%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC401+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:03:49 PM UTC 2026
% Result : Theorem 6.66s 1.74s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 22 unt; 4 def)
% Number of atoms : 301 ( 24 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 371 ( 149 ~; 139 |; 58 &)
% ( 8 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 62 !; 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/theBenchmark.p',ax7) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X0,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
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
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X0,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ? [X5] :
( memberP(X0,X5)
& ~ memberP(X1,X5)
& ssItem(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ? [X5] :
( memberP(X0,X5)
& ~ memberP(X1,X5)
& ssItem(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f115,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(f137,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f183,plain,
( sK1 = sK3
& sK0 = sK2
& segmentP(sK3,sK2)
& totalorderedP(sK2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK2,X4)
| ~ segmentP(sK3,X4)
| ~ segmentP(X4,sK2)
| ~ totalorderedP(X4) )
& memberP(sK0,sK4)
& ~ memberP(sK1,sK4)
& ssItem(sK4)
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X5,sK4)],[f99]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f189]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f195]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK9(X0,X1))
& ssList(sK10(X0,X1))
& app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X4,sK9(X0,X1)),skolemize(X5,sK10(X0,X1))],[f196]) ).
fof(f219,plain,
ssList(sK0),
inference(cnf_transformation,[],[f183]) ).
fof(f220,plain,
ssList(sK1),
inference(cnf_transformation,[],[f183]) ).
fof(f223,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f183]) ).
fof(f224,plain,
~ memberP(sK1,sK4),
inference(cnf_transformation,[],[f183]) ).
fof(f225,plain,
memberP(sK0,sK4),
inference(cnf_transformation,[],[f183]) ).
fof(f228,plain,
segmentP(sK3,sK2),
inference(cnf_transformation,[],[f183]) ).
fof(f229,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f183]) ).
fof(f230,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f183]) ).
fof(f243,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f244,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f256,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f257,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ssList(sK10(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f258,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f294,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f348,plain,
memberP(sK2,sK4),
inference(definition_unfolding,[],[f225,f229]) ).
fof(f349,plain,
~ memberP(sK3,sK4),
inference(definition_unfolding,[],[f224,f230]) ).
fof(f350,plain,
ssList(sK3),
inference(definition_unfolding,[],[f220,f230]) ).
fof(f351,plain,
ssList(sK2),
inference(definition_unfolding,[],[f219,f229]) ).
fof(f371,plain,
( sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2))
| ~ ssList(sK2)
| ~ ssList(sK3) ),
inference(resolution,[],[f256,f228]) ).
fof(f372,plain,
( sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2))
| ~ ssList(sK3) ),
inference(forward_subsumption_resolution,[],[f371,f351]) ).
fof(f373,plain,
sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2)),
inference(forward_subsumption_resolution,[],[f372,f350]) ).
fof(f374,plain,
! [X0] :
( memberP(sK3,X0)
| ~ memberP(app(sK9(sK3,sK2),sK2),X0)
| ~ ssList(sK10(sK3,sK2))
| ~ ssList(app(sK9(sK3,sK2),sK2))
| ~ ssItem(X0) ),
inference(superposition,[],[f244,f373]) ).
fof(f377,definition,
( spl30_1
<=> ssList(app(sK9(sK3,sK2),sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f378,plain,
( ~ ssList(app(sK9(sK3,sK2),sK2))
| spl30_1 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f380,definition,
( spl30_2
<=> ssList(sK10(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f381,plain,
( ~ ssList(sK10(sK3,sK2))
| spl30_2 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f387,definition,
( spl30_4
<=> ! [X0] :
( memberP(sK3,X0)
| ~ ssItem(X0)
| ~ memberP(app(sK9(sK3,sK2),sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl30_4])],[avatar_definition]) ).
fof(f388,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK3,X0)
| ~ memberP(app(sK9(sK3,sK2),sK2),X0) )
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( ~ spl30_1
| ~ spl30_2
| spl30_4 ),
inference(avatar_split_clause,[],[f374,f387,f380,f377]) ).
fof(f393,plain,
( ~ ssList(sK2)
| ~ ssList(sK9(sK3,sK2))
| spl30_1 ),
inference(resolution,[],[f294,f378]) ).
fof(f396,plain,
( ~ ssList(sK9(sK3,sK2))
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f393,f351]) ).
fof(f398,plain,
( ~ segmentP(sK3,sK2)
| ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_1 ),
inference(resolution,[],[f396,f258]) ).
fof(f400,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f398,f228]) ).
fof(f401,plain,
( ~ ssList(sK3)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f400,f351]) ).
fof(f402,plain,
( $false
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f401,f350]) ).
fof(f403,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f412,plain,
( ssList(sK10(sK3,sK2))
| ~ ssList(sK2)
| ~ ssList(sK3) ),
inference(resolution,[],[f257,f228]) ).
fof(f414,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f412,f381]) ).
fof(f415,plain,
( ~ ssList(sK3)
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f414,f351]) ).
fof(f416,plain,
( $false
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f415,f350]) ).
fof(f417,plain,
spl30_2,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f420,plain,
( memberP(sK3,sK4)
| ~ memberP(app(sK9(sK3,sK2),sK2),sK4)
| ~ spl30_4 ),
inference(resolution,[],[f388,f223]) ).
fof(f421,plain,
( ~ memberP(app(sK9(sK3,sK2),sK2),sK4)
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f420,f349]) ).
fof(f423,plain,
( ~ memberP(sK2,sK4)
| ~ ssList(sK2)
| ~ ssList(sK9(sK3,sK2))
| ~ ssItem(sK4)
| ~ spl30_4 ),
inference(resolution,[],[f421,f243]) ).
fof(f424,plain,
( ~ ssList(sK2)
| ~ ssList(sK9(sK3,sK2))
| ~ ssItem(sK4)
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f423,f348]) ).
fof(f426,plain,
( ~ ssList(sK9(sK3,sK2))
| ~ ssItem(sK4)
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f424,f351]) ).
fof(f428,plain,
( ~ ssList(sK9(sK3,sK2))
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f426,f223]) ).
fof(f430,definition,
( spl30_5
<=> ssList(sK9(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f431,plain,
( ~ ssList(sK9(sK3,sK2))
| spl30_5 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f436,plain,
( ~ spl30_5
| ~ spl30_4 ),
inference(avatar_split_clause,[],[f428,f387,f430]) ).
fof(f438,plain,
( ~ segmentP(sK3,sK2)
| ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_5 ),
inference(resolution,[],[f431,f258]) ).
fof(f440,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f438,f228]) ).
fof(f441,plain,
( ~ ssList(sK3)
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f440,f351]) ).
fof(f442,plain,
( $false
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f441,f350]) ).
fof(f443,plain,
spl30_5,
inference(avatar_contradiction_clause,[],[f442]) ).
cnf(s2,plain,
( ~ spl30_1
| ~ spl30_2
| spl30_4 ),
inference(sat_conversion,[],[f389]) ).
cnf(s4,plain,
spl30_1,
inference(sat_conversion,[],[f403]) ).
cnf(s6,plain,
spl30_2,
inference(sat_conversion,[],[f417]) ).
cnf(s8,plain,
( ~ spl30_4
| ~ spl30_5 ),
inference(sat_conversion,[],[f436]) ).
cnf(s10,plain,
spl30_5,
inference(sat_conversion,[],[f443]) ).
cnf(s11,plain,
~ spl30_4,
inference(rat,[],[s8,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s11,s6,s4]) ).
fof(f444,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC401+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:30:25 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.66/1.74 % (3837953)Detected formulas, will run a generic FOF schedule.
% 6.66/1.74 % (3837971)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1083490235:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.66/1.74 % (3837971)Instruction limit reached!
% 6.66/1.74 % (3837971)------------------------------
% 6.66/1.74 % (3837971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3837971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3837971)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3837971)Termination reason: Instruction limit
% 6.66/1.74 % (3837971)Termination phase: Saturation
% 6.66/1.74 % (3837971)Time elapsed: 0.033 s
% 6.66/1.74 % (3837971)Peak memory usage: 88 MB
% 6.66/1.74 % (3837971)Instructions burned: 124 (million)
% 6.66/1.74 % (3837972)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1504770846:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.66/1.74 % (3837969)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1571942877:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.66/1.74 % (3837970)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2458491867:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.66/1.74 % (3837973)dis-21_1_sil=8000:lcm=predicate:random_seed=391739314:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.66/1.74 % (3837967)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=77769491:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.66/1.74 % (3837968)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3249462598:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.66/1.74 % (3837970)Instruction limit reached!
% 6.66/1.74 % (3837970)------------------------------
% 6.66/1.74 % (3837970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3837970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3837970)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3837970)Termination reason: Instruction limit
% 6.66/1.74 % (3837970)Termination phase: Saturation
% 6.66/1.74 % (3837970)Time elapsed: 0.067 s
% 6.66/1.74 % (3837970)Peak memory usage: 89 MB
% 6.66/1.74 % (3837970)Instructions burned: 110 (million)
% 6.66/1.74 % (3837990)lrs+10_1_sil=8000:sp=occurrence:random_seed=1495748589:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.66/1.74 % (3837973)Instruction limit reached!
% 6.66/1.74 % (3837973)------------------------------
% 6.66/1.74 % (3837973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3837973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3837973)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3837973)Termination reason: Instruction limit
% 6.66/1.74 % (3837973)Termination phase: Saturation
% 6.66/1.74 % (3837973)Time elapsed: 0.076 s
% 6.66/1.74 % (3837973)Peak memory usage: 90 MB
% 6.66/1.74 % (3837973)Instructions burned: 130 (million)
% 6.66/1.74 % (3837972)Instruction limit reached!
% 6.66/1.74 % (3837972)------------------------------
% 6.66/1.74 % (3837972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3837972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3837972)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3837972)Termination reason: Instruction limit
% 6.66/1.74 % (3837972)Termination phase: Saturation
% 6.66/1.74 % (3837972)Time elapsed: 0.093 s
% 6.66/1.74 % (3837972)Peak memory usage: 90 MB
% 6.66/1.74 % (3837972)Instructions burned: 139 (million)
% 6.66/1.74 % (3837990)Instruction limit reached!
% 6.66/1.74 % (3837990)------------------------------
% 6.66/1.74 % (3837990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3837990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3837990)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3837990)Termination reason: Instruction limit
% 6.66/1.74 % (3837990)Termination phase: Saturation
% 6.66/1.74 % (3837990)Time elapsed: 0.091 s
% 6.66/1.74 % (3837990)Peak memory usage: 93 MB
% 6.66/1.74 % (3837990)Instructions burned: 287 (million)
% 6.66/1.74 % (3838031)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4291084409:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.66/1.74 % (3838037)lrs+1011_1_sil=32000:sp=occurrence:random_seed=152452597:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.66/1.74 % (3838046)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3738479586:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.66/1.74 % (3838072)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3999361093:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.66/1.74 % (3838031)Instruction limit reached!
% 6.66/1.74 % (3838031)------------------------------
% 6.66/1.74 % (3838031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838031)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838031)Termination reason: Instruction limit
% 6.66/1.74 % (3838031)Termination phase: Saturation
% 6.66/1.74 % (3838031)Time elapsed: 0.079 s
% 6.66/1.74 % (3838031)Peak memory usage: 91 MB
% 6.66/1.74 % (3838031)Instructions burned: 157 (million)
% 6.66/1.74 % (3838072)Instruction limit reached!
% 6.66/1.74 % (3838072)------------------------------
% 6.66/1.74 % (3838072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838072)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838072)Termination reason: Instruction limit
% 6.66/1.74 % (3838072)Termination phase: Saturation
% 6.66/1.74 % (3838072)Time elapsed: 0.073 s
% 6.66/1.74 % (3838072)Peak memory usage: 89 MB
% 6.66/1.74 % (3838072)Instructions burned: 296 (million)
% 6.66/1.74 % (3838046)Instruction limit reached!
% 6.66/1.74 % (3838046)------------------------------
% 6.66/1.74 % (3838046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838046)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838046)Termination reason: Instruction limit
% 6.66/1.74 % (3838046)Termination phase: Saturation
% 6.66/1.74 % (3838046)Time elapsed: 0.123 s
% 6.66/1.74 % (3838046)Peak memory usage: 93 MB
% 6.66/1.74 % (3838046)Instructions burned: 248 (million)
% 6.66/1.74 % (3838096)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=480637752:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.66/1.74 % (3838097)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=468394702:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.66/1.74 % (3838037)Instruction limit reached!
% 6.66/1.74 % (3838037)------------------------------
% 6.66/1.74 % (3838037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838037)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838037)Termination reason: Instruction limit
% 6.66/1.74 % (3838037)Termination phase: Saturation
% 6.66/1.74 % (3838037)Time elapsed: 0.214 s
% 6.66/1.74 % (3838037)Peak memory usage: 94 MB
% 6.66/1.74 % (3838037)Instructions burned: 325 (million)
% 6.66/1.74 % (3838097)Instruction limit reached!
% 6.66/1.74 % (3838097)------------------------------
% 6.66/1.74 % (3838097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838097)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838097)Termination reason: Instruction limit
% 6.66/1.74 % (3838097)Termination phase: Saturation
% 6.66/1.74 % (3838097)Time elapsed: 0.041 s
% 6.66/1.74 % (3838097)Peak memory usage: 91 MB
% 6.66/1.74 % (3838097)Instructions burned: 115 (million)
% 6.66/1.74 % (3838099)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3780774462:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 6.66/1.74 % (3838099)Instruction limit reached!
% 6.66/1.74 % (3838099)------------------------------
% 6.66/1.74 % (3838099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838099)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838099)Termination reason: Instruction limit
% 6.66/1.74 % (3838099)Termination phase: Saturation
% 6.66/1.74 % (3838099)Time elapsed: 0.066 s
% 6.66/1.74 % (3838099)Peak memory usage: 90 MB
% 6.66/1.74 % (3838099)Instructions burned: 128 (million)
% 6.66/1.74 % (3838149)lrs+10_1_sil=8000:sp=occurrence:random_seed=2690561330:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 6.66/1.74 % (3838138)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1236169509:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.66/1.74 % (3838138)Instruction limit reached!
% 6.66/1.74 % (3838138)------------------------------
% 6.66/1.74 % (3838138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838138)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838138)Termination reason: Instruction limit
% 6.66/1.74 % (3838138)Termination phase: Saturation
% 6.66/1.74 % (3838138)Time elapsed: 0.071 s
% 6.66/1.74 % (3838138)Peak memory usage: 89 MB
% 6.66/1.74 % (3838138)Instructions burned: 115 (million)
% 6.66/1.74 % (3837968)First to succeed.
% 6.66/1.74 % (3837968)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3837953"
% 6.66/1.74 % (3837967)Also succeeded, but the first one will report.
% 6.66/1.74 % (3838151)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=47312279:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.66/1.74 % (3838154)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=409106120:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.66/1.74 % (3838149)Instruction limit reached!
% 6.66/1.74 % (3838149)------------------------------
% 6.66/1.74 % (3838149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838149)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838149)Termination reason: Instruction limit
% 6.66/1.74 % (3838149)Termination phase: Saturation
% 6.66/1.74 % (3838149)Time elapsed: 0.268 s
% 6.66/1.74 % (3838149)Peak memory usage: 100 MB
% 6.66/1.74 % (3838149)Instructions burned: 909 (million)
% 6.66/1.74 % (3838151)Instruction limit reached!
% 6.66/1.74 % (3838151)------------------------------
% 6.66/1.74 % (3838151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.74 % (3838151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.74 % (3838151)CaDiCaL version: 2.1.3
% 6.66/1.74 % (3838151)Termination reason: Instruction limit
% 6.66/1.74 % (3838151)Termination phase: Saturation
% 6.66/1.74 % (3838151)Time elapsed: 0.161 s
% 6.66/1.74 % (3838151)Peak memory usage: 88 MB
% 6.66/1.74 % (3838151)Instructions burned: 438 (million)
% 6.66/1.74 % (3837968)Refutation found. Thanks to Tanya!
% 6.66/1.74 % SZS status Theorem for theBenchmark
% 6.66/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 7.98/1.93 % (3837968)------------------------------
% 7.98/1.93 % (3837968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/1.93 % (3837968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/1.93 % (3837968)CaDiCaL version: 2.1.3
% 7.98/1.93 % (3837968)Termination reason: Refutation
% 7.98/1.93 % (3837968)Time elapsed: 0.635 s
% 7.98/1.93 % (3837968)Peak memory usage: 130 MB
% 7.98/1.93 % (3837968)Instructions burned: 953 (million)
% 7.98/1.93 % (3837968)------------------------------
% 7.98/1.93 % (3837968)------------------------------
% 7.98/1.93 % (3837953)Success in time 1.029 s
% 7.98/1.93 % Vampire exiting
%------------------------------------------------------------------------------