%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU236+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:47:56 PM UTC 2026
% Result : Theorem 3.85s 1.57s
% Output : Refutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 98 ( 14 unt; 3 def)
% Number of atoms : 320 ( 27 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 368 ( 146 ~; 154 |; 43 &)
% ( 14 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 97 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f10,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f11,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f12,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f13,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f21,axiom,
! [X0] :
( ordinal(X0)
=> ( ~ empty(succ(X0))
& epsilon_transitive(succ(X0))
& epsilon_connected(succ(X0))
& ordinal(succ(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_ordinal1) ).
fof(f38,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f41,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f45,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,X1)
<=> ordinal_subset(succ(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_ordinal1) ).
fof(f46,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,X1)
<=> ordinal_subset(succ(X0),X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X2,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ( in(X0,X1)
<~> ordinal_subset(succ(X0),X1) )
& ordinal(X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f67,plain,
! [X0] :
( ( ~ empty(succ(X0))
& epsilon_transitive(succ(X0))
& epsilon_connected(succ(X0))
& ordinal(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f70,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f71,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f70]) ).
fof(f77,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f80,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f81,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(flattening,[],[f80]) ).
fof(f86,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f87,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ( ~ ordinal_subset(succ(X0),X1)
| ~ in(X0,X1) )
& ( ordinal_subset(succ(X0),X1)
| in(X0,X1) )
& ordinal(X1) )
& ordinal(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ( ~ ordinal_subset(succ(X0),X1)
| ~ in(X0,X1) )
& ( ordinal_subset(succ(X0),X1)
| in(X0,X1) )
& ordinal(X1) )
& ordinal(X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
( ( ~ ordinal_subset(succ(sK0),sK1)
| ~ in(sK0,sK1) )
& ( ordinal_subset(succ(sK0),sK1)
| in(sK0,sK1) )
& ordinal(sK1)
& ordinal(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f71]) ).
fof(f107,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f108,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK7(X0,X1) != X0
| ~ in(sK7(X0,X1),X1) )
& ( sK7(X0,X1) = X0
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f108]) ).
fof(f111,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,[],[f86]) ).
fof(f112,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,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK8(X0,X1),X1)
& in(sK8(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f112]) ).
fof(f114,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f115,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f114]) ).
fof(f116,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK9(X0),X0)
& in(sK9(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f115]) ).
fof(f125,plain,
ordinal(sK0),
inference(cnf_transformation,[],[f100]) ).
fof(f126,plain,
ordinal(sK1),
inference(cnf_transformation,[],[f100]) ).
fof(f127,plain,
( ordinal_subset(succ(sK0),sK1)
| in(sK0,sK1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f128,plain,
( ~ ordinal_subset(succ(sK0),sK1)
| ~ in(sK0,sK1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f131,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f132,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f137,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f139,plain,
! [X0,X1] :
( ~ ordinal_subset(X0,X1)
| subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f140,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f168,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f173,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f178,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f185,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f186,plain,
! [X0,X1] :
( in(sK8(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f187,plain,
! [X0,X1] :
( ~ in(sK8(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f188,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f219,plain,
( ~ ordinal_subset(set_union2(sK0,singleton(sK0)),sK1)
| ~ in(sK0,sK1) ),
inference(definition_unfolding,[],[f128,f137]) ).
fof(f220,plain,
( ordinal_subset(set_union2(sK0,singleton(sK0)),sK1)
| in(sK0,sK1) ),
inference(definition_unfolding,[],[f127,f137]) ).
fof(f221,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f131,f137]) ).
fof(f225,plain,
! [X0] :
( ordinal(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f132,f137]) ).
fof(f229,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f173]) ).
fof(f238,definition,
( spl18_3
<=> in(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f239,plain,
( ~ in(sK0,sK1)
| spl18_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( in(sK0,sK1)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl18_4
<=> ordinal_subset(set_union2(sK0,singleton(sK0)),sK1) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f243,plain,
( ~ ordinal_subset(set_union2(sK0,singleton(sK0)),sK1)
| spl18_4 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( ordinal_subset(set_union2(sK0,singleton(sK0)),sK1)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( spl18_3
| spl18_4 ),
inference(avatar_split_clause,[],[f220,f242,f238]) ).
fof(f246,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(avatar_split_clause,[],[f219,f242,f238]) ).
fof(f272,plain,
epsilon_transitive(sK1),
inference(resolution,[],[f168,f126]) ).
fof(f394,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| sK8(singleton(X0),X1) = X0 ),
inference(resolution,[],[f186,f229]) ).
fof(f400,plain,
( subset(sK0,sK1)
| ~ epsilon_transitive(sK1)
| ~ spl18_3 ),
inference(resolution,[],[f188,f240]) ).
fof(f403,plain,
( subset(sK0,sK1)
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f400,f272]) ).
fof(f446,definition,
( spl18_5
<=> ordinal(set_union2(sK0,singleton(sK0))) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f447,plain,
( ordinal(set_union2(sK0,singleton(sK0)))
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f448,plain,
( ~ ordinal(set_union2(sK0,singleton(sK0)))
| spl18_5 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f455,plain,
( ~ ordinal(sK0)
| spl18_5 ),
inference(resolution,[],[f448,f225]) ).
fof(f456,plain,
( $false
| spl18_5 ),
inference(forward_subsumption_resolution,[],[f455,f125]) ).
fof(f457,plain,
spl18_5,
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f460,plain,
( subset(set_union2(sK0,singleton(sK0)),sK1)
| ~ ordinal(set_union2(sK0,singleton(sK0)))
| ~ ordinal(sK1)
| ~ spl18_4 ),
inference(resolution,[],[f244,f139]) ).
fof(f461,plain,
( subset(set_union2(sK0,singleton(sK0)),sK1)
| ~ ordinal(sK1)
| ~ spl18_4
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f460,f447]) ).
fof(f462,plain,
( subset(set_union2(sK0,singleton(sK0)),sK1)
| ~ spl18_4
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f461,f126]) ).
fof(f466,plain,
! [X2,X0,X1] :
( ordinal_subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1)
| ~ ordinal(set_union2(X0,X2))
| ~ ordinal(X1) ),
inference(resolution,[],[f178,f140]) ).
fof(f475,plain,
( ! [X0] :
( ~ in(X0,set_union2(sK0,singleton(sK0)))
| in(X0,sK1) )
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f462,f185]) ).
fof(f481,plain,
( in(sK0,sK1)
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f475,f221]) ).
fof(f485,plain,
( $false
| spl18_3
| ~ spl18_4
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f481,f239]) ).
fof(f486,plain,
( spl18_3
| ~ spl18_4
| ~ spl18_5 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f720,plain,
( ~ subset(singleton(sK0),sK1)
| ~ subset(sK0,sK1)
| ~ ordinal(set_union2(sK0,singleton(sK0)))
| ~ ordinal(sK1)
| spl18_4 ),
inference(resolution,[],[f466,f243]) ).
fof(f729,plain,
( ~ subset(singleton(sK0),sK1)
| ~ ordinal(set_union2(sK0,singleton(sK0)))
| ~ ordinal(sK1)
| ~ spl18_3
| spl18_4 ),
inference(forward_subsumption_resolution,[],[f720,f403]) ).
fof(f730,plain,
( ~ subset(singleton(sK0),sK1)
| ~ ordinal(sK1)
| ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f729,f447]) ).
fof(f731,plain,
( ~ subset(singleton(sK0),sK1)
| ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f730,f126]) ).
fof(f732,plain,
( sK0 = sK8(singleton(sK0),sK1)
| ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f731,f394]) ).
fof(f784,plain,
( ~ in(sK0,sK1)
| subset(singleton(sK0),sK1)
| ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(superposition,[],[f187,f732]) ).
fof(f786,plain,
( subset(singleton(sK0),sK1)
| ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f784,f240]) ).
fof(f787,plain,
( $false
| ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f786,f731]) ).
fof(f788,plain,
( ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(avatar_contradiction_clause,[],[f787]) ).
cnf(s2,plain,
( spl18_3
| spl18_4 ),
inference(sat_conversion,[],[f245]) ).
cnf(s3,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(sat_conversion,[],[f246]) ).
cnf(s6,plain,
spl18_5,
inference(sat_conversion,[],[f457]) ).
cnf(s7,plain,
( spl18_3
| ~ spl18_4
| ~ spl18_5 ),
inference(sat_conversion,[],[f486]) ).
cnf(s16,plain,
( ~ spl18_3
| spl18_4
| ~ spl18_5 ),
inference(sat_conversion,[],[f788]) ).
cnf(s19,plain,
spl18_3,
inference(rat,[],[s2,s7,s6]) ).
cnf(s20,plain,
spl18_4,
inference(rat,[],[s16,s6,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s3,s20,s19]) ).
fof(f789,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU236+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.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
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 04:14:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.85/1.57 % (795618)Detected formulas, will run a generic FOF schedule.
% 3.85/1.57 % (795623)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=930245142:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.85/1.57 % (795624)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=3271419290:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.85/1.57 % (795627)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2212000859:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.85/1.57 % (795625)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=2552247851:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.85/1.57 % (795628)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2574404101:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.85/1.57 % (795629)dis-21_1_sil=8000:lcm=predicate:random_seed=2510202360: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)
% 3.85/1.57 % (795626)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1561716080:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.85/1.57 % (795626)Refutation not found, incomplete strategy
% 3.85/1.57 % (795626)------------------------------
% 3.85/1.57 % (795626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795626)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795626)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.57 % (795626)Time elapsed: 0.001 s
% 3.85/1.57 % (795626)Peak memory usage: 87 MB
% 3.85/1.57 % (795627)Instruction limit reached!
% 3.85/1.57 % (795627)------------------------------
% 3.85/1.57 % (795627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795627)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795627)Termination reason: Instruction limit
% 3.85/1.57 % (795627)Termination phase: Saturation
% 3.85/1.57 % (795627)Time elapsed: 0.071 s
% 3.85/1.57 % (795627)Peak memory usage: 88 MB
% 3.85/1.57 % (795627)Instructions burned: 121 (million)
% 3.85/1.57 % (795629)Instruction limit reached!
% 3.85/1.57 % (795629)------------------------------
% 3.85/1.57 % (795629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795629)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795629)Termination reason: Instruction limit
% 3.85/1.57 % (795629)Termination phase: Saturation
% 3.85/1.57 % (795629)Time elapsed: 0.083 s
% 3.85/1.57 % (795629)Peak memory usage: 89 MB
% 3.85/1.57 % (795629)Instructions burned: 130 (million)
% 3.85/1.57 % (795628)Instruction limit reached!
% 3.85/1.57 % (795628)------------------------------
% 3.85/1.57 % (795628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795628)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795628)Termination reason: Instruction limit
% 3.85/1.57 % (795628)Termination phase: Saturation
% 3.85/1.57 % (795628)Time elapsed: 0.103 s
% 3.85/1.57 % (795628)Peak memory usage: 90 MB
% 3.85/1.57 % (795628)Instructions burned: 140 (million)
% 3.85/1.57 % (795637)lrs+10_1_sil=8000:sp=occurrence:random_seed=1004941838:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.85/1.57 % (795638)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2727359596:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.85/1.57 % (795626)------------------------------
% 3.85/1.57 % (795626)------------------------------
% 3.85/1.57 % (795637)First to succeed.
% 3.85/1.57 % (795637)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-795618"
% 3.85/1.57 % (795639)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3249312958:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.85/1.57 % (795638)Instruction limit reached!
% 3.85/1.57 % (795638)------------------------------
% 3.85/1.57 % (795638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795638)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795638)Termination reason: Instruction limit
% 3.85/1.57 % (795638)Termination phase: Saturation
% 3.85/1.57 % (795638)Time elapsed: 0.083 s
% 3.85/1.57 % (795638)Peak memory usage: 93 MB
% 3.85/1.57 % (795638)Instructions burned: 158 (million)
% 3.85/1.57 % (795623)Also succeeded, but the first one will report.
% 3.85/1.57 % (795642)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=3213189335:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.85/1.57 % (795642)Instruction limit reached!
% 3.85/1.57 % (795642)------------------------------
% 3.85/1.57 % (795642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795642)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795642)Termination reason: Instruction limit
% 3.85/1.57 % (795642)Termination phase: Saturation
% 3.85/1.57 % (795642)Time elapsed: 0.077 s
% 3.85/1.57 % (795642)Peak memory usage: 94 MB
% 3.85/1.57 % (795642)Instructions burned: 251 (million)
% 3.85/1.57 % (795639)Instruction limit reached!
% 3.85/1.57 % (795639)------------------------------
% 3.85/1.57 % (795639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795639)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795639)Termination reason: Instruction limit
% 3.85/1.57 % (795639)Termination phase: Saturation
% 3.85/1.57 % (795639)Time elapsed: 0.211 s
% 3.85/1.57 % (795639)Peak memory usage: 92 MB
% 3.85/1.57 % (795639)Instructions burned: 326 (million)
% 3.85/1.57 % (795644)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3534438714:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.85/1.57 % (795644)Refutation not found, incomplete strategy
% 3.85/1.57 % (795644)------------------------------
% 3.85/1.57 % (795644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.57 % (795644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.57 % (795644)CaDiCaL version: 2.1.3
% 3.85/1.57 % (795644)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.57 % (795644)Time elapsed: 0.003 s
% 3.85/1.57 % (795644)Peak memory usage: 89 MB
% 3.85/1.57 % (795644)Instructions burned: 3 (million)
% 3.85/1.57 % (795637)Refutation found. Thanks to Tanya!
% 3.85/1.57 % SZS status Theorem for theBenchmark
% 3.85/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.53/1.77 % (795637)------------------------------
% 5.53/1.77 % (795637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.77 % (795637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.77 % (795637)CaDiCaL version: 2.1.3
% 5.53/1.77 % (795637)Termination reason: Refutation
% 5.53/1.77 % (795637)Time elapsed: 0.016 s
% 5.53/1.77 % (795637)Peak memory usage: 90 MB
% 5.53/1.77 % (795637)Instructions burned: 20 (million)
% 5.53/1.77 % (795637)------------------------------
% 5.53/1.77 % (795637)------------------------------
% 5.53/1.77 % (795618)Success in time 0.702 s
% 5.53/1.77 % Vampire exiting
%------------------------------------------------------------------------------