%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU232+3 : 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 : n008.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 12:47:54 PM UTC 2026
% Result : Theorem 8.18s 2.16s
% Output : Refutation 9.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 159 ( 12 unt; 12 def)
% Number of atoms : 528 ( 36 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 608 ( 239 ~; 299 |; 44 &)
% ( 19 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 110 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f7,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f8,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(f9,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f10,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f30,conjecture,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f31,negated_conjecture,
~ ! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f34,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(f50,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f58,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f59,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f64,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f65,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(flattening,[],[f64]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ in(X1,X2)
| ~ in(X2,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f76,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,[],[f58]) ).
fof(f77,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,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))],[f77]) ).
fof(f79,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,[],[f59]) ).
fof(f80,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,[],[f79]) ).
fof(f81,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))],[f80]) ).
fof(f82,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,[],[f60]) ).
fof(f83,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,[],[f82]) ).
fof(f84,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))],[f83]) ).
fof(f85,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f86,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f85]) ).
fof(f103,plain,
( ~ ordinal(sK17)
& in(sK17,sK18)
& ordinal(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f65]) ).
fof(f106,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f114,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f115,plain,
! [X0] :
( in(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f116,plain,
! [X0] :
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f117,plain,
! [X3,X0,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f118,plain,
! [X0] :
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f119,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f120,plain,
! [X0] :
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f121,plain,
! [X0] :
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
! [X0] :
( in(sK1(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f126,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f127,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f128,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f165,plain,
ordinal(sK18),
inference(cnf_transformation,[],[f103]) ).
fof(f166,plain,
in(sK17,sK18),
inference(cnf_transformation,[],[f103]) ).
fof(f167,plain,
~ ordinal(sK17),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ in(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f184,plain,
epsilon_connected(sK18),
inference(resolution,[],[f126,f165]) ).
fof(f185,plain,
( subset(sK17,sK18)
| ~ epsilon_transitive(sK18) ),
inference(resolution,[],[f114,f166]) ).
fof(f187,definition,
( spl20_1
<=> epsilon_transitive(sK18) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f188,plain,
( epsilon_transitive(sK18)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f189,plain,
( ~ epsilon_transitive(sK18)
| spl20_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,definition,
( spl20_2
<=> subset(sK17,sK18) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f193,plain,
( subset(sK17,sK18)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( ~ spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f185,f191,f187]) ).
fof(f195,plain,
epsilon_transitive(sK18),
inference(resolution,[],[f127,f165]) ).
fof(f196,plain,
( $false
| spl20_1 ),
inference(forward_subsumption_resolution,[],[f195,f189]) ).
fof(f197,plain,
spl20_1,
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f204,plain,
( ! [X0] :
( ~ in(X0,sK17)
| in(X0,sK18) )
| ~ spl20_2 ),
inference(resolution,[],[f123,f193]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ in(X2,sK3(X0,X1))
| subset(X0,X1)
| ~ in(X0,X2) ),
inference(resolution,[],[f124,f170]) ).
fof(f210,plain,
( ! [X0] :
( in(sK3(sK17,X0),sK18)
| subset(sK17,X0) )
| ~ spl20_2 ),
inference(resolution,[],[f124,f204]) ).
fof(f219,plain,
( epsilon_connected(sK17)
| in(sK1(sK17),sK18)
| ~ spl20_2 ),
inference(resolution,[],[f122,f204]) ).
fof(f222,definition,
( spl20_3
<=> in(sK1(sK17),sK18) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f224,plain,
( in(sK1(sK17),sK18)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl20_4
<=> epsilon_connected(sK17) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f227,plain,
( ~ epsilon_connected(sK17)
| spl20_4 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( epsilon_connected(sK17)
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( spl20_3
| spl20_4
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f219,f191,f226,f222]) ).
fof(f234,plain,
( epsilon_connected(sK17)
| in(sK2(sK17),sK18)
| ~ spl20_2 ),
inference(resolution,[],[f121,f204]) ).
fof(f241,plain,
( ~ epsilon_transitive(sK17)
| ordinal(sK17)
| ~ spl20_4 ),
inference(resolution,[],[f228,f128]) ).
fof(f242,plain,
( ~ epsilon_transitive(sK17)
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f241,f167]) ).
fof(f255,plain,
( epsilon_transitive(sK17)
| in(sK0(sK17),sK18)
| ~ spl20_2 ),
inference(resolution,[],[f115,f204]) ).
fof(f278,plain,
( ! [X0,X1] :
( ~ in(X0,sK18)
| in(X0,sK3(sK17,X1))
| sK3(sK17,X1) = X0
| in(sK3(sK17,X1),X0)
| ~ epsilon_connected(sK18)
| subset(sK17,X1) )
| ~ spl20_2 ),
inference(resolution,[],[f117,f210]) ).
fof(f281,plain,
( ! [X0,X1] :
( in(sK3(sK17,X1),X0)
| in(X0,sK3(sK17,X1))
| sK3(sK17,X1) = X0
| ~ in(X0,sK18)
| subset(sK17,X1) )
| ~ spl20_2 ),
inference(forward_subsumption_resolution,[],[f278,f184]) ).
fof(f344,definition,
( spl20_14
<=> in(sK0(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_14])],[avatar_definition]) ).
fof(f345,plain,
( ~ in(sK0(sK17),sK17)
| spl20_14 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f346,plain,
( in(sK0(sK17),sK17)
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f369,plain,
! [X0,X1] :
( ~ in(X0,sK3(X0,X1))
| subset(X0,X1) ),
inference(resolution,[],[f106,f124]) ).
fof(f375,plain,
( epsilon_transitive(sK17)
| spl20_14 ),
inference(resolution,[],[f345,f115]) ).
fof(f376,plain,
( $false
| ~ spl20_4
| spl20_14 ),
inference(forward_subsumption_resolution,[],[f375,f242]) ).
fof(f377,plain,
( ~ spl20_4
| spl20_14 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f472,plain,
( ! [X0] :
( in(X0,sK3(sK17,X0))
| sK3(sK17,X0) = X0
| ~ in(X0,sK18)
| subset(sK17,X0)
| subset(sK17,X0) )
| ~ spl20_2 ),
inference(resolution,[],[f281,f125]) ).
fof(f498,plain,
( ! [X0] :
( in(X0,sK3(sK17,X0))
| sK3(sK17,X0) = X0
| ~ in(X0,sK18)
| subset(sK17,X0) )
| ~ spl20_2 ),
inference(duplicate_literal_removal,[],[f472]) ).
fof(f512,plain,
( ! [X0] :
( subset(sK17,X0)
| ~ in(sK17,X0)
| sK3(sK17,X0) = X0
| ~ in(X0,sK18)
| subset(sK17,X0) )
| ~ spl20_2 ),
inference(resolution,[],[f207,f498]) ).
fof(f520,plain,
( ! [X0] :
( ~ in(sK17,X0)
| subset(sK17,X0)
| sK3(sK17,X0) = X0
| ~ in(X0,sK18) )
| ~ spl20_2 ),
inference(duplicate_literal_removal,[],[f512]) ).
fof(f640,definition,
( spl20_24
<=> in(sK0(sK17),sK18) ),
introduced(definition,[new_symbols(definition,[spl20_24])],[avatar_definition]) ).
fof(f642,plain,
( in(sK0(sK17),sK18)
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f644,definition,
( spl20_25
<=> epsilon_transitive(sK17) ),
introduced(definition,[new_symbols(definition,[spl20_25])],[avatar_definition]) ).
fof(f645,plain,
( ~ epsilon_transitive(sK17)
| spl20_25 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f647,plain,
( spl20_24
| spl20_25
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f255,f191,f644,f640]) ).
fof(f649,definition,
( spl20_26
<=> subset(sK0(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_26])],[avatar_definition]) ).
fof(f650,plain,
( ~ subset(sK0(sK17),sK17)
| spl20_26 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f651,plain,
( subset(sK0(sK17),sK17)
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f680,plain,
( subset(sK0(sK17),sK18)
| ~ epsilon_transitive(sK18)
| ~ spl20_24 ),
inference(resolution,[],[f642,f114]) ).
fof(f704,plain,
( subset(sK0(sK17),sK18)
| ~ spl20_1
| ~ spl20_24 ),
inference(forward_subsumption_resolution,[],[f680,f188]) ).
fof(f705,plain,
( ! [X0] :
( ~ in(X0,sK0(sK17))
| in(X0,sK18) )
| ~ spl20_1
| ~ spl20_24 ),
inference(resolution,[],[f704,f123]) ).
fof(f713,plain,
( ! [X0] :
( in(sK3(sK0(sK17),X0),sK18)
| subset(sK0(sK17),X0) )
| ~ spl20_1
| ~ spl20_24 ),
inference(resolution,[],[f705,f124]) ).
fof(f756,plain,
( in(sK2(sK17),sK18)
| ~ spl20_2
| spl20_4 ),
inference(forward_subsumption_resolution,[],[f234,f227]) ).
fof(f761,plain,
( ! [X0] :
( ~ in(X0,sK18)
| in(X0,sK1(sK17))
| sK1(sK17) = X0
| in(sK1(sK17),X0)
| ~ epsilon_connected(sK18) )
| ~ spl20_3 ),
inference(resolution,[],[f224,f117]) ).
fof(f766,plain,
( ! [X0] :
( in(sK1(sK17),X0)
| in(X0,sK1(sK17))
| sK1(sK17) = X0
| ~ in(X0,sK18) )
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f761,f184]) ).
fof(f783,plain,
( in(sK1(sK17),sK2(sK17))
| sK1(sK17) = sK2(sK17)
| ~ in(sK2(sK17),sK18)
| epsilon_connected(sK17)
| ~ spl20_3 ),
inference(resolution,[],[f766,f118]) ).
fof(f788,plain,
( sK1(sK17) = sK2(sK17)
| ~ in(sK2(sK17),sK18)
| epsilon_connected(sK17)
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f783,f120]) ).
fof(f818,plain,
( ~ in(sK2(sK17),sK18)
| epsilon_connected(sK17)
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f788,f119]) ).
fof(f819,plain,
( epsilon_connected(sK17)
| ~ spl20_2
| ~ spl20_3
| spl20_4 ),
inference(forward_subsumption_resolution,[],[f818,f756]) ).
fof(f820,plain,
( $false
| ~ spl20_2
| ~ spl20_3
| spl20_4 ),
inference(forward_subsumption_resolution,[],[f819,f227]) ).
fof(f821,plain,
( ~ spl20_2
| ~ spl20_3
| spl20_4 ),
inference(avatar_contradiction_clause,[],[f820]) ).
fof(f822,plain,
( ~ spl20_25
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f242,f226,f644]) ).
fof(f825,plain,
( epsilon_transitive(sK17)
| ~ spl20_26 ),
inference(resolution,[],[f651,f116]) ).
fof(f827,plain,
( $false
| spl20_25
| ~ spl20_26 ),
inference(forward_subsumption_resolution,[],[f825,f645]) ).
fof(f828,plain,
( spl20_25
| ~ spl20_26 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f1654,plain,
( ! [X0,X1] :
( subset(sK0(sK17),X0)
| ~ in(X1,sK18)
| in(X1,sK3(sK0(sK17),X0))
| sK3(sK0(sK17),X0) = X1
| in(sK3(sK0(sK17),X0),X1)
| ~ epsilon_connected(sK18) )
| ~ spl20_1
| ~ spl20_24 ),
inference(resolution,[],[f713,f117]) ).
fof(f1661,plain,
( ! [X0,X1] :
( in(sK3(sK0(sK17),X0),X1)
| in(X1,sK3(sK0(sK17),X0))
| ~ in(X1,sK18)
| sK3(sK0(sK17),X0) = X1
| subset(sK0(sK17),X0) )
| ~ spl20_1
| ~ spl20_24 ),
inference(forward_subsumption_resolution,[],[f1654,f184]) ).
fof(f2132,plain,
( ! [X0] :
( in(X0,sK3(sK0(sK17),X0))
| ~ in(X0,sK18)
| sK3(sK0(sK17),X0) = X0
| subset(sK0(sK17),X0)
| subset(sK0(sK17),X0) )
| ~ spl20_1
| ~ spl20_24 ),
inference(resolution,[],[f1661,f125]) ).
fof(f2173,plain,
( ! [X0] :
( in(X0,sK3(sK0(sK17),X0))
| ~ in(X0,sK18)
| sK3(sK0(sK17),X0) = X0
| subset(sK0(sK17),X0) )
| ~ spl20_1
| ~ spl20_24 ),
inference(duplicate_literal_removal,[],[f2132]) ).
fof(f2190,plain,
( ~ in(sK17,sK18)
| sK17 = sK3(sK0(sK17),sK17)
| subset(sK0(sK17),sK17)
| subset(sK17,sK3(sK0(sK17),sK17))
| sK3(sK0(sK17),sK17) = sK3(sK17,sK3(sK0(sK17),sK17))
| ~ in(sK3(sK0(sK17),sK17),sK18)
| ~ spl20_1
| ~ spl20_2
| ~ spl20_24 ),
inference(resolution,[],[f2173,f520]) ).
fof(f2194,plain,
( ~ in(sK17,sK18)
| sK17 = sK3(sK0(sK17),sK17)
| subset(sK0(sK17),sK17)
| subset(sK17,sK3(sK0(sK17),sK17))
| sK3(sK0(sK17),sK17) = sK3(sK17,sK3(sK0(sK17),sK17))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_24 ),
inference(forward_subsumption_resolution,[],[f2190,f713]) ).
fof(f2195,plain,
( sK17 = sK3(sK0(sK17),sK17)
| subset(sK0(sK17),sK17)
| subset(sK17,sK3(sK0(sK17),sK17))
| sK3(sK0(sK17),sK17) = sK3(sK17,sK3(sK0(sK17),sK17))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_24 ),
inference(forward_subsumption_resolution,[],[f2194,f166]) ).
fof(f2196,plain,
( sK17 = sK3(sK0(sK17),sK17)
| subset(sK17,sK3(sK0(sK17),sK17))
| sK3(sK0(sK17),sK17) = sK3(sK17,sK3(sK0(sK17),sK17))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_24
| spl20_26 ),
inference(forward_subsumption_resolution,[],[f2195,f650]) ).
fof(f2198,definition,
( spl20_97
<=> sK3(sK0(sK17),sK17) = sK3(sK17,sK3(sK0(sK17),sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_97])],[avatar_definition]) ).
fof(f2200,plain,
( sK3(sK0(sK17),sK17) = sK3(sK17,sK3(sK0(sK17),sK17))
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f2202,definition,
( spl20_98
<=> subset(sK17,sK3(sK0(sK17),sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_98])],[avatar_definition]) ).
fof(f2204,plain,
( subset(sK17,sK3(sK0(sK17),sK17))
| ~ spl20_98 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f2206,definition,
( spl20_99
<=> sK17 = sK3(sK0(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_99])],[avatar_definition]) ).
fof(f2208,plain,
( sK17 = sK3(sK0(sK17),sK17)
| ~ spl20_99 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f2209,plain,
( spl20_97
| spl20_98
| spl20_99
| ~ spl20_1
| ~ spl20_2
| ~ spl20_24
| spl20_26 ),
inference(avatar_split_clause,[],[f2196,f649,f640,f191,f187,f2206,f2202,f2198]) ).
fof(f2218,plain,
( in(sK3(sK0(sK17),sK17),sK17)
| subset(sK17,sK3(sK0(sK17),sK17))
| ~ spl20_97 ),
inference(superposition,[],[f124,f2200]) ).
fof(f2253,definition,
( spl20_105
<=> in(sK3(sK0(sK17),sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_105])],[avatar_definition]) ).
fof(f2255,plain,
( in(sK3(sK0(sK17),sK17),sK17)
| ~ spl20_105 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f2256,plain,
( spl20_98
| spl20_105
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f2218,f2198,f2253,f2202]) ).
fof(f2295,plain,
( ! [X0] :
( in(X0,sK3(sK0(sK17),sK17))
| ~ in(X0,sK17) )
| ~ spl20_98 ),
inference(resolution,[],[f2204,f123]) ).
fof(f2297,plain,
( ~ in(sK0(sK17),sK17)
| subset(sK0(sK17),sK17)
| ~ spl20_98 ),
inference(resolution,[],[f2295,f369]) ).
fof(f2347,plain,
( subset(sK0(sK17),sK17)
| ~ spl20_14
| ~ spl20_98 ),
inference(forward_subsumption_resolution,[],[f2297,f346]) ).
fof(f2349,plain,
( $false
| ~ spl20_14
| spl20_26
| ~ spl20_98 ),
inference(forward_subsumption_resolution,[],[f2347,f650]) ).
fof(f2350,plain,
( ~ spl20_14
| spl20_26
| ~ spl20_98 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2406,plain,
( subset(sK0(sK17),sK17)
| ~ spl20_105 ),
inference(resolution,[],[f2255,f125]) ).
fof(f2416,plain,
( $false
| spl20_26
| ~ spl20_105 ),
inference(forward_subsumption_resolution,[],[f2406,f650]) ).
fof(f2417,plain,
( spl20_26
| ~ spl20_105 ),
inference(avatar_contradiction_clause,[],[f2416]) ).
fof(f2428,plain,
( ~ in(sK0(sK17),sK17)
| subset(sK0(sK17),sK17)
| ~ spl20_99 ),
inference(superposition,[],[f369,f2208]) ).
fof(f2431,plain,
( subset(sK0(sK17),sK17)
| ~ spl20_14
| ~ spl20_99 ),
inference(forward_subsumption_resolution,[],[f2428,f346]) ).
fof(f2436,plain,
( $false
| ~ spl20_14
| spl20_26
| ~ spl20_99 ),
inference(forward_subsumption_resolution,[],[f2431,f650]) ).
fof(f2437,plain,
( ~ spl20_14
| spl20_26
| ~ spl20_99 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
cnf(s1,plain,
( ~ spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f194]) ).
cnf(s2,plain,
spl20_1,
inference(sat_conversion,[],[f197]) ).
cnf(s3,plain,
( ~ spl20_2
| spl20_3
| spl20_4 ),
inference(sat_conversion,[],[f229]) ).
cnf(s11,plain,
( ~ spl20_4
| spl20_14 ),
inference(sat_conversion,[],[f377]) ).
cnf(s16,plain,
( ~ spl20_2
| spl20_24
| spl20_25 ),
inference(sat_conversion,[],[f647]) ).
cnf(s30,plain,
( ~ spl20_2
| ~ spl20_3
| spl20_4 ),
inference(sat_conversion,[],[f821]) ).
cnf(s31,plain,
( ~ spl20_4
| ~ spl20_25 ),
inference(sat_conversion,[],[f822]) ).
cnf(s32,plain,
( spl20_25
| ~ spl20_26 ),
inference(sat_conversion,[],[f828]) ).
cnf(s92,plain,
( ~ spl20_1
| ~ spl20_2
| ~ spl20_24
| spl20_26
| spl20_97
| spl20_98
| spl20_99 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s98,plain,
( ~ spl20_97
| spl20_98
| spl20_105 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s112,plain,
( ~ spl20_14
| spl20_26
| ~ spl20_98 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s124,plain,
( spl20_26
| ~ spl20_105 ),
inference(sat_conversion,[],[f2417]) ).
cnf(s125,plain,
( ~ spl20_14
| spl20_26
| ~ spl20_99 ),
inference(sat_conversion,[],[f2437]) ).
cnf(s127,plain,
spl20_2,
inference(rat,[],[s1,s2]) ).
cnf(s128,plain,
~ spl20_4,
inference(rat,[],[s98,s92,s112,s124,s125,s16,s32,s11,s31,s2,s127]) ).
cnf(s129,plain,
~ spl20_3,
inference(rat,[],[s30,s127,s128]) ).
cnf(s130,plain,
$false,
inference(rat,[],[s3,s127,s128,s129]) ).
fof(f2444,plain,
$false,
inference(avatar_sat_refutation,[],[s130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU232+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 04:13:54 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 8.18/2.16 % (1863186)Detected formulas, will run a generic FOF schedule.
% 8.18/2.16 % (1863194)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=45047811:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.18/2.16 % (1863194)Refutation not found, incomplete strategy
% 8.18/2.16 % (1863194)------------------------------
% 8.18/2.16 % (1863194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863194)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863194)Termination reason: Refutation not found, incomplete strategy
% 8.18/2.16 % (1863194)Time elapsed: 0.001 s
% 8.18/2.16 % (1863194)Peak memory usage: 88 MB
% 8.18/2.16 % (1863191)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=2474292423:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.18/2.16 % (1863193)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=93037052:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.18/2.16 % (1863197)dis-21_1_sil=8000:lcm=predicate:random_seed=2982153710: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)
% 8.18/2.16 % (1863195)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2459622599:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.18/2.16 % (1863192)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=3784753345:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.18/2.16 % (1863196)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1235439505:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.18/2.16 % (1863195)Instruction limit reached!
% 8.18/2.16 % (1863195)------------------------------
% 8.18/2.16 % (1863195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863195)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863195)Termination reason: Instruction limit
% 8.18/2.16 % (1863195)Termination phase: Saturation
% 8.18/2.16 % (1863195)Time elapsed: 0.065 s
% 8.18/2.16 % (1863195)Peak memory usage: 87 MB
% 8.18/2.16 % (1863195)Instructions burned: 120 (million)
% 8.18/2.16 % (1863197)Instruction limit reached!
% 8.18/2.16 % (1863197)------------------------------
% 8.18/2.16 % (1863197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863197)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863197)Termination reason: Instruction limit
% 8.18/2.16 % (1863197)Termination phase: Saturation
% 8.18/2.16 % (1863197)Time elapsed: 0.075 s
% 8.18/2.16 % (1863197)Peak memory usage: 90 MB
% 8.18/2.16 % (1863197)Instructions burned: 131 (million)
% 8.18/2.16 % (1863194)------------------------------
% 8.18/2.16 % (1863194)------------------------------
% 8.18/2.16 % (1863196)Instruction limit reached!
% 8.18/2.16 % (1863196)------------------------------
% 8.18/2.16 % (1863196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863196)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863196)Termination reason: Instruction limit
% 8.18/2.16 % (1863196)Termination phase: Saturation
% 8.18/2.16 % (1863196)Time elapsed: 0.099 s
% 8.18/2.16 % (1863196)Peak memory usage: 89 MB
% 8.18/2.16 % (1863196)Instructions burned: 139 (million)
% 8.18/2.16 % (1863205)lrs+10_1_sil=8000:sp=occurrence:random_seed=818230116:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.18/2.16 % (1863206)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2826669524:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.18/2.16 % (1863206)Refutation not found, incomplete strategy
% 8.18/2.16 % (1863206)------------------------------
% 8.18/2.16 % (1863206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863206)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863206)Termination reason: Refutation not found, incomplete strategy
% 8.18/2.16 % (1863206)Time elapsed: 0.002 s
% 8.18/2.16 % (1863206)Peak memory usage: 88 MB
% 8.18/2.16 % (1863206)Instructions burned: 1 (million)
% 8.18/2.16 % (1863207)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2684689424:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.18/2.16 % (1863208)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=674655508:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.18/2.16 % (1863207)Instruction limit reached!
% 8.18/2.16 % (1863207)------------------------------
% 8.18/2.16 % (1863207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863207)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863207)Termination reason: Instruction limit
% 8.18/2.16 % (1863207)Termination phase: Saturation
% 8.18/2.16 % (1863207)Time elapsed: 0.111 s
% 8.18/2.16 % (1863207)Peak memory usage: 91 MB
% 8.18/2.16 % (1863207)Instructions burned: 328 (million)
% 8.18/2.16 % (1863205)Instruction limit reached!
% 8.18/2.16 % (1863205)------------------------------
% 8.18/2.16 % (1863205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863205)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863205)Termination reason: Instruction limit
% 8.18/2.16 % (1863205)Termination phase: Saturation
% 8.18/2.16 % (1863205)Time elapsed: 0.174 s
% 8.18/2.16 % (1863205)Peak memory usage: 91 MB
% 8.18/2.16 % (1863205)Instructions burned: 286 (million)
% 8.18/2.16 % (1863208)Instruction limit reached!
% 8.18/2.16 % (1863208)------------------------------
% 8.18/2.16 % (1863208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863208)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863208)Termination reason: Instruction limit
% 8.18/2.16 % (1863208)Termination phase: Saturation
% 8.18/2.16 % (1863208)Time elapsed: 0.137 s
% 8.18/2.16 % (1863208)Peak memory usage: 91 MB
% 8.18/2.16 % (1863208)Instructions burned: 250 (million)
% 8.18/2.16 % (1863213)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2466901968:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.18/2.16 % (1863206)------------------------------
% 8.18/2.16 % (1863206)------------------------------
% 8.18/2.16 % (1863213)Instruction limit reached!
% 8.18/2.16 % (1863213)------------------------------
% 8.18/2.16 % (1863213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863213)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863213)Termination reason: Instruction limit
% 8.18/2.16 % (1863213)Termination phase: Saturation
% 8.18/2.16 % (1863213)Time elapsed: 0.089 s
% 8.18/2.16 % (1863213)Peak memory usage: 88 MB
% 8.18/2.16 % (1863213)Instructions burned: 296 (million)
% 8.18/2.16 % (1863214)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2037352099:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.18/2.16 % (1863215)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3147775942:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.18/2.16 % (1863217)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3657295803:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.18/2.16 % (1863215)Instruction limit reached!
% 8.18/2.16 % (1863215)------------------------------
% 8.18/2.16 % (1863215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863215)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863215)Termination reason: Instruction limit
% 8.18/2.16 % (1863215)Termination phase: Saturation
% 8.18/2.16 % (1863215)Time elapsed: 0.083 s
% 8.18/2.16 % (1863215)Peak memory usage: 90 MB
% 8.18/2.16 % (1863215)Instructions burned: 114 (million)
% 8.18/2.16 % (1863219)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2613683638:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.18/2.16 % (1863219)Refutation not found, incomplete strategy
% 8.18/2.16 % (1863219)------------------------------
% 8.18/2.16 % (1863219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863219)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863219)Termination reason: Refutation not found, incomplete strategy
% 8.18/2.16 % (1863219)Time elapsed: 0.001 s
% 8.18/2.16 % (1863219)Peak memory usage: 88 MB
% 8.18/2.16 % (1863219)Instructions burned: 1 (million)
% 8.18/2.16 % (1863217)Instruction limit reached!
% 8.18/2.16 % (1863217)------------------------------
% 8.18/2.16 % (1863217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863217)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863217)Termination reason: Instruction limit
% 8.18/2.16 % (1863217)Termination phase: Saturation
% 8.18/2.16 % (1863217)Time elapsed: 0.065 s
% 8.18/2.16 % (1863217)Peak memory usage: 89 MB
% 8.18/2.16 % (1863217)Instructions burned: 128 (million)
% 8.18/2.16 % (1863219)------------------------------
% 8.18/2.16 % (1863219)------------------------------
% 8.18/2.16 % (1863222)lrs+10_1_sil=8000:sp=occurrence:random_seed=2031190872:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.18/2.16 % (1863224)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2024844545:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.18/2.16 % (1863191)First to succeed.
% 8.18/2.16 % (1863191)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1863186"
% 8.18/2.16 % (1863226)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=238360377:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.18/2.16 % (1863224)Instruction limit reached!
% 8.18/2.16 % (1863224)------------------------------
% 8.18/2.16 % (1863224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1863224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1863224)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1863224)Termination reason: Instruction limit
% 8.18/2.16 % (1863224)Termination phase: Saturation
% 8.18/2.16 % (1863224)Time elapsed: 0.242 s
% 8.18/2.16 % (1863224)Peak memory usage: 89 MB
% 8.18/2.16 % (1863224)Instructions burned: 437 (million)
% 8.18/2.16 % (1863191)Refutation found. Thanks to Tanya!
% 8.18/2.16 % SZS status Theorem for theBenchmark
% 8.18/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 9.72/2.25 % (1863191)------------------------------
% 9.72/2.25 % (1863191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.25 % (1863191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.25 % (1863191)CaDiCaL version: 2.1.3
% 9.72/2.25 % (1863191)Termination reason: Refutation
% 9.72/2.25 % (1863191)Time elapsed: 0.877 s
% 9.72/2.25 % (1863191)Peak memory usage: 131 MB
% 9.72/2.25 % (1863191)Instructions burned: 1302 (million)
% 9.72/2.25 % (1863191)------------------------------
% 9.72/2.25 % (1863191)------------------------------
% 9.72/2.25 % (1863186)Success in time 1.304 s
% 9.72/2.25 % Vampire exiting
%------------------------------------------------------------------------------