%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC110+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 : 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 01:04:42 PM UTC 2026
% Result : Theorem 17.12s 2.95s
% Output : Refutation 17.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 91 ( 16 unt; 5 def)
% Number of atoms : 309 ( 75 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 363 ( 145 ~; 144 |; 46 &)
% ( 11 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 49 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ equalelemsP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X2 ) ) ) ) )
| ( nil != X3
& nil = X2 )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(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
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ equalelemsP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X2 ) ) ) ) )
| ( nil != X3
& nil = X2 )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
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(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( app(X2,X4) = X3
& equalelemsP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ segmentP(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
& ? [X4] :
( app(X2,X4) = X3
& equalelemsP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
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(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f394,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f412,plain,
( ~ segmentP(sK48,sK47)
| ~ neq(sK47,nil)
| nil = sK48 ),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
ssList(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
sK50 = app(sK49,sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
( neq(sK48,nil)
| nil != sK47 ),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
( nil != sK49
| nil = sK50 ),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f429,plain,
( neq(sK50,nil)
| nil != sK49 ),
inference(definition_unfolding,[],[f417,f422,f421]) ).
fof(f431,plain,
( ~ segmentP(sK50,sK49)
| ~ neq(sK49,nil)
| nil = sK50 ),
inference(definition_unfolding,[],[f412,f422,f421,f421,f422]) ).
fof(f437,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(f446,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f304]) ).
fof(f461,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f465,definition,
( spl52_1
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl52_1])],[avatar_definition]) ).
fof(f466,plain,
( nil != sK50
| spl52_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f467,plain,
( nil = sK50
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl52_2
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).
fof(f470,plain,
( nil = sK49
| ~ spl52_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( nil != sK49
| spl52_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,plain,
( spl52_1
| ~ spl52_2 ),
inference(avatar_split_clause,[],[f419,f469,f465]) ).
fof(f474,definition,
( spl52_3
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl52_3])],[avatar_definition]) ).
fof(f475,plain,
( ~ neq(sK50,nil)
| spl52_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( neq(sK50,nil)
| ~ spl52_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f500,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f320,f423]) ).
fof(f1044,plain,
( nil != sK50
| ~ ssList(sK51)
| nil = sK49
| ~ ssList(sK49) ),
inference(superposition,[],[f394,f416]) ).
fof(f1047,plain,
( ~ ssList(sK51)
| nil = sK49
| ~ ssList(sK49)
| ~ spl52_1 ),
inference(forward_subsumption_resolution,[],[f1044,f467]) ).
fof(f1048,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ spl52_1 ),
inference(forward_subsumption_resolution,[],[f1047,f414]) ).
fof(f1049,plain,
( ~ ssList(sK49)
| ~ spl52_1
| spl52_2 ),
inference(forward_subsumption_resolution,[],[f1048,f471]) ).
fof(f1050,plain,
( $false
| ~ spl52_1
| spl52_2 ),
inference(forward_subsumption_resolution,[],[f1049,f423]) ).
fof(f1051,plain,
( ~ spl52_1
| spl52_2 ),
inference(avatar_contradiction_clause,[],[f1050]) ).
fof(f1055,plain,
( ~ segmentP(sK50,sK49)
| ~ neq(sK49,nil)
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f431,f466]) ).
fof(f1058,definition,
( spl52_7
<=> neq(sK49,nil) ),
introduced(definition,[new_symbols(definition,[spl52_7])],[avatar_definition]) ).
fof(f1060,plain,
( ~ neq(sK49,nil)
| spl52_7 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1062,definition,
( spl52_8
<=> segmentP(sK50,sK49) ),
introduced(definition,[new_symbols(definition,[spl52_8])],[avatar_definition]) ).
fof(f1064,plain,
( ~ segmentP(sK50,sK49)
| spl52_8 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1065,plain,
( ~ spl52_7
| ~ spl52_8
| spl52_1 ),
inference(avatar_split_clause,[],[f1055,f465,f1062,f1058]) ).
fof(f1066,plain,
( ~ ssList(nil)
| nil = sK49
| ~ ssList(sK49)
| spl52_7 ),
inference(resolution,[],[f1060,f303]) ).
fof(f1069,plain,
( ~ ssList(nil)
| ~ ssList(sK49)
| spl52_2
| spl52_7 ),
inference(forward_subsumption_resolution,[],[f1066,f471]) ).
fof(f1070,plain,
( ~ ssList(nil)
| spl52_2
| spl52_7 ),
inference(forward_subsumption_resolution,[],[f1069,f423]) ).
fof(f1080,plain,
( $false
| spl52_2
| spl52_7 ),
inference(forward_subsumption_resolution,[],[f1070,f306]) ).
fof(f1081,plain,
( spl52_2
| spl52_7 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1086,plain,
( neq(nil,nil)
| ~ spl52_1
| ~ spl52_3 ),
inference(superposition,[],[f476,f467]) ).
fof(f2393,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(sK49,X0)) ),
inference(superposition,[],[f437,f500]) ).
fof(f2412,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(sK49,X0)) ),
inference(forward_subsumption_resolution,[],[f2393,f423]) ).
fof(f2418,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(X0)
| ~ ssList(app(sK49,X0)) ),
inference(forward_subsumption_resolution,[],[f2412,f306]) ).
fof(f3081,plain,
( ~ ssList(nil)
| ~ spl52_1
| ~ spl52_3 ),
inference(resolution,[],[f1086,f461]) ).
fof(f3082,plain,
( $false
| ~ spl52_1
| ~ spl52_3 ),
inference(forward_subsumption_resolution,[],[f3081,f306]) ).
fof(f3083,plain,
( ~ spl52_1
| ~ spl52_3 ),
inference(avatar_contradiction_clause,[],[f3082]) ).
fof(f3084,plain,
( ~ neq(nil,nil)
| ~ spl52_1
| spl52_3 ),
inference(forward_demodulation,[],[f475,f467]) ).
fof(f3085,plain,
( neq(sK50,nil)
| ~ spl52_2 ),
inference(forward_subsumption_resolution,[],[f429,f470]) ).
fof(f3086,plain,
( neq(nil,nil)
| ~ spl52_1
| ~ spl52_2 ),
inference(forward_demodulation,[],[f3085,f467]) ).
fof(f3091,plain,
( $false
| ~ spl52_1
| ~ spl52_2
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f3086,f3084]) ).
fof(f3092,plain,
( ~ spl52_1
| ~ spl52_2
| spl52_3 ),
inference(avatar_contradiction_clause,[],[f3091]) ).
fof(f50271,plain,
( segmentP(sK50,sK49)
| ~ ssList(sK51)
| ~ ssList(sK50) ),
inference(superposition,[],[f2418,f416]) ).
fof(f50324,plain,
( ~ ssList(sK51)
| ~ ssList(sK50)
| spl52_8 ),
inference(forward_subsumption_resolution,[],[f50271,f1064]) ).
fof(f50371,plain,
( ~ ssList(sK50)
| spl52_8 ),
inference(forward_subsumption_resolution,[],[f50324,f414]) ).
fof(f50375,plain,
( $false
| spl52_8 ),
inference(forward_subsumption_resolution,[],[f50371,f420]) ).
fof(f50376,plain,
spl52_8,
inference(avatar_contradiction_clause,[],[f50375]) ).
cnf(s1,plain,
( spl52_1
| ~ spl52_2 ),
inference(sat_conversion,[],[f472]) ).
cnf(s6,plain,
( ~ spl52_1
| spl52_2 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s7,plain,
( spl52_1
| ~ spl52_7
| ~ spl52_8 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s8,plain,
( spl52_2
| spl52_7 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s19,plain,
( ~ spl52_1
| ~ spl52_3 ),
inference(sat_conversion,[],[f3083]) ).
cnf(s20,plain,
( ~ spl52_1
| ~ spl52_2
| spl52_3 ),
inference(sat_conversion,[],[f3092]) ).
cnf(s79,plain,
spl52_8,
inference(sat_conversion,[],[f50376]) ).
cnf(s99,plain,
( spl52_1
| ~ spl52_7 ),
inference(rat,[],[s7,s79]) ).
cnf(s100,plain,
spl52_1,
inference(rat,[],[s8,s1,s99]) ).
cnf(s101,plain,
~ spl52_3,
inference(rat,[],[s19,s100]) ).
cnf(s103,plain,
spl52_2,
inference(rat,[],[s6,s100]) ).
cnf(s104,plain,
$false,
inference(rat,[],[s20,s100,s101,s103]) ).
fof(f50377,plain,
$false,
inference(avatar_sat_refutation,[],[s104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC110+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 07:55:18 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 14.07/2.43 % (1754722)Will run a generic schedule for satisfiability detection.
% 14.07/2.43 % (1754730)dis+10_1_sil=32000:sp=arity:random_seed=1778215311:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.07/2.43 % (1754728)% WARNING: option uhcvi not known.
% 14.07/2.43 % (1754727)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1031071014_2999 on theBenchmark for (2999ds/0Mi)
% 14.07/2.43 % (1754731)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1088190282:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.07/2.43 % (1754729)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3686448074:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.07/2.43 % (1754732)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2644244401:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.07/2.43 % (1754733)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4095188951:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.07/2.43 % (1754728)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=313957888:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.07/2.43 % TRYING [1]
% 14.07/2.43 % TRYING [2]
% 14.07/2.43 % TRYING [3]
% 14.07/2.43 % (1754730)Instruction limit reached!
% 14.07/2.43 % (1754730)------------------------------
% 14.07/2.43 % (1754730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.43 % (1754730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.43 % (1754730)CaDiCaL version: 2.1.3
% 14.07/2.43 % (1754730)Termination reason: Instruction limit
% 14.07/2.43 % (1754730)Termination phase: Saturation
% 14.07/2.43 % (1754730)Time elapsed: 0.034 s
% 14.07/2.43 % (1754730)Peak memory usage: 13 MB
% 14.07/2.43 % (1754730)Instructions burned: 104 (million)
% 14.07/2.43 % TRYING [4]
% 14.07/2.43 % (1754741)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1865512569:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.07/2.43 % TRYING [1]
% 14.07/2.43 % TRYING [2]
% 14.07/2.43 % TRYING [3]
% 14.07/2.43 % (1754731)Instruction limit reached!
% 14.07/2.43 % (1754731)------------------------------
% 14.07/2.43 % (1754731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.43 % (1754731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.43 % (1754731)CaDiCaL version: 2.1.3
% 14.07/2.43 % (1754731)Termination reason: Instruction limit
% 14.07/2.43 % (1754731)Termination phase: Saturation
% 14.07/2.43 % (1754731)Time elapsed: 0.069 s
% 14.07/2.43 % (1754731)Peak memory usage: 13 MB
% 14.07/2.43 % (1754731)Instructions burned: 116 (million)
% 14.07/2.43 % (1754732)Instruction limit reached!
% 14.07/2.43 % (1754732)------------------------------
% 14.07/2.43 % (1754732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.43 % (1754732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.43 % (1754732)CaDiCaL version: 2.1.3
% 14.07/2.43 % (1754732)Termination reason: Instruction limit
% 14.07/2.43 % (1754732)Termination phase: Saturation
% 14.07/2.43 % (1754732)Time elapsed: 0.071 s
% 14.07/2.43 % (1754732)Peak memory usage: 14 MB
% 14.07/2.43 % (1754732)Instructions burned: 131 (million)
% 14.07/2.43 % TRYING [4]
% 14.07/2.43 % (1754743)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2296610850:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.07/2.43 % TRYING [5]
% 14.07/2.43 % (1754744)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=1607771148:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.07/2.43 % (1754733)Instruction limit reached!
% 14.07/2.43 % (1754733)------------------------------
% 14.07/2.43 % (1754733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.07/2.43 % (1754733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.07/2.43 % (1754733)CaDiCaL version: 2.1.3
% 14.07/2.43 % (1754733)Termination reason: Instruction limit
% 14.07/2.43 % (1754733)Termination phase: Saturation
% 14.07/2.43 % (1754733)Time elapsed: 0.102 s
% 14.07/2.43 % (1754733)Peak memory usage: 15 MB
% 14.07/2.43 % (1754733)Instructions burned: 159 (million)
% 14.07/2.43 % TRYING [5]
% 14.07/2.43 % (1754747)ott-21_1_sil=16000:fs=off:random_seed=1587772594:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.07/2.43 % (1754743)Instruction limit reached!
% 14.07/2.43 % (1754743)------------------------------
% 14.07/2.43 % (1754743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.94 % (1754743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.94 % (1754743)CaDiCaL version: 2.1.3
% 17.12/2.94 % (1754743)Termination reason: Instruction limit
% 17.12/2.94 % (1754743)Termination phase: Saturation
% 17.12/2.94 % (1754743)Time elapsed: 0.069 s
% 17.12/2.94 % (1754743)Peak memory usage: 13 MB
% 17.12/2.94 % (1754743)Instructions burned: 131 (million)
% 17.12/2.94 % (1754749)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2062718764:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.12/2.94 % TRYING [6]
% 17.12/2.94 % (1754747)Instruction limit reached!
% 17.12/2.94 % (1754747)------------------------------
% 17.12/2.94 % (1754747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.94 % (1754747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.94 % (1754747)CaDiCaL version: 2.1.3
% 17.12/2.94 % (1754747)Termination reason: Instruction limit
% 17.12/2.94 % (1754747)Termination phase: Saturation
% 17.12/2.94 % (1754747)Time elapsed: 0.087 s
% 17.12/2.94 % (1754747)Peak memory usage: 14 MB
% 17.12/2.94 % (1754747)Instructions burned: 180 (million)
% 17.12/2.94 % TRYING [6]
% 17.12/2.94 % (1754741)Instruction limit reached!
% 17.12/2.94 % (1754741)------------------------------
% 17.12/2.94 % (1754741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.94 % (1754741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.94 % (1754741)CaDiCaL version: 2.1.3
% 17.12/2.94 % (1754741)Termination reason: Instruction limit
% 17.12/2.94 % (1754741)Termination phase: Finite model building constraint generation
% 17.12/2.94 % (1754741)Time elapsed: 0.177 s
% 17.12/2.94 % (1754741)Peak memory usage: 27 MB
% 17.12/2.94 % (1754741)Instructions burned: 717 (million)
% 17.12/2.94 % (1754751)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1788502673:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.12/2.94 % (1754752)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=275276305:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 17.12/2.94 % TRYING [1]
% 17.12/2.94 % TRYING [2]
% 17.12/2.94 % TRYING [3]
% 17.12/2.94 % TRYING [4]
% 17.12/2.94 % TRYING [5]
% 17.12/2.94 % (1754744)Instruction limit reached!
% 17.12/2.94 % (1754744)------------------------------
% 17.12/2.94 % (1754744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754744)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754744)Termination reason: Instruction limit
% 17.12/2.95 % (1754744)Termination phase: Saturation
% 17.12/2.95 % (1754744)Time elapsed: 0.369 s
% 17.12/2.95 % (1754744)Peak memory usage: 23 MB
% 17.12/2.95 % (1754744)Instructions burned: 684 (million)
% 17.12/2.95 % (1754755)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4203448693:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 17.12/2.95 % TRYING [7]
% 17.12/2.95 % (1754749)Instruction limit reached!
% 17.12/2.95 % (1754749)------------------------------
% 17.12/2.95 % (1754749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754749)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754749)Termination reason: Instruction limit
% 17.12/2.95 % (1754749)Termination phase: Saturation
% 17.12/2.95 % (1754749)Time elapsed: 0.331 s
% 17.12/2.95 % (1754749)Peak memory usage: 15 MB
% 17.12/2.95 % (1754749)Instructions burned: 477 (million)
% 17.12/2.95 % (1754757)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=2248141621: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)
% 17.12/2.95 % (1754751)Instruction limit reached!
% 17.12/2.95 % (1754751)------------------------------
% 17.12/2.95 % (1754751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754751)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754751)Termination reason: Instruction limit
% 17.12/2.95 % (1754751)Termination phase: Finite model building SAT solving
% 17.12/2.95 % (1754751)Time elapsed: 0.343 s
% 17.12/2.95 % (1754751)Peak memory usage: 22 MB
% 17.12/2.95 % (1754751)Instructions burned: 867 (million)
% 17.12/2.95 % (1754752)Instruction limit reached!
% 17.12/2.95 % (1754752)------------------------------
% 17.12/2.95 % (1754752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754752)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754752)Termination reason: Instruction limit
% 17.12/2.95 % (1754752)Termination phase: Saturation
% 17.12/2.95 % (1754752)Time elapsed: 0.351 s
% 17.12/2.95 % (1754752)Peak memory usage: 28 MB
% 17.12/2.95 % (1754752)Instructions burned: 1179 (million)
% 17.12/2.95 % TRYING [14]
% 17.12/2.95 % (1754759)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=591379465:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 17.12/2.95 % (1754760)fmb+10_1_sil=64000:random_seed=581923979:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 17.12/2.95 % TRYING [1]
% 17.12/2.95 % TRYING [2]
% 17.12/2.95 % TRYING [3]
% 17.12/2.95 % TRYING [4]
% 17.12/2.95 % TRYING [5]
% 17.12/2.95 % (1754755)Instruction limit reached!
% 17.12/2.95 % (1754755)------------------------------
% 17.12/2.95 % (1754755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754755)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754755)Termination reason: Instruction limit
% 17.12/2.95 % (1754755)Termination phase: Finite model building constraint generation
% 17.12/2.95 % (1754755)Time elapsed: 0.318 s
% 17.12/2.95 % (1754755)Peak memory usage: 70 MB
% 17.12/2.95 % (1754755)Instructions burned: 889 (million)
% 17.12/2.95 % (1754763)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1663499063:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 17.12/2.95 % TRYING [20]
% 17.12/2.95 % TRYING [6]
% 17.12/2.95 % (1754757)Instruction limit reached!
% 17.12/2.95 % (1754757)------------------------------
% 17.12/2.95 % (1754757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754757)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754757)Termination reason: Instruction limit
% 17.12/2.95 % (1754757)Termination phase: Saturation
% 17.12/2.95 % (1754757)Time elapsed: 0.358 s
% 17.12/2.95 % (1754757)Peak memory usage: 24 MB
% 17.12/2.95 % (1754757)Instructions burned: 693 (million)
% 17.12/2.95 % (1754765)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=903583171:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 17.12/2.95 % TRYING [8]
% 17.12/2.95 % (1754759)Instruction limit reached!
% 17.12/2.95 % (1754759)------------------------------
% 17.12/2.95 % (1754759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754759)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754759)Termination reason: Instruction limit
% 17.12/2.95 % (1754759)Termination phase: Saturation
% 17.12/2.95 % (1754759)Time elapsed: 0.449 s
% 17.12/2.95 % (1754759)Peak memory usage: 22 MB
% 17.12/2.95 % (1754759)Instructions burned: 879 (million)
% 17.12/2.95 % (1754767)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2111293400:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 17.12/2.95 % TRYING [8]
% 17.12/2.95 % TRYING [7]
% 17.12/2.95 % (1754765)Instruction limit reached!
% 17.12/2.95 % (1754765)------------------------------
% 17.12/2.95 % (1754765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754765)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754765)Termination reason: Instruction limit
% 17.12/2.95 % (1754765)Termination phase: Finite model building constraint generation
% 17.12/2.95 % (1754765)Time elapsed: 0.347 s
% 17.12/2.95 % (1754765)Peak memory usage: 75 MB
% 17.12/2.95 % (1754765)Instructions burned: 923 (million)
% 17.12/2.95 % (1754769)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2415793213:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 17.12/2.95 % (1754769)Instruction limit reached!
% 17.12/2.95 % (1754769)------------------------------
% 17.12/2.95 % (1754769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754769)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754769)Termination reason: Instruction limit
% 17.12/2.95 % (1754769)Termination phase: Saturation
% 17.12/2.95 % (1754769)Time elapsed: 0.675 s
% 17.12/2.95 % (1754769)Peak memory usage: 26 MB
% 17.12/2.95 % (1754769)Instructions burned: 1472 (million)
% 17.12/2.95 % (1754771)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1344156787:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 17.12/2.95 % TRYING [77]
% 17.12/2.95 % TRYING [8]
% 17.12/2.95 % (1754767) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1754722-1754767"...
% 17.12/2.95 % (1754767)...printing done.
% 17.12/2.95 % (1754767)Refutation found. Thanks to Tanya!
% 17.12/2.95 % SZS status Theorem for theBenchmark
% 17.12/2.95 % SZS output start Proof for theBenchmark
% See solution above
% 17.12/2.95 % (1754767)------------------------------
% 17.12/2.95 % (1754767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.12/2.95 % (1754767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/2.95 % (1754767)CaDiCaL version: 2.1.3
% 17.12/2.95 % (1754767)Termination reason: Refutation
% 17.12/2.95 % (1754767)Time elapsed: 1.387 s
% 17.12/2.95 % (1754767)Peak memory usage: 34 MB
% 17.12/2.95 % (1754767)Instructions burned: 2611 (million)
% 17.12/2.95 % (1754722)Success in time 2.532 s
% 17.12/2.95 % Vampire exiting
%------------------------------------------------------------------------------