%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC211+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:05:07 PM UTC 2026
% Result : Theorem 9.86s 4.66s
% Output : Refutation 9.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 119 ( 18 unt; 4 def)
% Number of atoms : 404 ( 107 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 466 ( 181 ~; 217 |; 36 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 73 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3 ) )
| neq(X0,nil)
| ( nil != X2
& nil = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3 ) )
| neq(X0,nil)
| ( nil != X2
& nil = X3 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f123,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
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(f128,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2
| app(cons(X4,nil),X5) != X3 ) )
& ~ neq(X0,nil)
& ( nil = X2
| nil != X3 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2
| app(cons(X4,nil),X5) != X3 ) )
& ~ neq(X0,nil)
& ( nil = X2
| nil != X3 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f310,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK44(X0),sK43(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f311,plain,
! [X0] :
( ssItem(sK44(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f312,plain,
! [X0] :
( ssList(sK43(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f314,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f315,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f336,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f392,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f411,plain,
! [X4,X5] :
( app(cons(X4,nil),X5) != sK50
| app(X5,cons(X4,nil)) = sK49
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
~ neq(sK47,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f415,f417]) ).
fof(f424,plain,
~ neq(sK49,nil),
inference(definition_unfolding,[],[f414,f416]) ).
fof(f426,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f228]) ).
fof(f458,definition,
( spl51_1
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f460,plain,
( nil = sK49
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f462,definition,
( spl51_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f463,plain,
( nil = sK50
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f464,plain,
( nil != sK50
| spl51_2 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f627,plain,
( ~ ssList(nil)
| nil = sK49
| ~ ssList(sK49) ),
inference(resolution,[],[f303,f424]) ).
fof(f632,plain,
( nil = sK49
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f627,f306]) ).
fof(f633,plain,
nil = sK49,
inference(forward_subsumption_resolution,[],[f632,f418]) ).
fof(f634,plain,
spl51_1,
inference(avatar_split_clause,[],[f633,f458]) ).
fof(f636,plain,
( ~ neq(nil,nil)
| ~ spl51_1 ),
inference(superposition,[],[f424,f460]) ).
fof(f1006,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| nil = sK50 ),
inference(resolution,[],[f310,f413]) ).
fof(f1007,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f1006,f464]) ).
fof(f1045,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f389,f413]) ).
fof(f1054,definition,
( spl51_5
<=> ssItem(sK44(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f1055,plain,
( ssItem(sK44(sK50))
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1056,plain,
( ~ ssItem(sK44(sK50))
| spl51_5 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1058,definition,
( spl51_6
<=> ssList(sK43(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
fof(f1059,plain,
( ssList(sK43(sK50))
| ~ spl51_6 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1060,plain,
( ~ ssList(sK43(sK50))
| spl51_6 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1068,plain,
( ~ ssList(sK50)
| nil = sK50
| spl51_5 ),
inference(resolution,[],[f1056,f311]) ).
fof(f1069,plain,
( nil = sK50
| spl51_5 ),
inference(forward_subsumption_resolution,[],[f1068,f413]) ).
fof(f1070,plain,
( $false
| spl51_2
| spl51_5 ),
inference(forward_subsumption_resolution,[],[f1069,f464]) ).
fof(f1071,plain,
( spl51_2
| spl51_5 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1082,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK50),X0)) = X0 )
| ~ spl51_5 ),
inference(resolution,[],[f1055,f317]) ).
fof(f1091,plain,
( ~ ssList(sK50)
| nil = sK50
| spl51_6 ),
inference(resolution,[],[f1060,f312]) ).
fof(f1092,plain,
( nil = sK50
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f1091,f413]) ).
fof(f1093,plain,
( $false
| spl51_2
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f1092,f464]) ).
fof(f1094,plain,
( spl51_2
| spl51_6 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1103,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK43(sK50))) = X0 )
| ~ spl51_6 ),
inference(resolution,[],[f1059,f315]) ).
fof(f1168,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| cons(hd(X0),X1) = app(cons(hd(X0),nil),X1) ),
inference(resolution,[],[f392,f314]) ).
fof(f1596,plain,
( sK43(sK50) = tl(cons(sK44(sK50),sK43(sK50)))
| ~ spl51_5
| ~ spl51_6 ),
inference(resolution,[],[f1082,f1059]) ).
fof(f1601,plain,
( tl(sK50) = sK43(sK50)
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_demodulation,[],[f1596,f1007]) ).
fof(f1609,plain,
( sK50 = cons(sK44(sK50),tl(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(superposition,[],[f1007,f1601]) ).
fof(f1610,plain,
( ssList(tl(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(superposition,[],[f1059,f1601]) ).
fof(f2371,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,tl(sK50))) = X0 )
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_demodulation,[],[f1103,f1601]) ).
fof(f2433,plain,
( sK44(sK50) = hd(cons(sK44(sK50),tl(sK50)))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(resolution,[],[f2371,f1055]) ).
fof(f2435,plain,
( hd(sK50) = sK44(sK50)
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_demodulation,[],[f2433,f1609]) ).
fof(f2437,plain,
( ssItem(hd(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(superposition,[],[f1055,f2435]) ).
fof(f11877,plain,
( neq(nil,nil)
| ~ spl51_2 ),
inference(superposition,[],[f423,f463]) ).
fof(f12003,plain,
( $false
| ~ spl51_1
| ~ spl51_2 ),
inference(forward_subsumption_resolution,[],[f11877,f636]) ).
fof(f12004,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(avatar_contradiction_clause,[],[f12003]) ).
fof(f12169,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f1006,f464]) ).
fof(f12274,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f1045,f464]) ).
fof(f14216,plain,
( tl(sK50) = sK43(sK50)
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_demodulation,[],[f1596,f12169]) ).
fof(f15495,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK50
| cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) ),
inference(resolution,[],[f1168,f413]) ).
fof(f15497,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) )
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f15495,f464]) ).
fof(f46343,plain,
( cons(hd(sK50),sK43(sK50)) = app(cons(hd(sK50),nil),sK43(sK50))
| spl51_2
| ~ spl51_6 ),
inference(resolution,[],[f15497,f1059]) ).
fof(f46348,plain,
( cons(hd(sK50),tl(sK50)) = app(cons(hd(sK50),nil),tl(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_demodulation,[],[f46343,f14216]) ).
fof(f46356,plain,
( sK50 = app(cons(hd(sK50),nil),tl(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_demodulation,[],[f46348,f12274]) ).
fof(f46357,plain,
( sK50 != sK50
| sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| ~ ssItem(hd(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(superposition,[],[f411,f46356]) ).
fof(f46383,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| ~ ssItem(hd(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(trivial_inequality_removal,[],[f46357]) ).
fof(f46404,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssItem(hd(sK50))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_subsumption_resolution,[],[f46383,f1610]) ).
fof(f46406,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_subsumption_resolution,[],[f46404,f2437]) ).
fof(f46407,plain,
( nil = app(tl(sK50),cons(hd(sK50),nil))
| ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_demodulation,[],[f46406,f460]) ).
fof(f47169,plain,
( memberP(nil,hd(sK50))
| ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ ssList(tl(sK50))
| ~ ssList(nil)
| ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(superposition,[],[f426,f46407]) ).
fof(f47212,plain,
( memberP(nil,hd(sK50))
| ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ ssList(tl(sK50))
| ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(duplicate_literal_removal,[],[f47169]) ).
fof(f47249,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ ssList(tl(sK50))
| ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_subsumption_resolution,[],[f47212,f336]) ).
fof(f47286,plain,
( ~ ssList(nil)
| ~ ssList(tl(sK50))
| ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_subsumption_resolution,[],[f47249,f2437]) ).
fof(f47313,plain,
( ~ ssList(tl(sK50))
| ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_subsumption_resolution,[],[f47286,f306]) ).
fof(f47318,plain,
( $false
| ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(forward_subsumption_resolution,[],[f47313,f1610]) ).
fof(f47319,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(avatar_contradiction_clause,[],[f47318]) ).
cnf(s3,plain,
spl51_1,
inference(sat_conversion,[],[f634]) ).
cnf(s6,plain,
( spl51_2
| spl51_5 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s7,plain,
( spl51_2
| spl51_6 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s37,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f12004]) ).
cnf(s81,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_5
| ~ spl51_6 ),
inference(sat_conversion,[],[f47319]) ).
cnf(s95,plain,
~ spl51_2,
inference(rat,[],[s37,s3]) ).
cnf(s97,plain,
spl51_6,
inference(rat,[],[s7,s95]) ).
cnf(s98,plain,
spl51_5,
inference(rat,[],[s6,s95]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s81,s95,s3,s97,s98]) ).
fof(f47320,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC211+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.43 % Computer : n017.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 28 08:23:51 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.89/3.65 % (3397909)Will run a generic schedule for satisfiability detection.
% 20.89/3.65 % (3397918)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=324696422:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.89/3.65 % (3397915)% WARNING: option uhcvi not known.
% 20.89/3.65 % (3397914)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=586507704_2999 on theBenchmark for (2999ds/0Mi)
% 20.89/3.65 % (3397919)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=111228847:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.89/3.65 % (3397916)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1235801799:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.89/3.65 % (3397915)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1905705341:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.89/3.65 % (3397917)dis+10_1_sil=32000:sp=arity:random_seed=3568325832:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.89/3.65 % (3397920)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3148050575:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.89/3.65 % TRYING [1]
% 20.89/3.65 % TRYING [2]
% 20.89/3.65 % TRYING [3]
% 20.89/3.65 % (3397918)Instruction limit reached!
% 20.89/3.65 % (3397918)------------------------------
% 20.89/3.65 % (3397918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.89/3.65 % (3397918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/3.65 % (3397918)CaDiCaL version: 2.1.3
% 20.89/3.65 % (3397918)Termination reason: Instruction limit
% 20.89/3.65 % (3397918)Termination phase: Saturation
% 20.89/3.65 % (3397918)Time elapsed: 0.058 s
% 20.89/3.65 % (3397918)Peak memory usage: 13 MB
% 20.89/3.65 % (3397918)Instructions burned: 117 (million)
% 20.89/3.65 % TRYING [4]
% 20.89/3.65 % (3397928)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3410441998:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.89/3.65 % TRYING [1]
% 20.89/3.65 % TRYING [2]
% 20.89/3.65 % TRYING [3]
% 20.89/3.65 % (3397917)Instruction limit reached!
% 20.89/3.65 % (3397917)------------------------------
% 20.89/3.65 % (3397917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.89/3.65 % (3397917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/3.65 % (3397917)CaDiCaL version: 2.1.3
% 20.89/3.65 % (3397917)Termination reason: Instruction limit
% 20.89/3.65 % (3397917)Termination phase: Saturation
% 20.89/3.65 % (3397917)Time elapsed: 0.100 s
% 20.89/3.65 % (3397917)Peak memory usage: 13 MB
% 20.89/3.65 % (3397917)Instructions burned: 104 (million)
% 20.89/3.65 % TRYING [4]
% 20.89/3.65 % (3397930)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=674690333:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.89/3.65 % (3397919)Instruction limit reached!
% 20.89/3.65 % (3397919)------------------------------
% 20.89/3.65 % (3397919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.89/3.65 % (3397919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/3.65 % (3397919)CaDiCaL version: 2.1.3
% 20.89/3.65 % (3397919)Termination reason: Instruction limit
% 20.89/3.65 % (3397919)Termination phase: Saturation
% 20.89/3.65 % (3397919)Time elapsed: 0.122 s
% 20.89/3.65 % (3397919)Peak memory usage: 14 MB
% 20.89/3.65 % (3397919)Instructions burned: 131 (million)
% 20.89/3.65 % (3397932)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1662412683:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.89/3.65 % TRYING [5]
% 20.89/3.65 % (3397920)Instruction limit reached!
% 20.89/3.65 % (3397920)------------------------------
% 20.89/3.65 % (3397920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.89/3.65 % (3397920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/3.65 % (3397920)CaDiCaL version: 2.1.3
% 20.89/3.65 % (3397920)Termination reason: Instruction limit
% 20.89/3.65 % (3397920)Termination phase: Saturation
% 20.89/3.65 % (3397920)Time elapsed: 0.162 s
% 20.89/3.65 % (3397920)Peak memory usage: 14 MB
% 20.89/3.65 % (3397920)Instructions burned: 159 (million)
% 20.89/3.65 % (3397930)Instruction limit reached!
% 20.89/3.65 % (3397930)------------------------------
% 20.89/3.65 % (3397930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.89/3.65 % (3397930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/3.65 % (3397930)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397930)Termination reason: Instruction limit
% 9.86/4.66 % (3397930)Termination phase: Saturation
% 9.86/4.66 % (3397930)Time elapsed: 0.065 s
% 9.86/4.66 % (3397930)Peak memory usage: 13 MB
% 9.86/4.66 % (3397930)Instructions burned: 131 (million)
% 9.86/4.66 % (3397934)ott-21_1_sil=16000:fs=off:random_seed=3946541261:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 9.86/4.66 % TRYING [5]
% 9.86/4.66 % (3397935)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1637886773:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 9.86/4.66 % (3397934)Instruction limit reached!
% 9.86/4.66 % (3397934)------------------------------
% 9.86/4.66 % (3397934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397934)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397934)Termination reason: Instruction limit
% 9.86/4.66 % (3397934)Termination phase: Saturation
% 9.86/4.66 % (3397934)Time elapsed: 0.145 s
% 9.86/4.66 % (3397934)Peak memory usage: 13 MB
% 9.86/4.66 % (3397934)Instructions burned: 180 (million)
% 9.86/4.66 % (3397938)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1802376970:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 9.86/4.66 % TRYING [6]
% 9.86/4.66 % TRYING [1]
% 9.86/4.66 % TRYING [2]
% 9.86/4.66 % TRYING [3]
% 9.86/4.66 % TRYING [4]
% 9.86/4.66 % (3397935)Instruction limit reached!
% 9.86/4.66 % (3397935)------------------------------
% 9.86/4.66 % (3397935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397935)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397935)Termination reason: Instruction limit
% 9.86/4.66 % (3397935)Termination phase: Saturation
% 9.86/4.66 % (3397935)Time elapsed: 0.293 s
% 9.86/4.66 % (3397935)Peak memory usage: 15 MB
% 9.86/4.66 % (3397935)Instructions burned: 479 (million)
% 9.86/4.66 % TRYING [6]
% 9.86/4.66 % (3397940)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2071502949:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 9.86/4.66 % (3397928)Instruction limit reached!
% 9.86/4.66 % (3397928)------------------------------
% 9.86/4.66 % (3397928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397928)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397928)Termination reason: Instruction limit
% 9.86/4.66 % (3397928)Termination phase: Finite model building constraint generation
% 9.86/4.66 % (3397928)Time elapsed: 0.521 s
% 9.86/4.66 % (3397928)Peak memory usage: 27 MB
% 9.86/4.66 % (3397928)Instructions burned: 714 (million)
% 9.86/4.66 % (3397942)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1295113369:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 9.86/4.66 % TRYING [5]
% 9.86/4.66 % (3397932)Instruction limit reached!
% 9.86/4.66 % (3397932)------------------------------
% 9.86/4.66 % (3397932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397932)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397932)Termination reason: Instruction limit
% 9.86/4.66 % (3397932)Termination phase: Saturation
% 9.86/4.66 % (3397932)Time elapsed: 0.632 s
% 9.86/4.66 % (3397932)Peak memory usage: 22 MB
% 9.86/4.66 % (3397932)Instructions burned: 685 (million)
% 9.86/4.66 % TRYING [14]
% 9.86/4.66 % (3397944)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3355152892:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 9.86/4.66 % TRYING [7]
% 9.86/4.66 % (3397938)Instruction limit reached!
% 9.86/4.66 % (3397938)------------------------------
% 9.86/4.66 % (3397938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397938)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397938)Termination reason: Instruction limit
% 9.86/4.66 % (3397938)Termination phase: Finite model building SAT solving
% 9.86/4.66 % (3397938)Time elapsed: 0.608 s
% 9.86/4.66 % (3397938)Peak memory usage: 23 MB
% 9.86/4.66 % (3397938)Instructions burned: 865 (million)
% 9.86/4.66 % (3397946)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1191036426:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 9.86/4.66 % (3397940)Instruction limit reached!
% 9.86/4.66 % (3397940)------------------------------
% 9.86/4.66 % (3397940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397940)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397940)Termination reason: Instruction limit
% 9.86/4.66 % (3397940)Termination phase: Saturation
% 9.86/4.66 % (3397940)Time elapsed: 0.508 s
% 9.86/4.66 % (3397940)Peak memory usage: 27 MB
% 9.86/4.66 % (3397940)Instructions burned: 1181 (million)
% 9.86/4.66 % (3397948)fmb+10_1_sil=64000:random_seed=1775459832:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 9.86/4.66 % TRYING [1]
% 9.86/4.66 % TRYING [2]
% 9.86/4.66 % TRYING [3]
% 9.86/4.66 % TRYING [4]
% 9.86/4.66 % (3397944)Instruction limit reached!
% 9.86/4.66 % (3397944)------------------------------
% 9.86/4.66 % (3397944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397944)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397944)Termination reason: Instruction limit
% 9.86/4.66 % (3397944)Termination phase: Saturation
% 9.86/4.66 % (3397944)Time elapsed: 0.419 s
% 9.86/4.66 % (3397944)Peak memory usage: 19 MB
% 9.86/4.66 % (3397944)Instructions burned: 693 (million)
% 9.86/4.66 % (3397950)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=135548098:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 9.86/4.66 % (3397942)Instruction limit reached!
% 9.86/4.66 % (3397942)------------------------------
% 9.86/4.66 % (3397942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397942)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397942)Termination reason: Instruction limit
% 9.86/4.66 % (3397942)Termination phase: Finite model building constraint generation
% 9.86/4.66 % (3397942)Time elapsed: 0.653 s
% 9.86/4.66 % (3397942)Peak memory usage: 70 MB
% 9.86/4.66 % (3397942)Instructions burned: 889 (million)
% 9.86/4.66 % TRYING [20]
% 9.86/4.66 % (3397952)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=468925601:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 9.86/4.66 % TRYING [8]
% 9.86/4.66 % TRYING [5]
% 9.86/4.66 % (3397946)Instruction limit reached!
% 9.86/4.66 % (3397946)------------------------------
% 9.86/4.66 % (3397946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397946)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397946)Termination reason: Instruction limit
% 9.86/4.66 % (3397946)Termination phase: Saturation
% 9.86/4.66 % (3397946)Time elapsed: 0.743 s
% 9.86/4.66 % (3397946)Peak memory usage: 21 MB
% 9.86/4.66 % (3397946)Instructions burned: 879 (million)
% 9.86/4.66 % (3397954)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2529710226:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 9.86/4.66 % (3397952)Instruction limit reached!
% 9.86/4.66 % (3397952)------------------------------
% 9.86/4.66 % (3397952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397952)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397952)Termination reason: Instruction limit
% 9.86/4.66 % (3397952)Termination phase: Finite model building constraint generation
% 9.86/4.66 % (3397952)Time elapsed: 0.547 s
% 9.86/4.66 % (3397952)Peak memory usage: 75 MB
% 9.86/4.66 % (3397952)Instructions burned: 921 (million)
% 9.86/4.66 % (3397958)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2107993865:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 9.86/4.66 % TRYING [6]
% 9.86/4.66 % TRYING [8]
% 9.86/4.66 % (3397958)Instruction limit reached!
% 9.86/4.66 % (3397958)------------------------------
% 9.86/4.66 % (3397958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.66 % (3397958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.66 % (3397958)CaDiCaL version: 2.1.3
% 9.86/4.66 % (3397958)Termination reason: Instruction limit
% 9.86/4.66 % (3397958)Termination phase: Saturation
% 9.86/4.66 % (3397958)Time elapsed: 1.160 s
% 9.86/4.66 % (3397958)Peak memory usage: 18 MB
% 9.86/4.66 % (3397958)Instructions burned: 1473 (million)
% 9.86/4.66 % (3397960)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3807401330:i=6324_2968 on theBenchmark for (2968ds/6324Mi)
% 9.86/4.66 % TRYING [77]
% 9.86/4.66 % TRYING [7]
% 9.86/4.66 % (3397954) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3397909-3397954"...
% 9.86/4.66 % (3397954)...printing done.
% 9.86/4.66 % (3397954)Refutation found. Thanks to Tanya!
% 9.86/4.66 % SZS status Theorem for theBenchmark
% 9.86/4.66 % SZS output start Proof for theBenchmark
% See solution above
% 9.86/4.67 % (3397954)------------------------------
% 9.86/4.67 % (3397954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.86/4.67 % (3397954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.86/4.67 % (3397954)CaDiCaL version: 2.1.3
% 9.86/4.67 % (3397954)Termination reason: Refutation
% 9.86/4.67 % (3397954)Time elapsed: 2.233 s
% 9.86/4.67 % (3397954)Peak memory usage: 33 MB
% 9.86/4.67 % (3397954)Instructions burned: 2592 (million)
% 9.86/4.67 % (3397909)Success in time 4.167 s
% 9.86/4.67 % Vampire exiting
%------------------------------------------------------------------------------