%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU231+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 17.95s 3.49s
% Output : Refutation 19.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of formulae : 213 ( 34 unt; 15 def)
% Number of atoms : 651 ( 55 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 700 ( 262 ~; 324 |; 79 &)
% ( 26 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 233 ( 2 sgn 217 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f9,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f11,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f13,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( subset(X0,X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f19,axiom,
! [X0,X1] : ~ proper_subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r2_xboole_0) ).
fof(f31,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f33,conjecture,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_ordinal1) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f36,axiom,
! [X0,X1] :
( set_difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f45,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(f47,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(rectify,[],[f19]) ).
fof(f48,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f31]) ).
fof(f58,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f64,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f65,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(f66,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f70,plain,
? [X0] :
( ? [X1] :
( ~ in(X0,X1)
& proper_subset(X0,X1)
& ordinal(X1) )
& epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ~ in(X0,X1)
& proper_subset(X0,X1)
& ordinal(X1) )
& epsilon_transitive(X0) ),
inference(flattening,[],[f70]) ).
fof(f80,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f82,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f83,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f82]) ).
fof(f84,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,[],[f64]) ).
fof(f85,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f84]) ).
fof(f86,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))],[f85]) ).
fof(f87,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,[],[f65]) ).
fof(f88,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,[],[f87]) ).
fof(f89,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))],[f88]) ).
fof(f90,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,[],[f66]) ).
fof(f91,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,[],[f90]) ).
fof(f92,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))],[f91]) ).
fof(f93,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,[],[f12]) ).
fof(f94,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,[],[f93]) ).
fof(f95,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,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),X0)
& ~ in(sK4(X0,X1,X2),X1) )
| in(sK4(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,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 )
& ( ( subset(X0,X1)
& X0 != X1 )
| ~ proper_subset(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f98,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 )
& ( ( subset(X0,X1)
& X0 != X1 )
| ~ proper_subset(X0,X1) ) ),
inference(flattening,[],[f97]) ).
fof(f111,plain,
( ~ in(sK17,sK18)
& proper_subset(sK17,sK18)
& ordinal(sK18)
& epsilon_transitive(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f71]) ).
fof(f112,plain,
! [X0,X1] :
( ( set_difference(X0,X1) = empty_set
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| set_difference(X0,X1) != empty_set ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f114,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK19(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK19(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X1))],[f80]) ).
fof(f118,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f119,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f126,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f127,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f130,plain,
! [X3,X0,X4] :
( ~ in(X4,X0)
| ~ in(X3,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f136,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f137,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f138,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f139,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f140,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f141,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f146,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f155,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(cnf_transformation,[],[f47]) ).
fof(f177,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f179,plain,
epsilon_transitive(sK17),
inference(cnf_transformation,[],[f111]) ).
fof(f180,plain,
ordinal(sK18),
inference(cnf_transformation,[],[f111]) ).
fof(f181,plain,
proper_subset(sK17,sK18),
inference(cnf_transformation,[],[f111]) ).
fof(f182,plain,
~ in(sK17,sK18),
inference(cnf_transformation,[],[f111]) ).
fof(f185,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f112]) ).
fof(f195,plain,
! [X3,X0,X1] :
( ~ in(X3,sK19(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f196,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK19(X1),X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f200,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f141]) ).
fof(f201,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f140]) ).
fof(f202,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f139]) ).
fof(f204,plain,
! [X0,X1] :
( subset(sK3(X0,X1),X0)
| subset(X0,X1)
| ~ epsilon_transitive(X0) ),
inference(resolution,[],[f137,f127]) ).
fof(f209,plain,
epsilon_connected(sK18),
inference(resolution,[],[f118,f180]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| in(sK19(set_difference(X0,X1)),set_difference(X0,X1))
| in(X2,X1) ),
inference(resolution,[],[f196,f200]) ).
fof(f216,plain,
subset(sK17,sK18),
inference(resolution,[],[f146,f181]) ).
fof(f217,plain,
! [X0] :
( ~ in(X0,sK17)
| in(X0,sK18) ),
inference(resolution,[],[f216,f136]) ).
fof(f218,plain,
( ~ subset(sK18,sK17)
| sK17 = sK18 ),
inference(resolution,[],[f216,f126]) ).
fof(f220,definition,
( spl20_1
<=> sK17 = sK18 ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f222,plain,
( sK17 = sK18
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f224,definition,
( spl20_2
<=> subset(sK18,sK17) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f226,plain,
( ~ subset(sK18,sK17)
| spl20_2 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,plain,
( spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f218,f224,f220]) ).
fof(f234,plain,
! [X0] :
( in(sK3(sK17,X0),sK18)
| subset(sK17,X0) ),
inference(resolution,[],[f217,f137]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ in(sK3(sK19(X0),X1),X0)
| ~ in(X2,X0)
| subset(sK19(X0),X1) ),
inference(resolution,[],[f195,f137]) ).
fof(f277,definition,
( spl20_8
<=> epsilon_transitive(sK18) ),
introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).
fof(f278,plain,
( epsilon_transitive(sK18)
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f279,plain,
( ~ epsilon_transitive(sK18)
| spl20_8 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ in(X2,sK3(X0,X1))
| ~ epsilon_transitive(X0)
| subset(X0,X1)
| in(X2,X0) ),
inference(resolution,[],[f204,f136]) ).
fof(f310,plain,
! [X2,X0,X1] :
( in(sK19(set_difference(X0,X1)),set_difference(X0,X1))
| in(sK3(X0,X2),X1)
| subset(X0,X2) ),
inference(resolution,[],[f215,f137]) ).
fof(f315,plain,
! [X2,X0,X1] :
( in(sK19(set_difference(X0,X1)),X0)
| in(sK3(X0,X2),X1)
| subset(X0,X2) ),
inference(resolution,[],[f310,f201]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( in(sK19(set_difference(X2,X3)),set_difference(X2,X3))
| in(sK19(set_difference(X0,X2)),set_difference(X0,X2))
| in(sK3(X0,X1),X3)
| subset(X0,X1) ),
inference(resolution,[],[f310,f215]) ).
fof(f363,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) ),
inference(resolution,[],[f130,f234]) ).
fof(f364,plain,
! [X0,X1] :
( in(sK3(sK17,X1),X0)
| in(X0,sK3(sK17,X1))
| sK3(sK17,X1) = X0
| ~ in(X0,sK18)
| subset(sK17,X1) ),
inference(forward_subsumption_resolution,[],[f363,f209]) ).
fof(f366,plain,
epsilon_transitive(sK18),
inference(resolution,[],[f119,f180]) ).
fof(f367,plain,
( $false
| spl20_8 ),
inference(forward_subsumption_resolution,[],[f366,f279]) ).
fof(f368,plain,
spl20_8,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f398,plain,
! [X0] : empty_set = set_difference(X0,X0),
inference(resolution,[],[f177,f185]) ).
fof(f404,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| ~ in(X0,X1) ),
inference(superposition,[],[f202,f398]) ).
fof(f406,plain,
! [X0,X1] :
( ~ in(X0,empty_set)
| in(X0,X1) ),
inference(superposition,[],[f201,f398]) ).
fof(f497,plain,
! [X0,X1] :
( in(sK19(set_difference(X0,X1)),X0)
| subset(X0,X1)
| subset(X0,X1) ),
inference(resolution,[],[f315,f138]) ).
fof(f515,plain,
! [X0,X1] :
( in(sK19(set_difference(X0,X1)),X0)
| subset(X0,X1) ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f608,plain,
! [X0] : ~ in(X0,empty_set),
inference(forward_subsumption_resolution,[],[f404,f406]) ).
fof(f767,plain,
( proper_subset(sK17,sK17)
| ~ spl20_1 ),
inference(superposition,[],[f181,f222]) ).
fof(f779,plain,
( $false
| ~ spl20_1 ),
inference(forward_subsumption_resolution,[],[f767,f155]) ).
fof(f780,plain,
~ spl20_1,
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f1161,plain,
! [X0] :
( in(X0,sK3(sK17,X0))
| sK3(sK17,X0) = X0
| ~ in(X0,sK18)
| subset(sK17,X0)
| subset(sK17,X0) ),
inference(resolution,[],[f364,f138]) ).
fof(f1194,plain,
! [X0] :
( in(X0,sK3(sK17,X0))
| sK3(sK17,X0) = X0
| ~ in(X0,sK18)
| subset(sK17,X0) ),
inference(duplicate_literal_removal,[],[f1161]) ).
fof(f1226,plain,
! [X2,X3,X0,X1] :
( ~ in(sK3(sK19(set_difference(X1,X2)),X3),X1)
| subset(sK19(set_difference(X1,X2)),X3)
| ~ in(X0,set_difference(X1,X2))
| in(sK3(sK19(set_difference(X1,X2)),X3),X2) ),
inference(resolution,[],[f254,f200]) ).
fof(f1649,plain,
! [X0] :
( sK3(sK17,X0) = X0
| ~ in(X0,sK18)
| subset(sK17,X0)
| ~ epsilon_transitive(sK17)
| subset(sK17,X0)
| in(X0,sK17) ),
inference(resolution,[],[f1194,f299]) ).
fof(f1656,plain,
! [X0] :
( sK3(sK17,X0) = X0
| ~ in(X0,sK18)
| subset(sK17,X0)
| ~ epsilon_transitive(sK17)
| in(X0,sK17) ),
inference(duplicate_literal_removal,[],[f1649]) ).
fof(f1657,plain,
! [X0] :
( ~ in(X0,sK18)
| sK3(sK17,X0) = X0
| subset(sK17,X0)
| in(X0,sK17) ),
inference(forward_subsumption_resolution,[],[f1656,f179]) ).
fof(f2322,plain,
! [X2,X0,X1] :
( in(sK19(set_difference(X2,X1)),set_difference(X2,X1))
| in(sK19(set_difference(X0,X2)),set_difference(X0,X2))
| subset(X0,X1)
| subset(X0,X1) ),
inference(resolution,[],[f320,f138]) ).
fof(f2356,plain,
! [X2,X0,X1] :
( in(sK19(set_difference(X2,X1)),set_difference(X2,X1))
| in(sK19(set_difference(X0,X2)),set_difference(X0,X2))
| subset(X0,X1) ),
inference(duplicate_literal_removal,[],[f2322]) ).
fof(f2372,plain,
! [X2,X0,X1] :
( ~ in(sK19(set_difference(X0,X1)),X1)
| subset(X0,X2)
| in(sK19(set_difference(X1,X2)),set_difference(X1,X2)) ),
inference(resolution,[],[f2356,f202]) ).
fof(f2781,definition,
( spl20_104
<=> in(sK19(set_difference(sK18,sK17)),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_104])],[avatar_definition]) ).
fof(f2782,plain,
( ~ in(sK19(set_difference(sK18,sK17)),sK17)
| spl20_104 ),
inference(avatar_component_clause,[],[f2781]) ).
fof(f2783,plain,
( in(sK19(set_difference(sK18,sK17)),sK17)
| ~ spl20_104 ),
inference(avatar_component_clause,[],[f2781]) ).
fof(f2785,definition,
( spl20_105
<=> subset(sK17,sK19(set_difference(sK18,sK17))) ),
introduced(definition,[new_symbols(definition,[spl20_105])],[avatar_definition]) ).
fof(f2789,definition,
( spl20_106
<=> sK19(set_difference(sK18,sK17)) = sK3(sK17,sK19(set_difference(sK18,sK17))) ),
introduced(definition,[new_symbols(definition,[spl20_106])],[avatar_definition]) ).
fof(f2790,plain,
( sK19(set_difference(sK18,sK17)) != sK3(sK17,sK19(set_difference(sK18,sK17)))
| spl20_106 ),
inference(avatar_component_clause,[],[f2789]) ).
fof(f2791,plain,
( sK19(set_difference(sK18,sK17)) = sK3(sK17,sK19(set_difference(sK18,sK17)))
| ~ spl20_106 ),
inference(avatar_component_clause,[],[f2789]) ).
fof(f2911,plain,
( in(sK19(set_difference(sK18,sK17)),sK17)
| subset(sK17,sK19(set_difference(sK18,sK17)))
| ~ spl20_106 ),
inference(superposition,[],[f137,f2791]) ).
fof(f2951,plain,
( spl20_105
| spl20_104
| ~ spl20_106 ),
inference(avatar_split_clause,[],[f2911,f2789,f2781,f2785]) ).
fof(f2953,definition,
( spl20_116
<=> in(sK19(set_difference(sK18,sK17)),sK18) ),
introduced(definition,[new_symbols(definition,[spl20_116])],[avatar_definition]) ).
fof(f2954,plain,
( ~ in(sK19(set_difference(sK18,sK17)),sK18)
| spl20_116 ),
inference(avatar_component_clause,[],[f2953]) ).
fof(f2955,plain,
( in(sK19(set_difference(sK18,sK17)),sK18)
| ~ spl20_116 ),
inference(avatar_component_clause,[],[f2953]) ).
fof(f2973,definition,
( spl20_120
<=> sK17 = sK19(set_difference(sK18,sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_120])],[avatar_definition]) ).
fof(f2975,plain,
( sK17 = sK19(set_difference(sK18,sK17))
| ~ spl20_120 ),
inference(avatar_component_clause,[],[f2973]) ).
fof(f2982,definition,
( spl20_122
<=> subset(sK19(set_difference(sK18,sK17)),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_122])],[avatar_definition]) ).
fof(f2983,plain,
( ~ subset(sK19(set_difference(sK18,sK17)),sK17)
| spl20_122 ),
inference(avatar_component_clause,[],[f2982]) ).
fof(f2984,plain,
( subset(sK19(set_difference(sK18,sK17)),sK17)
| ~ spl20_122 ),
inference(avatar_component_clause,[],[f2982]) ).
fof(f4036,definition,
( spl20_163
<=> in(sK3(sK18,sK17),sK18) ),
introduced(definition,[new_symbols(definition,[spl20_163])],[avatar_definition]) ).
fof(f4037,plain,
( in(sK3(sK18,sK17),sK18)
| ~ spl20_163 ),
inference(avatar_component_clause,[],[f4036]) ).
fof(f4038,plain,
( ~ in(sK3(sK18,sK17),sK18)
| spl20_163 ),
inference(avatar_component_clause,[],[f4036]) ).
fof(f4044,definition,
( spl20_165
<=> in(sK3(sK18,sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl20_165])],[avatar_definition]) ).
fof(f4045,plain,
( ~ in(sK3(sK18,sK17),sK17)
| spl20_165 ),
inference(avatar_component_clause,[],[f4044]) ).
fof(f4046,plain,
( in(sK3(sK18,sK17),sK17)
| ~ spl20_165 ),
inference(avatar_component_clause,[],[f4044]) ).
fof(f8506,plain,
( subset(sK18,sK17)
| spl20_163 ),
inference(resolution,[],[f4038,f137]) ).
fof(f8508,plain,
( $false
| spl20_2
| spl20_163 ),
inference(forward_subsumption_resolution,[],[f8506,f226]) ).
fof(f8509,plain,
( spl20_2
| spl20_163 ),
inference(avatar_contradiction_clause,[],[f8508]) ).
fof(f9669,plain,
( subset(sK18,sK17)
| ~ spl20_165 ),
inference(resolution,[],[f4046,f138]) ).
fof(f9681,plain,
( $false
| spl20_2
| ~ spl20_165 ),
inference(forward_subsumption_resolution,[],[f9669,f226]) ).
fof(f9682,plain,
( spl20_2
| ~ spl20_165 ),
inference(avatar_contradiction_clause,[],[f9681]) ).
fof(f10209,plain,
( subset(sK19(set_difference(sK18,sK17)),sK18)
| ~ epsilon_transitive(sK18)
| ~ spl20_116 ),
inference(resolution,[],[f2955,f127]) ).
fof(f10216,plain,
( subset(sK19(set_difference(sK18,sK17)),sK18)
| ~ spl20_8
| ~ spl20_116 ),
inference(forward_subsumption_resolution,[],[f10209,f278]) ).
fof(f10494,plain,
( ~ subset(sK17,sK19(set_difference(sK18,sK17)))
| sK17 = sK19(set_difference(sK18,sK17))
| ~ spl20_122 ),
inference(resolution,[],[f2984,f126]) ).
fof(f10495,plain,
( spl20_120
| ~ spl20_105
| ~ spl20_122 ),
inference(avatar_split_clause,[],[f10494,f2982,f2785,f2973]) ).
fof(f10643,plain,
( subset(sK18,sK17)
| spl20_116 ),
inference(resolution,[],[f2954,f515]) ).
fof(f10645,plain,
( $false
| spl20_2
| spl20_116 ),
inference(forward_subsumption_resolution,[],[f10643,f226]) ).
fof(f10646,plain,
( spl20_2
| spl20_116 ),
inference(avatar_contradiction_clause,[],[f10645]) ).
fof(f10647,plain,
( sK19(set_difference(sK18,sK17)) = sK3(sK17,sK19(set_difference(sK18,sK17)))
| subset(sK17,sK19(set_difference(sK18,sK17)))
| in(sK19(set_difference(sK18,sK17)),sK17)
| ~ spl20_116 ),
inference(resolution,[],[f2955,f1657]) ).
fof(f10656,plain,
( subset(sK17,sK19(set_difference(sK18,sK17)))
| in(sK19(set_difference(sK18,sK17)),sK17)
| spl20_106
| ~ spl20_116 ),
inference(forward_subsumption_resolution,[],[f10647,f2790]) ).
fof(f10657,plain,
( subset(sK17,sK19(set_difference(sK18,sK17)))
| spl20_104
| spl20_106
| ~ spl20_116 ),
inference(forward_subsumption_resolution,[],[f10656,f2782]) ).
fof(f10658,plain,
( spl20_105
| spl20_104
| spl20_106
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f10657,f2953,f2789,f2781,f2785]) ).
fof(f10793,definition,
( spl20_517
<=> ! [X1] : ~ in(X1,set_difference(sK18,sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_517])],[avatar_definition]) ).
fof(f10794,plain,
( ! [X1] : ~ in(X1,set_difference(sK18,sK17))
| ~ spl20_517 ),
inference(avatar_component_clause,[],[f10793]) ).
fof(f10847,plain,
( ! [X0] :
( ~ in(X0,sK18)
| in(X0,sK17) )
| ~ spl20_517 ),
inference(resolution,[],[f10794,f200]) ).
fof(f10980,plain,
( in(sK3(sK18,sK17),sK17)
| ~ spl20_163
| ~ spl20_517 ),
inference(resolution,[],[f10847,f4037]) ).
fof(f11030,plain,
( $false
| ~ spl20_163
| spl20_165
| ~ spl20_517 ),
inference(forward_subsumption_resolution,[],[f10980,f4045]) ).
fof(f11031,plain,
( ~ spl20_163
| spl20_165
| ~ spl20_517 ),
inference(avatar_contradiction_clause,[],[f11030]) ).
fof(f11073,definition,
( spl20_538
<=> ! [X0] :
( subset(sK18,X0)
| in(sK19(set_difference(sK17,X0)),set_difference(sK17,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl20_538])],[avatar_definition]) ).
fof(f11074,plain,
( ! [X0] :
( in(sK19(set_difference(sK17,X0)),set_difference(sK17,X0))
| subset(sK18,X0) )
| ~ spl20_538 ),
inference(avatar_component_clause,[],[f11073]) ).
fof(f11404,plain,
( ! [X0] :
( subset(sK18,X0)
| in(sK19(set_difference(sK17,X0)),set_difference(sK17,X0)) )
| ~ spl20_104 ),
inference(resolution,[],[f2783,f2372]) ).
fof(f11416,plain,
( spl20_538
| ~ spl20_104 ),
inference(avatar_split_clause,[],[f11404,f2781,f11073]) ).
fof(f11598,definition,
( spl20_555
<=> ! [X0] :
( in(sK3(sK19(set_difference(sK18,sK17)),X0),sK18)
| subset(sK19(set_difference(sK18,sK17)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_555])],[avatar_definition]) ).
fof(f11599,plain,
( ! [X0] :
( in(sK3(sK19(set_difference(sK18,sK17)),X0),sK18)
| subset(sK19(set_difference(sK18,sK17)),X0) )
| ~ spl20_555 ),
inference(avatar_component_clause,[],[f11598]) ).
fof(f13500,plain,
( ! [X0,X1] :
( subset(sK19(set_difference(sK18,sK17)),X0)
| subset(sK19(set_difference(sK18,sK17)),X0)
| ~ in(X1,set_difference(sK18,sK17))
| in(sK3(sK19(set_difference(sK18,sK17)),X0),sK17) )
| ~ spl20_555 ),
inference(resolution,[],[f11599,f1226]) ).
fof(f13514,plain,
( ! [X0,X1] :
( subset(sK19(set_difference(sK18,sK17)),X0)
| ~ in(X1,set_difference(sK18,sK17))
| in(sK3(sK19(set_difference(sK18,sK17)),X0),sK17) )
| ~ spl20_555 ),
inference(duplicate_literal_removal,[],[f13500]) ).
fof(f13519,definition,
( spl20_646
<=> ! [X0] :
( subset(sK19(set_difference(sK18,sK17)),X0)
| in(sK3(sK19(set_difference(sK18,sK17)),X0),sK17) ) ),
introduced(definition,[new_symbols(definition,[spl20_646])],[avatar_definition]) ).
fof(f13520,plain,
( ! [X0] :
( in(sK3(sK19(set_difference(sK18,sK17)),X0),sK17)
| subset(sK19(set_difference(sK18,sK17)),X0) )
| ~ spl20_646 ),
inference(avatar_component_clause,[],[f13519]) ).
fof(f13521,plain,
( spl20_517
| spl20_646
| ~ spl20_555 ),
inference(avatar_split_clause,[],[f13514,f11598,f13519,f10793]) ).
fof(f13523,plain,
( subset(sK19(set_difference(sK18,sK17)),sK17)
| subset(sK19(set_difference(sK18,sK17)),sK17)
| ~ spl20_646 ),
inference(resolution,[],[f13520,f138]) ).
fof(f13535,plain,
( subset(sK19(set_difference(sK18,sK17)),sK17)
| ~ spl20_646 ),
inference(duplicate_literal_removal,[],[f13523]) ).
fof(f13539,plain,
( $false
| spl20_122
| ~ spl20_646 ),
inference(forward_subsumption_resolution,[],[f13535,f2983]) ).
fof(f13540,plain,
( spl20_122
| ~ spl20_646 ),
inference(avatar_contradiction_clause,[],[f13539]) ).
fof(f15170,plain,
( in(sK17,sK18)
| subset(sK18,sK17)
| ~ spl20_120 ),
inference(superposition,[],[f515,f2975]) ).
fof(f15202,plain,
( subset(sK18,sK17)
| ~ spl20_120 ),
inference(forward_subsumption_resolution,[],[f15170,f182]) ).
fof(f15232,plain,
( $false
| spl20_2
| ~ spl20_120 ),
inference(forward_subsumption_resolution,[],[f15202,f226]) ).
fof(f15233,plain,
( spl20_2
| ~ spl20_120 ),
inference(avatar_contradiction_clause,[],[f15232]) ).
fof(f17873,plain,
( empty_set = set_difference(sK19(set_difference(sK18,sK17)),sK18)
| ~ spl20_8
| ~ spl20_116 ),
inference(resolution,[],[f10216,f185]) ).
fof(f21306,plain,
( in(sK19(empty_set),empty_set)
| subset(sK18,sK17)
| ~ spl20_538 ),
inference(superposition,[],[f11074,f398]) ).
fof(f21307,plain,
( subset(sK18,sK17)
| ~ spl20_538 ),
inference(forward_subsumption_resolution,[],[f21306,f608]) ).
fof(f21313,plain,
( $false
| spl20_2
| ~ spl20_538 ),
inference(forward_subsumption_resolution,[],[f21307,f226]) ).
fof(f21314,plain,
( spl20_2
| ~ spl20_538 ),
inference(avatar_contradiction_clause,[],[f21313]) ).
fof(f21795,plain,
( ! [X0] :
( in(sK19(empty_set),empty_set)
| in(sK3(sK19(set_difference(sK18,sK17)),X0),sK18)
| subset(sK19(set_difference(sK18,sK17)),X0) )
| ~ spl20_8
| ~ spl20_116 ),
inference(superposition,[],[f310,f17873]) ).
fof(f21831,plain,
( ! [X0] :
( in(sK3(sK19(set_difference(sK18,sK17)),X0),sK18)
| subset(sK19(set_difference(sK18,sK17)),X0) )
| ~ spl20_8
| ~ spl20_116 ),
inference(forward_subsumption_resolution,[],[f21795,f608]) ).
fof(f21842,plain,
( spl20_555
| ~ spl20_8
| ~ spl20_116 ),
inference(avatar_split_clause,[],[f21831,f2953,f277,f11598]) ).
cnf(s1,plain,
( spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f227]) ).
cnf(s7,plain,
spl20_8,
inference(sat_conversion,[],[f368]) ).
cnf(s24,plain,
~ spl20_1,
inference(sat_conversion,[],[f780]) ).
cnf(s124,plain,
( spl20_104
| spl20_105
| ~ spl20_106 ),
inference(sat_conversion,[],[f2951]) ).
cnf(s551,plain,
( spl20_2
| spl20_163 ),
inference(sat_conversion,[],[f8509]) ).
cnf(s627,plain,
( spl20_2
| ~ spl20_165 ),
inference(sat_conversion,[],[f9682]) ).
cnf(s701,plain,
( ~ spl20_105
| spl20_120
| ~ spl20_122 ),
inference(sat_conversion,[],[f10495]) ).
cnf(s707,plain,
( spl20_2
| spl20_116 ),
inference(sat_conversion,[],[f10646]) ).
cnf(s708,plain,
( spl20_104
| spl20_105
| spl20_106
| ~ spl20_116 ),
inference(sat_conversion,[],[f10658]) ).
cnf(s740,plain,
( ~ spl20_163
| spl20_165
| ~ spl20_517 ),
inference(sat_conversion,[],[f11031]) ).
cnf(s770,plain,
( ~ spl20_104
| spl20_538 ),
inference(sat_conversion,[],[f11416]) ).
cnf(s910,plain,
( spl20_517
| ~ spl20_555
| spl20_646 ),
inference(sat_conversion,[],[f13521]) ).
cnf(s911,plain,
( spl20_122
| ~ spl20_646 ),
inference(sat_conversion,[],[f13540]) ).
cnf(s1017,plain,
( spl20_2
| ~ spl20_120 ),
inference(sat_conversion,[],[f15233]) ).
cnf(s1396,plain,
( spl20_2
| ~ spl20_538 ),
inference(sat_conversion,[],[f21314]) ).
cnf(s1410,plain,
( ~ spl20_8
| ~ spl20_116
| spl20_555 ),
inference(sat_conversion,[],[f21842]) ).
cnf(s1414,plain,
~ spl20_2,
inference(rat,[],[s1,s24]) ).
cnf(s1415,plain,
~ spl20_538,
inference(rat,[],[s1396,s1414]) ).
cnf(s1416,plain,
~ spl20_120,
inference(rat,[],[s1017,s1414]) ).
cnf(s1420,plain,
spl20_116,
inference(rat,[],[s707,s1414]) ).
cnf(s1421,plain,
~ spl20_165,
inference(rat,[],[s627,s1414]) ).
cnf(s1422,plain,
spl20_163,
inference(rat,[],[s551,s1414]) ).
cnf(s1427,plain,
~ spl20_104,
inference(rat,[],[s770,s1415]) ).
cnf(s1428,plain,
spl20_555,
inference(rat,[],[s1410,s7,s1420]) ).
cnf(s1431,plain,
~ spl20_517,
inference(rat,[],[s740,s1421,s1422]) ).
cnf(s1440,plain,
spl20_646,
inference(rat,[],[s910,s1428,s1431]) ).
cnf(s1447,plain,
spl20_122,
inference(rat,[],[s911,s1440]) ).
cnf(s1451,plain,
~ spl20_105,
inference(rat,[],[s701,s1416,s1447]) ).
cnf(s1453,plain,
spl20_106,
inference(rat,[],[s708,s1420,s1427,s1451]) ).
cnf(s1454,plain,
$false,
inference(rat,[],[s124,s1427,s1453,s1451]) ).
fof(f21843,plain,
$false,
inference(avatar_sat_refutation,[],[s1454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU231+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:12:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.39/2.54 % (1549136)Detected formulas, will run a generic FOF schedule.
% 11.39/2.54 % (1549143)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=2682107847:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.39/2.54 % (1549141)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=3104838196:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.39/2.54 % (1549146)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2914987967:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.39/2.54 % (1549142)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=1508020765:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.39/2.54 % (1549145)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1386575477:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.39/2.54 % (1549144)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1090062489:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.39/2.54 % (1549147)dis-21_1_sil=8000:lcm=predicate:random_seed=3828784384: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)
% 11.39/2.54 % (1549144)Refutation not found, incomplete strategy
% 11.39/2.54 % (1549144)------------------------------
% 11.39/2.54 % (1549144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.54 % (1549144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.54 % (1549144)CaDiCaL version: 2.1.3
% 11.39/2.54 % (1549144)Termination reason: Refutation not found, incomplete strategy
% 11.39/2.54 % (1549144)Time elapsed: 0.001 s
% 11.39/2.54 % (1549144)Peak memory usage: 88 MB
% 11.39/2.54 % (1549144)Instructions burned: 1 (million)
% 11.39/2.54 % (1549145)Instruction limit reached!
% 11.39/2.54 % (1549145)------------------------------
% 11.39/2.54 % (1549145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.54 % (1549145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.54 % (1549145)CaDiCaL version: 2.1.3
% 11.39/2.54 % (1549145)Termination reason: Instruction limit
% 11.39/2.54 % (1549145)Termination phase: Saturation
% 11.39/2.54 % (1549145)Time elapsed: 0.069 s
% 11.39/2.54 % (1549145)Peak memory usage: 88 MB
% 11.39/2.54 % (1549145)Instructions burned: 121 (million)
% 11.39/2.54 % (1549147)Instruction limit reached!
% 11.39/2.54 % (1549147)------------------------------
% 11.39/2.54 % (1549147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.54 % (1549147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.54 % (1549147)CaDiCaL version: 2.1.3
% 11.39/2.54 % (1549147)Termination reason: Instruction limit
% 11.39/2.54 % (1549147)Termination phase: Saturation
% 11.39/2.54 % (1549147)Time elapsed: 0.076 s
% 11.39/2.54 % (1549147)Peak memory usage: 89 MB
% 11.39/2.54 % (1549147)Instructions burned: 133 (million)
% 11.39/2.54 % (1549146)Instruction limit reached!
% 11.39/2.54 % (1549146)------------------------------
% 11.39/2.54 % (1549146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.54 % (1549146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.54 % (1549146)CaDiCaL version: 2.1.3
% 11.39/2.54 % (1549146)Termination reason: Instruction limit
% 11.39/2.54 % (1549146)Termination phase: Saturation
% 11.39/2.54 % (1549146)Time elapsed: 0.101 s
% 11.39/2.54 % (1549146)Peak memory usage: 90 MB
% 11.39/2.54 % (1549146)Instructions burned: 140 (million)
% 11.39/2.54 % (1549155)lrs+10_1_sil=8000:sp=occurrence:random_seed=2758716288:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.39/2.54 % (1549156)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2230375674:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.39/2.54 % (1549156)Refutation not found, incomplete strategy
% 11.39/2.54 % (1549156)------------------------------
% 11.39/2.54 % (1549156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.54 % (1549156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.54 % (1549156)CaDiCaL version: 2.1.3
% 11.39/2.54 % (1549156)Termination reason: Refutation not found, incomplete strategy
% 17.95/3.49 % (1549156)Time elapsed: 0.002 s
% 17.95/3.49 % (1549156)Peak memory usage: 88 MB
% 17.95/3.49 % (1549156)Instructions burned: 1 (million)
% 17.95/3.49 % (1549157)lrs+1011_1_sil=32000:sp=occurrence:random_seed=589970975:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.95/3.49 % (1549144)------------------------------
% 17.95/3.49 % (1549144)------------------------------
% 17.95/3.49 % (1549155)Instruction limit reached!
% 17.95/3.49 % (1549155)------------------------------
% 17.95/3.49 % (1549155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549155)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549155)Termination reason: Instruction limit
% 17.95/3.49 % (1549155)Termination phase: Saturation
% 17.95/3.49 % (1549155)Time elapsed: 0.181 s
% 17.95/3.49 % (1549155)Peak memory usage: 91 MB
% 17.95/3.49 % (1549155)Instructions burned: 286 (million)
% 17.95/3.49 % (1549161)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=2329402484:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.95/3.49 % (1549156)------------------------------
% 17.95/3.49 % (1549156)------------------------------
% 17.95/3.49 % (1549157)Instruction limit reached!
% 17.95/3.49 % (1549157)------------------------------
% 17.95/3.49 % (1549157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549157)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549157)Termination reason: Instruction limit
% 17.95/3.49 % (1549157)Termination phase: Saturation
% 17.95/3.49 % (1549157)Time elapsed: 0.218 s
% 17.95/3.49 % (1549157)Peak memory usage: 91 MB
% 17.95/3.49 % (1549157)Instructions burned: 326 (million)
% 17.95/3.49 % (1549162)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1332979057:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 17.95/3.49 % (1549162)Refutation not found, incomplete strategy
% 17.95/3.49 % (1549162)------------------------------
% 17.95/3.49 % (1549162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549162)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549162)Termination reason: Refutation not found, incomplete strategy
% 17.95/3.49 % (1549162)Time elapsed: 0.003 s
% 17.95/3.49 % (1549162)Peak memory usage: 88 MB
% 17.95/3.49 % (1549162)Instructions burned: 2 (million)
% 17.95/3.49 % (1549161)Instruction limit reached!
% 17.95/3.49 % (1549161)------------------------------
% 17.95/3.49 % (1549161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549161)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549161)Termination reason: Instruction limit
% 17.95/3.49 % (1549161)Termination phase: Saturation
% 17.95/3.49 % (1549161)Time elapsed: 0.138 s
% 17.95/3.49 % (1549161)Peak memory usage: 91 MB
% 17.95/3.49 % (1549161)Instructions burned: 248 (million)
% 17.95/3.49 % (1549164)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3818868289:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 17.95/3.49 % (1549165)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1962908879:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.95/3.49 % (1549165)Instruction limit reached!
% 17.95/3.49 % (1549165)------------------------------
% 17.95/3.49 % (1549165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549165)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549165)Termination reason: Instruction limit
% 17.95/3.49 % (1549165)Termination phase: Saturation
% 17.95/3.49 % (1549165)Time elapsed: 0.082 s
% 17.95/3.49 % (1549165)Peak memory usage: 89 MB
% 17.95/3.49 % (1549165)Instructions burned: 113 (million)
% 17.95/3.49 % (1549167)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3515688709:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 17.95/3.49 % (1549167)Instruction limit reached!
% 17.95/3.49 % (1549167)------------------------------
% 17.95/3.49 % (1549167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549167)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549167)Termination reason: Instruction limit
% 17.95/3.49 % (1549167)Termination phase: Saturation
% 17.95/3.49 % (1549167)Time elapsed: 0.069 s
% 17.95/3.49 % (1549167)Peak memory usage: 89 MB
% 17.95/3.49 % (1549167)Instructions burned: 127 (million)
% 17.95/3.49 % (1549162)------------------------------
% 17.95/3.49 % (1549162)------------------------------
% 17.95/3.49 % (1549170)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=48631563:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 17.95/3.49 % (1549170)Refutation not found, incomplete strategy
% 17.95/3.49 % (1549170)------------------------------
% 17.95/3.49 % (1549170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549170)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549170)Termination reason: Refutation not found, incomplete strategy
% 17.95/3.49 % (1549170)Time elapsed: 0.003 s
% 17.95/3.49 % (1549170)Peak memory usage: 88 MB
% 17.95/3.49 % (1549170)Instructions burned: 2 (million)
% 17.95/3.49 % (1549172)lrs+10_1_sil=8000:sp=occurrence:random_seed=3141608074:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 17.95/3.49 % (1549173)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1363976931:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 17.95/3.49 % (1549170)------------------------------
% 17.95/3.49 % (1549170)------------------------------
% 17.95/3.49 % (1549177)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3635852009:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 17.95/3.49 % (1549173)Instruction limit reached!
% 17.95/3.49 % (1549173)------------------------------
% 17.95/3.49 % (1549173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549173)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549173)Termination reason: Instruction limit
% 17.95/3.49 % (1549173)Termination phase: Saturation
% 17.95/3.49 % (1549173)Time elapsed: 0.250 s
% 17.95/3.49 % (1549173)Peak memory usage: 90 MB
% 17.95/3.49 % (1549173)Instructions burned: 437 (million)
% 17.95/3.49 % (1549179)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3259098704:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 17.95/3.49 % (1549179)Instruction limit reached!
% 17.95/3.49 % (1549179)------------------------------
% 17.95/3.49 % (1549179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549179)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549179)Termination reason: Instruction limit
% 17.95/3.49 % (1549179)Termination phase: Saturation
% 17.95/3.49 % (1549179)Time elapsed: 0.069 s
% 17.95/3.49 % (1549179)Peak memory usage: 93 MB
% 17.95/3.49 % (1549179)Instructions burned: 134 (million)
% 17.95/3.49 % (1549172)Instruction limit reached!
% 17.95/3.49 % (1549172)------------------------------
% 17.95/3.49 % (1549172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549172)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549172)Termination reason: Instruction limit
% 17.95/3.49 % (1549172)Termination phase: Saturation
% 17.95/3.49 % (1549172)Time elapsed: 0.557 s
% 17.95/3.49 % (1549172)Peak memory usage: 96 MB
% 17.95/3.49 % (1549172)Instructions burned: 907 (million)
% 17.95/3.49 % (1549181)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2443975074:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 17.95/3.49 % (1549181)Refutation not found, incomplete strategy
% 17.95/3.49 % (1549181)------------------------------
% 17.95/3.49 % (1549181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549181)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549181)Termination reason: Refutation not found, incomplete strategy
% 17.95/3.49 % (1549181)Time elapsed: 0.002 s
% 17.95/3.49 % (1549181)Peak memory usage: 88 MB
% 17.95/3.49 % (1549181)Instructions burned: 2 (million)
% 17.95/3.49 % (1549182)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1798511103:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 17.95/3.49 % (1549181)------------------------------
% 17.95/3.49 % (1549181)------------------------------
% 17.95/3.49 % (1549185)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=4024692336:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 17.95/3.49 % (1549185)Instruction limit reached!
% 17.95/3.49 % (1549185)------------------------------
% 17.95/3.49 % (1549185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549185)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549185)Termination reason: Instruction limit
% 17.95/3.49 % (1549185)Termination phase: Saturation
% 17.95/3.49 % (1549185)Time elapsed: 0.093 s
% 17.95/3.49 % (1549185)Peak memory usage: 90 MB
% 17.95/3.49 % (1549185)Instructions burned: 126 (million)
% 17.95/3.49 % (1549187)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1164678874:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 17.95/3.49 % (1549164)Instruction limit reached!
% 17.95/3.49 % (1549164)------------------------------
% 17.95/3.49 % (1549164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549164)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549164)Termination reason: Instruction limit
% 17.95/3.49 % (1549164)Termination phase: Saturation
% 17.95/3.49 % (1549164)Time elapsed: 1.548 s
% 17.95/3.49 % (1549164)Peak memory usage: 140 MB
% 17.95/3.49 % (1549164)Instructions burned: 2351 (million)
% 17.95/3.49 % (1549187)Instruction limit reached!
% 17.95/3.49 % (1549187)------------------------------
% 17.95/3.49 % (1549187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549187)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549187)Termination reason: Instruction limit
% 17.95/3.49 % (1549187)Termination phase: Saturation
% 17.95/3.49 % (1549187)Time elapsed: 0.089 s
% 17.95/3.49 % (1549187)Peak memory usage: 90 MB
% 17.95/3.49 % (1549187)Instructions burned: 134 (million)
% 17.95/3.49 % (1549141)First to succeed.
% 17.95/3.49 % (1549141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1549136"
% 17.95/3.49 % (1549189)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=338406324:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 17.95/3.49 % (1549189)Refutation not found, incomplete strategy
% 17.95/3.49 % (1549189)------------------------------
% 17.95/3.49 % (1549189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.95/3.49 % (1549189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.95/3.49 % (1549189)CaDiCaL version: 2.1.3
% 17.95/3.49 % (1549189)Termination reason: Refutation not found, incomplete strategy
% 17.95/3.49 % (1549189)Time elapsed: 0.001 s
% 17.95/3.49 % (1549189)Peak memory usage: 88 MB
% 17.95/3.49 % (1549189)Instructions burned: 1 (million)
% 17.95/3.49 % (1549190)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2991209196:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 17.95/3.49 % (1549189)------------------------------
% 17.95/3.49 % (1549189)------------------------------
% 17.95/3.49 % (1549141)Refutation found. Thanks to Tanya!
% 17.95/3.49 % SZS status Theorem for theBenchmark
% 17.95/3.49 % SZS output start Proof for theBenchmark
% See solution above
% 19.25/3.67 % (1549141)------------------------------
% 19.25/3.67 % (1549141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.67 % (1549141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.67 % (1549141)CaDiCaL version: 2.1.3
% 19.25/3.67 % (1549141)Termination reason: Refutation
% 19.25/3.67 % (1549141)Time elapsed: 2.244 s
% 19.25/3.67 % (1549141)Peak memory usage: 149 MB
% 19.25/3.67 % (1549141)Instructions burned: 3297 (million)
% 19.25/3.67 % (1549141)------------------------------
% 19.25/3.67 % (1549141)------------------------------
% 19.25/3.67 % (1549136)Success in time 2.643 s
% 19.25/3.67 % Vampire exiting
%------------------------------------------------------------------------------