%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC090+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 : n010.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 01:04:37 PM UTC 2026
% Result : Theorem 17.95s 3.25s
% Output : Refutation 17.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 114 ( 27 unt; 4 def)
% Number of atoms : 336 ( 57 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 383 ( 161 ~; 155 |; 34 &)
% ( 10 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 72 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
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(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(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/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
| ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(X5,X6) != X3
| app(X6,X5) != X2 ) ) ) ) ) ) ) ),
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)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(X5,X6) != X3
| app(X6,X5) != X2 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
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(f172,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ? [X5] :
( ? [X6] :
( app(X5,X6) = X3
& app(X6,X5) = X2
& ssList(X6) )
& ssList(X5) )
& 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)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ? [X5] :
( ? [X6] :
( app(X5,X6) = X3
& app(X6,X5) = X2
& ssList(X6) )
& ssList(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f235,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| app(X1,sK5(X0,X1)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f236,plain,
! [X0,X1] :
( ssList(sK5(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(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(f357,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f411,plain,
ssList(sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
sK49 = app(sK52,sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
sK50 = app(sK51,sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
! [X4] :
( ~ segmentP(sK47,X4)
| ~ segmentP(sK48,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
ssList(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
neq(sK48,nil),
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(f425,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f417,f419]) ).
fof(f426,plain,
! [X4] :
( ~ neq(X4,nil)
| ~ segmentP(sK50,X4)
| ~ segmentP(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f414,f418,f419]) ).
fof(f430,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f432,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f241]) ).
fof(f459,plain,
( ~ segmentP(sK50,sK50)
| ~ segmentP(sK49,sK50)
| ~ ssList(sK50) ),
inference(resolution,[],[f426,f425]) ).
fof(f460,plain,
( ~ segmentP(sK50,sK50)
| ~ segmentP(sK49,sK50) ),
inference(forward_subsumption_resolution,[],[f459,f416]) ).
fof(f462,definition,
( spl53_1
<=> segmentP(sK49,sK50) ),
introduced(definition,[new_symbols(definition,[spl53_1])],[avatar_definition]) ).
fof(f464,plain,
( ~ segmentP(sK49,sK50)
| spl53_1 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f466,definition,
( spl53_2
<=> segmentP(sK50,sK50) ),
introduced(definition,[new_symbols(definition,[spl53_2])],[avatar_definition]) ).
fof(f467,plain,
( segmentP(sK50,sK50)
| ~ spl53_2 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( ~ segmentP(sK50,sK50)
| spl53_2 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f469,plain,
( ~ spl53_1
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f460,f466,f462]) ).
fof(f493,plain,
sK51 = app(nil,sK51),
inference(resolution,[],[f320,f415]) ).
fof(f494,plain,
sK52 = app(nil,sK52),
inference(resolution,[],[f320,f411]) ).
fof(f516,plain,
sK49 = app(sK49,nil),
inference(resolution,[],[f397,f420]) ).
fof(f517,plain,
sK50 = app(sK50,nil),
inference(resolution,[],[f397,f416]) ).
fof(f634,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sK50,X0)
| ~ segmentP(sK49,X0)
| ~ ssList(X0) ),
inference(resolution,[],[f303,f426]) ).
fof(f639,plain,
! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sK50,X0)
| ~ segmentP(sK49,X0) ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f640,plain,
! [X0] :
( ~ segmentP(sK49,X0)
| ~ ssList(X0)
| ~ segmentP(sK50,X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f639,f306]) ).
fof(f1191,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f430,f318]) ).
fof(f1205,plain,
( frontsegP(sK49,sK52)
| ~ ssList(sK51)
| ~ ssList(sK52) ),
inference(superposition,[],[f1191,f412]) ).
fof(f1212,plain,
( frontsegP(sK49,sK52)
| ~ ssList(sK52) ),
inference(forward_subsumption_resolution,[],[f1205,f415]) ).
fof(f1218,plain,
frontsegP(sK49,sK52),
inference(forward_subsumption_resolution,[],[f1212,f411]) ).
fof(f1226,plain,
( ~ ssList(sK50)
| spl53_2 ),
inference(resolution,[],[f468,f357]) ).
fof(f1227,plain,
( $false
| spl53_2 ),
inference(forward_subsumption_resolution,[],[f1226,f416]) ).
fof(f1228,plain,
spl53_2,
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1260,plain,
( ~ ssList(sK52)
| sK49 = app(sK52,sK5(sK49,sK52))
| ~ ssList(sK49) ),
inference(resolution,[],[f1218,f235]) ).
fof(f1261,plain,
( sK49 = app(sK52,sK5(sK49,sK52))
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f1260,f411]) ).
fof(f1262,plain,
sK49 = app(sK52,sK5(sK49,sK52)),
inference(forward_subsumption_resolution,[],[f1261,f420]) ).
fof(f1549,definition,
( spl53_11
<=> nil = sK52 ),
introduced(definition,[new_symbols(definition,[spl53_11])],[avatar_definition]) ).
fof(f1550,plain,
( nil != sK52
| spl53_11 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1551,plain,
( nil = sK52
| ~ spl53_11 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f1719,plain,
( sK49 = app(nil,sK51)
| ~ spl53_11 ),
inference(superposition,[],[f412,f1551]) ).
fof(f1720,plain,
( sK50 = app(sK51,nil)
| ~ spl53_11 ),
inference(superposition,[],[f413,f1551]) ).
fof(f1935,plain,
( sK49 = sK51
| ~ spl53_11 ),
inference(superposition,[],[f1719,f493]) ).
fof(f2131,plain,
( sK50 = app(sK49,nil)
| ~ spl53_11 ),
inference(forward_demodulation,[],[f1720,f1935]) ).
fof(f2255,plain,
( sK49 = sK50
| ~ spl53_11 ),
inference(superposition,[],[f2131,f516]) ).
fof(f2300,plain,
( ~ segmentP(sK50,sK50)
| spl53_1
| ~ spl53_11 ),
inference(superposition,[],[f464,f2255]) ).
fof(f2327,plain,
( $false
| spl53_1
| ~ spl53_2
| ~ spl53_11 ),
inference(forward_subsumption_resolution,[],[f2300,f467]) ).
fof(f2328,plain,
( spl53_1
| ~ spl53_2
| ~ spl53_11 ),
inference(avatar_contradiction_clause,[],[f2327]) ).
fof(f2457,plain,
! [X0] :
( segmentP(app(sK52,X0),sK52)
| ~ ssList(sK52)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(sK52,X0)) ),
inference(superposition,[],[f432,f494]) ).
fof(f2462,plain,
! [X0] :
( segmentP(app(sK50,X0),sK52)
| ~ ssList(sK52)
| ~ ssList(X0)
| ~ ssList(sK51)
| ~ ssList(app(sK50,X0)) ),
inference(superposition,[],[f432,f413]) ).
fof(f2475,plain,
! [X0] :
( segmentP(app(sK50,X0),sK52)
| ~ ssList(X0)
| ~ ssList(sK51)
| ~ ssList(app(sK50,X0)) ),
inference(forward_subsumption_resolution,[],[f2462,f411]) ).
fof(f2478,plain,
! [X0] :
( segmentP(app(sK52,X0),sK52)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(sK52,X0)) ),
inference(forward_subsumption_resolution,[],[f2457,f411]) ).
fof(f2483,plain,
! [X0] :
( segmentP(app(sK50,X0),sK52)
| ~ ssList(X0)
| ~ ssList(app(sK50,X0)) ),
inference(forward_subsumption_resolution,[],[f2475,f415]) ).
fof(f2484,plain,
! [X0] :
( segmentP(app(sK52,X0),sK52)
| ~ ssList(X0)
| ~ ssList(app(sK52,X0)) ),
inference(forward_subsumption_resolution,[],[f2478,f306]) ).
fof(f3246,plain,
( segmentP(sK50,sK52)
| ~ ssList(nil)
| ~ ssList(sK50) ),
inference(superposition,[],[f2483,f517]) ).
fof(f3250,plain,
( segmentP(sK50,sK52)
| ~ ssList(sK50) ),
inference(forward_subsumption_resolution,[],[f3246,f306]) ).
fof(f3254,plain,
segmentP(sK50,sK52),
inference(forward_subsumption_resolution,[],[f3250,f416]) ).
fof(f28630,definition,
( spl53_47
<=> ssList(sK5(sK49,sK52)) ),
introduced(definition,[new_symbols(definition,[spl53_47])],[avatar_definition]) ).
fof(f28631,plain,
( ssList(sK5(sK49,sK52))
| ~ spl53_47 ),
inference(avatar_component_clause,[],[f28630]) ).
fof(f28632,plain,
( ~ ssList(sK5(sK49,sK52))
| spl53_47 ),
inference(avatar_component_clause,[],[f28630]) ).
fof(f28644,plain,
( ~ ssList(sK52)
| ~ ssList(sK49)
| ~ frontsegP(sK49,sK52)
| spl53_47 ),
inference(resolution,[],[f28632,f236]) ).
fof(f28645,plain,
( ~ ssList(sK49)
| ~ frontsegP(sK49,sK52)
| spl53_47 ),
inference(forward_subsumption_resolution,[],[f28644,f411]) ).
fof(f28646,plain,
( ~ frontsegP(sK49,sK52)
| spl53_47 ),
inference(forward_subsumption_resolution,[],[f28645,f420]) ).
fof(f28647,plain,
( $false
| spl53_47 ),
inference(forward_subsumption_resolution,[],[f28646,f1218]) ).
fof(f28648,plain,
spl53_47,
inference(avatar_contradiction_clause,[],[f28647]) ).
fof(f60454,plain,
( segmentP(sK49,sK52)
| ~ ssList(sK5(sK49,sK52))
| ~ ssList(sK49) ),
inference(superposition,[],[f2484,f1262]) ).
fof(f60501,plain,
( segmentP(sK49,sK52)
| ~ ssList(sK49)
| ~ spl53_47 ),
inference(forward_subsumption_resolution,[],[f60454,f28631]) ).
fof(f60548,plain,
( segmentP(sK49,sK52)
| ~ spl53_47 ),
inference(forward_subsumption_resolution,[],[f60501,f420]) ).
fof(f60551,plain,
( ~ ssList(sK52)
| ~ segmentP(sK50,sK52)
| nil = sK52
| ~ spl53_47 ),
inference(resolution,[],[f60548,f640]) ).
fof(f60629,plain,
( ~ segmentP(sK50,sK52)
| nil = sK52
| ~ spl53_47 ),
inference(forward_subsumption_resolution,[],[f60551,f411]) ).
fof(f60668,plain,
( nil = sK52
| ~ spl53_47 ),
inference(forward_subsumption_resolution,[],[f60629,f3254]) ).
fof(f60669,plain,
( $false
| spl53_11
| ~ spl53_47 ),
inference(forward_subsumption_resolution,[],[f60668,f1550]) ).
fof(f60670,plain,
( spl53_11
| ~ spl53_47 ),
inference(avatar_contradiction_clause,[],[f60669]) ).
cnf(s1,plain,
( ~ spl53_1
| ~ spl53_2 ),
inference(sat_conversion,[],[f469]) ).
cnf(s9,plain,
spl53_2,
inference(sat_conversion,[],[f1228]) ).
cnf(s13,plain,
( spl53_1
| ~ spl53_2
| ~ spl53_11 ),
inference(sat_conversion,[],[f2328]) ).
cnf(s53,plain,
spl53_47,
inference(sat_conversion,[],[f28648]) ).
cnf(s94,plain,
( spl53_11
| ~ spl53_47 ),
inference(sat_conversion,[],[f60670]) ).
cnf(s102,plain,
spl53_11,
inference(rat,[],[s94,s53]) ).
cnf(s122,plain,
( spl53_1
| ~ spl53_2 ),
inference(rat,[],[s13,s102]) ).
cnf(s124,plain,
spl53_1,
inference(rat,[],[s122,s9]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s1,s9,s124]) ).
fof(f60671,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC090+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:49:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 15.37/2.61 % (1751999)Will run a generic schedule for satisfiability detection.
% 15.37/2.61 % (1752004)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1415395338_2999 on theBenchmark for (2999ds/0Mi)
% 15.37/2.61 % (1752005)% WARNING: option uhcvi not known.
% 15.37/2.61 % (1752007)dis+10_1_sil=32000:sp=arity:random_seed=16177380:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.37/2.61 % (1752005)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3362800116:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.37/2.61 % (1752006)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3315420349:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.37/2.61 % (1752010)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=37063721:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.37/2.61 % (1752008)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3569050298:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.37/2.61 % TRYING [1]
% 15.37/2.61 % (1752009)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1010970151:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.37/2.61 % TRYING [2]
% 15.37/2.61 % TRYING [3]
% 15.37/2.61 % TRYING [4]
% 15.37/2.61 % TRYING [5]
% 15.37/2.61 % (1752007)Instruction limit reached!
% 15.37/2.61 % (1752007)------------------------------
% 15.37/2.61 % (1752007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.61 % (1752007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.61 % (1752007)CaDiCaL version: 2.1.3
% 15.37/2.61 % (1752007)Termination reason: Instruction limit
% 15.37/2.61 % (1752007)Termination phase: Saturation
% 15.37/2.61 % (1752007)Time elapsed: 0.059 s
% 15.37/2.61 % (1752007)Peak memory usage: 13 MB
% 15.37/2.61 % (1752007)Instructions burned: 103 (million)
% 15.37/2.61 % (1752008)Instruction limit reached!
% 15.37/2.61 % (1752008)------------------------------
% 15.37/2.61 % (1752008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.61 % (1752008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.61 % (1752008)CaDiCaL version: 2.1.3
% 15.37/2.61 % (1752008)Termination reason: Instruction limit
% 15.37/2.61 % (1752008)Termination phase: Saturation
% 15.37/2.61 % (1752008)Time elapsed: 0.068 s
% 15.37/2.61 % (1752008)Peak memory usage: 13 MB
% 15.37/2.61 % (1752008)Instructions burned: 117 (million)
% 15.37/2.61 % (1752009)Instruction limit reached!
% 15.37/2.61 % (1752009)------------------------------
% 15.37/2.61 % (1752009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.61 % (1752009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.61 % (1752009)CaDiCaL version: 2.1.3
% 15.37/2.61 % (1752009)Termination reason: Instruction limit
% 15.37/2.61 % (1752009)Termination phase: Saturation
% 15.37/2.61 % (1752009)Time elapsed: 0.078 s
% 15.37/2.61 % (1752009)Peak memory usage: 14 MB
% 15.37/2.61 % (1752009)Instructions burned: 131 (million)
% 15.37/2.61 % (1752018)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=700630433:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.37/2.61 % (1752019)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3073847086:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.37/2.61 % TRYING [1]
% 15.37/2.61 % TRYING [2]
% 15.37/2.61 % (1752020)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=4245524262:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.37/2.61 % TRYING [3]
% 15.37/2.61 % (1752010)Instruction limit reached!
% 15.37/2.61 % (1752010)------------------------------
% 15.37/2.61 % (1752010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.37/2.61 % (1752010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.37/2.61 % (1752010)CaDiCaL version: 2.1.3
% 15.37/2.61 % (1752010)Termination reason: Instruction limit
% 15.37/2.61 % (1752010)Termination phase: Saturation
% 15.37/2.61 % (1752010)Time elapsed: 0.104 s
% 15.37/2.61 % (1752010)Peak memory usage: 15 MB
% 15.37/2.61 % (1752010)Instructions burned: 159 (million)
% 15.37/2.61 % TRYING [6]
% 15.37/2.61 % TRYING [4]
% 15.37/2.61 % (1752024)ott-21_1_sil=16000:fs=off:random_seed=3185455885:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.37/2.61 % (1752019)Instruction limit reached!
% 15.37/2.61 % (1752019)------------------------------
% 15.37/2.61 % (1752019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752019)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752019)Termination reason: Instruction limit
% 17.95/3.25 % (1752019)Termination phase: Saturation
% 17.95/3.25 % (1752019)Time elapsed: 0.071 s
% 17.95/3.25 % (1752019)Peak memory usage: 13 MB
% 17.95/3.25 % (1752019)Instructions burned: 133 (million)
% 17.95/3.25 % TRYING [5]
% 17.95/3.25 % (1752026)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=240930528:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.95/3.25 % (1752024)Instruction limit reached!
% 17.95/3.25 % (1752024)------------------------------
% 17.95/3.25 % (1752024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752024)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752024)Termination reason: Instruction limit
% 17.95/3.25 % (1752024)Termination phase: Saturation
% 17.95/3.25 % (1752024)Time elapsed: 0.088 s
% 17.95/3.25 % (1752024)Peak memory usage: 13 MB
% 17.95/3.25 % (1752024)Instructions burned: 181 (million)
% 17.95/3.25 % (1752028)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1179402997:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.95/3.25 % TRYING [1]
% 17.95/3.25 % TRYING [2]
% 17.95/3.25 % TRYING [3]
% 17.95/3.25 % TRYING [7]
% 17.95/3.25 % TRYING [4]
% 17.95/3.25 % TRYING [6]
% 17.95/3.25 % (1752018)Instruction limit reached!
% 17.95/3.25 % (1752018)------------------------------
% 17.95/3.25 % (1752018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752018)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752018)Termination reason: Instruction limit
% 17.95/3.25 % (1752018)Termination phase: Finite model building constraint generation
% 17.95/3.25 % (1752018)Time elapsed: 0.295 s
% 17.95/3.25 % (1752018)Peak memory usage: 27 MB
% 17.95/3.25 % (1752018)Instructions burned: 715 (million)
% 17.95/3.25 % (1752030)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1996579502:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 17.95/3.25 % TRYING [5]
% 17.95/3.25 % (1752020)Instruction limit reached!
% 17.95/3.25 % (1752020)------------------------------
% 17.95/3.25 % (1752020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752020)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752020)Termination reason: Instruction limit
% 17.95/3.25 % (1752020)Termination phase: Saturation
% 17.95/3.25 % (1752020)Time elapsed: 0.366 s
% 17.95/3.25 % (1752020)Peak memory usage: 21 MB
% 17.95/3.25 % (1752020)Instructions burned: 685 (million)
% 17.95/3.25 % (1752032)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1654180726:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 17.95/3.25 % (1752026)Instruction limit reached!
% 17.95/3.25 % (1752026)------------------------------
% 17.95/3.25 % (1752026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752026)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752026)Termination reason: Instruction limit
% 17.95/3.25 % (1752026)Termination phase: Saturation
% 17.95/3.25 % (1752026)Time elapsed: 0.322 s
% 17.95/3.25 % (1752026)Peak memory usage: 15 MB
% 17.95/3.25 % (1752026)Instructions burned: 478 (million)
% 17.95/3.25 % (1752034)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=1065676391: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)
% 17.95/3.25 % (1752028)Instruction limit reached!
% 17.95/3.25 % (1752028)------------------------------
% 17.95/3.25 % (1752028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752028)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752028)Termination reason: Instruction limit
% 17.95/3.25 % (1752028)Termination phase: Finite model building SAT solving
% 17.95/3.25 % (1752028)Time elapsed: 0.344 s
% 17.95/3.25 % (1752028)Peak memory usage: 23 MB
% 17.95/3.25 % (1752028)Instructions burned: 865 (million)
% 17.95/3.25 % TRYING [14]
% 17.95/3.25 % (1752036)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2041900727:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 17.95/3.25 % TRYING [8]
% 17.95/3.25 % (1752032)Instruction limit reached!
% 17.95/3.25 % (1752032)------------------------------
% 17.95/3.25 % (1752032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752032)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752032)Termination reason: Instruction limit
% 17.95/3.25 % (1752032)Termination phase: Finite model building constraint generation
% 17.95/3.25 % (1752032)Time elapsed: 0.320 s
% 17.95/3.25 % (1752032)Peak memory usage: 70 MB
% 17.95/3.25 % (1752032)Instructions burned: 890 (million)
% 17.95/3.25 % (1752038)fmb+10_1_sil=64000:random_seed=2121733338:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 17.95/3.25 % TRYING [1]
% 17.95/3.25 % TRYING [2]
% 17.95/3.25 % TRYING [3]
% 17.95/3.25 % (1752034)Instruction limit reached!
% 17.95/3.25 % (1752034)------------------------------
% 17.95/3.25 % (1752034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752034)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752034)Termination reason: Instruction limit
% 17.95/3.25 % (1752034)Termination phase: Saturation
% 17.95/3.25 % (1752034)Time elapsed: 0.349 s
% 17.95/3.25 % (1752034)Peak memory usage: 24 MB
% 17.95/3.25 % (1752034)Instructions burned: 693 (million)
% 17.95/3.25 % (1752040)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=814983517:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 17.95/3.25 % TRYING [4]
% 17.95/3.25 % TRYING [20]
% 17.95/3.25 % TRYING [5]
% 17.95/3.25 % (1752030)Instruction limit reached!
% 17.95/3.25 % (1752030)------------------------------
% 17.95/3.25 % (1752030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752030)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752030)Termination reason: Instruction limit
% 17.95/3.25 % (1752030)Termination phase: Saturation
% 17.95/3.25 % (1752030)Time elapsed: 0.636 s
% 17.95/3.25 % (1752030)Peak memory usage: 29 MB
% 17.95/3.25 % (1752030)Instructions burned: 1179 (million)
% 17.95/3.25 % (1752042)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3956455480:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 17.95/3.25 % (1752036)Instruction limit reached!
% 17.95/3.25 % (1752036)------------------------------
% 17.95/3.25 % (1752036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752036)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752036)Termination reason: Instruction limit
% 17.95/3.25 % (1752036)Termination phase: Saturation
% 17.95/3.25 % (1752036)Time elapsed: 0.464 s
% 17.95/3.25 % (1752036)Peak memory usage: 20 MB
% 17.95/3.25 % (1752036)Instructions burned: 879 (million)
% 17.95/3.25 % TRYING [8]
% 17.95/3.25 % (1752044)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=802823522:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 17.95/3.25 % TRYING [6]
% 17.95/3.25 % (1752042)Instruction limit reached!
% 17.95/3.25 % (1752042)------------------------------
% 17.95/3.25 % (1752042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752042)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752042)Termination reason: Instruction limit
% 17.95/3.25 % (1752042)Termination phase: Finite model building constraint generation
% 17.95/3.25 % (1752042)Time elapsed: 0.343 s
% 17.95/3.25 % (1752042)Peak memory usage: 70 MB
% 17.95/3.25 % (1752042)Instructions burned: 922 (million)
% 17.95/3.25 % (1752046)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2582722746:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 17.95/3.25 % TRYING [9]
% 17.95/3.25 % TRYING [7]
% 17.95/3.25 % (1752046)Instruction limit reached!
% 17.95/3.25 % (1752046)------------------------------
% 17.95/3.25 % (1752046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.25 % (1752046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.25 % (1752046)CaDiCaL version: 2.1.3
% 17.95/3.25 % (1752046)Termination reason: Instruction limit
% 17.95/3.25 % (1752046)Termination phase: Saturation
% 17.95/3.25 % (1752046)Time elapsed: 0.687 s
% 17.95/3.25 % (1752046)Peak memory usage: 20 MB
% 17.95/3.25 % (1752046)Instructions burned: 1474 (million)
% 17.95/3.25 % (1752048)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2853059062:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 17.95/3.25 % TRYING [77]
% 17.95/3.25 % (1752044) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1751999-1752044"...
% 17.95/3.25 % (1752044)...printing done.
% 17.95/3.25 % (1752044)Refutation found. Thanks to Tanya!
% 17.95/3.25 % SZS status Theorem for theBenchmark
% 17.95/3.25 % SZS output start Proof for theBenchmark
% See solution above
% 17.95/3.26 % (1752044)------------------------------
% 17.95/3.26 % (1752044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.95/3.26 % (1752044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.26 % (1752044)CaDiCaL version: 2.1.3
% 17.95/3.26 % (1752044)Termination reason: Refutation
% 17.95/3.26 % (1752044)Time elapsed: 1.640 s
% 17.95/3.26 % (1752044)Peak memory usage: 37 MB
% 17.95/3.26 % (1752044)Instructions burned: 3092 (million)
% 17.95/3.26 % (1751999)Success in time 2.819 s
% 17.95/3.26 % Vampire exiting
%------------------------------------------------------------------------------