%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU178+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 : 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 12:47:36 PM UTC 2026
% Result : Theorem 3.01s 1.50s
% Output : Refutation 5.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 10 unt; 0 def)
% Number of atoms : 246 ( 51 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 314 ( 118 ~; 121 |; 56 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-3 aty)
% Number of variables : 181 ( 142 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : X1 != ordered_pair(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_1) ).
fof(f15,axiom,
! [X0,X1,X2] :
( X2 = cartesian_product2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f16,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,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(f22,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f97,conjecture,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f98,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(negated_conjecture,[status(cth)],[f97]) ).
fof(f148,plain,
? [X0] :
( ~ subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
& relation(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f151,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f156,plain,
! [X0] :
( relation(X0)
<=> ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X2,X3) = X1 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f162,plain,
( ~ subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))
& relation(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f148]) ).
fof(f163,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,[],[f151]) ).
fof(f164,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,[],[f163]) ).
fof(f165,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f164]) ).
fof(f169,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,[],[f154]) ).
fof(f170,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,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK3(X0,X1)),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK5(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(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))],[f170]) ).
fof(f172,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,[],[f155]) ).
fof(f173,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,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK6(X0,X1),X3),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK8(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0,X1)),skolemize(X4,sK7(X0,X1)),skolemize(X7,sK8(X0,X5))],[f173]) ).
fof(f175,plain,
! [X0] :
( ( relation(X0)
| ? [X1] :
( in(X1,X0)
& ! [X2,X3] : ordered_pair(X2,X3) != X1 ) )
& ( ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X2,X3) = X1 )
| ~ relation(X0) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f176,plain,
! [X0] :
( ( relation(X0)
| ? [X1] :
( in(X1,X0)
& ! [X2,X3] : ordered_pair(X2,X3) != X1 ) )
& ( ! [X4] :
( ~ in(X4,X0)
| ? [X5,X6] : ordered_pair(X5,X6) = X4 )
| ~ relation(X0) ) ),
inference(rectify,[],[f175]) ).
fof(f177,plain,
! [X0] :
( ( relation(X0)
| ( in(sK9(X0),X0)
& ! [X2,X3] : ordered_pair(X2,X3) != sK9(X0) ) )
& ( ! [X4] :
( ~ in(X4,X0)
| ordered_pair(sK10(X4),sK11(X4)) = X4 )
| ~ relation(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X1,sK9(X0)),skolemize(X5,sK10(X4)),skolemize(X6,sK11(X4))],[f176]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ? [X3] :
( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,X2) )
& ( ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 ) )
& ( ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) )
| ~ in(X3,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ? [X3] :
( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,X2) )
& ( ? [X6,X7] :
( in(X6,X0)
& in(X7,X1)
& ordered_pair(X6,X7) = X3 )
| in(X3,X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8 ) )
& ( ? [X11,X12] :
( in(X11,X0)
& in(X12,X1)
& ordered_pair(X11,X12) = X8 )
| ~ in(X8,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(rectify,[],[f182]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != sK12(X0,X1,X2) )
| ~ in(sK12(X0,X1,X2),X2) )
& ( ( in(sK13(X0,X1,X2),X0)
& in(sK14(X0,X1,X2),X1)
& sK12(X0,X1,X2) = ordered_pair(sK13(X0,X1,X2),sK14(X0,X1,X2)) )
| in(sK12(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8 ) )
& ( ( in(sK15(X0,X1,X8),X0)
& in(sK16(X0,X1,X8),X1)
& ordered_pair(sK15(X0,X1,X8),sK16(X0,X1,X8)) = X8 )
| ~ in(X8,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X3,sK12(X0,X1,X2)),skolemize(X6,sK13(X0,X1,X2)),skolemize(X7,sK14(X0,X1,X2)),skolemize(X11,sK15(X0,X1,X8)),skolemize(X12,sK16(X0,X1,X8))],[f183]) ).
fof(f185,plain,
relation(sK0),
inference(cnf_transformation,[],[f162]) ).
fof(f186,plain,
~ subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(cnf_transformation,[],[f162]) ).
fof(f190,plain,
! [X0,X1] :
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f191,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f200,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f204,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f207,plain,
! [X0,X4] :
( ~ in(X4,X0)
| ordered_pair(sK10(X4),sK11(X4)) = X4
| ~ relation(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f223,plain,
! [X2,X10,X0,X1,X8,X9] :
( in(X8,X2)
| ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f230,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f200]) ).
fof(f232,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f204]) ).
fof(f234,plain,
! [X2,X10,X0,X1,X9] :
( in(ordered_pair(X9,X10),X2)
| ~ in(X9,X0)
| ~ in(X10,X1)
| cartesian_product2(X0,X1) != X2 ),
inference(equality_resolution,[],[f223]) ).
fof(f235,plain,
! [X10,X0,X1,X9] :
( in(ordered_pair(X9,X10),cartesian_product2(X0,X1))
| ~ in(X9,X0)
| ~ in(X10,X1) ),
inference(equality_resolution,[],[f234]) ).
fof(f239,plain,
in(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),sK0),
inference(unit_resulting_resolution,[],[f190,f186]) ).
fof(f240,plain,
~ in(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(unit_resulting_resolution,[],[f191,f186]) ).
fof(f270,plain,
sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))) = ordered_pair(sK10(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),sK11(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))))),
inference(unit_resulting_resolution,[],[f207,f185,f239]) ).
fof(f271,plain,
! [X0] :
( in(sK10(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(X0))
| ~ in(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),X0)
| ~ relation(X0) ),
inference(superposition,[],[f232,f270]) ).
fof(f272,plain,
! [X0] :
( in(sK11(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(X0))
| ~ in(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),X0)
| ~ relation(X0) ),
inference(superposition,[],[f230,f270]) ).
fof(f499,plain,
in(sK10(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(sK0)),
inference(unit_resulting_resolution,[],[f271,f185,f239]) ).
fof(f500,plain,
in(sK11(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(sK0)),
inference(unit_resulting_resolution,[],[f272,f185,f239]) ).
fof(f576,plain,
in(ordered_pair(sK10(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),sK11(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))))),cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(unit_resulting_resolution,[],[f235,f499,f500]) ).
fof(f604,plain,
in(sK1(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(forward_demodulation,[],[f576,f270]) ).
fof(f605,plain,
$false,
inference(forward_subsumption_resolution,[],[f604,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU178+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 03:54:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 3.01/1.50 % (4134574)Detected formulas, will run a generic FOF schedule.
% 3.01/1.50 % (4134582)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3801211264:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.01/1.50 % (4134580)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=2917460642:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.01/1.50 % (4134581)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=2019171853:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.01/1.50 % (4134579)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=3458295255:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.01/1.50 % (4134585)dis-21_1_sil=8000:lcm=predicate:random_seed=1761603846: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)
% 3.01/1.50 % (4134583)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=535683155:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.01/1.50 % (4134584)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3914893107:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.01/1.50 % (4134582)Instruction limit reached!
% 3.01/1.50 % (4134582)------------------------------
% 3.01/1.50 % (4134582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134582)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134582)Termination reason: Instruction limit
% 3.01/1.50 % (4134582)Termination phase: Saturation
% 3.01/1.50 % (4134582)Time elapsed: 0.040 s
% 3.01/1.50 % (4134582)Peak memory usage: 89 MB
% 3.01/1.50 % (4134582)Instructions burned: 111 (million)
% 3.01/1.50 % (4134583)Instruction limit reached!
% 3.01/1.50 % (4134583)------------------------------
% 3.01/1.50 % (4134583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134583)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134583)Termination reason: Instruction limit
% 3.01/1.50 % (4134583)Termination phase: Saturation
% 3.01/1.50 % (4134583)Time elapsed: 0.078 s
% 3.01/1.50 % (4134583)Peak memory usage: 88 MB
% 3.01/1.50 % (4134583)Instructions burned: 120 (million)
% 3.01/1.50 % (4134585)Instruction limit reached!
% 3.01/1.50 % (4134585)------------------------------
% 3.01/1.50 % (4134585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134585)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134585)Termination reason: Instruction limit
% 3.01/1.50 % (4134585)Termination phase: Saturation
% 3.01/1.50 % (4134585)Time elapsed: 0.081 s
% 3.01/1.50 % (4134585)Peak memory usage: 90 MB
% 3.01/1.50 % (4134585)Instructions burned: 129 (million)
% 3.01/1.50 % (4134584)Instruction limit reached!
% 3.01/1.50 % (4134584)------------------------------
% 3.01/1.50 % (4134584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134584)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134584)Termination reason: Instruction limit
% 3.01/1.50 % (4134584)Termination phase: Saturation
% 3.01/1.50 % (4134584)Time elapsed: 0.101 s
% 3.01/1.50 % (4134584)Peak memory usage: 89 MB
% 3.01/1.50 % (4134584)Instructions burned: 139 (million)
% 3.01/1.50 % (4134593)lrs+10_1_sil=8000:sp=occurrence:random_seed=1706112258:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.01/1.50 % (4134593)Instruction limit reached!
% 3.01/1.50 % (4134593)------------------------------
% 3.01/1.50 % (4134593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134593)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134593)Termination reason: Instruction limit
% 3.01/1.50 % (4134593)Termination phase: Saturation
% 3.01/1.50 % (4134593)Time elapsed: 0.095 s
% 3.01/1.50 % (4134593)Peak memory usage: 92 MB
% 3.01/1.50 % (4134593)Instructions burned: 285 (million)
% 3.01/1.50 % (4134594)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1429211147:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.01/1.50 % (4134595)lrs+1011_1_sil=32000:sp=occurrence:random_seed=188167267:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.01/1.50 % (4134594)First to succeed.
% 3.01/1.50 % (4134594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4134574"
% 3.01/1.50 % (4134596)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=2007971552:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.01/1.50 % (4134598)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1689578377:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.01/1.50 % (4134596)Instruction limit reached!
% 3.01/1.50 % (4134596)------------------------------
% 3.01/1.50 % (4134596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134596)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134596)Termination reason: Instruction limit
% 3.01/1.50 % (4134596)Termination phase: Saturation
% 3.01/1.50 % (4134596)Time elapsed: 0.145 s
% 3.01/1.50 % (4134596)Peak memory usage: 92 MB
% 3.01/1.50 % (4134596)Instructions burned: 249 (million)
% 3.01/1.50 % (4134598)Instruction limit reached!
% 3.01/1.50 % (4134598)------------------------------
% 3.01/1.50 % (4134598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134598)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134598)Termination reason: Instruction limit
% 3.01/1.50 % (4134598)Termination phase: Saturation
% 3.01/1.50 % (4134598)Time elapsed: 0.100 s
% 3.01/1.50 % (4134598)Peak memory usage: 90 MB
% 3.01/1.50 % (4134598)Instructions burned: 296 (million)
% 3.01/1.50 % (4134595)Instruction limit reached!
% 3.01/1.50 % (4134595)------------------------------
% 3.01/1.50 % (4134595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.50 % (4134595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.50 % (4134595)CaDiCaL version: 2.1.3
% 3.01/1.50 % (4134595)Termination reason: Instruction limit
% 3.01/1.50 % (4134595)Termination phase: Saturation
% 3.01/1.50 % (4134595)Time elapsed: 0.229 s
% 3.01/1.50 % (4134595)Peak memory usage: 92 MB
% 3.01/1.50 % (4134595)Instructions burned: 326 (million)
% 3.01/1.50 % (4134594)Refutation found. Thanks to Tanya!
% 3.01/1.50 % SZS status Theorem for theBenchmark
% 3.01/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 5.25/1.65 % (4134594)------------------------------
% 5.25/1.65 % (4134594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.65 % (4134594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.65 % (4134594)CaDiCaL version: 2.1.3
% 5.25/1.65 % (4134594)Termination reason: Refutation
% 5.25/1.65 % (4134594)Time elapsed: 0.017 s
% 5.25/1.65 % (4134594)Peak memory usage: 89 MB
% 5.25/1.65 % (4134594)Instructions burned: 25 (million)
% 5.25/1.65 % (4134594)------------------------------
% 5.25/1.65 % (4134594)------------------------------
% 5.25/1.65 % (4134574)Success in time 0.667 s
% 5.25/1.65 % Vampire exiting
%------------------------------------------------------------------------------