%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM397+1 : 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:03 PM UTC 2026
% Result : Theorem 13.52s 2.85s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 167 ( 16 unt; 11 def)
% Number of atoms : 503 ( 31 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 567 ( 231 ~; 254 |; 53 &)
% ( 18 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 181 ( 0 sgn 167 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
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] :
( ordinal(X0)
<=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f12,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f34,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f37,conjecture,
! [X0] :
( ordinal(X0)
=> ordinal(union(X0)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f43,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f45,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(f56,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
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(f85,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f43]) ).
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(f94,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f95,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f94]) ).
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(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(f115,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f127,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X0] :
( in(sK0(X0),X0)
| epsilon_transitive(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] :
( in(sK2(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f135,plain,
! [X0] :
( in(sK1(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f137,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f138,plain,
! [X0] :
( ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f95]) ).
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(f189,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f190,plain,
! [X0,X1] :
( in(X1,X0)
| in(X0,X1)
| X0 = X1
| ~ ordinal(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(f199,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f85]) ).
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(f205,definition,
sF20 = union(sK19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f206,plain,
union(sK19) = sF20,
inference(reorient_equations,[],[f205]) ).
fof(f207,plain,
~ ordinal(sF20),
inference(definition_folding,[],[f193,f206]) ).
fof(f215,plain,
! [X0,X1] :
( ~ ordinal(sK5(X1,X0))
| ordinal(X0)
| ~ in(X0,union(X1)) ),
inference(resolution,[],[f189,f203]) ).
fof(f216,plain,
! [X0,X1] :
( ~ in(X1,union(X0))
| ~ ordinal(X0)
| ordinal(sK5(X0,X1)) ),
inference(resolution,[],[f189,f204]) ).
fof(f221,plain,
! [X0] :
( ~ in(X0,sK19)
| subset(X0,sF20) ),
inference(superposition,[],[f201,f206]) ).
fof(f240,plain,
! [X0,X1] :
( subset(sK5(X0,X1),X0)
| ~ epsilon_transitive(X0)
| ~ in(X1,union(X0)) ),
inference(resolution,[],[f127,f204]) ).
fof(f249,plain,
! [X0] :
( in(sK19,X0)
| sK19 = X0
| ~ ordinal(sK19)
| ~ ordinal(X0)
| subset(X0,sF20) ),
inference(resolution,[],[f190,f221]) ).
fof(f250,plain,
! [X0] :
( in(sK1(X0),sK2(X0))
| sK1(X0) = sK2(X0)
| ~ ordinal(sK1(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(resolution,[],[f190,f131]) ).
fof(f255,plain,
! [X0] :
( sK1(X0) = sK2(X0)
| ~ ordinal(sK1(X0))
| ~ ordinal(sK2(X0))
| epsilon_connected(X0) ),
inference(forward_subsumption_resolution,[],[f250,f133]) ).
fof(f256,plain,
! [X0] :
( subset(X0,sF20)
| sK19 = X0
| ~ ordinal(X0)
| in(sK19,X0) ),
inference(forward_subsumption_resolution,[],[f249,f192]) ).
fof(f261,plain,
! [X0] :
( ~ ordinal(sK2(X0))
| ~ ordinal(sK1(X0))
| epsilon_connected(X0) ),
inference(forward_subsumption_resolution,[],[f255,f132]) ).
fof(f272,definition,
( spl21_6
<=> epsilon_transitive(sK19) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
fof(f274,plain,
( epsilon_transitive(sK19)
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f288,plain,
epsilon_transitive(sK19),
inference(resolution,[],[f137,f192]) ).
fof(f289,plain,
spl21_6,
inference(avatar_split_clause,[],[f288,f272]) ).
fof(f326,plain,
( sK19 = sK0(sF20)
| ~ ordinal(sK0(sF20))
| in(sK19,sK0(sF20))
| epsilon_transitive(sF20) ),
inference(resolution,[],[f256,f129]) ).
fof(f329,definition,
( spl21_7
<=> epsilon_transitive(sF20) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f330,plain,
( ~ epsilon_transitive(sF20)
| spl21_7 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( epsilon_transitive(sF20)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f333,definition,
( spl21_8
<=> in(sK19,sK0(sF20)) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
fof(f335,plain,
( in(sK19,sK0(sF20))
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f337,definition,
( spl21_9
<=> ordinal(sK0(sF20)) ),
introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition]) ).
fof(f339,plain,
( ~ ordinal(sK0(sF20))
| spl21_9 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl21_10
<=> sK19 = sK0(sF20) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f343,plain,
( sK19 = sK0(sF20)
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( spl21_7
| spl21_8
| ~ spl21_9
| spl21_10 ),
inference(avatar_split_clause,[],[f326,f341,f337,f333,f329]) ).
fof(f352,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ ordinal(sK19)
| ordinal(sK5(sK19,X0)) ),
inference(superposition,[],[f216,f206]) ).
fof(f353,plain,
! [X0] :
( ordinal(sK5(sK19,X0))
| ~ in(X0,sF20) ),
inference(forward_subsumption_resolution,[],[f352,f192]) ).
fof(f387,plain,
! [X0,X1] :
( ~ in(X1,union(X0))
| ~ empty(X0) ),
inference(resolution,[],[f199,f204]) ).
fof(f392,plain,
! [X0] :
( ~ in(X0,sF20)
| ordinal(X0)
| ~ in(X0,union(sK19)) ),
inference(resolution,[],[f353,f215]) ).
fof(f395,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ in(X0,sF20)
| ordinal(X0) ),
inference(forward_demodulation,[],[f392,f206]) ).
fof(f396,plain,
! [X0] :
( ~ in(X0,sF20)
| ordinal(X0) ),
inference(duplicate_literal_removal,[],[f395]) ).
fof(f399,plain,
( ordinal(sK0(sF20))
| epsilon_transitive(sF20) ),
inference(resolution,[],[f396,f128]) ).
fof(f400,plain,
( ordinal(sK1(sF20))
| epsilon_connected(sF20) ),
inference(resolution,[],[f396,f135]) ).
fof(f401,plain,
( ordinal(sK2(sF20))
| epsilon_connected(sF20) ),
inference(resolution,[],[f396,f134]) ).
fof(f404,definition,
( spl21_11
<=> epsilon_connected(sF20) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f405,plain,
( ~ epsilon_connected(sF20)
| spl21_11 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f406,plain,
( epsilon_connected(sF20)
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f408,definition,
( spl21_12
<=> ordinal(sK2(sF20)) ),
introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).
fof(f410,plain,
( ordinal(sK2(sF20))
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,plain,
( spl21_11
| spl21_12 ),
inference(avatar_split_clause,[],[f401,f408,f404]) ).
fof(f413,definition,
( spl21_13
<=> ordinal(sK1(sF20)) ),
introduced(definition,[new_symbols(definition,[spl21_13])],[avatar_definition]) ).
fof(f415,plain,
( ordinal(sK1(sF20))
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,plain,
( spl21_11
| spl21_13 ),
inference(avatar_split_clause,[],[f400,f413,f404]) ).
fof(f417,plain,
( epsilon_transitive(sF20)
| spl21_9 ),
inference(forward_subsumption_resolution,[],[f399,f339]) ).
fof(f418,plain,
( spl21_7
| spl21_9 ),
inference(avatar_split_clause,[],[f417,f337,f329]) ).
fof(f419,plain,
( ~ epsilon_transitive(sF20)
| ordinal(sF20)
| ~ spl21_11 ),
inference(resolution,[],[f406,f138]) ).
fof(f420,plain,
( ordinal(sF20)
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f419,f331]) ).
fof(f421,plain,
( $false
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f420,f207]) ).
fof(f422,plain,
( ~ spl21_7
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f444,plain,
( ~ ordinal(sK1(sF20))
| epsilon_connected(sF20)
| ~ spl21_12 ),
inference(resolution,[],[f410,f261]) ).
fof(f447,plain,
( epsilon_connected(sF20)
| ~ spl21_12
| ~ spl21_13 ),
inference(forward_subsumption_resolution,[],[f444,f415]) ).
fof(f448,plain,
( $false
| spl21_11
| ~ spl21_12
| ~ spl21_13 ),
inference(forward_subsumption_resolution,[],[f447,f405]) ).
fof(f449,plain,
( spl21_11
| ~ spl21_12
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f500,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| ~ in(X1,union(X0)) ),
inference(resolution,[],[f115,f203]) ).
fof(f509,plain,
( ~ in(sK0(sF20),sK19)
| ~ spl21_8 ),
inference(resolution,[],[f115,f335]) ).
fof(f567,plain,
! [X0] :
( ~ in(X0,union(X0))
| ~ in(X0,union(X0)) ),
inference(resolution,[],[f500,f204]) ).
fof(f573,plain,
! [X0] : ~ in(X0,union(X0)),
inference(duplicate_literal_removal,[],[f567]) ).
fof(f576,plain,
~ in(sK19,sF20),
inference(superposition,[],[f573,f206]) ).
fof(f594,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ empty(sK19) ),
inference(superposition,[],[f387,f206]) ).
fof(f596,definition,
( spl21_25
<=> empty(sK19) ),
introduced(definition,[new_symbols(definition,[spl21_25])],[avatar_definition]) ).
fof(f598,plain,
( ~ empty(sK19)
| spl21_25 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f600,definition,
( spl21_26
<=> ! [X0] : ~ in(X0,sF20) ),
introduced(definition,[new_symbols(definition,[spl21_26])],[avatar_definition]) ).
fof(f601,plain,
( ! [X0] : ~ in(X0,sF20)
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f602,plain,
( ~ spl21_25
| spl21_26 ),
inference(avatar_split_clause,[],[f594,f600,f596]) ).
fof(f685,plain,
( epsilon_transitive(sF20)
| ~ spl21_26 ),
inference(resolution,[],[f601,f128]) ).
fof(f690,plain,
( $false
| spl21_7
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f685,f330]) ).
fof(f691,plain,
( spl21_7
| ~ spl21_26 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f699,plain,
( in(sK19,sF20)
| epsilon_transitive(sF20)
| ~ spl21_10 ),
inference(superposition,[],[f128,f343]) ).
fof(f700,plain,
( epsilon_transitive(sF20)
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f699,f576]) ).
fof(f703,plain,
( $false
| spl21_7
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f700,f330]) ).
fof(f704,plain,
( spl21_7
| ~ spl21_10 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f1957,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| element(X2,X1) ),
inference(resolution,[],[f195,f196]) ).
fof(f1979,plain,
! [X2,X0,X1] :
( ~ in(X0,sK5(X1,X2))
| element(X0,X1)
| ~ epsilon_transitive(X1)
| ~ in(X2,union(X1)) ),
inference(resolution,[],[f1957,f240]) ).
fof(f2336,plain,
! [X0,X1] :
( element(X0,X1)
| ~ epsilon_transitive(X1)
| ~ in(X0,union(X1))
| ~ in(X0,union(X1)) ),
inference(resolution,[],[f1979,f203]) ).
fof(f2360,plain,
! [X0,X1] :
( ~ in(X0,union(X1))
| ~ epsilon_transitive(X1)
| element(X0,X1) ),
inference(duplicate_literal_removal,[],[f2336]) ).
fof(f2401,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ epsilon_transitive(sK19)
| element(X0,sK19) ),
inference(superposition,[],[f2360,f206]) ).
fof(f2402,plain,
( ! [X0] :
( ~ in(X0,sF20)
| element(X0,sK19) )
| ~ spl21_6 ),
inference(forward_subsumption_resolution,[],[f2401,f274]) ).
fof(f2413,plain,
( element(sK0(sF20),sK19)
| epsilon_transitive(sF20)
| ~ spl21_6 ),
inference(resolution,[],[f2402,f128]) ).
fof(f2427,plain,
( element(sK0(sF20),sK19)
| ~ spl21_6
| spl21_7 ),
inference(forward_subsumption_resolution,[],[f2413,f330]) ).
fof(f2428,plain,
( in(sK0(sF20),sK19)
| empty(sK19)
| ~ spl21_6
| spl21_7 ),
inference(resolution,[],[f2427,f191]) ).
fof(f2429,plain,
( empty(sK19)
| ~ spl21_6
| spl21_7
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f2428,f509]) ).
fof(f2430,plain,
( $false
| ~ spl21_6
| spl21_7
| ~ spl21_8
| spl21_25 ),
inference(forward_subsumption_resolution,[],[f2429,f598]) ).
fof(f2431,plain,
( ~ spl21_6
| spl21_7
| ~ spl21_8
| spl21_25 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
cnf(s4,plain,
spl21_6,
inference(sat_conversion,[],[f289]) ).
cnf(s5,plain,
( spl21_7
| spl21_8
| ~ spl21_9
| spl21_10 ),
inference(sat_conversion,[],[f344]) ).
cnf(s6,plain,
( spl21_11
| spl21_12 ),
inference(sat_conversion,[],[f411]) ).
cnf(s7,plain,
( spl21_11
| spl21_13 ),
inference(sat_conversion,[],[f416]) ).
cnf(s8,plain,
( spl21_7
| spl21_9 ),
inference(sat_conversion,[],[f418]) ).
cnf(s9,plain,
( ~ spl21_7
| ~ spl21_11 ),
inference(sat_conversion,[],[f422]) ).
cnf(s12,plain,
( spl21_11
| ~ spl21_12
| ~ spl21_13 ),
inference(sat_conversion,[],[f449]) ).
cnf(s19,plain,
( ~ spl21_25
| spl21_26 ),
inference(sat_conversion,[],[f602]) ).
cnf(s23,plain,
( spl21_7
| ~ spl21_26 ),
inference(sat_conversion,[],[f691]) ).
cnf(s24,plain,
( spl21_7
| ~ spl21_10 ),
inference(sat_conversion,[],[f704]) ).
cnf(s47,plain,
( ~ spl21_6
| spl21_7
| ~ spl21_8
| spl21_25 ),
inference(sat_conversion,[],[f2431]) ).
cnf(s48,plain,
spl21_7,
inference(rat,[],[s47,s5,s19,s8,s23,s24,s4]) ).
cnf(s49,plain,
~ spl21_11,
inference(rat,[],[s9,s48]) ).
cnf(s50,plain,
spl21_13,
inference(rat,[],[s7,s49]) ).
cnf(s51,plain,
spl21_12,
inference(rat,[],[s6,s49]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s12,s49,s50,s51]) ).
fof(f2432,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM397+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 19:49:06 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 11.08/2.40 % (3836279)Detected formulas, will run a generic FOF schedule.
% 11.08/2.40 % (3836284)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=612065902:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.08/2.40 % (3836290)dis-21_1_sil=8000:lcm=predicate:random_seed=1199900625: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)
% 11.08/2.40 % (3836287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2695479788:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.08/2.40 % (3836285)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=46748872:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.08/2.40 % (3836286)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=3384773795:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.08/2.40 % (3836288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1541602097:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.08/2.40 % (3836287)Refutation not found, incomplete strategy
% 11.08/2.40 % (3836287)------------------------------
% 11.08/2.40 % (3836287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.40 % (3836287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.40 % (3836287)CaDiCaL version: 2.1.3
% 11.08/2.40 % (3836287)Termination reason: Refutation not found, incomplete strategy
% 11.08/2.40 % (3836287)Time elapsed: 0.001 s
% 11.08/2.40 % (3836287)Peak memory usage: 88 MB
% 11.08/2.40 % (3836289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2189622905:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.08/2.40 % (3836289)Instruction limit reached!
% 11.08/2.40 % (3836289)------------------------------
% 11.08/2.40 % (3836289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.40 % (3836289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.40 % (3836289)CaDiCaL version: 2.1.3
% 11.08/2.40 % (3836289)Termination reason: Instruction limit
% 11.08/2.40 % (3836289)Termination phase: Saturation
% 11.08/2.40 % (3836289)Time elapsed: 0.051 s
% 11.08/2.40 % (3836289)Peak memory usage: 89 MB
% 11.08/2.40 % (3836289)Instructions burned: 140 (million)
% 11.08/2.40 % (3836288)Instruction limit reached!
% 11.08/2.40 % (3836288)------------------------------
% 11.08/2.40 % (3836288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.40 % (3836288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.40 % (3836288)CaDiCaL version: 2.1.3
% 11.08/2.40 % (3836288)Termination reason: Instruction limit
% 11.08/2.40 % (3836288)Termination phase: Saturation
% 11.08/2.40 % (3836288)Time elapsed: 0.063 s
% 11.08/2.40 % (3836288)Peak memory usage: 88 MB
% 11.08/2.40 % (3836288)Instructions burned: 121 (million)
% 11.08/2.40 % (3836290)Instruction limit reached!
% 11.08/2.40 % (3836290)------------------------------
% 11.08/2.40 % (3836290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.40 % (3836290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.40 % (3836290)CaDiCaL version: 2.1.3
% 11.08/2.40 % (3836290)Termination reason: Instruction limit
% 11.08/2.40 % (3836290)Termination phase: Saturation
% 11.08/2.40 % (3836290)Time elapsed: 0.072 s
% 11.08/2.40 % (3836290)Peak memory usage: 88 MB
% 11.08/2.40 % (3836290)Instructions burned: 129 (million)
% 11.08/2.40 % (3836298)lrs+10_1_sil=8000:sp=occurrence:random_seed=1052823818:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.08/2.40 % (3836299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2861816535:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.08/2.40 % (3836299)Refutation not found, incomplete strategy
% 11.08/2.40 % (3836299)------------------------------
% 11.08/2.40 % (3836299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.40 % (3836299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.40 % (3836299)CaDiCaL version: 2.1.3
% 11.08/2.40 % (3836299)Termination reason: Refutation not found, incomplete strategy
% 11.08/2.40 % (3836299)Time elapsed: 0.002 s
% 13.52/2.85 % (3836299)Peak memory usage: 88 MB
% 13.52/2.85 % (3836299)Instructions burned: 1 (million)
% 13.52/2.85 % (3836300)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1027919378:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.52/2.85 % (3836287)------------------------------
% 13.52/2.85 % (3836287)------------------------------
% 13.52/2.85 % (3836298)Instruction limit reached!
% 13.52/2.85 % (3836298)------------------------------
% 13.52/2.85 % (3836298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836298)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836298)Termination reason: Instruction limit
% 13.52/2.85 % (3836298)Termination phase: Saturation
% 13.52/2.85 % (3836298)Time elapsed: 0.091 s
% 13.52/2.85 % (3836298)Peak memory usage: 90 MB
% 13.52/2.85 % (3836298)Instructions burned: 285 (million)
% 13.52/2.85 % (3836305)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3598955500:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.52/2.85 % (3836305)Refutation not found, incomplete strategy
% 13.52/2.85 % (3836305)------------------------------
% 13.52/2.85 % (3836305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836305)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836305)Termination reason: Refutation not found, incomplete strategy
% 13.52/2.85 % (3836305)Time elapsed: 0.001 s
% 13.52/2.85 % (3836305)Peak memory usage: 88 MB
% 13.52/2.85 % (3836305)Instructions burned: 2 (million)
% 13.52/2.85 % (3836304)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=2195458086:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.52/2.85 % (3836300)Instruction limit reached!
% 13.52/2.85 % (3836300)------------------------------
% 13.52/2.85 % (3836300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836300)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836300)Termination reason: Instruction limit
% 13.52/2.85 % (3836300)Termination phase: Saturation
% 13.52/2.85 % (3836300)Time elapsed: 0.205 s
% 13.52/2.85 % (3836300)Peak memory usage: 91 MB
% 13.52/2.85 % (3836300)Instructions burned: 325 (million)
% 13.52/2.85 % (3836299)------------------------------
% 13.52/2.85 % (3836299)------------------------------
% 13.52/2.85 % (3836305)------------------------------
% 13.52/2.85 % (3836305)------------------------------
% 13.52/2.85 % (3836304)Instruction limit reached!
% 13.52/2.85 % (3836304)------------------------------
% 13.52/2.85 % (3836304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836304)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836304)Termination reason: Instruction limit
% 13.52/2.85 % (3836304)Termination phase: Saturation
% 13.52/2.85 % (3836304)Time elapsed: 0.137 s
% 13.52/2.85 % (3836304)Peak memory usage: 89 MB
% 13.52/2.85 % (3836304)Instructions burned: 248 (million)
% 13.52/2.85 % (3836308)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3316520404:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 13.52/2.85 % (3836309)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1043801552:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 13.52/2.85 % (3836310)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3501626540:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 13.52/2.85 % (3836310)Instruction limit reached!
% 13.52/2.85 % (3836310)------------------------------
% 13.52/2.85 % (3836310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836310)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836310)Termination reason: Instruction limit
% 13.52/2.85 % (3836310)Termination phase: Saturation
% 13.52/2.85 % (3836310)Time elapsed: 0.035 s
% 13.52/2.85 % (3836310)Peak memory usage: 89 MB
% 13.52/2.85 % (3836310)Instructions burned: 129 (million)
% 13.52/2.85 % (3836311)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=506101827:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.52/2.85 % (3836309)Instruction limit reached!
% 13.52/2.85 % (3836309)------------------------------
% 13.52/2.85 % (3836309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836309)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836309)Termination reason: Instruction limit
% 13.52/2.85 % (3836309)Termination phase: Saturation
% 13.52/2.85 % (3836309)Time elapsed: 0.082 s
% 13.52/2.85 % (3836309)Peak memory usage: 90 MB
% 13.52/2.85 % (3836309)Instructions burned: 114 (million)
% 13.52/2.85 % (3836311)Instruction limit reached!
% 13.52/2.85 % (3836311)------------------------------
% 13.52/2.85 % (3836311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836311)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836311)Termination reason: Instruction limit
% 13.52/2.85 % (3836311)Termination phase: Saturation
% 13.52/2.85 % (3836311)Time elapsed: 0.072 s
% 13.52/2.85 % (3836311)Peak memory usage: 89 MB
% 13.52/2.85 % (3836311)Instructions burned: 116 (million)
% 13.52/2.85 % (3836315)lrs+10_1_sil=8000:sp=occurrence:random_seed=3508076709:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 13.52/2.85 % (3836317)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=975974398:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 13.52/2.85 % (3836317)Refutation not found, incomplete strategy
% 13.52/2.85 % (3836317)------------------------------
% 13.52/2.85 % (3836317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836317)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836317)Termination reason: Refutation not found, incomplete strategy
% 13.52/2.85 % (3836317)Time elapsed: 0.003 s
% 13.52/2.85 % (3836317)Peak memory usage: 88 MB
% 13.52/2.85 % (3836317)Instructions burned: 2 (million)
% 13.52/2.85 % (3836318)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2370502666:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 13.52/2.85 % (3836315)Instruction limit reached!
% 13.52/2.85 % (3836315)------------------------------
% 13.52/2.85 % (3836315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836315)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836315)Termination reason: Instruction limit
% 13.52/2.85 % (3836315)Termination phase: Saturation
% 13.52/2.85 % (3836315)Time elapsed: 0.281 s
% 13.52/2.85 % (3836315)Peak memory usage: 95 MB
% 13.52/2.85 % (3836315)Instructions burned: 909 (million)
% 13.52/2.85 % (3836317)------------------------------
% 13.52/2.85 % (3836317)------------------------------
% 13.52/2.85 % (3836322)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2778653866:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 13.52/2.85 % (3836322)Instruction limit reached!
% 13.52/2.85 % (3836322)------------------------------
% 13.52/2.85 % (3836322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836322)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836322)Termination reason: Instruction limit
% 13.52/2.85 % (3836322)Termination phase: Saturation
% 13.52/2.85 % (3836322)Time elapsed: 0.040 s
% 13.52/2.85 % (3836322)Peak memory usage: 90 MB
% 13.52/2.85 % (3836322)Instructions burned: 137 (million)
% 13.52/2.85 % (3836323)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2473106031:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 13.52/2.85 % (3836323)Refutation not found, incomplete strategy
% 13.52/2.85 % (3836323)------------------------------
% 13.52/2.85 % (3836323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836323)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836323)Termination reason: Refutation not found, incomplete strategy
% 13.52/2.85 % (3836323)Time elapsed: 0.003 s
% 13.52/2.85 % (3836323)Peak memory usage: 88 MB
% 13.52/2.85 % (3836323)Instructions burned: 2 (million)
% 13.52/2.85 % (3836325)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2501274119:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 13.52/2.85 % (3836323)------------------------------
% 13.52/2.85 % (3836323)------------------------------
% 13.52/2.85 % (3836308)First to succeed.
% 13.52/2.85 % (3836308)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3836279"
% 13.52/2.85 % (3836328)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=3913545068:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 13.52/2.85 % (3836318)Also succeeded, but the first one will report.
% 13.52/2.85 % (3836328)Instruction limit reached!
% 13.52/2.85 % (3836328)------------------------------
% 13.52/2.85 % (3836328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.52/2.85 % (3836328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.52/2.85 % (3836328)CaDiCaL version: 2.1.3
% 13.52/2.85 % (3836328)Termination reason: Instruction limit
% 13.52/2.85 % (3836328)Termination phase: Saturation
% 13.52/2.85 % (3836328)Time elapsed: 0.088 s
% 13.52/2.85 % (3836328)Peak memory usage: 90 MB
% 13.52/2.85 % (3836328)Instructions burned: 125 (million)
% 13.52/2.85 % (3836308)Refutation found. Thanks to Tanya!
% 13.52/2.85 % SZS status Theorem for theBenchmark
% 13.52/2.85 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.05 % (3836308)------------------------------
% 0.16/3.05 % (3836308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.05 % (3836308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.05 % (3836308)CaDiCaL version: 2.1.3
% 0.16/3.05 % (3836308)Termination reason: Refutation
% 0.16/3.05 % (3836308)Time elapsed: 0.971 s
% 0.16/3.05 % (3836308)Peak memory usage: 134 MB
% 0.16/3.05 % (3836308)Instructions burned: 1474 (million)
% 0.16/3.05 % (3836308)------------------------------
% 0.16/3.05 % (3836308)------------------------------
% 0.16/3.05 % (3836279)Success in time 2.013 s
% 0.16/3.05 % Vampire exiting
%------------------------------------------------------------------------------