%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU199+2 : 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 : 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 12:47:42 PM UTC 2026
% Result : Theorem 5.05s 1.66s
% Output : Refutation 5.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 150 ( 11 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 198 ( 77 ~; 77 |; 30 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 90 ( 78 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,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(f21,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(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f114,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f115,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f210,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,[],[f10]) ).
fof(f215,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,[],[f21]) ).
fof(f236,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f275,plain,
? [X0,X1] :
( ~ subset(relation_rng_restriction(X0,X1),X1)
& relation(X1) ),
inference(ennf_transformation,[],[f115]) ).
fof(f362,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,[],[f210]) ).
fof(f363,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,[],[f362]) ).
fof(f364,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,[],[f363]) ).
fof(f365,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ( ( ~ in(sK5(X0,X1,X2),X0)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) )
& ( ( in(sK5(X0,X1,X2),X0)
& in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1) )
| in(ordered_pair(sK4(X0,X1,X2),sK5(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,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X1,X2))],[f364]) ).
fof(f396,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,[],[f215]) ).
fof(f397,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,[],[f396]) ).
fof(f398,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ in(ordered_pair(sK24(X0,X1),sK25(X0,X1)),X1)
& in(ordered_pair(sK24(X0,X1),sK25(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,[sK24,sK25]),skolemize(X2,sK24(X0,X1)),skolemize(X3,sK25(X0,X1))],[f397]) ).
fof(f448,plain,
( ~ subset(relation_rng_restriction(sK53,sK54),sK54)
& relation(sK54) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X1,sK54)],[f275]) ).
fof(f492,plain,
! [X2,X0,X1,X6,X5] :
( relation_rng_restriction(X0,X1) != X2
| ~ in(ordered_pair(X5,X6),X2)
| in(ordered_pair(X5,X6),X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f365]) ).
fof(f548,plain,
! [X0,X1] :
( in(ordered_pair(sK24(X0,X1),sK25(X0,X1)),X0)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f398]) ).
fof(f549,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK24(X0,X1),sK25(X0,X1)),X1)
| subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f398]) ).
fof(f611,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f683,plain,
relation(sK54),
inference(cnf_transformation,[],[f448]) ).
fof(f684,plain,
~ subset(relation_rng_restriction(sK53,sK54),sK54),
inference(cnf_transformation,[],[f448]) ).
fof(f798,plain,
! [X0] : relation(relation_rng_restriction(X0,sK54)),
inference(unit_resulting_resolution,[],[f611,f683]) ).
fof(f823,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),relation_rng_restriction(X2,X3))
| in(ordered_pair(X0,X1),X3)
| ~ relation(relation_rng_restriction(X2,X3))
| ~ relation(X3) ),
inference(equality_resolution,[],[f492]) ).
fof(f824,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),relation_rng_restriction(X2,X3))
| in(ordered_pair(X0,X1),X3)
| ~ relation(X3) ),
inference(forward_subsumption_resolution,[],[f823,f611]) ).
fof(f1021,plain,
in(ordered_pair(sK24(relation_rng_restriction(sK53,sK54),sK54),sK25(relation_rng_restriction(sK53,sK54),sK54)),relation_rng_restriction(sK53,sK54)),
inference(unit_resulting_resolution,[],[f548,f683,f798,f684]) ).
fof(f1022,plain,
~ in(ordered_pair(sK24(relation_rng_restriction(sK53,sK54),sK54),sK25(relation_rng_restriction(sK53,sK54),sK54)),sK54),
inference(unit_resulting_resolution,[],[f549,f683,f798,f684]) ).
fof(f1151,plain,
$false,
inference(unit_resulting_resolution,[],[f824,f683,f1022,f1021]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU199+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 04:00:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.67/1.47 % (3564899)Detected formulas, will run a generic FOF schedule.
% 3.67/1.47 % (3564908)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1616313187:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.67/1.47 % (3564905)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=541163702:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.67/1.47 % (3564906)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=38849139:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.67/1.47 % (3564904)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=3314726905:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.67/1.47 % (3564909)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1860468555:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.67/1.47 % (3564907)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2654115508:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.67/1.47 % (3564910)dis-21_1_sil=8000:lcm=predicate:random_seed=4188845708: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)
% 3.67/1.47 % (3564908)Instruction limit reached!
% 3.67/1.47 % (3564908)------------------------------
% 3.67/1.47 % (3564908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.47 % (3564908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.47 % (3564908)CaDiCaL version: 2.1.3
% 3.67/1.47 % (3564908)Termination reason: Instruction limit
% 3.67/1.47 % (3564908)Termination phase: Saturation
% 3.67/1.47 % (3564908)Time elapsed: 0.043 s
% 3.67/1.47 % (3564908)Peak memory usage: 89 MB
% 3.67/1.47 % (3564908)Instructions burned: 119 (million)
% 3.67/1.47 % (3564909)Instruction limit reached!
% 3.67/1.47 % (3564909)------------------------------
% 3.67/1.47 % (3564909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.47 % (3564909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.47 % (3564909)CaDiCaL version: 2.1.3
% 3.67/1.47 % (3564909)Termination reason: Instruction limit
% 3.67/1.47 % (3564909)Termination phase: Saturation
% 3.67/1.47 % (3564909)Time elapsed: 0.063 s
% 3.67/1.47 % (3564909)Peak memory usage: 90 MB
% 3.67/1.47 % (3564909)Instructions burned: 140 (million)
% 3.67/1.47 % (3564907)Instruction limit reached!
% 3.67/1.47 % (3564907)------------------------------
% 3.67/1.47 % (3564907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.47 % (3564907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.47 % (3564907)CaDiCaL version: 2.1.3
% 3.67/1.47 % (3564907)Termination reason: Instruction limit
% 3.67/1.47 % (3564907)Termination phase: Saturation
% 3.67/1.47 % (3564907)Time elapsed: 0.072 s
% 3.67/1.47 % (3564907)Peak memory usage: 90 MB
% 3.67/1.47 % (3564907)Instructions burned: 110 (million)
% 3.67/1.47 % (3564910)Instruction limit reached!
% 3.67/1.47 % (3564910)------------------------------
% 3.67/1.47 % (3564910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.47 % (3564910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.47 % (3564910)CaDiCaL version: 2.1.3
% 3.67/1.47 % (3564910)Termination reason: Instruction limit
% 3.67/1.47 % (3564910)Termination phase: Saturation
% 3.67/1.47 % (3564910)Time elapsed: 0.077 s
% 3.67/1.47 % (3564910)Peak memory usage: 90 MB
% 3.67/1.47 % (3564910)Instructions burned: 130 (million)
% 3.67/1.47 % (3564918)lrs+10_1_sil=8000:sp=occurrence:random_seed=411334606:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.67/1.47 % (3564919)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3204571201:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.67/1.47 % (3564919)Instruction limit reached!
% 3.67/1.47 % (3564919)------------------------------
% 3.67/1.47 % (3564919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.47 % (3564919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.47 % (3564919)CaDiCaL version: 2.1.3
% 3.67/1.47 % (3564919)Termination reason: Instruction limit
% 3.67/1.47 % (3564919)Termination phase: Saturation
% 5.05/1.66 % (3564919)Time elapsed: 0.046 s
% 5.05/1.66 % (3564919)Peak memory usage: 90 MB
% 5.05/1.66 % (3564919)Instructions burned: 160 (million)
% 5.05/1.66 % (3564920)lrs+1011_1_sil=32000:sp=occurrence:random_seed=374814787:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.05/1.66 % (3564921)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=1296822029:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.05/1.66 % (3564921)First to succeed.
% 5.05/1.66 % (3564921)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3564899"
% 5.05/1.66 % (3564924)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=858512934:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.05/1.66 % (3564918)Instruction limit reached!
% 5.05/1.66 % (3564918)------------------------------
% 5.05/1.66 % (3564918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.66 % (3564918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.66 % (3564918)CaDiCaL version: 2.1.3
% 5.05/1.66 % (3564918)Termination reason: Instruction limit
% 5.05/1.66 % (3564918)Termination phase: Saturation
% 5.05/1.66 % (3564918)Time elapsed: 0.187 s
% 5.05/1.66 % (3564918)Peak memory usage: 92 MB
% 5.05/1.66 % (3564918)Instructions burned: 285 (million)
% 5.05/1.66 % (3564924)Instruction limit reached!
% 5.05/1.66 % (3564924)------------------------------
% 5.05/1.66 % (3564924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.66 % (3564924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.66 % (3564924)CaDiCaL version: 2.1.3
% 5.05/1.66 % (3564924)Termination reason: Instruction limit
% 5.05/1.66 % (3564924)Termination phase: Saturation
% 5.05/1.66 % (3564924)Time elapsed: 0.098 s
% 5.05/1.66 % (3564924)Peak memory usage: 90 MB
% 5.05/1.66 % (3564924)Instructions burned: 297 (million)
% 5.05/1.66 % (3564920)Instruction limit reached!
% 5.05/1.66 % (3564920)------------------------------
% 5.05/1.66 % (3564920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.66 % (3564920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.66 % (3564920)CaDiCaL version: 2.1.3
% 5.05/1.66 % (3564920)Termination reason: Instruction limit
% 5.05/1.66 % (3564920)Termination phase: Saturation
% 5.05/1.66 % (3564920)Time elapsed: 0.221 s
% 5.05/1.66 % (3564920)Peak memory usage: 93 MB
% 5.05/1.66 % (3564920)Instructions burned: 326 (million)
% 5.05/1.66 % (3564928)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4091489764:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.05/1.66 % (3564921)Refutation found. Thanks to Tanya!
% 5.05/1.66 % SZS status Theorem for theBenchmark
% 5.05/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 5.05/1.66 % (3564921)------------------------------
% 5.05/1.66 % (3564921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.05/1.66 % (3564921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.66 % (3564921)CaDiCaL version: 2.1.3
% 5.05/1.66 % (3564921)Termination reason: Refutation
% 5.05/1.66 % (3564921)Time elapsed: 0.020 s
% 5.05/1.66 % (3564921)Peak memory usage: 89 MB
% 5.05/1.66 % (3564921)Instructions burned: 28 (million)
% 5.05/1.66 % (3564921)------------------------------
% 5.05/1.66 % (3564921)------------------------------
% 5.05/1.66 % (3564899)Success in time 0.637 s
% 5.05/1.66 % Vampire exiting
%------------------------------------------------------------------------------