution,[],[f807,f560]) ).
fof(f823,plain,
( $false
| ~ spl57_4
| ~ spl57_15
| spl57_26 ),
inference(forward_subsumption_resolution,[],[f822,f680]) ).
fof(f824,plain,
( ~ spl57_4
| ~ spl57_15
| spl57_26 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f825,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_27 ),
inference(resolution,[],[f811,f387]) ).
fof(f826,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(nil)
| ~ spl57_21
| spl57_27 ),
inference(forward_subsumption_resolution,[],[f825,f768]) ).
fof(f827,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_3
| ~ spl57_21
| spl57_27 ),
inference(forward_subsumption_resolution,[],[f826,f556]) ).
fof(f828,plain,
( spl57_25
| ~ spl57_3
| ~ spl57_21
| spl57_27 ),
inference(avatar_split_clause,[],[f827,f809,f767,f555,f792]) ).
fof(f833,plain,
( sK56 = app(nil,tl(sK56))
| spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_25 ),
inference(superposition,[],[f760,f794]) ).
fof(f840,plain,
( sK56 = tl(sK56)
| spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_25 ),
inference(forward_demodulation,[],[f833,f740]) ).
fof(f862,plain,
( sK56 != tl(sK56)
| ~ ssItem(hd(sK56))
| ~ ssList(tl(sK56))
| spl57_2 ),
inference(superposition,[],[f390,f664]) ).
fof(f866,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(tl(sK56))
| spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_25 ),
inference(forward_subsumption_resolution,[],[f862,f840]) ).
fof(f869,plain,
( ~ ssList(tl(sK56))
| spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_25 ),
inference(forward_subsumption_resolution,[],[f866,f680]) ).
fof(f870,plain,
( $false
| spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_25 ),
inference(forward_subsumption_resolution,[],[f869,f684]) ).
fof(f871,plain,
( spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_25 ),
inference(avatar_contradiction_clause,[],[f870]) ).
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(s10,plain,
( ~ spl57_9
| ~ spl57_10 ),
inference(sat_conversion,[],[f596]) ).
cnf(s12,plain,
spl57_9,
inference(sat_conversion,[],[f614]) ).
cnf(s13,plain,
( spl57_1
| ~ spl57_3
| spl57_10 ),
inference(sat_conversion,[],[f619]) ).
cnf(s17,plain,
( spl57_2
| spl57_15 ),
inference(sat_conversion,[],[f697]) ).
cnf(s18,plain,
( spl57_2
| spl57_16 ),
inference(sat_conversion,[],[f737]) ).
cnf(s20,plain,
( spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_21
| spl57_22 ),
inference(sat_conversion,[],[f774]) ).
cnf(s22,plain,
( ~ spl57_3
| ~ spl57_15
| spl57_21 ),
inference(sat_conversion,[],[f782]) ).
cnf(s24,plain,
( ~ spl57_1
| ~ spl57_21
| ~ spl57_22
| ~ spl57_26
| ~ spl57_27 ),
inference(sat_conversion,[],[f812]) ).
cnf(s26,plain,
( ~ spl57_4
| ~ spl57_15
| spl57_26 ),
inference(sat_conversion,[],[f824]) ).
cnf(s27,plain,
( ~ spl57_3
| ~ spl57_21
| spl57_25
| spl57_27 ),
inference(sat_conversion,[],[f828]) ).
cnf(s30,plain,
( spl57_2
| ~ spl57_15
| ~ spl57_16
| ~ spl57_25 ),
inference(sat_conversion,[],[f871]) ).
cnf(s31,plain,
~ spl57_10,
inference(rat,[],[s10,s12]) ).
cnf(s32,plain,
spl57_1,
inference(rat,[],[s13,s31,s9]) ).
cnf(s36,plain,
~ spl57_2,
inference(rat,[],[s1,s32]) ).
cnf(s37,plain,
spl57_16,
inference(rat,[],[s18,s36]) ).
cnf(s38,plain,
spl57_15,
inference(rat,[],[s17,s36]) ).
cnf(s39,plain,
~ spl57_25,
inference(rat,[],[s30,s37,s36,s38]) ).
cnf(s40,plain,
spl57_26,
inference(rat,[],[s26,s3,s38]) ).
cnf(s41,plain,
spl57_21,
inference(rat,[],[s22,s9,s38]) ).
cnf(s44,plain,
spl57_27,
inference(rat,[],[s27,s39,s9,s41]) ).
cnf(s45,plain,
~ spl57_22,
inference(rat,[],[s24,s44,s40,s32,s41]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s20,s38,s37,s36,s45,s41]) ).
fof(f872,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC021+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:27:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.48/1.93 % (3795147)Detected formulas, will run a generic FOF schedule.
% 6.48/1.93 % (3795156)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2323726828:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.48/1.93 % (3795158)dis-21_1_sil=8000:lcm=predicate:random_seed=1434633673: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)
% 6.48/1.93 % (3795156)Instruction limit reached!
% 6.48/1.93 % (3795156)------------------------------
% 6.48/1.93 % (3795156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795156)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795156)Termination reason: Instruction limit
% 6.48/1.93 % (3795156)Termination phase: Saturation
% 6.48/1.93 % (3795156)Time elapsed: 0.039 s
% 6.48/1.93 % (3795156)Peak memory usage: 88 MB
% 6.48/1.93 % (3795156)Instructions burned: 123 (million)
% 6.48/1.93 % (3795157)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2302128727:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.48/1.93 % (3795155)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3882931733:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.48/1.93 % (3795152)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=3757937778:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.48/1.93 % (3795154)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=2895365342:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.48/1.93 % (3795153)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=431807443:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.48/1.93 % (3795155)Refutation not found, incomplete strategy
% 6.48/1.93 % (3795155)------------------------------
% 6.48/1.93 % (3795155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795155)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795155)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.93 % (3795155)Time elapsed: 0.006 s
% 6.48/1.93 % (3795155)Peak memory usage: 88 MB
% 6.48/1.93 % (3795155)Instructions burned: 7 (million)
% 6.48/1.93 % (3795158)Instruction limit reached!
% 6.48/1.93 % (3795158)------------------------------
% 6.48/1.93 % (3795158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795158)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795158)Termination reason: Instruction limit
% 6.48/1.93 % (3795158)Termination phase: Saturation
% 6.48/1.93 % (3795158)Time elapsed: 0.076 s
% 6.48/1.93 % (3795158)Peak memory usage: 90 MB
% 6.48/1.93 % (3795158)Instructions burned: 129 (million)
% 6.48/1.93 % (3795166)lrs+10_1_sil=8000:sp=occurrence:random_seed=65251808:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.48/1.93 % (3795157)Instruction limit reached!
% 6.48/1.93 % (3795157)------------------------------
% 6.48/1.93 % (3795157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795157)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795157)Termination reason: Instruction limit
% 6.48/1.93 % (3795157)Termination phase: Saturation
% 6.48/1.93 % (3795157)Time elapsed: 0.097 s
% 6.48/1.93 % (3795157)Peak memory usage: 90 MB
% 6.48/1.93 % (3795157)Instructions burned: 141 (million)
% 6.48/1.93 % (3795166)Instruction limit reached!
% 6.48/1.93 % (3795166)------------------------------
% 6.48/1.93 % (3795166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795166)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795166)Termination reason: Instruction limit
% 6.48/1.93 % (3795166)Termination phase: Saturation
% 6.48/1.93 % (3795166)Time elapsed: 0.090 s
% 6.48/1.93 % (3795166)Peak memory usage: 93 MB
% 6.48/1.93 % (3795166)Instructions burned: 287 (million)
% 6.48/1.93 % (3795167)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1303851936:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.48/1.93 % (3795169)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2918315416:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.48/1.93 % (3795155)------------------------------
% 6.48/1.93 % (3795155)------------------------------
% 6.48/1.93 % (3795170)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=1608153893:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.48/1.93 % (3795167)Instruction limit reached!
% 6.48/1.93 % (3795167)------------------------------
% 6.48/1.93 % (3795167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795167)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795167)Termination reason: Instruction limit
% 6.48/1.93 % (3795167)Termination phase: Saturation
% 6.48/1.93 % (3795167)Time elapsed: 0.080 s
% 6.48/1.93 % (3795167)Peak memory usage: 91 MB
% 6.48/1.93 % (3795167)Instructions burned: 157 (million)
% 6.48/1.93 % (3795170)Instruction limit reached!
% 6.48/1.93 % (3795170)------------------------------
% 6.48/1.93 % (3795170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795170)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795170)Termination reason: Instruction limit
% 6.48/1.93 % (3795170)Termination phase: Saturation
% 6.48/1.93 % (3795170)Time elapsed: 0.069 s
% 6.48/1.93 % (3795170)Peak memory usage: 93 MB
% 6.48/1.93 % (3795170)Instructions burned: 253 (million)
% 6.48/1.93 % (3795173)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2994448838:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.48/1.93 % (3795175)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3455169620:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.48/1.93 % (3795176)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=724633843:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.48/1.93 % (3795169)Instruction limit reached!
% 6.48/1.93 % (3795169)------------------------------
% 6.48/1.93 % (3795169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795169)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795169)Termination reason: Instruction limit
% 6.48/1.93 % (3795169)Termination phase: Saturation
% 6.48/1.93 % (3795169)Time elapsed: 0.205 s
% 6.48/1.93 % (3795169)Peak memory usage: 95 MB
% 6.48/1.93 % (3795169)Instructions burned: 326 (million)
% 6.48/1.93 % (3795176)Instruction limit reached!
% 6.48/1.93 % (3795176)------------------------------
% 6.48/1.93 % (3795176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795176)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795176)Termination reason: Instruction limit
% 6.48/1.93 % (3795176)Termination phase: Saturation
% 6.48/1.93 % (3795176)Time elapsed: 0.040 s
% 6.48/1.93 % (3795176)Peak memory usage: 90 MB
% 6.48/1.93 % (3795176)Instructions burned: 114 (million)
% 6.48/1.93 % (3795173)Instruction limit reached!
% 6.48/1.93 % (3795173)------------------------------
% 6.48/1.93 % (3795173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795173)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795173)Termination reason: Instruction limit
% 6.48/1.93 % (3795173)Termination phase: Saturation
% 6.48/1.93 % (3795173)Time elapsed: 0.158 s
% 6.48/1.93 % (3795173)Peak memory usage: 89 MB
% 6.48/1.93 % (3795173)Instructions burned: 294 (million)
% 6.48/1.93 % (3795180)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2332623132:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.48/1.93 % (3795181)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1845744989:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.48/1.93 % (3795181)Instruction limit reached!
% 6.48/1.93 % (3795181)------------------------------
% 6.48/1.93 % (3795181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795181)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795181)Termination reason: Instruction limit
% 6.48/1.93 % (3795181)Termination phase: Saturation
% 6.48/1.93 % (3795181)Time elapsed: 0.036 s
% 6.48/1.93 % (3795181)Peak memory usage: 89 MB
% 6.48/1.93 % (3795181)Instructions burned: 115 (million)
% 6.48/1.93 % (3795180)Instruction limit reached!
% 6.48/1.93 % (3795180)------------------------------
% 6.48/1.93 % (3795180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (3795180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (3795180)CaDiCaL version: 2.1.3
% 6.48/1.93 % (3795180)Termination reason: Instruction limit
% 6.48/1.93 % (3795180)Termination phase: Saturation
% 6.48/1.93 % (3795180)Time elapsed: 0.065 s
% 6.48/1.93 % (3795180)Peak memory usage: 90 MB
% 6.48/1.93 % (3795180)Instructions burned: 128 (million)
% 6.48/1.93 % (3795152)First to succeed.
% 6.48/1.93 % (3795182)lrs+10_1_sil=8000:sp=occurrence:random_seed=601497728:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.48/1.94 % (3795152)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3795147"
% 6.48/1.94 % (3795153)Also succeeded, but the first one will report.
% 6.48/1.94 % (3795185)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=571794101:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.48/1.94 % (3795186)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4056228506:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.48/1.94 % (3795185)Instruction limit reached!
% 6.48/1.94 % (3795185)------------------------------
% 6.48/1.94 % (3795185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.94 % (3795185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.94 % (3795185)CaDiCaL version: 2.1.3
% 6.48/1.94 % (3795185)Termination reason: Instruction limit
% 6.48/1.94 % (3795185)Termination phase: Saturation
% 6.48/1.94 % (3795185)Time elapsed: 0.088 s
% 6.48/1.94 % (3795185)Peak memory usage: 89 MB
% 6.48/1.94 % (3795185)Instructions burned: 442 (million)
% 6.48/1.94 % (3795190)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1263631267:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.48/1.94 % (3795190)Instruction limit reached!
% 6.48/1.94 % (3795190)------------------------------
% 6.48/1.94 % (3795190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.94 % (3795190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.94 % (3795190)CaDiCaL version: 2.1.3
% 6.48/1.94 % (3795190)Termination reason: Instruction limit
% 6.48/1.94 % (3795190)Termination phase: Saturation
% 6.48/1.94 % (3795190)Time elapsed: 0.036 s
% 6.48/1.94 % (3795190)Peak memory usage: 91 MB
% 6.48/1.94 % (3795190)Instructions burned: 135 (million)
% 6.48/1.94 % (3795152)Refutation found. Thanks to Tanya!
% 6.48/1.94 % SZS status Theorem for theBenchmark
% 6.48/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.20/2.07 % (3795152)------------------------------
% 8.20/2.07 % (3795152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.20/2.07 % (3795152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/2.07 % (3795152)CaDiCaL version: 2.1.3
% 8.20/2.07 % (3795152)Termination reason: Refutation
% 8.20/2.07 % (3795152)Time elapsed: 0.676 s
% 8.20/2.07 % (3795152)Peak memory usage: 130 MB
% 8.20/2.07 % (3795152)Instructions burned: 1017 (million)
% 8.20/2.07 % (3795152)------------------------------
% 8.20/2.07 % (3795152)------------------------------
% 8.20/2.07 % (3795147)Success in time 1.089 s
% 8.20/2.07 % Vampire exiting
%------------------------------------------------------------------------------