%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU237+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:47:56 PM UTC 2026
% Result : Theorem 11.21s 4.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 41
% Syntax : Number of formulae : 353 ( 34 unt; 23 def)
% Number of atoms : 1191 ( 93 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1501 ( 663 ~; 699 |; 78 &)
% ( 39 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 24 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 360 ( 0 sgn 339 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f4,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f11,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f12,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f13,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f14,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f15,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f16,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f17,axiom,
! [X0] :
( being_limit_ordinal(X0)
<=> X0 = union(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_ordinal1) ).
fof(f18,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( subset(X0,X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f26,axiom,
! [X0] :
( ordinal(X0)
=> ( ~ empty(succ(X0))
& epsilon_transitive(succ(X0))
& epsilon_connected(succ(X0))
& ordinal(succ(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_ordinal1) ).
fof(f28,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(union(X0))
& epsilon_connected(union(X0))
& ordinal(union(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_ordinal1) ).
fof(f45,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f48,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f51,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_ordinal1) ).
fof(f52,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f55,conjecture,
! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_ordinal1) ).
fof(f56,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f62,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X2,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f66,plain,
! [X0,X1] :
( ( subset(X0,X1)
& X0 != X1 )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f76,plain,
? [X0] :
( ( being_limit_ordinal(X0)
<~> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f77,plain,
? [X0] :
( ( being_limit_ordinal(X0)
<~> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
& ordinal(X0) ),
inference(flattening,[],[f76]) ).
fof(f84,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f86]) ).
fof(f89,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f90,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f91,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f92,plain,
! [X0] :
( ( ~ empty(succ(X0))
& epsilon_transitive(succ(X0))
& epsilon_connected(succ(X0))
& ordinal(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f95,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f96,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ( epsilon_transitive(union(X0))
& epsilon_connected(union(X0))
& ordinal(union(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f103,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f104,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f66]) ).
fof(f105,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f104]) ).
fof(f109,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f110,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(flattening,[],[f109]) ).
fof(f119,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f120,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X2] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(rectify,[],[f120]) ).
fof(f122,plain,
( ( ( ~ in(succ(sK1),sK0)
& in(sK1,sK0)
& ordinal(sK1) )
| ~ being_limit_ordinal(sK0) )
& ( ! [X2] :
( in(succ(X2),sK0)
| ~ in(X2,sK0)
| ~ ordinal(X2) )
| being_limit_ordinal(sK0) )
& ordinal(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f121]) ).
fof(f123,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,[],[f16]) ).
fof(f124,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,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ( ( ! [X3] :
( ~ in(sK2(X0,X1),X3)
| ~ in(X3,X0) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK2(X0,X1),sK3(X0,X1))
& in(sK3(X0,X1),X0) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ( in(X5,sK4(X0,X5))
& in(sK4(X0,X5),X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f124]) ).
fof(f126,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,[],[f89]) ).
fof(f127,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,[],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f127]) ).
fof(f129,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,[],[f90]) ).
fof(f130,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK6(X0),X0)
& in(sK6(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f133,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK7(X0,X1) != X0
| ~ in(sK7(X0,X1),X1) )
& ( sK7(X0,X1) = X0
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f96]) ).
fof(f139,plain,
! [X0] :
( ( being_limit_ordinal(X0)
| union(X0) != X0 )
& ( X0 = union(X0)
| ~ being_limit_ordinal(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f144,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f145,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f144]) ).
fof(f154,plain,
ordinal(sK0),
inference(cnf_transformation,[],[f122]) ).
fof(f155,plain,
! [X2] :
( in(succ(X2),sK0)
| ~ in(X2,sK0)
| ~ ordinal(X2)
| being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f156,plain,
( ordinal(sK1)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f157,plain,
( in(sK1,sK0)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f158,plain,
( ~ in(succ(sK1),sK0)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f163,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f164,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f166,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f167,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f168,plain,
! [X0,X1,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f169,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X5,X6)
| ~ in(X6,X0)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f170,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| union(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f171,plain,
! [X0,X1] :
( in(sK2(X0,X1),sK3(X0,X1))
| union(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f172,plain,
! [X3,X0,X1] :
( ~ in(sK2(X0,X1),X3)
| union(X0) = X1
| ~ in(X3,X0)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f173,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f174,plain,
! [X0,X1] :
( in(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f175,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f176,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f179,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f134]) ).
fof(f180,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f134]) ).
fof(f183,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f186,plain,
! [X0] :
( epsilon_transitive(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f189,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f191,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f192,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f206,plain,
! [X0] :
( ordinal(union(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f221,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f222,plain,
! [X0] :
( union(X0) = X0
| ~ being_limit_ordinal(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f223,plain,
! [X0] :
( union(X0) != X0
| being_limit_ordinal(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f230,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| proper_subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f238,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f240,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f270,plain,
( ~ in(set_union2(sK1,singleton(sK1)),sK0)
| ~ being_limit_ordinal(sK0) ),
inference(definition_unfolding,[],[f158,f189]) ).
fof(f271,plain,
! [X2] :
( in(set_union2(X2,singleton(X2)),sK0)
| ~ in(X2,sK0)
| ~ ordinal(X2)
| being_limit_ordinal(sK0) ),
inference(definition_unfolding,[],[f155,f189]) ).
fof(f272,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f166,f189]) ).
fof(f274,plain,
! [X0] :
( epsilon_transitive(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f186,f189]) ).
fof(f278,plain,
! [X0,X6,X5] :
( in(X5,union(X0))
| ~ in(X5,X6)
| ~ in(X6,X0) ),
inference(equality_resolution,[],[f169]) ).
fof(f279,plain,
! [X0,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f168]) ).
fof(f280,plain,
! [X0,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f167]) ).
fof(f281,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f180]) ).
fof(f282,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f281]) ).
fof(f283,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f179]) ).
fof(f294,definition,
( spl22_3
<=> being_limit_ordinal(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f295,plain,
( ~ being_limit_ordinal(sK0)
| spl22_3 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( being_limit_ordinal(sK0)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f298,definition,
( spl22_4
<=> ! [X2] :
( in(set_union2(X2,singleton(X2)),sK0)
| ~ ordinal(X2)
| ~ in(X2,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f299,plain,
( ! [X2] :
( in(set_union2(X2,singleton(X2)),sK0)
| ~ ordinal(X2)
| ~ in(X2,sK0) )
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f300,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f271,f298,f294]) ).
fof(f302,definition,
( spl22_5
<=> ordinal(sK1) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f304,plain,
( ordinal(sK1)
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( ~ spl22_3
| spl22_5 ),
inference(avatar_split_clause,[],[f156,f302,f294]) ).
fof(f307,definition,
( spl22_6
<=> in(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f309,plain,
( in(sK1,sK0)
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( ~ spl22_3
| spl22_6 ),
inference(avatar_split_clause,[],[f157,f307,f294]) ).
fof(f312,definition,
( spl22_7
<=> in(set_union2(sK1,singleton(sK1)),sK0) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f314,plain,
( ~ in(set_union2(sK1,singleton(sK1)),sK0)
| spl22_7 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( ~ spl22_3
| ~ spl22_7 ),
inference(avatar_split_clause,[],[f270,f312,f294]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ in(sK5(X0,union(X1)),X2)
| ~ in(X2,X1)
| subset(X0,union(X1)) ),
inference(resolution,[],[f278,f175]) ).
fof(f318,plain,
! [X0,X1] :
( sK4(singleton(X0),X1) = X0
| ~ in(X1,union(singleton(X0))) ),
inference(resolution,[],[f283,f280]) ).
fof(f329,plain,
! [X0,X1] :
( sK5(singleton(X0),X1) = X0
| subset(singleton(X0),X1) ),
inference(resolution,[],[f174,f283]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| ~ in(X2,X0)
| in(X2,X1) ),
inference(resolution,[],[f191,f173]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ordinal_subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1)
| ~ ordinal(set_union2(X0,X2))
| ~ ordinal(X1) ),
inference(resolution,[],[f240,f192]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,set_union2(X0,X2))
| ~ subset(X2,X1)
| ~ subset(X0,X1)
| in(X3,X1) ),
inference(resolution,[],[f240,f173]) ).
fof(f339,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| ~ subset(X0,X1)
| in(X0,X1) ),
inference(resolution,[],[f336,f272]) ).
fof(f340,plain,
! [X2,X3,X0,X1] :
( in(sK4(set_union2(X2,X0),X3),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1)
| ~ in(X3,union(set_union2(X2,X0))) ),
inference(resolution,[],[f336,f280]) ).
fof(f344,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ ordinal_subset(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(resolution,[],[f238,f191]) ).
fof(f348,plain,
! [X0,X1] :
( in(X1,X0)
| ~ in(X1,union(singleton(X0)))
| ~ in(X1,union(singleton(X0))) ),
inference(superposition,[],[f279,f318]) ).
fof(f349,plain,
! [X0,X1] :
( ~ in(X1,union(singleton(X0)))
| in(X1,X0) ),
inference(duplicate_literal_removal,[],[f348]) ).
fof(f352,plain,
! [X0,X1] :
( in(sK4(union(singleton(X0)),X1),X0)
| ~ in(X1,union(union(singleton(X0)))) ),
inference(resolution,[],[f349,f280]) ).
fof(f353,plain,
! [X0,X1] :
( in(sK5(union(singleton(X0)),X1),X0)
| subset(union(singleton(X0)),X1) ),
inference(resolution,[],[f349,f174]) ).
fof(f362,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1))
| subset(X0,union(X1)) ),
inference(resolution,[],[f316,f174]) ).
fof(f366,plain,
! [X2,X0,X1] :
( ~ in(sK4(X0,sK5(X1,union(X2))),X2)
| subset(X1,union(X2))
| ~ in(sK5(X1,union(X2)),union(X0)) ),
inference(resolution,[],[f316,f279]) ).
fof(f368,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f362]) ).
fof(f369,plain,
! [X0,X1] :
( ~ subset(union(X1),X0)
| ~ in(X0,X1)
| union(X1) = X0 ),
inference(resolution,[],[f368,f238]) ).
fof(f376,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ epsilon_transitive(X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(resolution,[],[f176,f192]) ).
fof(f378,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ epsilon_transitive(X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X1) ),
inference(forward_subsumption_resolution,[],[f376,f163]) ).
fof(f379,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(forward_subsumption_resolution,[],[f378,f221]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| ~ in(X2,X0)
| in(X2,X1) ),
inference(resolution,[],[f379,f332]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0)
| ~ in(X2,X0)
| in(X2,X1) ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f382,plain,
! [X2,X0,X1] :
( in(X2,X1)
| ~ ordinal(X1)
| ~ in(X2,X0)
| ~ in(X0,X1) ),
inference(forward_subsumption_resolution,[],[f381,f163]) ).
fof(f383,plain,
! [X2,X0,X1] :
( ~ in(sK5(X1,X0),X2)
| ~ ordinal(X0)
| ~ in(X2,X0)
| subset(X1,X0) ),
inference(resolution,[],[f382,f175]) ).
fof(f385,plain,
! [X2,X0,X1] :
( ~ ordinal(X0)
| ~ in(X1,X2)
| ~ in(X2,X0)
| ordinal(X1)
| ~ ordinal(X0) ),
inference(resolution,[],[f382,f163]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ in(X1,X2)
| ~ ordinal(X0)
| ordinal(X1) ),
inference(duplicate_literal_removal,[],[f385]) ).
fof(f402,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(singleton(X0),X1)
| subset(singleton(X0),X1) ),
inference(superposition,[],[f175,f329]) ).
fof(f405,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f430,plain,
! [X2,X0,X1] :
( proper_subset(set_union2(X0,X1),X2)
| set_union2(X0,X1) = X2
| ~ subset(X0,X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f230,f240]) ).
fof(f473,plain,
! [X2,X0,X1] :
( in(set_union2(X0,X1),X2)
| ~ subset(X0,X2)
| ~ subset(X1,X2)
| set_union2(X0,X1) = X2
| ~ ordinal(X2)
| ~ epsilon_transitive(set_union2(X0,X1)) ),
inference(resolution,[],[f430,f164]) ).
fof(f486,plain,
( ! [X0,X1] :
( ~ in(X0,set_union2(X1,singleton(X1)))
| ~ ordinal(sK0)
| ordinal(X0)
| ~ ordinal(X1)
| ~ in(X1,sK0) )
| ~ spl22_4 ),
inference(resolution,[],[f391,f299]) ).
fof(f492,plain,
( ! [X0,X1] :
( ~ in(X0,set_union2(X1,singleton(X1)))
| ~ ordinal(sK0)
| ordinal(X0)
| ~ in(X1,sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f486,f163]) ).
fof(f493,plain,
( ! [X0,X1] :
( ~ in(X0,set_union2(X1,singleton(X1)))
| ordinal(X0)
| ~ in(X1,sK0) )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f492,f154]) ).
fof(f494,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ordinal(X0) )
| ~ spl22_4 ),
inference(resolution,[],[f493,f272]) ).
fof(f530,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ in(X1,X0)
| subset(X1,X0)
| subset(X1,X0) ),
inference(resolution,[],[f383,f174]) ).
fof(f538,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ in(X1,X0)
| ~ ordinal(X0) ),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f775,definition,
( spl22_19
<=> ordinal(union(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_19])],[avatar_definition]) ).
fof(f776,plain,
( ordinal(union(sK0))
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f777,plain,
( ~ ordinal(union(sK0))
| spl22_19 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f810,definition,
( spl22_20
<=> epsilon_transitive(set_union2(sK1,singleton(sK1))) ),
introduced(definition,[new_symbols(definition,[spl22_20])],[avatar_definition]) ).
fof(f811,plain,
( ~ epsilon_transitive(set_union2(sK1,singleton(sK1)))
| spl22_20 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f812,plain,
( epsilon_transitive(set_union2(sK1,singleton(sK1)))
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f1118,plain,
( ~ ordinal(sK1)
| spl22_20 ),
inference(resolution,[],[f811,f274]) ).
fof(f1122,plain,
( $false
| ~ spl22_5
| spl22_20 ),
inference(forward_subsumption_resolution,[],[f1118,f304]) ).
fof(f1123,plain,
( ~ spl22_5
| spl22_20 ),
inference(avatar_contradiction_clause,[],[f1122]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ in(set_union2(sK2(X0,X1),singleton(sK2(X0,X1))),X0)
| union(X0) = X1
| ~ in(sK2(X0,X1),X1) ),
inference(resolution,[],[f172,f272]) ).
fof(f1144,plain,
( ! [X0] :
( union(sK0) = X0
| ~ in(sK2(sK0,X0),X0)
| ~ ordinal(sK2(sK0,X0))
| ~ in(sK2(sK0,X0),sK0) )
| ~ spl22_4 ),
inference(resolution,[],[f1139,f299]) ).
fof(f1149,plain,
( ! [X0] :
( ~ in(sK2(sK0,X0),sK0)
| ~ in(sK2(sK0,X0),X0)
| union(sK0) = X0 )
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f1144,f494]) ).
fof(f1153,plain,
( ~ in(sK2(sK0,sK0),sK0)
| sK0 = union(sK0)
| ~ spl22_4 ),
inference(factoring,[],[f1149]) ).
fof(f1155,definition,
( spl22_31
<=> sK0 = union(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_31])],[avatar_definition]) ).
fof(f1156,plain,
( sK0 != union(sK0)
| spl22_31 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1157,plain,
( sK0 = union(sK0)
| ~ spl22_31 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1159,definition,
( spl22_32
<=> in(sK2(sK0,sK0),sK0) ),
introduced(definition,[new_symbols(definition,[spl22_32])],[avatar_definition]) ).
fof(f1161,plain,
( ~ in(sK2(sK0,sK0),sK0)
| spl22_32 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1162,plain,
( spl22_31
| ~ spl22_32
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f1153,f298,f1159,f1155]) ).
fof(f1200,plain,
( ! [X0] :
( ~ ordinal(sK0)
| ~ in(set_union2(sK1,singleton(sK1)),X0)
| ~ in(X0,sK0) )
| spl22_7 ),
inference(resolution,[],[f314,f382]) ).
fof(f1201,plain,
( ! [X0] :
( ~ in(set_union2(sK1,singleton(sK1)),X0)
| ~ in(X0,sK0) )
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f1200,f154]) ).
fof(f1215,plain,
( ! [X0] :
( ~ in(sK4(X0,set_union2(sK1,singleton(sK1))),sK0)
| ~ in(set_union2(sK1,singleton(sK1)),union(X0)) )
| spl22_7 ),
inference(resolution,[],[f1201,f279]) ).
fof(f1216,plain,
( ~ in(set_union2(sK1,singleton(sK1)),union(sK0))
| ~ in(set_union2(sK1,singleton(sK1)),union(sK0))
| spl22_7 ),
inference(resolution,[],[f1215,f280]) ).
fof(f1222,plain,
( ~ in(set_union2(sK1,singleton(sK1)),union(sK0))
| spl22_7 ),
inference(duplicate_literal_removal,[],[f1216]) ).
fof(f1389,plain,
( ~ subset(sK1,sK0)
| ~ subset(singleton(sK1),sK0)
| sK0 = set_union2(sK1,singleton(sK1))
| ~ ordinal(sK0)
| ~ epsilon_transitive(set_union2(sK1,singleton(sK1)))
| spl22_7 ),
inference(resolution,[],[f473,f314]) ).
fof(f1391,plain,
( ~ subset(sK1,union(sK0))
| ~ subset(singleton(sK1),union(sK0))
| set_union2(sK1,singleton(sK1)) = union(sK0)
| ~ ordinal(union(sK0))
| ~ epsilon_transitive(set_union2(sK1,singleton(sK1)))
| spl22_7 ),
inference(resolution,[],[f473,f1222]) ).
fof(f1423,plain,
( ~ subset(sK1,union(sK0))
| ~ subset(singleton(sK1),union(sK0))
| set_union2(sK1,singleton(sK1)) = union(sK0)
| ~ ordinal(union(sK0))
| spl22_7
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f1391,f812]) ).
fof(f1425,plain,
( ~ subset(sK1,sK0)
| ~ subset(singleton(sK1),sK0)
| sK0 = set_union2(sK1,singleton(sK1))
| ~ epsilon_transitive(set_union2(sK1,singleton(sK1)))
| spl22_7 ),
inference(forward_subsumption_resolution,[],[f1389,f154]) ).
fof(f1429,definition,
( spl22_41
<=> set_union2(sK1,singleton(sK1)) = union(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_41])],[avatar_definition]) ).
fof(f1431,plain,
( set_union2(sK1,singleton(sK1)) = union(sK0)
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1433,definition,
( spl22_42
<=> subset(singleton(sK1),union(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_42])],[avatar_definition]) ).
fof(f1434,plain,
( subset(singleton(sK1),union(sK0))
| ~ spl22_42 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1435,plain,
( ~ subset(singleton(sK1),union(sK0))
| spl22_42 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1437,definition,
( spl22_43
<=> subset(sK1,union(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_43])],[avatar_definition]) ).
fof(f1438,plain,
( subset(sK1,union(sK0))
| ~ spl22_43 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1439,plain,
( ~ subset(sK1,union(sK0))
| spl22_43 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1440,plain,
( ~ spl22_19
| spl22_41
| ~ spl22_42
| ~ spl22_43
| spl22_7
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f1423,f810,f312,f1437,f1433,f1429,f775]) ).
fof(f1454,definition,
( spl22_47
<=> subset(set_union2(sK1,singleton(sK1)),sK0) ),
introduced(definition,[new_symbols(definition,[spl22_47])],[avatar_definition]) ).
fof(f1455,plain,
( subset(set_union2(sK1,singleton(sK1)),sK0)
| ~ spl22_47 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1456,plain,
( ~ subset(set_union2(sK1,singleton(sK1)),sK0)
| spl22_47 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1458,plain,
( ~ subset(sK1,sK0)
| ~ subset(singleton(sK1),sK0)
| sK0 = set_union2(sK1,singleton(sK1))
| spl22_7
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f1425,f812]) ).
fof(f1460,definition,
( spl22_48
<=> sK0 = set_union2(sK1,singleton(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_48])],[avatar_definition]) ).
fof(f1462,plain,
( sK0 = set_union2(sK1,singleton(sK1))
| ~ spl22_48 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1464,definition,
( spl22_49
<=> subset(singleton(sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl22_49])],[avatar_definition]) ).
fof(f1465,plain,
( subset(singleton(sK1),sK0)
| ~ spl22_49 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1466,plain,
( ~ subset(singleton(sK1),sK0)
| spl22_49 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1468,definition,
( spl22_50
<=> subset(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl22_50])],[avatar_definition]) ).
fof(f1469,plain,
( subset(sK1,sK0)
| ~ spl22_50 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1470,plain,
( ~ subset(sK1,sK0)
| spl22_50 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1471,plain,
( spl22_48
| ~ spl22_49
| ~ spl22_50
| spl22_7
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f1458,f810,f312,f1468,f1464,f1460]) ).
fof(f1472,plain,
( ~ in(sK1,sK0)
| ~ ordinal(sK0)
| spl22_50 ),
inference(resolution,[],[f1470,f538]) ).
fof(f1477,plain,
( ~ ordinal(sK0)
| ~ spl22_6
| spl22_50 ),
inference(forward_subsumption_resolution,[],[f1472,f309]) ).
fof(f1481,plain,
( $false
| ~ spl22_6
| spl22_50 ),
inference(forward_subsumption_resolution,[],[f1477,f154]) ).
fof(f1482,plain,
( ~ spl22_6
| spl22_50 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1526,plain,
( sK0 != sK0
| being_limit_ordinal(sK0)
| ~ spl22_31 ),
inference(superposition,[],[f223,f1157]) ).
fof(f1540,plain,
( being_limit_ordinal(sK0)
| ~ spl22_31 ),
inference(trivial_inequality_removal,[],[f1526]) ).
fof(f1541,plain,
( $false
| spl22_3
| ~ spl22_31 ),
inference(forward_subsumption_resolution,[],[f1540,f295]) ).
fof(f1542,plain,
( spl22_3
| ~ spl22_31 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
fof(f1561,plain,
( sK0 != sK0
| ~ being_limit_ordinal(sK0)
| spl22_31 ),
inference(superposition,[],[f1156,f222]) ).
fof(f1562,plain,
( ~ being_limit_ordinal(sK0)
| spl22_31 ),
inference(trivial_inequality_removal,[],[f1561]) ).
fof(f1576,plain,
( ~ ordinal(sK0)
| spl22_19 ),
inference(resolution,[],[f777,f206]) ).
fof(f1578,plain,
( $false
| spl22_19 ),
inference(forward_subsumption_resolution,[],[f1576,f154]) ).
fof(f1579,plain,
spl22_19,
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1580,plain,
( ~ in(sK1,union(sK0))
| spl22_42 ),
inference(resolution,[],[f1435,f405]) ).
fof(f1611,plain,
( ~ in(sK1,sK0)
| ~ being_limit_ordinal(sK0)
| spl22_42 ),
inference(superposition,[],[f1580,f222]) ).
fof(f1684,plain,
( ~ in(sK1,sK0)
| spl22_49 ),
inference(resolution,[],[f1466,f405]) ).
fof(f1709,plain,
( ~ subset(sK1,sK0)
| ~ subset(singleton(sK1),sK0)
| spl22_47 ),
inference(resolution,[],[f1456,f240]) ).
fof(f1936,plain,
! [X0] :
( subset(union(singleton(X0)),X0)
| subset(union(singleton(X0)),X0) ),
inference(resolution,[],[f353,f175]) ).
fof(f1962,plain,
! [X0] : subset(union(singleton(X0)),X0),
inference(duplicate_literal_removal,[],[f1936]) ).
fof(f2062,plain,
( ~ being_limit_ordinal(sK0)
| ~ spl22_6
| spl22_42 ),
inference(forward_subsumption_resolution,[],[f1611,f309]) ).
fof(f2066,plain,
( $false
| ~ spl22_6
| spl22_49 ),
inference(forward_subsumption_resolution,[],[f1684,f309]) ).
fof(f2067,plain,
( ~ spl22_6
| spl22_49 ),
inference(avatar_contradiction_clause,[],[f2066]) ).
fof(f2075,plain,
( $false
| ~ spl22_3
| spl22_31 ),
inference(forward_subsumption_resolution,[],[f1562,f296]) ).
fof(f2076,plain,
( ~ spl22_3
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2075]) ).
fof(f2080,plain,
( $false
| ~ spl22_3
| ~ spl22_6
| spl22_42 ),
inference(forward_subsumption_resolution,[],[f2062,f296]) ).
fof(f2081,plain,
( ~ spl22_3
| ~ spl22_6
| spl22_42 ),
inference(avatar_contradiction_clause,[],[f2080]) ).
fof(f2105,plain,
( ~ subset(singleton(sK1),sK0)
| spl22_47
| ~ spl22_50 ),
inference(forward_subsumption_resolution,[],[f1709,f1469]) ).
fof(f2138,plain,
( ! [X0] :
( ~ ordinal(sK0)
| ~ in(sK2(sK0,sK0),X0)
| ~ in(X0,sK0) )
| spl22_32 ),
inference(resolution,[],[f1161,f382]) ).
fof(f2139,plain,
( ! [X0] :
( ~ in(sK2(sK0,sK0),X0)
| ~ in(X0,sK0) )
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f2138,f154]) ).
fof(f2641,plain,
( ! [X0] :
( ~ in(X0,set_union2(sK1,singleton(sK1)))
| in(X0,sK0) )
| ~ spl22_47 ),
inference(resolution,[],[f1455,f173]) ).
fof(f2802,plain,
( ~ subset(sK1,union(sK0))
| in(sK1,union(sK0))
| ~ spl22_42 ),
inference(resolution,[],[f1434,f339]) ).
fof(f2824,definition,
( spl22_88
<=> in(sK1,union(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_88])],[avatar_definition]) ).
fof(f2826,plain,
( in(sK1,union(sK0))
| ~ spl22_88 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f2827,plain,
( spl22_88
| ~ spl22_43
| ~ spl22_42 ),
inference(avatar_split_clause,[],[f2802,f1433,f1437,f2824]) ).
fof(f2918,plain,
( ~ in(sK1,sK0)
| spl22_43 ),
inference(resolution,[],[f1439,f368]) ).
fof(f2927,plain,
( $false
| ~ spl22_6
| spl22_43 ),
inference(forward_subsumption_resolution,[],[f2918,f309]) ).
fof(f2928,plain,
( ~ spl22_6
| spl22_43 ),
inference(avatar_contradiction_clause,[],[f2927]) ).
fof(f5193,plain,
! [X0] : ~ in(X0,X0),
inference(factoring,[],[f183]) ).
fof(f6306,plain,
( ! [X0] :
( ~ in(X0,union(sK0))
| in(X0,sK0) )
| ~ spl22_41
| ~ spl22_47 ),
inference(superposition,[],[f2641,f1431]) ).
fof(f7661,plain,
( sK0 = union(sK0)
| in(sK2(sK0,sK0),sK0)
| ~ in(sK3(sK0,sK0),sK0)
| spl22_32 ),
inference(resolution,[],[f171,f2139]) ).
fof(f7692,plain,
( sK0 = union(sK0)
| in(sK2(sK0,sK0),sK0)
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f7661,f170]) ).
fof(f7716,plain,
( in(sK2(sK0,sK0),sK0)
| spl22_31
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f7692,f1156]) ).
fof(f7722,plain,
( $false
| spl22_31
| spl22_32 ),
inference(forward_subsumption_resolution,[],[f7716,f1161]) ).
fof(f7723,plain,
( spl22_31
| spl22_32 ),
inference(avatar_contradiction_clause,[],[f7722]) ).
fof(f7878,plain,
( ! [X0,X1] :
( ~ in(sK4(X0,sK5(X1,sK0)),sK0)
| subset(X1,sK0)
| ~ in(sK5(X1,sK0),union(X0)) )
| ~ spl22_31 ),
inference(superposition,[],[f366,f1157]) ).
fof(f7924,plain,
( ! [X0] :
( ordinal_subset(sK0,X0)
| ~ subset(singleton(sK1),X0)
| ~ subset(sK1,X0)
| ~ ordinal(sK0)
| ~ ordinal(X0) )
| ~ spl22_48 ),
inference(superposition,[],[f335,f1462]) ).
fof(f7926,plain,
( ! [X0,X1] :
( in(sK4(sK0,X0),X1)
| ~ subset(sK1,X1)
| ~ subset(singleton(sK1),X1)
| ~ in(X0,union(sK0)) )
| ~ spl22_48 ),
inference(superposition,[],[f340,f1462]) ).
fof(f7942,plain,
( ! [X0,X1] :
( in(sK4(sK0,X0),X1)
| ~ in(X0,sK0)
| ~ subset(sK1,X1)
| ~ subset(singleton(sK1),X1) )
| ~ spl22_31
| ~ spl22_48 ),
inference(forward_demodulation,[],[f7926,f1157]) ).
fof(f7943,plain,
( ! [X0] :
( ~ subset(singleton(sK1),X0)
| ordinal_subset(sK0,X0)
| ~ subset(sK1,X0)
| ~ ordinal(X0) )
| ~ spl22_48 ),
inference(forward_subsumption_resolution,[],[f7924,f154]) ).
fof(f8128,plain,
( ! [X0] :
( subset(X0,sK0)
| ~ in(sK5(X0,sK0),union(union(singleton(sK0))))
| ~ in(sK5(X0,sK0),union(union(singleton(sK0)))) )
| ~ spl22_31 ),
inference(resolution,[],[f7878,f352]) ).
fof(f8142,plain,
( ! [X0] :
( ~ in(sK5(X0,sK0),union(union(singleton(sK0))))
| subset(X0,sK0) )
| ~ spl22_31 ),
inference(duplicate_literal_removal,[],[f8128]) ).
fof(f8148,plain,
( ! [X0,X1] :
( ~ in(sK5(X0,sK0),X1)
| subset(X0,sK0)
| ~ in(X1,union(singleton(sK0))) )
| ~ spl22_31 ),
inference(resolution,[],[f8142,f278]) ).
fof(f8170,plain,
( ! [X0] :
( subset(X0,sK0)
| ~ in(X0,union(singleton(sK0)))
| subset(X0,sK0) )
| ~ spl22_31 ),
inference(resolution,[],[f8148,f174]) ).
fof(f8189,plain,
( ! [X0] :
( ~ in(X0,union(singleton(sK0)))
| subset(X0,sK0) )
| ~ spl22_31 ),
inference(duplicate_literal_removal,[],[f8170]) ).
fof(f8314,plain,
( ! [X0] :
( ordinal_subset(sK0,X0)
| ~ subset(sK1,X0)
| ~ ordinal(X0)
| ~ in(sK1,X0) )
| ~ spl22_48 ),
inference(resolution,[],[f7943,f405]) ).
fof(f8328,plain,
( ! [X0] :
( ordinal_subset(sK0,X0)
| ~ ordinal(X0)
| ~ in(sK1,X0) )
| ~ spl22_48 ),
inference(forward_subsumption_resolution,[],[f8314,f538]) ).
fof(f8558,definition,
( spl22_290
<=> ! [X1] :
( ~ in(X1,sK0)
| ordinal(X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_290])],[avatar_definition]) ).
fof(f8559,plain,
( ! [X1] :
( ~ in(X1,sK0)
| ordinal(X1) )
| ~ spl22_290 ),
inference(avatar_component_clause,[],[f8558]) ).
fof(f8593,plain,
( ! [X0] :
( ordinal(sK4(sK0,X0))
| ~ in(X0,union(sK0)) )
| ~ spl22_290 ),
inference(resolution,[],[f8559,f280]) ).
fof(f8603,plain,
( ! [X0] :
( ordinal(sK4(sK0,X0))
| ~ in(X0,sK0) )
| ~ spl22_31
| ~ spl22_290 ),
inference(forward_demodulation,[],[f8593,f1157]) ).
fof(f9745,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK0)
| ~ subset(sK1,X1)
| ~ subset(singleton(sK1),X1)
| ~ in(X2,sK4(sK0,X0))
| ~ ordinal(X1)
| ordinal(X2) )
| ~ spl22_31
| ~ spl22_48 ),
inference(resolution,[],[f7942,f391]) ).
fof(f9770,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ subset(sK1,union(singleton(sK0)))
| ~ subset(singleton(sK1),union(singleton(sK0)))
| subset(sK4(sK0,X0),sK0) )
| ~ spl22_31
| ~ spl22_48 ),
inference(resolution,[],[f7942,f8189]) ).
fof(f9804,definition,
( spl22_347
<=> ! [X0,X1] :
( ~ in(X0,sK0)
| ordinal(X1)
| ~ in(X1,sK4(sK0,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_347])],[avatar_definition]) ).
fof(f9805,plain,
( ! [X0,X1] :
( ~ in(X1,sK4(sK0,X0))
| ordinal(X1)
| ~ in(X0,sK0) )
| ~ spl22_347 ),
inference(avatar_component_clause,[],[f9804]) ).
fof(f9818,definition,
( spl22_350
<=> subset(singleton(sK1),union(singleton(sK0))) ),
introduced(definition,[new_symbols(definition,[spl22_350])],[avatar_definition]) ).
fof(f9820,plain,
( ~ subset(singleton(sK1),union(singleton(sK0)))
| spl22_350 ),
inference(avatar_component_clause,[],[f9818]) ).
fof(f9822,definition,
( spl22_351
<=> subset(sK1,union(singleton(sK0))) ),
introduced(definition,[new_symbols(definition,[spl22_351])],[avatar_definition]) ).
fof(f9824,plain,
( ~ subset(sK1,union(singleton(sK0)))
| spl22_351 ),
inference(avatar_component_clause,[],[f9822]) ).
fof(f9826,definition,
( spl22_352
<=> ! [X0] :
( ~ in(X0,sK0)
| subset(sK4(sK0,X0),sK0) ) ),
introduced(definition,[new_symbols(definition,[spl22_352])],[avatar_definition]) ).
fof(f9827,plain,
( ! [X0] :
( subset(sK4(sK0,X0),sK0)
| ~ in(X0,sK0) )
| ~ spl22_352 ),
inference(avatar_component_clause,[],[f9826]) ).
fof(f9828,plain,
( ~ spl22_350
| ~ spl22_351
| spl22_352
| ~ spl22_31
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f9770,f1460,f1155,f9826,f9822,f9818]) ).
fof(f9840,definition,
( spl22_355
<=> ! [X1] :
( ~ subset(sK1,X1)
| ~ ordinal(X1)
| ~ subset(singleton(sK1),X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_355])],[avatar_definition]) ).
fof(f9841,plain,
( ! [X1] :
( ~ subset(singleton(sK1),X1)
| ~ ordinal(X1)
| ~ subset(sK1,X1) )
| ~ spl22_355 ),
inference(avatar_component_clause,[],[f9840]) ).
fof(f9842,plain,
( spl22_355
| spl22_347
| ~ spl22_31
| ~ spl22_48 ),
inference(avatar_split_clause,[],[f9745,f1460,f1155,f9804,f9840]) ).
fof(f9953,plain,
( ! [X0] :
( ordinal(X0)
| ~ in(X0,sK0)
| ~ in(X0,union(sK0)) )
| ~ spl22_347 ),
inference(resolution,[],[f9805,f279]) ).
fof(f10028,plain,
( ~ ordinal(union(sK0))
| ~ subset(sK1,union(sK0))
| ~ spl22_42
| ~ spl22_355 ),
inference(resolution,[],[f9841,f1434]) ).
fof(f10040,plain,
( ~ subset(sK1,union(sK0))
| ~ spl22_19
| ~ spl22_42
| ~ spl22_355 ),
inference(forward_subsumption_resolution,[],[f10028,f776]) ).
fof(f10043,plain,
( $false
| ~ spl22_19
| ~ spl22_42
| ~ spl22_43
| ~ spl22_355 ),
inference(forward_subsumption_resolution,[],[f10040,f1438]) ).
fof(f10044,plain,
( ~ spl22_19
| ~ spl22_42
| ~ spl22_43
| ~ spl22_355 ),
inference(avatar_contradiction_clause,[],[f10043]) ).
fof(f16819,plain,
! [X0] :
( ~ in(X0,singleton(X0))
| union(singleton(X0)) = X0 ),
inference(resolution,[],[f369,f1962]) ).
fof(f16845,plain,
! [X0] : union(singleton(X0)) = X0,
inference(forward_subsumption_resolution,[],[f16819,f282]) ).
fof(f16910,plain,
( ~ subset(sK1,sK0)
| spl22_351 ),
inference(superposition,[],[f9824,f16845]) ).
fof(f17028,plain,
( $false
| ~ spl22_50
| spl22_351 ),
inference(forward_subsumption_resolution,[],[f16910,f1469]) ).
fof(f17029,plain,
( ~ spl22_50
| spl22_351 ),
inference(avatar_contradiction_clause,[],[f17028]) ).
fof(f17050,plain,
( ~ subset(singleton(sK1),sK0)
| spl22_350 ),
inference(forward_demodulation,[],[f9820,f16845]) ).
fof(f17076,plain,
( $false
| ~ spl22_49
| spl22_350 ),
inference(forward_subsumption_resolution,[],[f17050,f1465]) ).
fof(f17077,plain,
( ~ spl22_49
| spl22_350 ),
inference(avatar_contradiction_clause,[],[f17076]) ).
fof(f17125,plain,
( ! [X0] :
( ~ in(X0,sK0)
| sK0 = sK4(sK0,X0)
| ~ ordinal_subset(sK0,sK4(sK0,X0))
| ~ ordinal(sK0)
| ~ ordinal(sK4(sK0,X0)) )
| ~ spl22_352 ),
inference(resolution,[],[f9827,f344]) ).
fof(f17129,plain,
( ! [X0] :
( ~ in(X0,sK0)
| sK0 = sK4(sK0,X0)
| ~ ordinal_subset(sK0,sK4(sK0,X0))
| ~ ordinal(sK0) )
| ~ spl22_31
| ~ spl22_290
| ~ spl22_352 ),
inference(forward_subsumption_resolution,[],[f17125,f8603]) ).
fof(f17131,plain,
( ! [X0] :
( ~ ordinal_subset(sK0,sK4(sK0,X0))
| sK0 = sK4(sK0,X0)
| ~ in(X0,sK0) )
| ~ spl22_31
| ~ spl22_290
| ~ spl22_352 ),
inference(forward_subsumption_resolution,[],[f17129,f154]) ).
fof(f17140,plain,
( ! [X0] :
( sK0 = sK4(sK0,X0)
| ~ in(X0,sK0)
| ~ ordinal(sK4(sK0,X0))
| ~ in(sK1,sK4(sK0,X0)) )
| ~ spl22_31
| ~ spl22_48
| ~ spl22_290
| ~ spl22_352 ),
inference(resolution,[],[f17131,f8328]) ).
fof(f17146,plain,
( ! [X0] :
( ~ in(sK1,sK4(sK0,X0))
| ~ in(X0,sK0)
| sK0 = sK4(sK0,X0) )
| ~ spl22_31
| ~ spl22_48
| ~ spl22_290
| ~ spl22_352 ),
inference(forward_subsumption_resolution,[],[f17140,f8603]) ).
fof(f17651,plain,
( ~ in(sK1,sK0)
| sK0 = sK4(sK0,sK1)
| ~ in(sK1,union(sK0))
| ~ spl22_31
| ~ spl22_48
| ~ spl22_290
| ~ spl22_352 ),
inference(resolution,[],[f17146,f279]) ).
fof(f17657,plain,
( sK0 = sK4(sK0,sK1)
| ~ in(sK1,union(sK0))
| ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_48
| ~ spl22_290
| ~ spl22_352 ),
inference(forward_subsumption_resolution,[],[f17651,f6306]) ).
fof(f17658,plain,
( sK0 = sK4(sK0,sK1)
| ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_48
| ~ spl22_88
| ~ spl22_290
| ~ spl22_352 ),
inference(forward_subsumption_resolution,[],[f17657,f2826]) ).
fof(f17667,plain,
( in(sK0,sK0)
| ~ in(sK1,union(sK0))
| ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_48
| ~ spl22_88
| ~ spl22_290
| ~ spl22_352 ),
inference(superposition,[],[f280,f17658]) ).
fof(f17674,plain,
( ~ in(sK1,union(sK0))
| ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_48
| ~ spl22_88
| ~ spl22_290
| ~ spl22_352 ),
inference(forward_subsumption_resolution,[],[f17667,f5193]) ).
fof(f17678,plain,
( $false
| ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_48
| ~ spl22_88
| ~ spl22_290
| ~ spl22_352 ),
inference(forward_subsumption_resolution,[],[f17674,f2826]) ).
fof(f17679,plain,
( ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_48
| ~ spl22_88
| ~ spl22_290
| ~ spl22_352 ),
inference(avatar_contradiction_clause,[],[f17678]) ).
fof(f17704,plain,
( ! [X0] :
( ordinal(X0)
| ~ in(X0,union(sK0)) )
| ~ spl22_41
| ~ spl22_47
| ~ spl22_347 ),
inference(forward_subsumption_resolution,[],[f9953,f6306]) ).
fof(f17711,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ordinal(X0) )
| ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_347 ),
inference(forward_demodulation,[],[f17704,f1157]) ).
fof(f17713,plain,
( spl22_290
| ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_347 ),
inference(avatar_split_clause,[],[f17711,f9804,f1454,f1429,f1155,f8558]) ).
fof(f17719,plain,
( $false
| spl22_47
| ~ spl22_49
| ~ spl22_50 ),
inference(forward_subsumption_resolution,[],[f2105,f1465]) ).
fof(f17720,plain,
( spl22_47
| ~ spl22_49
| ~ spl22_50 ),
inference(avatar_contradiction_clause,[],[f17719]) ).
cnf(s2,plain,
( spl22_3
| spl22_4 ),
inference(sat_conversion,[],[f300]) ).
cnf(s3,plain,
( ~ spl22_3
| spl22_5 ),
inference(sat_conversion,[],[f305]) ).
cnf(s4,plain,
( ~ spl22_3
| spl22_6 ),
inference(sat_conversion,[],[f310]) ).
cnf(s5,plain,
( ~ spl22_3
| ~ spl22_7 ),
inference(sat_conversion,[],[f315]) ).
cnf(s50,plain,
( ~ spl22_5
| spl22_20 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s51,plain,
( ~ spl22_4
| spl22_31
| ~ spl22_32 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s63,plain,
( spl22_7
| ~ spl22_19
| ~ spl22_20
| spl22_41
| ~ spl22_42
| ~ spl22_43 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s65,plain,
( spl22_7
| ~ spl22_20
| spl22_48
| ~ spl22_49
| ~ spl22_50 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s67,plain,
( ~ spl22_6
| spl22_50 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s73,plain,
( spl22_3
| ~ spl22_31 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s75,plain,
spl22_19,
inference(sat_conversion,[],[f1579]) ).
cnf(s88,plain,
( ~ spl22_6
| spl22_49 ),
inference(sat_conversion,[],[f2067]) ).
cnf(s91,plain,
( ~ spl22_3
| spl22_31 ),
inference(sat_conversion,[],[f2076]) ).
cnf(s92,plain,
( ~ spl22_3
| ~ spl22_6
| spl22_42 ),
inference(sat_conversion,[],[f2081]) ).
cnf(s122,plain,
( ~ spl22_42
| ~ spl22_43
| spl22_88 ),
inference(sat_conversion,[],[f2827]) ).
cnf(s132,plain,
( ~ spl22_6
| spl22_43 ),
inference(sat_conversion,[],[f2928]) ).
cnf(s320,plain,
( spl22_31
| spl22_32 ),
inference(sat_conversion,[],[f7723]) ).
cnf(s384,plain,
( ~ spl22_31
| ~ spl22_48
| ~ spl22_350
| ~ spl22_351
| spl22_352 ),
inference(sat_conversion,[],[f9828]) ).
cnf(s387,plain,
( ~ spl22_31
| ~ spl22_48
| spl22_347
| spl22_355 ),
inference(sat_conversion,[],[f9842]) ).
cnf(s398,plain,
( ~ spl22_19
| ~ spl22_42
| ~ spl22_43
| ~ spl22_355 ),
inference(sat_conversion,[],[f10044]) ).
cnf(s516,plain,
( ~ spl22_50
| spl22_351 ),
inference(sat_conversion,[],[f17029]) ).
cnf(s520,plain,
( ~ spl22_49
| spl22_350 ),
inference(sat_conversion,[],[f17077]) ).
cnf(s522,plain,
( ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| ~ spl22_48
| ~ spl22_88
| ~ spl22_290
| ~ spl22_352 ),
inference(sat_conversion,[],[f17679]) ).
cnf(s531,plain,
( ~ spl22_31
| ~ spl22_41
| ~ spl22_47
| spl22_290
| ~ spl22_347 ),
inference(sat_conversion,[],[f17713]) ).
cnf(s532,plain,
( spl22_47
| ~ spl22_49
| ~ spl22_50 ),
inference(sat_conversion,[],[f17720]) ).
cnf(s539,plain,
( spl22_7
| ~ spl22_20
| spl22_41
| ~ spl22_42
| ~ spl22_43 ),
inference(rat,[],[s63,s75]) ).
cnf(s547,plain,
spl22_3,
inference(rat,[],[s51,s320,s2,s73]) ).
cnf(s550,plain,
spl22_31,
inference(rat,[],[s91,s547]) ).
cnf(s552,plain,
~ spl22_7,
inference(rat,[],[s5,s547]) ).
cnf(s553,plain,
spl22_6,
inference(rat,[],[s4,s547]) ).
cnf(s554,plain,
spl22_5,
inference(rat,[],[s3,s547]) ).
cnf(s560,plain,
spl22_43,
inference(rat,[],[s132,s553]) ).
cnf(s562,plain,
spl22_42,
inference(rat,[],[s92,s547,s553]) ).
cnf(s563,plain,
spl22_49,
inference(rat,[],[s88,s553]) ).
cnf(s565,plain,
spl22_50,
inference(rat,[],[s67,s553]) ).
cnf(s569,plain,
spl22_20,
inference(rat,[],[s50,s554]) ).
cnf(s576,plain,
~ spl22_355,
inference(rat,[],[s398,s560,s75,s562]) ).
cnf(s578,plain,
spl22_88,
inference(rat,[],[s122,s560,s562]) ).
cnf(s579,plain,
spl22_47,
inference(rat,[],[s532,s565,s563]) ).
cnf(s580,plain,
spl22_350,
inference(rat,[],[s520,s563]) ).
cnf(s581,plain,
spl22_351,
inference(rat,[],[s516,s565]) ).
cnf(s589,plain,
spl22_48,
inference(rat,[],[s65,s565,s563,s552,s569]) ).
cnf(s590,plain,
spl22_41,
inference(rat,[],[s539,s560,s552,s562,s569]) ).
cnf(s602,plain,
spl22_347,
inference(rat,[],[s387,s576,s550,s589]) ).
cnf(s605,plain,
spl22_352,
inference(rat,[],[s384,s580,s581,s550,s589]) ).
cnf(s607,plain,
spl22_290,
inference(rat,[],[s531,s602,s579,s550,s590]) ).
cnf(s608,plain,
$false,
inference(rat,[],[s522,s607,s579,s578,s589,s550,s605,s590]) ).
fof(f17770,plain,
$false,
inference(avatar_sat_refutation,[],[s608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU237+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:19:01 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.77/2.61 % (2251884)Detected formulas, will run a generic FOF schedule.
% 11.77/2.61 % (2251952)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=658964184:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.77/2.61 % (2251957)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=379721079:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.77/2.61 % (2251959)dis-21_1_sil=8000:lcm=predicate:random_seed=354488172: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)
% 11.77/2.61 % (2251956)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=521896256:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.77/2.61 % (2251950)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=2015995200:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.77/2.61 % (2251954)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=833433258:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.77/2.61 % (2251953)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=927300955:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.77/2.61 % (2251954)Refutation not found, incomplete strategy
% 11.77/2.61 % (2251954)------------------------------
% 11.77/2.61 % (2251954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.61 % (2251954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.61 % (2251954)CaDiCaL version: 2.1.3
% 11.77/2.61 % (2251954)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.61 % (2251954)Time elapsed: 0.002 s
% 11.77/2.61 % (2251954)Peak memory usage: 88 MB
% 11.77/2.61 % (2251954)Instructions burned: 1 (million)
% 11.77/2.61 % (2251957)Instruction limit reached!
% 11.77/2.61 % (2251957)------------------------------
% 11.77/2.61 % (2251957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.61 % (2251957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.61 % (2251957)CaDiCaL version: 2.1.3
% 11.77/2.61 % (2251957)Termination reason: Instruction limit
% 11.77/2.61 % (2251957)Termination phase: Saturation
% 11.77/2.61 % (2251957)Time elapsed: 0.049 s
% 11.77/2.61 % (2251957)Peak memory usage: 90 MB
% 11.77/2.61 % (2251957)Instructions burned: 141 (million)
% 11.77/2.61 % (2251959)Instruction limit reached!
% 11.77/2.61 % (2251959)------------------------------
% 11.77/2.61 % (2251959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.61 % (2251959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.61 % (2251959)CaDiCaL version: 2.1.3
% 11.77/2.61 % (2251959)Termination reason: Instruction limit
% 11.77/2.61 % (2251959)Termination phase: Saturation
% 11.77/2.61 % (2251959)Time elapsed: 0.063 s
% 11.77/2.61 % (2251959)Peak memory usage: 90 MB
% 11.77/2.61 % (2251959)Instructions burned: 130 (million)
% 11.77/2.61 % (2251956)Instruction limit reached!
% 11.77/2.61 % (2251956)------------------------------
% 11.77/2.61 % (2251956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.61 % (2251956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.61 % (2251956)CaDiCaL version: 2.1.3
% 11.77/2.61 % (2251956)Termination reason: Instruction limit
% 11.77/2.61 % (2251956)Termination phase: Saturation
% 11.77/2.61 % (2251956)Time elapsed: 0.076 s
% 11.77/2.61 % (2251956)Peak memory usage: 88 MB
% 11.77/2.61 % (2251956)Instructions burned: 120 (million)
% 11.77/2.61 % (2252000)lrs+10_1_sil=8000:sp=occurrence:random_seed=4062295477:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.77/2.61 % (2252003)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1913368859:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.77/2.61 % (2251954)------------------------------
% 11.77/2.61 % (2251954)------------------------------
% 11.77/2.61 % (2252005)lrs+1011_1_sil=32000:sp=occurrence:random_seed=489012594:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.77/2.61 % (2252000)Instruction limit reached!
% 11.77/2.61 % (2252000)------------------------------
% 11.77/2.61 % (2252000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.39/3.81 % (2252000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.81 % (2252000)CaDiCaL version: 2.1.3
% 20.39/3.81 % (2252000)Termination reason: Instruction limit
% 20.39/3.81 % (2252000)Termination phase: Saturation
% 20.39/3.81 % (2252000)Time elapsed: 0.100 s
% 20.39/3.81 % (2252000)Peak memory usage: 91 MB
% 20.39/3.81 % (2252000)Instructions burned: 287 (million)
% 20.39/3.81 % (2252003)Instruction limit reached!
% 20.39/3.81 % (2252003)------------------------------
% 20.39/3.81 % (2252003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.39/3.81 % (2252003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.81 % (2252003)CaDiCaL version: 2.1.3
% 20.39/3.81 % (2252003)Termination reason: Instruction limit
% 20.39/3.81 % (2252003)Termination phase: Saturation
% 20.39/3.81 % (2252003)Time elapsed: 0.066 s
% 20.39/3.81 % (2252003)Peak memory usage: 96 MB
% 20.39/3.81 % (2252003)Instructions burned: 158 (million)
% 20.39/3.81 % (2252021)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=748574474:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.39/3.81 % (2252020)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=3827309201:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.39/3.81 % (2252021)Refutation not found, incomplete strategy
% 20.39/3.81 % (2252021)------------------------------
% 20.39/3.81 % (2252021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.39/3.81 % (2252021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.81 % (2252021)CaDiCaL version: 2.1.3
% 20.39/3.81 % (2252021)Termination reason: Refutation not found, incomplete strategy
% 20.39/3.81 % (2252021)Time elapsed: 0.002 s
% 20.39/3.81 % (2252021)Peak memory usage: 89 MB
% 20.39/3.81 % (2252021)Instructions burned: 4 (million)
% 20.39/3.81 % (2252022)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1541693105:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 20.39/3.81 % (2252005)Instruction limit reached!
% 20.39/3.81 % (2252005)------------------------------
% 20.39/3.81 % (2252005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.39/3.81 % (2252005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.81 % (2252005)CaDiCaL version: 2.1.3
% 20.39/3.81 % (2252005)Termination reason: Instruction limit
% 20.39/3.81 % (2252005)Termination phase: Saturation
% 20.39/3.81 % (2252005)Time elapsed: 0.211 s
% 20.39/3.81 % (2252005)Peak memory usage: 91 MB
% 20.39/3.81 % (2252005)Instructions burned: 325 (million)
% 20.39/3.81 % (2252020)Instruction limit reached!
% 20.39/3.81 % (2252020)------------------------------
% 20.39/3.81 % (2252020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.39/3.81 % (2252020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.81 % (2252020)CaDiCaL version: 2.1.3
% 20.39/3.81 % (2252020)Termination reason: Instruction limit
% 20.39/3.81 % (2252020)Termination phase: Saturation
% 20.39/3.81 % (2252020)Time elapsed: 0.147 s
% 20.39/3.81 % (2252020)Peak memory usage: 92 MB
% 20.39/3.81 % (2252020)Instructions burned: 249 (million)
% 20.39/3.81 % (2252021)------------------------------
% 20.39/3.81 % (2252021)------------------------------
% 20.39/3.81 % (2252034)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3859864286:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.39/3.81 % (2252057)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3973416965:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 20.39/3.81 % (2252057)Instruction limit reached!
% 20.39/3.81 % (2252057)------------------------------
% 20.39/3.81 % (2252057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.39/3.81 % (2252057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.81 % (2252057)CaDiCaL version: 2.1.3
% 20.39/3.81 % (2252057)Termination reason: Instruction limit
% 20.39/3.81 % (2252057)Termination phase: Saturation
% 20.39/3.81 % (2252057)Time elapsed: 0.035 s
% 20.39/3.81 % (2252057)Peak memory usage: 89 MB
% 20.39/3.81 % (2252057)Instructions burned: 115 (million)
% 20.39/3.81 % (2252055)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=659507226:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 20.39/3.81 % (2252034)Instruction limit reached!
% 20.39/3.81 % (2252034)------------------------------
% 11.21/4.50 % (2252034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252034)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252034)Termination reason: Instruction limit
% 11.21/4.50 % (2252034)Termination phase: Saturation
% 11.21/4.50 % (2252034)Time elapsed: 0.084 s
% 11.21/4.50 % (2252034)Peak memory usage: 90 MB
% 11.21/4.50 % (2252034)Instructions burned: 114 (million)
% 11.21/4.50 % (2252055)Instruction limit reached!
% 11.21/4.50 % (2252055)------------------------------
% 11.21/4.50 % (2252055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252055)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252055)Termination reason: Instruction limit
% 11.21/4.50 % (2252055)Termination phase: Saturation
% 11.21/4.50 % (2252055)Time elapsed: 0.069 s
% 11.21/4.50 % (2252055)Peak memory usage: 89 MB
% 11.21/4.50 % (2252055)Instructions burned: 129 (million)
% 11.21/4.50 % (2252079)lrs+10_1_sil=8000:sp=occurrence:random_seed=2337680880:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.21/4.50 % (2252080)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3399870898:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.21/4.50 % (2252081)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=654883559:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.21/4.50 % (2252079)Instruction limit reached!
% 11.21/4.50 % (2252079)------------------------------
% 11.21/4.50 % (2252079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252079)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252079)Termination reason: Instruction limit
% 11.21/4.50 % (2252079)Termination phase: Saturation
% 11.21/4.50 % (2252079)Time elapsed: 0.296 s
% 11.21/4.50 % (2252079)Peak memory usage: 95 MB
% 11.21/4.50 % (2252079)Instructions burned: 909 (million)
% 11.21/4.50 % (2252080)Instruction limit reached!
% 11.21/4.50 % (2252080)------------------------------
% 11.21/4.50 % (2252080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252080)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252080)Termination reason: Instruction limit
% 11.21/4.50 % (2252080)Termination phase: Saturation
% 11.21/4.50 % (2252080)Time elapsed: 0.283 s
% 11.21/4.50 % (2252080)Peak memory usage: 92 MB
% 11.21/4.50 % (2252080)Instructions burned: 438 (million)
% 11.21/4.50 % (2252085)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1426952445:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.21/4.50 % (2252085)Instruction limit reached!
% 11.21/4.50 % (2252085)------------------------------
% 11.21/4.50 % (2252085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252085)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252085)Termination reason: Instruction limit
% 11.21/4.50 % (2252085)Termination phase: Saturation
% 11.21/4.50 % (2252085)Time elapsed: 0.040 s
% 11.21/4.50 % (2252085)Peak memory usage: 93 MB
% 11.21/4.50 % (2252085)Instructions burned: 136 (million)
% 11.21/4.50 % (2252086)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2022964881:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 11.21/4.50 % (2252086)Refutation not found, incomplete strategy
% 11.21/4.50 % (2252086)------------------------------
% 11.21/4.50 % (2252086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252086)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252086)Termination reason: Refutation not found, incomplete strategy
% 11.21/4.50 % (2252086)Time elapsed: 0.004 s
% 11.21/4.50 % (2252086)Peak memory usage: 88 MB
% 11.21/4.50 % (2252086)Instructions burned: 4 (million)
% 11.21/4.50 % (2252088)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4136795859:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 11.21/4.50 % (2252086)------------------------------
% 11.21/4.50 % (2252086)------------------------------
% 11.21/4.50 % (2252091)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=726277966:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 11.21/4.50 % (2252091)Instruction limit reached!
% 11.21/4.50 % (2252091)------------------------------
% 11.21/4.50 % (2252091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252091)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252091)Termination reason: Instruction limit
% 11.21/4.50 % (2252091)Termination phase: Saturation
% 11.21/4.50 % (2252091)Time elapsed: 0.091 s
% 11.21/4.50 % (2252091)Peak memory usage: 90 MB
% 11.21/4.50 % (2252091)Instructions burned: 125 (million)
% 11.21/4.50 % (2252093)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=610565200:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 11.21/4.50 % (2252022)Instruction limit reached!
% 11.21/4.50 % (2252022)------------------------------
% 11.21/4.50 % (2252022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252022)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252022)Termination reason: Instruction limit
% 11.21/4.50 % (2252022)Termination phase: Saturation
% 11.21/4.50 % (2252022)Time elapsed: 1.587 s
% 11.21/4.50 % (2252022)Peak memory usage: 140 MB
% 11.21/4.50 % (2252022)Instructions burned: 2351 (million)
% 11.21/4.50 % (2252093)Instruction limit reached!
% 11.21/4.50 % (2252093)------------------------------
% 11.21/4.50 % (2252093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252093)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252093)Termination reason: Instruction limit
% 11.21/4.50 % (2252093)Termination phase: Saturation
% 11.21/4.50 % (2252093)Time elapsed: 0.090 s
% 11.21/4.50 % (2252093)Peak memory usage: 90 MB
% 11.21/4.50 % (2252093)Instructions burned: 134 (million)
% 11.21/4.50 % (2252095)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2261525602:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 11.21/4.50 % (2252095)Refutation not found, incomplete strategy
% 11.21/4.50 % (2252095)------------------------------
% 11.21/4.50 % (2252095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252095)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252095)Termination reason: Refutation not found, incomplete strategy
% 11.21/4.50 % (2252095)Time elapsed: 0.002 s
% 11.21/4.50 % (2252095)Peak memory usage: 88 MB
% 11.21/4.50 % (2252096)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1091169214:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 11.21/4.50 % (2252095)------------------------------
% 11.21/4.50 % (2252095)------------------------------
% 11.21/4.50 % (2252096)Instruction limit reached!
% 11.21/4.50 % (2252096)------------------------------
% 11.21/4.50 % (2252096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252096)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252096)Termination reason: Instruction limit
% 11.21/4.50 % (2252096)Termination phase: Saturation
% 11.21/4.50 % (2252096)Time elapsed: 0.244 s
% 11.21/4.50 % (2252096)Peak memory usage: 94 MB
% 11.21/4.50 % (2252096)Instructions burned: 432 (million)
% 11.21/4.50 % (2252099)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3342992022:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 11.21/4.50 % (2252100)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=828378382:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 11.21/4.50 % (2252100)Instruction limit reached!
% 11.21/4.50 % (2252100)------------------------------
% 11.21/4.50 % (2252100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/4.50 % (2252100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/4.50 % (2252100)CaDiCaL version: 2.1.3
% 11.21/4.50 % (2252100)Termination reason: Instruction limit
% 11.21/4.50 % (2252100)Termination phase: Saturation
% 11.21/4.50 % (2252100)Time elapsed: 0.090 s
% 11.21/4.50 % (2252100)Peak memory usage: 91 MB
% 11.21/4.50 % (2252100)Instructions burned: 151 (million)
% 11.21/4.50 % (2252103)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1672124955:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 11.21/4.50 % (2252081)First to succeed.
% 11.21/4.50 % (2252081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2251884"
% 11.21/4.50 % (2252081)Refutation found. Thanks to Tanya!
% 11.21/4.50 % SZS status Theorem for theBenchmark
% 11.21/4.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/4.70 % (2252081)------------------------------
% 0.18/4.70 % (2252081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/4.70 % (2252081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/4.70 % (2252081)CaDiCaL version: 2.1.3
% 0.18/4.70 % (2252081)Termination reason: Refutation
% 0.18/4.70 % (2252081)Time elapsed: 2.245 s
% 0.18/4.70 % (2252081)Peak memory usage: 149 MB
% 0.18/4.70 % (2252081)Instructions burned: 3308 (million)
% 0.18/4.70 % (2252081)------------------------------
% 0.18/4.70 % (2252081)------------------------------
% 0.18/4.70 % (2251884)Success in time 3.587 s
% 0.18/4.70 % Vampire exiting
%------------------------------------------------------------------------------