%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU340+2 : 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 : n017.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 12:48:25 PM UTC 2026
% Result : Theorem 8.03s 2.19s
% Output : Refutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 21 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 255 ( 89 ~; 83 |; 54 &)
% ( 8 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 126 ( 112 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f101,axiom,
! [X0] :
( rel_str(X0)
=> ( transitive_relstr(X0)
<=> is_transitive_in(the_InternalRel(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_orders_2) ).
fof(f121,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( ( in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) )
=> in(ordered_pair(X2,X4),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_2) ).
fof(f125,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f185,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f187,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f280,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f287,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',l55_zfmisc_1) ).
fof(f456,conjecture,
! [X0] :
( ( transitive_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X3) )
=> related(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_orders_2) ).
fof(f457,negated_conjecture,
~ ! [X0] :
( ( transitive_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X3) )
=> related(X0,X1,X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f456]) ).
fof(f650,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f732,plain,
! [X0] :
( ( transitive_relstr(X0)
<=> is_transitive_in(the_InternalRel(X0),the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f753,plain,
! [X0] :
( ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f121]) ).
fof(f754,plain,
! [X0] :
( ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f753]) ).
fof(f760,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f797,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f185]) ).
fof(f799,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f187]) ).
fof(f888,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f280]) ).
fof(f1112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ related(X0,X1,X3)
& related(X0,X1,X2)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& transitive_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f457]) ).
fof(f1113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ related(X0,X1,X3)
& related(X0,X1,X2)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& transitive_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f1112]) ).
fof(f1494,plain,
! [X0] :
( ( ( transitive_relstr(X0)
| ~ is_transitive_in(the_InternalRel(X0),the_carrier(X0)) )
& ( is_transitive_in(the_InternalRel(X0),the_carrier(X0))
| ~ transitive_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f732]) ).
fof(f1531,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ? [X2,X3,X4] :
( ~ in(ordered_pair(X2,X4),X0)
& in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f754]) ).
fof(f1532,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ? [X2,X3,X4] :
( ~ in(ordered_pair(X2,X4),X0)
& in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X5,X6,X7] :
( in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X6,X7),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f1531]) ).
fof(f1533,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ( ~ in(ordered_pair(sK155(X0,X1),sK157(X0,X1)),X0)
& in(sK155(X0,X1),X1)
& in(sK156(X0,X1),X1)
& in(sK157(X0,X1),X1)
& in(ordered_pair(sK155(X0,X1),sK156(X0,X1)),X0)
& in(ordered_pair(sK156(X0,X1),sK157(X0,X1)),X0) ) )
& ( ! [X5,X6,X7] :
( in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X6,X7),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155,sK156,sK157]),skolemize(X2,sK155(X0,X1)),skolemize(X3,sK156(X0,X1)),skolemize(X4,sK157(X0,X1))],[f1532]) ).
fof(f1538,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f760]) ).
fof(f1567,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,[],[f287]) ).
fof(f1568,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,[],[f1567]) ).
fof(f1881,plain,
( ~ related(sK459,sK460,sK462)
& related(sK459,sK460,sK461)
& related(sK459,sK461,sK462)
& element(sK462,the_carrier(sK459))
& element(sK461,the_carrier(sK459))
& element(sK460,the_carrier(sK459))
& transitive_relstr(sK459)
& rel_str(sK459) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK459,sK460,sK461,sK462]),skolemize(X0,sK459),skolemize(X1,sK460),skolemize(X2,sK461),skolemize(X3,sK462)],[f1113]) ).
fof(f1972,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f650]) ).
fof(f2289,plain,
! [X0] :
( is_transitive_in(the_InternalRel(X0),the_carrier(X0))
| ~ transitive_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1494]) ).
fof(f2364,plain,
! [X0,X1,X6,X7,X5] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| in(ordered_pair(X5,X7),X0)
| ~ is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f1533]) ).
fof(f2378,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1538]) ).
fof(f2379,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1538]) ).
fof(f2413,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f797]) ).
fof(f2417,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f799]) ).
fof(f2596,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f888]) ).
fof(f2614,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f1568]) ).
fof(f2615,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f1568]) ).
fof(f3326,plain,
rel_str(sK459),
inference(cnf_transformation,[],[f1881]) ).
fof(f3327,plain,
transitive_relstr(sK459),
inference(cnf_transformation,[],[f1881]) ).
fof(f3328,plain,
element(sK460,the_carrier(sK459)),
inference(cnf_transformation,[],[f1881]) ).
fof(f3329,plain,
element(sK461,the_carrier(sK459)),
inference(cnf_transformation,[],[f1881]) ).
fof(f3330,plain,
element(sK462,the_carrier(sK459)),
inference(cnf_transformation,[],[f1881]) ).
fof(f3331,plain,
related(sK459,sK461,sK462),
inference(cnf_transformation,[],[f1881]) ).
fof(f3332,plain,
related(sK459,sK460,sK461),
inference(cnf_transformation,[],[f1881]) ).
fof(f3333,plain,
~ related(sK459,sK460,sK462),
inference(cnf_transformation,[],[f1881]) ).
fof(f3816,plain,
is_transitive_in(the_InternalRel(sK459),the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2289,f3326,f3327]) ).
fof(f3818,plain,
relation_of2_as_subset(the_InternalRel(sK459),the_carrier(sK459),the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2417,f3326]) ).
fof(f3820,plain,
in(ordered_pair(sK460,sK461),the_InternalRel(sK459)),
inference(unit_resulting_resolution,[],[f2378,f3326,f3328,f3332,f3329]) ).
fof(f3821,plain,
in(ordered_pair(sK461,sK462),the_InternalRel(sK459)),
inference(unit_resulting_resolution,[],[f2378,f3326,f3329,f3331,f3330]) ).
fof(f3822,plain,
~ in(ordered_pair(sK460,sK462),the_InternalRel(sK459)),
inference(unit_resulting_resolution,[],[f2379,f3326,f3328,f3333,f3330]) ).
fof(f3852,plain,
element(the_InternalRel(sK459),powerset(cartesian_product2(the_carrier(sK459),the_carrier(sK459)))),
inference(unit_resulting_resolution,[],[f2413,f3818]) ).
fof(f3858,plain,
in(ordered_pair(sK460,sK461),cartesian_product2(the_carrier(sK459),the_carrier(sK459))),
inference(unit_resulting_resolution,[],[f2596,f3820,f3852]) ).
fof(f3859,plain,
in(ordered_pair(sK461,sK462),cartesian_product2(the_carrier(sK459),the_carrier(sK459))),
inference(unit_resulting_resolution,[],[f2596,f3821,f3852]) ).
fof(f4241,plain,
relation(the_InternalRel(sK459)),
inference(unit_resulting_resolution,[],[f1972,f3852]) ).
fof(f4749,plain,
in(sK461,the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2614,f3858]) ).
fof(f4750,plain,
in(sK462,the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2614,f3859]) ).
fof(f4789,plain,
in(sK460,the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2615,f3858]) ).
fof(f5226,plain,
$false,
inference(unit_resulting_resolution,[],[f2364,f4241,f4750,f3816,f3822,f3821,f3820,f4749,f4789]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU340+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 28 04:43:35 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 8.03/2.19 % (3210503)Detected formulas, will run a generic FOF schedule.
% 8.03/2.19 % (3210511)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1168630798:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.03/2.19 % (3210512)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3673662835:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.03/2.19 % (3210511)Instruction limit reached!
% 8.03/2.19 % (3210511)------------------------------
% 8.03/2.19 % (3210511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210511)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210511)Termination reason: Instruction limit
% 8.03/2.19 % (3210511)Termination phase: Saturation
% 8.03/2.19 % (3210511)Time elapsed: 0.056 s
% 8.03/2.19 % (3210511)Peak memory usage: 91 MB
% 8.03/2.19 % (3210511)Instructions burned: 110 (million)
% 8.03/2.19 % (3210509)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=1050229124:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.03/2.19 % (3210510)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=2919586863:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.03/2.19 % (3210508)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=1116151005:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.03/2.19 % (3210513)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1579580485:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.03/2.19 % (3210514)dis-21_1_sil=8000:lcm=predicate:random_seed=3175435883: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)
% 8.03/2.19 % (3210512)Instruction limit reached!
% 8.03/2.19 % (3210512)------------------------------
% 8.03/2.19 % (3210512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210512)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210512)Termination reason: Instruction limit
% 8.03/2.19 % (3210512)Termination phase: Saturation
% 8.03/2.19 % (3210512)Time elapsed: 0.112 s
% 8.03/2.19 % (3210512)Peak memory usage: 91 MB
% 8.03/2.19 % (3210512)Instructions burned: 120 (million)
% 8.03/2.19 % (3210514)Instruction limit reached!
% 8.03/2.19 % (3210514)------------------------------
% 8.03/2.19 % (3210514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210514)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210514)Termination reason: Instruction limit
% 8.03/2.19 % (3210514)Termination phase: Saturation
% 8.03/2.19 % (3210514)Time elapsed: 0.112 s
% 8.03/2.19 % (3210514)Peak memory usage: 91 MB
% 8.03/2.19 % (3210514)Instructions burned: 130 (million)
% 8.03/2.19 % (3210513)Instruction limit reached!
% 8.03/2.19 % (3210513)------------------------------
% 8.03/2.19 % (3210513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210513)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210513)Termination reason: Instruction limit
% 8.03/2.19 % (3210513)Termination phase: Saturation
% 8.03/2.19 % (3210513)Time elapsed: 0.139 s
% 8.03/2.19 % (3210513)Peak memory usage: 92 MB
% 8.03/2.19 % (3210513)Instructions burned: 139 (million)
% 8.03/2.19 % (3210517)lrs+10_1_sil=8000:sp=occurrence:random_seed=3985875610:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.03/2.19 % (3210523)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1262520907:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.03/2.19 % (3210523)Refutation not found, incomplete strategy
% 8.03/2.19 % (3210523)------------------------------
% 8.03/2.19 % (3210523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210523)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210523)Termination reason: Refutation not found, incomplete strategy
% 8.03/2.19 % (3210523)Time elapsed: 0.010 s
% 8.03/2.19 % (3210523)Peak memory usage: 89 MB
% 8.03/2.19 % (3210523)Instructions burned: 9 (million)
% 8.03/2.19 % (3210517)Instruction limit reached!
% 8.03/2.19 % (3210517)------------------------------
% 8.03/2.19 % (3210517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210517)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210517)Termination reason: Instruction limit
% 8.03/2.19 % (3210517)Termination phase: Saturation
% 8.03/2.19 % (3210517)Time elapsed: 0.161 s
% 8.03/2.19 % (3210517)Peak memory usage: 95 MB
% 8.03/2.19 % (3210517)Instructions burned: 285 (million)
% 8.03/2.19 % (3210525)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=835544221:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.03/2.19 % (3210524)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2075766197:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.03/2.19 % (3210525)First to succeed.
% 8.03/2.19 % (3210525)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3210503"
% 8.03/2.19 % (3210528)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=469439440:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.03/2.19 % (3210523)------------------------------
% 8.03/2.19 % (3210523)------------------------------
% 8.03/2.19 % (3210524)Instruction limit reached!
% 8.03/2.19 % (3210524)------------------------------
% 8.03/2.19 % (3210524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210524)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210524)Termination reason: Instruction limit
% 8.03/2.19 % (3210524)Termination phase: Saturation
% 8.03/2.19 % (3210524)Time elapsed: 0.341 s
% 8.03/2.19 % (3210524)Peak memory usage: 95 MB
% 8.03/2.19 % (3210524)Instructions burned: 326 (million)
% 8.03/2.19 % (3210528)Instruction limit reached!
% 8.03/2.19 % (3210528)------------------------------
% 8.03/2.19 % (3210528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.19 % (3210528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.19 % (3210528)CaDiCaL version: 2.1.3
% 8.03/2.19 % (3210528)Termination reason: Instruction limit
% 8.03/2.19 % (3210528)Termination phase: Saturation
% 8.03/2.19 % (3210528)Time elapsed: 0.201 s
% 8.03/2.19 % (3210528)Peak memory usage: 93 MB
% 8.03/2.19 % (3210528)Instructions burned: 295 (million)
% 8.03/2.19 % (3210525)Refutation found. Thanks to Tanya!
% 8.03/2.19 % SZS status Theorem for theBenchmark
% 8.03/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 8.83/2.50 % (3210525)------------------------------
% 8.83/2.50 % (3210525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.50 % (3210525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.50 % (3210525)CaDiCaL version: 2.1.3
% 8.83/2.50 % (3210525)Termination reason: Refutation
% 8.83/2.50 % (3210525)Time elapsed: 0.116 s
% 8.83/2.50 % (3210525)Peak memory usage: 92 MB
% 8.83/2.50 % (3210525)Instructions burned: 118 (million)
% 8.83/2.50 % (3210525)------------------------------
% 8.83/2.50 % (3210525)------------------------------
% 8.83/2.50 % (3210503)Success in time 1.157 s
% 8.83/2.50 % Vampire exiting
%------------------------------------------------------------------------------