%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:47:07 PM UTC 2026
% Result : Theorem 3.92s 1.52s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 11 unt; 4 def)
% Number of atoms : 263 ( 23 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 306 ( 107 ~; 108 |; 64 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 129 ( 0 sgn 117 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f12,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f28,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).
fof(f36,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f37,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_funct_1) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f40,plain,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( in(X4,relation_dom(X1))
=> apply(X2,X4) = apply(X1,X4) ) ) ) ) ),
inference(rectify,[],[f36]) ).
fof(f44,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f45,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f50,plain,
! [X0,X1] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f63,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f64,definition,
! [X1,X0,X2] :
( ( X1 = relation_rng_restriction(X0,X2)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0,X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X1,X0,X2)
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(definition_folding,[],[f47,f64,f63]) ).
fof(f66,plain,
( ( ~ subset(relation_dom(relation_rng_restriction(sK2,sK3)),relation_dom(sK3))
| ~ subset(relation_rng(relation_rng_restriction(sK2,sK3)),relation_rng(sK3)) )
& relation(sK3)
& function(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f45]) ).
fof(f67,plain,
! [X1,X0,X2] :
( ( ( X1 = relation_rng_restriction(X0,X2)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| relation_rng_restriction(X0,X2) != X1 ) )
| ~ sP1(X1,X0,X2) ),
inference(nnf_transformation,[],[f64]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ( relation_rng_restriction(X1,X2) = X0
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| relation_rng_restriction(X1,X2) != X0 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X1)) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| in(X3,relation_dom(X1)) ) )
| ? [X4] :
( apply(X2,X4) != apply(X1,X4)
& in(X4,relation_dom(X1)) ) )
& ( ( ! [X3] :
( ( in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| ~ in(X3,relation_dom(X1)) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X1)) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| in(X3,relation_dom(X1)) ) )
| ? [X4] :
( apply(X2,X4) != apply(X1,X4)
& in(X4,relation_dom(X1)) ) )
& ( ( ! [X3] :
( ( in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2))
| ~ in(apply(X2,X3),X0) )
& ( ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) )
| ~ in(X3,relation_dom(X1)) ) )
& ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X2)) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,relation_dom(X2)) ) )
| ? [X4] :
( apply(X2,X4) != apply(X0,X4)
& in(X4,relation_dom(X2)) ) )
& ( ( ! [X5] :
( ( in(X5,relation_dom(X2))
| ~ in(X5,relation_dom(X0))
| ~ in(apply(X0,X5),X1) )
& ( ( in(X5,relation_dom(X0))
& in(apply(X0,X5),X1) )
| ~ in(X5,relation_dom(X2)) ) )
& ! [X6] :
( apply(X0,X6) = apply(X2,X6)
| ~ in(X6,relation_dom(X2)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(sK4(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK4(X0,X1,X2)),X1)
| ~ in(sK4(X0,X1,X2),relation_dom(X2)) )
& ( ( in(sK4(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK4(X0,X1,X2)),X1) )
| in(sK4(X0,X1,X2),relation_dom(X2)) ) )
| ( apply(X2,sK5(X0,X2)) != apply(X0,sK5(X0,X2))
& in(sK5(X0,X2),relation_dom(X2)) ) )
& ( ( ! [X5] :
( ( in(X5,relation_dom(X2))
| ~ in(X5,relation_dom(X0))
| ~ in(apply(X0,X5),X1) )
& ( ( in(X5,relation_dom(X0))
& in(apply(X0,X5),X1) )
| ~ in(X5,relation_dom(X2)) ) )
& ! [X6] :
( apply(X0,X6) = apply(X2,X6)
| ~ in(X6,relation_dom(X2)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X2))],[f71]) ).
fof(f79,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,[],[f62]) ).
fof(f80,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,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f80]) ).
fof(f82,plain,
function(sK3),
inference(cnf_transformation,[],[f66]) ).
fof(f83,plain,
relation(sK3),
inference(cnf_transformation,[],[f66]) ).
fof(f84,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK2,sK3)),relation_dom(sK3))
| ~ subset(relation_rng(relation_rng_restriction(sK2,sK3)),relation_rng(sK3)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f85,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| relation_rng_restriction(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f89,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(X5,relation_dom(X2))
| in(X5,relation_dom(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f97,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f98,plain,
! [X0,X1] :
( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f99,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f101,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f127,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f128,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f129,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X1,X2),X1,X2)
| sP0(X2,X1,relation_rng_restriction(X1,X2)) ),
inference(equality_resolution,[],[f85]) ).
fof(f131,definition,
( spl12_1
<=> subset(relation_rng(relation_rng_restriction(sK2,sK3)),relation_rng(sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f133,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK2,sK3)),relation_rng(sK3))
| spl12_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl12_2
<=> subset(relation_dom(relation_rng_restriction(sK2,sK3)),relation_dom(sK3)) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f137,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK2,sK3)),relation_dom(sK3))
| spl12_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f84,f135,f131]) ).
fof(f159,plain,
! [X0] : relation(relation_rng_restriction(X0,sK3)),
inference(unit_resulting_resolution,[],[f101,f83]) ).
fof(f175,plain,
! [X0] : function(relation_rng_restriction(X0,sK3)),
inference(unit_resulting_resolution,[],[f99,f82,f83]) ).
fof(f197,plain,
( ~ relation(sK3)
| spl12_1 ),
inference(unit_resulting_resolution,[],[f98,f133]) ).
fof(f200,plain,
( $false
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f197,f83]) ).
fof(f201,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f202,plain,
( ~ in(sK11(relation_dom(relation_rng_restriction(sK2,sK3)),relation_dom(sK3)),relation_dom(sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f128,f137]) ).
fof(f203,plain,
( in(sK11(relation_dom(relation_rng_restriction(sK2,sK3)),relation_dom(sK3)),relation_dom(relation_rng_restriction(sK2,sK3)))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f127,f137]) ).
fof(f231,plain,
! [X0,X1] : sP1(relation_rng_restriction(X0,sK3),X1,sK3),
inference(unit_resulting_resolution,[],[f97,f175,f159,f82,f83]) ).
fof(f279,plain,
( ! [X0] : ~ sP0(sK3,X0,relation_rng_restriction(sK2,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f89,f202,f203]) ).
fof(f309,plain,
( ~ sP1(relation_rng_restriction(sK2,sK3),sK2,sK3)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f129,f279]) ).
fof(f312,plain,
( $false
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f309,f231]) ).
fof(f313,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f312]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f138]) ).
cnf(s3,plain,
spl12_1,
inference(sat_conversion,[],[f201]) ).
cnf(s5,plain,
spl12_2,
inference(sat_conversion,[],[f313]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s3]) ).
fof(f314,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:27:19 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.92/1.52 % (3549648)Detected formulas, will run a generic FOF schedule.
% 3.92/1.52 % (3549659)dis-21_1_sil=8000:lcm=predicate:random_seed=3235433751: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)
% 3.92/1.52 % (3549657)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3482643402:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.92/1.52 % (3549656)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2049648435:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.92/1.52 % (3549654)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=2780105122:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.92/1.52 % (3549653)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=887231912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.92/1.52 % (3549655)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=2847743633:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.92/1.52 % (3549656)Refutation not found, incomplete strategy
% 3.92/1.52 % (3549656)------------------------------
% 3.92/1.52 % (3549656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (3549656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (3549656)CaDiCaL version: 2.1.3
% 3.92/1.52 % (3549656)Termination reason: Refutation not found, incomplete strategy
% 3.92/1.52 % (3549656)Time elapsed: 0.002 s
% 3.92/1.52 % (3549656)Peak memory usage: 88 MB
% 3.92/1.52 % (3549656)Instructions burned: 1 (million)
% 3.92/1.52 % (3549659)Instruction limit reached!
% 3.92/1.52 % (3549659)------------------------------
% 3.92/1.52 % (3549659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (3549659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (3549659)CaDiCaL version: 2.1.3
% 3.92/1.52 % (3549659)Termination reason: Instruction limit
% 3.92/1.52 % (3549659)Termination phase: Saturation
% 3.92/1.52 % (3549659)Time elapsed: 0.035 s
% 3.92/1.52 % (3549659)Peak memory usage: 88 MB
% 3.92/1.52 % (3549659)Instructions burned: 129 (million)
% 3.92/1.52 % (3549658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=325918570:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.92/1.52 % (3549657)Instruction limit reached!
% 3.92/1.52 % (3549657)------------------------------
% 3.92/1.52 % (3549657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (3549657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (3549657)CaDiCaL version: 2.1.3
% 3.92/1.52 % (3549657)Termination reason: Instruction limit
% 3.92/1.52 % (3549657)Termination phase: Saturation
% 3.92/1.52 % (3549657)Time elapsed: 0.051 s
% 3.92/1.52 % (3549657)Peak memory usage: 88 MB
% 3.92/1.52 % (3549657)Instructions burned: 120 (million)
% 3.92/1.52 % (3549658)Instruction limit reached!
% 3.92/1.52 % (3549658)------------------------------
% 3.92/1.52 % (3549658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (3549658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (3549658)CaDiCaL version: 2.1.3
% 3.92/1.52 % (3549658)Termination reason: Instruction limit
% 3.92/1.52 % (3549658)Termination phase: Saturation
% 3.92/1.52 % (3549658)Time elapsed: 0.097 s
% 3.92/1.52 % (3549658)Peak memory usage: 89 MB
% 3.92/1.52 % (3549658)Instructions burned: 139 (million)
% 3.92/1.52 % (3549667)lrs+10_1_sil=8000:sp=occurrence:random_seed=3038064036:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.92/1.52 % (3549668)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3290401107:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.92/1.52 % (3549667)Instruction limit reached!
% 3.92/1.52 % (3549667)------------------------------
% 3.92/1.52 % (3549667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (3549667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (3549667)CaDiCaL version: 2.1.3
% 3.92/1.52 % (3549667)Termination reason: Instruction limit
% 3.92/1.52 % (3549667)Termination phase: Saturation
% 3.92/1.52 % (3549667)Time elapsed: 0.089 s
% 3.92/1.52 % (3549667)Peak memory usage: 91 MB
% 3.92/1.52 % (3549667)Instructions burned: 286 (million)
% 3.92/1.52 % (3549668)First to succeed.
% 3.92/1.52 % (3549668)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3549648"
% 3.92/1.52 % (3549656)------------------------------
% 3.92/1.52 % (3549656)------------------------------
% 3.92/1.52 % (3549669)lrs+1011_1_sil=32000:sp=occurrence:random_seed=183606345:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.92/1.52 % (3549669)Also succeeded, but the first one will report.
% 3.92/1.52 % (3549672)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=2052860127:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.92/1.52 % (3549672)Instruction limit reached!
% 3.92/1.52 % (3549672)------------------------------
% 3.92/1.52 % (3549672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.52 % (3549672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.52 % (3549672)CaDiCaL version: 2.1.3
% 3.92/1.52 % (3549672)Termination reason: Instruction limit
% 3.92/1.52 % (3549672)Termination phase: Saturation
% 3.92/1.52 % (3549672)Time elapsed: 0.078 s
% 3.92/1.52 % (3549672)Peak memory usage: 91 MB
% 3.92/1.52 % (3549672)Instructions burned: 249 (million)
% 3.92/1.52 % (3549673)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1623407460:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.92/1.52 % (3549668)Refutation found. Thanks to Tanya!
% 3.92/1.52 % SZS status Theorem for theBenchmark
% 3.92/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.27/1.71 % (3549668)------------------------------
% 5.27/1.71 % (3549668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.71 % (3549668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.71 % (3549668)CaDiCaL version: 2.1.3
% 5.27/1.71 % (3549668)Termination reason: Refutation
% 5.27/1.71 % (3549668)Time elapsed: 0.009 s
% 5.27/1.71 % (3549668)Peak memory usage: 90 MB
% 5.27/1.71 % (3549668)Instructions burned: 12 (million)
% 5.27/1.71 % (3549668)------------------------------
% 5.27/1.71 % (3549668)------------------------------
% 5.27/1.71 % (3549648)Success in time 0.658 s
% 5.27/1.71 % Vampire exiting
%------------------------------------------------------------------------------