%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU182+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 : 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 12:47:37 PM UTC 2026
% Result : Theorem 3.72s 1.49s
% Output : Refutation 5.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 220 ( 19 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 287 ( 113 ~; 117 |; 37 &)
% ( 10 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-4 aty)
% Number of variables : 143 ( 121 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f4,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] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f13,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f30,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_relat_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( ~ subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f43,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f45,plain,
( ~ subset(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0))
& relation(sK1)
& relation(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f39]) ).
fof(f46,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,[],[f40]) ).
fof(f47,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,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK2(X0,X1),X3),X0)
| ~ in(sK2(X0,X1),X1) )
& ( in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK4(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(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))],[f47]) ).
fof(f50,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,[],[f41]) ).
fof(f51,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,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f51]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) ) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X3,X6),X0)
& in(ordered_pair(X6,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ? [X10] :
( in(ordered_pair(X7,X10),X0)
& in(ordered_pair(X10,X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK7(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK8(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK7(X0,X1,X2),sK9(X0,X1,X2)),X0)
& in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X1) )
| in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ( in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X2)),skolemize(X10,sK10(X0,X1,X7,X8))],[f55]) ).
fof(f57,plain,
relation(sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f58,plain,
relation(sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f59,plain,
~ subset(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),
inference(cnf_transformation,[],[f45]) ).
fof(f60,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK4(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f61,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f68,plain,
! [X0,X1] :
( in(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f69,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f71,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f73,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f78,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f61]) ).
fof(f79,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK4(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f60]) ).
fof(f81,plain,
! [X0,X1,X8,X7] :
( ~ relation(relation_composition(X0,X1))
| ~ in(ordered_pair(X7,X8),relation_composition(X0,X1))
| in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f73]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),relation_composition(X2,X3))
| in(ordered_pair(X0,sK10(X2,X3,X0,X1)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X2)
| ~ relation(X3) ),
inference(resolution,[],[f81,f71]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),relation_composition(X2,X3))
| in(ordered_pair(X0,sK10(X2,X3,X0,X1)),X2)
| ~ relation(X3)
| ~ relation(X2) ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f93,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,sK10(X1,X2,X0,sK4(relation_composition(X1,X2),X0))),X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ relation(relation_composition(X1,X2)) ),
inference(resolution,[],[f92,f79]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ relation(X2)
| ~ relation(X1)
| in(ordered_pair(X0,sK10(X1,X2,X0,sK4(relation_composition(X1,X2),X0))),X1) ),
inference(forward_subsumption_resolution,[],[f93,f71]) ).
fof(f227,plain,
! [X2,X0,X1] :
( subset(relation_dom(relation_composition(X1,X0)),X2)
| ~ relation(X1)
| in(ordered_pair(sK5(relation_dom(relation_composition(X1,X0)),X2),sK10(X1,X0,sK5(relation_dom(relation_composition(X1,X0)),X2),sK4(relation_composition(X1,X0),sK5(relation_dom(relation_composition(X1,X0)),X2)))),X1)
| ~ relation(X0) ),
inference(resolution,[],[f94,f68]) ).
fof(f410,plain,
( ~ relation(sK0)
| in(ordered_pair(sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),sK10(sK0,sK1,sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),sK4(relation_composition(sK0,sK1),sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0))))),sK0)
| ~ relation(sK1) ),
inference(resolution,[],[f227,f59]) ).
fof(f412,plain,
( in(ordered_pair(sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),sK10(sK0,sK1,sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),sK4(relation_composition(sK0,sK1),sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0))))),sK0)
| ~ relation(sK1) ),
inference(forward_subsumption_resolution,[],[f410,f57]) ).
fof(f413,plain,
in(ordered_pair(sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),sK10(sK0,sK1,sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),sK4(relation_composition(sK0,sK1),sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0))))),sK0),
inference(forward_subsumption_resolution,[],[f412,f58]) ).
fof(f415,plain,
( in(sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),relation_dom(sK0))
| ~ relation(sK0) ),
inference(resolution,[],[f413,f78]) ).
fof(f416,plain,
in(sK5(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),relation_dom(sK0)),
inference(forward_subsumption_resolution,[],[f415,f57]) ).
fof(f422,plain,
subset(relation_dom(relation_composition(sK0,sK1)),relation_dom(sK0)),
inference(resolution,[],[f416,f69]) ).
fof(f423,plain,
$false,
inference(forward_subsumption_resolution,[],[f422,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU182+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 03:55:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 3.72/1.49 % (4135398)Detected formulas, will run a generic FOF schedule.
% 3.72/1.49 % (4135409)dis-21_1_sil=8000:lcm=predicate:random_seed=1826905471: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)
% 3.72/1.49 % (4135409)Instruction limit reached!
% 3.72/1.49 % (4135409)------------------------------
% 3.72/1.49 % (4135409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135409)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135409)Termination reason: Instruction limit
% 3.72/1.49 % (4135409)Termination phase: Saturation
% 3.72/1.49 % (4135409)Time elapsed: 0.043 s
% 3.72/1.49 % (4135409)Peak memory usage: 90 MB
% 3.72/1.49 % (4135409)Instructions burned: 130 (million)
% 3.72/1.49 % (4135408)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2785191756:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.72/1.49 % (4135407)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=960566157:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.72/1.49 % (4135403)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=3594496002:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.72/1.49 % (4135406)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2152935170:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.72/1.49 % (4135405)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=951418929:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.72/1.49 % (4135404)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=3275128499:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.72/1.49 % (4135406)Refutation not found, incomplete strategy
% 3.72/1.49 % (4135406)------------------------------
% 3.72/1.49 % (4135406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135406)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135406)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.49 % (4135406)Time elapsed: 0.002 s
% 3.72/1.49 % (4135406)Peak memory usage: 88 MB
% 3.72/1.49 % (4135406)Instructions burned: 2 (million)
% 3.72/1.49 % (4135407)Instruction limit reached!
% 3.72/1.49 % (4135407)------------------------------
% 3.72/1.49 % (4135407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135407)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135407)Termination reason: Instruction limit
% 3.72/1.49 % (4135407)Termination phase: Saturation
% 3.72/1.49 % (4135407)Time elapsed: 0.072 s
% 3.72/1.49 % (4135407)Peak memory usage: 88 MB
% 3.72/1.49 % (4135407)Instructions burned: 119 (million)
% 3.72/1.49 % (4135417)lrs+10_1_sil=8000:sp=occurrence:random_seed=3258603019:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.72/1.49 % (4135408)Instruction limit reached!
% 3.72/1.49 % (4135408)------------------------------
% 3.72/1.49 % (4135408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135408)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135408)Termination reason: Instruction limit
% 3.72/1.49 % (4135408)Termination phase: Saturation
% 3.72/1.49 % (4135408)Time elapsed: 0.089 s
% 3.72/1.49 % (4135408)Peak memory usage: 90 MB
% 3.72/1.49 % (4135408)Instructions burned: 139 (million)
% 3.72/1.49 % (4135417)Instruction limit reached!
% 3.72/1.49 % (4135417)------------------------------
% 3.72/1.49 % (4135417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135417)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135417)Termination reason: Instruction limit
% 3.72/1.49 % (4135417)Termination phase: Saturation
% 3.72/1.49 % (4135417)Time elapsed: 0.092 s
% 3.72/1.49 % (4135417)Peak memory usage: 91 MB
% 3.72/1.49 % (4135417)Instructions burned: 288 (million)
% 3.72/1.49 % (4135418)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1184013386:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.72/1.49 % (4135420)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1010704286:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.72/1.49 % (4135420)First to succeed.
% 3.72/1.49 % (4135420)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4135398"
% 3.72/1.49 % (4135406)------------------------------
% 3.72/1.49 % (4135406)------------------------------
% 3.72/1.49 % (4135421)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=2074962730:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.72/1.49 % (4135418)Instruction limit reached!
% 3.72/1.49 % (4135418)------------------------------
% 3.72/1.49 % (4135418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135418)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135418)Termination reason: Instruction limit
% 3.72/1.49 % (4135418)Termination phase: Saturation
% 3.72/1.49 % (4135418)Time elapsed: 0.079 s
% 3.72/1.49 % (4135418)Peak memory usage: 92 MB
% 3.72/1.49 % (4135418)Instructions burned: 157 (million)
% 3.72/1.49 % (4135421)Instruction limit reached!
% 3.72/1.49 % (4135421)------------------------------
% 3.72/1.49 % (4135421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135421)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135421)Termination reason: Instruction limit
% 3.72/1.49 % (4135421)Termination phase: Saturation
% 3.72/1.49 % (4135421)Time elapsed: 0.073 s
% 3.72/1.49 % (4135421)Peak memory usage: 95 MB
% 3.72/1.49 % (4135421)Instructions burned: 252 (million)
% 3.72/1.49 % (4135424)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=447543086:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.72/1.49 % (4135424)Refutation not found, incomplete strategy
% 3.72/1.49 % (4135424)------------------------------
% 3.72/1.49 % (4135424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135424)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135424)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.49 % (4135424)Time elapsed: 0.002 s
% 3.72/1.49 % (4135424)Peak memory usage: 88 MB
% 3.72/1.49 % (4135424)Instructions burned: 2 (million)
% 3.72/1.49 % (4135426)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3712324241:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.72/1.49 % (4135427)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2664502527:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 3.72/1.49 % (4135427)Instruction limit reached!
% 3.72/1.49 % (4135427)------------------------------
% 3.72/1.49 % (4135427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.49 % (4135427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.49 % (4135427)CaDiCaL version: 2.1.3
% 3.72/1.49 % (4135427)Termination reason: Instruction limit
% 3.72/1.49 % (4135427)Termination phase: Saturation
% 3.72/1.49 % (4135427)Time elapsed: 0.040 s
% 3.72/1.49 % (4135427)Peak memory usage: 90 MB
% 3.72/1.49 % (4135427)Instructions burned: 113 (million)
% 3.72/1.49 % (4135420)Refutation found. Thanks to Tanya!
% 3.72/1.49 % SZS status Theorem for theBenchmark
% 3.72/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 5.13/1.68 % (4135420)------------------------------
% 5.13/1.68 % (4135420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.68 % (4135420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.68 % (4135420)CaDiCaL version: 2.1.3
% 5.13/1.68 % (4135420)Termination reason: Refutation
% 5.13/1.68 % (4135420)Time elapsed: 0.027 s
% 5.13/1.68 % (4135420)Peak memory usage: 89 MB
% 5.13/1.68 % (4135420)Instructions burned: 40 (million)
% 5.13/1.68 % (4135420)------------------------------
% 5.13/1.68 % (4135420)------------------------------
% 5.13/1.68 % (4135398)Success in time 0.649 s
% 5.13/1.68 % Vampire exiting
%------------------------------------------------------------------------------