%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU233+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 16.46s 3.17s
% Output : Refutation 16.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 31
% Syntax : Number of formulae : 261 ( 32 unt; 19 def)
% Number of atoms : 724 ( 68 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 774 ( 311 ~; 362 |; 61 &)
% ( 26 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 20 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 254 ( 0 sgn 242 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f2,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
=> ~ proper_subset(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
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] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f9,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f10,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f11,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( subset(X0,X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f34,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_ordinal1) ).
fof(f35,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f36,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f39,axiom,
! [X0] : set_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(f46,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(f50,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f51,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f53,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f59,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f67,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0)
& ordinal(X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f69,plain,
? [X0] :
( ? [X1] :
( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0)
& ordinal(X1) )
& ordinal(X0) ),
inference(flattening,[],[f68]) ).
fof(f77,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f79,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,[],[f59]) ).
fof(f80,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,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))],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f83,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [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,[],[f86]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X1)
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( in(sK2(X0,X1,X2),X0)
& ~ in(sK2(X0,X1,X2),X1) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 )
& ( ( subset(X0,X1)
& X0 != X1 )
| ~ proper_subset(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f90,plain,
! [X0,X1] :
( ( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 )
& ( ( subset(X0,X1)
& X0 != X1 )
| ~ proper_subset(X0,X1) ) ),
inference(flattening,[],[f89]) ).
fof(f102,plain,
( ~ in(sK14,sK15)
& sK14 != sK15
& ~ in(sK15,sK14)
& ordinal(sK15)
& ordinal(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f69]) ).
fof(f104,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK16(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK16(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X1))],[f77]) ).
fof(f105,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f106,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| ~ proper_subset(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f109,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f115,plain,
! [X2,X0] :
( ~ epsilon_transitive(X0)
| ~ in(X2,X0)
| subset(X2,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f116,plain,
! [X0] :
( in(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0] :
( ~ subset(sK0(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f118,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f119,plain,
! [X0,X1] :
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f120,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f121,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f122,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f129,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| proper_subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f163,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f164,plain,
! [X0,X1] :
( ~ ordinal(X1)
| ~ in(X0,X1)
| ordinal(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f165,plain,
ordinal(sK14),
inference(cnf_transformation,[],[f102]) ).
fof(f166,plain,
ordinal(sK15),
inference(cnf_transformation,[],[f102]) ).
fof(f167,plain,
~ in(sK15,sK14),
inference(cnf_transformation,[],[f102]) ).
fof(f168,plain,
sK14 != sK15,
inference(cnf_transformation,[],[f102]) ).
fof(f169,plain,
~ in(sK14,sK15),
inference(cnf_transformation,[],[f102]) ).
fof(f171,plain,
! [X0] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f39]) ).
fof(f179,plain,
! [X3,X0,X1] :
( ~ in(X3,sK16(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f180,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK16(X1),X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f182,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f123]) ).
fof(f183,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f122]) ).
fof(f184,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f121]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ in(sK1(set_difference(X0,X1),X2),X1)
| subset(set_difference(X0,X1),X2) ),
inference(resolution,[],[f119,f184]) ).
fof(f191,plain,
! [X2,X0,X1] :
( in(sK1(set_difference(X0,X1),X2),X0)
| subset(set_difference(X0,X1),X2) ),
inference(resolution,[],[f119,f183]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ in(sK1(X0,set_difference(X1,X2)),X1)
| subset(X0,set_difference(X1,X2))
| in(sK1(X0,set_difference(X1,X2)),X2) ),
inference(resolution,[],[f120,f182]) ).
fof(f195,plain,
! [X0,X1] :
( ~ ordinal(X1)
| subset(X0,X1)
| ~ in(X0,X1) ),
inference(resolution,[],[f115,f109]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ in(sK1(sK16(X0),X1),X0)
| ~ in(X2,X0)
| subset(sK16(X0),X1) ),
inference(resolution,[],[f179,f119]) ).
fof(f199,plain,
! [X0] :
( subset(X0,sK15)
| ~ in(X0,sK15) ),
inference(resolution,[],[f195,f166]) ).
fof(f202,plain,
! [X0,X1] :
( ~ in(X0,sK15)
| ~ in(X1,X0)
| in(X1,sK15) ),
inference(resolution,[],[f199,f118]) ).
fof(f207,plain,
( epsilon_transitive(sK15)
| ~ in(sK0(sK15),sK15) ),
inference(resolution,[],[f117,f199]) ).
fof(f208,plain,
epsilon_transitive(sK15),
inference(forward_subsumption_resolution,[],[f207,f116]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| in(sK16(set_difference(X0,X1)),set_difference(X0,X1))
| in(X2,X1) ),
inference(resolution,[],[f180,f182]) ).
fof(f213,plain,
! [X0] :
( in(sK16(X0),X0)
| epsilon_transitive(X0) ),
inference(resolution,[],[f180,f116]) ).
fof(f214,plain,
! [X0,X1] :
( in(sK16(X0),X0)
| subset(X0,X1) ),
inference(resolution,[],[f180,f119]) ).
fof(f216,plain,
! [X0] :
( ~ in(X0,sK15)
| ordinal(X0) ),
inference(resolution,[],[f164,f166]) ).
fof(f220,plain,
! [X0] :
( ordinal(sK1(sK15,X0))
| subset(sK15,X0) ),
inference(resolution,[],[f216,f119]) ).
fof(f240,plain,
! [X0,X1] :
( subset(X1,sK1(sK15,X0))
| subset(sK15,X0)
| ~ in(X1,sK1(sK15,X0)) ),
inference(resolution,[],[f220,f195]) ).
fof(f250,plain,
! [X2,X0,X1] :
( in(sK16(set_difference(X0,X1)),set_difference(X0,X1))
| in(sK1(X0,X2),X1)
| subset(X0,X2) ),
inference(resolution,[],[f212,f119]) ).
fof(f253,plain,
! [X0,X1] :
( subset(set_difference(X0,X1),X0)
| subset(set_difference(X0,X1),X0) ),
inference(resolution,[],[f191,f120]) ).
fof(f254,plain,
! [X2,X0,X1] :
( subset(set_difference(X0,X1),set_difference(X0,X2))
| subset(set_difference(X0,X1),set_difference(X0,X2))
| in(sK1(set_difference(X0,X1),set_difference(X0,X2)),X2) ),
inference(resolution,[],[f191,f193]) ).
fof(f263,plain,
! [X2,X0,X1] :
( in(sK1(set_difference(X0,X1),set_difference(X0,X2)),X2)
| subset(set_difference(X0,X1),set_difference(X0,X2)) ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f264,plain,
! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f271,plain,
! [X0,X1] :
( ~ in(X0,sK1(sK15,X1))
| in(X0,sK15)
| subset(sK15,X1) ),
inference(resolution,[],[f202,f119]) ).
fof(f285,plain,
! [X0,X1] :
( in(sK16(X0),X0)
| proper_subset(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f214,f129]) ).
fof(f359,plain,
! [X0,X1] :
( proper_subset(set_difference(X0,X1),X0)
| set_difference(X0,X1) = X0 ),
inference(resolution,[],[f264,f129]) ).
fof(f425,plain,
! [X0,X1] :
( in(sK16(set_difference(X0,X1)),set_difference(X0,X1))
| subset(X0,X1)
| subset(X0,X1) ),
inference(resolution,[],[f250,f120]) ).
fof(f441,plain,
! [X0,X1] :
( in(sK16(set_difference(X0,X1)),set_difference(X0,X1))
| subset(X0,X1) ),
inference(duplicate_literal_removal,[],[f425]) ).
fof(f444,plain,
! [X0,X1] :
( in(sK16(set_difference(X0,X1)),X0)
| subset(X0,X1) ),
inference(resolution,[],[f441,f183]) ).
fof(f560,plain,
! [X2,X3,X0,X1] :
( ~ in(sK1(set_difference(X0,X1),set_difference(X0,sK16(X2))),X2)
| subset(set_difference(X0,X1),set_difference(X0,sK16(X2)))
| ~ in(X3,X2) ),
inference(resolution,[],[f263,f179]) ).
fof(f644,plain,
! [X2,X3,X0,X1] :
( ~ in(sK1(sK16(set_difference(X1,X2)),X3),X1)
| subset(sK16(set_difference(X1,X2)),X3)
| ~ in(X0,set_difference(X1,X2))
| in(sK1(sK16(set_difference(X1,X2)),X3),X2) ),
inference(resolution,[],[f197,f182]) ).
fof(f684,plain,
! [X0,X1] :
( in(sK16(X0),X0)
| X0 = X1
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(resolution,[],[f285,f163]) ).
fof(f685,plain,
! [X0,X1] :
( ~ ordinal(X1)
| X0 = X1
| in(X0,X1)
| in(sK16(X0),X0) ),
inference(forward_subsumption_resolution,[],[f684,f213]) ).
fof(f688,plain,
! [X0] :
( in(sK16(X0),X0)
| in(X0,sK14)
| sK14 = X0 ),
inference(resolution,[],[f685,f165]) ).
fof(f957,definition,
( spl17_35
<=> in(sK15,sK15) ),
introduced(definition,[new_symbols(definition,[spl17_35])],[avatar_definition]) ).
fof(f958,plain,
( in(sK15,sK15)
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f1051,plain,
! [X0,X1] :
( ~ proper_subset(X0,set_difference(X0,X1))
| set_difference(X0,X1) = X0 ),
inference(resolution,[],[f106,f359]) ).
fof(f1192,plain,
! [X0,X1] :
( in(sK1(sK1(sK15,X0),X1),sK15)
| subset(sK15,X0)
| subset(sK1(sK15,X0),X1) ),
inference(resolution,[],[f271,f119]) ).
fof(f1216,plain,
! [X0,X1] :
( subset(sK15,X0)
| subset(sK1(sK15,X0),set_difference(sK15,X1))
| subset(sK1(sK15,X0),set_difference(sK15,X1))
| in(sK1(sK1(sK15,X0),set_difference(sK15,X1)),X1) ),
inference(resolution,[],[f1192,f193]) ).
fof(f1222,plain,
! [X0,X1] :
( in(sK1(sK1(sK15,X0),set_difference(sK15,X1)),X1)
| subset(sK1(sK15,X0),set_difference(sK15,X1))
| subset(sK15,X0) ),
inference(duplicate_literal_removal,[],[f1216]) ).
fof(f1912,plain,
! [X0] :
( subset(sK15,X0)
| ~ in(sK0(sK1(sK15,X0)),sK1(sK15,X0))
| epsilon_transitive(sK1(sK15,X0)) ),
inference(resolution,[],[f240,f117]) ).
fof(f1913,plain,
! [X0] :
( epsilon_transitive(sK1(sK15,X0))
| subset(sK15,X0) ),
inference(forward_subsumption_resolution,[],[f1912,f116]) ).
fof(f3209,definition,
( spl17_69
<=> subset(sK15,sK14) ),
introduced(definition,[new_symbols(definition,[spl17_69])],[avatar_definition]) ).
fof(f3210,plain,
( subset(sK15,sK14)
| ~ spl17_69 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f3218,plain,
( proper_subset(sK15,sK14)
| sK14 = sK15
| ~ spl17_69 ),
inference(resolution,[],[f3210,f129]) ).
fof(f3219,plain,
( proper_subset(sK15,sK14)
| ~ spl17_69 ),
inference(forward_subsumption_resolution,[],[f3218,f168]) ).
fof(f3222,plain,
( in(sK15,sK14)
| ~ ordinal(sK14)
| ~ epsilon_transitive(sK15)
| ~ spl17_69 ),
inference(resolution,[],[f3219,f163]) ).
fof(f3224,plain,
( ~ ordinal(sK14)
| ~ epsilon_transitive(sK15)
| ~ spl17_69 ),
inference(forward_subsumption_resolution,[],[f3222,f167]) ).
fof(f3225,plain,
( ~ epsilon_transitive(sK15)
| ~ spl17_69 ),
inference(forward_subsumption_resolution,[],[f3224,f165]) ).
fof(f3226,plain,
( $false
| ~ spl17_69 ),
inference(forward_subsumption_resolution,[],[f3225,f208]) ).
fof(f3227,plain,
~ spl17_69,
inference(avatar_contradiction_clause,[],[f3226]) ).
fof(f7406,plain,
! [X2,X0,X1] :
( subset(set_difference(X0,X1),set_difference(X0,sK16(X0)))
| ~ in(X2,X0)
| subset(set_difference(X0,X1),set_difference(X0,sK16(X0))) ),
inference(resolution,[],[f560,f191]) ).
fof(f7427,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| subset(set_difference(X0,X1),set_difference(X0,sK16(X0))) ),
inference(duplicate_literal_removal,[],[f7406]) ).
fof(f7506,plain,
! [X0,X1] :
( subset(set_difference(X0,X1),set_difference(X0,sK16(X0)))
| in(X0,sK14)
| sK14 = X0 ),
inference(resolution,[],[f7427,f688]) ).
fof(f7636,plain,
! [X0,X1] :
( proper_subset(set_difference(X0,X1),set_difference(X0,sK16(X0)))
| sK14 = X0
| in(X0,sK14)
| set_difference(X0,X1) = set_difference(X0,sK16(X0)) ),
inference(resolution,[],[f7506,f129]) ).
fof(f7763,plain,
! [X0] :
( proper_subset(X0,set_difference(X0,sK16(X0)))
| sK14 = X0
| in(X0,sK14)
| set_difference(X0,sK16(X0)) = X0 ),
inference(superposition,[],[f7636,f171]) ).
fof(f7770,plain,
! [X0] :
( in(X0,sK14)
| sK14 = X0
| set_difference(X0,sK16(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f7763,f1051]) ).
fof(f7789,plain,
! [X0] :
( subset(X0,sK14)
| sK1(X0,sK14) = set_difference(sK1(X0,sK14),sK16(sK1(X0,sK14)))
| sK14 = sK1(X0,sK14) ),
inference(resolution,[],[f7770,f120]) ).
fof(f7836,plain,
! [X0] :
( proper_subset(X0,sK14)
| sK14 = sK1(X0,sK14)
| sK1(X0,sK14) = set_difference(sK1(X0,sK14),sK16(sK1(X0,sK14)))
| sK14 = X0 ),
inference(resolution,[],[f7789,f129]) ).
fof(f7839,plain,
! [X0] :
( sK14 = sK1(X0,sK14)
| sK1(X0,sK14) = set_difference(sK1(X0,sK14),sK16(sK1(X0,sK14)))
| sK14 = X0
| in(X0,sK14)
| ~ ordinal(sK14)
| ~ epsilon_transitive(X0) ),
inference(resolution,[],[f7836,f163]) ).
fof(f7844,plain,
! [X0] :
( ~ epsilon_transitive(X0)
| sK1(X0,sK14) = set_difference(sK1(X0,sK14),sK16(sK1(X0,sK14)))
| sK14 = X0
| in(X0,sK14)
| sK14 = sK1(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f7839,f165]) ).
fof(f7851,plain,
( sK1(sK15,sK14) = set_difference(sK1(sK15,sK14),sK16(sK1(sK15,sK14)))
| sK14 = sK15
| in(sK15,sK14)
| sK14 = sK1(sK15,sK14) ),
inference(resolution,[],[f7844,f208]) ).
fof(f7854,plain,
( sK1(sK15,sK14) = set_difference(sK1(sK15,sK14),sK16(sK1(sK15,sK14)))
| in(sK15,sK14)
| sK14 = sK1(sK15,sK14) ),
inference(forward_subsumption_resolution,[],[f7851,f168]) ).
fof(f7855,plain,
( sK1(sK15,sK14) = set_difference(sK1(sK15,sK14),sK16(sK1(sK15,sK14)))
| sK14 = sK1(sK15,sK14) ),
inference(forward_subsumption_resolution,[],[f7854,f167]) ).
fof(f7857,definition,
( spl17_106
<=> sK14 = sK1(sK15,sK14) ),
introduced(definition,[new_symbols(definition,[spl17_106])],[avatar_definition]) ).
fof(f7858,plain,
( sK14 = sK1(sK15,sK14)
| ~ spl17_106 ),
inference(avatar_component_clause,[],[f7857]) ).
fof(f7860,definition,
( spl17_107
<=> sK1(sK15,sK14) = set_difference(sK1(sK15,sK14),sK16(sK1(sK15,sK14))) ),
introduced(definition,[new_symbols(definition,[spl17_107])],[avatar_definition]) ).
fof(f7861,plain,
( sK1(sK15,sK14) = set_difference(sK1(sK15,sK14),sK16(sK1(sK15,sK14)))
| ~ spl17_107 ),
inference(avatar_component_clause,[],[f7860]) ).
fof(f7862,plain,
( spl17_106
| spl17_107 ),
inference(avatar_split_clause,[],[f7855,f7860,f7857]) ).
fof(f7948,definition,
( spl17_108
<=> in(sK1(sK15,sK14),sK14) ),
introduced(definition,[new_symbols(definition,[spl17_108])],[avatar_definition]) ).
fof(f7949,plain,
( in(sK1(sK15,sK14),sK14)
| ~ spl17_108 ),
inference(avatar_component_clause,[],[f7948]) ).
fof(f7985,definition,
( spl17_118
<=> epsilon_transitive(sK1(sK15,sK14)) ),
introduced(definition,[new_symbols(definition,[spl17_118])],[avatar_definition]) ).
fof(f7986,plain,
( epsilon_transitive(sK1(sK15,sK14))
| ~ spl17_118 ),
inference(avatar_component_clause,[],[f7985]) ).
fof(f7989,definition,
( spl17_119
<=> in(sK1(sK15,sK14),sK15) ),
introduced(definition,[new_symbols(definition,[spl17_119])],[avatar_definition]) ).
fof(f7990,plain,
( in(sK1(sK15,sK14),sK15)
| ~ spl17_119 ),
inference(avatar_component_clause,[],[f7989]) ).
fof(f7992,definition,
( spl17_120
<=> sK15 = sK1(sK15,sK14) ),
introduced(definition,[new_symbols(definition,[spl17_120])],[avatar_definition]) ).
fof(f7993,plain,
( sK15 = sK1(sK15,sK14)
| ~ spl17_120 ),
inference(avatar_component_clause,[],[f7992]) ).
fof(f8040,plain,
( in(sK14,sK15)
| subset(sK15,sK14)
| ~ spl17_106 ),
inference(superposition,[],[f119,f7858]) ).
fof(f8041,plain,
( subset(sK15,sK14)
| ~ spl17_106 ),
inference(forward_subsumption_resolution,[],[f8040,f169]) ).
fof(f8077,plain,
( spl17_69
| ~ spl17_106 ),
inference(avatar_split_clause,[],[f8041,f7857,f3209]) ).
fof(f8091,plain,
( ! [X0] :
( ~ in(sK1(sK1(sK15,sK14),X0),sK16(sK1(sK15,sK14)))
| subset(sK1(sK15,sK14),X0) )
| ~ spl17_107 ),
inference(superposition,[],[f190,f7861]) ).
fof(f8504,plain,
( subset(sK1(sK15,sK14),set_difference(sK15,sK16(sK1(sK15,sK14))))
| subset(sK1(sK15,sK14),set_difference(sK15,sK16(sK1(sK15,sK14))))
| subset(sK15,sK14)
| ~ spl17_107 ),
inference(resolution,[],[f8091,f1222]) ).
fof(f8519,plain,
( subset(sK1(sK15,sK14),set_difference(sK15,sK16(sK1(sK15,sK14))))
| subset(sK15,sK14)
| ~ spl17_107 ),
inference(duplicate_literal_removal,[],[f8504]) ).
fof(f8528,definition,
( spl17_179
<=> subset(sK1(sK15,sK14),set_difference(sK15,sK16(sK1(sK15,sK14)))) ),
introduced(definition,[new_symbols(definition,[spl17_179])],[avatar_definition]) ).
fof(f8529,plain,
( subset(sK1(sK15,sK14),set_difference(sK15,sK16(sK1(sK15,sK14))))
| ~ spl17_179 ),
inference(avatar_component_clause,[],[f8528]) ).
fof(f8530,plain,
( spl17_69
| spl17_179
| ~ spl17_107 ),
inference(avatar_split_clause,[],[f8519,f7860,f8528,f3209]) ).
fof(f8541,plain,
( ! [X0] :
( in(X0,set_difference(sK15,sK16(sK1(sK15,sK14))))
| ~ in(X0,sK1(sK15,sK14)) )
| ~ spl17_179 ),
inference(resolution,[],[f8529,f118]) ).
fof(f8640,definition,
( spl17_184
<=> proper_subset(sK1(sK15,sK14),sK15) ),
introduced(definition,[new_symbols(definition,[spl17_184])],[avatar_definition]) ).
fof(f8641,plain,
( proper_subset(sK1(sK15,sK14),sK15)
| ~ spl17_184 ),
inference(avatar_component_clause,[],[f8640]) ).
fof(f8668,plain,
( ~ epsilon_transitive(sK1(sK15,sK14))
| spl17_118 ),
inference(avatar_component_clause,[],[f7985]) ).
fof(f8784,plain,
( subset(sK15,sK14)
| spl17_118 ),
inference(resolution,[],[f8668,f1913]) ).
fof(f8786,plain,
( spl17_69
| spl17_118 ),
inference(avatar_split_clause,[],[f8784,f7985,f3209]) ).
fof(f8986,plain,
( subset(sK15,sK14)
| ~ spl17_108 ),
inference(resolution,[],[f7949,f120]) ).
fof(f8995,plain,
( spl17_69
| ~ spl17_108 ),
inference(avatar_split_clause,[],[f8986,f7948,f3209]) ).
fof(f10117,plain,
( ! [X0] :
( ~ in(X0,sK1(sK15,sK14))
| in(X0,sK15) )
| ~ spl17_179 ),
inference(resolution,[],[f8541,f183]) ).
fof(f10363,plain,
( ! [X0] :
( in(sK1(sK1(sK15,sK14),X0),sK15)
| subset(sK1(sK15,sK14),X0) )
| ~ spl17_179 ),
inference(resolution,[],[f10117,f119]) ).
fof(f10485,plain,
( subset(sK1(sK15,sK14),sK15)
| subset(sK1(sK15,sK14),sK15)
| ~ spl17_179 ),
inference(resolution,[],[f10363,f120]) ).
fof(f10495,plain,
( subset(sK1(sK15,sK14),sK15)
| ~ spl17_179 ),
inference(duplicate_literal_removal,[],[f10485]) ).
fof(f10501,plain,
( proper_subset(sK1(sK15,sK14),sK15)
| sK15 = sK1(sK15,sK14)
| ~ spl17_179 ),
inference(resolution,[],[f10495,f129]) ).
fof(f10502,plain,
( spl17_120
| spl17_184
| ~ spl17_179 ),
inference(avatar_split_clause,[],[f10501,f8528,f8640,f7992]) ).
fof(f10567,plain,
( in(sK15,sK15)
| subset(sK15,sK14)
| ~ spl17_120 ),
inference(superposition,[],[f119,f7993]) ).
fof(f10568,plain,
( spl17_69
| spl17_35
| ~ spl17_120 ),
inference(avatar_split_clause,[],[f10567,f7992,f957,f3209]) ).
fof(f10636,plain,
( in(sK1(sK15,sK14),sK15)
| ~ ordinal(sK15)
| ~ epsilon_transitive(sK1(sK15,sK14))
| ~ spl17_184 ),
inference(resolution,[],[f8641,f163]) ).
fof(f10637,plain,
( in(sK1(sK15,sK14),sK15)
| ~ epsilon_transitive(sK1(sK15,sK14))
| ~ spl17_184 ),
inference(forward_subsumption_resolution,[],[f10636,f166]) ).
fof(f10638,plain,
( in(sK1(sK15,sK14),sK15)
| ~ spl17_118
| ~ spl17_184 ),
inference(forward_subsumption_resolution,[],[f10637,f7986]) ).
fof(f10639,plain,
( spl17_119
| ~ spl17_118
| ~ spl17_184 ),
inference(avatar_split_clause,[],[f10638,f8640,f7985,f7989]) ).
fof(f11114,plain,
( ~ in(sK15,sK15)
| ~ spl17_35 ),
inference(resolution,[],[f958,f105]) ).
fof(f11119,plain,
( $false
| ~ spl17_35 ),
inference(forward_subsumption_resolution,[],[f11114,f958]) ).
fof(f11120,plain,
~ spl17_35,
inference(avatar_contradiction_clause,[],[f11119]) ).
fof(f11865,definition,
( spl17_320
<=> sK14 = sK16(set_difference(sK15,sK14)) ),
introduced(definition,[new_symbols(definition,[spl17_320])],[avatar_definition]) ).
fof(f11866,plain,
( sK14 = sK16(set_difference(sK15,sK14))
| ~ spl17_320 ),
inference(avatar_component_clause,[],[f11865]) ).
fof(f11999,definition,
( spl17_332
<=> in(sK16(set_difference(sK15,sK14)),sK15) ),
introduced(definition,[new_symbols(definition,[spl17_332])],[avatar_definition]) ).
fof(f12000,plain,
( in(sK16(set_difference(sK15,sK14)),sK15)
| ~ spl17_332 ),
inference(avatar_component_clause,[],[f11999]) ).
fof(f12048,plain,
( in(sK14,sK15)
| subset(sK15,sK14)
| ~ spl17_320 ),
inference(superposition,[],[f444,f11866]) ).
fof(f12191,definition,
( spl17_359
<=> ! [X2] : ~ in(X2,set_difference(sK15,sK14)) ),
introduced(definition,[new_symbols(definition,[spl17_359])],[avatar_definition]) ).
fof(f12192,plain,
( ! [X2] : ~ in(X2,set_difference(sK15,sK14))
| ~ spl17_359 ),
inference(avatar_component_clause,[],[f12191]) ).
fof(f12278,plain,
( subset(sK15,sK14)
| ~ spl17_320 ),
inference(forward_subsumption_resolution,[],[f12048,f169]) ).
fof(f12325,plain,
( spl17_69
| ~ spl17_320 ),
inference(avatar_split_clause,[],[f12278,f11865,f3209]) ).
fof(f18009,definition,
( spl17_706
<=> in(sK1(sK15,sK14),set_difference(sK15,sK14)) ),
introduced(definition,[new_symbols(definition,[spl17_706])],[avatar_definition]) ).
fof(f18010,plain,
( in(sK1(sK15,sK14),set_difference(sK15,sK14))
| ~ spl17_706 ),
inference(avatar_component_clause,[],[f18009]) ).
fof(f18088,definition,
( spl17_714
<=> in(sK16(set_difference(sK15,sK14)),set_difference(sK15,sK14)) ),
introduced(definition,[new_symbols(definition,[spl17_714])],[avatar_definition]) ).
fof(f18089,plain,
( in(sK16(set_difference(sK15,sK14)),set_difference(sK15,sK14))
| ~ spl17_714 ),
inference(avatar_component_clause,[],[f18088]) ).
fof(f18323,plain,
( $false
| ~ spl17_359
| ~ spl17_706 ),
inference(forward_subsumption_resolution,[],[f18010,f12192]) ).
fof(f18324,plain,
( ~ spl17_359
| ~ spl17_706 ),
inference(avatar_contradiction_clause,[],[f18323]) ).
fof(f18333,plain,
( in(sK16(set_difference(sK15,sK14)),set_difference(sK15,sK14))
| ~ spl17_706 ),
inference(resolution,[],[f18010,f180]) ).
fof(f18342,plain,
( ~ in(sK16(set_difference(sK15,sK14)),sK14)
| ~ spl17_714 ),
inference(resolution,[],[f18089,f184]) ).
fof(f18343,plain,
( in(sK16(set_difference(sK15,sK14)),sK15)
| ~ spl17_714 ),
inference(resolution,[],[f18089,f183]) ).
fof(f18348,plain,
( spl17_332
| ~ spl17_714 ),
inference(avatar_split_clause,[],[f18343,f18088,f11999]) ).
fof(f18352,plain,
( ordinal(sK16(set_difference(sK15,sK14)))
| ~ spl17_332 ),
inference(resolution,[],[f12000,f216]) ).
fof(f18645,plain,
( spl17_714
| ~ spl17_706 ),
inference(avatar_split_clause,[],[f18333,f18009,f18088]) ).
fof(f19419,definition,
( spl17_836
<=> ordinal(sK16(set_difference(sK15,sK14))) ),
introduced(definition,[new_symbols(definition,[spl17_836])],[avatar_definition]) ).
fof(f19420,plain,
( ordinal(sK16(set_difference(sK15,sK14)))
| ~ spl17_836 ),
inference(avatar_component_clause,[],[f19419]) ).
fof(f19477,plain,
( ~ in(sK1(sK15,sK14),set_difference(sK15,sK14))
| spl17_706 ),
inference(avatar_component_clause,[],[f18009]) ).
fof(f19497,plain,
( ~ in(sK1(sK15,sK14),sK15)
| in(sK1(sK15,sK14),sK14)
| spl17_706 ),
inference(resolution,[],[f19477,f182]) ).
fof(f19498,plain,
( in(sK1(sK15,sK14),sK14)
| ~ spl17_119
| spl17_706 ),
inference(forward_subsumption_resolution,[],[f19497,f7990]) ).
fof(f19511,plain,
( spl17_108
| ~ spl17_119
| spl17_706 ),
inference(avatar_split_clause,[],[f19498,f18009,f7989,f7948]) ).
fof(f19512,plain,
( spl17_836
| ~ spl17_332 ),
inference(avatar_split_clause,[],[f18352,f11999,f19419]) ).
fof(f19525,plain,
( ! [X0] :
( ~ in(X0,sK16(set_difference(sK15,sK14)))
| in(X0,sK15) )
| ~ spl17_332 ),
inference(resolution,[],[f12000,f202]) ).
fof(f19543,definition,
( spl17_848
<=> subset(sK16(set_difference(sK15,sK14)),sK14) ),
introduced(definition,[new_symbols(definition,[spl17_848])],[avatar_definition]) ).
fof(f19544,plain,
( subset(sK16(set_difference(sK15,sK14)),sK14)
| ~ spl17_848 ),
inference(avatar_component_clause,[],[f19543]) ).
fof(f19590,plain,
( ! [X0] :
( in(sK1(sK16(set_difference(sK15,sK14)),X0),sK15)
| subset(sK16(set_difference(sK15,sK14)),X0) )
| ~ spl17_332 ),
inference(resolution,[],[f19525,f119]) ).
fof(f19873,plain,
( ! [X0,X1] :
( subset(sK16(set_difference(sK15,sK14)),X0)
| subset(sK16(set_difference(sK15,sK14)),X0)
| ~ in(X1,set_difference(sK15,sK14))
| in(sK1(sK16(set_difference(sK15,sK14)),X0),sK14) )
| ~ spl17_332 ),
inference(resolution,[],[f19590,f644]) ).
fof(f19885,plain,
( ! [X0,X1] :
( subset(sK16(set_difference(sK15,sK14)),X0)
| ~ in(X1,set_difference(sK15,sK14))
| in(sK1(sK16(set_difference(sK15,sK14)),X0),sK14) )
| ~ spl17_332 ),
inference(duplicate_literal_removal,[],[f19873]) ).
fof(f19888,definition,
( spl17_857
<=> ! [X0] :
( subset(sK16(set_difference(sK15,sK14)),X0)
| in(sK1(sK16(set_difference(sK15,sK14)),X0),sK14) ) ),
introduced(definition,[new_symbols(definition,[spl17_857])],[avatar_definition]) ).
fof(f19889,plain,
( ! [X0] :
( in(sK1(sK16(set_difference(sK15,sK14)),X0),sK14)
| subset(sK16(set_difference(sK15,sK14)),X0) )
| ~ spl17_857 ),
inference(avatar_component_clause,[],[f19888]) ).
fof(f19890,plain,
( spl17_359
| spl17_857
| ~ spl17_332 ),
inference(avatar_split_clause,[],[f19885,f11999,f19888,f12191]) ).
fof(f19902,plain,
( subset(sK16(set_difference(sK15,sK14)),sK14)
| subset(sK16(set_difference(sK15,sK14)),sK14)
| ~ spl17_857 ),
inference(resolution,[],[f19889,f120]) ).
fof(f19912,plain,
( subset(sK16(set_difference(sK15,sK14)),sK14)
| ~ spl17_857 ),
inference(duplicate_literal_removal,[],[f19902]) ).
fof(f19914,plain,
( spl17_848
| ~ spl17_857 ),
inference(avatar_split_clause,[],[f19912,f19888,f19543]) ).
fof(f19918,plain,
( proper_subset(sK16(set_difference(sK15,sK14)),sK14)
| sK14 = sK16(set_difference(sK15,sK14))
| ~ spl17_848 ),
inference(resolution,[],[f19544,f129]) ).
fof(f19920,definition,
( spl17_859
<=> proper_subset(sK16(set_difference(sK15,sK14)),sK14) ),
introduced(definition,[new_symbols(definition,[spl17_859])],[avatar_definition]) ).
fof(f19921,plain,
( proper_subset(sK16(set_difference(sK15,sK14)),sK14)
| ~ spl17_859 ),
inference(avatar_component_clause,[],[f19920]) ).
fof(f19922,plain,
( spl17_320
| spl17_859
| ~ spl17_848 ),
inference(avatar_split_clause,[],[f19918,f19543,f19920,f11865]) ).
fof(f19924,plain,
( in(sK16(set_difference(sK15,sK14)),sK14)
| ~ ordinal(sK14)
| ~ epsilon_transitive(sK16(set_difference(sK15,sK14)))
| ~ spl17_859 ),
inference(resolution,[],[f19921,f163]) ).
fof(f19925,plain,
( ~ ordinal(sK14)
| ~ epsilon_transitive(sK16(set_difference(sK15,sK14)))
| ~ spl17_714
| ~ spl17_859 ),
inference(forward_subsumption_resolution,[],[f19924,f18342]) ).
fof(f19926,plain,
( ~ epsilon_transitive(sK16(set_difference(sK15,sK14)))
| ~ spl17_714
| ~ spl17_859 ),
inference(forward_subsumption_resolution,[],[f19925,f165]) ).
fof(f19928,plain,
( ~ ordinal(sK16(set_difference(sK15,sK14)))
| ~ spl17_714
| ~ spl17_859 ),
inference(resolution,[],[f19926,f109]) ).
fof(f19930,plain,
( $false
| ~ spl17_714
| ~ spl17_836
| ~ spl17_859 ),
inference(forward_subsumption_resolution,[],[f19928,f19420]) ).
fof(f19931,plain,
( ~ spl17_714
| ~ spl17_836
| ~ spl17_859 ),
inference(avatar_contradiction_clause,[],[f19930]) ).
cnf(s147,plain,
~ spl17_69,
inference(sat_conversion,[],[f3227]) ).
cnf(s180,plain,
( spl17_106
| spl17_107 ),
inference(sat_conversion,[],[f7862]) ).
cnf(s207,plain,
( spl17_69
| ~ spl17_106 ),
inference(sat_conversion,[],[f8077]) ).
cnf(s253,plain,
( spl17_69
| ~ spl17_107
| spl17_179 ),
inference(sat_conversion,[],[f8530]) ).
cnf(s287,plain,
( spl17_69
| spl17_118 ),
inference(sat_conversion,[],[f8786]) ).
cnf(s313,plain,
( spl17_69
| ~ spl17_108 ),
inference(sat_conversion,[],[f8995]) ).
cnf(s483,plain,
( spl17_120
| ~ spl17_179
| spl17_184 ),
inference(sat_conversion,[],[f10502]) ).
cnf(s484,plain,
( spl17_35
| spl17_69
| ~ spl17_120 ),
inference(sat_conversion,[],[f10568]) ).
cnf(s494,plain,
( ~ spl17_118
| spl17_119
| ~ spl17_184 ),
inference(sat_conversion,[],[f10639]) ).
cnf(s513,plain,
~ spl17_35,
inference(sat_conversion,[],[f11120]) ).
cnf(s621,plain,
( spl17_69
| ~ spl17_320 ),
inference(sat_conversion,[],[f12325]) ).
cnf(s1041,plain,
( ~ spl17_359
| ~ spl17_706 ),
inference(sat_conversion,[],[f18324]) ).
cnf(s1043,plain,
( spl17_332
| ~ spl17_714 ),
inference(sat_conversion,[],[f18348]) ).
cnf(s1122,plain,
( ~ spl17_706
| spl17_714 ),
inference(sat_conversion,[],[f18645]) ).
cnf(s1242,plain,
( spl17_108
| ~ spl17_119
| spl17_706 ),
inference(sat_conversion,[],[f19511]) ).
cnf(s1243,plain,
( ~ spl17_332
| spl17_836 ),
inference(sat_conversion,[],[f19512]) ).
cnf(s1277,plain,
( ~ spl17_332
| spl17_359
| spl17_857 ),
inference(sat_conversion,[],[f19890]) ).
cnf(s1279,plain,
( spl17_848
| ~ spl17_857 ),
inference(sat_conversion,[],[f19914]) ).
cnf(s1280,plain,
( spl17_320
| ~ spl17_848
| spl17_859 ),
inference(sat_conversion,[],[f19922]) ).
cnf(s1282,plain,
( ~ spl17_714
| ~ spl17_836
| ~ spl17_859 ),
inference(sat_conversion,[],[f19931]) ).
cnf(s1283,plain,
( spl17_69
| ~ spl17_120 ),
inference(rat,[],[s484,s513]) ).
cnf(s1284,plain,
~ spl17_320,
inference(rat,[],[s621,s147]) ).
cnf(s1285,plain,
~ spl17_120,
inference(rat,[],[s1283,s147]) ).
cnf(s1286,plain,
~ spl17_108,
inference(rat,[],[s313,s147]) ).
cnf(s1287,plain,
spl17_118,
inference(rat,[],[s287,s147]) ).
cnf(s1288,plain,
~ spl17_106,
inference(rat,[],[s207,s147]) ).
cnf(s1292,plain,
spl17_107,
inference(rat,[],[s180,s1288]) ).
cnf(s1295,plain,
spl17_179,
inference(rat,[],[s253,s147,s1292]) ).
cnf(s1298,plain,
spl17_184,
inference(rat,[],[s483,s1285,s1295]) ).
cnf(s1303,plain,
spl17_119,
inference(rat,[],[s494,s1287,s1298]) ).
cnf(s1305,plain,
spl17_706,
inference(rat,[],[s1242,s1286,s1303]) ).
cnf(s1312,plain,
spl17_714,
inference(rat,[],[s1122,s1305]) ).
cnf(s1313,plain,
~ spl17_359,
inference(rat,[],[s1041,s1305]) ).
cnf(s1314,plain,
spl17_332,
inference(rat,[],[s1043,s1312]) ).
cnf(s1316,plain,
spl17_857,
inference(rat,[],[s1277,s1313,s1314]) ).
cnf(s1318,plain,
spl17_836,
inference(rat,[],[s1243,s1314]) ).
cnf(s1319,plain,
spl17_848,
inference(rat,[],[s1279,s1316]) ).
cnf(s1320,plain,
~ spl17_859,
inference(rat,[],[s1282,s1312,s1318]) ).
cnf(s1321,plain,
$false,
inference(rat,[],[s1280,s1284,s1320,s1319]) ).
fof(f19932,plain,
$false,
inference(avatar_sat_refutation,[],[s1321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU233+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.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 04:12:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 14.37/3.02 % (794299)Detected formulas, will run a generic FOF schedule.
% 14.37/3.02 % (794306)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=4083451690:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.37/3.02 % (794309)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3850357221:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.37/3.02 % (794308)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2197246293:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.37/3.02 % (794307)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=758908249:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.37/3.02 % (794310)dis-21_1_sil=8000:lcm=predicate:random_seed=924558151: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)
% 14.37/3.02 % (794304)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=2011786929:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.37/3.02 % (794305)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=3516815104:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.37/3.02 % (794307)Refutation not found, incomplete strategy
% 14.37/3.02 % (794307)------------------------------
% 14.37/3.02 % (794307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/3.02 % (794307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/3.02 % (794307)CaDiCaL version: 2.1.3
% 14.37/3.02 % (794307)Termination reason: Refutation not found, incomplete strategy
% 14.37/3.02 % (794307)Time elapsed: 0.001 s
% 14.37/3.02 % (794307)Peak memory usage: 88 MB
% 14.37/3.02 % (794308)Refutation not found, incomplete strategy
% 14.37/3.02 % (794308)------------------------------
% 14.37/3.02 % (794308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/3.02 % (794308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/3.02 % (794308)CaDiCaL version: 2.1.3
% 14.37/3.02 % (794308)Termination reason: Refutation not found, incomplete strategy
% 14.37/3.02 % (794308)Time elapsed: 0.001 s
% 14.37/3.02 % (794308)Peak memory usage: 88 MB
% 14.37/3.02 % (794308)Instructions burned: 1 (million)
% 14.37/3.02 % (794310)Instruction limit reached!
% 14.37/3.02 % (794310)------------------------------
% 14.37/3.02 % (794310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/3.02 % (794310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/3.02 % (794310)CaDiCaL version: 2.1.3
% 14.37/3.02 % (794310)Termination reason: Instruction limit
% 14.37/3.02 % (794310)Termination phase: Saturation
% 14.37/3.02 % (794310)Time elapsed: 0.080 s
% 14.37/3.02 % (794310)Peak memory usage: 89 MB
% 14.37/3.02 % (794310)Instructions burned: 130 (million)
% 14.37/3.02 % (794309)Instruction limit reached!
% 14.37/3.02 % (794309)------------------------------
% 14.37/3.02 % (794309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/3.02 % (794309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/3.02 % (794309)CaDiCaL version: 2.1.3
% 14.37/3.02 % (794309)Termination reason: Instruction limit
% 14.37/3.02 % (794309)Termination phase: Saturation
% 14.37/3.02 % (794309)Time elapsed: 0.097 s
% 14.37/3.02 % (794309)Peak memory usage: 89 MB
% 14.37/3.02 % (794309)Instructions burned: 140 (million)
% 14.37/3.02 % (794318)lrs+10_1_sil=8000:sp=occurrence:random_seed=337831750:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.37/3.02 % (794319)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1895425576:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.37/3.02 % (794307)------------------------------
% 14.37/3.02 % (794307)------------------------------
% 14.37/3.02 % (794308)------------------------------
% 14.37/3.02 % (794308)------------------------------
% 14.37/3.02 % (794319)Instruction limit reached!
% 14.37/3.02 % (794319)------------------------------
% 14.37/3.02 % (794319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/3.02 % (794319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/3.02 % (794319)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794319)Termination reason: Instruction limit
% 16.46/3.17 % (794319)Termination phase: Saturation
% 16.46/3.17 % (794319)Time elapsed: 0.080 s
% 16.46/3.17 % (794319)Peak memory usage: 88 MB
% 16.46/3.17 % (794319)Instructions burned: 158 (million)
% 16.46/3.17 % (794322)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3321730540:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 16.46/3.17 % (794323)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=2756859529:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 16.46/3.17 % (794318)Instruction limit reached!
% 16.46/3.17 % (794318)------------------------------
% 16.46/3.17 % (794318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794318)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794318)Termination reason: Instruction limit
% 16.46/3.17 % (794318)Termination phase: Saturation
% 16.46/3.17 % (794318)Time elapsed: 0.182 s
% 16.46/3.17 % (794318)Peak memory usage: 91 MB
% 16.46/3.17 % (794318)Instructions burned: 286 (million)
% 16.46/3.17 % (794324)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1828221263:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 16.46/3.17 % (794324)Refutation not found, incomplete strategy
% 16.46/3.17 % (794324)------------------------------
% 16.46/3.17 % (794324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794324)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794324)Termination reason: Refutation not found, incomplete strategy
% 16.46/3.17 % (794324)Time elapsed: 0.002 s
% 16.46/3.17 % (794324)Peak memory usage: 88 MB
% 16.46/3.17 % (794324)Instructions burned: 2 (million)
% 16.46/3.17 % (794323)Instruction limit reached!
% 16.46/3.17 % (794323)------------------------------
% 16.46/3.17 % (794323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794323)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794323)Termination reason: Instruction limit
% 16.46/3.17 % (794323)Termination phase: Saturation
% 16.46/3.17 % (794323)Time elapsed: 0.135 s
% 16.46/3.17 % (794323)Peak memory usage: 91 MB
% 16.46/3.17 % (794323)Instructions burned: 249 (million)
% 16.46/3.17 % (794327)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1696163516:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 16.46/3.17 % (794322)Instruction limit reached!
% 16.46/3.17 % (794322)------------------------------
% 16.46/3.17 % (794322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794322)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794322)Termination reason: Instruction limit
% 16.46/3.17 % (794322)Termination phase: Saturation
% 16.46/3.17 % (794322)Time elapsed: 0.211 s
% 16.46/3.17 % (794322)Peak memory usage: 91 MB
% 16.46/3.17 % (794322)Instructions burned: 325 (million)
% 16.46/3.17 % (794329)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=233245872:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 16.46/3.17 % (794324)------------------------------
% 16.46/3.17 % (794324)------------------------------
% 16.46/3.17 % (794331)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1319780898:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.46/3.17 % (794329)Instruction limit reached!
% 16.46/3.17 % (794329)------------------------------
% 16.46/3.17 % (794329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794329)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794329)Termination reason: Instruction limit
% 16.46/3.17 % (794329)Termination phase: Saturation
% 16.46/3.17 % (794329)Time elapsed: 0.081 s
% 16.46/3.17 % (794329)Peak memory usage: 90 MB
% 16.46/3.17 % (794329)Instructions burned: 114 (million)
% 16.46/3.17 % (794331)Instruction limit reached!
% 16.46/3.17 % (794331)------------------------------
% 16.46/3.17 % (794331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794331)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794331)Termination reason: Instruction limit
% 16.46/3.17 % (794331)Termination phase: Saturation
% 16.46/3.17 % (794331)Time elapsed: 0.065 s
% 16.46/3.17 % (794331)Peak memory usage: 89 MB
% 16.46/3.17 % (794331)Instructions burned: 127 (million)
% 16.46/3.17 % (794333)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2236387788:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.46/3.17 % (794333)Instruction limit reached!
% 16.46/3.17 % (794333)------------------------------
% 16.46/3.17 % (794333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794333)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794333)Termination reason: Instruction limit
% 16.46/3.17 % (794333)Termination phase: Saturation
% 16.46/3.17 % (794333)Time elapsed: 0.043 s
% 16.46/3.17 % (794333)Peak memory usage: 88 MB
% 16.46/3.17 % (794333)Instructions burned: 117 (million)
% 16.46/3.17 % (794335)lrs+10_1_sil=8000:sp=occurrence:random_seed=1637381684:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 16.46/3.17 % (794336)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2904572641:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 16.46/3.17 % (794339)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3489998737:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.46/3.17 % (794336)Instruction limit reached!
% 16.46/3.17 % (794336)------------------------------
% 16.46/3.17 % (794336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794336)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794336)Termination reason: Instruction limit
% 16.46/3.17 % (794336)Termination phase: Saturation
% 16.46/3.17 % (794336)Time elapsed: 0.276 s
% 16.46/3.17 % (794336)Peak memory usage: 90 MB
% 16.46/3.17 % (794336)Instructions burned: 437 (million)
% 16.46/3.17 % (794342)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2422257521:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 16.46/3.17 % (794335)Instruction limit reached!
% 16.46/3.17 % (794335)------------------------------
% 16.46/3.17 % (794335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794335)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794335)Termination reason: Instruction limit
% 16.46/3.17 % (794335)Termination phase: Saturation
% 16.46/3.17 % (794335)Time elapsed: 0.523 s
% 16.46/3.17 % (794335)Peak memory usage: 94 MB
% 16.46/3.17 % (794335)Instructions burned: 907 (million)
% 16.46/3.17 % (794342)Instruction limit reached!
% 16.46/3.17 % (794342)------------------------------
% 16.46/3.17 % (794342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794342)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794342)Termination reason: Instruction limit
% 16.46/3.17 % (794342)Termination phase: Saturation
% 16.46/3.17 % (794342)Time elapsed: 0.071 s
% 16.46/3.17 % (794342)Peak memory usage: 93 MB
% 16.46/3.17 % (794342)Instructions burned: 135 (million)
% 16.46/3.17 % (794344)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=249291902:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 16.46/3.17 % (794345)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1440220411:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 16.46/3.17 % (794344)Instruction limit reached!
% 16.46/3.17 % (794344)------------------------------
% 16.46/3.17 % (794344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794344)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794344)Termination reason: Instruction limit
% 16.46/3.17 % (794344)Termination phase: Saturation
% 16.46/3.17 % (794344)Time elapsed: 0.354 s
% 16.46/3.17 % (794344)Peak memory usage: 91 MB
% 16.46/3.17 % (794344)Instructions burned: 593 (million)
% 16.46/3.17 % (794305)First to succeed.
% 16.46/3.17 % (794305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-794299"
% 16.46/3.17 % (794348)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=2352705078:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 16.46/3.17 % (794327)Instruction limit reached!
% 16.46/3.17 % (794327)------------------------------
% 16.46/3.17 % (794327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794327)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794327)Termination reason: Instruction limit
% 16.46/3.17 % (794327)Termination phase: Saturation
% 16.46/3.17 % (794327)Time elapsed: 1.499 s
% 16.46/3.17 % (794327)Peak memory usage: 140 MB
% 16.46/3.17 % (794327)Instructions burned: 2350 (million)
% 16.46/3.17 % (794348)Instruction limit reached!
% 16.46/3.17 % (794348)------------------------------
% 16.46/3.17 % (794348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.46/3.17 % (794348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.46/3.17 % (794348)CaDiCaL version: 2.1.3
% 16.46/3.17 % (794348)Termination reason: Instruction limit
% 16.46/3.17 % (794348)Termination phase: Saturation
% 16.46/3.17 % (794348)Time elapsed: 0.098 s
% 16.46/3.17 % (794348)Peak memory usage: 90 MB
% 16.46/3.17 % (794348)Instructions burned: 127 (million)
% 16.46/3.17 % (794305)Refutation found. Thanks to Tanya!
% 16.46/3.17 % SZS status Theorem for theBenchmark
% 16.46/3.17 % SZS output start Proof for theBenchmark
% See solution above
% 16.98/3.37 % (794305)------------------------------
% 16.98/3.37 % (794305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.98/3.37 % (794305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/3.37 % (794305)CaDiCaL version: 2.1.3
% 16.98/3.37 % (794305)Termination reason: Refutation
% 16.98/3.37 % (794305)Time elapsed: 1.904 s
% 16.98/3.37 % (794305)Peak memory usage: 147 MB
% 16.98/3.37 % (794305)Instructions burned: 2901 (million)
% 16.98/3.37 % (794305)------------------------------
% 16.98/3.37 % (794305)------------------------------
% 16.98/3.37 % (794299)Success in time 2.317 s
% 16.98/3.37 % Vampire exiting
%------------------------------------------------------------------------------