%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU211+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 : n010.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 12:47:45 PM UTC 2026
% Result : Theorem 0.24s 2.41s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 163 ( 9 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 198 ( 72 ~; 69 |; 42 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 107 ( 87 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f24,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f131,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_relat_1) ).
fof(f134,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t178_relat_1) ).
fof(f135,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f134]) ).
fof(f211,plain,
? [X0,X1,X2] :
( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,X1)
& relation(X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f212,plain,
? [X0,X1,X2] :
( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,X1)
& relation(X2) ),
inference(flattening,[],[f211]) ).
fof(f215,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f131]) ).
fof(f220,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f221,plain,
( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1))
& subset(sK0,sK1)
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f212]) ).
fof(f222,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,[],[f215]) ).
fof(f223,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,[],[f222]) ).
fof(f224,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f223]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) ) )
& ( ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f219]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) ) )
& ( ? [X4] :
( in(X4,relation_rng(X2))
& in(ordered_pair(X0,X4),X2)
& in(X4,X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(rectify,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) ) )
& ( ( in(sK4(X0,X1,X2),relation_rng(X2))
& in(ordered_pair(X0,sK4(X0,X1,X2)),X2)
& in(sK4(X0,X1,X2),X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f228]) ).
fof(f230,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f231,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X6,X8),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f230]) ).
fof(f232,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(sK5(X0,X1,X2),X4),X0)
| ~ in(X4,X1) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK5(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(sK6(X0,X1,X2),X1) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(X6,sK7(X0,X1,X6)),X0)
& in(sK7(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X5,sK6(X0,X1,X2)),skolemize(X8,sK7(X0,X1,X6))],[f231]) ).
fof(f233,plain,
relation(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f234,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f221]) ).
fof(f235,plain,
~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),
inference(cnf_transformation,[],[f221]) ).
fof(f238,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f239,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f240,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f246,plain,
! [X2,X0,X1] :
( in(sK4(X0,X1,X2),X1)
| ~ in(X0,relation_inverse_image(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f229]) ).
fof(f247,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,sK4(X0,X1,X2)),X2)
| ~ in(X0,relation_inverse_image(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f229]) ).
fof(f252,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f258,plain,
! [X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),X0)
| in(X6,relation_inverse_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f252]) ).
fof(f262,plain,
in(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),relation_inverse_image(sK2,sK0)),
inference(unit_resulting_resolution,[],[f239,f235]) ).
fof(f263,plain,
~ in(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),relation_inverse_image(sK2,sK1)),
inference(unit_resulting_resolution,[],[f240,f235]) ).
fof(f281,plain,
in(sK4(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f246,f233,f262]) ).
fof(f288,plain,
in(sK4(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),sK0,sK2),sK1),
inference(unit_resulting_resolution,[],[f238,f234,f281]) ).
fof(f293,plain,
in(ordered_pair(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),sK4(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),sK0,sK2)),sK2),
inference(unit_resulting_resolution,[],[f247,f233,f262]) ).
fof(f296,plain,
~ in(ordered_pair(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),sK4(sK3(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),sK0,sK2)),sK2),
inference(unit_resulting_resolution,[],[f258,f233,f288,f263]) ).
fof(f297,plain,
$false,
inference(forward_subsumption_resolution,[],[f296,f293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU211+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 28 04:04:32 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 7.18/2.12 % (1544148)Detected formulas, will run a generic FOF schedule.
% 7.18/2.12 % (1544166)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=125722461:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.18/2.12 % (1544171)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2486722496:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.18/2.12 % (1544170)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4104407140:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.18/2.12 % (1544172)dis-21_1_sil=8000:lcm=predicate:random_seed=2827858985: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)
% 7.18/2.12 % (1544167)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=3148419577:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.18/2.12 % (1544168)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=349719777:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.18/2.12 % (1544169)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1117827790:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.18/2.12 % (1544171)Instruction limit reached!
% 7.18/2.12 % (1544171)------------------------------
% 7.18/2.12 % (1544171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.12 % (1544171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.12 % (1544171)CaDiCaL version: 2.1.3
% 7.18/2.12 % (1544171)Termination reason: Instruction limit
% 7.18/2.12 % (1544171)Termination phase: Saturation
% 7.18/2.12 % (1544171)Time elapsed: 0.110 s
% 7.18/2.12 % (1544171)Peak memory usage: 90 MB
% 7.18/2.12 % (1544171)Instructions burned: 139 (million)
% 7.18/2.12 % (1544169)Instruction limit reached!
% 7.18/2.12 % (1544169)------------------------------
% 7.18/2.12 % (1544169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.12 % (1544169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.12 % (1544169)CaDiCaL version: 2.1.3
% 7.18/2.12 % (1544169)Termination reason: Instruction limit
% 7.18/2.12 % (1544169)Termination phase: Saturation
% 7.18/2.12 % (1544169)Time elapsed: 0.112 s
% 7.18/2.12 % (1544169)Peak memory usage: 90 MB
% 7.18/2.12 % (1544169)Instructions burned: 110 (million)
% 7.18/2.12 % (1544170)Instruction limit reached!
% 7.18/2.12 % (1544170)------------------------------
% 7.18/2.12 % (1544170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.12 % (1544170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.12 % (1544170)CaDiCaL version: 2.1.3
% 7.18/2.12 % (1544170)Termination reason: Instruction limit
% 7.18/2.12 % (1544170)Termination phase: Saturation
% 7.18/2.12 % (1544170)Time elapsed: 0.124 s
% 7.18/2.12 % (1544170)Peak memory usage: 89 MB
% 7.18/2.12 % (1544170)Instructions burned: 119 (million)
% 7.18/2.12 % (1544172)Instruction limit reached!
% 7.18/2.12 % (1544172)------------------------------
% 7.18/2.12 % (1544172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/2.12 % (1544172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/2.12 % (1544172)CaDiCaL version: 2.1.3
% 7.18/2.12 % (1544172)Termination reason: Instruction limit
% 7.18/2.12 % (1544172)Termination phase: Saturation
% 7.18/2.12 % (1544172)Time elapsed: 0.130 s
% 7.18/2.12 % (1544172)Peak memory usage: 90 MB
% 7.18/2.12 % (1544172)Instructions burned: 129 (million)
% 7.18/2.12 % (1544183)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=992668630:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.18/2.12 % (1544180)lrs+10_1_sil=8000:sp=occurrence:random_seed=3505311421:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 7.18/2.12 % (1544181)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2557655189:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.18/2.12 % (1544181)First to succeed.
% 7.18/2.12 % (1544182)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2900177604:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.18/2.12 % (1544181)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1544148"
% 0.24/2.41 % (1544183)Also succeeded, but the first one will report.
% 0.24/2.41 % (1544166)Also succeeded, but the first one will report.
% 0.24/2.41 % (1544180)Instruction limit reached!
% 0.24/2.41 % (1544180)------------------------------
% 0.24/2.41 % (1544180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.41 % (1544180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.41 % (1544180)CaDiCaL version: 2.1.3
% 0.24/2.41 % (1544180)Termination reason: Instruction limit
% 0.24/2.41 % (1544180)Termination phase: Saturation
% 0.24/2.41 % (1544180)Time elapsed: 0.301 s
% 0.24/2.41 % (1544180)Peak memory usage: 92 MB
% 0.24/2.41 % (1544180)Instructions burned: 285 (million)
% 0.24/2.41 % (1544182)Instruction limit reached!
% 0.24/2.41 % (1544182)------------------------------
% 0.24/2.41 % (1544182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.41 % (1544182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.41 % (1544182)CaDiCaL version: 2.1.3
% 0.24/2.41 % (1544182)Termination reason: Instruction limit
% 0.24/2.41 % (1544182)Termination phase: Saturation
% 0.24/2.41 % (1544182)Time elapsed: 0.342 s
% 0.24/2.41 % (1544182)Peak memory usage: 93 MB
% 0.24/2.41 % (1544182)Instructions burned: 326 (million)
% 0.24/2.41 % (1544181)Refutation found. Thanks to Tanya!
% 0.24/2.41 % SZS status Theorem for theBenchmark
% 0.24/2.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/2.41 % (1544181)------------------------------
% 0.24/2.41 % (1544181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.41 % (1544181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.41 % (1544181)CaDiCaL version: 2.1.3
% 0.24/2.41 % (1544181)Termination reason: Refutation
% 0.24/2.41 % (1544181)Time elapsed: 0.008 s
% 0.24/2.41 % (1544181)Peak memory usage: 89 MB
% 0.24/2.41 % (1544181)Instructions burned: 6 (million)
% 0.24/2.41 % (1544181)------------------------------
% 0.24/2.41 % (1544181)------------------------------
% 0.24/2.41 % (1544148)Success in time 0.981 s
% 0.24/2.41 % Vampire exiting
%------------------------------------------------------------------------------