%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC400+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 01:03:49 PM UTC 2026
% Result : Theorem 6.49s 1.48s
% Output : Refutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 22 unt; 4 def)
% Number of atoms : 277 ( 24 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 333 ( 135 ~; 126 |; 47 &)
% ( 8 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 60 !; 18 ?)
% 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/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/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/sandbox/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] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) ) ) ) ) ) ),
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
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& totalorderedP(X2)
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& 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] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f102,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(f113,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(f135,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f181,plain,
( sK1 = sK3
& sK0 = sK2
& segmentP(sK3,sK2)
& totalorderedP(sK2)
& 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(X4,sK4)],[f99]) ).
fof(f185,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,[],[f102]) ).
fof(f186,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,[],[f185]) ).
fof(f191,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,[],[f113]) ).
fof(f192,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,[],[f191]) ).
fof(f193,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))],[f192]) ).
fof(f215,plain,
ssList(sK0),
inference(cnf_transformation,[],[f181]) ).
fof(f216,plain,
ssList(sK1),
inference(cnf_transformation,[],[f181]) ).
fof(f219,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f181]) ).
fof(f220,plain,
~ memberP(sK1,sK4),
inference(cnf_transformation,[],[f181]) ).
fof(f221,plain,
memberP(sK0,sK4),
inference(cnf_transformation,[],[f181]) ).
fof(f223,plain,
segmentP(sK3,sK2),
inference(cnf_transformation,[],[f181]) ).
fof(f224,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f181]) ).
fof(f225,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f181]) ).
fof(f234,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f235,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f247,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f248,plain,
! [X0,X1] :
( ssList(sK10(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f249,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f339,plain,
memberP(sK2,sK4),
inference(definition_unfolding,[],[f221,f224]) ).
fof(f340,plain,
~ memberP(sK3,sK4),
inference(definition_unfolding,[],[f220,f225]) ).
fof(f341,plain,
ssList(sK3),
inference(definition_unfolding,[],[f216,f225]) ).
fof(f342,plain,
ssList(sK2),
inference(definition_unfolding,[],[f215,f224]) ).
fof(f360,plain,
! [X0] :
( ~ segmentP(sK3,X0)
| ~ ssList(X0)
| sK3 = app(app(sK9(sK3,X0),X0),sK10(sK3,X0)) ),
inference(resolution,[],[f247,f341]) ).
fof(f362,plain,
( ~ ssList(sK2)
| sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2)) ),
inference(resolution,[],[f360,f223]) ).
fof(f363,plain,
sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2)),
inference(forward_subsumption_resolution,[],[f362,f342]) ).
fof(f376,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,[],[f235,f363]) ).
fof(f379,definition,
( spl30_1
<=> ssList(app(sK9(sK3,sK2),sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f380,plain,
( ~ ssList(app(sK9(sK3,sK2),sK2))
| spl30_1 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,definition,
( spl30_2
<=> ssList(sK10(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f383,plain,
( ~ ssList(sK10(sK3,sK2))
| spl30_2 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f389,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(f390,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sK3,X0)
| ~ memberP(app(sK9(sK3,sK2),sK2),X0) )
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( ~ spl30_1
| ~ spl30_2
| spl30_4 ),
inference(avatar_split_clause,[],[f376,f389,f382,f379]) ).
fof(f392,plain,
( ~ ssList(sK2)
| ~ ssList(sK9(sK3,sK2))
| spl30_1 ),
inference(resolution,[],[f380,f285]) ).
fof(f393,plain,
( ~ ssList(sK9(sK3,sK2))
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f392,f342]) ).
fof(f395,plain,
( ~ segmentP(sK3,sK2)
| ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_1 ),
inference(resolution,[],[f393,f249]) ).
fof(f397,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f395,f223]) ).
fof(f398,plain,
( ~ ssList(sK3)
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f397,f342]) ).
fof(f399,plain,
( $false
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f398,f341]) ).
fof(f400,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f402,plain,
( ~ segmentP(sK3,sK2)
| ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_2 ),
inference(resolution,[],[f383,f248]) ).
fof(f404,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f402,f223]) ).
fof(f405,plain,
( ~ ssList(sK3)
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f404,f342]) ).
fof(f406,plain,
( $false
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f405,f341]) ).
fof(f407,plain,
spl30_2,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f408,plain,
( memberP(sK3,sK4)
| ~ memberP(app(sK9(sK3,sK2),sK2),sK4)
| ~ spl30_4 ),
inference(resolution,[],[f390,f219]) ).
fof(f409,plain,
( ~ memberP(app(sK9(sK3,sK2),sK2),sK4)
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f408,f340]) ).
fof(f411,plain,
( ~ memberP(sK2,sK4)
| ~ ssList(sK2)
| ~ ssList(sK9(sK3,sK2))
| ~ ssItem(sK4)
| ~ spl30_4 ),
inference(resolution,[],[f409,f234]) ).
fof(f412,plain,
( ~ ssList(sK2)
| ~ ssList(sK9(sK3,sK2))
| ~ ssItem(sK4)
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f411,f339]) ).
fof(f414,plain,
( ~ ssList(sK9(sK3,sK2))
| ~ ssItem(sK4)
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f412,f342]) ).
fof(f416,plain,
( ~ ssList(sK9(sK3,sK2))
| ~ spl30_4 ),
inference(forward_subsumption_resolution,[],[f414,f219]) ).
fof(f418,definition,
( spl30_5
<=> ssList(sK9(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f419,plain,
( ~ ssList(sK9(sK3,sK2))
| spl30_5 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f424,plain,
( ~ spl30_5
| ~ spl30_4 ),
inference(avatar_split_clause,[],[f416,f389,f418]) ).
fof(f426,plain,
( ~ segmentP(sK3,sK2)
| ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_5 ),
inference(resolution,[],[f419,f249]) ).
fof(f428,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f426,f223]) ).
fof(f429,plain,
( ~ ssList(sK3)
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f428,f342]) ).
fof(f430,plain,
( $false
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f429,f341]) ).
fof(f431,plain,
spl30_5,
inference(avatar_contradiction_clause,[],[f430]) ).
cnf(s2,plain,
( ~ spl30_1
| ~ spl30_2
| spl30_4 ),
inference(sat_conversion,[],[f391]) ).
cnf(s4,plain,
spl30_1,
inference(sat_conversion,[],[f400]) ).
cnf(s6,plain,
spl30_2,
inference(sat_conversion,[],[f407]) ).
cnf(s8,plain,
( ~ spl30_4
| ~ spl30_5 ),
inference(sat_conversion,[],[f424]) ).
cnf(s10,plain,
spl30_5,
inference(sat_conversion,[],[f431]) ).
cnf(s11,plain,
~ spl30_4,
inference(rat,[],[s8,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s11,s6,s4]) ).
fof(f432,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC400+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n017.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 09:23:51 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.49/1.48 % (3422155)Detected formulas, will run a generic FOF schedule.
% 6.49/1.48 % (3422166)dis-21_1_sil=8000:lcm=predicate:random_seed=2849194060: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)
% 6.49/1.48 % (3422165)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3030630520:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.49/1.48 % (3422164)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2214785825:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.49/1.48 % (3422160)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=1167823664:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.49/1.48 % (3422163)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=851068315:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.49/1.48 % (3422162)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=1668747827:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.49/1.48 % (3422161)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=3173819284:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.49/1.48 % (3422166)Instruction limit reached!
% 6.49/1.48 % (3422166)------------------------------
% 6.49/1.48 % (3422166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422166)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422166)Termination reason: Instruction limit
% 6.49/1.48 % (3422166)Termination phase: Saturation
% 6.49/1.48 % (3422166)Time elapsed: 0.038 s
% 6.49/1.48 % (3422166)Peak memory usage: 91 MB
% 6.49/1.48 % (3422166)Instructions burned: 129 (million)
% 6.49/1.48 % (3422164)Instruction limit reached!
% 6.49/1.48 % (3422164)------------------------------
% 6.49/1.48 % (3422164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422164)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422164)Termination reason: Instruction limit
% 6.49/1.48 % (3422164)Termination phase: Saturation
% 6.49/1.48 % (3422164)Time elapsed: 0.051 s
% 6.49/1.48 % (3422164)Peak memory usage: 88 MB
% 6.49/1.48 % (3422164)Instructions burned: 119 (million)
% 6.49/1.48 % (3422163)Instruction limit reached!
% 6.49/1.48 % (3422163)------------------------------
% 6.49/1.48 % (3422163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422163)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422163)Termination reason: Instruction limit
% 6.49/1.48 % (3422163)Termination phase: Saturation
% 6.49/1.48 % (3422163)Time elapsed: 0.066 s
% 6.49/1.48 % (3422163)Peak memory usage: 89 MB
% 6.49/1.48 % (3422163)Instructions burned: 109 (million)
% 6.49/1.48 % (3422165)Instruction limit reached!
% 6.49/1.48 % (3422165)------------------------------
% 6.49/1.48 % (3422165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422165)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422165)Termination reason: Instruction limit
% 6.49/1.48 % (3422165)Termination phase: Saturation
% 6.49/1.48 % (3422165)Time elapsed: 0.083 s
% 6.49/1.48 % (3422165)Peak memory usage: 89 MB
% 6.49/1.48 % (3422165)Instructions burned: 139 (million)
% 6.49/1.48 % (3422174)lrs+10_1_sil=8000:sp=occurrence:random_seed=929281805:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.49/1.48 % (3422175)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3778567306:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.49/1.48 % (3422176)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2875295636:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.49/1.48 % (3422177)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=884760791:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.49/1.48 % (3422174)Instruction limit reached!
% 6.49/1.48 % (3422174)------------------------------
% 6.49/1.48 % (3422174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422174)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422174)Termination reason: Instruction limit
% 6.49/1.48 % (3422174)Termination phase: Saturation
% 6.49/1.48 % (3422174)Time elapsed: 0.089 s
% 6.49/1.48 % (3422174)Peak memory usage: 93 MB
% 6.49/1.48 % (3422174)Instructions burned: 286 (million)
% 6.49/1.48 % (3422175)Instruction limit reached!
% 6.49/1.48 % (3422175)------------------------------
% 6.49/1.48 % (3422175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422175)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422175)Termination reason: Instruction limit
% 6.49/1.48 % (3422175)Termination phase: Saturation
% 6.49/1.48 % (3422175)Time elapsed: 0.078 s
% 6.49/1.48 % (3422175)Peak memory usage: 91 MB
% 6.49/1.48 % (3422175)Instructions burned: 157 (million)
% 6.49/1.48 % (3422182)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=368949941:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.49/1.48 % (3422177)Instruction limit reached!
% 6.49/1.48 % (3422177)------------------------------
% 6.49/1.48 % (3422177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422177)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422177)Termination reason: Instruction limit
% 6.49/1.48 % (3422177)Termination phase: Saturation
% 6.49/1.48 % (3422177)Time elapsed: 0.122 s
% 6.49/1.48 % (3422177)Peak memory usage: 93 MB
% 6.49/1.48 % (3422177)Instructions burned: 250 (million)
% 6.49/1.48 % (3422182)Instruction limit reached!
% 6.49/1.48 % (3422182)------------------------------
% 6.49/1.48 % (3422182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422182)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422182)Termination reason: Instruction limit
% 6.49/1.48 % (3422182)Termination phase: Saturation
% 6.49/1.48 % (3422182)Time elapsed: 0.073 s
% 6.49/1.48 % (3422182)Peak memory usage: 89 MB
% 6.49/1.48 % (3422182)Instructions burned: 297 (million)
% 6.49/1.48 % (3422183)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3379906019:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.49/1.48 % (3422176)Instruction limit reached!
% 6.49/1.48 % (3422176)------------------------------
% 6.49/1.48 % (3422176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422176)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422176)Termination reason: Instruction limit
% 6.49/1.48 % (3422176)Termination phase: Saturation
% 6.49/1.48 % (3422176)Time elapsed: 0.213 s
% 6.49/1.48 % (3422176)Peak memory usage: 95 MB
% 6.49/1.48 % (3422176)Instructions burned: 326 (million)
% 6.49/1.48 % (3422185)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1087761710:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.49/1.48 % (3422186)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1044693186:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.49/1.48 % (3422186)Instruction limit reached!
% 6.49/1.48 % (3422186)------------------------------
% 6.49/1.48 % (3422186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422186)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422186)Termination reason: Instruction limit
% 6.49/1.48 % (3422186)Termination phase: Saturation
% 6.49/1.48 % (3422186)Time elapsed: 0.035 s
% 6.49/1.48 % (3422186)Peak memory usage: 90 MB
% 6.49/1.48 % (3422186)Instructions burned: 131 (million)
% 6.49/1.48 % (3422185)Instruction limit reached!
% 6.49/1.48 % (3422185)------------------------------
% 6.49/1.48 % (3422185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422185)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422185)Termination reason: Instruction limit
% 6.49/1.48 % (3422185)Termination phase: Saturation
% 6.49/1.48 % (3422185)Time elapsed: 0.078 s
% 6.49/1.48 % (3422185)Peak memory usage: 91 MB
% 6.49/1.48 % (3422185)Instructions burned: 114 (million)
% 6.49/1.48 % (3422188)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2348877986:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.49/1.48 % (3422191)lrs+10_1_sil=8000:sp=occurrence:random_seed=757784284:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.49/1.48 % (3422188)Instruction limit reached!
% 6.49/1.48 % (3422188)------------------------------
% 6.49/1.48 % (3422188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422188)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422188)Termination reason: Instruction limit
% 6.49/1.48 % (3422188)Termination phase: Saturation
% 6.49/1.48 % (3422188)Time elapsed: 0.072 s
% 6.49/1.48 % (3422188)Peak memory usage: 89 MB
% 6.49/1.48 % (3422188)Instructions burned: 114 (million)
% 6.49/1.48 % (3422161)First to succeed.
% 6.49/1.48 % (3422161)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3422155"
% 6.49/1.48 % (3422160)Also succeeded, but the first one will report.
% 6.49/1.48 % (3422192)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1966219017:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.49/1.48 % (3422195)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2114899813:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.49/1.48 % (3422192)Instruction limit reached!
% 6.49/1.48 % (3422192)------------------------------
% 6.49/1.48 % (3422192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422192)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422192)Termination reason: Instruction limit
% 6.49/1.48 % (3422192)Termination phase: Saturation
% 6.49/1.48 % (3422192)Time elapsed: 0.154 s
% 6.49/1.48 % (3422192)Peak memory usage: 88 MB
% 6.49/1.48 % (3422192)Instructions burned: 440 (million)
% 6.49/1.48 % (3422191)Instruction limit reached!
% 6.49/1.48 % (3422191)------------------------------
% 6.49/1.48 % (3422191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.48 % (3422191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.48 % (3422191)CaDiCaL version: 2.1.3
% 6.49/1.48 % (3422191)Termination reason: Instruction limit
% 6.49/1.48 % (3422191)Termination phase: Saturation
% 6.49/1.48 % (3422191)Time elapsed: 0.267 s
% 6.49/1.48 % (3422191)Peak memory usage: 100 MB
% 6.49/1.48 % (3422191)Instructions burned: 911 (million)
% 6.49/1.48 % (3422161)Refutation found. Thanks to Tanya!
% 6.49/1.48 % SZS status Theorem for theBenchmark
% 6.49/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 7.56/1.57 % (3422161)------------------------------
% 7.56/1.57 % (3422161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/1.57 % (3422161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.57 % (3422161)CaDiCaL version: 2.1.3
% 7.56/1.57 % (3422161)Termination reason: Refutation
% 7.56/1.57 % (3422161)Time elapsed: 0.637 s
% 7.56/1.57 % (3422161)Peak memory usage: 129 MB
% 7.56/1.57 % (3422161)Instructions burned: 956 (million)
% 7.56/1.57 % (3422161)------------------------------
% 7.56/1.57 % (3422161)------------------------------
% 7.56/1.57 % (3422155)Success in time 1.036 s
% 7.56/1.57 % Vampire exiting
%------------------------------------------------------------------------------