%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU365+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:33 PM UTC 2026
% Result : Theorem 52.97s 15.72s
% Output : Refutation 105.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 19
% Syntax : Number of formulae : 213 ( 29 unt; 0 def)
% Number of atoms : 1096 ( 153 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 1500 ( 617 ~; 711 |; 148 &)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 416 ( 371 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) )
=> ( ( finite(X2)
& ? [X3] :
( element(X3,the_carrier(X0))
& in(X3,X1)
& relstr_set_smaller(X0,empty_set,X3) )
& ! [X4,X5] :
( ( in(X4,X2)
& subset(X5,X2)
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) )
=> ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,set_union2(X5,singleton(X4)),X7) ) ) )
=> ? [X8] :
( element(X8,the_carrier(X0))
& in(X8,X1)
& relstr_set_smaller(X0,X2,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_finset_1__e11_2_1__waybel_0) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) )
=> ( ( finite(X2)
& ? [X3] :
( element(X3,the_carrier(X0))
& in(X3,X1)
& relstr_set_smaller(X0,empty_set,X3) )
& ! [X4,X5] :
( ( in(X4,X2)
& subset(X5,X2)
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) )
=> ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,set_union2(X5,singleton(X4)),X7) ) ) )
=> ? [X8] :
( element(X8,the_carrier(X0))
& in(X8,X1)
& relstr_set_smaller(X0,X2,X8) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f17,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f31,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(f43,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f44,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f53,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f66,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(powerset(X0)))
=> ~ ( X1 != empty_set
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
( ( in(X3,X1)
& subset(X2,X3) )
=> X3 = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_finset_1) ).
fof(f68,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f69,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f70,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f72,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f74,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f76,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f77,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f78,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f79,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f80,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f82,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(f97,plain,
? [X0,X1,X2] :
( ! [X8] :
( ~ element(X8,the_carrier(X0))
| ~ in(X8,X1)
| ~ relstr_set_smaller(X0,X2,X8) )
& finite(X2)
& ? [X3] :
( element(X3,the_carrier(X0))
& in(X3,X1)
& relstr_set_smaller(X0,empty_set,X3) )
& ! [X4,X5] :
( ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,set_union2(X5,singleton(X4)),X7) )
| ~ in(X4,X2)
| ~ subset(X5,X2)
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f98,plain,
? [X0,X1,X2] :
( ! [X8] :
( ~ element(X8,the_carrier(X0))
| ~ in(X8,X1)
| ~ relstr_set_smaller(X0,X2,X8) )
& finite(X2)
& ? [X3] :
( element(X3,the_carrier(X0))
& in(X3,X1)
& relstr_set_smaller(X0,empty_set,X3) )
& ! [X4,X5] :
( ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,set_union2(X5,singleton(X4)),X7) )
| ~ in(X4,X2)
| ~ subset(X5,X2)
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(flattening,[],[f97]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(flattening,[],[f114]) ).
fof(f127,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( empty_set = X1
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( X3 = X2
| ~ in(X3,X1)
| ~ subset(X2,X3) ) )
| ~ element(X1,powerset(powerset(X0))) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( empty_set = X1
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( X3 = X2
| ~ in(X3,X1)
| ~ subset(X2,X3) ) )
| ~ element(X1,powerset(powerset(X0))) )
| ~ finite(X0) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f136,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f137,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f76]) ).
fof(f139,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f77]) ).
fof(f141,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f142,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f144,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f145,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ in(X3,X1)
| ~ relstr_set_smaller(X0,X2,X3) )
& finite(X2)
& ? [X4] :
( element(X4,the_carrier(X0))
& in(X4,X1)
& relstr_set_smaller(X0,empty_set,X4) )
& ! [X5,X6] :
( ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,set_union2(X6,singleton(X5)),X7) )
| ~ in(X5,X2)
| ~ subset(X6,X2)
| ! [X8] :
( ~ element(X8,the_carrier(X0))
| ~ in(X8,X1)
| ~ relstr_set_smaller(X0,X6,X8) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(rectify,[],[f98]) ).
fof(f147,plain,
( ! [X3] :
( ~ element(X3,the_carrier(sK0))
| ~ in(X3,sK1)
| ~ relstr_set_smaller(sK0,sK2,X3) )
& finite(sK2)
& element(sK3,the_carrier(sK0))
& in(sK3,sK1)
& relstr_set_smaller(sK0,empty_set,sK3)
& ! [X5,X6] :
( ( element(sK4(X5,X6),the_carrier(sK0))
& in(sK4(X5,X6),sK1)
& relstr_set_smaller(sK0,set_union2(X6,singleton(X5)),sK4(X5,X6)) )
| ~ in(X5,sK2)
| ~ subset(X6,sK2)
| ! [X8] :
( ~ element(X8,the_carrier(sK0))
| ~ in(X8,sK1)
| ~ relstr_set_smaller(sK0,X6,X8) ) )
& ~ empty_carrier(sK0)
& transitive_relstr(sK0)
& rel_str(sK0)
& element(sK1,powerset(the_carrier(sK0)))
& finite(sK2)
& element(sK2,powerset(sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X4,sK3),skolemize(X7,sK4(X5,X6))],[f146]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) ) )
& ( ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) )
| ~ in(X4,X3) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(nnf_transformation,[],[f115]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) ) )
& ( ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) )
| ~ in(X4,X3) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) ) )
& ( ( in(X4,powerset(X2))
& ? [X7] :
( X4 = X7
& ? [X8] :
( element(X8,the_carrier(X0))
& in(X8,X1)
& relstr_set_smaller(X0,X7,X8) ) ) )
| ~ in(X4,X3) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(rectify,[],[f158]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK14(X0,X1,X2))
| ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) ) )
& ( ( in(X4,powerset(X2))
& sK15(X0,X1,X4) = X4
& element(sK16(X0,X1,X4),the_carrier(X0))
& in(sK16(X0,X1,X4),X1)
& relstr_set_smaller(X0,sK15(X0,X1,X4),sK16(X0,X1,X4)) )
| ~ in(X4,sK14(X0,X1,X2)) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X3,sK14(X0,X1,X2)),skolemize(X7,sK15(X0,X1,X4)),skolemize(X8,sK16(X0,X1,X4))],[f159]) ).
fof(f161,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f162,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f161]) ).
fof(f163,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,[],[f127]) ).
fof(f164,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,[],[f163]) ).
fof(f165,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK17(X0,X1),X1)
& in(sK17(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X2,sK17(X0,X1))],[f164]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( empty_set = X1
| ( in(sK32(X1),X1)
& ! [X3] :
( sK32(X1) = X3
| ~ in(X3,X1)
| ~ subset(sK32(X1),X3) ) )
| ~ element(X1,powerset(powerset(X0))) )
| ~ finite(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X2,sK32(X1))],[f134]) ).
fof(f185,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f186,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f187,plain,
element(sK2,powerset(sK1)),
inference(cnf_transformation,[],[f147]) ).
fof(f188,plain,
finite(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f189,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f147]) ).
fof(f190,plain,
rel_str(sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f191,plain,
transitive_relstr(sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f192,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f193,plain,
! [X8,X6,X5] :
( relstr_set_smaller(sK0,set_union2(X6,singleton(X5)),sK4(X5,X6))
| ~ in(X5,sK2)
| ~ subset(X6,sK2)
| ~ element(X8,the_carrier(sK0))
| ~ in(X8,sK1)
| ~ relstr_set_smaller(sK0,X6,X8) ),
inference(cnf_transformation,[],[f147]) ).
fof(f194,plain,
! [X8,X6,X5] :
( in(sK4(X5,X6),sK1)
| ~ in(X5,sK2)
| ~ subset(X6,sK2)
| ~ element(X8,the_carrier(sK0))
| ~ in(X8,sK1)
| ~ relstr_set_smaller(sK0,X6,X8) ),
inference(cnf_transformation,[],[f147]) ).
fof(f196,plain,
relstr_set_smaller(sK0,empty_set,sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f197,plain,
in(sK3,sK1),
inference(cnf_transformation,[],[f147]) ).
fof(f200,plain,
! [X3] :
( ~ relstr_set_smaller(sK0,sK2,X3)
| ~ in(X3,sK1)
| ~ element(X3,the_carrier(sK0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f223,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f17]) ).
fof(f232,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f235,plain,
! [X2,X0,X1,X4] :
( relstr_set_smaller(X0,sK15(X0,X1,X4),sK16(X0,X1,X4))
| ~ in(X4,sK14(X0,X1,X2))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f236,plain,
! [X2,X0,X1,X4] :
( in(sK16(X0,X1,X4),X1)
| ~ in(X4,sK14(X0,X1,X2))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f238,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK14(X0,X1,X2))
| sK15(X0,X1,X4) = X4
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f239,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK14(X0,X1,X2))
| in(X4,powerset(X2))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f240,plain,
! [X2,X0,X1,X6,X4,X5] :
( in(X4,sK14(X0,X1,X2))
| ~ in(X4,powerset(X2))
| X4 != X5
| ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f257,plain,
! [X0,X1] :
( subset(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f259,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f260,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f261,plain,
! [X0,X1] :
( in(sK17(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f262,plain,
! [X0,X1] :
( ~ in(sK17(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f282,plain,
empty(empty_set),
inference(cnf_transformation,[],[f53]) ).
fof(f322,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| sK32(X1) = X3
| ~ in(X3,X1)
| ~ subset(sK32(X1),X3)
| empty_set = X1
| ~ finite(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f323,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| in(sK32(X1),X1)
| empty_set = X1
| ~ finite(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f325,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f326,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f327,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f70]) ).
fof(f330,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f331,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f333,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f334,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f338,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f339,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f340,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f80]) ).
fof(f342,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f343,plain,
! [X2,X0,X1,X6,X5] :
( in(X5,sK14(X0,X1,X2))
| ~ in(X5,powerset(X2))
| ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(equality_resolution,[],[f240]) ).
fof(f345,plain,
! [X1] : subset(X1,X1),
inference(equality_resolution,[],[f257]) ).
fof(f349,plain,
! [X2,X0,X1,X6,X5] :
( in(X5,sK14(X0,X1,X2))
| ~ in(X5,powerset(X2))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(forward_subsumption_resolution,[],[f343,f336]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( in(sK17(sK14(X0,X1,X2),X3),powerset(X2))
| subset(sK14(X0,X1,X2),X3)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(resolution,[],[f261,f239]) ).
fof(f376,plain,
! [X0] :
( element(X0,the_carrier(sK0))
| ~ in(X0,sK1) ),
inference(resolution,[],[f336,f189]) ).
fof(f378,plain,
! [X3] :
( ~ relstr_set_smaller(sK0,sK2,X3)
| ~ in(X3,sK1) ),
inference(backward_subsumption_resolution,[],[f200,f376]) ).
fof(f379,plain,
! [X8,X6,X5] :
( in(sK4(X5,X6),sK1)
| ~ in(X5,sK2)
| ~ subset(X6,sK2)
| ~ in(X8,sK1)
| ~ relstr_set_smaller(sK0,X6,X8) ),
inference(backward_subsumption_resolution,[],[f194,f376]) ).
fof(f380,plain,
! [X8,X6,X5] :
( relstr_set_smaller(sK0,set_union2(X6,singleton(X5)),sK4(X5,X6))
| ~ in(X5,sK2)
| ~ subset(X6,sK2)
| ~ in(X8,sK1)
| ~ relstr_set_smaller(sK0,X6,X8) ),
inference(backward_subsumption_resolution,[],[f193,f376]) ).
fof(f388,plain,
! [X0] : in(X0,singleton(X0)),
inference(resolution,[],[f345,f330]) ).
fof(f392,plain,
! [X0] : element(X0,powerset(X0)),
inference(unit_resulting_resolution,[],[f334,f345]) ).
fof(f395,plain,
! [X0,X1] :
( ~ subset(X0,powerset(X1))
| in(sK32(X0),X0)
| empty_set = X0
| ~ finite(X1) ),
inference(resolution,[],[f334,f323]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ subset(sK32(X0),X1)
| ~ in(X1,X0)
| sK32(X0) = X1
| empty_set = X0
| ~ finite(X2)
| ~ subset(X0,powerset(X2)) ),
inference(resolution,[],[f322,f334]) ).
fof(f479,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(unit_resulting_resolution,[],[f334,f327]) ).
fof(f529,plain,
! [X2,X0,X1] :
( relstr_set_smaller(sK0,set_union2(singleton(X0),X1),sK4(X0,X1))
| ~ in(X0,sK2)
| ~ subset(X1,sK2)
| ~ in(X2,sK1)
| ~ relstr_set_smaller(sK0,X1,X2) ),
inference(superposition,[],[f380,f223]) ).
fof(f530,plain,
! [X0,X1] : subset(X1,set_union2(X0,X1)),
inference(superposition,[],[f340,f223]) ).
fof(f790,plain,
! [X2,X3,X0,X1] :
( ~ in(X2,sK14(X0,X1,X3))
| element(sK16(X0,X1,X2),X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X3)
| ~ element(X3,powerset(X1)) ),
inference(resolution,[],[f325,f236]) ).
fof(f904,plain,
! [X2,X0,X1] :
( subset(sK14(X0,X1,X2),powerset(X2))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1))
| subset(sK14(X0,X1,X2),powerset(X2)) ),
inference(resolution,[],[f371,f262]) ).
fof(f906,plain,
! [X2,X0,X1] :
( subset(sK14(X0,X1,X2),powerset(X2))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(duplicate_literal_removal,[],[f904]) ).
fof(f907,plain,
subset(sK14(sK0,sK1,sK2),powerset(sK2)),
inference(unit_resulting_resolution,[],[f906,f191,f188,f192,f190,f187,f189]) ).
fof(f911,plain,
element(sK14(sK0,sK1,sK2),powerset(powerset(sK2))),
inference(unit_resulting_resolution,[],[f334,f907]) ).
fof(f1181,plain,
( in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(sK2) ),
inference(resolution,[],[f395,f907]) ).
fof(f1183,plain,
( in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1181,f188]) ).
fof(f1184,plain,
( empty_set = sK14(sK0,sK1,sK2)
| sK32(sK14(sK0,sK1,sK2)) = sK15(sK0,sK1,sK32(sK14(sK0,sK1,sK2)))
| empty_carrier(sK0)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(resolution,[],[f1183,f238]) ).
fof(f1185,plain,
( empty_set = sK14(sK0,sK1,sK2)
| in(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| empty_carrier(sK0)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(resolution,[],[f1183,f239]) ).
fof(f1186,plain,
( element(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f1183,f325]) ).
fof(f1187,plain,
( empty_set = sK14(sK0,sK1,sK2)
| in(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1185,f192]) ).
fof(f1188,plain,
( empty_set = sK14(sK0,sK1,sK2)
| sK32(sK14(sK0,sK1,sK2)) = sK15(sK0,sK1,sK32(sK14(sK0,sK1,sK2)))
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1184,f192]) ).
fof(f1189,plain,
( empty_set = sK14(sK0,sK1,sK2)
| in(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1187,f191]) ).
fof(f1190,plain,
( empty_set = sK14(sK0,sK1,sK2)
| sK32(sK14(sK0,sK1,sK2)) = sK15(sK0,sK1,sK32(sK14(sK0,sK1,sK2)))
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1188,f191]) ).
fof(f1191,plain,
( empty_set = sK14(sK0,sK1,sK2)
| in(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1189,f190]) ).
fof(f1192,plain,
( empty_set = sK14(sK0,sK1,sK2)
| sK32(sK14(sK0,sK1,sK2)) = sK15(sK0,sK1,sK32(sK14(sK0,sK1,sK2)))
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1190,f190]) ).
fof(f1193,plain,
( empty_set = sK14(sK0,sK1,sK2)
| in(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1191,f189]) ).
fof(f1194,plain,
( empty_set = sK14(sK0,sK1,sK2)
| sK32(sK14(sK0,sK1,sK2)) = sK15(sK0,sK1,sK32(sK14(sK0,sK1,sK2)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1192,f189]) ).
fof(f1195,plain,
( empty_set = sK14(sK0,sK1,sK2)
| in(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1193,f188]) ).
fof(f1196,plain,
( empty_set = sK14(sK0,sK1,sK2)
| sK32(sK14(sK0,sK1,sK2)) = sK15(sK0,sK1,sK32(sK14(sK0,sK1,sK2)))
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f1194,f188]) ).
fof(f1197,plain,
( in(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1195,f187]) ).
fof(f1198,plain,
( sK32(sK14(sK0,sK1,sK2)) = sK15(sK0,sK1,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1196,f187]) ).
fof(f1199,plain,
! [X0] :
( relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))))
| ~ in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,X0))
| empty_carrier(sK0)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(superposition,[],[f235,f1198]) ).
fof(f1200,plain,
! [X0] :
( relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))))
| ~ in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,X0))
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1199,f192]) ).
fof(f1201,plain,
! [X0] :
( relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))))
| ~ in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,X0))
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1200,f191]) ).
fof(f1202,plain,
! [X0] :
( relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))))
| ~ in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,X0))
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1201,f190]) ).
fof(f1203,plain,
! [X0] :
( relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))))
| ~ in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,X0))
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1202,f189]) ).
fof(f1204,plain,
( element(sK32(sK14(sK0,sK1,sK2)),powerset(sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f1197,f325]) ).
fof(f1208,plain,
( subset(sK32(sK14(sK0,sK1,sK2)),sK2)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f1204,f333]) ).
fof(f1210,plain,
! [X0] :
( empty_set = sK14(sK0,sK1,sK2)
| ~ in(sK2,sK14(sK0,sK1,sK2))
| sK2 = sK32(sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(X0)
| ~ subset(sK14(sK0,sK1,sK2),powerset(X0)) ),
inference(resolution,[],[f1208,f399]) ).
fof(f1212,plain,
( ~ subset(sK2,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| sK2 = sK32(sK14(sK0,sK1,sK2)) ),
inference(resolution,[],[f1208,f259]) ).
fof(f1213,plain,
! [X0] :
( ~ subset(sK14(sK0,sK1,sK2),powerset(X0))
| ~ in(sK2,sK14(sK0,sK1,sK2))
| sK2 = sK32(sK14(sK0,sK1,sK2))
| ~ finite(X0)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(duplicate_literal_removal,[],[f1210]) ).
fof(f1214,plain,
( ~ in(sK2,sK14(sK0,sK1,sK2))
| sK2 = sK32(sK14(sK0,sK1,sK2))
| ~ finite(sK2)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f1213,f907]) ).
fof(f1219,plain,
( sK2 = sK32(sK14(sK0,sK1,sK2))
| ~ in(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1214,f188]) ).
fof(f1224,plain,
! [X0] :
( relstr_set_smaller(sK0,sK2,sK16(sK0,sK1,sK2))
| ~ in(sK2,sK14(sK0,sK1,X0))
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(superposition,[],[f1203,f1219]) ).
fof(f1233,plain,
! [X0] :
( relstr_set_smaller(sK0,sK2,sK16(sK0,sK1,sK2))
| ~ in(sK2,sK14(sK0,sK1,X0))
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(sK2,sK14(sK0,sK1,sK2)) ),
inference(duplicate_literal_removal,[],[f1224]) ).
fof(f1242,plain,
! [X0] :
( ~ in(sK16(sK0,sK1,sK2),sK1)
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(sK2,sK14(sK0,sK1,sK2))
| ~ in(sK2,sK14(sK0,sK1,X0)) ),
inference(resolution,[],[f1233,f378]) ).
fof(f1245,plain,
! [X0] :
( ~ in(sK2,sK14(sK0,sK1,sK2))
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(X0)
| ~ in(sK2,sK14(sK0,sK1,X0))
| empty(sK1)
| ~ element(sK16(sK0,sK1,sK2),sK1) ),
inference(resolution,[],[f1242,f326]) ).
fof(f1402,plain,
~ empty(sK1),
inference(unit_resulting_resolution,[],[f337,f197,f392]) ).
fof(f1415,plain,
! [X0] :
( ~ in(sK2,sK14(sK0,sK1,sK2))
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(X0)
| ~ in(sK2,sK14(sK0,sK1,X0))
| ~ element(sK16(sK0,sK1,sK2),sK1) ),
inference(backward_subsumption_resolution,[],[f1245,f1402]) ).
fof(f1437,plain,
! [X2,X3,X0,X1,X4] :
( ~ empty(sK14(X0,X1,X2))
| ~ in(X3,powerset(X2))
| ~ in(X4,X1)
| ~ relstr_set_smaller(X0,X3,X4)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(resolution,[],[f339,f349]) ).
fof(f1480,plain,
! [X0] : in(empty_set,powerset(X0)),
inference(unit_resulting_resolution,[],[f326,f232,f479]) ).
fof(f1867,plain,
( element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| empty_carrier(sK0)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f790,f1183]) ).
fof(f1869,plain,
( element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1867,f192]) ).
fof(f1870,plain,
( element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1869,f191]) ).
fof(f1871,plain,
( element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1870,f190]) ).
fof(f1872,plain,
( element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1871,f189]) ).
fof(f1873,plain,
( element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1872,f188]) ).
fof(f1874,plain,
( element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f1873,f187]) ).
fof(f1876,plain,
( element(sK16(sK0,sK1,sK2),sK1)
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(superposition,[],[f1874,f1219]) ).
fof(f1877,plain,
( ~ in(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2)
| element(sK16(sK0,sK1,sK2),sK1) ),
inference(duplicate_literal_removal,[],[f1876]) ).
fof(f1878,plain,
! [X0] :
( ~ in(sK2,sK14(sK0,sK1,sK2))
| ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(X0)
| ~ in(sK2,sK14(sK0,sK1,X0)) ),
inference(backward_subsumption_resolution,[],[f1415,f1877]) ).
fof(f1880,plain,
! [X0] :
( ~ element(X0,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(X0)
| ~ in(sK2,sK14(sK0,sK1,X0))
| empty(sK14(sK0,sK1,sK2))
| ~ element(sK2,sK14(sK0,sK1,sK2)) ),
inference(resolution,[],[f1878,f326]) ).
fof(f1883,plain,
! [X0] :
( ~ in(sK2,sK14(sK0,sK1,X0))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(X0)
| ~ element(X0,powerset(sK1))
| ~ element(sK2,sK14(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f1880,f338]) ).
fof(f2815,plain,
! [X0] :
( sK32(sK14(sK0,sK1,sK2)) = X0
| ~ in(X0,sK14(sK0,sK1,sK2))
| ~ subset(sK32(sK14(sK0,sK1,sK2)),X0)
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(sK2) ),
inference(resolution,[],[f911,f322]) ).
fof(f2822,plain,
! [X0] :
( ~ subset(sK32(sK14(sK0,sK1,sK2)),X0)
| ~ in(X0,sK14(sK0,sK1,sK2))
| sK32(sK14(sK0,sK1,sK2)) = X0
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f2815,f188]) ).
fof(f2826,plain,
! [X0] :
( sK32(sK14(sK0,sK1,sK2)) = set_union2(X0,sK32(sK14(sK0,sK1,sK2)))
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f2822,f530]) ).
fof(f2883,plain,
! [X0] :
( ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),sK14(sK0,sK1,sK2))
| subset(X0,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(superposition,[],[f340,f2826]) ).
fof(f2905,plain,
! [X0,X1] :
( subset(X0,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,set_union2(X0,sK32(sK14(sK0,sK1,sK2))),X1)
| empty_carrier(sK0)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(resolution,[],[f2883,f349]) ).
fof(f2924,plain,
! [X0,X1] :
( subset(X0,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,set_union2(X0,sK32(sK14(sK0,sK1,sK2))),X1)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f2905,f192]) ).
fof(f2925,plain,
! [X0,X1] :
( subset(X0,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,set_union2(X0,sK32(sK14(sK0,sK1,sK2))),X1)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f2924,f191]) ).
fof(f2926,plain,
! [X0,X1] :
( subset(X0,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,set_union2(X0,sK32(sK14(sK0,sK1,sK2))),X1)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f2925,f190]) ).
fof(f2927,plain,
! [X0,X1] :
( subset(X0,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,set_union2(X0,sK32(sK14(sK0,sK1,sK2))),X1)
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f2926,f189]) ).
fof(f2928,plain,
! [X0,X1] :
( subset(X0,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,set_union2(X0,sK32(sK14(sK0,sK1,sK2))),X1)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f2927,f188]) ).
fof(f2929,plain,
! [X0,X1] :
( ~ relstr_set_smaller(sK0,set_union2(X0,sK32(sK14(sK0,sK1,sK2))),X1)
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(X0,sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(X1,sK1)
| subset(X0,sK32(sK14(sK0,sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f2928,f187]) ).
fof(f2931,plain,
! [X0,X1] :
( empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(singleton(X0),sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| ~ in(sK4(X0,sK32(sK14(sK0,sK1,sK2))),sK1)
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ in(X0,sK2)
| ~ subset(sK32(sK14(sK0,sK1,sK2)),sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1) ),
inference(resolution,[],[f2929,f529]) ).
fof(f2952,plain,
! [X0,X1] :
( empty_set = sK14(sK0,sK1,sK2)
| ~ in(set_union2(singleton(X0),sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ in(X0,sK2)
| ~ subset(sK32(sK14(sK0,sK1,sK2)),sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1) ),
inference(forward_subsumption_resolution,[],[f2931,f379]) ).
fof(f2957,plain,
! [X0,X1] :
( ~ in(set_union2(singleton(X0),sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| empty_set = sK14(sK0,sK1,sK2)
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ in(X0,sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1) ),
inference(forward_subsumption_resolution,[],[f2952,f1208]) ).
fof(f2959,plain,
! [X0,X1] :
( empty_set = sK14(sK0,sK1,sK2)
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ in(X0,sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1)
| empty(powerset(sK2))
| ~ element(set_union2(singleton(X0),sK32(sK14(sK0,sK1,sK2))),powerset(sK2)) ),
inference(resolution,[],[f2957,f326]) ).
fof(f2975,plain,
! [X0,X1] :
( ~ element(set_union2(singleton(X0),sK32(sK14(sK0,sK1,sK2))),powerset(sK2))
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ in(X0,sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f2959,f232]) ).
fof(f3183,plain,
! [X0,X1] :
( ~ subset(set_union2(singleton(X0),sK32(sK14(sK0,sK1,sK2))),sK2)
| ~ in(X0,sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1)
| empty_set = sK14(sK0,sK1,sK2)
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2))) ),
inference(resolution,[],[f2975,f334]) ).
fof(f3572,plain,
! [X0,X1] :
( ~ in(X0,sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1)
| empty_set = sK14(sK0,sK1,sK2)
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ subset(singleton(X0),sK2)
| ~ subset(sK32(sK14(sK0,sK1,sK2)),sK2) ),
inference(resolution,[],[f3183,f342]) ).
fof(f3591,plain,
! [X0,X1] :
( ~ in(X0,sK2)
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1)
| empty_set = sK14(sK0,sK1,sK2)
| subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ subset(sK32(sK14(sK0,sK1,sK2)),sK2) ),
inference(forward_subsumption_resolution,[],[f3572,f331]) ).
fof(f3592,plain,
! [X0,X1] :
( subset(singleton(X0),sK32(sK14(sK0,sK1,sK2)))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X1)
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f3591,f1208]) ).
fof(f3597,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(sK0,sK32(sK14(sK0,sK1,sK2)),X0)
| ~ in(X0,sK1)
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(X1,sK2)
| ~ in(X2,singleton(X1))
| in(X2,sK32(sK14(sK0,sK1,sK2))) ),
inference(resolution,[],[f3592,f260]) ).
fof(f3615,plain,
! [X2,X0,X1] :
( ~ in(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| ~ in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,X2))
| ~ finite(X2)
| ~ element(X2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f3597,f1203]) ).
fof(f3628,plain,
! [X2,X0,X1] :
( ~ in(sK32(sK14(sK0,sK1,sK2)),sK14(sK0,sK1,X2))
| empty_set = sK14(sK0,sK1,sK2)
| ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| ~ in(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ finite(X2)
| ~ element(X2,powerset(sK1)) ),
inference(duplicate_literal_removal,[],[f3615]) ).
fof(f3637,plain,
! [X0,X1] :
( empty_set = sK14(sK0,sK1,sK2)
| ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| ~ in(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f3628,f1183]) ).
fof(f3647,plain,
! [X0,X1] :
( empty_set = sK14(sK0,sK1,sK2)
| ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| ~ in(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(duplicate_literal_removal,[],[f3637]) ).
fof(f3649,plain,
! [X0,X1] :
( empty_set = sK14(sK0,sK1,sK2)
| ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| ~ in(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f3647,f188]) ).
fof(f3651,plain,
! [X0,X1] :
( ~ in(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1)
| ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f3649,f187]) ).
fof(f3655,plain,
! [X0,X1] :
( ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| empty(sK1)
| ~ element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1) ),
inference(resolution,[],[f3651,f326]) ).
fof(f3660,plain,
! [X0,X1] :
( ~ in(X0,sK2)
| ~ in(X1,singleton(X0))
| in(X1,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2)
| ~ element(sK16(sK0,sK1,sK32(sK14(sK0,sK1,sK2))),sK1) ),
inference(forward_subsumption_resolution,[],[f3655,f1402]) ).
fof(f3662,plain,
! [X0,X1] :
( in(X1,sK32(sK14(sK0,sK1,sK2)))
| ~ in(X1,singleton(X0))
| ~ in(X0,sK2)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f3660,f1874]) ).
fof(f3669,plain,
! [X0,X1] :
( ~ in(sK17(X0,sK32(sK14(sK0,sK1,sK2))),singleton(X1))
| ~ in(X1,sK2)
| empty_set = sK14(sK0,sK1,sK2)
| subset(X0,sK32(sK14(sK0,sK1,sK2))) ),
inference(resolution,[],[f3662,f262]) ).
fof(f3676,plain,
! [X0] :
( ~ in(sK17(X0,sK32(sK14(sK0,sK1,sK2))),sK2)
| empty_set = sK14(sK0,sK1,sK2)
| subset(X0,sK32(sK14(sK0,sK1,sK2))) ),
inference(resolution,[],[f3669,f388]) ).
fof(f3757,plain,
( empty_set = sK14(sK0,sK1,sK2)
| subset(sK2,sK32(sK14(sK0,sK1,sK2)))
| subset(sK2,sK32(sK14(sK0,sK1,sK2))) ),
inference(resolution,[],[f3676,f261]) ).
fof(f3765,plain,
( subset(sK2,sK32(sK14(sK0,sK1,sK2)))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(duplicate_literal_removal,[],[f3757]) ).
fof(f3767,plain,
( sK2 = sK32(sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(backward_subsumption_resolution,[],[f1212,f3765]) ).
fof(f3777,plain,
( in(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(superposition,[],[f1183,f3767]) ).
fof(f3778,plain,
( element(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2)
| empty_set = sK14(sK0,sK1,sK2) ),
inference(superposition,[],[f1186,f3767]) ).
fof(f3903,plain,
( element(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(duplicate_literal_removal,[],[f3778]) ).
fof(f3904,plain,
( in(sK2,sK14(sK0,sK1,sK2))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(duplicate_literal_removal,[],[f3777]) ).
fof(f3913,plain,
! [X0] :
( ~ in(sK2,sK14(sK0,sK1,X0))
| empty_set = sK14(sK0,sK1,sK2)
| ~ finite(X0)
| ~ element(X0,powerset(sK1)) ),
inference(backward_subsumption_resolution,[],[f1883,f3903]) ).
fof(f3976,plain,
( empty_set = sK14(sK0,sK1,sK2)
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1))
| empty_set = sK14(sK0,sK1,sK2) ),
inference(resolution,[],[f3913,f3904]) ).
fof(f3982,plain,
( empty_set = sK14(sK0,sK1,sK2)
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(duplicate_literal_removal,[],[f3976]) ).
fof(f3983,plain,
( empty_set = sK14(sK0,sK1,sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f3982,f188]) ).
fof(f3984,plain,
empty_set = sK14(sK0,sK1,sK2),
inference(forward_subsumption_resolution,[],[f3983,f187]) ).
fof(f4014,plain,
! [X0,X1] :
( ~ empty(empty_set)
| ~ in(X0,powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,X0,X1)
| empty_carrier(sK0)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(superposition,[],[f1437,f3984]) ).
fof(f4033,plain,
! [X0,X1] :
( ~ in(X0,powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,X0,X1)
| empty_carrier(sK0)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f4014,f282]) ).
fof(f4046,plain,
! [X0,X1] :
( ~ in(X0,powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,X0,X1)
| ~ transitive_relstr(sK0)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f4033,f192]) ).
fof(f4059,plain,
! [X0,X1] :
( ~ in(X0,powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,X0,X1)
| ~ rel_str(sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f4046,f191]) ).
fof(f4072,plain,
! [X0,X1] :
( ~ in(X0,powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,X0,X1)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f4059,f190]) ).
fof(f4085,plain,
! [X0,X1] :
( ~ in(X0,powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,X0,X1)
| ~ finite(sK2)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f4072,f189]) ).
fof(f4097,plain,
! [X0,X1] :
( ~ in(X0,powerset(sK2))
| ~ in(X1,sK1)
| ~ relstr_set_smaller(sK0,X0,X1)
| ~ element(sK2,powerset(sK1)) ),
inference(forward_subsumption_resolution,[],[f4085,f188]) ).
fof(f4104,plain,
! [X0,X1] :
( ~ relstr_set_smaller(sK0,X0,X1)
| ~ in(X1,sK1)
| ~ in(X0,powerset(sK2)) ),
inference(forward_subsumption_resolution,[],[f4097,f187]) ).
fof(f4119,plain,
~ in(empty_set,powerset(sK2)),
inference(unit_resulting_resolution,[],[f4104,f196,f197]) ).
fof(f4152,plain,
$false,
inference(forward_subsumption_resolution,[],[f4119,f1480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU365+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.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 04:59:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.06/2.41 % (4157597)Detected formulas, will run a generic FOF schedule.
% 11.06/2.41 % (4157605)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1090712053:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.06/2.41 % (4157605)Refutation not found, incomplete strategy
% 11.06/2.41 % (4157605)------------------------------
% 11.06/2.41 % (4157605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.41 % (4157605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.41 % (4157605)CaDiCaL version: 2.1.3
% 11.06/2.41 % (4157605)Termination reason: Refutation not found, incomplete strategy
% 11.06/2.41 % (4157605)Time elapsed: 0.006 s
% 11.06/2.41 % (4157605)Peak memory usage: 89 MB
% 11.06/2.41 % (4157605)Instructions burned: 15 (million)
% 11.06/2.41 % (4157606)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2659575049:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.06/2.41 % (4157602)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=2002748881:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.06/2.41 % (4157604)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=3690074842:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.06/2.41 % (4157608)dis-21_1_sil=8000:lcm=predicate:random_seed=1535020271: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)
% 11.06/2.41 % (4157603)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=3574979365:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.06/2.41 % (4157607)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2699859012:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.06/2.41 % (4157608)Instruction limit reached!
% 11.06/2.41 % (4157608)------------------------------
% 11.06/2.41 % (4157608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.41 % (4157608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.41 % (4157608)CaDiCaL version: 2.1.3
% 11.06/2.41 % (4157608)Termination reason: Instruction limit
% 11.06/2.41 % (4157608)Termination phase: Saturation
% 11.06/2.41 % (4157608)Time elapsed: 0.075 s
% 11.06/2.41 % (4157608)Peak memory usage: 89 MB
% 11.06/2.41 % (4157608)Instructions burned: 129 (million)
% 11.06/2.41 % (4157606)Instruction limit reached!
% 11.06/2.41 % (4157606)------------------------------
% 11.06/2.41 % (4157606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.41 % (4157606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.41 % (4157606)CaDiCaL version: 2.1.3
% 11.06/2.41 % (4157606)Termination reason: Instruction limit
% 11.06/2.41 % (4157606)Termination phase: Saturation
% 11.06/2.41 % (4157606)Time elapsed: 0.078 s
% 11.06/2.41 % (4157606)Peak memory usage: 88 MB
% 11.06/2.41 % (4157606)Instructions burned: 120 (million)
% 11.06/2.41 % (4157607)Instruction limit reached!
% 11.06/2.41 % (4157607)------------------------------
% 11.06/2.41 % (4157607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.41 % (4157607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.41 % (4157607)CaDiCaL version: 2.1.3
% 11.06/2.41 % (4157607)Termination reason: Instruction limit
% 11.06/2.41 % (4157607)Termination phase: Saturation
% 11.06/2.41 % (4157607)Time elapsed: 0.103 s
% 11.06/2.41 % (4157607)Peak memory usage: 90 MB
% 11.06/2.41 % (4157607)Instructions burned: 140 (million)
% 11.06/2.41 % (4157605)------------------------------
% 11.06/2.41 % (4157605)------------------------------
% 11.06/2.41 % (4157619)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=4281836322:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.06/2.41 % (4157616)lrs+10_1_sil=8000:sp=occurrence:random_seed=3564742078:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.06/2.41 % (4157617)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2799857037:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.06/2.41 % (4157618)lrs+1011_1_sil=32000:sp=occurrence:random_seed=757303272:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.46/3.51 % (4157619)Instruction limit reached!
% 18.46/3.51 % (4157619)------------------------------
% 18.46/3.51 % (4157619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.51 % (4157619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (4157619)CaDiCaL version: 2.1.3
% 18.46/3.51 % (4157619)Termination reason: Instruction limit
% 18.46/3.51 % (4157619)Termination phase: Saturation
% 18.46/3.51 % (4157619)Time elapsed: 0.078 s
% 18.46/3.51 % (4157619)Peak memory usage: 92 MB
% 18.46/3.51 % (4157619)Instructions burned: 251 (million)
% 18.46/3.51 % (4157617)Instruction limit reached!
% 18.46/3.51 % (4157617)------------------------------
% 18.46/3.51 % (4157617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.51 % (4157617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (4157617)CaDiCaL version: 2.1.3
% 18.46/3.51 % (4157617)Termination reason: Instruction limit
% 18.46/3.51 % (4157617)Termination phase: Saturation
% 18.46/3.51 % (4157617)Time elapsed: 0.091 s
% 18.46/3.51 % (4157617)Peak memory usage: 90 MB
% 18.46/3.51 % (4157617)Instructions burned: 157 (million)
% 18.46/3.51 % (4157624)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1413183414:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.46/3.51 % (4157616)Instruction limit reached!
% 18.46/3.51 % (4157616)------------------------------
% 18.46/3.51 % (4157616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.51 % (4157616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (4157616)CaDiCaL version: 2.1.3
% 18.46/3.51 % (4157616)Termination reason: Instruction limit
% 18.46/3.51 % (4157616)Termination phase: Saturation
% 18.46/3.51 % (4157616)Time elapsed: 0.183 s
% 18.46/3.51 % (4157616)Peak memory usage: 92 MB
% 18.46/3.51 % (4157616)Instructions burned: 286 (million)
% 18.46/3.51 % (4157625)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3497216767:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.46/3.51 % (4157624)Instruction limit reached!
% 18.46/3.51 % (4157624)------------------------------
% 18.46/3.51 % (4157624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.51 % (4157624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (4157624)CaDiCaL version: 2.1.3
% 18.46/3.51 % (4157624)Termination reason: Instruction limit
% 18.46/3.51 % (4157624)Termination phase: Saturation
% 18.46/3.51 % (4157624)Time elapsed: 0.099 s
% 18.46/3.51 % (4157624)Peak memory usage: 90 MB
% 18.46/3.51 % (4157624)Instructions burned: 295 (million)
% 18.46/3.51 % (4157618)Instruction limit reached!
% 18.46/3.51 % (4157618)------------------------------
% 18.46/3.51 % (4157618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.51 % (4157618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (4157618)CaDiCaL version: 2.1.3
% 18.46/3.51 % (4157618)Termination reason: Instruction limit
% 18.46/3.51 % (4157618)Termination phase: Saturation
% 18.46/3.51 % (4157618)Time elapsed: 0.235 s
% 18.46/3.51 % (4157618)Peak memory usage: 91 MB
% 18.46/3.51 % (4157618)Instructions burned: 326 (million)
% 18.46/3.51 % (4157627)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3032778809:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.46/3.51 % (4157629)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=950017456:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.46/3.51 % (4157629)Instruction limit reached!
% 18.46/3.51 % (4157629)------------------------------
% 18.46/3.51 % (4157629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.51 % (4157629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (4157629)CaDiCaL version: 2.1.3
% 18.46/3.51 % (4157629)Termination reason: Instruction limit
% 18.46/3.51 % (4157629)Termination phase: Saturation
% 18.46/3.51 % (4157629)Time elapsed: 0.037 s
% 18.46/3.51 % (4157629)Peak memory usage: 89 MB
% 18.46/3.51 % (4157629)Instructions burned: 129 (million)
% 18.46/3.51 % (4157627)Instruction limit reached!
% 18.46/3.51 % (4157627)------------------------------
% 18.46/3.51 % (4157627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.51 % (4157627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.51 % (4157627)CaDiCaL version: 2.1.3
% 43.15/7.00 % (4157627)Termination reason: Instruction limit
% 43.15/7.00 % (4157627)Termination phase: Saturation
% 43.15/7.00 % (4157627)Time elapsed: 0.074 s
% 43.15/7.00 % (4157627)Peak memory usage: 89 MB
% 43.15/7.00 % (4157627)Instructions burned: 114 (million)
% 43.15/7.00 % (4157630)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4026857826:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 43.15/7.00 % (4157634)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3688295708:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 43.15/7.00 % (4157630)Instruction limit reached!
% 43.15/7.00 % (4157630)------------------------------
% 43.15/7.00 % (4157630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.15/7.00 % (4157630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.15/7.00 % (4157630)CaDiCaL version: 2.1.3
% 43.15/7.00 % (4157630)Termination reason: Instruction limit
% 43.15/7.00 % (4157630)Termination phase: Saturation
% 43.15/7.00 % (4157630)Time elapsed: 0.068 s
% 43.15/7.00 % (4157630)Peak memory usage: 89 MB
% 43.15/7.00 % (4157630)Instructions burned: 115 (million)
% 43.15/7.00 % (4157633)lrs+10_1_sil=8000:sp=occurrence:random_seed=3600840345:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 43.15/7.00 % (4157637)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=715586541:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 43.15/7.00 % (4157634)Instruction limit reached!
% 43.15/7.00 % (4157634)------------------------------
% 43.15/7.00 % (4157634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.15/7.00 % (4157634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.15/7.00 % (4157634)CaDiCaL version: 2.1.3
% 43.15/7.00 % (4157634)Termination reason: Instruction limit
% 43.15/7.00 % (4157634)Termination phase: Saturation
% 43.15/7.00 % (4157634)Time elapsed: 0.141 s
% 43.15/7.00 % (4157634)Peak memory usage: 90 MB
% 43.15/7.00 % (4157634)Instructions burned: 438 (million)
% 43.15/7.00 % (4157640)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=407609265:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 43.15/7.00 % (4157640)Instruction limit reached!
% 43.15/7.00 % (4157640)------------------------------
% 43.15/7.00 % (4157640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.15/7.00 % (4157640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.15/7.00 % (4157640)CaDiCaL version: 2.1.3
% 43.15/7.00 % (4157640)Termination reason: Instruction limit
% 43.15/7.00 % (4157640)Termination phase: Saturation
% 43.15/7.00 % (4157640)Time elapsed: 0.043 s
% 43.15/7.00 % (4157640)Peak memory usage: 91 MB
% 43.15/7.00 % (4157640)Instructions burned: 137 (million)
% 43.15/7.00 % (4157642)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=383755848:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 43.15/7.00 % (4157642)Instruction limit reached!
% 43.15/7.00 % (4157642)------------------------------
% 43.15/7.00 % (4157642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.15/7.00 % (4157642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.15/7.00 % (4157642)CaDiCaL version: 2.1.3
% 43.15/7.00 % (4157642)Termination reason: Instruction limit
% 43.15/7.00 % (4157642)Termination phase: Saturation
% 43.15/7.00 % (4157642)Time elapsed: 0.182 s
% 43.15/7.00 % (4157642)Peak memory usage: 95 MB
% 43.15/7.00 % (4157642)Instructions burned: 593 (million)
% 43.15/7.00 % (4157633)Instruction limit reached!
% 43.15/7.00 % (4157633)------------------------------
% 43.15/7.00 % (4157633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.15/7.00 % (4157633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.15/7.00 % (4157633)CaDiCaL version: 2.1.3
% 43.15/7.00 % (4157633)Termination reason: Instruction limit
% 43.15/7.00 % (4157633)Termination phase: Saturation
% 43.15/7.00 % (4157633)Time elapsed: 0.562 s
% 43.15/7.00 % (4157633)Peak memory usage: 99 MB
% 43.15/7.00 % (4157633)Instructions burned: 908 (million)
% 43.15/7.00 % (4157644)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=852598922:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 43.15/7.00 % (4157645)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=1916249392:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 80.40/12.14 % (4157645)Instruction limit reached!
% 80.40/12.14 % (4157645)------------------------------
% 80.40/12.14 % (4157645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.40/12.14 % (4157645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.40/12.14 % (4157645)CaDiCaL version: 2.1.3
% 80.40/12.14 % (4157645)Termination reason: Instruction limit
% 80.40/12.14 % (4157645)Termination phase: Saturation
% 80.40/12.14 % (4157645)Time elapsed: 0.078 s
% 80.40/12.14 % (4157645)Peak memory usage: 91 MB
% 80.40/12.14 % (4157645)Instructions burned: 126 (million)
% 80.40/12.14 % (4157648)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1048893849:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 80.40/12.14 % (4157648)Instruction limit reached!
% 80.40/12.14 % (4157648)------------------------------
% 80.40/12.14 % (4157648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.40/12.14 % (4157648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.40/12.14 % (4157648)CaDiCaL version: 2.1.3
% 80.40/12.14 % (4157648)Termination reason: Instruction limit
% 80.40/12.14 % (4157648)Termination phase: Saturation
% 80.40/12.14 % (4157648)Time elapsed: 0.080 s
% 80.40/12.14 % (4157648)Peak memory usage: 90 MB
% 80.40/12.14 % (4157648)Instructions burned: 136 (million)
% 80.40/12.14 % (4157664)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3590177724:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 80.40/12.14 % (4157664)Instruction limit reached!
% 80.40/12.14 % (4157664)------------------------------
% 80.40/12.14 % (4157664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.40/12.14 % (4157664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.40/12.14 % (4157664)CaDiCaL version: 2.1.3
% 80.40/12.14 % (4157664)Termination reason: Instruction limit
% 80.40/12.14 % (4157664)Termination phase: Saturation
% 80.40/12.14 % (4157664)Time elapsed: 0.074 s
% 80.40/12.14 % (4157664)Peak memory usage: 90 MB
% 80.40/12.14 % (4157664)Instructions burned: 141 (million)
% 80.40/12.14 % (4157625)Instruction limit reached!
% 80.40/12.14 % (4157625)------------------------------
% 80.40/12.14 % (4157625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.40/12.14 % (4157625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.40/12.14 % (4157625)CaDiCaL version: 2.1.3
% 80.40/12.14 % (4157625)Termination reason: Instruction limit
% 80.40/12.14 % (4157625)Termination phase: Saturation
% 80.40/12.14 % (4157625)Time elapsed: 1.586 s
% 80.40/12.14 % (4157625)Peak memory usage: 141 MB
% 80.40/12.14 % (4157625)Instructions burned: 2351 (million)
% 80.40/12.14 % (4157716)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2768726398:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 80.40/12.14 % (4157741)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=2880922770:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 80.40/12.14 % (4157716)Instruction limit reached!
% 80.40/12.14 % (4157716)------------------------------
% 80.40/12.14 % (4157716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.40/12.14 % (4157716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.40/12.14 % (4157716)CaDiCaL version: 2.1.3
% 80.40/12.14 % (4157716)Termination reason: Instruction limit
% 80.40/12.14 % (4157716)Termination phase: Saturation
% 80.40/12.14 % (4157716)Time elapsed: 0.250 s
% 80.40/12.14 % (4157716)Peak memory usage: 92 MB
% 80.40/12.14 % (4157716)Instructions burned: 432 (million)
% 80.40/12.14 % (4157743)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=638974132:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 80.40/12.14 % (4157743)Instruction limit reached!
% 80.40/12.14 % (4157743)------------------------------
% 80.40/12.14 % (4157743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.40/12.14 % (4157743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.40/12.14 % (4157743)CaDiCaL version: 2.1.3
% 80.40/12.14 % (4157743)Termination reason: Instruction limit
% 80.40/12.14 % (4157743)Termination phase: Saturation
% 104.86/15.62 % (4157743)Time elapsed: 0.093 s
% 104.86/15.62 % (4157743)Peak memory usage: 92 MB
% 104.86/15.62 % (4157743)Instructions burned: 150 (million)
% 104.86/15.62 % (4157745)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1320948982:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 104.86/15.62 % (4157637)Instruction limit reached!
% 104.86/15.62 % (4157637)------------------------------
% 104.86/15.62 % (4157637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.86/15.62 % (4157637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.86/15.62 % (4157637)CaDiCaL version: 2.1.3
% 104.86/15.62 % (4157637)Termination reason: Instruction limit
% 104.86/15.62 % (4157637)Termination phase: Saturation
% 104.86/15.62 % (4157637)Time elapsed: 3.217 s
% 104.86/15.62 % (4157637)Peak memory usage: 155 MB
% 104.86/15.62 % (4157637)Instructions burned: 5202 (million)
% 104.86/15.62 % (4157747)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1632904176:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 104.86/15.62 % (4157747)Instruction limit reached!
% 104.86/15.62 % (4157747)------------------------------
% 104.86/15.62 % (4157747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.86/15.62 % (4157747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.86/15.62 % (4157747)CaDiCaL version: 2.1.3
% 104.86/15.62 % (4157747)Termination reason: Instruction limit
% 104.86/15.62 % (4157747)Termination phase: Saturation
% 104.86/15.62 % (4157747)Time elapsed: 0.300 s
% 104.86/15.62 % (4157747)Peak memory usage: 96 MB
% 104.86/15.62 % (4157747)Instructions burned: 669 (million)
% 104.86/15.62 % (4157749)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=104618266:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 104.86/15.62 % (4157749)Instruction limit reached!
% 104.86/15.62 % (4157749)------------------------------
% 104.86/15.62 % (4157749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.86/15.62 % (4157749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.86/15.62 % (4157749)CaDiCaL version: 2.1.3
% 104.86/15.62 % (4157749)Termination reason: Instruction limit
% 104.86/15.62 % (4157749)Termination phase: Saturation
% 104.86/15.62 % (4157749)Time elapsed: 0.094 s
% 104.86/15.62 % (4157749)Peak memory usage: 91 MB
% 104.86/15.62 % (4157749)Instructions burned: 186 (million)
% 104.86/15.62 % (4157751)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3667704655:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 104.86/15.62 % (4157751)Instruction limit reached!
% 104.86/15.62 % (4157751)------------------------------
% 104.86/15.62 % (4157751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.86/15.62 % (4157751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.86/15.62 % (4157751)CaDiCaL version: 2.1.3
% 104.86/15.62 % (4157751)Termination reason: Instruction limit
% 104.86/15.62 % (4157751)Termination phase: Saturation
% 104.86/15.62 % (4157751)Time elapsed: 0.121 s
% 104.86/15.62 % (4157751)Peak memory usage: 91 MB
% 104.86/15.62 % (4157751)Instructions burned: 193 (million)
% 104.86/15.62 % (4157753)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=832830272:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 104.86/15.62 % (4157741)Instruction limit reached!
% 104.86/15.62 % (4157741)------------------------------
% 104.86/15.62 % (4157741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.86/15.62 % (4157741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.86/15.62 % (4157741)CaDiCaL version: 2.1.3
% 104.86/15.62 % (4157741)Termination reason: Instruction limit
% 104.86/15.62 % (4157741)Termination phase: Saturation
% 104.86/15.62 % (4157741)Time elapsed: 3.630 s
% 104.86/15.62 % (4157741)Peak memory usage: 161 MB
% 104.86/15.62 % (4157741)Instructions burned: 6062 (million)
% 104.86/15.62 % (4157755)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2864248178:i=12111:sd=1:ss=included_2940 on theBenchmark for (2940ds/12111Mi)
% 104.86/15.62 % (4157644)Instruction limit reached!
% 104.86/15.62 % (4157644)------------------------------
% 104.86/15.62 % (4157644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.86/15.62 % (4157644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157644)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157644)Termination reason: Instruction limit
% 52.97/15.72 % (4157644)Termination phase: Saturation
% 52.97/15.72 % (4157644)Time elapsed: 4.696 s
% 52.97/15.72 % (4157644)Peak memory usage: 230 MB
% 52.97/15.72 % (4157644)Instructions burned: 13201 (million)
% 52.97/15.72 % (4157757)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=212795538:i=319:kws=precedence:fsr=off_2938 on theBenchmark for (2938ds/319Mi)
% 52.97/15.72 % (4157757)Instruction limit reached!
% 52.97/15.72 % (4157757)------------------------------
% 52.97/15.72 % (4157757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157757)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157757)Termination reason: Instruction limit
% 52.97/15.72 % (4157757)Termination phase: Saturation
% 52.97/15.72 % (4157757)Time elapsed: 0.104 s
% 52.97/15.72 % (4157757)Peak memory usage: 91 MB
% 52.97/15.72 % (4157757)Instructions burned: 320 (million)
% 52.97/15.72 % (4157759)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1449745608:i=2064:ep=RST_2936 on theBenchmark for (2936ds/2064Mi)
% 52.97/15.72 % (4157759)Refutation not found, incomplete strategy
% 52.97/15.72 % (4157759)------------------------------
% 52.97/15.72 % (4157759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157759)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157759)Termination reason: Refutation not found, incomplete strategy
% 52.97/15.72 % (4157759)Time elapsed: 0.512 s
% 52.97/15.72 % (4157759)Peak memory usage: 94 MB
% 52.97/15.72 % (4157759)Instructions burned: 1963 (million)
% 52.97/15.72 % (4157759)------------------------------
% 52.97/15.72 % (4157759)------------------------------
% 52.97/15.72 % (4157761)dis-1011_128_sil=32000:random_seed=1162843112:i=3706:ep=RST:av=off_2928 on theBenchmark for (2928ds/3706Mi)
% 52.97/15.72 % (4157753)Instruction limit reached!
% 52.97/15.72 % (4157753)------------------------------
% 52.97/15.72 % (4157753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157753)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157753)Termination reason: Instruction limit
% 52.97/15.72 % (4157753)Termination phase: Saturation
% 52.97/15.72 % (4157753)Time elapsed: 3.122 s
% 52.97/15.72 % (4157753)Peak memory usage: 148 MB
% 52.97/15.72 % (4157753)Instructions burned: 4851 (million)
% 52.97/15.72 % (4157761)Instruction limit reached!
% 52.97/15.72 % (4157761)------------------------------
% 52.97/15.72 % (4157761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157761)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157761)Termination reason: Instruction limit
% 52.97/15.72 % (4157761)Termination phase: Saturation
% 52.97/15.72 % (4157761)Time elapsed: 1.182 s
% 52.97/15.72 % (4157761)Peak memory usage: 113 MB
% 52.97/15.72 % (4157761)Instructions burned: 3707 (million)
% 52.97/15.72 % (4157763)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1366247241:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2916 on theBenchmark for (2916ds/757Mi)
% 52.97/15.72 % (4157764)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=350132857:i=13913:ss=axioms:sgt=8_2915 on theBenchmark for (2915ds/13913Mi)
% 52.97/15.72 % (4157763)Instruction limit reached!
% 52.97/15.72 % (4157763)------------------------------
% 52.97/15.72 % (4157763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157763)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157763)Termination reason: Instruction limit
% 52.97/15.72 % (4157763)Termination phase: Saturation
% 52.97/15.72 % (4157763)Time elapsed: 0.398 s
% 52.97/15.72 % (4157763)Peak memory usage: 93 MB
% 52.97/15.72 % (4157763)Instructions burned: 757 (million)
% 52.97/15.72 % (4157768)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=858644965:i=9925:aac=none_2911 on theBenchmark for (2911ds/9925Mi)
% 52.97/15.72 % (4157745)Instruction limit reached!
% 52.97/15.72 % (4157745)------------------------------
% 52.97/15.72 % (4157745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157745)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157745)Termination reason: Instruction limit
% 52.97/15.72 % (4157745)Termination phase: Saturation
% 52.97/15.72 % (4157745)Time elapsed: 8.508 s
% 52.97/15.72 % (4157745)Peak memory usage: 207 MB
% 52.97/15.72 % (4157745)Instructions burned: 14156 (million)
% 52.97/15.72 % (4157770)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3993355674:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2886 on theBenchmark for (2886ds/2479Mi)
% 52.97/15.72 % (4157770)Instruction limit reached!
% 52.97/15.72 % (4157770)------------------------------
% 52.97/15.72 % (4157770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157770)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157770)Termination reason: Instruction limit
% 52.97/15.72 % (4157770)Termination phase: Saturation
% 52.97/15.72 % (4157770)Time elapsed: 1.551 s
% 52.97/15.72 % (4157770)Peak memory usage: 97 MB
% 52.97/15.72 % (4157770)Instructions burned: 2480 (million)
% 52.97/15.72 % (4157774)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3769521524:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2870 on theBenchmark for (2870ds/440Mi)
% 52.97/15.72 % (4157774)Instruction limit reached!
% 52.97/15.72 % (4157774)------------------------------
% 52.97/15.72 % (4157774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157774)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157774)Termination reason: Instruction limit
% 52.97/15.72 % (4157774)Termination phase: Saturation
% 52.97/15.72 % (4157774)Time elapsed: 0.239 s
% 52.97/15.72 % (4157774)Peak memory usage: 93 MB
% 52.97/15.72 % (4157774)Instructions burned: 442 (million)
% 52.97/15.72 % (4157814)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=702042436:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2866 on theBenchmark for (2866ds/11145Mi)
% 52.97/15.72 % (4157764)Instruction limit reached!
% 52.97/15.72 % (4157764)------------------------------
% 52.97/15.72 % (4157764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157764)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157764)Termination reason: Instruction limit
% 52.97/15.72 % (4157764)Termination phase: Saturation
% 52.97/15.72 % (4157764)Time elapsed: 5.036 s
% 52.97/15.72 % (4157764)Peak memory usage: 228 MB
% 52.97/15.72 % (4157764)Instructions burned: 13915 (million)
% 52.97/15.72 % (4157822)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2777290986:cts=off:i=3034:av=off:er=known:fsd=on_2864 on theBenchmark for (2864ds/3034Mi)
% 52.97/15.72 % (4157755)Instruction limit reached!
% 52.97/15.72 % (4157755)------------------------------
% 52.97/15.72 % (4157755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157755)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157755)Termination reason: Instruction limit
% 52.97/15.72 % (4157755)Termination phase: Saturation
% 52.97/15.72 % (4157755)Time elapsed: 8.121 s
% 52.97/15.72 % (4157755)Peak memory usage: 210 MB
% 52.97/15.72 % (4157755)Instructions burned: 12111 (million)
% 52.97/15.72 % (4157824)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4242803491:st=2:s2a=on:i=524:s2at=2:ss=axioms_2857 on theBenchmark for (2857ds/524Mi)
% 52.97/15.72 % (4157822)First to succeed.
% 52.97/15.72 % (4157822)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4157597"
% 52.97/15.72 % (4157824)Instruction limit reached!
% 52.97/15.72 % (4157824)------------------------------
% 52.97/15.72 % (4157824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.97/15.72 % (4157824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/15.72 % (4157824)CaDiCaL version: 2.1.3
% 52.97/15.72 % (4157824)Termination reason: Instruction limit
% 52.97/15.72 % (4157824)Termination phase: Saturation
% 52.97/15.72 % (4157824)Time elapsed: 0.277 s
% 52.97/15.72 % (4157824)Peak memory usage: 94 MB
% 52.97/15.72 % (4157824)Instructions burned: 525 (million)
% 52.97/15.72 % (4157826)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3498245351:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2853 on theBenchmark for (2853ds/1016Mi)
% 52.97/15.72 % (4157822)Refutation found. Thanks to Tanya!
% 52.97/15.72 % SZS status Theorem for theBenchmark
% 52.97/15.72 % SZS output start Proof for theBenchmark
% See solution above
% 105.99/15.92 % (4157822)------------------------------
% 105.99/15.92 % (4157822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.99/15.92 % (4157822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.99/15.92 % (4157822)CaDiCaL version: 2.1.3
% 105.99/15.92 % (4157822)Termination reason: Refutation
% 105.99/15.92 % (4157822)Time elapsed: 0.914 s
% 105.99/15.92 % (4157822)Peak memory usage: 134 MB
% 105.99/15.92 % (4157822)Instructions burned: 1719 (million)
% 105.99/15.92 % (4157822)------------------------------
% 105.99/15.92 % (4157822)------------------------------
% 105.99/15.92 % (4157597)Success in time 14.867 s
% 105.99/15.92 % Vampire exiting
%------------------------------------------------------------------------------