%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU179+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:47:36 PM UTC 2026
% Result : Theorem 4.16s 1.51s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 59 ( 9 unt; 2 def)
% Number of atoms : 213 ( 20 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 248 ( 94 ~; 98 |; 35 &)
% ( 12 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 96 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f22,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f98,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f99,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f150,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_dom(X0),relation_dom(X1))
| ~ subset(relation_rng(X0),relation_rng(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f151,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_dom(X0),relation_dom(X1))
| ~ subset(relation_rng(X0),relation_rng(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f150]) ).
fof(f154,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f161,plain,
( ( ~ subset(relation_dom(sK0),relation_dom(sK1))
| ~ subset(relation_rng(sK0),relation_rng(sK1)) )
& subset(sK0,sK1)
& relation(sK1)
& relation(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f151]) ).
fof(f162,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f154]) ).
fof(f163,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f162]) ).
fof(f164,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f163]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f158]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f169]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f159]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f171]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK7(X0,X1),X3),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK9(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f172]) ).
fof(f177,plain,
relation(sK0),
inference(cnf_transformation,[],[f161]) ).
fof(f178,plain,
relation(sK1),
inference(cnf_transformation,[],[f161]) ).
fof(f179,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f161]) ).
fof(f180,plain,
( ~ subset(relation_dom(sK0),relation_dom(sK1))
| ~ subset(relation_rng(sK0),relation_rng(sK1)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f183,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f184,plain,
! [X0,X1] :
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f185,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f193,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f194,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f197,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK9(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f198,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f206,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f194]) ).
fof(f207,plain,
! [X0,X5] :
( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f193]) ).
fof(f208,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f198]) ).
fof(f209,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK9(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f197]) ).
fof(f211,definition,
( spl13_1
<=> subset(relation_rng(sK0),relation_rng(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f213,plain,
( ~ subset(relation_rng(sK0),relation_rng(sK1))
| spl13_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f215,definition,
( spl13_2
<=> subset(relation_dom(sK0),relation_dom(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f217,plain,
( ~ subset(relation_dom(sK0),relation_dom(sK1))
| spl13_2 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f180,f215,f211]) ).
fof(f219,plain,
( in(sK2(relation_rng(sK0),relation_rng(sK1)),relation_rng(sK0))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f184,f213]) ).
fof(f220,plain,
( ~ in(sK2(relation_rng(sK0),relation_rng(sK1)),relation_rng(sK1))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f185,f213]) ).
fof(f240,plain,
( ! [X0] : ~ in(ordered_pair(X0,sK2(relation_rng(sK0),relation_rng(sK1))),sK1)
| spl13_1 ),
inference(unit_resulting_resolution,[],[f206,f178,f220]) ).
fof(f241,plain,
( ! [X0] : ~ in(ordered_pair(X0,sK2(relation_rng(sK0),relation_rng(sK1))),sK0)
| spl13_1 ),
inference(unit_resulting_resolution,[],[f183,f179,f240]) ).
fof(f249,plain,
( ~ relation(sK0)
| spl13_1 ),
inference(unit_resulting_resolution,[],[f207,f219,f241]) ).
fof(f256,plain,
( $false
| spl13_1 ),
inference(forward_subsumption_resolution,[],[f249,f177]) ).
fof(f257,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f262,plain,
( ~ in(sK2(relation_dom(sK0),relation_dom(sK1)),relation_dom(sK1))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f185,f217]) ).
fof(f263,plain,
( in(sK2(relation_dom(sK0),relation_dom(sK1)),relation_dom(sK0))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f184,f217]) ).
fof(f264,plain,
( ! [X0] : ~ in(ordered_pair(sK2(relation_dom(sK0),relation_dom(sK1)),X0),sK1)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f208,f178,f262]) ).
fof(f271,plain,
( ! [X0] : ~ in(ordered_pair(sK2(relation_dom(sK0),relation_dom(sK1)),X0),sK0)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f183,f179,f264]) ).
fof(f273,plain,
( ~ relation(sK0)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f209,f263,f271]) ).
fof(f279,plain,
( $false
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f273,f177]) ).
fof(f280,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f279]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f218]) ).
cnf(s5,plain,
spl13_1,
inference(sat_conversion,[],[f257]) ).
cnf(s8,plain,
spl13_2,
inference(sat_conversion,[],[f280]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s5]) ).
fof(f281,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU179+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:54:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.16/1.51 % (2646009)Detected formulas, will run a generic FOF schedule.
% 4.16/1.51 % (2646014)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=3099440522:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.16/1.51 % (2646019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2019232296:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.16/1.51 % (2646020)dis-21_1_sil=8000:lcm=predicate:random_seed=1509996817: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)
% 4.16/1.51 % (2646016)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=1229797879:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.16/1.51 % (2646018)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2478623679:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.16/1.51 % (2646015)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=1449108858:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.16/1.51 % (2646017)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4000442619:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.16/1.51 % (2646017)Instruction limit reached!
% 4.16/1.51 % (2646017)------------------------------
% 4.16/1.51 % (2646017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.51 % (2646017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.51 % (2646017)CaDiCaL version: 2.1.3
% 4.16/1.51 % (2646017)Termination reason: Instruction limit
% 4.16/1.51 % (2646017)Termination phase: Saturation
% 4.16/1.51 % (2646017)Time elapsed: 0.073 s
% 4.16/1.51 % (2646017)Peak memory usage: 90 MB
% 4.16/1.51 % (2646017)Instructions burned: 109 (million)
% 4.16/1.51 % (2646018)Instruction limit reached!
% 4.16/1.51 % (2646018)------------------------------
% 4.16/1.51 % (2646018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.51 % (2646018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.51 % (2646018)CaDiCaL version: 2.1.3
% 4.16/1.51 % (2646018)Termination reason: Instruction limit
% 4.16/1.51 % (2646018)Termination phase: Saturation
% 4.16/1.51 % (2646018)Time elapsed: 0.077 s
% 4.16/1.51 % (2646018)Peak memory usage: 89 MB
% 4.16/1.51 % (2646018)Instructions burned: 120 (million)
% 4.16/1.51 % (2646020)Instruction limit reached!
% 4.16/1.51 % (2646020)------------------------------
% 4.16/1.51 % (2646020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.51 % (2646020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.51 % (2646020)CaDiCaL version: 2.1.3
% 4.16/1.51 % (2646020)Termination reason: Instruction limit
% 4.16/1.51 % (2646020)Termination phase: Saturation
% 4.16/1.51 % (2646020)Time elapsed: 0.082 s
% 4.16/1.51 % (2646020)Peak memory usage: 90 MB
% 4.16/1.51 % (2646020)Instructions burned: 129 (million)
% 4.16/1.51 % (2646019)Instruction limit reached!
% 4.16/1.51 % (2646019)------------------------------
% 4.16/1.51 % (2646019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.51 % (2646019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.51 % (2646019)CaDiCaL version: 2.1.3
% 4.16/1.51 % (2646019)Termination reason: Instruction limit
% 4.16/1.51 % (2646019)Termination phase: Saturation
% 4.16/1.51 % (2646019)Time elapsed: 0.099 s
% 4.16/1.51 % (2646019)Peak memory usage: 90 MB
% 4.16/1.51 % (2646019)Instructions burned: 139 (million)
% 4.16/1.51 % (2646030)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1495712494:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.16/1.51 % (2646029)lrs+10_1_sil=32000:urr=on:br=off:random_seed=826541367:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.16/1.51 % (2646028)lrs+10_1_sil=8000:sp=occurrence:random_seed=862446832:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.16/1.51 % (2646029)First to succeed.
% 4.16/1.51 % (2646029)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2646009"
% 4.16/1.51 % (2646031)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=3132189628:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.16/1.51 % (2646031)Also succeeded, but the first one will report.
% 4.16/1.51 % (2646014)Also succeeded, but the first one will report.
% 4.16/1.51 % (2646028)Instruction limit reached!
% 4.16/1.51 % (2646028)------------------------------
% 4.16/1.51 % (2646028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.51 % (2646028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.51 % (2646028)CaDiCaL version: 2.1.3
% 4.16/1.51 % (2646028)Termination reason: Instruction limit
% 4.16/1.51 % (2646028)Termination phase: Saturation
% 4.16/1.51 % (2646028)Time elapsed: 0.185 s
% 4.16/1.51 % (2646028)Peak memory usage: 92 MB
% 4.16/1.51 % (2646028)Instructions burned: 286 (million)
% 4.16/1.51 % (2646030)Instruction limit reached!
% 4.16/1.51 % (2646030)------------------------------
% 4.16/1.51 % (2646030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.51 % (2646030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.51 % (2646030)CaDiCaL version: 2.1.3
% 4.16/1.51 % (2646030)Termination reason: Instruction limit
% 4.16/1.51 % (2646030)Termination phase: Saturation
% 4.16/1.51 % (2646030)Time elapsed: 0.233 s
% 4.16/1.51 % (2646030)Peak memory usage: 92 MB
% 4.16/1.51 % (2646030)Instructions burned: 326 (million)
% 4.16/1.51 % (2646029)Refutation found. Thanks to Tanya!
% 4.16/1.51 % SZS status Theorem for theBenchmark
% 4.16/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.71 % (2646029)------------------------------
% 5.31/1.71 % (2646029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.71 % (2646029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.71 % (2646029)CaDiCaL version: 2.1.3
% 5.31/1.71 % (2646029)Termination reason: Refutation
% 5.31/1.71 % (2646029)Time elapsed: 0.006 s
% 5.31/1.71 % (2646029)Peak memory usage: 89 MB
% 5.31/1.71 % (2646029)Instructions burned: 7 (million)
% 5.31/1.71 % (2646029)------------------------------
% 5.31/1.71 % (2646029)------------------------------
% 5.31/1.71 % (2646009)Success in time 0.662 s
% 5.31/1.71 % Vampire exiting
%------------------------------------------------------------------------------