%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC324+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 01:05:33 PM UTC 2026
% Result : Theorem 21.75s 3.38s
% Output : Refutation 21.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 114 ( 11 unt; 5 def)
% Number of atoms : 373 ( 106 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 434 ( 175 ~; 207 |; 28 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 64 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
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(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,X5) = X1
& app(X5,X4) = X0 ) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) != X2
& app(cons(X6,nil),X7) = X3 ) )
| ( 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
| ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,X5) = X1
& app(X5,X4) = X0 ) )
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) != X2
& app(cons(X6,nil),X7) = X3 ) )
| ( nil != X2
& nil = X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
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(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X4,X5) != X1
| app(X5,X4) != X0 ) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) = X2
| app(cons(X6,nil),X7) != X3 ) )
& ( nil = X2
| nil != X3 ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f305,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f309,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK44(X0),sK43(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f310,plain,
! [X0] :
( ssItem(sK44(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f311,plain,
! [X0] :
( ssList(sK43(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f313,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f314,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f319,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f391,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f396,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f410,plain,
! [X4,X5] :
( app(X5,X4) != sK47
| app(X4,X5) != sK48
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f221]) ).
fof(f411,plain,
! [X6,X7] :
( app(cons(X6,nil),X7) != sK50
| app(X7,cons(X6,nil)) = sK49
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f221]) ).
fof(f413,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f414,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f221]) ).
fof(f415,plain,
ssList(sK50),
inference(cnf_transformation,[],[f221]) ).
fof(f421,plain,
! [X4,X5] :
( app(X5,X4) != sK49
| app(X4,X5) != sK50
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f410,f413,f414]) ).
fof(f455,definition,
( spl51_1
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f457,plain,
( nil = sK49
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f459,definition,
( spl51_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f460,plain,
( nil = sK50
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f461,plain,
( nil != sK50
| spl51_2 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f462,plain,
( spl51_1
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f412,f459,f455]) ).
fof(f485,plain,
sK50 = app(nil,sK50),
inference(resolution,[],[f319,f415]) ).
fof(f513,plain,
( sK49 != sK50
| sK50 != app(sK50,nil)
| ~ ssList(nil)
| ~ ssList(sK50) ),
inference(superposition,[],[f421,f485]) ).
fof(f514,plain,
( sK49 != sK50
| ~ ssList(nil)
| ~ ssList(sK50) ),
inference(forward_subsumption_resolution,[],[f513,f396]) ).
fof(f515,plain,
( sK49 != sK50
| ~ ssList(sK50) ),
inference(forward_subsumption_resolution,[],[f514,f305]) ).
fof(f516,plain,
sK49 != sK50,
inference(forward_subsumption_resolution,[],[f515,f415]) ).
fof(f1042,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| nil = sK50 ),
inference(resolution,[],[f309,f415]) ).
fof(f1090,definition,
( spl51_4
<=> ssItem(sK44(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f1091,plain,
( ssItem(sK44(sK50))
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1092,plain,
( ~ ssItem(sK44(sK50))
| spl51_4 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1094,definition,
( spl51_5
<=> ssList(sK43(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f1095,plain,
( ssList(sK43(sK50))
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1096,plain,
( ~ ssList(sK43(sK50))
| spl51_5 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1104,plain,
( ~ ssList(sK50)
| nil = sK50
| spl51_4 ),
inference(resolution,[],[f1092,f310]) ).
fof(f1105,plain,
( nil = sK50
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f1104,f415]) ).
fof(f1106,plain,
( $false
| spl51_2
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f1105,f461]) ).
fof(f1107,plain,
( spl51_2
| spl51_4 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1113,plain,
( nil != sK49
| ~ spl51_2 ),
inference(superposition,[],[f516,f460]) ).
fof(f1120,plain,
( $false
| ~ spl51_1
| ~ spl51_2 ),
inference(forward_subsumption_resolution,[],[f1113,f457]) ).
fof(f1121,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
fof(f1132,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK50),X0)) = X0 )
| ~ spl51_4 ),
inference(resolution,[],[f1091,f316]) ).
fof(f1141,plain,
( ~ ssList(sK50)
| nil = sK50
| spl51_5 ),
inference(resolution,[],[f1096,f311]) ).
fof(f1142,plain,
( nil = sK50
| spl51_5 ),
inference(forward_subsumption_resolution,[],[f1141,f415]) ).
fof(f1143,plain,
( $false
| spl51_2
| spl51_5 ),
inference(forward_subsumption_resolution,[],[f1142,f461]) ).
fof(f1144,plain,
( spl51_2
| spl51_5 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1153,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK43(sK50))) = X0 )
| ~ spl51_5 ),
inference(resolution,[],[f1095,f314]) ).
fof(f1213,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| cons(hd(X0),X1) = app(cons(hd(X0),nil),X1) ),
inference(resolution,[],[f391,f313]) ).
fof(f1632,plain,
( sK43(sK50) = tl(cons(sK44(sK50),sK43(sK50)))
| ~ spl51_4
| ~ spl51_5 ),
inference(resolution,[],[f1132,f1095]) ).
fof(f1693,plain,
( sK44(sK50) = hd(cons(sK44(sK50),sK43(sK50)))
| ~ spl51_4
| ~ spl51_5 ),
inference(resolution,[],[f1153,f1091]) ).
fof(f1894,plain,
( sK50 = cons(sK44(sK50),sK43(sK50))
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f1042,f461]) ).
fof(f1981,plain,
( hd(sK50) = sK44(sK50)
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f1693,f1894]) ).
fof(f1982,plain,
( tl(sK50) = sK43(sK50)
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f1632,f1894]) ).
fof(f2036,plain,
( ssItem(hd(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f1091,f1981]) ).
fof(f2191,plain,
( ssList(tl(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f1095,f1982]) ).
fof(f2206,plain,
( sK50 = cons(sK44(sK50),tl(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f1894,f1982]) ).
fof(f2209,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_demodulation,[],[f2206,f1981]) ).
fof(f14852,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK50
| cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) ),
inference(resolution,[],[f1213,f415]) ).
fof(f14854,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) )
| spl51_2 ),
inference(forward_subsumption_resolution,[],[f14852,f461]) ).
fof(f46109,plain,
( cons(hd(sK50),sK43(sK50)) = app(cons(hd(sK50),nil),sK43(sK50))
| spl51_2
| ~ spl51_5 ),
inference(resolution,[],[f14854,f1095]) ).
fof(f46114,plain,
( cons(hd(sK50),tl(sK50)) = app(cons(hd(sK50),nil),tl(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_demodulation,[],[f46109,f1982]) ).
fof(f46124,plain,
( sK50 = app(cons(hd(sK50),nil),tl(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_demodulation,[],[f46114,f2209]) ).
fof(f46127,plain,
( sK50 != sK50
| sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| ~ ssItem(hd(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f411,f46124]) ).
fof(f46154,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| ~ ssItem(hd(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(trivial_inequality_removal,[],[f46127]) ).
fof(f46175,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssItem(hd(sK50))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_subsumption_resolution,[],[f46154,f2191]) ).
fof(f46177,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_subsumption_resolution,[],[f46175,f2036]) ).
fof(f46180,definition,
( spl51_56
<=> ssList(cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_56])],[avatar_definition]) ).
fof(f46181,plain,
( ssList(cons(hd(sK50),nil))
| ~ spl51_56 ),
inference(avatar_component_clause,[],[f46180]) ).
fof(f46182,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl51_56 ),
inference(avatar_component_clause,[],[f46180]) ).
fof(f46188,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| spl51_56 ),
inference(resolution,[],[f46182,f304]) ).
fof(f46189,plain,
( ~ ssList(nil)
| spl51_2
| ~ spl51_4
| ~ spl51_5
| spl51_56 ),
inference(forward_subsumption_resolution,[],[f46188,f2036]) ).
fof(f46190,plain,
( $false
| spl51_2
| ~ spl51_4
| ~ spl51_5
| spl51_56 ),
inference(forward_subsumption_resolution,[],[f46189,f305]) ).
fof(f46191,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5
| spl51_56 ),
inference(avatar_contradiction_clause,[],[f46190]) ).
fof(f70689,plain,
( sK49 != sK49
| sK50 != app(cons(hd(sK50),nil),tl(sK50))
| ~ ssList(tl(sK50))
| ~ ssList(cons(hd(sK50),nil))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(superposition,[],[f421,f46177]) ).
fof(f70702,plain,
( sK50 != app(cons(hd(sK50),nil),tl(sK50))
| ~ ssList(tl(sK50))
| ~ ssList(cons(hd(sK50),nil))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(trivial_inequality_removal,[],[f70689]) ).
fof(f70714,plain,
( ~ ssList(tl(sK50))
| ~ ssList(cons(hd(sK50),nil))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_subsumption_resolution,[],[f70702,f46124]) ).
fof(f70751,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_subsumption_resolution,[],[f70714,f2191]) ).
fof(f70777,plain,
( $false
| spl51_2
| ~ spl51_4
| ~ spl51_5
| ~ spl51_56 ),
inference(forward_subsumption_resolution,[],[f70751,f46181]) ).
fof(f70778,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5
| ~ spl51_56 ),
inference(avatar_contradiction_clause,[],[f70777]) ).
cnf(s1,plain,
( spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f462]) ).
cnf(s4,plain,
( spl51_2
| spl51_4 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s5,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s6,plain,
( spl51_2
| spl51_5 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s61,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5
| spl51_56 ),
inference(sat_conversion,[],[f46191]) ).
cnf(s92,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5
| ~ spl51_56 ),
inference(sat_conversion,[],[f70778]) ).
cnf(s111,plain,
( ~ spl51_4
| spl51_2
| ~ spl51_5 ),
inference(rat,[],[s61,s92]) ).
cnf(s112,plain,
spl51_2,
inference(rat,[],[s111,s4,s6]) ).
cnf(s113,plain,
~ spl51_1,
inference(rat,[],[s5,s112]) ).
cnf(s114,plain,
$false,
inference(rat,[],[s1,s112,s113]) ).
fof(f70796,plain,
$false,
inference(avatar_sat_refutation,[],[s114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC324+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:01:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 14.68/2.38 % (3414771)Will run a generic schedule for satisfiability detection.
% 14.68/2.38 % (3414778)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1287315112:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.68/2.38 % (3414777)% WARNING: option uhcvi not known.
% 14.68/2.38 % (3414777)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4247227079:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.68/2.38 % (3414776)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=882012527_2999 on theBenchmark for (2999ds/0Mi)
% 14.68/2.38 % (3414779)dis+10_1_sil=32000:sp=arity:random_seed=2672470000:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.68/2.38 % (3414780)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1331840724:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.68/2.38 % (3414781)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3803029526:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.68/2.38 % (3414782)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1082559121:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.68/2.38 % TRYING [1]
% 14.68/2.38 % TRYING [2]
% 14.68/2.38 % TRYING [3]
% 14.68/2.38 % TRYING [4]
% 14.68/2.38 % (3414779)Instruction limit reached!
% 14.68/2.38 % (3414779)------------------------------
% 14.68/2.38 % (3414779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.38 % (3414779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.38 % (3414779)CaDiCaL version: 2.1.3
% 14.68/2.38 % (3414779)Termination reason: Instruction limit
% 14.68/2.38 % (3414779)Termination phase: Saturation
% 14.68/2.38 % (3414779)Time elapsed: 0.061 s
% 14.68/2.38 % (3414779)Peak memory usage: 13 MB
% 14.68/2.38 % (3414779)Instructions burned: 104 (million)
% 14.68/2.38 % (3414780)Instruction limit reached!
% 14.68/2.38 % (3414780)------------------------------
% 14.68/2.38 % (3414780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.38 % (3414780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.38 % (3414780)CaDiCaL version: 2.1.3
% 14.68/2.38 % (3414780)Termination reason: Instruction limit
% 14.68/2.38 % (3414780)Termination phase: Saturation
% 14.68/2.38 % (3414780)Time elapsed: 0.068 s
% 14.68/2.38 % (3414780)Peak memory usage: 13 MB
% 14.68/2.38 % (3414780)Instructions burned: 116 (million)
% 14.68/2.38 % (3414781)Instruction limit reached!
% 14.68/2.38 % (3414781)------------------------------
% 14.68/2.38 % (3414781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.38 % (3414781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.38 % (3414781)CaDiCaL version: 2.1.3
% 14.68/2.38 % (3414781)Termination reason: Instruction limit
% 14.68/2.38 % (3414781)Termination phase: Saturation
% 14.68/2.38 % (3414781)Time elapsed: 0.079 s
% 14.68/2.38 % (3414781)Peak memory usage: 14 MB
% 14.68/2.38 % (3414781)Instructions burned: 132 (million)
% 14.68/2.38 % (3414790)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1827777990:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.68/2.38 % (3414792)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3676173190:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.68/2.38 % TRYING [5]
% 14.68/2.38 % TRYING [1]
% 14.68/2.38 % TRYING [2]
% 14.68/2.38 % (3414782)Instruction limit reached!
% 14.68/2.38 % (3414782)------------------------------
% 14.68/2.38 % (3414782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.68/2.38 % (3414782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/2.38 % (3414782)CaDiCaL version: 2.1.3
% 14.68/2.38 % (3414782)Termination reason: Instruction limit
% 14.68/2.38 % (3414782)Termination phase: Saturation
% 14.68/2.38 % (3414782)Time elapsed: 0.098 s
% 14.68/2.38 % (3414782)Peak memory usage: 15 MB
% 14.68/2.38 % (3414782)Instructions burned: 160 (million)
% 14.68/2.38 % (3414793)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=2421598957:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.68/2.38 % TRYING [3]
% 14.68/2.38 % TRYING [4]
% 14.68/2.38 % (3414797)ott-21_1_sil=16000:fs=off:random_seed=1990318355:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.68/2.38 % (3414792)Instruction limit reached!
% 14.68/2.38 % (3414792)------------------------------
% 14.68/2.38 % (3414792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414792)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414792)Termination reason: Instruction limit
% 21.75/3.38 % (3414792)Termination phase: Saturation
% 21.75/3.38 % (3414792)Time elapsed: 0.074 s
% 21.75/3.38 % (3414792)Peak memory usage: 13 MB
% 21.75/3.38 % (3414792)Instructions burned: 132 (million)
% 21.75/3.38 % TRYING [5]
% 21.75/3.38 % (3414799)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3709621748:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.75/3.38 % (3414797)Instruction limit reached!
% 21.75/3.38 % (3414797)------------------------------
% 21.75/3.38 % (3414797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414797)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414797)Termination reason: Instruction limit
% 21.75/3.38 % (3414797)Termination phase: Saturation
% 21.75/3.38 % (3414797)Time elapsed: 0.091 s
% 21.75/3.38 % (3414797)Peak memory usage: 14 MB
% 21.75/3.38 % (3414797)Instructions burned: 181 (million)
% 21.75/3.38 % TRYING [6]
% 21.75/3.38 % (3414801)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3258463126:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.75/3.38 % TRYING [1]
% 21.75/3.38 % TRYING [2]
% 21.75/3.38 % TRYING [3]
% 21.75/3.38 % TRYING [4]
% 21.75/3.38 % TRYING [6]
% 21.75/3.38 % (3414790)Instruction limit reached!
% 21.75/3.38 % (3414790)------------------------------
% 21.75/3.38 % (3414790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414790)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414790)Termination reason: Instruction limit
% 21.75/3.38 % (3414790)Termination phase: Finite model building constraint generation
% 21.75/3.38 % (3414790)Time elapsed: 0.288 s
% 21.75/3.38 % (3414790)Peak memory usage: 27 MB
% 21.75/3.38 % (3414790)Instructions burned: 716 (million)
% 21.75/3.38 % (3414803)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2506316572:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 21.75/3.38 % TRYING [5]
% 21.75/3.38 % (3414793)Instruction limit reached!
% 21.75/3.38 % (3414793)------------------------------
% 21.75/3.38 % (3414793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414793)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414793)Termination reason: Instruction limit
% 21.75/3.38 % (3414793)Termination phase: Saturation
% 21.75/3.38 % (3414793)Time elapsed: 0.371 s
% 21.75/3.38 % (3414793)Peak memory usage: 22 MB
% 21.75/3.38 % (3414793)Instructions burned: 686 (million)
% 21.75/3.38 % (3414805)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=488739724:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 21.75/3.38 % (3414799)Instruction limit reached!
% 21.75/3.38 % (3414799)------------------------------
% 21.75/3.38 % (3414799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414799)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414799)Termination reason: Instruction limit
% 21.75/3.38 % (3414799)Termination phase: Saturation
% 21.75/3.38 % (3414799)Time elapsed: 0.313 s
% 21.75/3.38 % (3414799)Peak memory usage: 15 MB
% 21.75/3.38 % (3414799)Instructions burned: 478 (million)
% 21.75/3.38 % TRYING [7]
% 21.75/3.38 % (3414807)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=1657701131: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)
% 21.75/3.38 % (3414801)Instruction limit reached!
% 21.75/3.38 % (3414801)------------------------------
% 21.75/3.38 % (3414801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414801)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414801)Termination reason: Instruction limit
% 21.75/3.38 % (3414801)Termination phase: Finite model building SAT solving
% 21.75/3.38 % (3414801)Time elapsed: 0.352 s
% 21.75/3.38 % (3414801)Peak memory usage: 22 MB
% 21.75/3.38 % (3414801)Instructions burned: 865 (million)
% 21.75/3.38 % TRYING [14]
% 21.75/3.38 % (3414809)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1123513639:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 21.75/3.38 % (3414805)Instruction limit reached!
% 21.75/3.38 % (3414805)------------------------------
% 21.75/3.38 % (3414805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414805)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414805)Termination reason: Instruction limit
% 21.75/3.38 % (3414805)Termination phase: Finite model building constraint generation
% 21.75/3.38 % (3414805)Time elapsed: 0.321 s
% 21.75/3.38 % (3414805)Peak memory usage: 70 MB
% 21.75/3.38 % (3414805)Instructions burned: 891 (million)
% 21.75/3.38 % (3414811)fmb+10_1_sil=64000:random_seed=3045080213:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 21.75/3.38 % TRYING [1]
% 21.75/3.38 % TRYING [2]
% 21.75/3.38 % TRYING [3]
% 21.75/3.38 % (3414807)Instruction limit reached!
% 21.75/3.38 % (3414807)------------------------------
% 21.75/3.38 % (3414807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414807)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414807)Termination reason: Instruction limit
% 21.75/3.38 % (3414807)Termination phase: Saturation
% 21.75/3.38 % (3414807)Time elapsed: 0.389 s
% 21.75/3.38 % (3414807)Peak memory usage: 24 MB
% 21.75/3.38 % (3414807)Instructions burned: 692 (million)
% 21.75/3.38 % TRYING [4]
% 21.75/3.38 % (3414813)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=755757961:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 21.75/3.38 % TRYING [20]
% 21.75/3.38 % TRYING [5]
% 21.75/3.38 % (3414803)Instruction limit reached!
% 21.75/3.38 % (3414803)------------------------------
% 21.75/3.38 % (3414803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414803)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414803)Termination reason: Instruction limit
% 21.75/3.38 % (3414803)Termination phase: Saturation
% 21.75/3.38 % (3414803)Time elapsed: 0.647 s
% 21.75/3.38 % (3414803)Peak memory usage: 27 MB
% 21.75/3.38 % (3414803)Instructions burned: 1180 (million)
% 21.75/3.38 % (3414815)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=848023519:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 21.75/3.38 % (3414809)Instruction limit reached!
% 21.75/3.38 % (3414809)------------------------------
% 21.75/3.38 % (3414809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414809)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414809)Termination reason: Instruction limit
% 21.75/3.38 % (3414809)Termination phase: Saturation
% 21.75/3.38 % (3414809)Time elapsed: 0.468 s
% 21.75/3.38 % (3414809)Peak memory usage: 21 MB
% 21.75/3.38 % (3414809)Instructions burned: 879 (million)
% 21.75/3.38 % TRYING [8]
% 21.75/3.38 % (3414817)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4158246188:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 21.75/3.38 % TRYING [8]
% 21.75/3.38 % TRYING [6]
% 21.75/3.38 % (3414815)Instruction limit reached!
% 21.75/3.38 % (3414815)------------------------------
% 21.75/3.38 % (3414815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414815)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414815)Termination reason: Instruction limit
% 21.75/3.38 % (3414815)Termination phase: Finite model building constraint generation
% 21.75/3.38 % (3414815)Time elapsed: 0.343 s
% 21.75/3.38 % (3414815)Peak memory usage: 75 MB
% 21.75/3.38 % (3414815)Instructions burned: 922 (million)
% 21.75/3.38 % (3414819)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=150761089:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 21.75/3.38 % TRYING [7]
% 21.75/3.38 % (3414819)Instruction limit reached!
% 21.75/3.38 % (3414819)------------------------------
% 21.75/3.38 % (3414819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.38 % (3414819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.38 % (3414819)CaDiCaL version: 2.1.3
% 21.75/3.38 % (3414819)Termination reason: Instruction limit
% 21.75/3.38 % (3414819)Termination phase: Saturation
% 21.75/3.38 % (3414819)Time elapsed: 0.662 s
% 21.75/3.38 % (3414819)Peak memory usage: 22 MB
% 21.75/3.38 % (3414819)Instructions burned: 1474 (million)
% 21.75/3.38 % (3414821)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2470661265:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 21.75/3.38 % TRYING [77]
% 21.75/3.38 % TRYING [9]
% 21.75/3.38 % (3414817) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3414771-3414817"...
% 21.75/3.38 % (3414817)...printing done.
% 21.75/3.38 % (3414817)Refutation found. Thanks to Tanya!
% 21.75/3.38 % SZS status Theorem for theBenchmark
% 21.75/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 21.75/3.39 % (3414817)------------------------------
% 21.75/3.39 % (3414817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.39 % (3414817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.39 % (3414817)CaDiCaL version: 2.1.3
% 21.75/3.39 % (3414817)Termination reason: Refutation
% 21.75/3.39 % (3414817)Time elapsed: 1.963 s
% 21.75/3.39 % (3414817)Peak memory usage: 41 MB
% 21.75/3.39 % (3414817)Instructions burned: 3633 (million)
% 21.75/3.39 % (3414771)Success in time 3.154 s
% 21.75/3.39 % Vampire exiting
%------------------------------------------------------------------------------