%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU233+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 12:47:55 PM UTC 2026
% Result : Theorem 29.01s 4.95s
% Output : Refutation 29.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 9
% Syntax : Number of formulae : 91 ( 7 unt; 0 def)
% Number of atoms : 383 ( 33 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 508 ( 216 ~; 214 |; 58 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 230 ( 218 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_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,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f10,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f11,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( subset(X0,X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f31,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_ordinal1) ).
fof(f32,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f33,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f43,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
fof(f47,plain,
! [X0,X1] :
( ( subset(X0,X1)
& X0 != X1 )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f54,plain,
? [X0] :
( ? [X1] :
( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0)
& ordinal(X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0)
& ordinal(X1) )
& ordinal(X0) ),
inference(flattening,[],[f54]) ).
fof(f58,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f47]) ).
fof(f59,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f67,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f68,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f69]) ).
fof(f72,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f73,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f77,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f85,plain,
( ~ in(sK0,sK1)
& sK0 != sK1
& ~ in(sK1,sK0)
& ordinal(sK1)
& ordinal(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f55]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X1)
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( in(sK2(X0,X1,X2),X0)
& ~ in(sK2(X0,X1,X2),X1) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK3(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK3(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X1))],[f60]) ).
fof(f91,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,[],[f72]) ).
fof(f92,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,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f92]) ).
fof(f94,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,[],[f73]) ).
fof(f95,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK5(X0),X0)
& in(sK5(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f95]) ).
fof(f110,plain,
ordinal(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f111,plain,
ordinal(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f112,plain,
~ in(sK1,sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f113,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f85]) ).
fof(f114,plain,
~ in(sK0,sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f119,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| proper_subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f120,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f89]) ).
fof(f121,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f89]) ).
fof(f122,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f89]) ).
fof(f126,plain,
! [X3,X0,X1] :
( ~ in(X3,sK3(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f127,plain,
! [X0,X1] :
( in(sK3(X1),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f132,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f133,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f135,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f136,plain,
! [X0,X1] :
( in(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f137,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f138,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f147,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f182,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f122]) ).
fof(f183,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f121]) ).
fof(f184,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f120]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ in(sK4(sK3(X0),X1),X0)
| ~ in(X2,X0)
| subset(sK3(X0),X1) ),
inference(resolution,[],[f126,f136]) ).
fof(f195,plain,
! [X2,X0,X1] :
( in(sK3(set_difference(X1,X2)),X1)
| ~ in(X0,set_difference(X1,X2)) ),
inference(resolution,[],[f127,f183]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ in(sK3(set_difference(X0,X1)),X1)
| ~ in(X2,set_difference(X0,X1)) ),
inference(resolution,[],[f184,f127]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ordinal(sK3(set_difference(X0,X1)))
| ~ ordinal(X0)
| ~ in(X2,set_difference(X0,X1)) ),
inference(resolution,[],[f132,f195]) ).
fof(f223,plain,
! [X2,X0,X1] :
( in(X2,X1)
| ~ epsilon_transitive(X1)
| ~ in(X2,X0)
| ~ in(X0,X1) ),
inference(resolution,[],[f138,f135]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( in(sK4(sK3(set_difference(X1,X2)),X3),X2)
| subset(sK3(set_difference(X1,X2)),X3)
| ~ in(sK4(sK3(set_difference(X1,X2)),X3),X1)
| ~ in(X0,set_difference(X1,X2)) ),
inference(resolution,[],[f193,f182]) ).
fof(f237,plain,
! [X2,X0,X1] :
( subset(sK3(set_difference(X0,X1)),X1)
| ~ in(sK4(sK3(set_difference(X0,X1)),X1),X0)
| ~ in(X2,set_difference(X0,X1))
| subset(sK3(set_difference(X0,X1)),X1) ),
inference(resolution,[],[f234,f137]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ in(sK4(sK3(set_difference(X0,X1)),X1),X0)
| subset(sK3(set_difference(X0,X1)),X1)
| ~ in(X2,set_difference(X0,X1)) ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ in(sK4(sK3(set_difference(X0,X1)),X1),X2)
| ~ epsilon_transitive(X0)
| ~ in(X2,X0)
| subset(sK3(set_difference(X0,X1)),X1)
| ~ in(X3,set_difference(X0,X1)) ),
inference(resolution,[],[f223,f242]) ).
fof(f2099,plain,
! [X2,X0,X1] :
( ~ epsilon_transitive(X0)
| ~ in(sK3(set_difference(X0,X1)),X0)
| subset(sK3(set_difference(X0,X1)),X1)
| ~ in(X2,set_difference(X0,X1))
| subset(sK3(set_difference(X0,X1)),X1) ),
inference(resolution,[],[f299,f136]) ).
fof(f2115,plain,
! [X2,X0,X1] :
( ~ epsilon_transitive(X0)
| ~ in(sK3(set_difference(X0,X1)),X0)
| subset(sK3(set_difference(X0,X1)),X1)
| ~ in(X2,set_difference(X0,X1)) ),
inference(duplicate_literal_removal,[],[f2099]) ).
fof(f2116,plain,
! [X2,X0,X1] :
( subset(sK3(set_difference(X0,X1)),X1)
| ~ epsilon_transitive(X0)
| ~ in(X2,set_difference(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f2115,f195]) ).
fof(f2118,plain,
! [X2,X0,X1] :
( proper_subset(sK3(set_difference(X0,X2)),X2)
| ~ in(X1,set_difference(X0,X2))
| ~ epsilon_transitive(X0)
| sK3(set_difference(X0,X2)) = X2 ),
inference(resolution,[],[f2116,f119]) ).
fof(f2122,plain,
! [X2,X0,X1] :
( ~ in(X0,set_difference(X1,X2))
| ~ epsilon_transitive(X1)
| sK3(set_difference(X1,X2)) = X2
| in(sK3(set_difference(X1,X2)),X2)
| ~ ordinal(X2)
| ~ epsilon_transitive(sK3(set_difference(X1,X2))) ),
inference(resolution,[],[f2118,f133]) ).
fof(f2125,plain,
! [X2,X0,X1] :
( sK3(set_difference(X1,X2)) = X2
| ~ epsilon_transitive(X1)
| ~ in(X0,set_difference(X1,X2))
| ~ ordinal(X2)
| ~ epsilon_transitive(sK3(set_difference(X1,X2))) ),
inference(forward_subsumption_resolution,[],[f2122,f204]) ).
fof(f2150,plain,
! [X2,X3,X0,X1] :
( ~ epsilon_transitive(sK3(set_difference(X1,X0)))
| ~ in(X2,set_difference(X1,X0))
| ~ epsilon_transitive(X1)
| ~ in(X3,set_difference(X1,X0))
| ~ ordinal(X0)
| in(X0,set_difference(X1,X0)) ),
inference(superposition,[],[f127,f2125]) ).
fof(f11503,plain,
! [X2,X3,X0,X1] :
( ~ ordinal(sK3(set_difference(X1,X2)))
| ~ epsilon_transitive(X1)
| ~ in(X3,set_difference(X1,X2))
| ~ ordinal(X2)
| in(X2,set_difference(X1,X2))
| ~ in(X0,set_difference(X1,X2)) ),
inference(resolution,[],[f2150,f147]) ).
fof(f11532,plain,
! [X2,X3,X0,X1,X4] :
( ~ epsilon_transitive(X0)
| ~ in(X1,set_difference(X0,X2))
| ~ ordinal(X2)
| in(X2,set_difference(X0,X2))
| ~ in(X3,set_difference(X0,X2))
| ~ ordinal(X0)
| ~ in(X4,set_difference(X0,X2)) ),
inference(resolution,[],[f11503,f212]) ).
fof(f11565,plain,
! [X2,X3,X0,X1,X4] :
( in(X2,set_difference(X0,X2))
| ~ ordinal(X2)
| ~ in(X1,set_difference(X0,X2))
| ~ in(X3,set_difference(X0,X2))
| ~ ordinal(X0)
| ~ in(X4,set_difference(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f11532,f147]) ).
fof(f11574,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,set_difference(X2,X0))
| ~ in(X1,set_difference(X2,X0))
| ~ in(X3,set_difference(X2,X0))
| ~ ordinal(X2)
| ~ ordinal(X0)
| in(X0,X2) ),
inference(resolution,[],[f11565,f183]) ).
fof(f18286,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,set_difference(X1,X2))
| ~ in(X0,set_difference(X1,X2))
| ~ ordinal(X1)
| ~ ordinal(X2)
| in(X2,X1) ),
inference(factoring,[],[f11574]) ).
fof(f18386,plain,
! [X2,X0,X1] :
( ~ in(X0,set_difference(X1,X2))
| ~ ordinal(X1)
| ~ ordinal(X2)
| in(X2,X1) ),
inference(factoring,[],[f18286]) ).
fof(f18429,plain,
! [X2,X0,X1] :
( in(X2,X1)
| ~ ordinal(X1)
| in(X1,X0)
| ~ in(X2,X0)
| ~ ordinal(X0) ),
inference(resolution,[],[f18386,f182]) ).
fof(f18652,plain,
! [X2,X0,X1] :
( ~ in(sK4(X2,X0),X1)
| in(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| subset(X2,X0) ),
inference(resolution,[],[f18429,f137]) ).
fof(f19670,plain,
! [X0,X1] :
( in(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| subset(X1,X0)
| subset(X1,X0) ),
inference(resolution,[],[f18652,f136]) ).
fof(f19714,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ ordinal(X0)
| ~ ordinal(X1)
| in(X0,X1) ),
inference(duplicate_literal_removal,[],[f19670]) ).
fof(f19720,plain,
! [X0,X1] :
( proper_subset(X1,X0)
| ~ ordinal(X1)
| in(X0,X1)
| ~ ordinal(X0)
| X0 = X1 ),
inference(resolution,[],[f19714,f119]) ).
fof(f19724,plain,
! [X0,X1] :
( ~ ordinal(X0)
| in(X1,X0)
| ~ ordinal(X1)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(resolution,[],[f19720,f133]) ).
fof(f19727,plain,
! [X0,X1] :
( ~ ordinal(X0)
| in(X1,X0)
| ~ ordinal(X1)
| X0 = X1
| in(X0,X1)
| ~ epsilon_transitive(X0) ),
inference(duplicate_literal_removal,[],[f19724]) ).
fof(f19728,plain,
! [X0,X1] :
( in(X1,X0)
| ~ ordinal(X0)
| ~ ordinal(X1)
| X0 = X1
| in(X0,X1) ),
inference(forward_subsumption_resolution,[],[f19727,f147]) ).
fof(f19790,plain,
( ~ ordinal(sK0)
| ~ ordinal(sK1)
| sK0 = sK1
| in(sK0,sK1) ),
inference(resolution,[],[f19728,f112]) ).
fof(f19944,plain,
( ~ ordinal(sK1)
| sK0 = sK1
| in(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f19790,f110]) ).
fof(f19961,plain,
( sK0 = sK1
| in(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f19944,f111]) ).
fof(f19967,plain,
in(sK0,sK1),
inference(forward_subsumption_resolution,[],[f19961,f113]) ).
fof(f19969,plain,
$false,
inference(forward_subsumption_resolution,[],[f19967,f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU233+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 04:14:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 13.10/2.73 % (1863625)Detected formulas, will run a generic FOF schedule.
% 13.10/2.73 % (1863632)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=3915819281:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.10/2.73 % (1863631)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=1886360661:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.10/2.73 % (1863633)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1771440337:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.10/2.73 % (1863636)dis-21_1_sil=8000:lcm=predicate:random_seed=3652423258: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)
% 13.10/2.73 % (1863635)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3250658983:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.10/2.73 % (1863634)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4172854357:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.10/2.73 % (1863630)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=144133051:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.10/2.73 % (1863633)Refutation not found, incomplete strategy
% 13.10/2.73 % (1863633)------------------------------
% 13.10/2.73 % (1863633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.73 % (1863633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.73 % (1863633)CaDiCaL version: 2.1.3
% 13.10/2.73 % (1863633)Termination reason: Refutation not found, incomplete strategy
% 13.10/2.73 % (1863633)Time elapsed: 0.001 s
% 13.10/2.73 % (1863633)Peak memory usage: 88 MB
% 13.10/2.73 % (1863634)Refutation not found, incomplete strategy
% 13.10/2.73 % (1863634)------------------------------
% 13.10/2.73 % (1863634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.73 % (1863634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.73 % (1863634)CaDiCaL version: 2.1.3
% 13.10/2.73 % (1863634)Termination reason: Refutation not found, incomplete strategy
% 13.10/2.73 % (1863634)Time elapsed: 0.002 s
% 13.10/2.73 % (1863634)Peak memory usage: 88 MB
% 13.10/2.73 % (1863634)Instructions burned: 1 (million)
% 13.10/2.73 % (1863636)Instruction limit reached!
% 13.10/2.73 % (1863636)------------------------------
% 13.10/2.73 % (1863636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.73 % (1863636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.73 % (1863636)CaDiCaL version: 2.1.3
% 13.10/2.73 % (1863636)Termination reason: Instruction limit
% 13.10/2.73 % (1863636)Termination phase: Saturation
% 13.10/2.73 % (1863636)Time elapsed: 0.080 s
% 13.10/2.73 % (1863636)Peak memory usage: 89 MB
% 13.10/2.73 % (1863636)Instructions burned: 132 (million)
% 13.10/2.73 % (1863635)Instruction limit reached!
% 13.10/2.73 % (1863635)------------------------------
% 13.10/2.73 % (1863635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.73 % (1863635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.73 % (1863635)CaDiCaL version: 2.1.3
% 13.10/2.73 % (1863635)Termination reason: Instruction limit
% 13.10/2.73 % (1863635)Termination phase: Saturation
% 13.10/2.73 % (1863635)Time elapsed: 0.094 s
% 13.10/2.73 % (1863635)Peak memory usage: 89 MB
% 13.10/2.73 % (1863635)Instructions burned: 140 (million)
% 13.10/2.73 % (1863634)------------------------------
% 13.10/2.73 % (1863634)------------------------------
% 13.10/2.73 % (1863633)------------------------------
% 13.10/2.73 % (1863633)------------------------------
% 13.10/2.73 % (1863644)lrs+10_1_sil=8000:sp=occurrence:random_seed=2580090719:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.10/2.73 % (1863645)lrs+10_1_sil=32000:urr=on:br=off:random_seed=7900369:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.10/2.73 % (1863645)Instruction limit reached!
% 13.10/2.73 % (1863645)------------------------------
% 13.10/2.73 % (1863645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.73 % (1863645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.82 % (1863645)CaDiCaL version: 2.1.3
% 20.44/3.82 % (1863645)Termination reason: Instruction limit
% 20.44/3.82 % (1863645)Termination phase: Saturation
% 20.44/3.82 % (1863645)Time elapsed: 0.081 s
% 20.44/3.82 % (1863645)Peak memory usage: 88 MB
% 20.44/3.82 % (1863645)Instructions burned: 158 (million)
% 20.44/3.82 % (1863648)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=932473095:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.44/3.82 % (1863647)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1133938733:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 20.44/3.82 % (1863644)Instruction limit reached!
% 20.44/3.82 % (1863644)------------------------------
% 20.44/3.82 % (1863644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.44/3.82 % (1863644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.82 % (1863644)CaDiCaL version: 2.1.3
% 20.44/3.82 % (1863644)Termination reason: Instruction limit
% 20.44/3.82 % (1863644)Termination phase: Saturation
% 20.44/3.82 % (1863644)Time elapsed: 0.183 s
% 20.44/3.82 % (1863644)Peak memory usage: 91 MB
% 20.44/3.82 % (1863644)Instructions burned: 285 (million)
% 20.44/3.82 % (1863648)Instruction limit reached!
% 20.44/3.82 % (1863648)------------------------------
% 20.44/3.82 % (1863648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.44/3.82 % (1863648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.82 % (1863648)CaDiCaL version: 2.1.3
% 20.44/3.82 % (1863648)Termination reason: Instruction limit
% 20.44/3.82 % (1863648)Termination phase: Saturation
% 20.44/3.82 % (1863648)Time elapsed: 0.073 s
% 20.44/3.82 % (1863648)Peak memory usage: 91 MB
% 20.44/3.82 % (1863648)Instructions burned: 250 (million)
% 20.44/3.82 % (1863650)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4104626298:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.44/3.82 % (1863650)Refutation not found, incomplete strategy
% 20.44/3.82 % (1863650)------------------------------
% 20.44/3.82 % (1863650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.44/3.82 % (1863650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.82 % (1863650)CaDiCaL version: 2.1.3
% 20.44/3.82 % (1863650)Termination reason: Refutation not found, incomplete strategy
% 20.44/3.82 % (1863650)Time elapsed: 0.002 s
% 20.44/3.82 % (1863650)Peak memory usage: 88 MB
% 20.44/3.82 % (1863650)Instructions burned: 2 (million)
% 20.44/3.82 % (1863654)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=257036336:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.44/3.82 % (1863654)Instruction limit reached!
% 20.44/3.82 % (1863654)------------------------------
% 20.44/3.82 % (1863654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.44/3.82 % (1863654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.82 % (1863654)CaDiCaL version: 2.1.3
% 20.44/3.82 % (1863654)Termination reason: Instruction limit
% 20.44/3.82 % (1863654)Termination phase: Saturation
% 20.44/3.82 % (1863654)Time elapsed: 0.044 s
% 20.44/3.82 % (1863654)Peak memory usage: 90 MB
% 20.44/3.82 % (1863654)Instructions burned: 115 (million)
% 20.44/3.82 % (1863653)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1150351130:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.44/3.82 % (1863647)Instruction limit reached!
% 20.44/3.82 % (1863647)------------------------------
% 20.44/3.82 % (1863647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.44/3.82 % (1863647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.82 % (1863647)CaDiCaL version: 2.1.3
% 20.44/3.82 % (1863647)Termination reason: Instruction limit
% 20.44/3.82 % (1863647)Termination phase: Saturation
% 20.44/3.82 % (1863647)Time elapsed: 0.215 s
% 20.44/3.82 % (1863647)Peak memory usage: 91 MB
% 20.44/3.82 % (1863647)Instructions burned: 325 (million)
% 20.44/3.82 % (1863658)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3860833134:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.44/3.82 % (1863650)------------------------------
% 20.44/3.82 % (1863650)------------------------------
% 20.44/3.82 % (1863658)Instruction limit reached!
% 20.44/3.82 % (1863658)------------------------------
% 20.44/3.82 % (1863658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863658)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863658)Termination reason: Instruction limit
% 29.01/4.95 % (1863658)Termination phase: Saturation
% 29.01/4.95 % (1863658)Time elapsed: 0.035 s
% 29.01/4.95 % (1863658)Peak memory usage: 89 MB
% 29.01/4.95 % (1863658)Instructions burned: 127 (million)
% 29.01/4.95 % (1863659)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3077351995:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 29.01/4.95 % (1863659)Instruction limit reached!
% 29.01/4.95 % (1863659)------------------------------
% 29.01/4.95 % (1863659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863659)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863659)Termination reason: Instruction limit
% 29.01/4.95 % (1863659)Termination phase: Saturation
% 29.01/4.95 % (1863659)Time elapsed: 0.043 s
% 29.01/4.95 % (1863659)Peak memory usage: 88 MB
% 29.01/4.95 % (1863659)Instructions burned: 116 (million)
% 29.01/4.95 % (1863661)lrs+10_1_sil=8000:sp=occurrence:random_seed=1217485265:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 29.01/4.95 % (1863662)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1925659417:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 29.01/4.95 % (1863664)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2385316388:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 29.01/4.95 % (1863662)Instruction limit reached!
% 29.01/4.95 % (1863662)------------------------------
% 29.01/4.95 % (1863662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863662)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863662)Termination reason: Instruction limit
% 29.01/4.95 % (1863662)Termination phase: Saturation
% 29.01/4.95 % (1863662)Time elapsed: 0.176 s
% 29.01/4.95 % (1863662)Peak memory usage: 90 MB
% 29.01/4.95 % (1863662)Instructions burned: 439 (million)
% 29.01/4.95 % (1863668)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3391203301:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 29.01/4.95 % (1863668)Instruction limit reached!
% 29.01/4.95 % (1863668)------------------------------
% 29.01/4.95 % (1863668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863668)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863668)Termination reason: Instruction limit
% 29.01/4.95 % (1863668)Termination phase: Saturation
% 29.01/4.95 % (1863668)Time elapsed: 0.038 s
% 29.01/4.95 % (1863668)Peak memory usage: 93 MB
% 29.01/4.95 % (1863668)Instructions burned: 136 (million)
% 29.01/4.95 % (1863670)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3244492361:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 29.01/4.95 % (1863661)Instruction limit reached!
% 29.01/4.95 % (1863661)------------------------------
% 29.01/4.95 % (1863661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863661)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863661)Termination reason: Instruction limit
% 29.01/4.95 % (1863661)Termination phase: Saturation
% 29.01/4.95 % (1863661)Time elapsed: 0.527 s
% 29.01/4.95 % (1863661)Peak memory usage: 95 MB
% 29.01/4.95 % (1863661)Instructions burned: 908 (million)
% 29.01/4.95 % (1863670)Instruction limit reached!
% 29.01/4.95 % (1863670)------------------------------
% 29.01/4.95 % (1863670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863670)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863670)Termination reason: Instruction limit
% 29.01/4.95 % (1863670)Termination phase: Saturation
% 29.01/4.95 % (1863670)Time elapsed: 0.191 s
% 29.01/4.95 % (1863670)Peak memory usage: 92 MB
% 29.01/4.95 % (1863670)Instructions burned: 595 (million)
% 29.01/4.95 % (1863672)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2829398135:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 29.01/4.95 % (1863673)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3043827891:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 29.01/4.95 % (1863673)Instruction limit reached!
% 29.01/4.95 % (1863673)------------------------------
% 29.01/4.95 % (1863673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863673)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863673)Termination reason: Instruction limit
% 29.01/4.95 % (1863673)Termination phase: Saturation
% 29.01/4.95 % (1863673)Time elapsed: 0.053 s
% 29.01/4.95 % (1863673)Peak memory usage: 90 MB
% 29.01/4.95 % (1863673)Instructions burned: 127 (million)
% 29.01/4.95 % (1863676)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2618372493:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 29.01/4.95 % (1863676)Instruction limit reached!
% 29.01/4.95 % (1863676)------------------------------
% 29.01/4.95 % (1863676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863676)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863676)Termination reason: Instruction limit
% 29.01/4.95 % (1863676)Termination phase: Saturation
% 29.01/4.95 % (1863676)Time elapsed: 0.049 s
% 29.01/4.95 % (1863676)Peak memory usage: 90 MB
% 29.01/4.95 % (1863676)Instructions burned: 136 (million)
% 29.01/4.95 % (1863678)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=155601374:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 29.01/4.95 % (1863678)Refutation not found, incomplete strategy
% 29.01/4.95 % (1863678)------------------------------
% 29.01/4.95 % (1863678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863678)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863678)Termination reason: Refutation not found, incomplete strategy
% 29.01/4.95 % (1863678)Time elapsed: 0.001 s
% 29.01/4.95 % (1863678)Peak memory usage: 88 MB
% 29.01/4.95 % (1863678)Instructions burned: 1 (million)
% 29.01/4.95 % (1863653)Instruction limit reached!
% 29.01/4.95 % (1863653)------------------------------
% 29.01/4.95 % (1863653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863653)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863653)Termination reason: Instruction limit
% 29.01/4.95 % (1863653)Termination phase: Saturation
% 29.01/4.95 % (1863653)Time elapsed: 1.501 s
% 29.01/4.95 % (1863653)Peak memory usage: 141 MB
% 29.01/4.95 % (1863653)Instructions burned: 2351 (million)
% 29.01/4.95 % (1863678)------------------------------
% 29.01/4.95 % (1863678)------------------------------
% 29.01/4.95 % (1863680)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3670124741:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 29.01/4.95 % (1863681)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2722529460:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 29.01/4.95 % (1863680)Instruction limit reached!
% 29.01/4.95 % (1863680)------------------------------
% 29.01/4.95 % (1863680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863680)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863680)Termination reason: Instruction limit
% 29.01/4.95 % (1863680)Termination phase: Saturation
% 29.01/4.95 % (1863680)Time elapsed: 0.246 s
% 29.01/4.95 % (1863680)Peak memory usage: 91 MB
% 29.01/4.95 % (1863680)Instructions burned: 432 (million)
% 29.01/4.95 % (1863684)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=764060733:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 29.01/4.95 % (1863684)Instruction limit reached!
% 29.01/4.95 % (1863684)------------------------------
% 29.01/4.95 % (1863684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.01/4.95 % (1863684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.01/4.95 % (1863684)CaDiCaL version: 2.1.3
% 29.01/4.95 % (1863684)Termination reason: Instruction limit
% 29.01/4.95 % (1863684)Termination phase: Saturation
% 29.01/4.95 % (1863684)Time elapsed: 0.083 s
% 29.01/4.95 % (1863684)Peak memory usage: 90 MB
% 29.01/4.95 % (1863684)Instructions burned: 150 (million)
% 29.01/4.95 % (1863686)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=874687428:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 29.01/4.95 % (1863664)First to succeed.
% 29.01/4.95 % (1863664)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1863625"
% 29.01/4.95 % (1863664)Refutation found. Thanks to Tanya!
% 29.01/4.95 % SZS status Theorem for theBenchmark
% 29.01/4.95 % SZS output start Proof for theBenchmark
% See solution above
% 29.60/5.16 % (1863664)------------------------------
% 29.60/5.16 % (1863664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.60/5.16 % (1863664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.60/5.16 % (1863664)CaDiCaL version: 2.1.3
% 29.60/5.16 % (1863664)Termination reason: Refutation
% 29.60/5.16 % (1863664)Time elapsed: 2.635 s
% 29.60/5.16 % (1863664)Peak memory usage: 151 MB
% 29.60/5.16 % (1863664)Instructions burned: 4123 (million)
% 29.60/5.16 % (1863664)------------------------------
% 29.60/5.16 % (1863664)------------------------------
% 29.60/5.16 % (1863625)Success in time 4.095 s
% 29.60/5.16 % Vampire exiting
%------------------------------------------------------------------------------