%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU206+1 : 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 : 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 12:47:44 PM UTC 2026
% Result : Theorem 0.57s 0.93s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 6 unt; 0 def)
% Number of atoms : 227 ( 47 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 284 ( 103 ~; 127 |; 37 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-3 aty)
% Number of variables : 137 ( 112 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
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/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f38,conjecture,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f53,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(f54,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
? [X0] :
( relation_rng(X0) != relation_image(X0,relation_dom(X0))
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f76,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0)
| ~ in(X4,X1) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
& in(sK2(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f76]) ).
fof(f81,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,[],[f53]) ).
fof(f82,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,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK6(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f82]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f85]) ).
fof(f94,plain,
( relation_rng(sK17) != relation_image(sK17,relation_dom(sK17))
& relation(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f63]) ).
fof(f103,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f104,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f112,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f117,plain,
! [X0,X1] :
( ~ relation(X0)
| in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1)
| relation_rng(X0) = X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f118,plain,
! [X3,X0,X1] :
( ~ in(sK7(X0,X1),X1)
| ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| relation_rng(X0) = X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f146,plain,
relation(sK17),
inference(cnf_transformation,[],[f94]) ).
fof(f147,plain,
relation_rng(sK17) != relation_image(sK17,relation_dom(sK17)),
inference(cnf_transformation,[],[f94]) ).
fof(f159,plain,
! [X0,X1,X6,X7] :
( ~ in(ordered_pair(X7,X6),X0)
| in(X6,relation_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f104]) ).
fof(f160,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_image(X0,X1))
| in(ordered_pair(sK2(X0,X1,X6),X6),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f103]) ).
fof(f162,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f112]) ).
fof(f286,plain,
! [X0] :
( in(ordered_pair(sK8(sK17,X0),sK7(sK17,X0)),sK17)
| in(sK7(sK17,X0),X0)
| relation_rng(sK17) = X0 ),
inference(resolution,[],[f117,f146]) ).
fof(f331,plain,
! [X0,X1] :
( in(sK7(sK17,X0),X0)
| relation_rng(sK17) = X0
| in(sK7(sK17,X0),relation_image(sK17,X1))
| ~ in(sK8(sK17,X0),X1)
| ~ relation(sK17) ),
inference(resolution,[],[f286,f159]) ).
fof(f333,plain,
! [X0] :
( in(sK7(sK17,X0),X0)
| relation_rng(sK17) = X0
| in(sK8(sK17,X0),relation_dom(sK17))
| ~ relation(sK17) ),
inference(resolution,[],[f286,f162]) ).
fof(f336,plain,
! [X0] :
( in(sK8(sK17,X0),relation_dom(sK17))
| relation_rng(sK17) = X0
| in(sK7(sK17,X0),X0) ),
inference(forward_subsumption_resolution,[],[f333,f146]) ).
fof(f338,plain,
! [X0,X1] :
( ~ in(sK8(sK17,X0),X1)
| relation_rng(sK17) = X0
| in(sK7(sK17,X0),relation_image(sK17,X1))
| in(sK7(sK17,X0),X0) ),
inference(forward_subsumption_resolution,[],[f331,f146]) ).
fof(f794,plain,
! [X0] :
( relation_rng(sK17) = X0
| in(sK7(sK17,X0),relation_image(sK17,relation_dom(sK17)))
| in(sK7(sK17,X0),X0)
| relation_rng(sK17) = X0
| in(sK7(sK17,X0),X0) ),
inference(resolution,[],[f338,f336]) ).
fof(f795,plain,
! [X0] :
( in(sK7(sK17,X0),relation_image(sK17,relation_dom(sK17)))
| relation_rng(sK17) = X0
| in(sK7(sK17,X0),X0) ),
inference(duplicate_literal_removal,[],[f794]) ).
fof(f948,plain,
! [X0] :
( relation_rng(sK17) = relation_image(sK17,relation_dom(sK17))
| in(sK7(sK17,relation_image(sK17,relation_dom(sK17))),relation_image(sK17,relation_dom(sK17)))
| ~ in(ordered_pair(X0,sK7(sK17,relation_image(sK17,relation_dom(sK17)))),sK17)
| relation_rng(sK17) = relation_image(sK17,relation_dom(sK17))
| ~ relation(sK17) ),
inference(resolution,[],[f795,f118]) ).
fof(f954,plain,
! [X0] :
( relation_rng(sK17) = relation_image(sK17,relation_dom(sK17))
| in(sK7(sK17,relation_image(sK17,relation_dom(sK17))),relation_image(sK17,relation_dom(sK17)))
| ~ in(ordered_pair(X0,sK7(sK17,relation_image(sK17,relation_dom(sK17)))),sK17)
| ~ relation(sK17) ),
inference(duplicate_literal_removal,[],[f948]) ).
fof(f957,plain,
! [X0] :
( relation_rng(sK17) = relation_image(sK17,relation_dom(sK17))
| ~ in(ordered_pair(X0,sK7(sK17,relation_image(sK17,relation_dom(sK17)))),sK17)
| ~ relation(sK17) ),
inference(forward_subsumption_resolution,[],[f954,f118]) ).
fof(f958,plain,
! [X0] :
( ~ in(ordered_pair(X0,sK7(sK17,relation_image(sK17,relation_dom(sK17)))),sK17)
| ~ relation(sK17) ),
inference(forward_subsumption_resolution,[],[f957,f147]) ).
fof(f959,plain,
! [X0] : ~ in(ordered_pair(X0,sK7(sK17,relation_image(sK17,relation_dom(sK17)))),sK17),
inference(forward_subsumption_resolution,[],[f958,f146]) ).
fof(f966,plain,
( in(sK7(sK17,relation_image(sK17,relation_dom(sK17))),relation_image(sK17,relation_dom(sK17)))
| relation_rng(sK17) = relation_image(sK17,relation_dom(sK17)) ),
inference(resolution,[],[f959,f286]) ).
fof(f968,plain,
in(sK7(sK17,relation_image(sK17,relation_dom(sK17))),relation_image(sK17,relation_dom(sK17))),
inference(forward_subsumption_resolution,[],[f966,f147]) ).
fof(f979,plain,
( in(ordered_pair(sK2(sK17,relation_dom(sK17),sK7(sK17,relation_image(sK17,relation_dom(sK17)))),sK7(sK17,relation_image(sK17,relation_dom(sK17)))),sK17)
| ~ relation(sK17) ),
inference(resolution,[],[f968,f160]) ).
fof(f985,plain,
~ relation(sK17),
inference(forward_subsumption_resolution,[],[f979,f959]) ).
fof(f986,plain,
$false,
inference(forward_subsumption_resolution,[],[f985,f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU206+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 04:00:41 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.57/0.93 % (2014679)Detected formulas, will run a generic FOF schedule.
% 0.57/0.93 % (2014689)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2278992369:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.57/0.93 % (2014689)First to succeed.
% 0.57/0.93 % (2014689)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2014679"
% 0.57/0.93 % (2014687)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1529102328:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.57/0.93 % (2014688)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4061961285:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.57/0.93 % (2014684)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=3857778411:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.57/0.93 % (2014690)dis-21_1_sil=8000:lcm=predicate:random_seed=2721190215: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)
% 0.57/0.93 % (2014685)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=2134091211:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.57/0.93 % (2014686)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=1906161604:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.57/0.93 % (2014687)Refutation not found, incomplete strategy
% 0.57/0.93 % (2014687)------------------------------
% 0.57/0.93 % (2014687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.57/0.93 % (2014687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.93 % (2014687)CaDiCaL version: 2.1.3
% 0.57/0.93 % (2014687)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.93 % (2014687)Time elapsed: 0.002 s
% 0.57/0.93 % (2014687)Peak memory usage: 88 MB
% 0.57/0.93 % (2014687)Instructions burned: 2 (million)
% 0.57/0.93 % (2014690)Also succeeded, but the first one will report.
% 0.57/0.93 % (2014688)Instruction limit reached!
% 0.57/0.93 % (2014688)------------------------------
% 0.57/0.93 % (2014688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.57/0.93 % (2014688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.93 % (2014688)CaDiCaL version: 2.1.3
% 0.57/0.93 % (2014688)Termination reason: Instruction limit
% 0.57/0.93 % (2014688)Termination phase: Saturation
% 0.57/0.93 % (2014688)Time elapsed: 0.073 s
% 0.57/0.93 % (2014688)Peak memory usage: 88 MB
% 0.57/0.93 % (2014688)Instructions burned: 120 (million)
% 0.57/0.93 % (2014689)Refutation found. Thanks to Tanya!
% 0.57/0.93 % SZS status Theorem for theBenchmark
% 0.57/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.11 % (2014689)------------------------------
% 2.47/1.11 % (2014689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.11 % (2014689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.11 % (2014689)CaDiCaL version: 2.1.3
% 2.47/1.11 % (2014689)Termination reason: Refutation
% 2.47/1.11 % (2014689)Time elapsed: 0.016 s
% 2.47/1.11 % (2014689)Peak memory usage: 89 MB
% 2.47/1.11 % (2014689)Instructions burned: 41 (million)
% 2.47/1.11 % (2014689)------------------------------
% 2.47/1.11 % (2014689)------------------------------
% 2.47/1.11 % (2014679)Success in time 0.295 s
% 2.47/1.11 % Vampire exiting
%------------------------------------------------------------------------------