%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM404+1 : TPTP v9.3.1. Released v3.2.0.
% 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 12:15:04 PM UTC 2026
% Result : Theorem 2.82s 1.30s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 94 ( 8 unt; 4 def)
% Number of atoms : 289 ( 17 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 317 ( 122 ~; 138 |; 36 &)
% ( 13 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 93 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f6,axiom,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f8,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f9,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f10,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f32,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f33,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f35,conjecture,
! [X0] :
~ ! [X1] :
( in(X1,X0)
<=> ordinal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_ordinal1) ).
fof(f36,negated_conjecture,
~ ! [X0] :
~ ! [X1] :
( in(X1,X0)
<=> ordinal(X1) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f59,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f60,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(flattening,[],[f59]) ).
fof(f62,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f63,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f64,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f66,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f67,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
? [X0] :
! [X1] :
( in(X1,X0)
<=> ordinal(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f79,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,[],[f62]) ).
fof(f80,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f80]) ).
fof(f82,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f83,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( in(sK1(X0),X0)
& in(sK2(X0),X0)
& ~ in(sK1(X0),sK2(X0))
& sK1(X0) != sK2(X0)
& ~ in(sK2(X0),sK1(X0)) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f83]) ).
fof(f85,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,[],[f64]) ).
fof(f86,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,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f86]) ).
fof(f104,plain,
? [X0] :
! [X1] :
( ( in(X1,X0)
| ~ ordinal(X1) )
& ( ordinal(X1)
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f105,plain,
! [X1] :
( ( in(X1,sK18)
| ~ ordinal(X1) )
& ( ordinal(X1)
| ~ in(X1,sK18) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f104]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f114,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f119,plain,
! [X0] :
( epsilon_transitive(X0)
| in(sK0(X0),X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f120,plain,
! [X0] :
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
! [X0] :
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f123,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
! [X0] :
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK2(X0),X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f126,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK1(X0),X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f128,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f129,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f178,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f179,plain,
! [X0,X1] :
( ~ ordinal(X0)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f181,plain,
! [X1] :
( ordinal(X1)
| ~ in(X1,sK18) ),
inference(cnf_transformation,[],[f105]) ).
fof(f182,plain,
! [X1] :
( in(X1,sK18)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f199,plain,
! [X0] :
( ~ in(sK18,X0)
| ~ ordinal(X0) ),
inference(resolution,[],[f107,f182]) ).
fof(f201,plain,
( ~ ordinal(sK18)
| ~ ordinal(sK18) ),
inference(resolution,[],[f199,f182]) ).
fof(f202,plain,
~ ordinal(sK18),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f203,plain,
( ~ epsilon_transitive(sK18)
| ~ epsilon_connected(sK18) ),
inference(resolution,[],[f202,f114]) ).
fof(f207,definition,
( spl19_3
<=> epsilon_connected(sK18) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f209,plain,
( ~ epsilon_connected(sK18)
| spl19_3 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f211,definition,
( spl19_4
<=> epsilon_transitive(sK18) ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f213,plain,
( ~ epsilon_transitive(sK18)
| spl19_4 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,plain,
( ~ spl19_3
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f203,f211,f207]) ).
fof(f218,plain,
( in(sK2(sK18),sK18)
| spl19_3 ),
inference(resolution,[],[f125,f209]) ).
fof(f221,plain,
( in(sK1(sK18),sK18)
| spl19_3 ),
inference(resolution,[],[f126,f209]) ).
fof(f226,plain,
! [X0] :
( epsilon_transitive(X0)
| in(sK3(sK0(X0),X0),sK0(X0)) ),
inference(resolution,[],[f128,f120]) ).
fof(f227,plain,
! [X0] :
( subset(X0,sK18)
| ~ ordinal(sK3(X0,sK18)) ),
inference(resolution,[],[f129,f182]) ).
fof(f228,plain,
( ~ ordinal(sK3(sK0(sK18),sK18))
| epsilon_transitive(sK18) ),
inference(resolution,[],[f227,f120]) ).
fof(f230,definition,
( spl19_5
<=> ordinal(sK3(sK0(sK18),sK18)) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f232,plain,
( ~ ordinal(sK3(sK0(sK18),sK18))
| spl19_5 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl19_4
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f228,f230,f211]) ).
fof(f235,plain,
( ! [X0] :
( ~ in(sK3(sK0(sK18),sK18),X0)
| ~ ordinal(X0) )
| spl19_5 ),
inference(resolution,[],[f232,f178]) ).
fof(f261,plain,
! [X0,X1] :
( ~ in(X0,sK18)
| in(X1,X0)
| ~ ordinal(X1)
| in(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f179,f181]) ).
fof(f279,plain,
( ! [X0] :
( in(sK2(sK18),X0)
| ~ ordinal(X0)
| in(X0,sK2(sK18))
| sK2(sK18) = X0 )
| spl19_3 ),
inference(resolution,[],[f261,f218]) ).
fof(f317,plain,
( ~ ordinal(sK1(sK18))
| in(sK1(sK18),sK2(sK18))
| sK2(sK18) = sK1(sK18)
| epsilon_connected(sK18)
| spl19_3 ),
inference(resolution,[],[f279,f122]) ).
fof(f325,plain,
( ~ ordinal(sK1(sK18))
| sK2(sK18) = sK1(sK18)
| epsilon_connected(sK18)
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f317,f124]) ).
fof(f326,plain,
( ~ ordinal(sK1(sK18))
| epsilon_connected(sK18)
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f325,f123]) ).
fof(f327,plain,
( ~ ordinal(sK1(sK18))
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f326,f209]) ).
fof(f331,plain,
( ~ in(sK1(sK18),sK18)
| spl19_3 ),
inference(resolution,[],[f327,f181]) ).
fof(f332,plain,
( $false
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f331,f221]) ).
fof(f333,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f345,plain,
( in(sK0(sK18),sK18)
| spl19_4 ),
inference(resolution,[],[f213,f119]) ).
fof(f448,plain,
( in(sK3(sK0(sK18),sK18),sK0(sK18))
| spl19_4 ),
inference(resolution,[],[f226,f213]) ).
fof(f1588,definition,
( spl19_68
<=> ordinal(sK0(sK18)) ),
introduced(definition,[new_symbols(definition,[spl19_68])],[avatar_definition]) ).
fof(f1589,plain,
( ordinal(sK0(sK18))
| ~ spl19_68 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1590,plain,
( ~ ordinal(sK0(sK18))
| spl19_68 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1609,plain,
( ~ in(sK0(sK18),sK18)
| spl19_68 ),
inference(resolution,[],[f1590,f181]) ).
fof(f1610,plain,
( $false
| spl19_4
| spl19_68 ),
inference(forward_subsumption_resolution,[],[f1609,f345]) ).
fof(f1611,plain,
( spl19_4
| spl19_68 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1661,plain,
( ~ ordinal(sK0(sK18))
| spl19_4
| spl19_5 ),
inference(resolution,[],[f448,f235]) ).
fof(f1671,plain,
( $false
| spl19_4
| spl19_5
| ~ spl19_68 ),
inference(forward_subsumption_resolution,[],[f1661,f1589]) ).
fof(f1672,plain,
( spl19_4
| spl19_5
| ~ spl19_68 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
cnf(s2,plain,
( ~ spl19_3
| ~ spl19_4 ),
inference(sat_conversion,[],[f214]) ).
cnf(s3,plain,
( spl19_4
| ~ spl19_5 ),
inference(sat_conversion,[],[f233]) ).
cnf(s7,plain,
spl19_3,
inference(sat_conversion,[],[f333]) ).
cnf(s134,plain,
( spl19_4
| spl19_68 ),
inference(sat_conversion,[],[f1611]) ).
cnf(s135,plain,
( spl19_4
| spl19_5
| ~ spl19_68 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s165,plain,
~ spl19_4,
inference(rat,[],[s2,s7]) ).
cnf(s166,plain,
spl19_68,
inference(rat,[],[s134,s165]) ).
cnf(s170,plain,
~ spl19_5,
inference(rat,[],[s3,s165]) ).
cnf(s171,plain,
$false,
inference(rat,[],[s135,s165,s166,s170]) ).
fof(f1674,plain,
$false,
inference(avatar_sat_refutation,[],[s171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM404+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 19:50:13 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.82/1.30 % (2685034)Detected formulas, will run a generic FOF schedule.
% 2.82/1.30 % (2685041)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=3744007757:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.82/1.30 % (2685042)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3621938006:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.82/1.30 % (2685043)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2877635612:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.82/1.30 % (2685039)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=4184157517:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.82/1.30 % (2685045)dis-21_1_sil=8000:lcm=predicate:random_seed=1741616653: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)
% 2.82/1.30 % (2685040)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=4245339023:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.82/1.30 % (2685044)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2994743559:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.82/1.30 % (2685042)Refutation not found, incomplete strategy
% 2.82/1.30 % (2685042)------------------------------
% 2.82/1.30 % (2685042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.30 % (2685042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.30 % (2685042)CaDiCaL version: 2.1.3
% 2.82/1.30 % (2685042)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.30 % (2685042)Time elapsed: 0.001 s
% 2.82/1.30 % (2685042)Peak memory usage: 87 MB
% 2.82/1.30 % (2685043)Refutation not found, incomplete strategy
% 2.82/1.30 % (2685043)------------------------------
% 2.82/1.30 % (2685043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.30 % (2685043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.30 % (2685043)CaDiCaL version: 2.1.3
% 2.82/1.30 % (2685043)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.30 % (2685043)Time elapsed: 0.001 s
% 2.82/1.30 % (2685043)Peak memory usage: 88 MB
% 2.82/1.30 % (2685044)First to succeed.
% 2.82/1.30 % (2685044)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2685034"
% 2.82/1.30 % (2685045)Instruction limit reached!
% 2.82/1.30 % (2685045)------------------------------
% 2.82/1.30 % (2685045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.30 % (2685045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.30 % (2685045)CaDiCaL version: 2.1.3
% 2.82/1.30 % (2685045)Termination reason: Instruction limit
% 2.82/1.30 % (2685045)Termination phase: Saturation
% 2.82/1.30 % (2685045)Time elapsed: 0.054 s
% 2.82/1.30 % (2685045)Peak memory usage: 88 MB
% 2.82/1.30 % (2685045)Instructions burned: 129 (million)
% 2.82/1.30 % (2685053)lrs+10_1_sil=8000:sp=occurrence:random_seed=607122247:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.82/1.30 % (2685053)Refutation not found, incomplete strategy
% 2.82/1.30 % (2685053)------------------------------
% 2.82/1.30 % (2685053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.30 % (2685053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.30 % (2685053)CaDiCaL version: 2.1.3
% 2.82/1.30 % (2685053)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.30 % (2685053)Time elapsed: 0.001 s
% 2.82/1.30 % (2685053)Peak memory usage: 88 MB
% 2.82/1.30 % (2685042)------------------------------
% 2.82/1.30 % (2685042)------------------------------
% 2.82/1.30 % (2685043)------------------------------
% 2.82/1.30 % (2685043)------------------------------
% 2.82/1.30 % (2685044)Refutation found. Thanks to Tanya!
% 2.82/1.30 % SZS status Theorem for theBenchmark
% 2.82/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 2.82/1.39 % (2685044)------------------------------
% 2.82/1.39 % (2685044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.39 % (2685044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.39 % (2685044)CaDiCaL version: 2.1.3
% 2.82/1.39 % (2685044)Termination reason: Refutation
% 2.82/1.39 % (2685044)Time elapsed: 0.036 s
% 2.82/1.39 % (2685044)Peak memory usage: 90 MB
% 2.82/1.39 % (2685044)Instructions burned: 48 (million)
% 2.82/1.39 % (2685044)------------------------------
% 2.82/1.39 % (2685044)------------------------------
% 2.82/1.39 % (2685034)Success in time 0.437 s
% 2.82/1.39 % Vampire exiting
%------------------------------------------------------------------------------