%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM397+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:24:07 PM UTC 2026
% Result : Theorem 83.39s 12.27s
% Output : Refutation 83.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 116 ( 20 unt; 1 def)
% Number of atoms : 349 ( 23 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 391 ( 158 ~; 156 |; 56 &)
% ( 8 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 162 ( 1 sgn 147 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f6,axiom,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f7,axiom,
! [X0] :
( empty(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0)
& ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_ordinal1) ).
fof(f9,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f10,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(f12,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f13,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f32,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f34,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f35,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(f36,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f37,conjecture,
! [X0] :
( ordinal(X0)
=> ordinal(union(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_ordinal1) ).
fof(f38,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ordinal(union(X0)) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f41,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f45,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(f46,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f32]) ).
fof(f58,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f62,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f63,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0)
& ordinal(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f67,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f68,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f75,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f79,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
? [X0] :
( ~ ordinal(union(X0))
& ordinal(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f81,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f82,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f87,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f88,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,[],[f67]) ).
fof(f89,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f88]) ).
fof(f90,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))],[f89]) ).
fof(f91,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,[],[f68]) ).
fof(f92,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,[],[f91]) ).
fof(f93,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))],[f92]) ).
fof(f96,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) ) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f97,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X2,X4)
& in(X4,X0) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ? [X7] :
( in(X5,X7)
& in(X7,X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ( ( ! [X3] :
( ~ in(sK3(X0,X1),X3)
| ~ in(X3,X0) )
| ~ in(sK3(X0,X1),X1) )
& ( ( in(sK3(X0,X1),sK4(X0,X1))
& in(sK4(X0,X1),X0) )
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ( in(X5,sK5(X0,X5))
& in(sK5(X0,X5),X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f97]) ).
fof(f99,plain,
! [X0] : element(sK6(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f13]) ).
fof(f113,plain,
( ~ ordinal(union(sK19))
& ordinal(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f80]) ).
fof(f114,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f118,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f122,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f123,plain,
! [X0] :
( ~ empty(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f127,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X0] :
( epsilon_transitive(X0)
| in(sK0(X0),X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f129,plain,
! [X0] :
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f131,plain,
! [X0] :
( ~ in(sK2(X0),sK1(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f133,plain,
! [X0] :
( ~ in(sK1(X0),sK2(X0))
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK2(X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f135,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK1(X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f139,plain,
! [X0,X1,X5] :
( in(sK5(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f140,plain,
! [X0,X1,X5] :
( in(X5,sK5(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f145,plain,
! [X0] : element(sK6(X0),X0),
inference(cnf_transformation,[],[f99]) ).
fof(f187,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f189,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f190,plain,
! [X0,X1] :
( ~ ordinal(X1)
| X0 = X1
| in(X1,X0)
| in(X0,X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f191,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f192,plain,
ordinal(sK19),
inference(cnf_transformation,[],[f113]) ).
fof(f193,plain,
~ ordinal(union(sK19)),
inference(cnf_transformation,[],[f113]) ).
fof(f195,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f203,plain,
! [X0,X5] :
( in(X5,sK5(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f140]) ).
fof(f204,plain,
! [X0,X5] :
( in(sK5(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f139]) ).
fof(f226,plain,
epsilon_transitive(sK19),
inference(unit_resulting_resolution,[],[f118,f192]) ).
fof(f241,plain,
~ empty(union(sK19)),
inference(unit_resulting_resolution,[],[f123,f193]) ).
fof(f377,plain,
! [X0] : element(X0,powerset(X0)),
inference(unit_resulting_resolution,[],[f195,f187]) ).
fof(f428,plain,
! [X0] :
( ~ in(sK0(union(X0)),X0)
| epsilon_transitive(union(X0)) ),
inference(resolution,[],[f201,f129]) ).
fof(f431,plain,
in(sK6(union(sK19)),union(sK19)),
inference(unit_resulting_resolution,[],[f191,f241,f145]) ).
fof(f488,definition,
( spl20_3
<=> epsilon_transitive(union(sK19)) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f489,plain,
( epsilon_transitive(union(sK19))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( ~ epsilon_transitive(union(sK19))
| spl20_3 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f634,plain,
! [X0,X1] :
( ~ ordinal(sK5(X1,X0))
| ordinal(X0)
| ~ in(X0,union(X1)) ),
inference(resolution,[],[f203,f189]) ).
fof(f813,plain,
in(sK5(sK19,sK6(union(sK19))),sK19),
inference(unit_resulting_resolution,[],[f204,f431]) ).
fof(f824,plain,
! [X0,X1] :
( subset(sK5(X1,X0),X1)
| ~ in(X0,union(X1))
| ~ epsilon_transitive(X1) ),
inference(resolution,[],[f204,f127]) ).
fof(f845,plain,
( ~ epsilon_connected(union(sK19))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f122,f193,f489]) ).
fof(f848,plain,
( ~ in(sK2(union(sK19)),sK1(union(sK19)))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f131,f845]) ).
fof(f849,plain,
( sK2(union(sK19)) != sK1(union(sK19))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f132,f845]) ).
fof(f850,plain,
( ~ in(sK1(union(sK19)),sK2(union(sK19)))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f133,f845]) ).
fof(f851,plain,
( in(sK2(union(sK19)),union(sK19))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f134,f845]) ).
fof(f852,plain,
( in(sK1(union(sK19)),union(sK19))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f135,f845]) ).
fof(f878,plain,
( in(sK5(sK19,sK2(union(sK19))),sK19)
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f204,f851]) ).
fof(f879,plain,
( in(sK2(union(sK19)),sK5(sK19,sK2(union(sK19))))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f203,f851]) ).
fof(f902,plain,
( in(sK5(sK19,sK1(union(sK19))),sK19)
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f204,f852]) ).
fof(f950,plain,
~ empty(sK19),
inference(unit_resulting_resolution,[],[f197,f377,f813]) ).
fof(f1045,plain,
( ordinal(sK5(sK19,sK2(union(sK19))))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f189,f192,f878]) ).
fof(f1081,plain,
( ordinal(sK5(sK19,sK1(union(sK19))))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f189,f192,f902]) ).
fof(f1593,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f196,f195]) ).
fof(f2852,plain,
( ordinal(sK2(union(sK19)))
| ~ ordinal(sK5(sK19,sK2(union(sK19))))
| ~ spl20_3 ),
inference(resolution,[],[f879,f189]) ).
fof(f2855,plain,
( ordinal(sK2(union(sK19)))
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f2852,f1045]) ).
fof(f2872,plain,
( ~ ordinal(sK1(union(sK19)))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f190,f848,f850,f849,f2855]) ).
fof(f10735,plain,
( ordinal(sK1(union(sK19)))
| ~ in(sK1(union(sK19)),union(sK19))
| ~ spl20_3 ),
inference(resolution,[],[f634,f1081]) ).
fof(f10741,plain,
( ~ in(sK1(union(sK19)),union(sK19))
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f10735,f2872]) ).
fof(f10748,plain,
( $false
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f10741,f852]) ).
fof(f10749,plain,
~ spl20_3,
inference(avatar_contradiction_clause,[],[f10748]) ).
fof(f10750,plain,
( ~ in(sK0(union(sK19)),sK19)
| spl20_3 ),
inference(unit_resulting_resolution,[],[f428,f490]) ).
fof(f10752,plain,
( in(sK0(union(sK19)),union(sK19))
| spl20_3 ),
inference(unit_resulting_resolution,[],[f128,f490]) ).
fof(f11171,plain,
( ~ element(sK0(union(sK19)),sK19)
| spl20_3 ),
inference(unit_resulting_resolution,[],[f191,f950,f10750]) ).
fof(f12111,plain,
( in(sK0(union(sK19)),sK5(sK19,sK0(union(sK19))))
| spl20_3 ),
inference(unit_resulting_resolution,[],[f203,f10752]) ).
fof(f12116,plain,
( subset(sK5(sK19,sK0(union(sK19))),sK19)
| spl20_3 ),
inference(unit_resulting_resolution,[],[f824,f226,f10752]) ).
fof(f32830,plain,
( element(sK0(union(sK19)),sK19)
| spl20_3 ),
inference(unit_resulting_resolution,[],[f1593,f12116,f12111]) ).
fof(f32864,plain,
( $false
| spl20_3 ),
inference(forward_subsumption_resolution,[],[f32830,f11171]) ).
fof(f32865,plain,
spl20_3,
inference(avatar_contradiction_clause,[],[f32864]) ).
cnf(s60,plain,
~ spl20_3,
inference(sat_conversion,[],[f10749]) ).
cnf(s89,plain,
spl20_3,
inference(sat_conversion,[],[f32865]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s60,s89]) ).
fof(f32866,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM397+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 19:48:39 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.68/3.01 % (2683243)Will run a generic schedule for satisfiability detection.
% 16.68/3.01 % (2683257)dis+10_1_sil=32000:sp=arity:random_seed=2753865050:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.68/3.01 % (2683255)% WARNING: option uhcvi not known.
% 16.68/3.01 % (2683254)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=292725631_2999 on theBenchmark for (2999ds/0Mi)
% 16.68/3.01 % (2683255)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=732135917:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.68/3.01 % (2683256)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3033169209:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.68/3.01 % (2683258)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=942554425:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.68/3.01 % (2683259)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2918316553:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.68/3.01 % (2683260)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2432531712:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.68/3.01 % TRYING [1]
% 16.68/3.01 % TRYING [2]
% 16.68/3.01 % TRYING [3]
% 16.68/3.01 % TRYING [4]
% 16.68/3.01 % TRYING [5]
% 16.68/3.01 % (2683257)Instruction limit reached!
% 16.68/3.01 % (2683257)------------------------------
% 16.68/3.01 % (2683257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/3.01 % (2683257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/3.01 % (2683257)CaDiCaL version: 2.1.3
% 16.68/3.01 % (2683257)Termination reason: Instruction limit
% 16.68/3.01 % (2683257)Termination phase: Saturation
% 16.68/3.01 % (2683257)Time elapsed: 0.034 s
% 16.68/3.01 % (2683257)Peak memory usage: 12 MB
% 16.68/3.01 % (2683257)Instructions burned: 106 (million)
% 16.68/3.01 % (2683268)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=708596109:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.68/3.01 % TRYING [6]
% 16.68/3.01 % TRYING [1]
% 16.68/3.01 % TRYING [2]
% 16.68/3.01 % TRYING [3]
% 16.68/3.01 % TRYING [4]
% 16.68/3.01 % TRYING [5]
% 16.68/3.01 % TRYING [6]
% 16.68/3.01 % (2683258)Instruction limit reached!
% 16.68/3.01 % (2683258)------------------------------
% 16.68/3.01 % (2683258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/3.01 % (2683258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/3.01 % (2683258)CaDiCaL version: 2.1.3
% 16.68/3.01 % (2683258)Termination reason: Instruction limit
% 16.68/3.01 % (2683258)Termination phase: Saturation
% 16.68/3.01 % (2683258)Time elapsed: 0.066 s
% 16.68/3.01 % (2683258)Peak memory usage: 12 MB
% 16.68/3.01 % (2683258)Instructions burned: 117 (million)
% 16.68/3.01 % (2683259)Instruction limit reached!
% 16.68/3.01 % (2683259)------------------------------
% 16.68/3.01 % (2683259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/3.01 % (2683259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/3.01 % (2683259)CaDiCaL version: 2.1.3
% 16.68/3.01 % (2683259)Termination reason: Instruction limit
% 16.68/3.01 % (2683259)Termination phase: Saturation
% 16.68/3.01 % (2683259)Time elapsed: 0.077 s
% 16.68/3.01 % (2683259)Peak memory usage: 12 MB
% 16.68/3.01 % (2683259)Instructions burned: 131 (million)
% 16.68/3.01 % (2683270)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3515387563:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.68/3.01 % (2683271)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3909299134:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.68/3.01 % (2683260)Instruction limit reached!
% 16.68/3.01 % (2683260)------------------------------
% 16.68/3.01 % (2683260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/3.01 % (2683260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/3.01 % (2683260)CaDiCaL version: 2.1.3
% 16.68/3.01 % (2683260)Termination reason: Instruction limit
% 16.68/3.01 % (2683260)Termination phase: Saturation
% 16.68/3.01 % (2683260)Time elapsed: 0.108 s
% 16.68/3.01 % (2683260)Peak memory usage: 14 MB
% 16.68/3.01 % (2683260)Instructions burned: 159 (million)
% 16.68/3.01 % (2683274)ott-21_1_sil=16000:fs=off:random_seed=823010658:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.68/3.01 % (2683270)Instruction limit reached!
% 16.68/3.01 % (2683270)------------------------------
% 16.68/3.01 % (2683270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.09/6.86 % (2683270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.09/6.86 % (2683270)CaDiCaL version: 2.1.3
% 45.09/6.86 % (2683270)Termination reason: Instruction limit
% 45.09/6.86 % (2683270)Termination phase: Saturation
% 45.09/6.86 % (2683270)Time elapsed: 0.088 s
% 45.09/6.86 % (2683270)Peak memory usage: 13 MB
% 45.09/6.86 % (2683270)Instructions burned: 132 (million)
% 45.09/6.86 % TRYING [7]
% 45.09/6.86 % (2683276)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1048462431:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.09/6.86 % TRYING [7]
% 45.09/6.86 % (2683274)Instruction limit reached!
% 45.09/6.86 % (2683274)------------------------------
% 45.09/6.86 % (2683274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.09/6.86 % (2683274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.09/6.86 % (2683274)CaDiCaL version: 2.1.3
% 45.09/6.86 % (2683274)Termination reason: Instruction limit
% 45.09/6.86 % (2683274)Termination phase: Saturation
% 45.09/6.86 % (2683274)Time elapsed: 0.111 s
% 45.09/6.86 % (2683274)Peak memory usage: 13 MB
% 45.09/6.86 % (2683274)Instructions burned: 181 (million)
% 45.09/6.86 % (2683268)Instruction limit reached!
% 45.09/6.86 % (2683268)------------------------------
% 45.09/6.86 % (2683268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.09/6.86 % (2683268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.09/6.86 % (2683268)CaDiCaL version: 2.1.3
% 45.09/6.86 % (2683268)Termination reason: Instruction limit
% 45.09/6.86 % (2683268)Termination phase: Finite model building SAT solving
% 45.09/6.86 % (2683268)Time elapsed: 0.224 s
% 45.09/6.86 % (2683268)Peak memory usage: 14 MB
% 45.09/6.86 % (2683268)Instructions burned: 714 (million)
% 45.09/6.86 % (2683286)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3147758015:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.09/6.86 % TRYING [1]
% 45.09/6.86 % TRYING [2]
% 45.09/6.86 % TRYING [3]
% 45.09/6.86 % (2683293)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2974365814:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 45.09/6.86 % TRYING [4]
% 45.09/6.86 % TRYING [5]
% 45.09/6.86 % TRYING [6]
% 45.09/6.86 % TRYING [7]
% 45.09/6.86 % (2683271)Instruction limit reached!
% 45.09/6.86 % (2683271)------------------------------
% 45.09/6.86 % (2683271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.09/6.86 % (2683271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.09/6.86 % (2683271)CaDiCaL version: 2.1.3
% 45.09/6.86 % (2683271)Termination reason: Instruction limit
% 45.09/6.86 % (2683271)Termination phase: Saturation
% 45.09/6.86 % (2683271)Time elapsed: 0.400 s
% 45.09/6.86 % (2683271)Peak memory usage: 19 MB
% 45.09/6.86 % (2683271)Instructions burned: 684 (million)
% 45.09/6.86 % (2683295)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=269891286:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 45.09/6.86 % TRYING [14]
% 45.09/6.86 % (2683276)Instruction limit reached!
% 45.09/6.86 % (2683276)------------------------------
% 45.09/6.86 % (2683276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.09/6.86 % (2683276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.09/6.86 % (2683276)CaDiCaL version: 2.1.3
% 45.09/6.86 % (2683276)Termination reason: Instruction limit
% 45.09/6.86 % (2683276)Termination phase: Saturation
% 45.09/6.86 % (2683276)Time elapsed: 0.339 s
% 45.09/6.86 % (2683276)Peak memory usage: 14 MB
% 45.09/6.86 % (2683276)Instructions burned: 477 (million)
% 45.09/6.86 % (2683297)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3116234420:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 45.09/6.86 % (2683293)Instruction limit reached!
% 45.09/6.86 % (2683293)------------------------------
% 45.09/6.86 % (2683293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.09/6.86 % (2683293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.09/6.86 % (2683293)CaDiCaL version: 2.1.3
% 45.09/6.86 % (2683293)Termination reason: Instruction limit
% 45.09/6.86 % (2683293)Termination phase: Saturation
% 45.09/6.86 % (2683293)Time elapsed: 0.367 s
% 45.09/6.86 % (2683293)Peak memory usage: 19 MB
% 45.09/6.86 % (2683293)Instructions burned: 1181 (million)
% 45.09/6.86 % (2683299)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3779615667:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 83.39/12.27 % (2683286)Instruction limit reached!
% 83.39/12.27 % (2683286)------------------------------
% 83.39/12.27 % (2683286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683286)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683286)Termination reason: Instruction limit
% 83.39/12.27 % (2683286)Termination phase: Finite model building SAT solving
% 83.39/12.27 % (2683286)Time elapsed: 0.564 s
% 83.39/12.27 % (2683286)Peak memory usage: 14 MB
% 83.39/12.27 % (2683286)Instructions burned: 865 (million)
% 83.39/12.27 % (2683309)fmb+10_1_sil=64000:random_seed=4139814209:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 83.39/12.27 % TRYING [1]
% 83.39/12.27 % TRYING [2]
% 83.39/12.27 % TRYING [3]
% 83.39/12.27 % TRYING [4]
% 83.39/12.27 % TRYING [5]
% 83.39/12.27 % TRYING [6]
% 83.39/12.27 % (2683295)Instruction limit reached!
% 83.39/12.27 % (2683295)------------------------------
% 83.39/12.27 % (2683295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683295)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683295)Termination reason: Instruction limit
% 83.39/12.27 % (2683295)Termination phase: Finite model building SAT solving
% 83.39/12.27 % (2683295)Time elapsed: 0.397 s
% 83.39/12.27 % (2683295)Peak memory usage: 37 MB
% 83.39/12.27 % (2683295)Instructions burned: 891 (million)
% 83.39/12.27 % (2683313)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1162970744:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 83.39/12.27 % TRYING [20]
% 83.39/12.27 % TRYING [7]
% 83.39/12.27 % (2683299)Instruction limit reached!
% 83.39/12.27 % (2683299)------------------------------
% 83.39/12.27 % (2683299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683299)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683299)Termination reason: Instruction limit
% 83.39/12.27 % (2683299)Termination phase: Saturation
% 83.39/12.27 % (2683299)Time elapsed: 0.393 s
% 83.39/12.27 % (2683299)Peak memory usage: 18 MB
% 83.39/12.27 % (2683299)Instructions burned: 879 (million)
% 83.39/12.27 % (2683297)Instruction limit reached!
% 83.39/12.27 % (2683297)------------------------------
% 83.39/12.27 % (2683297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683297)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683297)Termination reason: Instruction limit
% 83.39/12.27 % (2683297)Termination phase: Saturation
% 83.39/12.27 % (2683297)Time elapsed: 0.493 s
% 83.39/12.27 % (2683297)Peak memory usage: 18 MB
% 83.39/12.27 % (2683297)Instructions burned: 693 (million)
% 83.39/12.27 % (2683320)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=259289100:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 83.39/12.27 % (2683321)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3027420383:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 83.39/12.27 % TRYING [8]
% 83.39/12.27 % (2683320)Instruction limit reached!
% 83.39/12.27 % (2683320)------------------------------
% 83.39/12.27 % (2683320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683320)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683320)Termination reason: Instruction limit
% 83.39/12.27 % (2683320)Termination phase: Finite model building SAT solving
% 83.39/12.27 % (2683320)Time elapsed: 0.617 s
% 83.39/12.27 % (2683320)Peak memory usage: 19 MB
% 83.39/12.27 % (2683320)Instructions burned: 921 (million)
% 83.39/12.27 % (2683325)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3822006854:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 83.39/12.27 % TRYING [8]
% 83.39/12.27 % (2683321)Instruction limit reached!
% 83.39/12.27 % (2683321)------------------------------
% 83.39/12.27 % (2683321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683321)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683321)Termination reason: Instruction limit
% 83.39/12.27 % (2683321)Termination phase: Saturation
% 83.39/12.27 % (2683321)Time elapsed: 1.464 s
% 83.39/12.27 % (2683321)Peak memory usage: 21 MB
% 83.39/12.27 % (2683321)Instructions burned: 5141 (million)
% 83.39/12.27 % (2683325)Instruction limit reached!
% 83.39/12.27 % (2683325)------------------------------
% 83.39/12.27 % (2683325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683325)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683325)Termination reason: Instruction limit
% 83.39/12.27 % (2683325)Termination phase: Saturation
% 83.39/12.27 % (2683325)Time elapsed: 0.836 s
% 83.39/12.27 % (2683325)Peak memory usage: 29 MB
% 83.39/12.27 % (2683325)Instructions burned: 1473 (million)
% 83.39/12.27 % (2683479)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1376751448:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 83.39/12.27 % TRYING [8]
% 83.39/12.27 % TRYING [77]
% 83.39/12.27 % (2683480)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=245158671:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 83.39/12.27 % TRYING [16]
% 83.39/12.27 % (2683480)Instruction limit reached!
% 83.39/12.27 % (2683480)------------------------------
% 83.39/12.27 % (2683480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683480)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683480)Termination reason: Instruction limit
% 83.39/12.27 % (2683480)Termination phase: Finite model building constraint generation
% 83.39/12.27 % (2683480)Time elapsed: 0.837 s
% 83.39/12.27 % (2683480)Peak memory usage: 155 MB
% 83.39/12.27 % (2683480)Instructions burned: 2175 (million)
% 83.39/12.27 % (2683483)ott-2_1_sil=16000:newcnf=on:random_seed=2699566646:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2965 on theBenchmark for (2965ds/869Mi)
% 83.39/12.27 % (2683479)Instruction limit reached!
% 83.39/12.27 % (2683479)------------------------------
% 83.39/12.27 % (2683479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683479)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683479)Termination reason: Instruction limit
% 83.39/12.27 % (2683479)Termination phase: Finite model building constraint generation
% 83.39/12.27 % (2683479)Time elapsed: 1.207 s
% 83.39/12.27 % (2683479)Peak memory usage: 413 MB
% 83.39/12.27 % (2683479)Instructions burned: 6325 (million)
% 83.39/12.27 % (2683485)ott+10_1_sil=32000:tgt=ground:random_seed=2344845820:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 83.39/12.27 % (2683483)Instruction limit reached!
% 83.39/12.27 % (2683483)------------------------------
% 83.39/12.27 % (2683483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683483)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683483)Termination reason: Instruction limit
% 83.39/12.27 % (2683483)Termination phase: Saturation
% 83.39/12.27 % (2683483)Time elapsed: 0.521 s
% 83.39/12.27 % (2683483)Peak memory usage: 16 MB
% 83.39/12.27 % (2683483)Instructions burned: 869 (million)
% 83.39/12.27 % (2683487)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3294421606:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 83.39/12.27 % TRYING [1]
% 83.39/12.27 % TRYING [2]
% 83.39/12.27 % TRYING [3]
% 83.39/12.27 % TRYING [4]
% 83.39/12.27 % TRYING [5]
% 83.39/12.27 % TRYING [6]
% 83.39/12.27 % TRYING [7]
% 83.39/12.27 % (2683485)Instruction limit reached!
% 83.39/12.27 % (2683485)------------------------------
% 83.39/12.27 % (2683485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683485)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683485)Termination reason: Instruction limit
% 83.39/12.27 % (2683485)Termination phase: Saturation
% 83.39/12.27 % (2683485)Time elapsed: 1.641 s
% 83.39/12.27 % (2683485)Peak memory usage: 34 MB
% 83.39/12.27 % (2683485)Instructions burned: 5115 (million)
% 83.39/12.27 % (2683489)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3630294273:i=3512:aac=none_2945 on theBenchmark for (2945ds/3512Mi)
% 83.39/12.27 % (2683313)Instruction limit reached!
% 83.39/12.27 % (2683313)------------------------------
% 83.39/12.27 % (2683313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683313)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683313)Termination reason: Instruction limit
% 83.39/12.27 % (2683313)Termination phase: Finite model building SAT solving
% 83.39/12.27 % (2683313)Time elapsed: 5.385 s
% 83.39/12.27 % (2683313)Peak memory usage: 160 MB
% 83.39/12.27 % (2683313)Instructions burned: 9516 (million)
% 83.39/12.27 % (2683491)dis+21_1_sil=32000:sas=cadical:random_seed=544421634:i=3773:amm=off_2935 on theBenchmark for (2935ds/3773Mi)
% 83.39/12.27 % TRYING [8]
% 83.39/12.27 % (2683489)Instruction limit reached!
% 83.39/12.27 % (2683489)------------------------------
% 83.39/12.27 % (2683489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683489)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683489)Termination reason: Instruction limit
% 83.39/12.27 % (2683489)Termination phase: Saturation
% 83.39/12.27 % (2683489)Time elapsed: 1.004 s
% 83.39/12.27 % (2683489)Peak memory usage: 22 MB
% 83.39/12.27 % (2683489)Instructions burned: 3515 (million)
% 83.39/12.27 % (2683493)ott+11_1_sil=16000:gs=on:random_seed=3714664358:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2934 on theBenchmark for (2934ds/2251Mi)
% 83.39/12.27 % (2683493)Instruction limit reached!
% 83.39/12.27 % (2683493)------------------------------
% 83.39/12.27 % (2683493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683493)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683493)Termination reason: Instruction limit
% 83.39/12.27 % (2683493)Termination phase: Saturation
% 83.39/12.27 % (2683493)Time elapsed: 0.750 s
% 83.39/12.27 % (2683493)Peak memory usage: 41 MB
% 83.39/12.27 % (2683493)Instructions burned: 2254 (million)
% 83.39/12.27 % (2683495)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2166010732:fmbsr=1.6:i=67534_2927 on theBenchmark for (2927ds/67534Mi)
% 83.39/12.27 % TRYING [7]
% 83.39/12.27 % (2683491)Instruction limit reached!
% 83.39/12.27 % (2683491)------------------------------
% 83.39/12.27 % (2683491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683491)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683491)Termination reason: Instruction limit
% 83.39/12.27 % (2683491)Termination phase: Saturation
% 83.39/12.27 % (2683491)Time elapsed: 2.110 s
% 83.39/12.27 % (2683491)Peak memory usage: 31 MB
% 83.39/12.27 % (2683491)Instructions burned: 3773 (million)
% 83.39/12.27 % (2683497)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1217325834:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2914 on theBenchmark for (2914ds/4591Mi)
% 83.39/12.27 % TRYING [8]
% 83.39/12.27 % (2683497)Instruction limit reached!
% 83.39/12.27 % (2683497)------------------------------
% 83.39/12.27 % (2683497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683497)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683497)Termination reason: Instruction limit
% 83.39/12.27 % (2683497)Termination phase: Saturation
% 83.39/12.27 % (2683497)Time elapsed: 2.379 s
% 83.39/12.27 % (2683497)Peak memory usage: 24 MB
% 83.39/12.27 % (2683497)Instructions burned: 4592 (million)
% 83.39/12.27 % (2683499)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=883675274:i=29340_2890 on theBenchmark for (2890ds/29340Mi)
% 83.39/12.27 % (2683499) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2683243-2683499"...
% 83.39/12.27 % (2683499)...printing done.
% 83.39/12.27 % (2683499)Refutation found. Thanks to Tanya!
% 83.39/12.27 % SZS status Theorem for theBenchmark
% 83.39/12.27 % SZS output start Proof for theBenchmark
% See solution above
% 83.39/12.27 % (2683499)------------------------------
% 83.39/12.27 % (2683499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.39/12.27 % (2683499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.39/12.27 % (2683499)CaDiCaL version: 2.1.3
% 83.39/12.27 % (2683499)Termination reason: Refutation
% 83.39/12.27 % (2683499)Time elapsed: 0.858 s
% 83.39/12.27 % (2683499)Peak memory usage: 23 MB
% 83.39/12.27 % (2683499)Instructions burned: 1466 (million)
% 83.39/12.27 % (2683243)Success in time 11.846 s
% 83.39/12.27 % Vampire exiting
%------------------------------------------------------------------------------