%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV522+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:57:52 PM UTC 2026
% Result : Theorem 21.24s 3.86s
% Output : Refutation 21.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 36
% Syntax : Number of formulae : 345 ( 31 unt; 31 def)
% Number of atoms : 1273 ( 54 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 1581 ( 653 ~; 788 |; 89 &)
% ( 40 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 30 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 314 ( 0 sgn 274 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f13,axiom,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X2] :
( member(X2,X1)
=> ? [X3] :
( member(X3,X0)
& member(X2,X3) ) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( ? [X4] :
( member(X4,X2)
& member(X4,X3) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f17,axiom,
! [X0] :
( non_overlapping(X0)
<=> ? [X1] : partition(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_overlapping) ).
fof(f19,axiom,
! [X0,X1] :
( X1 = unaryUnion(X0)
<=> ! [X2] :
( member(X2,X1)
<=> ? [X3] :
( member(X2,X3)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f20,conjecture,
! [X0,X1] :
( ( subset(X0,X1)
& non_overlapping(X1) )
=> non_overlapping(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_is_non_overlapping) ).
fof(f21,negated_conjecture,
~ ! [X0,X1] :
( ( subset(X0,X1)
& non_overlapping(X1) )
=> non_overlapping(X0) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& member(X3,X4) ) )
& ! [X5,X6] :
( ( member(X5,X0)
& member(X6,X0) )
=> ( ? [X7] :
( member(X7,X5)
& member(X7,X6) )
=> X5 = X6 ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f23,plain,
? [X0,X1] :
( ~ non_overlapping(X0)
& subset(X0,X1)
& non_overlapping(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f24,plain,
? [X0,X1] :
( ~ non_overlapping(X0)
& subset(X0,X1)
& non_overlapping(X1) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( subset(X2,X1)
| ~ member(X2,X0) )
& ! [X3] :
( ? [X4] :
( member(X4,X0)
& member(X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( X5 = X6
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| ~ member(X5,X0)
| ~ member(X6,X0) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f26,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( subset(X2,X1)
| ~ member(X2,X0) )
& ! [X3] :
( ? [X4] :
( member(X4,X0)
& member(X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( X5 = X6
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| ~ member(X5,X0)
| ~ member(X6,X0) ) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] :
( ( non_overlapping(X0)
| ! [X1] : ~ partition(X0,X1) )
& ( ? [X1] : partition(X0,X1)
| ~ non_overlapping(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f29,plain,
! [X0] :
( ( non_overlapping(X0)
| ! [X1] : ~ partition(X0,X1) )
& ( ? [X2] : partition(X0,X2)
| ~ non_overlapping(X0) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ( non_overlapping(X0)
| ! [X1] : ~ partition(X0,X1) )
& ( partition(X0,sK0(X0))
| ~ non_overlapping(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( X1 = unaryUnion(X0)
| ? [X2] :
( ( ! [X3] :
( ~ member(X2,X3)
| ~ member(X3,X0) )
| ~ member(X2,X1) )
& ( ? [X3] :
( member(X2,X3)
& member(X3,X0) )
| member(X2,X1) ) ) )
& ( ! [X2] :
( ( member(X2,X1)
| ! [X3] :
( ~ member(X2,X3)
| ~ member(X3,X0) ) )
& ( ? [X3] :
( member(X2,X3)
& member(X3,X0) )
| ~ member(X2,X1) ) )
| unaryUnion(X0) != X1 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f32,plain,
! [X0,X1] :
( ( X1 = unaryUnion(X0)
| ? [X2] :
( ( ! [X3] :
( ~ member(X2,X3)
| ~ member(X3,X0) )
| ~ member(X2,X1) )
& ( ? [X4] :
( member(X2,X4)
& member(X4,X0) )
| member(X2,X1) ) ) )
& ( ! [X5] :
( ( member(X5,X1)
| ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) ) )
& ( ? [X7] :
( member(X5,X7)
& member(X7,X0) )
| ~ member(X5,X1) ) )
| unaryUnion(X0) != X1 ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( X1 = unaryUnion(X0)
| ( ( ! [X3] :
( ~ member(sK1(X0,X1),X3)
| ~ member(X3,X0) )
| ~ member(sK1(X0,X1),X1) )
& ( ( member(sK1(X0,X1),sK2(X0,X1))
& member(sK2(X0,X1),X0) )
| member(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( member(X5,X1)
| ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) ) )
& ( ( member(X5,sK3(X0,X5))
& member(sK3(X0,X5),X0) )
| ~ member(X5,X1) ) )
| unaryUnion(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f32]) ).
fof(f34,plain,
( ~ non_overlapping(sK4)
& subset(sK4,sK5)
& non_overlapping(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f24]) ).
fof(f35,plain,
! [X0,X1] :
( ( partition(X0,X1)
| ? [X2] :
( ~ subset(X2,X1)
& member(X2,X0) )
| ? [X3] :
( ! [X4] :
( ~ member(X4,X0)
| ~ member(X3,X4) )
& member(X3,X1) )
| ? [X5,X6] :
( X5 != X6
& ? [X7] :
( member(X7,X5)
& member(X7,X6) )
& member(X5,X0)
& member(X6,X0) ) )
& ( ( ! [X2] :
( subset(X2,X1)
| ~ member(X2,X0) )
& ! [X3] :
( ? [X4] :
( member(X4,X0)
& member(X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( X5 = X6
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| ~ member(X5,X0)
| ~ member(X6,X0) ) )
| ~ partition(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f36,plain,
! [X0,X1] :
( ( partition(X0,X1)
| ? [X2] :
( ~ subset(X2,X1)
& member(X2,X0) )
| ? [X3] :
( ! [X4] :
( ~ member(X4,X0)
| ~ member(X3,X4) )
& member(X3,X1) )
| ? [X5,X6] :
( X5 != X6
& ? [X7] :
( member(X7,X5)
& member(X7,X6) )
& member(X5,X0)
& member(X6,X0) ) )
& ( ( ! [X2] :
( subset(X2,X1)
| ~ member(X2,X0) )
& ! [X3] :
( ? [X4] :
( member(X4,X0)
& member(X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6] :
( X5 = X6
| ! [X7] :
( ~ member(X7,X5)
| ~ member(X7,X6) )
| ~ member(X5,X0)
| ~ member(X6,X0) ) )
| ~ partition(X0,X1) ) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ( partition(X0,X1)
| ? [X2] :
( ~ subset(X2,X1)
& member(X2,X0) )
| ? [X3] :
( ! [X4] :
( ~ member(X4,X0)
| ~ member(X3,X4) )
& member(X3,X1) )
| ? [X5,X6] :
( X5 != X6
& ? [X7] :
( member(X7,X5)
& member(X7,X6) )
& member(X5,X0)
& member(X6,X0) ) )
& ( ( ! [X8] :
( subset(X8,X1)
| ~ member(X8,X0) )
& ! [X9] :
( ? [X10] :
( member(X10,X0)
& member(X9,X10) )
| ~ member(X9,X1) )
& ! [X11,X12] :
( X11 = X12
| ! [X13] :
( ~ member(X13,X11)
| ~ member(X13,X12) )
| ~ member(X11,X0)
| ~ member(X12,X0) ) )
| ~ partition(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( partition(X0,X1)
| ( ~ subset(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) )
| ( ! [X4] :
( ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4) )
& member(sK7(X0,X1),X1) )
| ( sK8(X0) != sK9(X0)
& member(sK10(X0),sK8(X0))
& member(sK10(X0),sK9(X0))
& member(sK8(X0),X0)
& member(sK9(X0),X0) ) )
& ( ( ! [X8] :
( subset(X8,X1)
| ~ member(X8,X0) )
& ! [X9] :
( ( member(sK11(X0,X9),X0)
& member(X9,sK11(X0,X9)) )
| ~ member(X9,X1) )
& ! [X11,X12] :
( X11 = X12
| ! [X13] :
( ~ member(X13,X11)
| ~ member(X13,X12) )
| ~ member(X11,X0)
| ~ member(X12,X0) ) )
| ~ partition(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1)),skolemize(X5,sK8(X0)),skolemize(X6,sK9(X0)),skolemize(X7,sK10(X0)),skolemize(X10,sK11(X0,X9))],[f37]) ).
fof(f44,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK12(X0,X1),X1)
& member(sK12(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f45]) ).
fof(f47,plain,
! [X0] :
( partition(X0,sK0(X0))
| ~ non_overlapping(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f48,plain,
! [X0,X1] :
( non_overlapping(X0)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f50,plain,
! [X0,X1,X5] :
( member(sK3(X0,X5),X0)
| ~ member(X5,X1)
| unaryUnion(X0) != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0,X1,X5] :
( member(X5,sK3(X0,X5))
| ~ member(X5,X1)
| unaryUnion(X0) != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0,X1,X6,X5] :
( member(X5,X1)
| ~ member(X5,X6)
| ~ member(X6,X0)
| unaryUnion(X0) != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
non_overlapping(sK5),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
~ non_overlapping(sK4),
inference(cnf_transformation,[],[f34]) ).
fof(f59,plain,
! [X0,X11,X1,X12,X13] :
( X11 = X12
| ~ member(X13,X11)
| ~ member(X13,X12)
| ~ member(X11,X0)
| ~ member(X12,X0)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0,X1] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| member(sK7(X0,X1),X1)
| member(sK9(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f64,plain,
! [X0,X1] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| member(sK7(X0,X1),X1)
| member(sK8(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
! [X0,X1] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| member(sK7(X0,X1),X1)
| member(sK10(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f66,plain,
! [X0,X1] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| member(sK7(X0,X1),X1)
| member(sK10(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f67,plain,
! [X0,X1] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| member(sK7(X0,X1),X1)
| sK8(X0) != sK9(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f68,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK9(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK8(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK10(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f71,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK10(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f72,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| member(sK6(X0,X1),X0)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| sK8(X0) != sK9(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f73,plain,
! [X0,X1] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| member(sK7(X0,X1),X1)
| member(sK9(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f74,plain,
! [X0,X1] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| member(sK7(X0,X1),X1)
| member(sK8(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f75,plain,
! [X0,X1] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| member(sK7(X0,X1),X1)
| member(sK10(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f76,plain,
! [X0,X1] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| member(sK7(X0,X1),X1)
| member(sK10(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f77,plain,
! [X0,X1] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| member(sK7(X0,X1),X1)
| sK8(X0) != sK9(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f78,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK9(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f79,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK8(X0),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f80,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK10(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f81,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| member(sK10(X0),sK8(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f82,plain,
! [X0,X1,X4] :
( partition(X0,X1)
| ~ subset(sK6(X0,X1),X1)
| ~ member(X4,X0)
| ~ member(sK7(X0,X1),X4)
| sK8(X0) != sK9(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f92,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f93,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f94,plain,
! [X0,X6,X5] :
( member(X5,unaryUnion(X0))
| ~ member(X5,X6)
| ~ member(X6,X0) ),
inference(equality_resolution,[],[f52]) ).
fof(f95,plain,
! [X0,X5] :
( member(X5,sK3(X0,X5))
| ~ member(X5,unaryUnion(X0)) ),
inference(equality_resolution,[],[f51]) ).
fof(f96,plain,
! [X0,X5] :
( member(sK3(X0,X5),X0)
| ~ member(X5,unaryUnion(X0)) ),
inference(equality_resolution,[],[f50]) ).
fof(f98,plain,
! [X0,X1] :
( ~ partition(X0,X1)
| sP13(X0) ),
inference(cnf_transformation,[],[f98_D]) ).
fof(f98_D,definition,
! [X0] :
( ! [X1] : ~ partition(X0,X1)
<=> ~ sP13(X0) ),
introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).
fof(f99,plain,
! [X0,X11,X12,X13] :
( X11 = X12
| ~ member(X13,X11)
| ~ member(X13,X12)
| ~ member(X11,X0)
| ~ member(X12,X0)
| ~ sP13(X0) ),
inference(general_splitting,[],[f59,f98_D]) ).
fof(f100,plain,
! [X0,X11,X12] :
( ~ member(X11,X0)
| ~ member(X12,X0)
| ~ sP13(X0)
| sP14(X11,X12) ),
inference(cnf_transformation,[],[f100_D]) ).
fof(f100_D,definition,
! [X12,X11] :
( ! [X0] :
( ~ member(X11,X0)
| ~ member(X12,X0)
| ~ sP13(X0) )
<=> ~ sP14(X11,X12) ),
introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).
fof(f101,plain,
! [X11,X12,X13] :
( X11 = X12
| ~ member(X13,X11)
| ~ member(X13,X12)
| ~ sP14(X11,X12) ),
inference(general_splitting,[],[f99,f100_D]) ).
fof(f103,definition,
( spl15_1
<=> non_overlapping(sK4) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f105,plain,
( ~ non_overlapping(sK4)
| spl15_1 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
~ spl15_1,
inference(avatar_split_clause,[],[f58,f103]) ).
fof(f107,plain,
( ! [X0] : ~ partition(sK4,X0)
| spl15_1 ),
inference(resolution,[],[f105,f48]) ).
fof(f109,definition,
( spl15_2
<=> non_overlapping(sK5) ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f111,plain,
( non_overlapping(sK5)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
spl15_2,
inference(avatar_split_clause,[],[f56,f109]) ).
fof(f113,plain,
( partition(sK5,sK0(sK5))
| ~ spl15_2 ),
inference(resolution,[],[f111,f47]) ).
fof(f115,definition,
( spl15_3
<=> subset(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f117,plain,
( subset(sK4,sK5)
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
spl15_3,
inference(avatar_split_clause,[],[f57,f115]) ).
fof(f119,plain,
( ! [X0] :
( member(X0,sK5)
| ~ member(X0,sK4) )
| ~ spl15_3 ),
inference(resolution,[],[f117,f91]) ).
fof(f121,definition,
( spl15_4
<=> ! [X0] :
( member(X0,sK5)
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(X0,sK5) )
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( spl15_4
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f119,f115,f121]) ).
fof(f154,plain,
( ! [X0,X1] :
( member(sK8(sK4),sK5)
| partition(sK4,X0)
| member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| ~ spl15_4 ),
inference(resolution,[],[f122,f69]) ).
fof(f156,plain,
( ! [X0,X1] :
( member(sK8(sK4),sK5)
| partition(sK4,X0)
| ~ subset(sK6(sK4,X0),X0)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| ~ spl15_4 ),
inference(resolution,[],[f122,f79]) ).
fof(f167,plain,
( ! [X0,X1] :
( member(sK8(sK4),sK5)
| ~ subset(sK6(sK4,X0),X0)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| spl15_1
| ~ spl15_4 ),
inference(forward_subsumption_resolution,[],[f156,f107]) ).
fof(f169,plain,
( ! [X0,X1] :
( member(sK8(sK4),sK5)
| member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| spl15_1
| ~ spl15_4 ),
inference(forward_subsumption_resolution,[],[f154,f107]) ).
fof(f182,definition,
( spl15_5
<=> member(sK10(sK4),sK9(sK4)) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f183,plain,
( ~ member(sK10(sK4),sK9(sK4))
| spl15_5 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( member(sK10(sK4),sK9(sK4))
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f227,definition,
( spl15_7
<=> sK9(sK4) = sK8(sK4) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f228,plain,
( sK9(sK4) = sK8(sK4)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( sK9(sK4) != sK8(sK4)
| spl15_7 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f236,definition,
( spl15_9
<=> member(sK10(sK4),sK8(sK4)) ),
introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).
fof(f237,plain,
( ~ member(sK10(sK4),sK8(sK4))
| spl15_9 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( member(sK10(sK4),sK8(sK4))
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f265,plain,
( ! [X0] :
( sK9(sK4) = X0
| ~ member(sK10(sK4),X0)
| ~ sP14(X0,sK9(sK4)) )
| ~ spl15_5 ),
inference(resolution,[],[f184,f101]) ).
fof(f291,plain,
( ! [X0] :
( sK8(sK4) = X0
| ~ member(sK10(sK4),X0)
| ~ sP14(X0,sK8(sK4)) )
| ~ spl15_9 ),
inference(resolution,[],[f238,f101]) ).
fof(f293,definition,
( spl15_10
<=> ! [X0] : ~ partition(sK4,X0) ),
introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).
fof(f294,plain,
( ! [X0] : ~ partition(sK4,X0)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( spl15_10
| spl15_1 ),
inference(avatar_split_clause,[],[f107,f103,f293]) ).
fof(f297,plain,
( ! [X0] :
( member(sK6(sK4,X0),sK4)
| member(sK7(sK4,X0),X0)
| member(sK9(sK4),sK4) )
| ~ spl15_10 ),
inference(resolution,[],[f294,f63]) ).
fof(f302,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1)
| member(sK9(sK4),sK4) )
| ~ spl15_10 ),
inference(resolution,[],[f294,f68]) ).
fof(f304,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1)
| member(sK10(sK4),sK9(sK4)) )
| ~ spl15_10 ),
inference(resolution,[],[f294,f70]) ).
fof(f305,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1)
| member(sK10(sK4),sK8(sK4)) )
| ~ spl15_10 ),
inference(resolution,[],[f294,f71]) ).
fof(f306,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1)
| sK9(sK4) != sK8(sK4) )
| ~ spl15_10 ),
inference(resolution,[],[f294,f72]) ).
fof(f312,plain,
( ! [X0,X1] :
( ~ subset(sK6(sK4,X0),X0)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1)
| member(sK9(sK4),sK4) )
| ~ spl15_10 ),
inference(resolution,[],[f294,f78]) ).
fof(f315,plain,
( ! [X0,X1] :
( ~ subset(sK6(sK4,X0),X0)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1)
| member(sK10(sK4),sK8(sK4)) )
| ~ spl15_10 ),
inference(resolution,[],[f294,f81]) ).
fof(f318,definition,
( spl15_11
<=> member(sK9(sK4),sK4) ),
introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).
fof(f319,plain,
( ~ member(sK9(sK4),sK4)
| spl15_11 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f320,plain,
( member(sK9(sK4),sK4)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f322,plain,
( member(sK9(sK4),sK5)
| ~ spl15_4
| ~ spl15_11 ),
inference(resolution,[],[f320,f122]) ).
fof(f351,definition,
( spl15_12
<=> member(sK9(sK4),sK5) ),
introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).
fof(f353,plain,
( member(sK9(sK4),sK5)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f354,plain,
( spl15_12
| ~ spl15_4
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f322,f318,f121,f351]) ).
fof(f376,plain,
( ! [X0] :
( ~ member(X0,sK5)
| ~ sP13(sK5)
| sP14(sK9(sK4),X0) )
| ~ spl15_12 ),
inference(resolution,[],[f353,f100]) ).
fof(f381,definition,
( spl15_13
<=> member(sK8(sK4),sK4) ),
introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).
fof(f382,plain,
( ~ member(sK8(sK4),sK4)
| spl15_13 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f383,plain,
( member(sK8(sK4),sK4)
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,plain,
( member(sK8(sK4),sK5)
| ~ spl15_4
| ~ spl15_13 ),
inference(resolution,[],[f383,f122]) ).
fof(f412,definition,
( spl15_14
<=> member(sK8(sK4),sK5) ),
introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).
fof(f414,plain,
( member(sK8(sK4),sK5)
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,plain,
( spl15_14
| ~ spl15_4
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f385,f381,f121,f412]) ).
fof(f437,plain,
( ! [X0] :
( ~ member(X0,sK5)
| ~ sP13(sK5)
| sP14(sK8(sK4),X0) )
| ~ spl15_14 ),
inference(resolution,[],[f414,f100]) ).
fof(f442,definition,
( spl15_15
<=> ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(sK7(sK4,X0),X1)
| ~ member(X1,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).
fof(f443,plain,
( ! [X0,X1] :
( ~ member(sK7(sK4,X0),X1)
| member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f445,plain,
( spl15_11
| spl15_15
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f302,f293,f442,f318]) ).
fof(f476,definition,
( spl15_17
<=> partition(sK5,sK0(sK5)) ),
introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).
fof(f478,plain,
( partition(sK5,sK0(sK5))
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( spl15_17
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f113,f109,f476]) ).
fof(f484,plain,
( sP13(sK5)
| ~ spl15_17 ),
inference(resolution,[],[f478,f98]) ).
fof(f487,plain,
( ! [X0] :
( ~ member(X0,sK5)
| sP14(sK8(sK4),X0) )
| ~ spl15_14
| ~ spl15_17 ),
inference(backward_subsumption_resolution,[],[f437,f484]) ).
fof(f489,plain,
( ! [X0] :
( ~ member(X0,sK5)
| sP14(sK9(sK4),X0) )
| ~ spl15_12
| ~ spl15_17 ),
inference(backward_subsumption_resolution,[],[f376,f484]) ).
fof(f491,plain,
( spl15_15
| spl15_14
| spl15_1
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f169,f121,f103,f412,f442]) ).
fof(f732,definition,
( spl15_34
<=> ! [X0,X1] :
( ~ subset(sK6(sK4,X0),X0)
| ~ member(sK7(sK4,X0),X1)
| ~ member(X1,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl15_34])],[avatar_definition]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ member(sK7(sK4,X0),X1)
| ~ subset(sK6(sK4,X0),X0)
| ~ member(X1,sK4) )
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f735,plain,
( spl15_11
| spl15_34
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f312,f293,f732,f318]) ).
fof(f1117,definition,
( spl15_55
<=> ! [X0] :
( ~ member(X0,sK5)
| sP14(sK8(sK4),X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_55])],[avatar_definition]) ).
fof(f1118,plain,
( ! [X0] :
( sP14(sK8(sK4),X0)
| ~ member(X0,sK5) )
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1119,plain,
( spl15_55
| ~ spl15_14
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f487,f476,f412,f1117]) ).
fof(f1122,definition,
( spl15_56
<=> ! [X0] :
( ~ member(X0,sK5)
| sP14(sK9(sK4),X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_56])],[avatar_definition]) ).
fof(f1123,plain,
( ! [X0] :
( sP14(sK9(sK4),X0)
| ~ member(X0,sK5) )
| ~ spl15_56 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1124,plain,
( spl15_56
| ~ spl15_12
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f489,f476,f351,f1122]) ).
fof(f1202,plain,
( ! [X0] :
( member(sK6(sK4,X0),sK4)
| member(sK7(sK4,X0),X0) )
| ~ spl15_10
| spl15_11 ),
inference(backward_subsumption_resolution,[],[f297,f319]) ).
fof(f1263,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(sK3(X1,sK7(sK4,X0)),sK4)
| ~ member(sK7(sK4,X0),unaryUnion(X1)) )
| ~ spl15_15 ),
inference(resolution,[],[f443,f95]) ).
fof(f2829,definition,
( spl15_118
<=> ! [X0] :
( member(sK6(sK4,X0),sK4)
| member(sK7(sK4,X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_118])],[avatar_definition]) ).
fof(f2830,plain,
( ! [X0] :
( member(sK7(sK4,X0),X0)
| member(sK6(sK4,X0),sK4) )
| ~ spl15_118 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f2832,plain,
( spl15_118
| ~ spl15_10
| spl15_11 ),
inference(avatar_split_clause,[],[f1202,f318,f293,f2829]) ).
fof(f3022,definition,
( spl15_122
<=> ! [X0] :
( sK8(sK4) = X0
| ~ member(sK10(sK4),X0)
| ~ sP14(X0,sK8(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl15_122])],[avatar_definition]) ).
fof(f3023,plain,
( ! [X0] :
( ~ sP14(X0,sK8(sK4))
| ~ member(sK10(sK4),X0)
| sK8(sK4) = X0 )
| ~ spl15_122 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f3024,plain,
( spl15_122
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f291,f236,f3022]) ).
fof(f3031,plain,
( ~ member(sK10(sK4),sK9(sK4))
| sK9(sK4) = sK8(sK4)
| ~ member(sK8(sK4),sK5)
| ~ spl15_56
| ~ spl15_122 ),
inference(resolution,[],[f3023,f1123]) ).
fof(f3032,plain,
( sK9(sK4) = sK8(sK4)
| ~ member(sK8(sK4),sK5)
| ~ spl15_5
| ~ spl15_56
| ~ spl15_122 ),
inference(forward_subsumption_resolution,[],[f3031,f184]) ).
fof(f3033,plain,
( ~ member(sK8(sK4),sK5)
| ~ spl15_5
| spl15_7
| ~ spl15_56
| ~ spl15_122 ),
inference(forward_subsumption_resolution,[],[f3032,f229]) ).
fof(f3034,plain,
( $false
| ~ spl15_5
| spl15_7
| ~ spl15_14
| ~ spl15_56
| ~ spl15_122 ),
inference(forward_subsumption_resolution,[],[f3033,f414]) ).
fof(f3035,plain,
( ~ spl15_5
| spl15_7
| ~ spl15_14
| ~ spl15_56
| ~ spl15_122 ),
inference(avatar_contradiction_clause,[],[f3034]) ).
fof(f3052,definition,
( spl15_125
<=> ! [X0] :
( sK9(sK4) = X0
| ~ member(sK10(sK4),X0)
| ~ sP14(X0,sK9(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl15_125])],[avatar_definition]) ).
fof(f3053,plain,
( ! [X0] :
( ~ sP14(X0,sK9(sK4))
| ~ member(sK10(sK4),X0)
| sK9(sK4) = X0 )
| ~ spl15_125 ),
inference(avatar_component_clause,[],[f3052]) ).
fof(f3054,plain,
( spl15_125
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f265,f182,f3052]) ).
fof(f3059,plain,
( ~ member(sK10(sK4),sK8(sK4))
| sK9(sK4) = sK8(sK4)
| ~ member(sK9(sK4),sK5)
| ~ spl15_55
| ~ spl15_125 ),
inference(resolution,[],[f3053,f1118]) ).
fof(f3242,definition,
( spl15_132
<=> member(sK6(sK4,unaryUnion(sK4)),sK4) ),
introduced(definition,[new_symbols(definition,[spl15_132])],[avatar_definition]) ).
fof(f3243,plain,
( ~ member(sK6(sK4,unaryUnion(sK4)),sK4)
| spl15_132 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f3244,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| ~ spl15_132 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f3499,definition,
( spl15_137
<=> member(sK7(sK4,unaryUnion(sK4)),unaryUnion(sK4)) ),
introduced(definition,[new_symbols(definition,[spl15_137])],[avatar_definition]) ).
fof(f3500,plain,
( ~ member(sK7(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| spl15_137 ),
inference(avatar_component_clause,[],[f3499]) ).
fof(f3501,plain,
( member(sK7(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ spl15_137 ),
inference(avatar_component_clause,[],[f3499]) ).
fof(f3520,plain,
( member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| ~ spl15_137 ),
inference(resolution,[],[f3501,f96]) ).
fof(f3521,plain,
( member(sK7(sK4,unaryUnion(sK4)),sK3(sK4,sK7(sK4,unaryUnion(sK4))))
| ~ spl15_137 ),
inference(resolution,[],[f3501,f95]) ).
fof(f3637,definition,
( spl15_139
<=> member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl15_139])],[avatar_definition]) ).
fof(f3639,plain,
( member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| ~ spl15_139 ),
inference(avatar_component_clause,[],[f3637]) ).
fof(f3640,plain,
( spl15_139
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f3520,f3499,f3637]) ).
fof(f3845,definition,
( spl15_143
<=> member(sK7(sK4,unaryUnion(sK4)),sK3(sK4,sK7(sK4,unaryUnion(sK4)))) ),
introduced(definition,[new_symbols(definition,[spl15_143])],[avatar_definition]) ).
fof(f3847,plain,
( member(sK7(sK4,unaryUnion(sK4)),sK3(sK4,sK7(sK4,unaryUnion(sK4))))
| ~ spl15_143 ),
inference(avatar_component_clause,[],[f3845]) ).
fof(f3848,plain,
( spl15_143
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f3521,f3499,f3845]) ).
fof(f4112,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| ~ spl15_34
| ~ spl15_143 ),
inference(resolution,[],[f3847,f733]) ).
fof(f4123,plain,
( partition(sK4,unaryUnion(sK4))
| ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| member(sK10(sK4),sK9(sK4))
| ~ spl15_143 ),
inference(resolution,[],[f3847,f80]) ).
fof(f4125,plain,
( partition(sK4,unaryUnion(sK4))
| ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| sK9(sK4) != sK8(sK4)
| ~ spl15_143 ),
inference(resolution,[],[f3847,f82]) ).
fof(f4157,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ spl15_34
| ~ spl15_139
| ~ spl15_143 ),
inference(forward_subsumption_resolution,[],[f4112,f3639]) ).
fof(f4280,plain,
( spl15_34
| spl15_14
| spl15_1
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f167,f121,f103,f412,f732]) ).
fof(f4851,definition,
( spl15_174
<=> ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(sK3(X1,sK7(sK4,X0)),sK4)
| ~ member(sK7(sK4,X0),unaryUnion(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl15_174])],[avatar_definition]) ).
fof(f4852,plain,
( ! [X0,X1] :
( ~ member(sK3(X1,sK7(sK4,X0)),sK4)
| member(sK6(sK4,X0),sK4)
| ~ member(sK7(sK4,X0),unaryUnion(X1)) )
| ~ spl15_174 ),
inference(avatar_component_clause,[],[f4851]) ).
fof(f4853,plain,
( spl15_174
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f1263,f442,f4851]) ).
fof(f4855,plain,
( ! [X0] :
( member(sK6(sK4,X0),sK4)
| ~ member(sK7(sK4,X0),unaryUnion(sK4))
| ~ member(sK7(sK4,X0),unaryUnion(sK4)) )
| ~ spl15_174 ),
inference(resolution,[],[f4852,f96]) ).
fof(f4863,plain,
( ! [X0] :
( member(sK6(sK4,X0),sK4)
| ~ member(sK7(sK4,X0),unaryUnion(sK4)) )
| ~ spl15_174 ),
inference(duplicate_literal_removal,[],[f4855]) ).
fof(f4865,definition,
( spl15_175
<=> ! [X0] :
( member(sK6(sK4,X0),sK4)
| ~ member(sK7(sK4,X0),unaryUnion(sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl15_175])],[avatar_definition]) ).
fof(f4866,plain,
( ! [X0] :
( ~ member(sK7(sK4,X0),unaryUnion(sK4))
| member(sK6(sK4,X0),sK4) )
| ~ spl15_175 ),
inference(avatar_component_clause,[],[f4865]) ).
fof(f4867,plain,
( spl15_175
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f4863,f4851,f4865]) ).
fof(f4874,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| member(sK6(sK4,unaryUnion(sK4)),sK4)
| member(sK10(sK4),sK8(sK4))
| ~ spl15_175 ),
inference(resolution,[],[f4866,f66]) ).
fof(f4875,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| member(sK6(sK4,unaryUnion(sK4)),sK4)
| sK9(sK4) != sK8(sK4)
| ~ spl15_175 ),
inference(resolution,[],[f4866,f67]) ).
fof(f4890,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| sK9(sK4) != sK8(sK4)
| ~ spl15_175 ),
inference(duplicate_literal_removal,[],[f4875]) ).
fof(f4891,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| member(sK10(sK4),sK8(sK4))
| ~ spl15_175 ),
inference(duplicate_literal_removal,[],[f4874]) ).
fof(f12101,definition,
( spl15_439
<=> subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4)) ),
introduced(definition,[new_symbols(definition,[spl15_439])],[avatar_definition]) ).
fof(f12102,plain,
( subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ spl15_439 ),
inference(avatar_component_clause,[],[f12101]) ).
fof(f12103,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| spl15_439 ),
inference(avatar_component_clause,[],[f12101]) ).
fof(f12104,plain,
( ~ spl15_439
| ~ spl15_34
| ~ spl15_139
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f4157,f3845,f3637,f732,f12101]) ).
fof(f12106,plain,
( ~ member(sK12(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4)),unaryUnion(sK4))
| spl15_439 ),
inference(resolution,[],[f12103,f93]) ).
fof(f12117,definition,
( spl15_441
<=> member(sK12(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4)),unaryUnion(sK4)) ),
introduced(definition,[new_symbols(definition,[spl15_441])],[avatar_definition]) ).
fof(f12119,plain,
( ~ member(sK12(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4)),unaryUnion(sK4))
| spl15_441 ),
inference(avatar_component_clause,[],[f12117]) ).
fof(f12120,plain,
( ~ spl15_441
| spl15_439 ),
inference(avatar_split_clause,[],[f12106,f12101,f12117]) ).
fof(f12121,plain,
( ! [X0] :
( ~ member(sK12(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4)),X0)
| ~ member(X0,sK4) )
| spl15_441 ),
inference(resolution,[],[f12119,f94]) ).
fof(f12324,definition,
( spl15_446
<=> ! [X0] :
( ~ member(sK12(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4)),X0)
| ~ member(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl15_446])],[avatar_definition]) ).
fof(f12325,plain,
( ! [X0] :
( ~ member(sK12(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4)),X0)
| ~ member(X0,sK4) )
| ~ spl15_446 ),
inference(avatar_component_clause,[],[f12324]) ).
fof(f12326,plain,
( spl15_446
| spl15_441 ),
inference(avatar_split_clause,[],[f12121,f12117,f12324]) ).
fof(f12327,plain,
( ~ member(sK6(sK4,unaryUnion(sK4)),sK4)
| subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ spl15_446 ),
inference(resolution,[],[f12325,f92]) ).
fof(f12355,plain,
( subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ spl15_132
| ~ spl15_446 ),
inference(forward_subsumption_resolution,[],[f12327,f3244]) ).
fof(f12357,plain,
( $false
| ~ spl15_132
| spl15_439
| ~ spl15_446 ),
inference(forward_subsumption_resolution,[],[f12355,f12103]) ).
fof(f12358,plain,
( ~ spl15_132
| spl15_439
| ~ spl15_446 ),
inference(avatar_contradiction_clause,[],[f12357]) ).
fof(f12422,plain,
( partition(sK4,unaryUnion(sK4))
| ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK9(sK4),sK4)
| spl15_137 ),
inference(resolution,[],[f3500,f73]) ).
fof(f12436,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK9(sK4),sK4)
| ~ spl15_10
| spl15_137 ),
inference(forward_subsumption_resolution,[],[f12422,f294]) ).
fof(f12437,plain,
( member(sK9(sK4),sK4)
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f12436,f12102]) ).
fof(f12438,plain,
( $false
| ~ spl15_10
| spl15_11
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f12437,f319]) ).
fof(f12439,plain,
( ~ spl15_10
| spl15_11
| spl15_137
| ~ spl15_439 ),
inference(avatar_contradiction_clause,[],[f12438]) ).
fof(f12456,plain,
( partition(sK4,unaryUnion(sK4))
| sK9(sK4) != sK8(sK4)
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f4890,f3243]) ).
fof(f12588,plain,
( sK9(sK4) != sK8(sK4)
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f12456,f294]) ).
fof(f12688,plain,
( $false
| ~ spl15_7
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f12588,f228]) ).
fof(f12689,plain,
( ~ spl15_7
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(avatar_contradiction_clause,[],[f12688]) ).
fof(f12779,plain,
( partition(sK4,unaryUnion(sK4))
| member(sK10(sK4),sK8(sK4))
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f4891,f3243]) ).
fof(f12842,plain,
( member(sK10(sK4),sK8(sK4))
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f12779,f294]) ).
fof(f12850,plain,
( $false
| spl15_9
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f12842,f237]) ).
fof(f12851,plain,
( spl15_9
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(avatar_contradiction_clause,[],[f12850]) ).
fof(f12867,plain,
( sK9(sK4) = sK8(sK4)
| ~ member(sK9(sK4),sK5)
| ~ spl15_9
| ~ spl15_55
| ~ spl15_125 ),
inference(forward_subsumption_resolution,[],[f3059,f238]) ).
fof(f12927,plain,
( ~ member(sK9(sK4),sK5)
| spl15_7
| ~ spl15_9
| ~ spl15_55
| ~ spl15_125 ),
inference(forward_subsumption_resolution,[],[f12867,f229]) ).
fof(f12980,plain,
( $false
| ~ spl15_4
| spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_55
| ~ spl15_125 ),
inference(forward_subsumption_resolution,[],[f12927,f322]) ).
fof(f12981,plain,
( ~ spl15_4
| spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_55
| ~ spl15_125 ),
inference(avatar_contradiction_clause,[],[f12980]) ).
fof(f12997,plain,
( ! [X0,X1] :
( ~ subset(sK6(sK4,X0),X0)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| spl15_9
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f315,f237]) ).
fof(f13155,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| spl15_9
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f305,f237]) ).
fof(f13158,plain,
( spl15_15
| spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f13155,f293,f236,f442]) ).
fof(f13384,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| member(sK6(sK4,unaryUnion(sK4)),sK4)
| member(sK8(sK4),sK4)
| ~ spl15_175 ),
inference(resolution,[],[f4866,f64]) ).
fof(f13405,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| member(sK8(sK4),sK4)
| ~ spl15_175 ),
inference(duplicate_literal_removal,[],[f13384]) ).
fof(f13481,plain,
( spl15_34
| spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f12997,f293,f236,f732]) ).
fof(f13511,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| member(sK6(sK4,unaryUnion(sK4)),sK4)
| ~ spl15_118
| ~ spl15_175 ),
inference(resolution,[],[f2830,f4866]) ).
fof(f13616,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| ~ spl15_118
| ~ spl15_175 ),
inference(duplicate_literal_removal,[],[f13511]) ).
fof(f13820,plain,
( partition(sK4,unaryUnion(sK4))
| ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK8(sK4),sK4)
| spl15_137 ),
inference(resolution,[],[f3500,f74]) ).
fof(f13821,plain,
( partition(sK4,unaryUnion(sK4))
| ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK10(sK4),sK9(sK4))
| spl15_137 ),
inference(resolution,[],[f3500,f75]) ).
fof(f13822,plain,
( partition(sK4,unaryUnion(sK4))
| ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK10(sK4),sK8(sK4))
| spl15_137 ),
inference(resolution,[],[f3500,f76]) ).
fof(f13823,plain,
( partition(sK4,unaryUnion(sK4))
| ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| sK9(sK4) != sK8(sK4)
| spl15_137 ),
inference(resolution,[],[f3500,f77]) ).
fof(f13833,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK10(sK4),sK8(sK4))
| ~ spl15_10
| spl15_137 ),
inference(forward_subsumption_resolution,[],[f13822,f294]) ).
fof(f13834,plain,
( member(sK10(sK4),sK8(sK4))
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f13833,f12102]) ).
fof(f13835,plain,
( $false
| spl15_9
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f13834,f237]) ).
fof(f13836,plain,
( spl15_9
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(avatar_contradiction_clause,[],[f13835]) ).
fof(f13882,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK10(sK4),sK9(sK4))
| ~ spl15_10
| spl15_137 ),
inference(forward_subsumption_resolution,[],[f13821,f294]) ).
fof(f13923,plain,
( member(sK10(sK4),sK9(sK4))
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f13882,f12102]) ).
fof(f13926,plain,
( $false
| spl15_5
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f13923,f183]) ).
fof(f13927,plain,
( spl15_5
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(avatar_contradiction_clause,[],[f13926]) ).
fof(f13997,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| member(sK8(sK4),sK4)
| ~ spl15_10
| spl15_137 ),
inference(forward_subsumption_resolution,[],[f13820,f294]) ).
fof(f14043,plain,
( member(sK8(sK4),sK4)
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f13997,f12102]) ).
fof(f14046,plain,
( $false
| ~ spl15_10
| spl15_13
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14043,f382]) ).
fof(f14047,plain,
( ~ spl15_10
| spl15_13
| spl15_137
| ~ spl15_439 ),
inference(avatar_contradiction_clause,[],[f14046]) ).
fof(f14088,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| sK9(sK4) != sK8(sK4)
| ~ spl15_10
| spl15_137 ),
inference(forward_subsumption_resolution,[],[f13823,f294]) ).
fof(f14128,plain,
( sK9(sK4) != sK8(sK4)
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14088,f12102]) ).
fof(f14135,plain,
( $false
| ~ spl15_7
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14128,f228]) ).
fof(f14136,plain,
( ~ spl15_7
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(avatar_contradiction_clause,[],[f14135]) ).
fof(f14138,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| sK9(sK4) != sK8(sK4)
| ~ spl15_10
| ~ spl15_143 ),
inference(forward_subsumption_resolution,[],[f4125,f294]) ).
fof(f14141,plain,
( ~ member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| sK9(sK4) != sK8(sK4)
| ~ spl15_10
| ~ spl15_143
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14138,f12102]) ).
fof(f14143,plain,
( sK9(sK4) != sK8(sK4)
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14141,f3639]) ).
fof(f14145,plain,
( $false
| ~ spl15_7
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14143,f228]) ).
fof(f14146,plain,
( ~ spl15_7
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(avatar_contradiction_clause,[],[f14145]) ).
fof(f14187,plain,
( ~ subset(sK6(sK4,unaryUnion(sK4)),unaryUnion(sK4))
| ~ member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| member(sK10(sK4),sK9(sK4))
| ~ spl15_10
| ~ spl15_143 ),
inference(forward_subsumption_resolution,[],[f4123,f294]) ).
fof(f14228,plain,
( ~ member(sK3(sK4,sK7(sK4,unaryUnion(sK4))),sK4)
| member(sK10(sK4),sK9(sK4))
| ~ spl15_10
| ~ spl15_143
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14187,f12102]) ).
fof(f14231,plain,
( member(sK10(sK4),sK9(sK4))
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14228,f3639]) ).
fof(f14233,plain,
( $false
| spl15_5
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(forward_subsumption_resolution,[],[f14231,f183]) ).
fof(f14234,plain,
( spl15_5
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(avatar_contradiction_clause,[],[f14233]) ).
fof(f14249,plain,
( partition(sK4,unaryUnion(sK4))
| member(sK8(sK4),sK4)
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f13405,f3243]) ).
fof(f14257,plain,
( $false
| ~ spl15_118
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f13616,f3243]) ).
fof(f14258,plain,
( ~ spl15_118
| spl15_132
| ~ spl15_175 ),
inference(avatar_contradiction_clause,[],[f14257]) ).
fof(f14298,plain,
( member(sK8(sK4),sK4)
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f14249,f294]) ).
fof(f14341,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| ~ spl15_7
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f306,f228]) ).
fof(f14545,plain,
( spl15_15
| ~ spl15_7
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f14341,f293,f227,f442]) ).
fof(f14588,plain,
( ! [X0,X1] :
( member(sK6(sK4,X0),sK4)
| ~ member(X1,sK4)
| ~ member(sK7(sK4,X0),X1) )
| spl15_5
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f304,f183]) ).
fof(f14672,plain,
( spl15_13
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f14298,f4865,f3242,f293,f381]) ).
fof(f14737,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| member(sK6(sK4,unaryUnion(sK4)),sK4)
| member(sK10(sK4),sK9(sK4))
| ~ spl15_175 ),
inference(resolution,[],[f4866,f65]) ).
fof(f14756,plain,
( member(sK6(sK4,unaryUnion(sK4)),sK4)
| partition(sK4,unaryUnion(sK4))
| member(sK10(sK4),sK9(sK4))
| ~ spl15_175 ),
inference(duplicate_literal_removal,[],[f14737]) ).
fof(f14759,plain,
( partition(sK4,unaryUnion(sK4))
| member(sK10(sK4),sK9(sK4))
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f14756,f3243]) ).
fof(f14762,plain,
( member(sK10(sK4),sK9(sK4))
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f14759,f294]) ).
fof(f14763,plain,
( $false
| spl15_5
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(forward_subsumption_resolution,[],[f14762,f183]) ).
fof(f14764,plain,
( spl15_5
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(avatar_contradiction_clause,[],[f14763]) ).
fof(f14765,plain,
( spl15_15
| spl15_5
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f14588,f293,f182,f442]) ).
cnf(s1,plain,
~ spl15_1,
inference(sat_conversion,[],[f106]) ).
cnf(s2,plain,
spl15_2,
inference(sat_conversion,[],[f112]) ).
cnf(s3,plain,
spl15_3,
inference(sat_conversion,[],[f118]) ).
cnf(s4,plain,
( ~ spl15_3
| spl15_4 ),
inference(sat_conversion,[],[f123]) ).
cnf(s11,plain,
( spl15_1
| spl15_10 ),
inference(sat_conversion,[],[f295]) ).
cnf(s13,plain,
( ~ spl15_4
| ~ spl15_11
| spl15_12 ),
inference(sat_conversion,[],[f354]) ).
cnf(s15,plain,
( ~ spl15_4
| ~ spl15_13
| spl15_14 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( ~ spl15_10
| spl15_11
| spl15_15 ),
inference(sat_conversion,[],[f445]) ).
cnf(s19,plain,
( ~ spl15_2
| spl15_17 ),
inference(sat_conversion,[],[f479]) ).
cnf(s20,plain,
( spl15_1
| ~ spl15_4
| spl15_14
| spl15_15 ),
inference(sat_conversion,[],[f491]) ).
cnf(s38,plain,
( ~ spl15_10
| spl15_11
| spl15_34 ),
inference(sat_conversion,[],[f735]) ).
cnf(s63,plain,
( ~ spl15_14
| ~ spl15_17
| spl15_55 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s64,plain,
( ~ spl15_12
| ~ spl15_17
| spl15_56 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s131,plain,
( ~ spl15_10
| spl15_11
| spl15_118 ),
inference(sat_conversion,[],[f2832]) ).
cnf(s135,plain,
( ~ spl15_9
| spl15_122 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s136,plain,
( ~ spl15_5
| spl15_7
| ~ spl15_14
| ~ spl15_56
| ~ spl15_122 ),
inference(sat_conversion,[],[f3035]) ).
cnf(s140,plain,
( ~ spl15_5
| spl15_125 ),
inference(sat_conversion,[],[f3054]) ).
cnf(s153,plain,
( ~ spl15_137
| spl15_139 ),
inference(sat_conversion,[],[f3640]) ).
cnf(s158,plain,
( ~ spl15_137
| spl15_143 ),
inference(sat_conversion,[],[f3848]) ).
cnf(s171,plain,
( spl15_1
| ~ spl15_4
| spl15_14
| spl15_34 ),
inference(sat_conversion,[],[f4280]) ).
cnf(s188,plain,
( ~ spl15_15
| spl15_174 ),
inference(sat_conversion,[],[f4853]) ).
cnf(s189,plain,
( ~ spl15_174
| spl15_175 ),
inference(sat_conversion,[],[f4867]) ).
cnf(s447,plain,
( ~ spl15_34
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(sat_conversion,[],[f12104]) ).
cnf(s449,plain,
( spl15_439
| ~ spl15_441 ),
inference(sat_conversion,[],[f12120]) ).
cnf(s453,plain,
( spl15_441
| spl15_446 ),
inference(sat_conversion,[],[f12326]) ).
cnf(s455,plain,
( ~ spl15_132
| spl15_439
| ~ spl15_446 ),
inference(sat_conversion,[],[f12358]) ).
cnf(s459,plain,
( ~ spl15_10
| spl15_11
| spl15_137
| ~ spl15_439 ),
inference(sat_conversion,[],[f12439]) ).
cnf(s463,plain,
( ~ spl15_7
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(sat_conversion,[],[f12689]) ).
cnf(s476,plain,
( spl15_9
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(sat_conversion,[],[f12851]) ).
cnf(s484,plain,
( ~ spl15_4
| spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_55
| ~ spl15_125 ),
inference(sat_conversion,[],[f12981]) ).
cnf(s490,plain,
( spl15_9
| ~ spl15_10
| spl15_15 ),
inference(sat_conversion,[],[f13158]) ).
cnf(s497,plain,
( spl15_9
| ~ spl15_10
| spl15_34 ),
inference(sat_conversion,[],[f13481]) ).
cnf(s503,plain,
( spl15_9
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(sat_conversion,[],[f13836]) ).
cnf(s504,plain,
( spl15_5
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(sat_conversion,[],[f13927]) ).
cnf(s509,plain,
( ~ spl15_10
| spl15_13
| spl15_137
| ~ spl15_439 ),
inference(sat_conversion,[],[f14047]) ).
cnf(s510,plain,
( ~ spl15_7
| ~ spl15_10
| spl15_137
| ~ spl15_439 ),
inference(sat_conversion,[],[f14136]) ).
cnf(s511,plain,
( ~ spl15_7
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(sat_conversion,[],[f14146]) ).
cnf(s512,plain,
( spl15_5
| ~ spl15_10
| ~ spl15_139
| ~ spl15_143
| ~ spl15_439 ),
inference(sat_conversion,[],[f14234]) ).
cnf(s517,plain,
( ~ spl15_118
| spl15_132
| ~ spl15_175 ),
inference(sat_conversion,[],[f14258]) ).
cnf(s519,plain,
( ~ spl15_7
| ~ spl15_10
| spl15_15 ),
inference(sat_conversion,[],[f14545]) ).
cnf(s520,plain,
( ~ spl15_10
| spl15_13
| spl15_132
| ~ spl15_175 ),
inference(sat_conversion,[],[f14672]) ).
cnf(s523,plain,
( spl15_5
| ~ spl15_10
| spl15_132
| ~ spl15_175 ),
inference(sat_conversion,[],[f14764]) ).
cnf(s524,plain,
( spl15_5
| ~ spl15_10
| spl15_15 ),
inference(sat_conversion,[],[f14765]) ).
cnf(s525,plain,
spl15_4,
inference(rat,[],[s4,s3]) ).
cnf(s544,plain,
spl15_17,
inference(rat,[],[s19,s2]) ).
cnf(s560,plain,
spl15_10,
inference(rat,[],[s11,s1]) ).
cnf(s561,plain,
( spl15_439
| ~ spl15_132 ),
inference(rat,[],[s453,s449,s455]) ).
cnf(s562,plain,
( ~ spl15_439
| spl15_5 ),
inference(rat,[],[s512,s153,s158,s504,s560]) ).
cnf(s563,plain,
( ~ spl15_175
| spl15_5 ),
inference(rat,[],[s562,s561,s523,s560]) ).
cnf(s564,plain,
spl15_5,
inference(rat,[],[s563,s189,s188,s524,s560]) ).
cnf(s566,plain,
spl15_125,
inference(rat,[],[s140,s564]) ).
cnf(s577,plain,
( ~ spl15_175
| spl15_132 ),
inference(rat,[],[s484,s63,s131,s15,s463,s476,s517,s520,s560,s544,s566,s525]) ).
cnf(s578,plain,
spl15_15,
inference(rat,[],[s484,s63,s17,s490,s519,s20,s525,s566,s544,s560,s1]) ).
cnf(s580,plain,
spl15_174,
inference(rat,[],[s188,s578]) ).
cnf(s582,plain,
spl15_175,
inference(rat,[],[s189,s580]) ).
cnf(s583,plain,
spl15_132,
inference(rat,[],[s577,s582]) ).
cnf(s584,plain,
spl15_439,
inference(rat,[],[s561,s583]) ).
cnf(s585,plain,
spl15_9,
inference(rat,[],[s447,s153,s158,s503,s497,s584,s560]) ).
cnf(s587,plain,
spl15_122,
inference(rat,[],[s135,s585]) ).
cnf(s598,plain,
spl15_11,
inference(rat,[],[s447,s153,s158,s459,s38,s584,s560]) ).
cnf(s602,plain,
spl15_12,
inference(rat,[],[s13,s525,s598]) ).
cnf(s604,plain,
spl15_56,
inference(rat,[],[s64,s544,s602]) ).
cnf(s614,plain,
spl15_14,
inference(rat,[],[s447,s153,s158,s509,s15,s171,s584,s560,s525,s1]) ).
cnf(s619,plain,
spl15_7,
inference(rat,[],[s136,s587,s604,s564,s614]) ).
cnf(s626,plain,
spl15_137,
inference(rat,[],[s510,s584,s560,s619]) ).
cnf(s644,plain,
spl15_143,
inference(rat,[],[s158,s626]) ).
cnf(s645,plain,
spl15_139,
inference(rat,[],[s153,s626]) ).
cnf(s655,plain,
$false,
inference(rat,[],[s511,s584,s619,s560,s644,s645]) ).
fof(f14766,plain,
$false,
inference(avatar_sat_refutation,[],[s655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV522+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.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 06:32:12 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 10.54/2.36 % (1380041)Detected formulas, will run a generic FOF schedule.
% 10.54/2.36 % (1380050)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=135732599:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.54/2.36 % (1380050)Instruction limit reached!
% 10.54/2.36 % (1380050)------------------------------
% 10.54/2.36 % (1380050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (1380050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (1380050)CaDiCaL version: 2.1.3
% 10.54/2.36 % (1380050)Termination reason: Instruction limit
% 10.54/2.36 % (1380050)Termination phase: Saturation
% 10.54/2.36 % (1380050)Time elapsed: 0.028 s
% 10.54/2.36 % (1380050)Peak memory usage: 88 MB
% 10.54/2.36 % (1380050)Instructions burned: 124 (million)
% 10.54/2.36 % (1380049)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=228839267:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.54/2.36 % (1380046)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=2632932670:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.54/2.36 % (1380048)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=1665381680:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.54/2.36 % (1380047)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=1033737655:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.54/2.36 % (1380049)Refutation not found, incomplete strategy
% 10.54/2.36 % (1380049)------------------------------
% 10.54/2.36 % (1380049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (1380049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (1380049)CaDiCaL version: 2.1.3
% 10.54/2.36 % (1380049)Termination reason: Refutation not found, incomplete strategy
% 10.54/2.36 % (1380049)Time elapsed: 0.001 s
% 10.54/2.36 % (1380049)Peak memory usage: 87 MB
% 10.54/2.36 % (1380052)dis-21_1_sil=8000:lcm=predicate:random_seed=1091650459: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)
% 10.54/2.36 % (1380051)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2020993295:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.54/2.36 % (1380052)Instruction limit reached!
% 10.54/2.36 % (1380052)------------------------------
% 10.54/2.36 % (1380052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (1380052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (1380052)CaDiCaL version: 2.1.3
% 10.54/2.36 % (1380052)Termination reason: Instruction limit
% 10.54/2.36 % (1380052)Termination phase: Saturation
% 10.54/2.36 % (1380052)Time elapsed: 0.083 s
% 10.54/2.36 % (1380052)Peak memory usage: 89 MB
% 10.54/2.36 % (1380052)Instructions burned: 130 (million)
% 10.54/2.36 % (1380058)lrs+10_1_sil=8000:sp=occurrence:random_seed=3572672753:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.54/2.36 % (1380051)Instruction limit reached!
% 10.54/2.36 % (1380051)------------------------------
% 10.54/2.36 % (1380051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (1380051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (1380051)CaDiCaL version: 2.1.3
% 10.54/2.36 % (1380051)Termination reason: Instruction limit
% 10.54/2.36 % (1380051)Termination phase: Saturation
% 10.54/2.36 % (1380051)Time elapsed: 0.096 s
% 10.54/2.36 % (1380051)Peak memory usage: 89 MB
% 10.54/2.36 % (1380051)Instructions burned: 140 (million)
% 10.54/2.36 % (1380058)Instruction limit reached!
% 10.54/2.36 % (1380058)------------------------------
% 10.54/2.36 % (1380058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.36 % (1380058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.36 % (1380058)CaDiCaL version: 2.1.3
% 10.54/2.36 % (1380058)Termination reason: Instruction limit
% 10.54/2.36 % (1380058)Termination phase: Saturation
% 10.54/2.36 % (1380058)Time elapsed: 0.092 s
% 10.54/2.36 % (1380058)Peak memory usage: 92 MB
% 10.54/2.36 % (1380058)Instructions burned: 285 (million)
% 10.54/2.36 % (1380061)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2485621047:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.22/3.01 % (1380061)Refutation not found, incomplete strategy
% 14.22/3.01 % (1380061)------------------------------
% 14.22/3.01 % (1380061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.01 % (1380061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.01 % (1380061)CaDiCaL version: 2.1.3
% 14.22/3.01 % (1380061)Termination reason: Refutation not found, incomplete strategy
% 14.22/3.01 % (1380061)Time elapsed: 0.002 s
% 14.22/3.01 % (1380061)Peak memory usage: 88 MB
% 14.22/3.01 % (1380061)Instructions burned: 2 (million)
% 14.22/3.01 % (1380063)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4200539255:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.22/3.01 % (1380049)------------------------------
% 14.22/3.01 % (1380049)------------------------------
% 14.22/3.01 % (1380064)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=973530876:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.22/3.01 % (1380064)Instruction limit reached!
% 14.22/3.01 % (1380064)------------------------------
% 14.22/3.01 % (1380064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.01 % (1380064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.01 % (1380064)CaDiCaL version: 2.1.3
% 14.22/3.01 % (1380064)Termination reason: Instruction limit
% 14.22/3.01 % (1380064)Termination phase: Saturation
% 14.22/3.01 % (1380064)Time elapsed: 0.071 s
% 14.22/3.01 % (1380064)Peak memory usage: 92 MB
% 14.22/3.01 % (1380064)Instructions burned: 250 (million)
% 14.22/3.01 % (1380067)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2445350051:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 14.22/3.01 % (1380067)Refutation not found, incomplete strategy
% 14.22/3.01 % (1380067)------------------------------
% 14.22/3.01 % (1380067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.01 % (1380067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.01 % (1380067)CaDiCaL version: 2.1.3
% 14.22/3.01 % (1380067)Termination reason: Refutation not found, incomplete strategy
% 14.22/3.01 % (1380067)Time elapsed: 0.002 s
% 14.22/3.01 % (1380067)Peak memory usage: 88 MB
% 14.22/3.01 % (1380067)Instructions burned: 1 (million)
% 14.22/3.01 % (1380063)Instruction limit reached!
% 14.22/3.01 % (1380063)------------------------------
% 14.22/3.01 % (1380063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.01 % (1380063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.01 % (1380063)CaDiCaL version: 2.1.3
% 14.22/3.01 % (1380063)Termination reason: Instruction limit
% 14.22/3.01 % (1380063)Termination phase: Saturation
% 14.22/3.01 % (1380063)Time elapsed: 0.203 s
% 14.22/3.01 % (1380063)Peak memory usage: 91 MB
% 14.22/3.01 % (1380063)Instructions burned: 326 (million)
% 14.22/3.01 % (1380069)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1215065345:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 14.22/3.01 % (1380061)------------------------------
% 14.22/3.01 % (1380061)------------------------------
% 14.22/3.01 % (1380071)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=943174520:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.22/3.01 % (1380073)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4104534987:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 14.22/3.01 % (1380067)------------------------------
% 14.22/3.01 % (1380067)------------------------------
% 14.22/3.01 % (1380071)Instruction limit reached!
% 14.22/3.01 % (1380071)------------------------------
% 14.22/3.01 % (1380071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.01 % (1380071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.01 % (1380071)CaDiCaL version: 2.1.3
% 14.22/3.01 % (1380071)Termination reason: Instruction limit
% 14.22/3.01 % (1380071)Termination phase: Saturation
% 14.22/3.01 % (1380071)Time elapsed: 0.077 s
% 14.22/3.01 % (1380071)Peak memory usage: 90 MB
% 14.22/3.01 % (1380071)Instructions burned: 114 (million)
% 14.22/3.01 % (1380073)Instruction limit reached!
% 14.22/3.01 % (1380073)------------------------------
% 14.22/3.01 % (1380073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380073)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380073)Termination reason: Instruction limit
% 21.24/3.86 % (1380073)Termination phase: Saturation
% 21.24/3.86 % (1380073)Time elapsed: 0.070 s
% 21.24/3.86 % (1380073)Peak memory usage: 89 MB
% 21.24/3.86 % (1380073)Instructions burned: 128 (million)
% 21.24/3.86 % (1380076)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2822919012:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 21.24/3.86 % (1380077)lrs+10_1_sil=8000:sp=occurrence:random_seed=3855368406:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 21.24/3.86 % (1380078)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2947658813:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 21.24/3.86 % (1380078)Refutation not found, incomplete strategy
% 21.24/3.86 % (1380078)------------------------------
% 21.24/3.86 % (1380078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380078)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380078)Termination reason: Refutation not found, incomplete strategy
% 21.24/3.86 % (1380078)Time elapsed: 0.002 s
% 21.24/3.86 % (1380078)Peak memory usage: 88 MB
% 21.24/3.86 % (1380078)Instructions burned: 1 (million)
% 21.24/3.86 % (1380076)Instruction limit reached!
% 21.24/3.86 % (1380076)------------------------------
% 21.24/3.86 % (1380076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380076)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380076)Termination reason: Instruction limit
% 21.24/3.86 % (1380076)Termination phase: Saturation
% 21.24/3.86 % (1380076)Time elapsed: 0.065 s
% 21.24/3.86 % (1380076)Peak memory usage: 89 MB
% 21.24/3.86 % (1380076)Instructions burned: 116 (million)
% 21.24/3.86 % (1380082)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3939545779:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 21.24/3.86 % (1380078)------------------------------
% 21.24/3.86 % (1380078)------------------------------
% 21.24/3.86 % (1380084)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2188205494:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 21.24/3.86 % (1380084)Instruction limit reached!
% 21.24/3.86 % (1380084)------------------------------
% 21.24/3.86 % (1380084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380084)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380084)Termination reason: Instruction limit
% 21.24/3.86 % (1380084)Termination phase: Saturation
% 21.24/3.86 % (1380084)Time elapsed: 0.071 s
% 21.24/3.86 % (1380084)Peak memory usage: 89 MB
% 21.24/3.86 % (1380084)Instructions burned: 135 (million)
% 21.24/3.86 % (1380077)Instruction limit reached!
% 21.24/3.86 % (1380077)------------------------------
% 21.24/3.86 % (1380077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380077)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380077)Termination reason: Instruction limit
% 21.24/3.86 % (1380077)Termination phase: Saturation
% 21.24/3.86 % (1380077)Time elapsed: 0.533 s
% 21.24/3.86 % (1380077)Peak memory usage: 99 MB
% 21.24/3.86 % (1380077)Instructions burned: 907 (million)
% 21.24/3.86 % (1380069)Instruction limit reached!
% 21.24/3.86 % (1380069)------------------------------
% 21.24/3.86 % (1380069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380069)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380069)Termination reason: Instruction limit
% 21.24/3.86 % (1380069)Termination phase: Saturation
% 21.24/3.86 % (1380069)Time elapsed: 0.901 s
% 21.24/3.86 % (1380069)Peak memory usage: 141 MB
% 21.24/3.86 % (1380069)Instructions burned: 2351 (million)
% 21.24/3.86 % (1380086)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3255274324:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 21.24/3.86 % (1380086)Refutation not found, incomplete strategy
% 21.24/3.86 % (1380086)------------------------------
% 21.24/3.86 % (1380086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380086)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380086)Termination reason: Refutation not found, incomplete strategy
% 21.24/3.86 % (1380086)Time elapsed: 0.002 s
% 21.24/3.86 % (1380086)Peak memory usage: 88 MB
% 21.24/3.86 % (1380086)Instructions burned: 2 (million)
% 21.24/3.86 % (1380087)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=762634469:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 21.24/3.86 % (1380089)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=2739223413:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 21.24/3.86 % (1380089)Instruction limit reached!
% 21.24/3.86 % (1380089)------------------------------
% 21.24/3.86 % (1380089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380089)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380089)Termination reason: Instruction limit
% 21.24/3.86 % (1380089)Termination phase: Saturation
% 21.24/3.86 % (1380089)Time elapsed: 0.046 s
% 21.24/3.86 % (1380089)Peak memory usage: 90 MB
% 21.24/3.86 % (1380089)Instructions burned: 127 (million)
% 21.24/3.86 % (1380086)------------------------------
% 21.24/3.86 % (1380086)------------------------------
% 21.24/3.86 % (1380092)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2654320028:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 21.24/3.86 % (1380092)Instruction limit reached!
% 21.24/3.86 % (1380092)------------------------------
% 21.24/3.86 % (1380092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380092)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380092)Termination reason: Instruction limit
% 21.24/3.86 % (1380092)Termination phase: Saturation
% 21.24/3.86 % (1380092)Time elapsed: 0.044 s
% 21.24/3.86 % (1380092)Peak memory usage: 90 MB
% 21.24/3.86 % (1380092)Instructions burned: 137 (million)
% 21.24/3.86 % (1380093)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1010812852:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 21.24/3.86 % (1380095)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2905020949:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 21.24/3.86 % (1380093)Instruction limit reached!
% 21.24/3.86 % (1380093)------------------------------
% 21.24/3.86 % (1380093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380093)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380093)Termination reason: Instruction limit
% 21.24/3.86 % (1380093)Termination phase: Saturation
% 21.24/3.86 % (1380093)Time elapsed: 0.089 s
% 21.24/3.86 % (1380093)Peak memory usage: 89 MB
% 21.24/3.86 % (1380093)Instructions burned: 141 (million)
% 21.24/3.86 % (1380095)Instruction limit reached!
% 21.24/3.86 % (1380095)------------------------------
% 21.24/3.86 % (1380095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380095)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380095)Termination reason: Instruction limit
% 21.24/3.86 % (1380095)Termination phase: Saturation
% 21.24/3.86 % (1380095)Time elapsed: 0.119 s
% 21.24/3.86 % (1380095)Peak memory usage: 92 MB
% 21.24/3.86 % (1380095)Instructions burned: 434 (million)
% 21.24/3.86 % (1380099)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=1811971403:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 21.24/3.86 % (1380098)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=1746801860:i=6060:aac=none:ins=25_2980 on theBenchmark for (2980ds/6060Mi)
% 21.24/3.86 % (1380099)Instruction limit reached!
% 21.24/3.86 % (1380099)------------------------------
% 21.24/3.86 % (1380099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/3.86 % (1380099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/3.86 % (1380099)CaDiCaL version: 2.1.3
% 21.24/3.86 % (1380099)Termination reason: Instruction limit
% 21.24/3.86 % (1380099)Termination phase: Saturation
% 21.24/3.86 % (1380099)Time elapsed: 0.051 s
% 21.24/3.86 % (1380099)Peak memory usage: 90 MB
% 21.24/3.86 % (1380099)Instructions burned: 154 (million)
% 21.24/3.86 % (1380102)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=242157857:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 21.24/3.86 % (1380048)First to succeed.
% 21.24/3.86 % (1380048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1380041"
% 21.24/3.86 % (1380102)Also succeeded, but the first one will report.
% 21.24/3.86 % (1380048)Refutation found. Thanks to Tanya!
% 21.24/3.86 % SZS status Theorem for theBenchmark
% 21.24/3.86 % SZS output start Proof for theBenchmark
% See solution above
% 21.87/4.06 % (1380048)------------------------------
% 21.87/4.06 % (1380048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.87/4.06 % (1380048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.87/4.06 % (1380048)CaDiCaL version: 2.1.3
% 21.87/4.06 % (1380048)Termination reason: Refutation
% 21.87/4.06 % (1380048)Time elapsed: 2.591 s
% 21.87/4.06 % (1380048)Peak memory usage: 155 MB
% 21.87/4.06 % (1380048)Instructions burned: 3966 (million)
% 21.87/4.06 % (1380048)------------------------------
% 21.87/4.06 % (1380048)------------------------------
% 21.87/4.06 % (1380041)Success in time 3.006 s
% 21.87/4.06 % Vampire exiting
%------------------------------------------------------------------------------