%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC099+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:04:39 PM UTC 2026
% Result : Theorem 12.37s 2.70s
% Output : Refutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of formulae : 184 ( 20 unt; 14 def)
% Number of atoms : 600 ( 78 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 714 ( 298 ~; 329 |; 38 &)
% ( 22 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
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(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
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(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& frontsegP(X1,X0) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& frontsegP(X1,X0) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f157,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f185,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ frontsegP(X1,X0) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ frontsegP(X1,X0) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f100]) ).
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(f305,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
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(f337,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f345,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f347,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f359,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f382,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f411,plain,
( ~ frontsegP(sK48,sK47)
| ~ neq(sK47,nil)
| nil = sK48 ),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
! [X4] :
( ~ equalelemsP(X4)
| ~ segmentP(X4,sK49)
| ~ frontsegP(sK50,X4)
| ~ neq(sK49,X4)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
( neq(sK48,nil)
| nil != sK47 ),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
frontsegP(sK50,sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f427,plain,
( neq(sK50,nil)
| nil != sK49 ),
inference(definition_unfolding,[],[f414,f420,f419]) ).
fof(f429,plain,
( ~ frontsegP(sK50,sK49)
| ~ neq(sK49,nil)
| nil = sK50 ),
inference(definition_unfolding,[],[f411,f420,f419,f419,f420]) ).
fof(f432,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f234]) ).
fof(f444,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f304]) ).
fof(f446,plain,
! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| frontsegP(cons(X1,X2),cons(X1,X3)) ),
inference(equality_resolution,[],[f344]) ).
fof(f455,plain,
! [X1] :
( ~ singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(consistent_polarity_flipping,[],[f432]) ).
fof(f499,plain,
singletonP(nil),
inference(consistent_polarity_flipping,[],[f337]) ).
fof(f504,plain,
! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| frontsegP(X2,X3)
| ~ frontsegP(cons(X1,X2),cons(X1,X3)) ),
inference(consistent_polarity_flipping,[],[f446]) ).
fof(f507,plain,
! [X0] :
( ~ frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f345]) ).
fof(f508,plain,
! [X0] :
( frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f347]) ).
fof(f523,plain,
! [X0] :
( ~ equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f382]) ).
fof(f534,plain,
~ frontsegP(sK50,sK49),
inference(consistent_polarity_flipping,[],[f418]) ).
fof(f536,plain,
! [X4] :
( ~ segmentP(X4,sK49)
| equalelemsP(X4)
| frontsegP(sK50,X4)
| ~ neq(sK49,X4)
| ~ ssList(X4) ),
inference(consistent_polarity_flipping,[],[f413]) ).
fof(f538,plain,
( frontsegP(sK50,sK49)
| ~ neq(sK49,nil)
| nil = sK50 ),
inference(consistent_polarity_flipping,[],[f429]) ).
fof(f541,plain,
! [X2,X3,X1] :
( ~ frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| frontsegP(X2,X3)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f543,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f547,definition,
( spl51_1
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f548,plain,
( nil != sK50
| spl51_1 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f549,plain,
( nil = sK50
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,definition,
( spl51_2
<=> neq(sK49,nil) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f553,plain,
( ~ neq(sK49,nil)
| spl51_2 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f555,definition,
( spl51_3
<=> frontsegP(sK50,sK49) ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f556,plain,
( ~ frontsegP(sK50,sK49)
| spl51_3 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f558,plain,
( spl51_1
| ~ spl51_2
| spl51_3 ),
inference(avatar_split_clause,[],[f538,f555,f551,f547]) ).
fof(f560,definition,
( spl51_4
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f561,plain,
( nil = sK49
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f562,plain,
( nil != sK49
| spl51_4 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f565,definition,
( spl51_5
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f567,plain,
( neq(sK50,nil)
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( ~ spl51_4
| spl51_5 ),
inference(avatar_split_clause,[],[f427,f565,f560]) ).
fof(f570,plain,
~ spl51_3,
inference(avatar_split_clause,[],[f534,f555]) ).
fof(f576,definition,
( spl51_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl51_7])],[avatar_definition]) ).
fof(f577,plain,
( ssList(nil)
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f605,plain,
spl51_7,
inference(avatar_split_clause,[],[f306,f576]) ).
fof(f688,plain,
( ~ ssList(nil)
| nil = sK49
| ~ ssList(sK49)
| spl51_2 ),
inference(resolution,[],[f303,f553]) ).
fof(f695,plain,
( nil = sK49
| ~ ssList(sK49)
| spl51_2
| ~ spl51_7 ),
inference(forward_subsumption_resolution,[],[f688,f577]) ).
fof(f696,plain,
( nil = sK49
| spl51_2
| ~ spl51_7 ),
inference(forward_subsumption_resolution,[],[f695,f421]) ).
fof(f697,plain,
( spl51_4
| spl51_2
| ~ spl51_7 ),
inference(avatar_split_clause,[],[f696,f576,f551,f560]) ).
fof(f700,plain,
( neq(nil,nil)
| ~ spl51_1
| ~ spl51_5 ),
inference(superposition,[],[f567,f549]) ).
fof(f701,plain,
( ~ frontsegP(nil,sK49)
| ~ spl51_1
| spl51_3 ),
inference(superposition,[],[f556,f549]) ).
fof(f746,plain,
( ~ ssList(nil)
| ~ spl51_1
| ~ spl51_5 ),
inference(resolution,[],[f700,f543]) ).
fof(f747,plain,
( $false
| ~ spl51_1
| ~ spl51_5
| ~ spl51_7 ),
inference(forward_subsumption_resolution,[],[f746,f577]) ).
fof(f748,plain,
( ~ spl51_1
| ~ spl51_5
| ~ spl51_7 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f758,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| equalelemsP(X0)
| frontsegP(sK50,X0)
| ~ neq(nil,X0)
| ~ ssList(X0) )
| ~ spl51_4 ),
inference(superposition,[],[f536,f561]) ).
fof(f766,plain,
( ! [X0] :
( ~ neq(nil,X0)
| frontsegP(sK50,X0)
| equalelemsP(X0)
| ~ ssList(X0) )
| ~ spl51_4 ),
inference(forward_subsumption_resolution,[],[f758,f359]) ).
fof(f926,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f389,f416]) ).
fof(f927,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| spl51_1 ),
inference(forward_subsumption_resolution,[],[f926,f548]) ).
fof(f1027,definition,
( spl51_29
<=> sK50 = cons(hd(sK50),tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_29])],[avatar_definition]) ).
fof(f1029,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| ~ spl51_29 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1044,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ spl51_1
| spl51_3 ),
inference(resolution,[],[f701,f508]) ).
fof(f1045,plain,
( ~ ssList(sK49)
| ~ spl51_1
| spl51_3
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f1044,f562]) ).
fof(f1046,plain,
( $false
| ~ spl51_1
| spl51_3
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f1045,f421]) ).
fof(f1047,plain,
( ~ spl51_1
| spl51_3
| spl51_4 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1054,plain,
( spl51_29
| spl51_1 ),
inference(avatar_split_clause,[],[f927,f547,f1027]) ).
fof(f1859,plain,
( ! [X0] :
( ~ frontsegP(sK50,cons(hd(sK50),X0))
| ~ ssList(tl(sK50))
| ~ ssList(X0)
| frontsegP(tl(sK50),X0)
| ~ ssItem(hd(sK50)) )
| ~ spl51_29 ),
inference(superposition,[],[f541,f1029]) ).
fof(f1862,definition,
( spl51_47
<=> ssItem(hd(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_47])],[avatar_definition]) ).
fof(f1863,plain,
( ssItem(hd(sK50))
| ~ spl51_47 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1864,plain,
( ~ ssItem(hd(sK50))
| spl51_47 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1866,definition,
( spl51_48
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_48])],[avatar_definition]) ).
fof(f1867,plain,
( ssList(tl(sK50))
| ~ spl51_48 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1868,plain,
( ~ ssList(tl(sK50))
| spl51_48 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1875,definition,
( spl51_50
<=> ! [X0] :
( ~ frontsegP(sK50,cons(hd(sK50),X0))
| frontsegP(tl(sK50),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_50])],[avatar_definition]) ).
fof(f1876,plain,
( ! [X0] :
( ~ frontsegP(sK50,cons(hd(sK50),X0))
| frontsegP(tl(sK50),X0)
| ~ ssList(X0) )
| ~ spl51_50 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1877,plain,
( ~ spl51_47
| ~ spl51_48
| spl51_50
| ~ spl51_29 ),
inference(avatar_split_clause,[],[f1859,f1027,f1875,f1866,f1862]) ).
fof(f1935,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_47 ),
inference(resolution,[],[f1864,f314]) ).
fof(f1936,plain,
( ~ ssList(sK50)
| spl51_1
| spl51_47 ),
inference(forward_subsumption_resolution,[],[f1935,f548]) ).
fof(f1937,plain,
( $false
| spl51_1
| spl51_47 ),
inference(forward_subsumption_resolution,[],[f1936,f416]) ).
fof(f1938,plain,
( spl51_1
| spl51_47 ),
inference(avatar_contradiction_clause,[],[f1937]) ).
fof(f1971,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_48 ),
inference(resolution,[],[f1868,f316]) ).
fof(f1972,plain,
( ~ ssList(sK50)
| spl51_1
| spl51_48 ),
inference(forward_subsumption_resolution,[],[f1971,f548]) ).
fof(f1973,plain,
( $false
| spl51_1
| spl51_48 ),
inference(forward_subsumption_resolution,[],[f1972,f416]) ).
fof(f1974,plain,
( spl51_1
| spl51_48 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
fof(f2558,plain,
( ! [X0] :
( frontsegP(sK50,X0)
| equalelemsP(X0)
| ~ ssList(X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl51_4 ),
inference(resolution,[],[f766,f303]) ).
fof(f2560,plain,
( ! [X0] :
( frontsegP(sK50,X0)
| equalelemsP(X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl51_4 ),
inference(duplicate_literal_removal,[],[f2558]) ).
fof(f2561,plain,
( ! [X0] :
( frontsegP(sK50,X0)
| equalelemsP(X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl51_4
| ~ spl51_7 ),
inference(forward_subsumption_resolution,[],[f2560,f577]) ).
fof(f36853,definition,
( spl51_2804
<=> frontsegP(tl(sK50),nil) ),
introduced(definition,[new_symbols(definition,[spl51_2804])],[avatar_definition]) ).
fof(f36854,plain,
( ~ frontsegP(tl(sK50),nil)
| spl51_2804 ),
inference(avatar_component_clause,[],[f36853]) ).
fof(f36855,plain,
( frontsegP(tl(sK50),nil)
| ~ spl51_2804 ),
inference(avatar_component_clause,[],[f36853]) ).
fof(f36886,plain,
( ~ ssList(tl(sK50))
| ~ spl51_2804 ),
inference(resolution,[],[f36855,f507]) ).
fof(f36891,plain,
( $false
| ~ spl51_48
| ~ spl51_2804 ),
inference(forward_subsumption_resolution,[],[f36886,f1867]) ).
fof(f36892,plain,
( ~ spl51_48
| ~ spl51_2804 ),
inference(avatar_contradiction_clause,[],[f36891]) ).
fof(f94340,definition,
( spl51_8110
<=> nil = cons(hd(sK50),nil) ),
introduced(definition,[new_symbols(definition,[spl51_8110])],[avatar_definition]) ).
fof(f94341,plain,
( nil != cons(hd(sK50),nil)
| spl51_8110 ),
inference(avatar_component_clause,[],[f94340]) ).
fof(f94342,plain,
( nil = cons(hd(sK50),nil)
| ~ spl51_8110 ),
inference(avatar_component_clause,[],[f94340]) ).
fof(f94344,definition,
( spl51_8111
<=> ssList(cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_8111])],[avatar_definition]) ).
fof(f94345,plain,
( ssList(cons(hd(sK50),nil))
| ~ spl51_8111 ),
inference(avatar_component_clause,[],[f94344]) ).
fof(f94346,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl51_8111 ),
inference(avatar_component_clause,[],[f94344]) ).
fof(f94352,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| spl51_8111 ),
inference(resolution,[],[f94346,f305]) ).
fof(f94353,plain,
( ~ ssList(nil)
| ~ spl51_47
| spl51_8111 ),
inference(forward_subsumption_resolution,[],[f94352,f1863]) ).
fof(f94354,plain,
( $false
| ~ spl51_7
| ~ spl51_47
| spl51_8111 ),
inference(forward_subsumption_resolution,[],[f94353,f577]) ).
fof(f94355,plain,
( ~ spl51_7
| ~ spl51_47
| spl51_8111 ),
inference(avatar_contradiction_clause,[],[f94354]) ).
fof(f94931,definition,
( spl51_8130
<=> frontsegP(sK50,cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_8130])],[avatar_definition]) ).
fof(f94932,plain,
( ~ frontsegP(sK50,cons(hd(sK50),nil))
| spl51_8130 ),
inference(avatar_component_clause,[],[f94931]) ).
fof(f94933,plain,
( frontsegP(sK50,cons(hd(sK50),nil))
| ~ spl51_8130 ),
inference(avatar_component_clause,[],[f94931]) ).
fof(f96196,plain,
( ~ singletonP(nil)
| ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ spl51_8110 ),
inference(superposition,[],[f455,f94342]) ).
fof(f96300,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ spl51_8110 ),
inference(forward_subsumption_resolution,[],[f96196,f499]) ).
fof(f96346,plain,
( ~ ssList(nil)
| ~ spl51_47
| ~ spl51_8110 ),
inference(forward_subsumption_resolution,[],[f96300,f1863]) ).
fof(f96352,plain,
( $false
| ~ spl51_7
| ~ spl51_47
| ~ spl51_8110 ),
inference(forward_subsumption_resolution,[],[f96346,f577]) ).
fof(f96353,plain,
( ~ spl51_7
| ~ spl51_47
| ~ spl51_8110 ),
inference(avatar_contradiction_clause,[],[f96352]) ).
fof(f96368,plain,
( frontsegP(tl(sK50),nil)
| ~ ssList(nil)
| ~ spl51_50
| ~ spl51_8130 ),
inference(resolution,[],[f94933,f1876]) ).
fof(f96374,plain,
( ~ ssList(nil)
| ~ spl51_50
| spl51_2804
| ~ spl51_8130 ),
inference(forward_subsumption_resolution,[],[f96368,f36854]) ).
fof(f96377,plain,
( $false
| ~ spl51_7
| ~ spl51_50
| spl51_2804
| ~ spl51_8130 ),
inference(forward_subsumption_resolution,[],[f96374,f577]) ).
fof(f96378,plain,
( ~ spl51_7
| ~ spl51_50
| spl51_2804
| ~ spl51_8130 ),
inference(avatar_contradiction_clause,[],[f96377]) ).
fof(f96381,plain,
( equalelemsP(cons(hd(sK50),nil))
| ~ ssList(cons(hd(sK50),nil))
| nil = cons(hd(sK50),nil)
| ~ spl51_4
| ~ spl51_7
| spl51_8130 ),
inference(resolution,[],[f94932,f2561]) ).
fof(f96409,plain,
( equalelemsP(cons(hd(sK50),nil))
| nil = cons(hd(sK50),nil)
| ~ spl51_4
| ~ spl51_7
| ~ spl51_8111
| spl51_8130 ),
inference(forward_subsumption_resolution,[],[f96381,f94345]) ).
fof(f96423,plain,
( equalelemsP(cons(hd(sK50),nil))
| ~ spl51_4
| ~ spl51_7
| spl51_8110
| ~ spl51_8111
| spl51_8130 ),
inference(forward_subsumption_resolution,[],[f96409,f94341]) ).
fof(f96468,plain,
( ~ ssItem(hd(sK50))
| ~ spl51_4
| ~ spl51_7
| spl51_8110
| ~ spl51_8111
| spl51_8130 ),
inference(resolution,[],[f96423,f523]) ).
fof(f96515,plain,
( $false
| ~ spl51_4
| ~ spl51_7
| ~ spl51_47
| spl51_8110
| ~ spl51_8111
| spl51_8130 ),
inference(forward_subsumption_resolution,[],[f96468,f1863]) ).
fof(f96516,plain,
( ~ spl51_4
| ~ spl51_7
| ~ spl51_47
| spl51_8110
| ~ spl51_8111
| spl51_8130 ),
inference(avatar_contradiction_clause,[],[f96515]) ).
cnf(s1,plain,
( spl51_1
| ~ spl51_2
| spl51_3 ),
inference(sat_conversion,[],[f558]) ).
cnf(s3,plain,
( ~ spl51_4
| spl51_5 ),
inference(sat_conversion,[],[f568]) ).
cnf(s5,plain,
~ spl51_3,
inference(sat_conversion,[],[f570]) ).
cnf(s14,plain,
spl51_7,
inference(sat_conversion,[],[f605]) ).
cnf(s16,plain,
( spl51_2
| spl51_4
| ~ spl51_7 ),
inference(sat_conversion,[],[f697]) ).
cnf(s17,plain,
( ~ spl51_1
| ~ spl51_5
| ~ spl51_7 ),
inference(sat_conversion,[],[f748]) ).
cnf(s36,plain,
( ~ spl51_1
| spl51_3
| spl51_4 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s41,plain,
( spl51_1
| spl51_29 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s68,plain,
( ~ spl51_29
| ~ spl51_47
| ~ spl51_48
| spl51_50 ),
inference(sat_conversion,[],[f1877]) ).
cnf(s82,plain,
( spl51_1
| spl51_47 ),
inference(sat_conversion,[],[f1938]) ).
cnf(s86,plain,
( spl51_1
| spl51_48 ),
inference(sat_conversion,[],[f1974]) ).
cnf(s3499,plain,
( ~ spl51_48
| ~ spl51_2804 ),
inference(sat_conversion,[],[f36892]) ).
cnf(s9006,plain,
( ~ spl51_7
| ~ spl51_47
| spl51_8111 ),
inference(sat_conversion,[],[f94355]) ).
cnf(s9284,plain,
( ~ spl51_7
| ~ spl51_47
| ~ spl51_8110 ),
inference(sat_conversion,[],[f96353]) ).
cnf(s9287,plain,
( ~ spl51_7
| ~ spl51_50
| spl51_2804
| ~ spl51_8130 ),
inference(sat_conversion,[],[f96378]) ).
cnf(s9296,plain,
( ~ spl51_4
| ~ spl51_7
| ~ spl51_47
| spl51_8110
| ~ spl51_8111
| spl51_8130 ),
inference(sat_conversion,[],[f96516]) ).
cnf(s9554,plain,
( spl51_1
| ~ spl51_2 ),
inference(rat,[],[s1,s5]) ).
cnf(s9555,plain,
spl51_1,
inference(rat,[],[s9296,s9287,s16,s68,s9006,s9284,s3499,s9554,s41,s82,s86,s14]) ).
cnf(s9556,plain,
spl51_4,
inference(rat,[],[s36,s5,s9555]) ).
cnf(s9557,plain,
~ spl51_5,
inference(rat,[],[s17,s14,s9555]) ).
cnf(s9596,plain,
$false,
inference(rat,[],[s3,s9557,s9556]) ).
fof(f96517,plain,
$false,
inference(avatar_sat_refutation,[],[s9596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC099+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:51:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 15.35/2.66 % (191078)Will run a generic schedule for satisfiability detection.
% 15.35/2.66 % (191089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4229815296:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.35/2.66 % (191084)% WARNING: option uhcvi not known.
% 15.35/2.66 % (191086)dis+10_1_sil=32000:sp=arity:random_seed=4065774310:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.35/2.66 % (191083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3086921452_2999 on theBenchmark for (2999ds/0Mi)
% 15.35/2.66 % (191085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=335115456:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.35/2.66 % (191087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2210806949:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.35/2.66 % (191088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=767226164:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.35/2.66 % (191084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=349646231:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.35/2.66 % TRYING [1]
% 15.35/2.66 % TRYING [2]
% 15.35/2.66 % TRYING [3]
% 15.35/2.66 % TRYING [4]
% 15.35/2.66 % (191089)Instruction limit reached!
% 15.35/2.66 % (191089)------------------------------
% 15.35/2.66 % (191089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.35/2.66 % (191089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.35/2.66 % (191089)CaDiCaL version: 2.1.3
% 15.35/2.66 % (191089)Termination reason: Instruction limit
% 15.35/2.66 % (191089)Termination phase: Saturation
% 15.35/2.66 % (191089)Time elapsed: 0.059 s
% 15.35/2.66 % (191089)Peak memory usage: 15 MB
% 15.35/2.66 % (191089)Instructions burned: 160 (million)
% 15.35/2.66 % (191086)Instruction limit reached!
% 15.35/2.66 % (191086)------------------------------
% 15.35/2.66 % (191086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.35/2.66 % (191086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.35/2.66 % (191086)CaDiCaL version: 2.1.3
% 15.35/2.66 % (191086)Termination reason: Instruction limit
% 15.35/2.66 % (191086)Termination phase: Saturation
% 15.35/2.66 % (191086)Time elapsed: 0.062 s
% 15.35/2.66 % (191086)Peak memory usage: 13 MB
% 15.35/2.66 % (191086)Instructions burned: 104 (million)
% 15.35/2.66 % (191097)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2169850101:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.35/2.66 % TRYING [1]
% 15.35/2.66 % TRYING [2]
% 15.35/2.66 % (191087)Instruction limit reached!
% 15.35/2.66 % (191087)------------------------------
% 15.35/2.66 % (191087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.35/2.66 % (191087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.35/2.66 % (191087)CaDiCaL version: 2.1.3
% 15.35/2.66 % (191087)Termination reason: Instruction limit
% 15.35/2.66 % (191087)Termination phase: Saturation
% 15.35/2.66 % (191087)Time elapsed: 0.071 s
% 15.35/2.66 % (191087)Peak memory usage: 13 MB
% 15.35/2.66 % (191087)Instructions burned: 116 (million)
% 15.35/2.66 % TRYING [3]
% 15.35/2.66 % (191088)Instruction limit reached!
% 15.35/2.66 % (191088)------------------------------
% 15.35/2.66 % (191088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.35/2.66 % (191088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.35/2.66 % (191088)CaDiCaL version: 2.1.3
% 15.35/2.66 % (191088)Termination reason: Instruction limit
% 15.35/2.66 % (191088)Termination phase: Saturation
% 15.35/2.66 % (191088)Time elapsed: 0.075 s
% 15.35/2.66 % (191088)Peak memory usage: 14 MB
% 15.35/2.66 % (191088)Instructions burned: 131 (million)
% 15.35/2.66 % (191099)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2237792586:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.35/2.66 % TRYING [4]
% 15.35/2.66 % TRYING [5]
% 15.35/2.66 % (191100)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=2721779886:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.35/2.66 % (191101)ott-21_1_sil=16000:fs=off:random_seed=2024242923:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.35/2.66 % TRYING [5]
% 15.35/2.66 % (191099)Instruction limit reached!
% 15.35/2.66 % (191099)------------------------------
% 15.35/2.66 % (191099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.35/2.66 % (191099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191099)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191099)Termination reason: Instruction limit
% 12.37/2.70 % (191099)Termination phase: Saturation
% 12.37/2.70 % (191099)Time elapsed: 0.074 s
% 12.37/2.70 % (191099)Peak memory usage: 13 MB
% 12.37/2.70 % (191099)Instructions burned: 132 (million)
% 12.37/2.70 % (191105)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=281224181:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.37/2.70 % (191101)Instruction limit reached!
% 12.37/2.70 % (191101)------------------------------
% 12.37/2.70 % (191101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191101)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191101)Termination reason: Instruction limit
% 12.37/2.70 % (191101)Termination phase: Saturation
% 12.37/2.70 % (191101)Time elapsed: 0.091 s
% 12.37/2.70 % (191101)Peak memory usage: 13 MB
% 12.37/2.70 % (191101)Instructions burned: 180 (million)
% 12.37/2.70 % TRYING [6]
% 12.37/2.70 % (191107)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2643399712:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.37/2.70 % TRYING [6]
% 12.37/2.70 % TRYING [1]
% 12.37/2.70 % (191097)Instruction limit reached!
% 12.37/2.70 % (191097)------------------------------
% 12.37/2.70 % (191097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191097)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191097)Termination reason: Instruction limit
% 12.37/2.70 % (191097)Termination phase: Finite model building constraint generation
% 12.37/2.70 % (191097)Time elapsed: 0.157 s
% 12.37/2.70 % (191097)Peak memory usage: 27 MB
% 12.37/2.70 % (191097)Instructions burned: 720 (million)
% 12.37/2.70 % TRYING [2]
% 12.37/2.70 % (191109)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=186070647:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 12.37/2.70 % TRYING [3]
% 12.37/2.70 % TRYING [4]
% 12.37/2.70 % TRYING [5]
% 12.37/2.70 % (191100)Instruction limit reached!
% 12.37/2.70 % (191100)------------------------------
% 12.37/2.70 % (191100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191100)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191100)Termination reason: Instruction limit
% 12.37/2.70 % (191100)Termination phase: Saturation
% 12.37/2.70 % (191100)Time elapsed: 0.363 s
% 12.37/2.70 % (191100)Peak memory usage: 22 MB
% 12.37/2.70 % (191100)Instructions burned: 685 (million)
% 12.37/2.70 % (191111)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3254559220:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 12.37/2.70 % (191105)Instruction limit reached!
% 12.37/2.70 % (191105)------------------------------
% 12.37/2.70 % (191105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191105)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191105)Termination reason: Instruction limit
% 12.37/2.70 % (191105)Termination phase: Saturation
% 12.37/2.70 % (191105)Time elapsed: 0.326 s
% 12.37/2.70 % (191105)Peak memory usage: 14 MB
% 12.37/2.70 % (191105)Instructions burned: 477 (million)
% 12.37/2.70 % TRYING [7]
% 12.37/2.70 % (191113)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=248923200: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)
% 12.37/2.70 % (191107)Instruction limit reached!
% 12.37/2.70 % (191107)------------------------------
% 12.37/2.70 % (191107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191107)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191107)Termination reason: Instruction limit
% 12.37/2.70 % (191107)Termination phase: Finite model building SAT solving
% 12.37/2.70 % (191107)Time elapsed: 0.344 s
% 12.37/2.70 % (191107)Peak memory usage: 23 MB
% 12.37/2.70 % (191107)Instructions burned: 866 (million)
% 12.37/2.70 % (191115)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4234784214:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 12.37/2.70 % (191109)Instruction limit reached!
% 12.37/2.70 % (191109)------------------------------
% 12.37/2.70 % (191109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191109)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191109)Termination reason: Instruction limit
% 12.37/2.70 % (191109)Termination phase: Saturation
% 12.37/2.70 % (191109)Time elapsed: 0.347 s
% 12.37/2.70 % (191109)Peak memory usage: 30 MB
% 12.37/2.70 % (191109)Instructions burned: 1182 (million)
% 12.37/2.70 % TRYING [14]
% 12.37/2.70 % (191117)fmb+10_1_sil=64000:random_seed=1521391484:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 12.37/2.70 % TRYING [1]
% 12.37/2.70 % TRYING [2]
% 12.37/2.70 % TRYING [3]
% 12.37/2.70 % TRYING [4]
% 12.37/2.70 % TRYING [5]
% 12.37/2.70 % (191111)Instruction limit reached!
% 12.37/2.70 % (191111)------------------------------
% 12.37/2.70 % (191111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191111)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191111)Termination reason: Instruction limit
% 12.37/2.70 % (191111)Termination phase: Finite model building constraint generation
% 12.37/2.70 % (191111)Time elapsed: 0.320 s
% 12.37/2.70 % (191111)Peak memory usage: 70 MB
% 12.37/2.70 % (191111)Instructions burned: 890 (million)
% 12.37/2.70 % (191119)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=879064516:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 12.37/2.70 % TRYING [20]
% 12.37/2.70 % TRYING [6]
% 12.37/2.70 % (191113)Instruction limit reached!
% 12.37/2.70 % (191113)------------------------------
% 12.37/2.70 % (191113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191113)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191113)Termination reason: Instruction limit
% 12.37/2.70 % (191113)Termination phase: Saturation
% 12.37/2.70 % (191113)Time elapsed: 0.364 s
% 12.37/2.70 % (191113)Peak memory usage: 26 MB
% 12.37/2.70 % (191113)Instructions burned: 694 (million)
% 12.37/2.70 % (191121)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4205198140:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 12.37/2.70 % TRYING [8]
% 12.37/2.70 % (191115)Instruction limit reached!
% 12.37/2.70 % (191115)------------------------------
% 12.37/2.70 % (191115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191115)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191115)Termination reason: Instruction limit
% 12.37/2.70 % (191115)Termination phase: Saturation
% 12.37/2.70 % (191115)Time elapsed: 0.476 s
% 12.37/2.70 % (191115)Peak memory usage: 21 MB
% 12.37/2.70 % (191115)Instructions burned: 881 (million)
% 12.37/2.70 % (191123)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=398287544:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 12.37/2.70 % TRYING [8]
% 12.37/2.70 % TRYING [7]
% 12.37/2.70 % (191121)Instruction limit reached!
% 12.37/2.70 % (191121)------------------------------
% 12.37/2.70 % (191121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191121)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191121)Termination reason: Instruction limit
% 12.37/2.70 % (191121)Termination phase: Finite model building constraint generation
% 12.37/2.70 % (191121)Time elapsed: 0.343 s
% 12.37/2.70 % (191121)Peak memory usage: 75 MB
% 12.37/2.70 % (191121)Instructions burned: 921 (million)
% 12.37/2.70 % (191125)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1309341140:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 12.37/2.70 % (191125)Instruction limit reached!
% 12.37/2.70 % (191125)------------------------------
% 12.37/2.70 % (191125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191125)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191125)Termination reason: Instruction limit
% 12.37/2.70 % (191125)Termination phase: Saturation
% 12.37/2.70 % (191125)Time elapsed: 0.742 s
% 12.37/2.70 % (191125)Peak memory usage: 25 MB
% 12.37/2.70 % (191125)Instructions burned: 1472 (million)
% 12.37/2.70 % TRYING [8]
% 12.37/2.70 % (191127)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4158715618:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 12.37/2.70 % TRYING [77]
% 12.37/2.70 % (191084) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-191078-191084"...
% 12.37/2.70 % (191084)...printing done.
% 12.37/2.70 % (191084)Refutation found. Thanks to Tanya!
% 12.37/2.70 % SZS status Theorem for theBenchmark
% 12.37/2.70 % SZS output start Proof for theBenchmark
% See solution above
% 12.37/2.70 % (191084)------------------------------
% 12.37/2.70 % (191084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.37/2.70 % (191084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.70 % (191084)CaDiCaL version: 2.1.3
% 12.37/2.70 % (191084)Termination reason: Refutation
% 12.37/2.70 % (191084)Time elapsed: 2.211 s
% 12.37/2.70 % (191084)Peak memory usage: 60 MB
% 12.37/2.70 % (191084)Instructions burned: 4162 (million)
% 12.37/2.70 % (191078)Success in time 2.291 s
% 12.37/2.70 % Vampire exiting
%------------------------------------------------------------------------------