%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU199+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:47:41 PM UTC 2026
% Result : Theorem 2.24s 11.22s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 11 unt; 4 def)
% Number of atoms : 225 ( 14 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 279 ( 115 ~; 116 |; 30 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 109 ( 0 sgn 97 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
=> in(ordered_pair(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_relat_1) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f12,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f28,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f45,plain,
? [X0,X1] :
( ~ subset(relation_rng_restriction(X0,X1),X1)
& relation(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f55,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f41]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X1) )
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[f57]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) )
| ~ subset(X0,X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ subset(X0,X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X1)
& in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ subset(X0,X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f60]) ).
fof(f69,plain,
( ~ subset(relation_rng_restriction(sK11,sK12),sK12)
& relation(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f45]) ).
fof(f74,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f81,plain,
! [X0,X1] :
( subset(X0,X1)
| in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f82,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f83,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f84,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f104,plain,
relation(sK12),
inference(cnf_transformation,[],[f69]) ).
fof(f105,plain,
~ subset(relation_rng_restriction(sK11,sK12),sK12),
inference(cnf_transformation,[],[f69]) ).
fof(f120,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f74,f83,f83]) ).
fof(f121,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(unordered_pair(unordered_pair(sK2(X0,X1),sK3(X0,X1)),singleton(sK2(X0,X1))),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f82,f83]) ).
fof(f122,plain,
! [X0,X1] :
( subset(X0,X1)
| in(unordered_pair(unordered_pair(sK2(X0,X1),sK3(X0,X1)),singleton(sK2(X0,X1))),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f81,f83]) ).
fof(f127,plain,
! [X0,X1,X6,X5] :
( ~ relation(relation_rng_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ relation(X1) ),
inference(equality_resolution,[],[f120]) ).
fof(f188,plain,
( ~ in(unordered_pair(unordered_pair(sK2(relation_rng_restriction(sK11,sK12),sK12),sK3(relation_rng_restriction(sK11,sK12),sK12)),singleton(sK2(relation_rng_restriction(sK11,sK12),sK12))),sK12)
| ~ relation(sK12)
| ~ relation(relation_rng_restriction(sK11,sK12)) ),
inference(resolution,[],[f121,f105]) ).
fof(f191,definition,
( spl14_3
<=> relation(relation_rng_restriction(sK11,sK12)) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f192,plain,
( ~ relation(relation_rng_restriction(sK11,sK12))
| spl14_3 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,definition,
( spl14_4
<=> relation(sK12) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f195,plain,
( ~ relation(sK12)
| spl14_4 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f197,definition,
( spl14_5
<=> in(unordered_pair(unordered_pair(sK2(relation_rng_restriction(sK11,sK12),sK12),sK3(relation_rng_restriction(sK11,sK12),sK12)),singleton(sK2(relation_rng_restriction(sK11,sK12),sK12))),sK12) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f198,plain,
( ~ in(unordered_pair(unordered_pair(sK2(relation_rng_restriction(sK11,sK12),sK12),sK3(relation_rng_restriction(sK11,sK12),sK12)),singleton(sK2(relation_rng_restriction(sK11,sK12),sK12))),sK12)
| spl14_5 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(avatar_split_clause,[],[f188,f197,f194,f191]) ).
fof(f200,plain,
( ~ relation(sK12)
| spl14_3 ),
inference(resolution,[],[f192,f84]) ).
fof(f201,plain,
( ~ spl14_4
| spl14_3 ),
inference(avatar_split_clause,[],[f200,f191,f194]) ).
fof(f202,plain,
( $false
| spl14_4 ),
inference(resolution,[],[f195,f104]) ).
fof(f203,plain,
spl14_4,
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f204,plain,
( in(unordered_pair(unordered_pair(sK2(relation_rng_restriction(sK11,sK12),sK12),sK3(relation_rng_restriction(sK11,sK12),sK12)),singleton(sK2(relation_rng_restriction(sK11,sK12),sK12))),relation_rng_restriction(sK11,sK12))
| ~ relation(sK12)
| ~ relation(relation_rng_restriction(sK11,sK12)) ),
inference(resolution,[],[f122,f105]) ).
fof(f207,definition,
( spl14_6
<=> in(unordered_pair(unordered_pair(sK2(relation_rng_restriction(sK11,sK12),sK12),sK3(relation_rng_restriction(sK11,sK12),sK12)),singleton(sK2(relation_rng_restriction(sK11,sK12),sK12))),relation_rng_restriction(sK11,sK12)) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
fof(f208,plain,
( in(unordered_pair(unordered_pair(sK2(relation_rng_restriction(sK11,sK12),sK12),sK3(relation_rng_restriction(sK11,sK12),sK12)),singleton(sK2(relation_rng_restriction(sK11,sK12),sK12))),relation_rng_restriction(sK11,sK12))
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f209,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_6 ),
inference(avatar_split_clause,[],[f204,f207,f194,f191]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3))
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X3)
| ~ relation(X3)
| ~ relation(X3) ),
inference(resolution,[],[f127,f84]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( ~ relation(X3)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X3)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,X3)) ),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f513,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_rng_restriction(X2,sK12))
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK12) ),
inference(resolution,[],[f237,f104]) ).
fof(f514,plain,
( in(unordered_pair(unordered_pair(sK2(relation_rng_restriction(sK11,sK12),sK12),sK3(relation_rng_restriction(sK11,sK12),sK12)),singleton(sK2(relation_rng_restriction(sK11,sK12),sK12))),sK12)
| ~ spl14_6 ),
inference(resolution,[],[f513,f208]) ).
fof(f515,plain,
( $false
| spl14_5
| ~ spl14_6 ),
inference(resolution,[],[f514,f198]) ).
fof(f530,plain,
( spl14_5
| ~ spl14_6 ),
inference(avatar_contradiction_clause,[],[f515]) ).
cnf(s2,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5 ),
inference(sat_conversion,[],[f199]) ).
cnf(s3,plain,
( spl14_3
| ~ spl14_4 ),
inference(sat_conversion,[],[f201]) ).
cnf(s4,plain,
spl14_4,
inference(sat_conversion,[],[f203]) ).
cnf(s5,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_6 ),
inference(sat_conversion,[],[f209]) ).
cnf(s31,plain,
( spl14_5
| ~ spl14_6 ),
inference(sat_conversion,[],[f530]) ).
cnf(s37,plain,
spl14_3,
inference(rat,[],[s3,s4]) ).
cnf(s38,plain,
spl14_6,
inference(rat,[],[s5,s4,s37]) ).
cnf(s39,plain,
spl14_5,
inference(rat,[],[s31,s38]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s2,s39,s4,s37]) ).
fof(f535,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU199+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.43 % Computer : n004.cluster.edu
% 0.12/10.43 % Model : x86_64 x86_64
% 0.12/10.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.43 % Memory : 8046.5625MB
% 0.12/10.43 % OS : Linux 6.8.0-71-generic
% 0.12/10.43 % CPULimit : 300
% 0.12/10.43 % WCLimit : 300
% 0.12/10.43 % DateTime : Mon Sep 28 04:00:21 UTC 2026
% 0.12/10.43 % CPUTime :
% 0.12/10.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.46 Running first-order theorem proving
% 0.12/10.46 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
% 2.24/11.22 % (4136741)Detected formulas, will run a generic FOF schedule.
% 2.24/11.22 % (4136752)dis-21_1_sil=8000:lcm=predicate:random_seed=1564114795: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)
% 2.24/11.22 % (4136752)First to succeed.
% 2.24/11.22 % (4136752)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4136741"
% 2.24/11.22 % (4136746)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=1686402798:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.24/11.22 % (4136750)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3096892135:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.24/11.22 % (4136751)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1916870502:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.24/11.22 % (4136747)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=3692974309:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.24/11.22 % (4136749)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=863300258:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.24/11.22 % (4136748)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=2873505081:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.24/11.22 % (4136749)Refutation not found, incomplete strategy
% 2.24/11.22 % (4136749)------------------------------
% 2.24/11.22 % (4136749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/11.22 % (4136749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/11.22 % (4136749)CaDiCaL version: 2.1.3
% 2.24/11.22 % (4136749)Termination reason: Refutation not found, incomplete strategy
% 2.24/11.22 % (4136749)Time elapsed: 0.002 s
% 2.24/11.22 % (4136749)Peak memory usage: 88 MB
% 2.24/11.22 % (4136749)Instructions burned: 1 (million)
% 2.24/11.22 % (4136751)Also succeeded, but the first one will report.
% 2.24/11.22 % (4136750)Also succeeded, but the first one will report.
% 2.24/11.22 % (4136752)Refutation found. Thanks to Tanya!
% 2.24/11.22 % SZS status Theorem for theBenchmark
% 2.24/11.22 % SZS output start Proof for theBenchmark
% See solution above
% 2.85/11.41 % (4136752)------------------------------
% 2.85/11.41 % (4136752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/11.41 % (4136752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/11.41 % (4136752)CaDiCaL version: 2.1.3
% 2.85/11.41 % (4136752)Termination reason: Refutation
% 2.85/11.41 % (4136752)Time elapsed: 0.006 s
% 2.85/11.41 % (4136752)Peak memory usage: 89 MB
% 2.85/11.41 % (4136752)Instructions burned: 14 (million)
% 2.85/11.41 % (4136752)------------------------------
% 2.85/11.41 % (4136752)------------------------------
% 2.85/11.41 % (4136741)Success in time 0.311 s
% 2.85/11.41 % Vampire exiting
%------------------------------------------------------------------------------