%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU100+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:47:14 PM UTC 2026
% Result : Theorem 8.54s 2.22s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 36
% Syntax : Number of formulae : 236 ( 24 unt; 20 def)
% Number of atoms : 893 ( 114 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1119 ( 462 ~; 489 |; 127 &)
% ( 28 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 20 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 297 ( 1 sgn 258 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f14,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f15,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f16,axiom,
! [X0] :
( inclusion_linear(X0)
<=> ! [X1,X2] :
( ( in(X1,X0)
& in(X2,X0) )
=> inclusion_comparable(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_ordinal1) ).
fof(f17,axiom,
! [X0,X1] :
( inclusion_comparable(X0,X1)
<=> ( subset(X0,X1)
| subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_xboole_0) ).
fof(f28,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f58,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f60,axiom,
! [X0] :
( ( finite(X0)
& ~ ( empty_set != empty_set
& ! [X1] :
~ ( in(X1,empty_set)
& ! [X2] :
( in(X2,empty_set)
=> subset(X2,X1) ) ) )
& ! [X3,X4] :
( ( in(X3,X0)
& subset(X4,X0)
& ~ ( X4 != empty_set
& ! [X5] :
~ ( in(X5,X4)
& ! [X6] :
( in(X6,X4)
=> subset(X6,X5) ) ) ) )
=> ~ ( set_union2(X4,singleton(X3)) != empty_set
& ! [X7] :
~ ( in(X7,set_union2(X4,singleton(X3)))
& ! [X8] :
( in(X8,set_union2(X4,singleton(X3)))
=> subset(X8,X7) ) ) ) ) )
=> ~ ( X0 != empty_set
& ! [X9] :
~ ( in(X9,X0)
& ! [X10] :
( in(X10,X0)
=> subset(X10,X9) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_finset_1__e6_47__finset_1) ).
fof(f62,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(f64,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f65,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f66,conjecture,
! [X0] :
~ ( finite(X0)
& X0 != empty_set
& inclusion_linear(X0)
& ! [X1] :
~ ( in(X1,X0)
& ! [X2] :
( in(X2,X0)
=> subset(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_finset_1) ).
fof(f67,negated_conjecture,
~ ! [X0] :
~ ( finite(X0)
& X0 != empty_set
& inclusion_linear(X0)
& ! [X1] :
~ ( in(X1,X0)
& ! [X2] :
( in(X2,X0)
=> subset(X2,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f68,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f69,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f71,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f72,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f75,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f58]) ).
fof(f93,plain,
! [X0] :
( inclusion_linear(X0)
<=> ! [X1,X2] :
( inclusion_comparable(X1,X2)
| ~ in(X1,X0)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f94,plain,
! [X0] :
( inclusion_linear(X0)
<=> ! [X1,X2] :
( inclusion_comparable(X1,X2)
| ~ in(X1,X0)
| ~ in(X2,X0) ) ),
inference(flattening,[],[f93]) ).
fof(f104,plain,
! [X0] :
( empty_set = X0
| ? [X9] :
( in(X9,X0)
& ! [X10] :
( subset(X10,X9)
| ~ in(X10,X0) ) )
| ~ finite(X0)
| ( empty_set != empty_set
& ! [X1] :
( ~ in(X1,empty_set)
| ? [X2] :
( ~ subset(X2,X1)
& in(X2,empty_set) ) ) )
| ? [X3,X4] :
( set_union2(X4,singleton(X3)) != empty_set
& ! [X7] :
( ~ in(X7,set_union2(X4,singleton(X3)))
| ? [X8] :
( ~ subset(X8,X7)
& in(X8,set_union2(X4,singleton(X3))) ) )
& in(X3,X0)
& subset(X4,X0)
& ( empty_set = X4
| ? [X5] :
( in(X5,X4)
& ! [X6] :
( subset(X6,X5)
| ~ in(X6,X4) ) ) ) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f105,plain,
! [X0] :
( empty_set = X0
| ? [X9] :
( in(X9,X0)
& ! [X10] :
( subset(X10,X9)
| ~ in(X10,X0) ) )
| ~ finite(X0)
| ( empty_set != empty_set
& ! [X1] :
( ~ in(X1,empty_set)
| ? [X2] :
( ~ subset(X2,X1)
& in(X2,empty_set) ) ) )
| ? [X3,X4] :
( set_union2(X4,singleton(X3)) != empty_set
& ! [X7] :
( ~ in(X7,set_union2(X4,singleton(X3)))
| ? [X8] :
( ~ subset(X8,X7)
& in(X8,set_union2(X4,singleton(X3))) ) )
& in(X3,X0)
& subset(X4,X0)
& ( empty_set = X4
| ? [X5] :
( in(X5,X4)
& ! [X6] :
( subset(X6,X5)
| ~ in(X6,X4) ) ) ) ) ),
inference(flattening,[],[f104]) ).
fof(f108,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f64]) ).
fof(f109,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f111,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
? [X0] :
( finite(X0)
& X0 != empty_set
& inclusion_linear(X0)
& ! [X1] :
( ~ in(X1,X0)
| ? [X2] :
( ~ subset(X2,X1)
& in(X2,X0) ) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f113,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f69]) ).
fof(f114,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f113]) ).
fof(f116,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f119,definition,
! [X0] :
( ? [X3,X4] :
( set_union2(X4,singleton(X3)) != empty_set
& ! [X7] :
( ~ in(X7,set_union2(X4,singleton(X3)))
| ? [X8] :
( ~ subset(X8,X7)
& in(X8,set_union2(X4,singleton(X3))) ) )
& in(X3,X0)
& subset(X4,X0)
& ( empty_set = X4
| ? [X5] :
( in(X5,X4)
& ! [X6] :
( subset(X6,X5)
| ~ in(X6,X4) ) ) ) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f120,plain,
! [X0] :
( empty_set = X0
| ? [X9] :
( in(X9,X0)
& ! [X10] :
( subset(X10,X9)
| ~ in(X10,X0) ) )
| ~ finite(X0)
| ( empty_set != empty_set
& ! [X1] :
( ~ in(X1,empty_set)
| ? [X2] :
( ~ subset(X2,X1)
& in(X2,empty_set) ) ) )
| sP0(X0) ),
inference(definition_folding,[],[f105,f119]) ).
fof(f121,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,[],[f14]) ).
fof(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK1(X0,X1) != X0
| ~ in(sK1(X0,X1),X1) )
& ( sK1(X0,X1) = X0
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(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_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(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_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(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_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(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_union2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f126]) ).
fof(f128,plain,
! [X0] :
( ( inclusion_linear(X0)
| ? [X1,X2] :
( ~ inclusion_comparable(X1,X2)
& in(X1,X0)
& in(X2,X0) ) )
& ( ! [X1,X2] :
( inclusion_comparable(X1,X2)
| ~ in(X1,X0)
| ~ in(X2,X0) )
| ~ inclusion_linear(X0) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f129,plain,
! [X0] :
( ( inclusion_linear(X0)
| ? [X1,X2] :
( ~ inclusion_comparable(X1,X2)
& in(X1,X0)
& in(X2,X0) ) )
& ( ! [X3,X4] :
( inclusion_comparable(X3,X4)
| ~ in(X3,X0)
| ~ in(X4,X0) )
| ~ inclusion_linear(X0) ) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0] :
( ( inclusion_linear(X0)
| ( ~ inclusion_comparable(sK3(X0),sK4(X0))
& in(sK3(X0),X0)
& in(sK4(X0),X0) ) )
& ( ! [X3,X4] :
( inclusion_comparable(X3,X4)
| ~ in(X3,X0)
| ~ in(X4,X0) )
| ~ inclusion_linear(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0))],[f129]) ).
fof(f131,plain,
! [X0,X1] :
( ( inclusion_comparable(X0,X1)
| ( ~ subset(X0,X1)
& ~ subset(X1,X0) ) )
& ( subset(X0,X1)
| subset(X1,X0)
| ~ inclusion_comparable(X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f132,plain,
! [X0,X1] :
( ( inclusion_comparable(X0,X1)
| ( ~ subset(X0,X1)
& ~ subset(X1,X0) ) )
& ( subset(X0,X1)
| subset(X1,X0)
| ~ inclusion_comparable(X0,X1) ) ),
inference(flattening,[],[f131]) ).
fof(f160,plain,
! [X0] :
( ? [X3,X4] :
( set_union2(X4,singleton(X3)) != empty_set
& ! [X7] :
( ~ in(X7,set_union2(X4,singleton(X3)))
| ? [X8] :
( ~ subset(X8,X7)
& in(X8,set_union2(X4,singleton(X3))) ) )
& in(X3,X0)
& subset(X4,X0)
& ( empty_set = X4
| ? [X5] :
( in(X5,X4)
& ! [X6] :
( subset(X6,X5)
| ~ in(X6,X4) ) ) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f161,plain,
! [X0] :
( ? [X1,X2] :
( empty_set != set_union2(X2,singleton(X1))
& ! [X3] :
( ~ in(X3,set_union2(X2,singleton(X1)))
| ? [X4] :
( ~ subset(X4,X3)
& in(X4,set_union2(X2,singleton(X1))) ) )
& in(X1,X0)
& subset(X2,X0)
& ( empty_set = X2
| ? [X5] :
( in(X5,X2)
& ! [X6] :
( subset(X6,X5)
| ~ in(X6,X2) ) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f160]) ).
fof(f162,plain,
! [X0] :
( ( empty_set != set_union2(sK33(X0),singleton(sK32(X0)))
& ! [X3] :
( ~ in(X3,set_union2(sK33(X0),singleton(sK32(X0))))
| ( ~ subset(sK34(X0,X3),X3)
& in(sK34(X0,X3),set_union2(sK33(X0),singleton(sK32(X0)))) ) )
& in(sK32(X0),X0)
& subset(sK33(X0),X0)
& ( empty_set = sK33(X0)
| ( in(sK35(X0),sK33(X0))
& ! [X6] :
( subset(X6,sK35(X0))
| ~ in(X6,sK33(X0)) ) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35]),skolemize(X1,sK32(X0)),skolemize(X2,sK33(X0)),skolemize(X4,sK34(X0,X3)),skolemize(X5,sK35(X0))],[f161]) ).
fof(f163,plain,
! [X0] :
( empty_set = X0
| ? [X1] :
( in(X1,X0)
& ! [X2] :
( subset(X2,X1)
| ~ in(X2,X0) ) )
| ~ finite(X0)
| ( empty_set != empty_set
& ! [X3] :
( ~ in(X3,empty_set)
| ? [X4] :
( ~ subset(X4,X3)
& in(X4,empty_set) ) ) )
| sP0(X0) ),
inference(rectify,[],[f120]) ).
fof(f164,plain,
! [X0] :
( empty_set = X0
| ( in(sK36(X0),X0)
& ! [X2] :
( subset(X2,sK36(X0))
| ~ in(X2,X0) ) )
| ~ finite(X0)
| ( empty_set != empty_set
& ! [X3] :
( ~ in(X3,empty_set)
| ( ~ subset(sK37(X3),X3)
& in(sK37(X3),empty_set) ) ) )
| sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X1,sK36(X0)),skolemize(X4,sK37(X3))],[f163]) ).
fof(f165,plain,
( finite(sK38)
& empty_set != sK38
& inclusion_linear(sK38)
& ! [X1] :
( ~ in(X1,sK38)
| ( ~ subset(sK39(X1),X1)
& in(sK39(X1),sK38) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X0,sK38),skolemize(X2,sK39(X1))],[f112]) ).
fof(f166,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f192,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f13]) ).
fof(f193,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f194,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f197,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f198,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f199,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f203,plain,
! [X3,X0,X4] :
( ~ inclusion_linear(X0)
| ~ in(X3,X0)
| ~ in(X4,X0)
| inclusion_comparable(X3,X4) ),
inference(cnf_transformation,[],[f130]) ).
fof(f207,plain,
! [X0,X1] :
( ~ inclusion_comparable(X0,X1)
| subset(X1,X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f231,plain,
empty(empty_set),
inference(cnf_transformation,[],[f28]) ).
fof(f323,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f75]) ).
fof(f325,plain,
! [X0,X6] :
( ~ sP0(X0)
| subset(X6,sK35(X0))
| ~ in(X6,sK33(X0))
| empty_set = sK33(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f326,plain,
! [X0] :
( in(sK35(X0),sK33(X0))
| empty_set = sK33(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f327,plain,
! [X0] :
( ~ sP0(X0)
| subset(sK33(X0),X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f328,plain,
! [X0] :
( ~ sP0(X0)
| in(sK32(X0),X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f329,plain,
! [X3,X0] :
( in(sK34(X0,X3),set_union2(sK33(X0),singleton(sK32(X0))))
| ~ in(X3,set_union2(sK33(X0),singleton(sK32(X0))))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f330,plain,
! [X3,X0] :
( ~ sP0(X0)
| ~ subset(sK34(X0,X3),X3)
| ~ in(X3,set_union2(sK33(X0),singleton(sK32(X0)))) ),
inference(cnf_transformation,[],[f162]) ).
fof(f334,plain,
! [X2,X0] :
( empty_set = X0
| subset(X2,sK36(X0))
| ~ in(X2,X0)
| ~ finite(X0)
| empty_set != empty_set
| sP0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f337,plain,
! [X0] :
( empty_set = X0
| in(sK36(X0),X0)
| ~ finite(X0)
| empty_set != empty_set
| sP0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f339,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f62]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f342,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f343,plain,
! [X1] :
( in(sK39(X1),sK38)
| ~ in(X1,sK38) ),
inference(cnf_transformation,[],[f165]) ).
fof(f344,plain,
! [X1] :
( ~ subset(sK39(X1),X1)
| ~ in(X1,sK38) ),
inference(cnf_transformation,[],[f165]) ).
fof(f345,plain,
inclusion_linear(sK38),
inference(cnf_transformation,[],[f165]) ).
fof(f346,plain,
empty_set != sK38,
inference(cnf_transformation,[],[f165]) ).
fof(f347,plain,
finite(sK38),
inference(cnf_transformation,[],[f165]) ).
fof(f349,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f352,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f353,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f355,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f194]) ).
fof(f356,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f355]) ).
fof(f357,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f193]) ).
fof(f358,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f359,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f198]) ).
fof(f360,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f197]) ).
fof(f361,plain,
! [X2,X0] :
( empty_set = X0
| subset(X2,sK36(X0))
| ~ in(X2,X0)
| ~ finite(X0)
| sP0(X0) ),
inference(trivial_inequality_removal,[],[f334]) ).
fof(f362,plain,
! [X0] :
( empty_set = X0
| in(sK36(X0),X0)
| ~ finite(X0)
| sP0(X0) ),
inference(trivial_inequality_removal,[],[f337]) ).
fof(f367,definition,
( spl40_2
<=> ! [X2,X0] :
( empty_set = X0
| sP0(X0)
| ~ finite(X0)
| ~ in(X2,X0)
| subset(X2,sK36(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).
fof(f368,plain,
( ! [X2,X0] :
( ~ finite(X0)
| sP0(X0)
| empty_set = X0
| ~ in(X2,X0)
| subset(X2,sK36(X0)) )
| ~ spl40_2 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f374,plain,
spl40_2,
inference(avatar_split_clause,[],[f361,f367]) ).
fof(f376,definition,
( spl40_4
<=> ! [X0] :
( empty_set = X0
| sP0(X0)
| ~ finite(X0)
| in(sK36(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f377,plain,
( ! [X0] :
( ~ finite(X0)
| sP0(X0)
| empty_set = X0
| in(sK36(X0),X0) )
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f380,plain,
spl40_4,
inference(avatar_split_clause,[],[f362,f376]) ).
fof(f381,plain,
( ! [X0] :
( sP0(sK38)
| empty_set = sK38
| ~ in(X0,sK38)
| subset(X0,sK36(sK38)) )
| ~ spl40_2 ),
inference(resolution,[],[f368,f347]) ).
fof(f382,plain,
( ! [X0] :
( sP0(sK38)
| ~ in(X0,sK38)
| subset(X0,sK36(sK38)) )
| ~ spl40_2 ),
inference(forward_subsumption_resolution,[],[f381,f346]) ).
fof(f384,definition,
( spl40_5
<=> ! [X0] :
( ~ in(X0,sK38)
| subset(X0,sK36(sK38)) ) ),
introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).
fof(f385,plain,
( ! [X0] :
( subset(X0,sK36(sK38))
| ~ in(X0,sK38) )
| ~ spl40_5 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f387,definition,
( spl40_6
<=> sP0(sK38) ),
introduced(definition,[new_symbols(definition,[spl40_6])],[avatar_definition]) ).
fof(f388,plain,
( sP0(sK38)
| ~ spl40_6 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( spl40_5
| spl40_6
| ~ spl40_2 ),
inference(avatar_split_clause,[],[f382,f367,f387,f384]) ).
fof(f390,plain,
( ~ in(sK39(sK36(sK38)),sK38)
| ~ in(sK36(sK38),sK38)
| ~ spl40_5 ),
inference(resolution,[],[f385,f344]) ).
fof(f391,plain,
( ~ in(sK36(sK38),sK38)
| ~ spl40_5 ),
inference(forward_subsumption_resolution,[],[f390,f343]) ).
fof(f392,plain,
( sP0(sK38)
| empty_set = sK38
| in(sK36(sK38),sK38)
| ~ spl40_4 ),
inference(resolution,[],[f377,f347]) ).
fof(f393,plain,
( sP0(sK38)
| in(sK36(sK38),sK38)
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f392,f346]) ).
fof(f394,plain,
( sP0(sK38)
| ~ spl40_4
| ~ spl40_5 ),
inference(forward_subsumption_resolution,[],[f393,f391]) ).
fof(f395,plain,
( spl40_6
| ~ spl40_4
| ~ spl40_5 ),
inference(avatar_split_clause,[],[f394,f384,f376,f387]) ).
fof(f396,plain,
( in(sK32(sK38),sK38)
| ~ spl40_6 ),
inference(resolution,[],[f388,f328]) ).
fof(f397,plain,
( ! [X0] :
( subset(X0,sK35(sK38))
| ~ in(X0,sK33(sK38))
| empty_set = sK33(sK38) )
| ~ spl40_6 ),
inference(resolution,[],[f388,f325]) ).
fof(f398,plain,
( subset(sK33(sK38),sK38)
| ~ spl40_6 ),
inference(resolution,[],[f388,f327]) ).
fof(f400,definition,
( spl40_7
<=> empty_set = sK33(sK38) ),
introduced(definition,[new_symbols(definition,[spl40_7])],[avatar_definition]) ).
fof(f401,plain,
( empty_set = sK33(sK38)
| ~ spl40_7 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,definition,
( spl40_8
<=> ! [X0] :
( subset(X0,sK35(sK38))
| ~ in(X0,sK33(sK38)) ) ),
introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition]) ).
fof(f404,plain,
( ! [X0] :
( subset(X0,sK35(sK38))
| ~ in(X0,sK33(sK38)) )
| ~ spl40_8 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f405,plain,
( spl40_7
| spl40_8
| ~ spl40_6 ),
inference(avatar_split_clause,[],[f397,f387,f403,f400]) ).
fof(f411,plain,
( ! [X0] :
( ~ subset(sK34(sK38,X0),X0)
| ~ in(X0,set_union2(sK33(sK38),singleton(sK32(sK38)))) )
| ~ spl40_6 ),
inference(resolution,[],[f330,f388]) ).
fof(f415,plain,
! [X0,X1] :
( ~ sP0(X0)
| in(sK34(X0,X1),sK33(X0))
| ~ in(X1,set_union2(sK33(X0),singleton(sK32(X0))))
| in(sK34(X0,X1),singleton(sK32(X0))) ),
inference(resolution,[],[f360,f329]) ).
fof(f432,plain,
! [X0,X1] :
( inclusion_comparable(X0,X1)
| ~ in(X1,sK38)
| ~ in(X0,sK38) ),
inference(resolution,[],[f203,f345]) ).
fof(f433,plain,
! [X0,X1] :
( ~ in(X1,sK38)
| ~ in(X0,sK38)
| subset(X0,X1)
| subset(X1,X0) ),
inference(resolution,[],[f432,f207]) ).
fof(f434,plain,
( ! [X0] :
( ~ in(X0,sK38)
| subset(X0,sK32(sK38))
| subset(sK32(sK38),X0) )
| ~ spl40_6 ),
inference(resolution,[],[f433,f396]) ).
fof(f449,plain,
( ! [X0] :
( ~ in(X0,set_union2(sK33(sK38),singleton(sK32(sK38))))
| in(sK34(sK38,X0),sK33(sK38))
| in(sK34(sK38,X0),singleton(sK32(sK38))) )
| ~ spl40_6 ),
inference(resolution,[],[f415,f388]) ).
fof(f537,plain,
! [X0] : set_union2(empty_set,X0) = X0,
inference(superposition,[],[f192,f339]) ).
fof(f680,plain,
! [X0] : ~ in(X0,empty_set),
inference(resolution,[],[f353,f231]) ).
fof(f704,plain,
( ! [X0,X1] :
( ~ in(X0,sK33(sK38))
| ~ subset(X1,X0)
| subset(X1,sK35(sK38)) )
| ~ spl40_8 ),
inference(resolution,[],[f404,f341]) ).
fof(f712,plain,
( ! [X0] :
( in(sK34(sK38,X0),singleton(sK32(sK38)))
| in(sK34(sK38,X0),sK33(sK38))
| ~ in(X0,sK33(sK38)) )
| ~ spl40_6 ),
inference(resolution,[],[f449,f358]) ).
fof(f713,plain,
( ! [X0] :
( in(sK34(sK38,X0),singleton(sK32(sK38)))
| in(sK34(sK38,X0),sK33(sK38))
| ~ in(X0,singleton(sK32(sK38))) )
| ~ spl40_6 ),
inference(resolution,[],[f449,f359]) ).
fof(f717,plain,
( ! [X0] :
( in(sK34(sK38,sK34(sK38,X0)),sK33(sK38))
| in(sK34(sK38,sK34(sK38,X0)),singleton(sK32(sK38)))
| ~ in(X0,set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ sP0(sK38) )
| ~ spl40_6 ),
inference(resolution,[],[f449,f329]) ).
fof(f718,plain,
( ! [X0] :
( in(sK34(sK38,sK34(sK38,X0)),singleton(sK32(sK38)))
| in(sK34(sK38,sK34(sK38,X0)),sK33(sK38))
| ~ in(X0,set_union2(sK33(sK38),singleton(sK32(sK38)))) )
| ~ spl40_6 ),
inference(forward_subsumption_resolution,[],[f717,f388]) ).
fof(f736,plain,
( ~ in(sK35(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ in(sK34(sK38,sK35(sK38)),sK33(sK38))
| ~ spl40_6
| ~ spl40_8 ),
inference(resolution,[],[f411,f404]) ).
fof(f750,definition,
( spl40_43
<=> in(sK34(sK38,sK35(sK38)),sK33(sK38)) ),
introduced(definition,[new_symbols(definition,[spl40_43])],[avatar_definition]) ).
fof(f751,plain,
( ~ in(sK34(sK38,sK35(sK38)),sK33(sK38))
| spl40_43 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f753,definition,
( spl40_44
<=> in(sK35(sK38),set_union2(sK33(sK38),singleton(sK32(sK38)))) ),
introduced(definition,[new_symbols(definition,[spl40_44])],[avatar_definition]) ).
fof(f754,plain,
( ~ in(sK35(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| spl40_44 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f755,plain,
( ~ spl40_43
| ~ spl40_44
| ~ spl40_6
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f736,f403,f387,f753,f750]) ).
fof(f757,plain,
( ~ in(sK35(sK38),sK33(sK38))
| spl40_44 ),
inference(resolution,[],[f754,f358]) ).
fof(f759,plain,
( empty_set = sK33(sK38)
| ~ sP0(sK38)
| spl40_44 ),
inference(resolution,[],[f757,f326]) ).
fof(f760,plain,
( empty_set = sK33(sK38)
| ~ spl40_6
| spl40_44 ),
inference(forward_subsumption_resolution,[],[f759,f388]) ).
fof(f761,plain,
( spl40_7
| ~ spl40_6
| spl40_44 ),
inference(avatar_split_clause,[],[f760,f753,f387,f400]) ).
fof(f794,definition,
( spl40_45
<=> sK32(sK38) = sK34(sK38,sK32(sK38)) ),
introduced(definition,[new_symbols(definition,[spl40_45])],[avatar_definition]) ).
fof(f795,plain,
( sK32(sK38) = sK34(sK38,sK32(sK38))
| ~ spl40_45 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f800,plain,
( ! [X0] :
( in(sK34(sK38,X0),sK33(sK38))
| ~ in(X0,sK33(sK38))
| sK32(sK38) = sK34(sK38,X0) )
| ~ spl40_6 ),
inference(resolution,[],[f712,f357]) ).
fof(f801,plain,
( ~ in(sK35(sK38),sK33(sK38))
| sK32(sK38) = sK34(sK38,sK35(sK38))
| ~ spl40_6
| spl40_43 ),
inference(resolution,[],[f800,f751]) ).
fof(f803,definition,
( spl40_46
<=> sK32(sK38) = sK34(sK38,sK35(sK38)) ),
introduced(definition,[new_symbols(definition,[spl40_46])],[avatar_definition]) ).
fof(f804,plain,
( sK32(sK38) = sK34(sK38,sK35(sK38))
| ~ spl40_46 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f806,definition,
( spl40_47
<=> in(sK35(sK38),sK33(sK38)) ),
introduced(definition,[new_symbols(definition,[spl40_47])],[avatar_definition]) ).
fof(f807,plain,
( ~ in(sK35(sK38),sK33(sK38))
| spl40_47 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( spl40_46
| ~ spl40_47
| ~ spl40_6
| spl40_43 ),
inference(avatar_split_clause,[],[f801,f750,f387,f806,f803]) ).
fof(f809,plain,
( empty_set = sK33(sK38)
| ~ sP0(sK38)
| spl40_47 ),
inference(resolution,[],[f807,f326]) ).
fof(f810,plain,
( empty_set = sK33(sK38)
| ~ spl40_6
| spl40_47 ),
inference(forward_subsumption_resolution,[],[f809,f388]) ).
fof(f811,plain,
( spl40_7
| ~ spl40_6
| spl40_47 ),
inference(avatar_split_clause,[],[f810,f806,f387,f400]) ).
fof(f814,plain,
( in(sK34(sK38,sK32(sK38)),singleton(sK32(sK38)))
| in(sK34(sK38,sK32(sK38)),sK33(sK38))
| ~ in(sK35(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ spl40_6
| ~ spl40_46 ),
inference(superposition,[],[f718,f804]) ).
fof(f815,plain,
( ~ subset(sK32(sK38),sK35(sK38))
| ~ in(sK35(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ spl40_6
| ~ spl40_46 ),
inference(superposition,[],[f411,f804]) ).
fof(f816,plain,
( in(sK32(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ in(sK35(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ sP0(sK38)
| ~ spl40_46 ),
inference(superposition,[],[f329,f804]) ).
fof(f817,plain,
( in(sK32(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ in(sK35(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ spl40_6
| ~ spl40_46 ),
inference(forward_subsumption_resolution,[],[f816,f388]) ).
fof(f819,definition,
( spl40_48
<=> subset(sK32(sK38),sK35(sK38)) ),
introduced(definition,[new_symbols(definition,[spl40_48])],[avatar_definition]) ).
fof(f820,plain,
( ~ subset(sK32(sK38),sK35(sK38))
| spl40_48 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( ~ spl40_44
| ~ spl40_48
| ~ spl40_6
| ~ spl40_46 ),
inference(avatar_split_clause,[],[f815,f803,f387,f819,f753]) ).
fof(f823,definition,
( spl40_49
<=> in(sK34(sK38,sK32(sK38)),sK33(sK38)) ),
introduced(definition,[new_symbols(definition,[spl40_49])],[avatar_definition]) ).
fof(f824,plain,
( in(sK34(sK38,sK32(sK38)),sK33(sK38))
| ~ spl40_49 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f826,definition,
( spl40_50
<=> in(sK34(sK38,sK32(sK38)),singleton(sK32(sK38))) ),
introduced(definition,[new_symbols(definition,[spl40_50])],[avatar_definition]) ).
fof(f827,plain,
( in(sK34(sK38,sK32(sK38)),singleton(sK32(sK38)))
| ~ spl40_50 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f828,plain,
( ~ spl40_44
| spl40_49
| spl40_50
| ~ spl40_6
| ~ spl40_46 ),
inference(avatar_split_clause,[],[f814,f803,f387,f826,f823,f753]) ).
fof(f830,definition,
( spl40_51
<=> in(sK32(sK38),set_union2(sK33(sK38),singleton(sK32(sK38)))) ),
introduced(definition,[new_symbols(definition,[spl40_51])],[avatar_definition]) ).
fof(f831,plain,
( in(sK32(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ spl40_51 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f832,plain,
( ~ spl40_44
| spl40_51
| ~ spl40_6
| ~ spl40_46 ),
inference(avatar_split_clause,[],[f817,f803,f387,f830,f753]) ).
fof(f833,plain,
( sK32(sK38) = sK34(sK38,sK32(sK38))
| ~ spl40_50 ),
inference(resolution,[],[f827,f357]) ).
fof(f834,plain,
( spl40_45
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f833,f826,f794]) ).
fof(f856,plain,
( ! [X0] :
( in(sK34(sK38,X0),sK33(sK38))
| ~ in(X0,singleton(sK32(sK38)))
| sK32(sK38) = sK34(sK38,X0) )
| ~ spl40_6 ),
inference(resolution,[],[f713,f357]) ).
fof(f859,plain,
( ! [X0,X1] :
( ~ subset(X1,sK34(sK38,X0))
| sK32(sK38) = sK34(sK38,X0)
| ~ in(X0,singleton(sK32(sK38)))
| subset(X1,sK35(sK38)) )
| ~ spl40_6
| ~ spl40_8 ),
inference(resolution,[],[f856,f704]) ).
fof(f1087,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ subset(X0,X1)
| element(X2,X1) ),
inference(resolution,[],[f349,f350]) ).
fof(f1114,plain,
( ! [X0] :
( element(sK34(sK38,sK32(sK38)),X0)
| ~ subset(sK33(sK38),X0) )
| ~ spl40_49 ),
inference(resolution,[],[f1087,f824]) ).
fof(f1124,plain,
( ! [X0] :
( ~ subset(sK33(sK38),X0)
| in(sK34(sK38,sK32(sK38)),X0)
| empty(X0) )
| ~ spl40_49 ),
inference(resolution,[],[f1114,f342]) ).
fof(f1160,plain,
( in(sK34(sK38,sK32(sK38)),sK38)
| empty(sK38)
| ~ spl40_6
| ~ spl40_49 ),
inference(resolution,[],[f1124,f398]) ).
fof(f1206,definition,
( spl40_77
<=> empty(sK38) ),
introduced(definition,[new_symbols(definition,[spl40_77])],[avatar_definition]) ).
fof(f1207,plain,
( empty(sK38)
| ~ spl40_77 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1209,definition,
( spl40_78
<=> in(sK34(sK38,sK32(sK38)),sK38) ),
introduced(definition,[new_symbols(definition,[spl40_78])],[avatar_definition]) ).
fof(f1210,plain,
( in(sK34(sK38,sK32(sK38)),sK38)
| ~ spl40_78 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1211,plain,
( spl40_77
| spl40_78
| ~ spl40_6
| ~ spl40_49 ),
inference(avatar_split_clause,[],[f1160,f823,f387,f1209,f1206]) ).
fof(f1215,plain,
( empty_set = sK38
| ~ spl40_77 ),
inference(resolution,[],[f1207,f352]) ).
fof(f1218,plain,
( $false
| ~ spl40_77 ),
inference(forward_subsumption_resolution,[],[f1215,f346]) ).
fof(f1219,plain,
~ spl40_77,
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1221,plain,
( subset(sK34(sK38,sK32(sK38)),sK32(sK38))
| subset(sK32(sK38),sK34(sK38,sK32(sK38)))
| ~ spl40_6
| ~ spl40_78 ),
inference(resolution,[],[f1210,f434]) ).
fof(f1255,definition,
( spl40_85
<=> subset(sK32(sK38),sK34(sK38,sK32(sK38))) ),
introduced(definition,[new_symbols(definition,[spl40_85])],[avatar_definition]) ).
fof(f1256,plain,
( subset(sK32(sK38),sK34(sK38,sK32(sK38)))
| ~ spl40_85 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1258,definition,
( spl40_86
<=> subset(sK34(sK38,sK32(sK38)),sK32(sK38)) ),
introduced(definition,[new_symbols(definition,[spl40_86])],[avatar_definition]) ).
fof(f1259,plain,
( subset(sK34(sK38,sK32(sK38)),sK32(sK38))
| ~ spl40_86 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1260,plain,
( spl40_85
| spl40_86
| ~ spl40_6
| ~ spl40_78 ),
inference(avatar_split_clause,[],[f1221,f1209,f387,f1258,f1255]) ).
fof(f1265,plain,
( ~ in(sK32(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ spl40_6
| ~ spl40_86 ),
inference(resolution,[],[f1259,f411]) ).
fof(f1269,plain,
( $false
| ~ spl40_6
| ~ spl40_51
| ~ spl40_86 ),
inference(forward_subsumption_resolution,[],[f1265,f831]) ).
fof(f1270,plain,
( ~ spl40_6
| ~ spl40_51
| ~ spl40_86 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1276,plain,
( sK32(sK38) = sK34(sK38,sK32(sK38))
| ~ in(sK32(sK38),singleton(sK32(sK38)))
| subset(sK32(sK38),sK35(sK38))
| ~ spl40_6
| ~ spl40_8
| ~ spl40_85 ),
inference(resolution,[],[f1256,f859]) ).
fof(f1281,plain,
( sK32(sK38) = sK34(sK38,sK32(sK38))
| subset(sK32(sK38),sK35(sK38))
| ~ spl40_6
| ~ spl40_8
| ~ spl40_85 ),
inference(forward_subsumption_resolution,[],[f1276,f356]) ).
fof(f1284,plain,
( sK32(sK38) = sK34(sK38,sK32(sK38))
| ~ spl40_6
| ~ spl40_8
| spl40_48
| ~ spl40_85 ),
inference(forward_subsumption_resolution,[],[f1281,f820]) ).
fof(f1285,plain,
( spl40_45
| ~ spl40_6
| ~ spl40_8
| spl40_48
| ~ spl40_85 ),
inference(avatar_split_clause,[],[f1284,f1255,f819,f403,f387,f794]) ).
fof(f1290,plain,
( ~ subset(sK32(sK38),sK32(sK38))
| ~ in(sK32(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ spl40_6
| ~ spl40_45 ),
inference(superposition,[],[f411,f795]) ).
fof(f1296,plain,
( ~ in(sK32(sK38),set_union2(sK33(sK38),singleton(sK32(sK38))))
| ~ spl40_6
| ~ spl40_45 ),
inference(forward_subsumption_resolution,[],[f1290,f323]) ).
fof(f1297,plain,
( $false
| ~ spl40_6
| ~ spl40_45
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f1296,f831]) ).
fof(f1298,plain,
( ~ spl40_6
| ~ spl40_45
| ~ spl40_51 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1301,plain,
( ~ in(sK32(sK38),set_union2(empty_set,singleton(sK32(sK38))))
| ~ spl40_6
| ~ spl40_7
| ~ spl40_45 ),
inference(forward_demodulation,[],[f1296,f401]) ).
fof(f1303,plain,
( ~ in(sK32(sK38),singleton(sK32(sK38)))
| ~ spl40_6
| ~ spl40_7
| ~ spl40_45 ),
inference(forward_demodulation,[],[f1301,f537]) ).
fof(f1304,plain,
( $false
| ~ spl40_6
| ~ spl40_7
| ~ spl40_45 ),
inference(forward_subsumption_resolution,[],[f1303,f356]) ).
fof(f1305,plain,
( ~ spl40_6
| ~ spl40_7
| ~ spl40_45 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1325,plain,
( ! [X0] :
( in(sK34(sK38,X0),empty_set)
| ~ in(X0,singleton(sK32(sK38)))
| sK32(sK38) = sK34(sK38,X0) )
| ~ spl40_6
| ~ spl40_7 ),
inference(superposition,[],[f856,f401]) ).
fof(f1340,plain,
( ! [X0] :
( ~ in(X0,singleton(sK32(sK38)))
| sK32(sK38) = sK34(sK38,X0) )
| ~ spl40_6
| ~ spl40_7 ),
inference(forward_subsumption_resolution,[],[f1325,f680]) ).
fof(f1351,plain,
( sK32(sK38) = sK34(sK38,sK32(sK38))
| ~ spl40_6
| ~ spl40_7 ),
inference(resolution,[],[f1340,f356]) ).
fof(f1371,plain,
( spl40_45
| ~ spl40_6
| ~ spl40_7 ),
inference(avatar_split_clause,[],[f1351,f400,f387,f794]) ).
cnf(s3,plain,
spl40_2,
inference(sat_conversion,[],[f374]) ).
cnf(s6,plain,
spl40_4,
inference(sat_conversion,[],[f380]) ).
cnf(s7,plain,
( ~ spl40_2
| spl40_5
| spl40_6 ),
inference(sat_conversion,[],[f389]) ).
cnf(s8,plain,
( ~ spl40_4
| ~ spl40_5
| spl40_6 ),
inference(sat_conversion,[],[f395]) ).
cnf(s9,plain,
( ~ spl40_6
| spl40_7
| spl40_8 ),
inference(sat_conversion,[],[f405]) ).
cnf(s33,plain,
( ~ spl40_6
| ~ spl40_8
| ~ spl40_43
| ~ spl40_44 ),
inference(sat_conversion,[],[f755]) ).
cnf(s34,plain,
( ~ spl40_6
| spl40_7
| spl40_44 ),
inference(sat_conversion,[],[f761]) ).
cnf(s37,plain,
( ~ spl40_6
| spl40_43
| spl40_46
| ~ spl40_47 ),
inference(sat_conversion,[],[f808]) ).
cnf(s38,plain,
( ~ spl40_6
| spl40_7
| spl40_47 ),
inference(sat_conversion,[],[f811]) ).
cnf(s39,plain,
( ~ spl40_6
| ~ spl40_44
| ~ spl40_46
| ~ spl40_48 ),
inference(sat_conversion,[],[f821]) ).
cnf(s40,plain,
( ~ spl40_6
| ~ spl40_44
| ~ spl40_46
| spl40_49
| spl40_50 ),
inference(sat_conversion,[],[f828]) ).
cnf(s41,plain,
( ~ spl40_6
| ~ spl40_44
| ~ spl40_46
| spl40_51 ),
inference(sat_conversion,[],[f832]) ).
cnf(s42,plain,
( spl40_45
| ~ spl40_50 ),
inference(sat_conversion,[],[f834]) ).
cnf(s55,plain,
( ~ spl40_6
| ~ spl40_49
| spl40_77
| spl40_78 ),
inference(sat_conversion,[],[f1211]) ).
cnf(s58,plain,
~ spl40_77,
inference(sat_conversion,[],[f1219]) ).
cnf(s62,plain,
( ~ spl40_6
| ~ spl40_78
| spl40_85
| spl40_86 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s65,plain,
( ~ spl40_6
| ~ spl40_51
| ~ spl40_86 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s70,plain,
( ~ spl40_6
| ~ spl40_8
| spl40_45
| spl40_48
| ~ spl40_85 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s71,plain,
( ~ spl40_6
| ~ spl40_45
| ~ spl40_51 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s72,plain,
( ~ spl40_6
| ~ spl40_7
| ~ spl40_45 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s75,plain,
( ~ spl40_6
| ~ spl40_7
| spl40_45 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s78,plain,
( ~ spl40_6
| ~ spl40_49
| spl40_78 ),
inference(rat,[],[s55,s58]) ).
cnf(s79,plain,
( spl40_7
| ~ spl40_6 ),
inference(rat,[],[s78,s62,s40,s70,s42,s71,s65,s39,s41,s37,s33,s34,s38,s9]) ).
cnf(s80,plain,
( ~ spl40_7
| ~ spl40_6 ),
inference(rat,[],[s72,s75]) ).
cnf(s81,plain,
~ spl40_6,
inference(rat,[],[s80,s79]) ).
cnf(s82,plain,
~ spl40_5,
inference(rat,[],[s8,s6,s81]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s7,s3,s81,s82]) ).
fof(f1391,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU100+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.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 03:39:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.54/2.22 % (4184814)Detected formulas, will run a generic FOF schedule.
% 8.54/2.22 % (4184836)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3533974419:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.54/2.22 % (4184836)Refutation not found, incomplete strategy
% 8.54/2.22 % (4184836)------------------------------
% 8.54/2.22 % (4184836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184836)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184836)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.22 % (4184836)Time elapsed: 0.002 s
% 8.54/2.22 % (4184836)Peak memory usage: 88 MB
% 8.54/2.22 % (4184836)Instructions burned: 2 (million)
% 8.54/2.22 % (4184834)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=1805741641:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.54/2.22 % (4184838)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4012990356:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.54/2.22 % (4184833)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=2383968142:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.54/2.22 % (4184835)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=851566389:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.54/2.22 % (4184837)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2718966420:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.54/2.22 % (4184839)dis-21_1_sil=8000:lcm=predicate:random_seed=926870351: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)
% 8.54/2.22 % (4184839)Instruction limit reached!
% 8.54/2.22 % (4184839)------------------------------
% 8.54/2.22 % (4184839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184839)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184839)Termination reason: Instruction limit
% 8.54/2.22 % (4184839)Termination phase: Saturation
% 8.54/2.22 % (4184839)Time elapsed: 0.068 s
% 8.54/2.22 % (4184839)Peak memory usage: 89 MB
% 8.54/2.22 % (4184839)Instructions burned: 131 (million)
% 8.54/2.22 % (4184838)Instruction limit reached!
% 8.54/2.22 % (4184838)------------------------------
% 8.54/2.22 % (4184838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184838)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184838)Termination reason: Instruction limit
% 8.54/2.22 % (4184838)Termination phase: Saturation
% 8.54/2.22 % (4184838)Time elapsed: 0.093 s
% 8.54/2.22 % (4184838)Peak memory usage: 89 MB
% 8.54/2.22 % (4184838)Instructions burned: 143 (million)
% 8.54/2.22 % (4184836)------------------------------
% 8.54/2.22 % (4184836)------------------------------
% 8.54/2.22 % (4184837)Instruction limit reached!
% 8.54/2.22 % (4184837)------------------------------
% 8.54/2.22 % (4184837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184837)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184837)Termination reason: Instruction limit
% 8.54/2.22 % (4184837)Termination phase: Saturation
% 8.54/2.22 % (4184837)Time elapsed: 0.126 s
% 8.54/2.22 % (4184837)Peak memory usage: 88 MB
% 8.54/2.22 % (4184837)Instructions burned: 119 (million)
% 8.54/2.22 % (4184849)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4200065674:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.54/2.22 % (4184847)lrs+10_1_sil=8000:sp=occurrence:random_seed=2068781112:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.54/2.22 % (4184848)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3224309014:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.54/2.22 % (4184852)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=1573675776:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.54/2.22 % (4184849)Instruction limit reached!
% 8.54/2.22 % (4184849)------------------------------
% 8.54/2.22 % (4184849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184849)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184849)Termination reason: Instruction limit
% 8.54/2.22 % (4184849)Termination phase: Saturation
% 8.54/2.22 % (4184849)Time elapsed: 0.177 s
% 8.54/2.22 % (4184849)Peak memory usage: 91 MB
% 8.54/2.22 % (4184849)Instructions burned: 325 (million)
% 8.54/2.22 % (4184848)Instruction limit reached!
% 8.54/2.22 % (4184848)------------------------------
% 8.54/2.22 % (4184848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184848)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184848)Termination reason: Instruction limit
% 8.54/2.22 % (4184848)Termination phase: Saturation
% 8.54/2.22 % (4184848)Time elapsed: 0.166 s
% 8.54/2.22 % (4184848)Peak memory usage: 90 MB
% 8.54/2.22 % (4184848)Instructions burned: 157 (million)
% 8.54/2.22 % (4184847)Instruction limit reached!
% 8.54/2.22 % (4184847)------------------------------
% 8.54/2.22 % (4184847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184847)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184847)Termination reason: Instruction limit
% 8.54/2.22 % (4184847)Termination phase: Saturation
% 8.54/2.22 % (4184847)Time elapsed: 0.252 s
% 8.54/2.22 % (4184847)Peak memory usage: 91 MB
% 8.54/2.22 % (4184847)Instructions burned: 286 (million)
% 8.54/2.22 % (4184852)Instruction limit reached!
% 8.54/2.22 % (4184852)------------------------------
% 8.54/2.22 % (4184852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184852)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184852)Termination reason: Instruction limit
% 8.54/2.22 % (4184852)Termination phase: Saturation
% 8.54/2.22 % (4184852)Time elapsed: 0.211 s
% 8.54/2.22 % (4184852)Peak memory usage: 95 MB
% 8.54/2.22 % (4184852)Instructions burned: 248 (million)
% 8.54/2.22 % (4184870)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1752334707:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.54/2.22 % (4184872)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3441147146:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.54/2.22 % (4184870)Instruction limit reached!
% 8.54/2.22 % (4184870)------------------------------
% 8.54/2.22 % (4184870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184870)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184870)Termination reason: Instruction limit
% 8.54/2.22 % (4184870)Termination phase: Saturation
% 8.54/2.22 % (4184870)Time elapsed: 0.077 s
% 8.54/2.22 % (4184870)Peak memory usage: 88 MB
% 8.54/2.22 % (4184870)Instructions burned: 297 (million)
% 8.54/2.22 % (4184873)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2565509004:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.54/2.22 % (4184874)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2401009661:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.54/2.22 % (4184874)Instruction limit reached!
% 8.54/2.22 % (4184874)------------------------------
% 8.54/2.22 % (4184874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184874)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184874)Termination reason: Instruction limit
% 8.54/2.22 % (4184874)Termination phase: Saturation
% 8.54/2.22 % (4184874)Time elapsed: 0.066 s
% 8.54/2.22 % (4184874)Peak memory usage: 89 MB
% 8.54/2.22 % (4184874)Instructions burned: 128 (million)
% 8.54/2.22 % (4184873)Instruction limit reached!
% 8.54/2.22 % (4184873)------------------------------
% 8.54/2.22 % (4184873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184873)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184873)Termination reason: Instruction limit
% 8.54/2.22 % (4184873)Termination phase: Saturation
% 8.54/2.22 % (4184873)Time elapsed: 0.079 s
% 8.54/2.22 % (4184873)Peak memory usage: 90 MB
% 8.54/2.22 % (4184873)Instructions burned: 113 (million)
% 8.54/2.22 % (4184877)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3641710237:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.54/2.22 % (4184877)Instruction limit reached!
% 8.54/2.22 % (4184877)------------------------------
% 8.54/2.22 % (4184877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.22 % (4184877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.22 % (4184877)CaDiCaL version: 2.1.3
% 8.54/2.22 % (4184877)Termination reason: Instruction limit
% 8.54/2.22 % (4184877)Termination phase: Saturation
% 8.54/2.22 % (4184877)Time elapsed: 0.033 s
% 8.54/2.22 % (4184877)Peak memory usage: 89 MB
% 8.54/2.22 % (4184877)Instructions burned: 115 (million)
% 8.54/2.22 % (4184834)First to succeed.
% 8.54/2.22 % (4184834)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4184814"
% 8.54/2.22 % (4184881)lrs+10_1_sil=8000:sp=occurrence:random_seed=2116762651:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.54/2.22 % (4184882)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=613395426:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.54/2.22 % (4184884)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1229632461:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.54/2.22 % (4184833)Also succeeded, but the first one will report.
% 8.54/2.22 % (4184834)Refutation found. Thanks to Tanya!
% 8.54/2.22 % SZS status Theorem for theBenchmark
% 8.54/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/2.41 % (4184834)------------------------------
% 0.13/2.41 % (4184834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.13/2.41 % (4184834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/2.41 % (4184834)CaDiCaL version: 2.1.3
% 0.13/2.41 % (4184834)Termination reason: Refutation
% 0.13/2.41 % (4184834)Time elapsed: 0.931 s
% 0.13/2.41 % (4184834)Peak memory usage: 131 MB
% 0.13/2.41 % (4184834)Instructions burned: 1164 (million)
% 0.13/2.41 % (4184834)------------------------------
% 0.13/2.41 % (4184834)------------------------------
% 0.13/2.41 % (4184814)Success in time 1.365 s
% 0.13/2.41 % Vampire exiting
%------------------------------------------------------------------------------