%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC394+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 : n016.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 01:03:47 PM UTC 2026
% Result : Theorem 5.76s 1.70s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 89 ( 17 unt; 6 def)
% Number of atoms : 317 ( 40 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 377 ( 149 ~; 149 |; 52 &)
% ( 10 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 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/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
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) )
| ( ( nil != X3
| nil != X2 )
& ( ~ neq(X2,nil)
| ~ segmentP(X3,X2) ) ) ) ) ) ) ),
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] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) )
| ( ( nil != X3
| nil != X2 )
& ( ~ neq(X2,nil)
| ~ segmentP(X3,X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& ( ( nil = X3
& nil = X2 )
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& 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(f133,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
( sK1 = sK3
& sK0 = sK2
& memberP(sK0,sK4)
& ~ memberP(sK1,sK4)
& ssItem(sK4)
& ( ( nil = sK3
& nil = sK2 )
| ( neq(sK2,nil)
& segmentP(sK3,sK2) ) )
& 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(f140,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(f141,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,[],[f140]) ).
fof(f146,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(f147,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,[],[f146]) ).
fof(f148,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))],[f147]) ).
fof(f152,plain,
ssList(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f153,plain,
ssList(sK1),
inference(cnf_transformation,[],[f134]) ).
fof(f156,plain,
( nil = sK2
| segmentP(sK3,sK2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f158,plain,
( nil = sK3
| segmentP(sK3,sK2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f160,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f134]) ).
fof(f161,plain,
~ memberP(sK1,sK4),
inference(cnf_transformation,[],[f134]) ).
fof(f162,plain,
memberP(sK0,sK4),
inference(cnf_transformation,[],[f134]) ).
fof(f163,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f134]) ).
fof(f164,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f134]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f191,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f192,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ssList(sK10(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f193,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ssList(sK9(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f213,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f214,plain,
memberP(sK2,sK4),
inference(definition_unfolding,[],[f162,f163]) ).
fof(f215,plain,
~ memberP(sK3,sK4),
inference(definition_unfolding,[],[f161,f164]) ).
fof(f216,plain,
ssList(sK3),
inference(definition_unfolding,[],[f153,f164]) ).
fof(f217,plain,
ssList(sK2),
inference(definition_unfolding,[],[f152,f163]) ).
fof(f231,definition,
( spl13_1
<=> segmentP(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f232,plain,
( segmentP(sK3,sK2)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,definition,
( spl13_2
<=> nil = sK2 ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f235,plain,
( nil = sK2
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f156,f234,f231]) ).
fof(f238,definition,
( spl13_3
<=> nil = sK3 ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f239,plain,
( nil = sK3
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[],[f158,f238,f231]) ).
fof(f245,plain,
( ~ memberP(nil,sK4)
| ~ spl13_3 ),
inference(superposition,[],[f215,f239]) ).
fof(f246,plain,
( memberP(nil,sK4)
| ~ spl13_2 ),
inference(superposition,[],[f214,f235]) ).
fof(f247,plain,
( $false
| ~ spl13_2
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f246,f245]) ).
fof(f248,plain,
( ~ spl13_2
| ~ spl13_3 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f262,plain,
! [X0,X1] :
( memberP(app(X0,X1),sK4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,sK4) ),
inference(resolution,[],[f179,f160]) ).
fof(f267,plain,
! [X0,X1] :
( memberP(app(X1,X0),sK4)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(X0,sK4) ),
inference(resolution,[],[f178,f160]) ).
fof(f269,plain,
( sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2))
| ~ ssList(sK2)
| ~ ssList(sK3)
| ~ spl13_1 ),
inference(resolution,[],[f191,f232]) ).
fof(f270,plain,
( sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2))
| ~ ssList(sK3)
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f269,f217]) ).
fof(f271,plain,
( sK3 = app(app(sK9(sK3,sK2),sK2),sK10(sK3,sK2))
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f270,f216]) ).
fof(f273,plain,
( memberP(sK3,sK4)
| ~ ssList(sK10(sK3,sK2))
| ~ ssList(app(sK9(sK3,sK2),sK2))
| ~ memberP(app(sK9(sK3,sK2),sK2),sK4)
| ~ spl13_1 ),
inference(superposition,[],[f262,f271]) ).
fof(f274,plain,
( ~ ssList(sK10(sK3,sK2))
| ~ ssList(app(sK9(sK3,sK2),sK2))
| ~ memberP(app(sK9(sK3,sK2),sK2),sK4)
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f273,f215]) ).
fof(f277,definition,
( spl13_5
<=> memberP(app(sK9(sK3,sK2),sK2),sK4) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f278,plain,
( ~ memberP(app(sK9(sK3,sK2),sK2),sK4)
| spl13_5 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,definition,
( spl13_6
<=> ssList(app(sK9(sK3,sK2),sK2)) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f281,plain,
( ~ ssList(app(sK9(sK3,sK2),sK2))
| spl13_6 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,definition,
( spl13_7
<=> ssList(sK10(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f284,plain,
( ~ ssList(sK10(sK3,sK2))
| spl13_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( ~ spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f274,f231,f283,f280,f277]) ).
fof(f290,plain,
( ssList(sK9(sK3,sK2))
| ~ ssList(sK2)
| ~ ssList(sK3)
| ~ spl13_1 ),
inference(resolution,[],[f193,f232]) ).
fof(f291,plain,
( ssList(sK9(sK3,sK2))
| ~ ssList(sK3)
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f290,f217]) ).
fof(f292,plain,
( ssList(sK9(sK3,sK2))
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f291,f216]) ).
fof(f331,plain,
( $false
| ~ spl13_1
| spl13_6 ),
inference(unit_resulting_resolution,[],[f213,f217,f292,f281]) ).
fof(f336,plain,
( ~ spl13_1
| spl13_6 ),
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f339,plain,
( ssList(sK10(sK3,sK2))
| ~ ssList(sK2)
| ~ ssList(sK3)
| ~ spl13_1 ),
inference(resolution,[],[f192,f232]) ).
fof(f341,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| ~ spl13_1
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f339,f284]) ).
fof(f342,plain,
( ~ ssList(sK3)
| ~ spl13_1
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f341,f217]) ).
fof(f343,plain,
( $false
| ~ spl13_1
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f342,f216]) ).
fof(f344,plain,
( ~ spl13_1
| spl13_7 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f349,plain,
( ~ ssList(sK2)
| ~ ssList(sK9(sK3,sK2))
| ~ memberP(sK2,sK4)
| spl13_5 ),
inference(resolution,[],[f278,f267]) ).
fof(f353,plain,
( ~ ssList(sK9(sK3,sK2))
| ~ memberP(sK2,sK4)
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f349,f217]) ).
fof(f354,plain,
( ~ memberP(sK2,sK4)
| ~ spl13_1
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f353,f292]) ).
fof(f355,plain,
( $false
| ~ spl13_1
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f354,f214]) ).
fof(f356,plain,
( ~ spl13_1
| spl13_5 ),
inference(avatar_contradiction_clause,[],[f355]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f236]) ).
cnf(s2,plain,
( spl13_1
| spl13_3 ),
inference(sat_conversion,[],[f240]) ).
cnf(s4,plain,
( ~ spl13_2
| ~ spl13_3 ),
inference(sat_conversion,[],[f248]) ).
cnf(s6,plain,
( ~ spl13_1
| ~ spl13_5
| ~ spl13_6
| ~ spl13_7 ),
inference(sat_conversion,[],[f285]) ).
cnf(s10,plain,
( ~ spl13_1
| spl13_6 ),
inference(sat_conversion,[],[f336]) ).
cnf(s12,plain,
( ~ spl13_1
| spl13_7 ),
inference(sat_conversion,[],[f344]) ).
cnf(s15,plain,
( ~ spl13_1
| spl13_5 ),
inference(sat_conversion,[],[f356]) ).
cnf(s16,plain,
spl13_1,
inference(rat,[],[s4,s1,s2]) ).
cnf(s17,plain,
spl13_5,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
spl13_7,
inference(rat,[],[s12,s16]) ).
cnf(s19,plain,
spl13_6,
inference(rat,[],[s10,s16]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s6,s18,s17,s19,s16]) ).
fof(f357,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC394+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n016.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 09:32:03 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 Running first-order theorem proving
% 0.11/0.20 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
% 5.76/1.70 % (3507358)Detected formulas, will run a generic FOF schedule.
% 5.76/1.70 % (3507367)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1192670386:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.76/1.70 % (3507367)Instruction limit reached!
% 5.76/1.70 % (3507367)------------------------------
% 5.76/1.70 % (3507367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507367)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507367)Termination reason: Instruction limit
% 5.76/1.70 % (3507367)Termination phase: Saturation
% 5.76/1.70 % (3507367)Time elapsed: 0.030 s
% 5.76/1.70 % (3507367)Peak memory usage: 88 MB
% 5.76/1.70 % (3507367)Instructions burned: 124 (million)
% 5.76/1.70 % (3507368)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=716265693:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.76/1.70 % (3507365)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=444462582:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.76/1.70 % (3507363)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=1341047985:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.76/1.70 % (3507366)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2341590502:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.76/1.70 % (3507364)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=3477111423:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.76/1.70 % (3507369)dis-21_1_sil=8000:lcm=predicate:random_seed=2100741408: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)
% 5.76/1.70 % (3507366)Instruction limit reached!
% 5.76/1.70 % (3507366)------------------------------
% 5.76/1.70 % (3507366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507366)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507366)Termination reason: Instruction limit
% 5.76/1.70 % (3507366)Termination phase: Saturation
% 5.76/1.70 % (3507366)Time elapsed: 0.068 s
% 5.76/1.70 % (3507366)Peak memory usage: 89 MB
% 5.76/1.70 % (3507366)Instructions burned: 110 (million)
% 5.76/1.70 % (3507371)lrs+10_1_sil=8000:sp=occurrence:random_seed=3363247047:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.76/1.70 % (3507369)Instruction limit reached!
% 5.76/1.70 % (3507369)------------------------------
% 5.76/1.70 % (3507369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507369)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507369)Termination reason: Instruction limit
% 5.76/1.70 % (3507369)Termination phase: Saturation
% 5.76/1.70 % (3507369)Time elapsed: 0.076 s
% 5.76/1.70 % (3507369)Peak memory usage: 90 MB
% 5.76/1.70 % (3507369)Instructions burned: 130 (million)
% 5.76/1.70 % (3507368)Instruction limit reached!
% 5.76/1.70 % (3507368)------------------------------
% 5.76/1.70 % (3507368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507368)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507368)Termination reason: Instruction limit
% 5.76/1.70 % (3507368)Termination phase: Saturation
% 5.76/1.70 % (3507368)Time elapsed: 0.086 s
% 5.76/1.70 % (3507368)Peak memory usage: 89 MB
% 5.76/1.70 % (3507368)Instructions burned: 141 (million)
% 5.76/1.70 % (3507371)Instruction limit reached!
% 5.76/1.70 % (3507371)------------------------------
% 5.76/1.70 % (3507371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507371)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507371)Termination reason: Instruction limit
% 5.76/1.70 % (3507371)Termination phase: Saturation
% 5.76/1.70 % (3507371)Time elapsed: 0.098 s
% 5.76/1.70 % (3507371)Peak memory usage: 93 MB
% 5.76/1.70 % (3507371)Instructions burned: 289 (million)
% 5.76/1.70 % (3507378)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3828950726:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.76/1.70 % (3507380)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3751435450:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.76/1.70 % (3507381)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=2951559474:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.76/1.70 % (3507382)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4252590052:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.76/1.70 % (3507378)Instruction limit reached!
% 5.76/1.70 % (3507378)------------------------------
% 5.76/1.70 % (3507378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507378)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507378)Termination reason: Instruction limit
% 5.76/1.70 % (3507378)Termination phase: Saturation
% 5.76/1.70 % (3507378)Time elapsed: 0.075 s
% 5.76/1.70 % (3507378)Peak memory usage: 92 MB
% 5.76/1.70 % (3507378)Instructions burned: 157 (million)
% 5.76/1.70 % (3507382)Instruction limit reached!
% 5.76/1.70 % (3507382)------------------------------
% 5.76/1.70 % (3507382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507382)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507382)Termination reason: Instruction limit
% 5.76/1.70 % (3507382)Termination phase: Saturation
% 5.76/1.70 % (3507382)Time elapsed: 0.072 s
% 5.76/1.70 % (3507382)Peak memory usage: 88 MB
% 5.76/1.70 % (3507382)Instructions burned: 295 (million)
% 5.76/1.70 % (3507381)Instruction limit reached!
% 5.76/1.70 % (3507381)------------------------------
% 5.76/1.70 % (3507381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507381)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507381)Termination reason: Instruction limit
% 5.76/1.70 % (3507381)Termination phase: Saturation
% 5.76/1.70 % (3507381)Time elapsed: 0.127 s
% 5.76/1.70 % (3507381)Peak memory usage: 93 MB
% 5.76/1.70 % (3507381)Instructions burned: 250 (million)
% 5.76/1.70 % (3507387)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=615961571:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.76/1.70 % (3507388)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2887253997:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.76/1.70 % (3507380)Instruction limit reached!
% 5.76/1.70 % (3507380)------------------------------
% 5.76/1.70 % (3507380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507380)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507380)Termination reason: Instruction limit
% 5.76/1.70 % (3507380)Termination phase: Saturation
% 5.76/1.70 % (3507380)Time elapsed: 0.222 s
% 5.76/1.70 % (3507380)Peak memory usage: 93 MB
% 5.76/1.70 % (3507380)Instructions burned: 326 (million)
% 5.76/1.70 % (3507388)Instruction limit reached!
% 5.76/1.70 % (3507388)------------------------------
% 5.76/1.70 % (3507388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507388)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507388)Termination reason: Instruction limit
% 5.76/1.70 % (3507388)Termination phase: Saturation
% 5.76/1.70 % (3507388)Time elapsed: 0.043 s
% 5.76/1.70 % (3507388)Peak memory usage: 90 MB
% 5.76/1.70 % (3507388)Instructions burned: 116 (million)
% 5.76/1.70 % (3507389)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3373362650:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 5.76/1.70 % (3507389)Instruction limit reached!
% 5.76/1.70 % (3507389)------------------------------
% 5.76/1.70 % (3507389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507389)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507389)Termination reason: Instruction limit
% 5.76/1.70 % (3507389)Termination phase: Saturation
% 5.76/1.70 % (3507389)Time elapsed: 0.066 s
% 5.76/1.70 % (3507389)Peak memory usage: 90 MB
% 5.76/1.70 % (3507389)Instructions burned: 127 (million)
% 5.76/1.70 % (3507393)lrs+10_1_sil=8000:sp=occurrence:random_seed=1278011183:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.76/1.70 % (3507392)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2111553936:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.76/1.70 % (3507364)First to succeed.
% 5.76/1.70 % (3507364)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3507358"
% 5.76/1.70 % (3507392)Instruction limit reached!
% 5.76/1.70 % (3507392)------------------------------
% 5.76/1.70 % (3507392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507392)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507392)Termination reason: Instruction limit
% 5.76/1.70 % (3507392)Termination phase: Saturation
% 5.76/1.70 % (3507392)Time elapsed: 0.071 s
% 5.76/1.70 % (3507392)Peak memory usage: 89 MB
% 5.76/1.70 % (3507392)Instructions burned: 114 (million)
% 5.76/1.70 % (3507363)Also succeeded, but the first one will report.
% 5.76/1.70 % (3507396)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2595143086:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 5.76/1.70 % (3507393)Also succeeded, but the first one will report.
% 5.76/1.70 % (3507398)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=924296341:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.76/1.70 % (3507396)Instruction limit reached!
% 5.76/1.70 % (3507396)------------------------------
% 5.76/1.70 % (3507396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.70 % (3507396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.70 % (3507396)CaDiCaL version: 2.1.3
% 5.76/1.70 % (3507396)Termination reason: Instruction limit
% 5.76/1.70 % (3507396)Termination phase: Saturation
% 5.76/1.70 % (3507396)Time elapsed: 0.158 s
% 5.76/1.70 % (3507396)Peak memory usage: 89 MB
% 5.76/1.70 % (3507396)Instructions burned: 438 (million)
% 5.76/1.70 % (3507364)Refutation found. Thanks to Tanya!
% 5.76/1.70 % SZS status Theorem for theBenchmark
% 5.76/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 5.76/1.79 % (3507364)------------------------------
% 5.76/1.79 % (3507364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (3507364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (3507364)CaDiCaL version: 2.1.3
% 5.76/1.79 % (3507364)Termination reason: Refutation
% 5.76/1.79 % (3507364)Time elapsed: 0.639 s
% 5.76/1.79 % (3507364)Peak memory usage: 129 MB
% 5.76/1.79 % (3507364)Instructions burned: 939 (million)
% 5.76/1.79 % (3507364)------------------------------
% 5.76/1.79 % (3507364)------------------------------
% 5.76/1.79 % (3507358)Success in time 1.055 s
% 5.76/1.79 % Vampire exiting
%------------------------------------------------------------------------------