%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU248+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 : n007.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 12:48:00 PM UTC 2026
% Result : Theorem 2.68s 1.24s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 5 unt; 0 def)
% Number of atoms : 206 ( 21 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 265 ( 102 ~; 107 |; 39 &)
% ( 10 <=>; 7 =>; 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 : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 137 ( 119 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f15,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f21,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f44,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,[],[f5]) ).
fof(f45,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f47,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f50,plain,
? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f60,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,[],[f44]) ).
fof(f61,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,[],[f60]) ).
fof(f62,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,[],[f61]) ).
fof(f63,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))],[f62]) ).
fof(f64,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,[],[f45]) ).
fof(f65,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,[],[f64]) ).
fof(f66,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))],[f65]) ).
fof(f67,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,[],[f46]) ).
fof(f68,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,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f68]) ).
fof(f71,plain,
( ~ subset(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8))
& relation(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f50]) ).
fof(f83,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,[],[f63]) ).
fof(f90,plain,
! [X0,X1] :
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f91,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f92,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f93,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f97,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f103,plain,
relation(sK8),
inference(cnf_transformation,[],[f71]) ).
fof(f104,plain,
~ subset(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),
inference(cnf_transformation,[],[f71]) ).
fof(f126,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f83]) ).
fof(f127,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f93]) ).
fof(f128,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f92]) ).
fof(f150,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| in(ordered_pair(X5,X6),X1)
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f126,f97]) ).
fof(f154,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,sK5(relation_rng_restriction(X1,X2),X0)),X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(relation_rng_restriction(X1,X2)))
| ~ relation(relation_rng_restriction(X1,X2)) ),
inference(resolution,[],[f150,f128]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| in(ordered_pair(X0,sK5(relation_rng_restriction(X1,X2),X0)),X2)
| ~ in(X0,relation_dom(relation_rng_restriction(X1,X2))) ),
inference(forward_subsumption_resolution,[],[f154,f97]) ).
fof(f224,plain,
! [X0,X1] :
( in(ordered_pair(X0,sK5(relation_rng_restriction(X1,sK8),X0)),sK8)
| ~ in(X0,relation_dom(relation_rng_restriction(X1,sK8))) ),
inference(resolution,[],[f155,f103]) ).
fof(f229,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(relation_rng_restriction(X1,sK8)))
| in(X0,relation_dom(sK8))
| ~ relation(sK8) ),
inference(resolution,[],[f224,f127]) ).
fof(f232,plain,
! [X0,X1] :
( ~ in(X0,relation_dom(relation_rng_restriction(X1,sK8)))
| in(X0,relation_dom(sK8)) ),
inference(forward_subsumption_resolution,[],[f229,f103]) ).
fof(f241,plain,
! [X0,X1] :
( subset(relation_dom(relation_rng_restriction(X0,sK8)),X1)
| in(sK2(relation_dom(relation_rng_restriction(X0,sK8)),X1),relation_dom(sK8)) ),
inference(resolution,[],[f232,f90]) ).
fof(f251,plain,
in(sK2(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),relation_dom(sK8)),
inference(resolution,[],[f241,f104]) ).
fof(f267,plain,
subset(relation_dom(relation_rng_restriction(sK7,sK8)),relation_dom(sK8)),
inference(resolution,[],[f251,f91]) ).
fof(f270,plain,
$false,
inference(forward_subsumption_resolution,[],[f267,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU248+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 28 04:17:11 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 2.68/1.24 % (2018550)Detected formulas, will run a generic FOF schedule.
% 2.68/1.24 % (2018555)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=2470243471:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.68/1.24 % (2018560)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2445743796:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.68/1.24 % (2018561)dis-21_1_sil=8000:lcm=predicate:random_seed=344094896: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)
% 2.68/1.24 % (2018559)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2166084160:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.68/1.24 % (2018558)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3319070835:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.68/1.24 % (2018557)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=511931948:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.68/1.24 % (2018556)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=1240287608:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.68/1.24 % (2018558)Refutation not found, incomplete strategy
% 2.68/1.24 % (2018558)------------------------------
% 2.68/1.24 % (2018558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.24 % (2018558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.24 % (2018558)CaDiCaL version: 2.1.3
% 2.68/1.24 % (2018558)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.24 % (2018558)Time elapsed: 0.002 s
% 2.68/1.24 % (2018558)Peak memory usage: 88 MB
% 2.68/1.24 % (2018558)Instructions burned: 1 (million)
% 2.68/1.24 % (2018560)First to succeed.
% 2.68/1.24 % (2018560)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2018550"
% 2.68/1.24 % (2018559)Instruction limit reached!
% 2.68/1.24 % (2018559)------------------------------
% 2.68/1.24 % (2018559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.24 % (2018559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.24 % (2018559)CaDiCaL version: 2.1.3
% 2.68/1.24 % (2018559)Termination reason: Instruction limit
% 2.68/1.24 % (2018559)Termination phase: Saturation
% 2.68/1.24 % (2018559)Time elapsed: 0.057 s
% 2.68/1.24 % (2018559)Peak memory usage: 88 MB
% 2.68/1.24 % (2018559)Instructions burned: 122 (million)
% 2.68/1.24 % (2018561)Instruction limit reached!
% 2.68/1.24 % (2018561)------------------------------
% 2.68/1.24 % (2018561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.24 % (2018561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.24 % (2018561)CaDiCaL version: 2.1.3
% 2.68/1.24 % (2018561)Termination reason: Instruction limit
% 2.68/1.24 % (2018561)Termination phase: Saturation
% 2.68/1.24 % (2018561)Time elapsed: 0.077 s
% 2.68/1.24 % (2018561)Peak memory usage: 90 MB
% 2.68/1.24 % (2018561)Instructions burned: 130 (million)
% 2.68/1.24 % (2018569)lrs+10_1_sil=8000:sp=occurrence:random_seed=2733693001:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.68/1.24 % (2018570)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3380680666:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.68/1.24 % (2018570)Also succeeded, but the first one will report.
% 2.68/1.24 % (2018558)------------------------------
% 2.68/1.24 % (2018558)------------------------------
% 2.68/1.24 % (2018560)Refutation found. Thanks to Tanya!
% 2.68/1.24 % SZS status Theorem for theBenchmark
% 2.68/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.44 % (2018560)------------------------------
% 3.49/1.44 % (2018560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.44 % (2018560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.44 % (2018560)CaDiCaL version: 2.1.3
% 3.49/1.44 % (2018560)Termination reason: Refutation
% 3.49/1.44 % (2018560)Time elapsed: 0.010 s
% 3.49/1.44 % (2018560)Peak memory usage: 89 MB
% 3.49/1.44 % (2018560)Instructions burned: 11 (million)
% 3.49/1.44 % (2018560)------------------------------
% 3.49/1.44 % (2018560)------------------------------
% 3.49/1.44 % (2018550)Success in time 0.409 s
% 3.49/1.44 % Vampire exiting
%------------------------------------------------------------------------------