%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU178+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 : n018.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 12:47:35 PM UTC 2026
% Result : Theorem 0.18s 1.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 193 ( 28 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 236 ( 90 ~; 90 |; 38 &)
% ( 13 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 142 ( 115 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : X1 != ordered_pair(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,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(f6,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(f30,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f32,conjecture,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f42,plain,
? [X0] :
( ~ subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
& relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0] :
( relation(X0)
<=> ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X2,X3) = X1 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f49,plain,
( ~ subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))
& relation(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f42]) ).
fof(f51,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,[],[f43]) ).
fof(f52,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,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK2(X0,X1)),X0)
| ~ in(sK2(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0)
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK4(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f52]) ).
fof(f54,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,[],[f44]) ).
fof(f55,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,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK5(X0,X1),X3),X0)
| ~ in(sK5(X0,X1),X1) )
& ( in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK7(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X7,sK7(X0,X5))],[f55]) ).
fof(f57,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,[],[f45]) ).
fof(f58,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,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( relation(X0)
| ( in(sK8(X0),X0)
& ! [X2,X3] : ordered_pair(X2,X3) != sK8(X0) ) )
& ( ! [X4] :
( ~ in(X4,X0)
| ordered_pair(sK9(X4),sK10(X4)) = X4 )
| ~ relation(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X5,sK9(X4)),skolemize(X6,sK10(X4))],[f58]) ).
fof(f61,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,[],[f46]) ).
fof(f62,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,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f62]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
relation(sK0),
inference(cnf_transformation,[],[f49]) ).
fof(f67,plain,
~ subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(cnf_transformation,[],[f49]) ).
fof(f71,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f75,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f78,plain,
! [X0,X4] :
( ~ in(X4,X0)
| ordered_pair(sK9(X4),sK10(X4)) = X4
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f85,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f86,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f91,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f71]) ).
fof(f93,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f75]) ).
fof(f99,plain,
in(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),sK0),
inference(unit_resulting_resolution,[],[f85,f67]) ).
fof(f100,plain,
~ in(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(unit_resulting_resolution,[],[f86,f67]) ).
fof(f118,plain,
sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))) = ordered_pair(sK9(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),sK10(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))))),
inference(unit_resulting_resolution,[],[f78,f66,f99]) ).
fof(f177,plain,
! [X0] :
( in(sK9(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(X0))
| ~ in(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),X0)
| ~ relation(X0) ),
inference(superposition,[],[f93,f118]) ).
fof(f178,plain,
! [X0] :
( in(sK10(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(X0))
| ~ in(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),X0)
| ~ relation(X0) ),
inference(superposition,[],[f91,f118]) ).
fof(f199,plain,
in(sK9(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(sK0)),
inference(unit_resulting_resolution,[],[f177,f66,f99]) ).
fof(f200,plain,
in(sK10(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(sK0)),
inference(unit_resulting_resolution,[],[f178,f66,f99]) ).
fof(f246,plain,
in(ordered_pair(sK9(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),sK10(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))))),cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(unit_resulting_resolution,[],[f89,f199,f200]) ).
fof(f265,plain,
in(sK11(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
inference(forward_demodulation,[],[f246,f118]) ).
fof(f266,plain,
$false,
inference(forward_subsumption_resolution,[],[f265,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU178+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:56:39 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.78/1.31 % (2980085)Detected formulas, will run a generic FOF schedule.
% 2.78/1.31 % (2980094)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=325591382:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.78/1.31 % (2980091)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=2113220572:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.78/1.31 % (2980093)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3365798529:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.78/1.31 % (2980090)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=1788790719:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.78/1.31 % (2980092)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=50047272:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.78/1.31 % (2980094)Instruction limit reached!
% 2.78/1.31 % (2980094)------------------------------
% 2.78/1.31 % (2980094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.31 % (2980094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.31 % (2980094)CaDiCaL version: 2.1.3
% 2.78/1.31 % (2980094)Termination reason: Instruction limit
% 2.78/1.31 % (2980094)Termination phase: Saturation
% 2.78/1.31 % (2980094)Time elapsed: 0.041 s
% 2.78/1.31 % (2980094)Peak memory usage: 88 MB
% 2.78/1.31 % (2980094)Instructions burned: 121 (million)
% 2.78/1.31 % (2980093)Refutation not found, incomplete strategy
% 2.78/1.31 % (2980093)------------------------------
% 2.78/1.31 % (2980093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.31 % (2980093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.31 % (2980093)CaDiCaL version: 2.1.3
% 2.78/1.31 % (2980093)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.31 % (2980093)Time elapsed: 0.002 s
% 2.78/1.31 % (2980093)Peak memory usage: 88 MB
% 2.78/1.31 % (2980093)Instructions burned: 2 (million)
% 2.78/1.31 % (2980095)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4258927664:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.78/1.31 % (2980096)dis-21_1_sil=8000:lcm=predicate:random_seed=2201163470: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)
% 2.78/1.31 % (2980095)Instruction limit reached!
% 2.78/1.31 % (2980095)------------------------------
% 2.78/1.31 % (2980095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.31 % (2980095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.31 % (2980095)CaDiCaL version: 2.1.3
% 2.78/1.31 % (2980095)Termination reason: Instruction limit
% 2.78/1.31 % (2980095)Termination phase: Saturation
% 2.78/1.31 % (2980095)Time elapsed: 0.052 s
% 2.78/1.31 % (2980095)Peak memory usage: 90 MB
% 2.78/1.31 % (2980095)Instructions burned: 141 (million)
% 2.78/1.31 % (2980096)Instruction limit reached!
% 2.78/1.31 % (2980096)------------------------------
% 2.78/1.31 % (2980096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.31 % (2980096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.31 % (2980096)CaDiCaL version: 2.1.3
% 2.78/1.31 % (2980096)Termination reason: Instruction limit
% 2.78/1.31 % (2980096)Termination phase: Saturation
% 2.78/1.31 % (2980096)Time elapsed: 0.093 s
% 2.78/1.31 % (2980096)Peak memory usage: 89 MB
% 2.78/1.31 % (2980096)Instructions burned: 130 (million)
% 2.78/1.31 % (2980105)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4057592292:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.78/1.31 % (2980105)First to succeed.
% 2.78/1.31 % (2980105)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2980085"
% 2.78/1.31 % (2980102)lrs+10_1_sil=8000:sp=occurrence:random_seed=3779770793:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.78/1.31 % (2980102)Also succeeded, but the first one will report.
% 2.78/1.31 % (2980093)------------------------------
% 2.78/1.31 % (2980093)------------------------------
% 2.78/1.31 % (2980106)lrs+1011_1_sil=32000:sp=occurrence:random_seed=883063229:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 0.18/1.40 % (2980105)Refutation found. Thanks to Tanya!
% 0.18/1.40 % SZS status Theorem for theBenchmark
% 0.18/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.40 % (2980105)------------------------------
% 0.18/1.40 % (2980105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.40 % (2980105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.40 % (2980105)CaDiCaL version: 2.1.3
% 0.18/1.40 % (2980105)Termination reason: Refutation
% 0.18/1.40 % (2980105)Time elapsed: 0.005 s
% 0.18/1.40 % (2980105)Peak memory usage: 89 MB
% 0.18/1.40 % (2980105)Instructions burned: 13 (million)
% 0.18/1.40 % (2980105)------------------------------
% 0.18/1.40 % (2980105)------------------------------
% 0.18/1.40 % (2980085)Success in time 0.454 s
% 0.18/1.40 % Vampire exiting
%------------------------------------------------------------------------------