%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC015+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 01:04:17 PM UTC 2026
% Result : Theorem 17.62s 3.19s
% Output : Refutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 170 ( 22 unt; 9 def)
% Number of atoms : 595 ( 152 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 739 ( 314 ~; 347 |; 36 &)
% ( 11 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 102 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& cons(X6,nil) = X0
& app(cons(X6,nil),X7) = X1 ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
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
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& cons(X6,nil) = X0
& app(cons(X6,nil),X7) = X1 ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
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(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(f194,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| cons(X6,nil) != X0
| app(cons(X6,nil),X7) != X1 ) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& 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] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| cons(X6,nil) != X0
| app(cons(X6,nil),X7) != X1 ) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f314,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f318,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f390,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f412,plain,
! [X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| app(sK49,X5) != X4
| tl(sK50) != X5
| ~ ssList(X5)
| sK50 = X4
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
! [X6,X7] :
( ~ neq(sK50,nil)
| app(cons(X6,nil),X7) != sK48
| cons(X6,nil) != sK47
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f415,f419]) ).
fof(f427,plain,
! [X6,X7] :
( ~ neq(sK50,nil)
| app(cons(X6,nil),X7) != sK50
| cons(X6,nil) != sK49
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f414,f419,f418]) ).
fof(f444,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f304]) ).
fof(f455,plain,
! [X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| tl(sK50) != X5
| ~ ssList(X5)
| sK50 = app(sK49,X5)
| ~ ssList(app(sK49,X5)) ),
inference(equality_resolution,[],[f412]) ).
fof(f456,plain,
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssList(tl(sK50))
| sK50 = app(sK49,tl(sK50))
| ~ ssList(app(sK49,tl(sK50))) ),
inference(equality_resolution,[],[f455]) ).
fof(f463,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f466,plain,
! [X6,X7] :
( cons(X6,nil) != sK49
| app(cons(X6,nil),X7) != sK50
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(forward_subsumption_resolution,[],[f427,f426]) ).
fof(f467,plain,
( ~ neq(nil,sK50)
| ~ ssList(tl(sK50))
| sK50 = app(sK49,tl(sK50))
| ~ ssList(app(sK49,tl(sK50))) ),
inference(forward_subsumption_resolution,[],[f456,f426]) ).
fof(f469,definition,
( spl51_1
<=> ssList(app(sK49,tl(sK50))) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f470,plain,
( ssList(app(sK49,tl(sK50)))
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( ~ ssList(app(sK49,tl(sK50)))
| spl51_1 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl51_2
<=> sK50 = app(sK49,tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f475,plain,
( sK50 = app(sK49,tl(sK50))
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f477,definition,
( spl51_3
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f478,plain,
( ssList(tl(sK50))
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ ssList(tl(sK50))
| spl51_3 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f481,definition,
( spl51_4
<=> neq(nil,sK50) ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f483,plain,
( ~ neq(nil,sK50)
| spl51_4 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f484,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_3
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f467,f481,f477,f473,f469]) ).
fof(f537,plain,
( ~ ssList(tl(sK50))
| ~ ssList(sK49)
| spl51_1 ),
inference(resolution,[],[f318,f471]) ).
fof(f546,plain,
( ~ ssList(tl(sK50))
| spl51_1 ),
inference(forward_subsumption_resolution,[],[f537,f420]) ).
fof(f551,plain,
( ~ spl51_3
| spl51_1 ),
inference(avatar_split_clause,[],[f546,f469,f477]) ).
fof(f552,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_3 ),
inference(resolution,[],[f479,f316]) ).
fof(f553,plain,
( nil = sK50
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f552,f417]) ).
fof(f555,plain,
( neq(nil,nil)
| spl51_3 ),
inference(superposition,[],[f426,f553]) ).
fof(f565,plain,
( ~ ssList(nil)
| spl51_3 ),
inference(resolution,[],[f555,f463]) ).
fof(f566,plain,
( $false
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f565,f306]) ).
fof(f567,plain,
spl51_3,
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f569,plain,
( tl(sK50) = app(nil,tl(sK50))
| ~ spl51_3 ),
inference(resolution,[],[f478,f320]) ).
fof(f584,plain,
( ! [X0] :
( app(sK49,tl(sK50)) != cons(X0,app(sK49,tl(sK50)))
| ~ ssItem(X0) )
| ~ spl51_1 ),
inference(resolution,[],[f307,f470]) ).
fof(f666,plain,
( ~ ssList(sK50)
| nil = sK50
| ~ ssList(nil)
| spl51_4 ),
inference(resolution,[],[f303,f483]) ).
fof(f669,plain,
( nil = sK50
| ~ ssList(nil)
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f666,f417]) ).
fof(f670,plain,
( nil = sK50
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f669,f306]) ).
fof(f672,plain,
( neq(nil,nil)
| spl51_4 ),
inference(superposition,[],[f426,f670]) ).
fof(f735,plain,
( ~ ssList(nil)
| spl51_4 ),
inference(resolution,[],[f672,f463]) ).
fof(f736,plain,
( $false
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f735,f306]) ).
fof(f737,plain,
spl51_4,
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f738,plain,
( ! [X0] :
( sK50 != cons(X0,sK50)
| ~ ssItem(X0) )
| ~ spl51_1
| ~ spl51_2 ),
inference(superposition,[],[f584,f475]) ).
fof(f914,definition,
( spl51_6
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
fof(f915,plain,
( nil != sK49
| spl51_6 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f916,plain,
( nil = sK49
| ~ spl51_6 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f926,plain,
( sK50 = app(nil,tl(sK50))
| ~ spl51_2
| ~ spl51_6 ),
inference(superposition,[],[f475,f916]) ).
fof(f947,plain,
( sK50 = tl(sK50)
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6 ),
inference(superposition,[],[f926,f569]) ).
fof(f1020,definition,
( spl51_8
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_8])],[avatar_definition]) ).
fof(f1021,plain,
( nil != sK50
| spl51_8 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1022,plain,
( nil = sK50
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1100,plain,
( nil = sK49
| sK49 = cons(hd(sK49),tl(sK49)) ),
inference(resolution,[],[f389,f420]) ).
fof(f1101,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f389,f417]) ).
fof(f1102,plain,
( sK50 = cons(hd(sK50),sK50)
| nil = sK50
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6 ),
inference(forward_demodulation,[],[f1101,f947]) ).
fof(f1167,plain,
( sK50 = cons(hd(sK50),sK50)
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(forward_subsumption_resolution,[],[f1102,f1021]) ).
fof(f1223,plain,
( sK50 != sK50
| ~ ssItem(hd(sK50))
| ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(superposition,[],[f738,f1167]) ).
fof(f1229,plain,
( ~ ssItem(hd(sK50))
| ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(trivial_inequality_removal,[],[f1223]) ).
fof(f1237,plain,
( nil = sK50
| ~ ssList(sK50)
| ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(resolution,[],[f1229,f314]) ).
fof(f1238,plain,
( ~ ssList(sK50)
| ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(forward_subsumption_resolution,[],[f1237,f1021]) ).
fof(f1239,plain,
( $false
| ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(forward_subsumption_resolution,[],[f1238,f417]) ).
fof(f1240,plain,
( ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1261,plain,
( neq(nil,nil)
| ~ spl51_8 ),
inference(superposition,[],[f426,f1022]) ).
fof(f1292,plain,
( ~ ssList(nil)
| ~ spl51_8 ),
inference(resolution,[],[f1261,f463]) ).
fof(f1293,plain,
( $false
| ~ spl51_8 ),
inference(forward_subsumption_resolution,[],[f1292,f306]) ).
fof(f1294,plain,
~ spl51_8,
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1582,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK49
| hd(sK49) = hd(app(sK49,X0)) ),
inference(resolution,[],[f398,f420]) ).
fof(f1586,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sK49) = hd(app(sK49,X0)) )
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f1582,f915]) ).
fof(f1730,plain,
( ! [X0] :
( tl(sK50) != app(X0,tl(sK50))
| ~ ssList(tl(sK50))
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl51_3 ),
inference(superposition,[],[f390,f569]) ).
fof(f1753,plain,
( ! [X0] :
( tl(sK50) != app(X0,tl(sK50))
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl51_3 ),
inference(forward_subsumption_resolution,[],[f1730,f478]) ).
fof(f1775,plain,
( ! [X0] :
( tl(sK50) != app(X0,tl(sK50))
| ~ ssList(X0)
| nil = X0 )
| ~ spl51_3 ),
inference(forward_subsumption_resolution,[],[f1753,f306]) ).
fof(f1983,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK49
| tl(app(sK49,X0)) = app(tl(sK49),X0) ),
inference(resolution,[],[f399,f420]) ).
fof(f1987,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sK49,X0)) = app(tl(sK49),X0) )
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f1983,f915]) ).
fof(f2700,plain,
( sK49 = cons(hd(sK49),tl(sK49))
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f1100,f915]) ).
fof(f2775,definition,
( spl51_14
<=> ssItem(hd(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_14])],[avatar_definition]) ).
fof(f2776,plain,
( ssItem(hd(sK50))
| ~ spl51_14 ),
inference(avatar_component_clause,[],[f2775]) ).
fof(f2777,plain,
( ~ ssItem(hd(sK50))
| spl51_14 ),
inference(avatar_component_clause,[],[f2775]) ).
fof(f2785,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_14 ),
inference(resolution,[],[f2777,f314]) ).
fof(f2786,plain,
( ~ ssList(sK50)
| spl51_8
| spl51_14 ),
inference(forward_subsumption_resolution,[],[f2785,f1021]) ).
fof(f2787,plain,
( $false
| spl51_8
| spl51_14 ),
inference(forward_subsumption_resolution,[],[f2786,f417]) ).
fof(f2788,plain,
( spl51_8
| spl51_14 ),
inference(avatar_contradiction_clause,[],[f2787]) ).
fof(f3801,plain,
( hd(app(sK49,tl(sK50))) = hd(sK49)
| ~ spl51_3
| spl51_6 ),
inference(resolution,[],[f1586,f478]) ).
fof(f3834,plain,
( hd(sK49) = hd(sK50)
| ~ spl51_2
| ~ spl51_3
| spl51_6 ),
inference(forward_demodulation,[],[f3801,f475]) ).
fof(f3836,plain,
( sK49 = cons(hd(sK50),tl(sK49))
| ~ spl51_2
| ~ spl51_3
| spl51_6 ),
inference(superposition,[],[f2700,f3834]) ).
fof(f3936,plain,
( tl(app(sK49,tl(sK50))) = app(tl(sK49),tl(sK50))
| ~ spl51_3
| spl51_6 ),
inference(resolution,[],[f1987,f478]) ).
fof(f3969,plain,
( tl(sK50) = app(tl(sK49),tl(sK50))
| ~ spl51_2
| ~ spl51_3
| spl51_6 ),
inference(forward_demodulation,[],[f3936,f475]) ).
fof(f4354,definition,
( spl51_22
<=> ssList(tl(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_22])],[avatar_definition]) ).
fof(f4355,plain,
( ssList(tl(sK49))
| ~ spl51_22 ),
inference(avatar_component_clause,[],[f4354]) ).
fof(f4356,plain,
( ~ ssList(tl(sK49))
| spl51_22 ),
inference(avatar_component_clause,[],[f4354]) ).
fof(f4363,plain,
( nil = sK49
| ~ ssList(sK49)
| spl51_22 ),
inference(resolution,[],[f4356,f316]) ).
fof(f4364,plain,
( ~ ssList(sK49)
| spl51_6
| spl51_22 ),
inference(forward_subsumption_resolution,[],[f4363,f915]) ).
fof(f4365,plain,
( $false
| spl51_6
| spl51_22 ),
inference(forward_subsumption_resolution,[],[f4364,f420]) ).
fof(f4366,plain,
( spl51_6
| spl51_22 ),
inference(avatar_contradiction_clause,[],[f4365]) ).
fof(f9616,definition,
( spl51_30
<=> nil = tl(sK49) ),
introduced(definition,[new_symbols(definition,[spl51_30])],[avatar_definition]) ).
fof(f9618,plain,
( nil = tl(sK49)
| ~ spl51_30 ),
inference(avatar_component_clause,[],[f9616]) ).
fof(f54280,plain,
( tl(sK50) != tl(sK50)
| ~ ssList(tl(sK49))
| nil = tl(sK49)
| ~ spl51_2
| ~ spl51_3
| spl51_6 ),
inference(superposition,[],[f1775,f3969]) ).
fof(f54285,plain,
( ~ ssList(tl(sK49))
| nil = tl(sK49)
| ~ spl51_2
| ~ spl51_3
| spl51_6 ),
inference(trivial_inequality_removal,[],[f54280]) ).
fof(f54286,plain,
( nil = tl(sK49)
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_22 ),
inference(forward_subsumption_resolution,[],[f54285,f4355]) ).
fof(f54330,plain,
( spl51_30
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_22 ),
inference(avatar_split_clause,[],[f54286,f4354,f914,f477,f473,f9616]) ).
fof(f54337,plain,
( sK49 = cons(hd(sK50),nil)
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_30 ),
inference(superposition,[],[f3836,f9618]) ).
fof(f55703,plain,
( ! [X0] :
( sK49 != sK49
| sK50 != app(sK49,X0)
| ~ ssList(X0)
| ~ ssItem(hd(sK50)) )
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_30 ),
inference(superposition,[],[f466,f54337]) ).
fof(f55756,plain,
( ! [X0] :
( sK50 != app(sK49,X0)
| ~ ssList(X0)
| ~ ssItem(hd(sK50)) )
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_30 ),
inference(trivial_inequality_removal,[],[f55703]) ).
fof(f55802,plain,
( ! [X0] :
( sK50 != app(sK49,X0)
| ~ ssList(X0) )
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_14
| ~ spl51_30 ),
inference(forward_subsumption_resolution,[],[f55756,f2776]) ).
fof(f56406,plain,
( sK50 != sK50
| ~ ssList(tl(sK50))
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_14
| ~ spl51_30 ),
inference(superposition,[],[f55802,f475]) ).
fof(f56410,plain,
( ~ ssList(tl(sK50))
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_14
| ~ spl51_30 ),
inference(trivial_inequality_removal,[],[f56406]) ).
fof(f56413,plain,
( $false
| ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_14
| ~ spl51_30 ),
inference(forward_subsumption_resolution,[],[f56410,f478]) ).
fof(f56414,plain,
( ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_14
| ~ spl51_30 ),
inference(avatar_contradiction_clause,[],[f56413]) ).
cnf(s1,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_3
| ~ spl51_4 ),
inference(sat_conversion,[],[f484]) ).
cnf(s2,plain,
( spl51_1
| ~ spl51_3 ),
inference(sat_conversion,[],[f551]) ).
cnf(s3,plain,
spl51_3,
inference(sat_conversion,[],[f567]) ).
cnf(s4,plain,
spl51_4,
inference(sat_conversion,[],[f737]) ).
cnf(s8,plain,
( ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6
| spl51_8 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s9,plain,
~ spl51_8,
inference(sat_conversion,[],[f1294]) ).
cnf(s15,plain,
( spl51_8
| spl51_14 ),
inference(sat_conversion,[],[f2788]) ).
cnf(s21,plain,
( spl51_6
| spl51_22 ),
inference(sat_conversion,[],[f4366]) ).
cnf(s61,plain,
( ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_22
| spl51_30 ),
inference(sat_conversion,[],[f54330]) ).
cnf(s65,plain,
( ~ spl51_2
| ~ spl51_3
| spl51_6
| ~ spl51_14
| ~ spl51_30 ),
inference(sat_conversion,[],[f56414]) ).
cnf(s79,plain,
spl51_14,
inference(rat,[],[s15,s9]) ).
cnf(s81,plain,
( ~ spl51_1
| ~ spl51_2
| ~ spl51_3
| ~ spl51_6 ),
inference(rat,[],[s8,s9]) ).
cnf(s87,plain,
spl51_1,
inference(rat,[],[s2,s3]) ).
cnf(s88,plain,
spl51_2,
inference(rat,[],[s1,s4,s3,s87]) ).
cnf(s92,plain,
~ spl51_6,
inference(rat,[],[s81,s87,s3,s88]) ).
cnf(s96,plain,
spl51_22,
inference(rat,[],[s21,s92]) ).
cnf(s98,plain,
~ spl51_30,
inference(rat,[],[s65,s88,s79,s3,s92]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s61,s98,s88,s3,s96,s92]) ).
fof(f56415,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC015+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 07:26:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.82/2.55 % (3827884)Will run a generic schedule for satisfiability detection.
% 14.82/2.55 % (3827892)dis+10_1_sil=32000:sp=arity:random_seed=1228060629:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.82/2.55 % (3827889)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3418223193_2999 on theBenchmark for (2999ds/0Mi)
% 14.82/2.55 % (3827891)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=465619359:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.82/2.55 % (3827893)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=671903042:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.82/2.55 % (3827894)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=262888982:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.82/2.55 % (3827895)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2365142108:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.82/2.55 % (3827890)% WARNING: option uhcvi not known.
% 14.82/2.55 % (3827890)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1663873208:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.82/2.55 % TRYING [1]
% 14.82/2.55 % TRYING [2]
% 14.82/2.55 % TRYING [3]
% 14.82/2.55 % (3827892)Instruction limit reached!
% 14.82/2.55 % (3827892)------------------------------
% 14.82/2.55 % (3827892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.55 % (3827892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.55 % (3827892)CaDiCaL version: 2.1.3
% 14.82/2.55 % (3827892)Termination reason: Instruction limit
% 14.82/2.55 % (3827892)Termination phase: Saturation
% 14.82/2.55 % (3827892)Time elapsed: 0.034 s
% 14.82/2.55 % (3827892)Peak memory usage: 13 MB
% 14.82/2.55 % (3827892)Instructions burned: 103 (million)
% 14.82/2.55 % TRYING [4]
% 14.82/2.55 % (3827903)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=512449845:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.82/2.55 % TRYING [1]
% 14.82/2.55 % TRYING [2]
% 14.82/2.55 % TRYING [3]
% 14.82/2.55 % TRYING [4]
% 14.82/2.55 % (3827893)Instruction limit reached!
% 14.82/2.55 % (3827893)------------------------------
% 14.82/2.55 % (3827893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.55 % (3827893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.55 % (3827893)CaDiCaL version: 2.1.3
% 14.82/2.55 % (3827893)Termination reason: Instruction limit
% 14.82/2.55 % (3827893)Termination phase: Saturation
% 14.82/2.55 % (3827893)Time elapsed: 0.069 s
% 14.82/2.55 % (3827893)Peak memory usage: 13 MB
% 14.82/2.55 % (3827893)Instructions burned: 117 (million)
% 14.82/2.55 % (3827894)Instruction limit reached!
% 14.82/2.55 % (3827894)------------------------------
% 14.82/2.55 % (3827894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.55 % (3827894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.55 % (3827894)CaDiCaL version: 2.1.3
% 14.82/2.55 % (3827894)Termination reason: Instruction limit
% 14.82/2.55 % (3827894)Termination phase: Saturation
% 14.82/2.55 % (3827894)Time elapsed: 0.079 s
% 14.82/2.55 % (3827894)Peak memory usage: 14 MB
% 14.82/2.55 % (3827894)Instructions burned: 132 (million)
% 14.82/2.55 % TRYING [5]
% 14.82/2.55 % (3827905)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2733172636:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.82/2.55 % TRYING [5]
% 14.82/2.55 % (3827906)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=3940190762:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.82/2.55 % (3827895)Instruction limit reached!
% 14.82/2.55 % (3827895)------------------------------
% 14.82/2.55 % (3827895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.55 % (3827895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.55 % (3827895)CaDiCaL version: 2.1.3
% 14.82/2.55 % (3827895)Termination reason: Instruction limit
% 14.82/2.55 % (3827895)Termination phase: Saturation
% 14.82/2.55 % (3827895)Time elapsed: 0.103 s
% 14.82/2.55 % (3827895)Peak memory usage: 14 MB
% 14.82/2.55 % (3827895)Instructions burned: 164 (million)
% 14.82/2.55 % (3827909)ott-21_1_sil=16000:fs=off:random_seed=4035800685:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.82/2.55 % (3827905)Instruction limit reached!
% 14.82/2.55 % (3827905)------------------------------
% 14.82/2.55 % (3827905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827905)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827905)Termination reason: Instruction limit
% 17.62/3.19 % (3827905)Termination phase: Saturation
% 17.62/3.19 % (3827905)Time elapsed: 0.070 s
% 17.62/3.19 % (3827905)Peak memory usage: 13 MB
% 17.62/3.19 % (3827905)Instructions burned: 133 (million)
% 17.62/3.19 % (3827911)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3306916732:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.62/3.19 % TRYING [6]
% 17.62/3.19 % TRYING [6]
% 17.62/3.19 % (3827903)Instruction limit reached!
% 17.62/3.19 % (3827903)------------------------------
% 17.62/3.19 % (3827903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827903)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827903)Termination reason: Instruction limit
% 17.62/3.19 % (3827903)Termination phase: Finite model building constraint generation
% 17.62/3.19 % (3827903)Time elapsed: 0.167 s
% 17.62/3.19 % (3827903)Peak memory usage: 28 MB
% 17.62/3.19 % (3827903)Instructions burned: 720 (million)
% 17.62/3.19 % (3827909)Instruction limit reached!
% 17.62/3.19 % (3827909)------------------------------
% 17.62/3.19 % (3827909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827909)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827909)Termination reason: Instruction limit
% 17.62/3.19 % (3827909)Termination phase: Saturation
% 17.62/3.19 % (3827909)Time elapsed: 0.094 s
% 17.62/3.19 % (3827909)Peak memory usage: 14 MB
% 17.62/3.19 % (3827909)Instructions burned: 182 (million)
% 17.62/3.19 % (3827913)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=759673888:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.62/3.19 % TRYING [1]
% 17.62/3.19 % TRYING [2]
% 17.62/3.19 % TRYING [3]
% 17.62/3.19 % (3827914)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1007577946:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 17.62/3.19 % TRYING [4]
% 17.62/3.19 % TRYING [5]
% 17.62/3.19 % (3827913)Instruction limit reached!
% 17.62/3.19 % (3827913)------------------------------
% 17.62/3.19 % (3827913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827913)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827913)Termination reason: Instruction limit
% 17.62/3.19 % (3827913)Termination phase: Finite model building SAT solving
% 17.62/3.19 % (3827913)Time elapsed: 0.184 s
% 17.62/3.19 % (3827913)Peak memory usage: 22 MB
% 17.62/3.19 % (3827913)Instructions burned: 869 (million)
% 17.62/3.19 % (3827917)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1032695063:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 17.62/3.19 % TRYING [7]
% 17.62/3.19 % (3827906)Instruction limit reached!
% 17.62/3.19 % (3827906)------------------------------
% 17.62/3.19 % (3827906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827906)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827906)Termination reason: Instruction limit
% 17.62/3.19 % (3827906)Termination phase: Saturation
% 17.62/3.19 % (3827906)Time elapsed: 0.364 s
% 17.62/3.19 % (3827906)Peak memory usage: 24 MB
% 17.62/3.19 % (3827906)Instructions burned: 684 (million)
% 17.62/3.19 % TRYING [14]
% 17.62/3.19 % (3827919)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=2176243210:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 17.62/3.19 % (3827911)Instruction limit reached!
% 17.62/3.19 % (3827911)------------------------------
% 17.62/3.19 % (3827911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827911)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827911)Termination reason: Instruction limit
% 17.62/3.19 % (3827911)Termination phase: Saturation
% 17.62/3.19 % (3827911)Time elapsed: 0.333 s
% 17.62/3.19 % (3827911)Peak memory usage: 14 MB
% 17.62/3.19 % (3827911)Instructions burned: 477 (million)
% 17.62/3.19 % (3827921)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=251914670:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 17.62/3.19 % (3827917)Instruction limit reached!
% 17.62/3.19 % (3827917)------------------------------
% 17.62/3.19 % (3827917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827917)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827917)Termination reason: Instruction limit
% 17.62/3.19 % (3827917)Termination phase: Finite model building constraint generation
% 17.62/3.19 % (3827917)Time elapsed: 0.179 s
% 17.62/3.19 % (3827917)Peak memory usage: 70 MB
% 17.62/3.19 % (3827917)Instructions burned: 891 (million)
% 17.62/3.19 % (3827923)fmb+10_1_sil=64000:random_seed=4072645143:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 17.62/3.19 % TRYING [1]
% 17.62/3.19 % TRYING [2]
% 17.62/3.19 % TRYING [3]
% 17.62/3.19 % TRYING [4]
% 17.62/3.19 % TRYING [5]
% 17.62/3.19 % (3827919)Instruction limit reached!
% 17.62/3.19 % (3827919)------------------------------
% 17.62/3.19 % (3827919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827919)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827919)Termination reason: Instruction limit
% 17.62/3.19 % (3827919)Termination phase: Saturation
% 17.62/3.19 % (3827919)Time elapsed: 0.384 s
% 17.62/3.19 % (3827919)Peak memory usage: 23 MB
% 17.62/3.19 % (3827919)Instructions burned: 692 (million)
% 17.62/3.19 % TRYING [6]
% 17.62/3.19 % (3827914)Instruction limit reached!
% 17.62/3.19 % (3827914)------------------------------
% 17.62/3.19 % (3827914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827914)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827914)Termination reason: Instruction limit
% 17.62/3.19 % (3827914)Termination phase: Saturation
% 17.62/3.19 % (3827914)Time elapsed: 0.652 s
% 17.62/3.19 % (3827914)Peak memory usage: 27 MB
% 17.62/3.19 % (3827914)Instructions burned: 1179 (million)
% 17.62/3.19 % (3827925)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=859088107:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 17.62/3.19 % TRYING [20]
% 17.62/3.19 % (3827926)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2615095567:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 17.62/3.19 % TRYING [8]
% 17.62/3.19 % TRYING [8]
% 17.62/3.19 % (3827921)Instruction limit reached!
% 17.62/3.19 % (3827921)------------------------------
% 17.62/3.19 % (3827921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827921)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827921)Termination reason: Instruction limit
% 17.62/3.19 % (3827921)Termination phase: Saturation
% 17.62/3.19 % (3827921)Time elapsed: 0.463 s
% 17.62/3.19 % (3827921)Peak memory usage: 21 MB
% 17.62/3.19 % (3827921)Instructions burned: 881 (million)
% 17.62/3.19 % (3827929)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3337020253:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 17.62/3.19 % (3827926)Instruction limit reached!
% 17.62/3.19 % (3827926)------------------------------
% 17.62/3.19 % (3827926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827926)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827926)Termination reason: Instruction limit
% 17.62/3.19 % (3827926)Termination phase: Finite model building constraint generation
% 17.62/3.19 % (3827926)Time elapsed: 0.345 s
% 17.62/3.19 % (3827926)Peak memory usage: 75 MB
% 17.62/3.19 % (3827926)Instructions burned: 922 (million)
% 17.62/3.19 % TRYING [7]
% 17.62/3.19 % (3827931)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2270872132:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 17.62/3.19 % TRYING [9]
% 17.62/3.19 % (3827931)Instruction limit reached!
% 17.62/3.19 % (3827931)------------------------------
% 17.62/3.19 % (3827931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.19 % (3827931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.19 % (3827931)CaDiCaL version: 2.1.3
% 17.62/3.19 % (3827931)Termination reason: Instruction limit
% 17.62/3.19 % (3827931)Termination phase: Saturation
% 17.62/3.19 % (3827931)Time elapsed: 0.802 s
% 17.62/3.19 % (3827931)Peak memory usage: 29 MB
% 17.62/3.19 % (3827931)Instructions burned: 1472 (million)
% 17.62/3.19 % TRYING [8]
% 17.62/3.19 % (3827933)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3097514060:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 17.62/3.19 % TRYING [77]
% 17.62/3.19 % (3827929) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3827884-3827929"...
% 17.62/3.19 % (3827929)...printing done.
% 17.62/3.19 % (3827929)Refutation found. Thanks to Tanya!
% 17.62/3.19 % SZS status Theorem for theBenchmark
% 17.62/3.19 % SZS output start Proof for theBenchmark
% See solution above
% 17.62/3.20 % (3827929)------------------------------
% 17.62/3.20 % (3827929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.62/3.20 % (3827929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.20 % (3827929)CaDiCaL version: 2.1.3
% 17.62/3.20 % (3827929)Termination reason: Refutation
% 17.62/3.20 % (3827929)Time elapsed: 1.673 s
% 17.62/3.20 % (3827929)Peak memory usage: 36 MB
% 17.62/3.20 % (3827929)Instructions burned: 3098 (million)
% 17.62/3.20 % (3827884)Success in time 2.788 s
% 17.62/3.20 % Vampire exiting
%------------------------------------------------------------------------------