%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET773+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:41:53 PM UTC 2026
% Result : Theorem 0.75s 0.84s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 15
% Syntax : Number of formulae : 210 ( 18 unt; 13 def)
% Number of atoms : 1327 ( 0 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 2009 ( 892 ~; 985 |; 96 &)
% ( 22 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 12 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 377 ( 0 sgn 346 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X2,X3,X4] :
( ( member(X2,X0)
& member(X3,X0)
& member(X4,X0) )
=> ( ( apply(X1,X2,X3)
& apply(X1,X3,X4) )
=> apply(X1,X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( equivalence(X1,X0)
& equivalence(X2,X0)
& ! [X4,X5] :
( ( member(X4,X0)
& member(X5,X0) )
=> ( apply(X3,X4,X5)
<=> ( apply(X1,X4,X5)
& apply(X2,X4,X5) ) ) ) )
=> equivalence(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( equivalence(X1,X0)
& equivalence(X2,X0)
& ! [X4,X5] :
( ( member(X4,X0)
& member(X5,X0) )
=> ( apply(X3,X4,X5)
<=> ( apply(X1,X4,X5)
& apply(X2,X4,X5) ) ) ) )
=> equivalence(X3,X0) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X3,X0)
& member(X4,X0) )
=> ( apply(X1,X3,X4)
=> apply(X1,X4,X3) ) )
& ! [X5,X6,X7] :
( ( member(X5,X0)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X6)
& apply(X1,X6,X7) )
=> apply(X1,X5,X7) ) ) ) ),
inference(rectify,[],[f14]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& equivalence(X1,X0)
& equivalence(X2,X0)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ( apply(X1,X4,X5)
& apply(X2,X4,X5) ) )
| ~ member(X4,X0)
| ~ member(X5,X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& equivalence(X1,X0)
& equivalence(X2,X0)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ( apply(X1,X4,X5)
& apply(X2,X4,X5) ) )
| ~ member(X4,X0)
| ~ member(X5,X0) ) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& ! [X5,X6,X7] :
( apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& ! [X5,X6,X7] :
( apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0) ) ) ),
inference(flattening,[],[f22]) ).
fof(f24,definition,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X5,X6,X7] :
( apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& sP0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f26,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f23,f25,f24]) ).
fof(f27,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& equivalence(X1,X0)
& equivalence(X2,X0)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ~ apply(X1,X4,X5)
| ~ apply(X2,X4,X5) )
& ( ( apply(X1,X4,X5)
& apply(X2,X4,X5) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X4,X0)
| ~ member(X5,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f28,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& equivalence(X1,X0)
& equivalence(X2,X0)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ~ apply(X1,X4,X5)
| ~ apply(X2,X4,X5) )
& ( ( apply(X1,X4,X5)
& apply(X2,X4,X5) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X4,X0)
| ~ member(X5,X0) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
( ~ equivalence(sK5,sK2)
& equivalence(sK3,sK2)
& equivalence(sK4,sK2)
& ! [X4,X5] :
( ( ( apply(sK5,X4,X5)
| ~ apply(sK3,X4,X5)
| ~ apply(sK4,X4,X5) )
& ( ( apply(sK3,X4,X5)
& apply(sK4,X4,X5) )
| ~ apply(sK5,X4,X5) ) )
| ~ member(X4,sK2)
| ~ member(X5,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f28]) ).
fof(f30,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| ~ sP0(X1,X0) )
& ( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& sP0(X1,X0) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f31,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ~ apply(X1,X2,X2)
& member(X2,X0) )
| ? [X3,X4] :
( ~ apply(X1,X4,X3)
& apply(X1,X3,X4)
& member(X3,X0)
& member(X4,X0) )
| ~ sP0(X1,X0) )
& ( ( ! [X2] :
( apply(X1,X2,X2)
| ~ member(X2,X0) )
& ! [X3,X4] :
( apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X3,X0)
| ~ member(X4,X0) )
& sP0(X1,X0) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ apply(X0,X2,X2)
& member(X2,X1) )
| ? [X3,X4] :
( ~ apply(X0,X4,X3)
& apply(X0,X3,X4)
& member(X3,X1)
& member(X4,X1) )
| ~ sP0(X0,X1) )
& ( ( ! [X5] :
( apply(X0,X5,X5)
| ~ member(X5,X1) )
& ! [X6,X7] :
( apply(X0,X7,X6)
| ~ apply(X0,X6,X7)
| ~ member(X6,X1)
| ~ member(X7,X1) )
& sP0(X0,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ apply(X0,sK6(X0,X1),sK6(X0,X1))
& member(sK6(X0,X1),X1) )
| ( ~ apply(X0,sK8(X0,X1),sK7(X0,X1))
& apply(X0,sK7(X0,X1),sK8(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK8(X0,X1),X1) )
| ~ sP0(X0,X1) )
& ( ( ! [X5] :
( apply(X0,X5,X5)
| ~ member(X5,X1) )
& ! [X6,X7] :
( apply(X0,X7,X6)
| ~ apply(X0,X6,X7)
| ~ member(X6,X1)
| ~ member(X7,X1) )
& sP0(X0,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1)),skolemize(X4,sK8(X0,X1))],[f32]) ).
fof(f34,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X5,X6,X7] :
( ~ apply(X1,X5,X7)
& apply(X1,X5,X6)
& apply(X1,X6,X7)
& member(X5,X0)
& member(X6,X0)
& member(X7,X0) ) )
& ( ! [X5,X6,X7] :
( apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f35,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X2,X3)
& apply(X0,X3,X4)
& member(X2,X1)
& member(X3,X1)
& member(X4,X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ apply(X0,sK9(X0,X1),sK11(X0,X1))
& apply(X0,sK9(X0,X1),sK10(X0,X1))
& apply(X0,sK10(X0,X1),sK11(X0,X1))
& member(sK9(X0,X1),X1)
& member(sK10(X0,X1),X1)
& member(sK11(X0,X1),X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X6,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X2,sK9(X0,X1)),skolemize(X3,sK10(X0,X1)),skolemize(X4,sK11(X0,X1))],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ( equivalence(X1,X0)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ equivalence(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f38,plain,
! [X4,X5] :
( ~ apply(sK5,X4,X5)
| apply(sK4,X4,X5)
| ~ member(X4,sK2)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f39,plain,
! [X4,X5] :
( ~ apply(sK5,X4,X5)
| apply(sK3,X4,X5)
| ~ member(X4,sK2)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X4,X5] :
( ~ apply(sK4,X4,X5)
| ~ apply(sK3,X4,X5)
| apply(sK5,X4,X5)
| ~ member(X4,sK2)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
equivalence(sK4,sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f42,plain,
equivalence(sK3,sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f43,plain,
~ equivalence(sK5,sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f44,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f45,plain,
! [X0,X1,X6,X7] :
( ~ apply(X0,X6,X7)
| apply(X0,X7,X6)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f46,plain,
! [X0,X1,X5] :
( apply(X0,X5,X5)
| ~ member(X5,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f47,plain,
! [X0,X1] :
( member(sK8(X0,X1),X1)
| member(sK6(X0,X1),X1)
| sP1(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f48,plain,
! [X0,X1] :
( member(sK7(X0,X1),X1)
| member(sK6(X0,X1),X1)
| sP1(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X0,X1] :
( apply(X0,sK7(X0,X1),sK8(X0,X1))
| member(sK6(X0,X1),X1)
| sP1(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK7(X0,X1))
| member(sK6(X0,X1),X1)
| sP1(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apply(X0,sK6(X0,X1),sK6(X0,X1))
| sP1(X0,X1)
| member(sK8(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apply(X0,sK6(X0,X1),sK6(X0,X1))
| sP1(X0,X1)
| member(sK7(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X0,X1] :
( ~ apply(X0,sK6(X0,X1),sK6(X0,X1))
| sP1(X0,X1)
| apply(X0,sK7(X0,X1),sK8(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apply(X0,sK8(X0,X1),sK7(X0,X1))
| ~ apply(X0,sK6(X0,X1),sK6(X0,X1))
| sP1(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X0,X1,X6,X7,X5] :
( ~ apply(X0,X6,X7)
| ~ apply(X0,X5,X6)
| apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f56,plain,
! [X0,X1] :
( member(sK11(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0,X1] :
( member(sK10(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
! [X0,X1] :
( member(sK9(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f59,plain,
! [X0,X1] :
( apply(X0,sK10(X0,X1),sK11(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f60,plain,
! [X0,X1] :
( apply(X0,sK9(X0,X1),sK10(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apply(X0,sK9(X0,X1),sK11(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
sP1(sK4,sK2),
inference(resolution,[],[f41,f62]) ).
fof(f65,plain,
sP1(sK3,sK2),
inference(resolution,[],[f42,f62]) ).
fof(f67,plain,
! [X0] :
( apply(sK4,sK7(sK5,X0),sK8(sK5,X0))
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2)
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0) ),
inference(resolution,[],[f38,f49]) ).
fof(f68,plain,
! [X0] :
( apply(sK4,sK9(sK5,X0),sK10(sK5,X0))
| ~ member(sK9(sK5,X0),sK2)
| ~ member(sK10(sK5,X0),sK2)
| sP0(sK5,X0) ),
inference(resolution,[],[f38,f60]) ).
fof(f69,plain,
! [X0] :
( apply(sK4,sK10(sK5,X0),sK11(sK5,X0))
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| sP0(sK5,X0) ),
inference(resolution,[],[f38,f59]) ).
fof(f72,plain,
sP0(sK4,sK2),
inference(resolution,[],[f64,f44]) ).
fof(f74,plain,
! [X0] :
( apply(sK3,sK7(sK5,X0),sK8(sK5,X0))
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2)
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0) ),
inference(resolution,[],[f39,f49]) ).
fof(f75,plain,
! [X0] :
( apply(sK3,sK9(sK5,X0),sK10(sK5,X0))
| ~ member(sK9(sK5,X0),sK2)
| ~ member(sK10(sK5,X0),sK2)
| sP0(sK5,X0) ),
inference(resolution,[],[f39,f60]) ).
fof(f76,plain,
! [X0] :
( apply(sK3,sK10(sK5,X0),sK11(sK5,X0))
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| sP0(sK5,X0) ),
inference(resolution,[],[f39,f59]) ).
fof(f79,plain,
sP0(sK3,sK2),
inference(resolution,[],[f65,f44]) ).
fof(f80,plain,
! [X0,X1] :
( ~ apply(sK3,X0,X0)
| apply(sK5,X0,X0)
| ~ member(X0,sK2)
| ~ member(X0,sK2)
| ~ member(X0,X1)
| ~ sP1(sK4,X1) ),
inference(resolution,[],[f40,f46]) ).
fof(f84,plain,
! [X0,X1] :
( ~ apply(sK3,X0,X0)
| apply(sK5,X0,X0)
| ~ member(X0,sK2)
| ~ member(X0,X1)
| ~ sP1(sK4,X1) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f102,plain,
! [X2,X0,X1] :
( apply(sK5,X0,X0)
| ~ member(X0,sK2)
| ~ member(X0,X1)
| ~ sP1(sK4,X1)
| ~ member(X0,X2)
| ~ sP1(sK3,X2) ),
inference(resolution,[],[f84,f46]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ member(sK6(sK5,X0),sK2)
| ~ member(sK6(sK5,X0),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,X0),X2)
| ~ sP1(sK3,X2)
| sP1(sK5,X0)
| member(sK8(sK5,X0),X0)
| ~ sP0(sK5,X0) ),
inference(resolution,[],[f102,f51]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ member(sK6(sK5,X0),sK2)
| ~ member(sK6(sK5,X0),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,X0),X2)
| ~ sP1(sK3,X2)
| sP1(sK5,X0)
| member(sK7(sK5,X0),X0)
| ~ sP0(sK5,X0) ),
inference(resolution,[],[f102,f52]) ).
fof(f114,plain,
! [X2,X0,X1] :
( apply(sK5,sK7(sK5,X0),sK8(sK5,X0))
| ~ member(sK6(sK5,X0),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,X0),X2)
| ~ sP1(sK3,X2)
| sP1(sK5,X0)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0) ),
inference(resolution,[],[f102,f53]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ apply(sK4,X1,sK10(sK5,X0))
| ~ member(sK11(sK5,X0),sK2)
| sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| apply(sK4,X1,sK11(sK5,X0))
| ~ member(X1,X2)
| ~ member(sK10(sK5,X0),X2)
| ~ member(sK11(sK5,X0),X2)
| ~ sP0(sK4,X2) ),
inference(resolution,[],[f69,f55]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ apply(sK3,X1,sK10(sK5,X0))
| ~ member(sK11(sK5,X0),sK2)
| sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| apply(sK3,X1,sK11(sK5,X0))
| ~ member(X1,X2)
| ~ member(sK10(sK5,X0),X2)
| ~ member(sK11(sK5,X0),X2)
| ~ sP0(sK3,X2) ),
inference(resolution,[],[f76,f55]) ).
fof(f129,plain,
! [X0,X1] :
( apply(sK4,sK8(sK5,X0),sK7(sK5,X0))
| ~ member(sK8(sK5,X0),sK2)
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X1)
| ~ member(sK8(sK5,X0),X1)
| ~ sP1(sK4,X1) ),
inference(resolution,[],[f67,f45]) ).
fof(f132,plain,
! [X0,X1] :
( apply(sK3,sK8(sK5,X0),sK7(sK5,X0))
| ~ member(sK8(sK5,X0),sK2)
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X1)
| ~ member(sK8(sK5,X0),X1)
| ~ sP1(sK3,X1) ),
inference(resolution,[],[f74,f45]) ).
fof(f156,plain,
! [X2,X0,X1] :
( apply(sK3,sK7(sK5,X0),sK8(sK5,X0))
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,X0),X2)
| ~ sP1(sK3,X2)
| sP1(sK5,X0)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0)
| ~ member(sK6(sK5,X0),X1)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2) ),
inference(resolution,[],[f114,f39]) ).
fof(f157,plain,
! [X2,X0,X1] :
( apply(sK4,sK7(sK5,X0),sK8(sK5,X0))
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,X0),X2)
| ~ sP1(sK3,X2)
| sP1(sK5,X0)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0)
| ~ member(sK6(sK5,X0),X1)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2) ),
inference(resolution,[],[f114,f38]) ).
fof(f161,plain,
! [X0,X1] :
( ~ member(sK11(sK5,X0),sK2)
| sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| apply(sK4,sK9(sK5,X0),sK11(sK5,X0))
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK4,X1)
| ~ member(sK9(sK5,X0),sK2)
| ~ member(sK10(sK5,X0),sK2)
| sP0(sK5,X0) ),
inference(resolution,[],[f120,f68]) ).
fof(f166,plain,
! [X0,X1] :
( apply(sK4,sK9(sK5,X0),sK11(sK5,X0))
| sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK4,X1)
| ~ member(sK9(sK5,X0),sK2) ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f185,plain,
! [X0,X1] :
( ~ member(sK11(sK5,X0),sK2)
| sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| apply(sK3,sK9(sK5,X0),sK11(sK5,X0))
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK3,X1)
| ~ member(sK9(sK5,X0),sK2)
| ~ member(sK10(sK5,X0),sK2)
| sP0(sK5,X0) ),
inference(resolution,[],[f125,f75]) ).
fof(f190,plain,
! [X0,X1] :
( apply(sK3,sK9(sK5,X0),sK11(sK5,X0))
| sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK3,X1)
| ~ member(sK9(sK5,X0),sK2) ),
inference(duplicate_literal_removal,[],[f185]) ).
fof(f194,plain,
! [X0,X1] :
( ~ member(sK8(sK5,X0),sK2)
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X1)
| ~ member(sK8(sK5,X0),X1)
| ~ sP1(sK4,X1)
| ~ apply(sK3,sK8(sK5,X0),sK7(sK5,X0))
| apply(sK5,sK8(sK5,X0),sK7(sK5,X0))
| ~ member(sK8(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),sK2) ),
inference(resolution,[],[f129,f40]) ).
fof(f197,plain,
! [X0,X1] :
( ~ member(sK8(sK5,X0),sK2)
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X1)
| ~ member(sK8(sK5,X0),X1)
| ~ sP1(sK4,X1)
| ~ apply(sK3,sK8(sK5,X0),sK7(sK5,X0))
| apply(sK5,sK8(sK5,X0),sK7(sK5,X0)) ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f198,plain,
! [X0,X1] :
( ~ apply(sK3,sK8(sK5,X0),sK7(sK5,X0))
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X1)
| ~ member(sK8(sK5,X0),X1)
| ~ sP1(sK4,X1)
| ~ member(sK8(sK5,X0),sK2) ),
inference(forward_subsumption_resolution,[],[f197,f50]) ).
fof(f228,plain,
! [X2,X0,X1] :
( member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X1)
| ~ member(sK8(sK5,X0),X1)
| ~ sP1(sK4,X1)
| ~ member(sK8(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2)
| member(sK6(sK5,X0),X0)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X2)
| ~ member(sK8(sK5,X0),X2)
| ~ sP1(sK3,X2) ),
inference(resolution,[],[f198,f132]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ member(sK8(sK5,X0),sK2)
| sP1(sK5,X0)
| ~ sP0(sK5,X0)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),X1)
| ~ member(sK8(sK5,X0),X1)
| ~ sP1(sK4,X1)
| member(sK6(sK5,X0),X0)
| ~ member(sK7(sK5,X0),X2)
| ~ member(sK8(sK5,X0),X2)
| ~ sP1(sK3,X2) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f230,plain,
! [X0,X1] :
( sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK4,X1)
| ~ member(sK9(sK5,X0),sK2)
| ~ apply(sK3,sK9(sK5,X0),sK11(sK5,X0))
| apply(sK5,sK9(sK5,X0),sK11(sK5,X0))
| ~ member(sK9(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2) ),
inference(resolution,[],[f166,f40]) ).
fof(f233,plain,
! [X0,X1] :
( sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK4,X1)
| ~ member(sK9(sK5,X0),sK2)
| ~ apply(sK3,sK9(sK5,X0),sK11(sK5,X0))
| apply(sK5,sK9(sK5,X0),sK11(sK5,X0)) ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f234,plain,
! [X0,X1] :
( ~ apply(sK3,sK9(sK5,X0),sK11(sK5,X0))
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK4,X1)
| ~ member(sK9(sK5,X0),sK2)
| sP0(sK5,X0) ),
inference(forward_subsumption_resolution,[],[f233,f61]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK4,X1)
| ~ member(sK9(sK5,X0),sK2)
| sP0(sK5,X0)
| sP0(sK5,X0)
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK11(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X2)
| ~ member(sK10(sK5,X0),X2)
| ~ member(sK11(sK5,X0),X2)
| ~ sP0(sK3,X2)
| ~ member(sK9(sK5,X0),sK2) ),
inference(resolution,[],[f234,f190]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ member(sK11(sK5,X0),sK2)
| ~ member(sK10(sK5,X0),sK2)
| ~ member(sK9(sK5,X0),X1)
| ~ member(sK10(sK5,X0),X1)
| ~ member(sK11(sK5,X0),X1)
| ~ sP0(sK4,X1)
| ~ member(sK9(sK5,X0),sK2)
| sP0(sK5,X0)
| ~ member(sK9(sK5,X0),X2)
| ~ member(sK10(sK5,X0),X2)
| ~ member(sK11(sK5,X0),X2)
| ~ sP0(sK3,X2) ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( apply(sK3,sK8(sK5,X1),sK7(sK5,X1))
| ~ member(sK6(sK5,X1),X2)
| ~ sP1(sK3,X2)
| sP1(sK5,X1)
| ~ member(sK6(sK5,X1),sK2)
| ~ sP0(sK5,X1)
| ~ member(sK6(sK5,X1),X0)
| ~ member(sK7(sK5,X1),sK2)
| ~ member(sK8(sK5,X1),sK2)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,X1),X3)
| ~ member(sK8(sK5,X1),X3)
| ~ sP1(sK3,X3) ),
inference(resolution,[],[f156,f45]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( apply(sK4,sK8(sK5,X1),sK7(sK5,X1))
| ~ member(sK6(sK5,X1),X2)
| ~ sP1(sK3,X2)
| sP1(sK5,X1)
| ~ member(sK6(sK5,X1),sK2)
| ~ sP0(sK5,X1)
| ~ member(sK6(sK5,X1),X0)
| ~ member(sK7(sK5,X1),sK2)
| ~ member(sK8(sK5,X1),sK2)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,X1),X3)
| ~ member(sK8(sK5,X1),X3)
| ~ sP1(sK4,X3) ),
inference(resolution,[],[f157,f45]) ).
fof(f293,plain,
! [X0,X1] :
( sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ member(sK7(sK5,sK2),sK2)
| ~ member(sK7(sK5,sK2),X0)
| ~ member(sK8(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| member(sK6(sK5,sK2),sK2)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP0(sK5,sK2) ),
inference(resolution,[],[f229,f47]) ).
fof(f294,plain,
! [X0,X1] :
( sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ member(sK7(sK5,sK2),sK2)
| ~ member(sK7(sK5,sK2),X0)
| ~ member(sK8(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| member(sK6(sK5,sK2),sK2)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK3,X1) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f295,plain,
! [X0,X1] :
( sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ member(sK7(sK5,sK2),X0)
| ~ member(sK8(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| member(sK6(sK5,sK2),sK2)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK3,X1) ),
inference(forward_subsumption_resolution,[],[f294,f48]) ).
fof(f297,definition,
( spl12_1
<=> ! [X1] :
( ~ member(sK7(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| ~ member(sK8(sK5,sK2),X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f298,plain,
( ! [X1] :
( ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| ~ member(sK7(sK5,sK2),X1) )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,definition,
( spl12_2
<=> member(sK6(sK5,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f301,plain,
( ~ member(sK6(sK5,sK2),sK2)
| spl12_2 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( member(sK6(sK5,sK2),sK2)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f304,definition,
( spl12_3
<=> ! [X0] :
( ~ member(sK7(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK8(sK5,sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f305,plain,
( ! [X0] :
( ~ member(sK8(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,sK2),X0) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,definition,
( spl12_4
<=> sP0(sK5,sK2) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f308,plain,
( sP0(sK5,sK2)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( ~ sP0(sK5,sK2)
| spl12_4 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f311,definition,
( spl12_5
<=> sP1(sK5,sK2) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f312,plain,
( ~ sP1(sK5,sK2)
| spl12_5 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( sP1(sK5,sK2)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f314,plain,
( spl12_1
| spl12_2
| spl12_3
| ~ spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f295,f311,f307,f304,f300,f297]) ).
fof(f364,plain,
! [X0,X1] :
( ~ member(sK10(sK5,sK2),sK2)
| ~ member(sK9(sK5,sK2),X0)
| ~ member(sK10(sK5,sK2),X0)
| ~ member(sK11(sK5,sK2),X0)
| ~ sP0(sK4,X0)
| ~ member(sK9(sK5,sK2),sK2)
| sP0(sK5,sK2)
| ~ member(sK9(sK5,sK2),X1)
| ~ member(sK10(sK5,sK2),X1)
| ~ member(sK11(sK5,sK2),X1)
| ~ sP0(sK3,X1)
| sP0(sK5,sK2) ),
inference(resolution,[],[f238,f56]) ).
fof(f365,plain,
! [X0,X1] :
( ~ member(sK10(sK5,sK2),sK2)
| ~ member(sK9(sK5,sK2),X0)
| ~ member(sK10(sK5,sK2),X0)
| ~ member(sK11(sK5,sK2),X0)
| ~ sP0(sK4,X0)
| ~ member(sK9(sK5,sK2),sK2)
| sP0(sK5,sK2)
| ~ member(sK9(sK5,sK2),X1)
| ~ member(sK10(sK5,sK2),X1)
| ~ member(sK11(sK5,sK2),X1)
| ~ sP0(sK3,X1) ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f366,plain,
! [X0,X1] :
( ~ member(sK9(sK5,sK2),X0)
| ~ member(sK10(sK5,sK2),X0)
| ~ member(sK11(sK5,sK2),X0)
| ~ sP0(sK4,X0)
| ~ member(sK9(sK5,sK2),sK2)
| sP0(sK5,sK2)
| ~ member(sK9(sK5,sK2),X1)
| ~ member(sK10(sK5,sK2),X1)
| ~ member(sK11(sK5,sK2),X1)
| ~ sP0(sK3,X1) ),
inference(forward_subsumption_resolution,[],[f365,f57]) ).
fof(f367,plain,
! [X0,X1] :
( ~ member(sK9(sK5,sK2),X0)
| ~ member(sK10(sK5,sK2),X0)
| ~ member(sK11(sK5,sK2),X0)
| ~ sP0(sK4,X0)
| sP0(sK5,sK2)
| ~ member(sK9(sK5,sK2),X1)
| ~ member(sK10(sK5,sK2),X1)
| ~ member(sK11(sK5,sK2),X1)
| ~ sP0(sK3,X1) ),
inference(forward_subsumption_resolution,[],[f366,f58]) ).
fof(f368,plain,
( ! [X0,X1] :
( ~ member(sK9(sK5,sK2),X0)
| ~ member(sK10(sK5,sK2),X0)
| ~ member(sK11(sK5,sK2),X0)
| ~ sP0(sK4,X0)
| ~ member(sK9(sK5,sK2),X1)
| ~ member(sK10(sK5,sK2),X1)
| ~ member(sK11(sK5,sK2),X1)
| ~ sP0(sK3,X1) )
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f367,f309]) ).
fof(f370,definition,
( spl12_6
<=> ! [X1] :
( ~ member(sK9(sK5,sK2),X1)
| ~ sP0(sK3,X1)
| ~ member(sK11(sK5,sK2),X1)
| ~ member(sK10(sK5,sK2),X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f371,plain,
( ! [X1] :
( ~ member(sK11(sK5,sK2),X1)
| ~ sP0(sK3,X1)
| ~ member(sK9(sK5,sK2),X1)
| ~ member(sK10(sK5,sK2),X1) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,definition,
( spl12_7
<=> ! [X0] :
( ~ member(sK9(sK5,sK2),X0)
| ~ sP0(sK4,X0)
| ~ member(sK11(sK5,sK2),X0)
| ~ member(sK10(sK5,sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f374,plain,
( ! [X0] :
( ~ member(sK11(sK5,sK2),X0)
| ~ sP0(sK4,X0)
| ~ member(sK9(sK5,sK2),X0)
| ~ member(sK10(sK5,sK2),X0) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( spl12_6
| spl12_7
| spl12_4 ),
inference(avatar_split_clause,[],[f368,f307,f373,f370]) ).
fof(f380,plain,
( ~ sP1(sK4,sK2)
| ~ member(sK7(sK5,sK2),sK2)
| member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ spl12_3 ),
inference(resolution,[],[f305,f47]) ).
fof(f381,plain,
( ~ sP1(sK4,sK2)
| member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f380,f48]) ).
fof(f382,plain,
( member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f381,f64]) ).
fof(f383,plain,
( member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f382,f308]) ).
fof(f384,plain,
( spl12_5
| spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f383,f307,f304,f300,f311]) ).
fof(f393,plain,
( equivalence(sK5,sK2)
| ~ spl12_5 ),
inference(resolution,[],[f313,f63]) ).
fof(f395,plain,
( $false
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f393,f43]) ).
fof(f396,plain,
~ spl12_5,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f413,plain,
( ! [X0,X1] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| sP1(sK5,sK2)
| member(sK7(sK5,sK2),sK2)
| ~ sP0(sK5,sK2) )
| ~ spl12_2 ),
inference(resolution,[],[f302,f113]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| sP1(sK5,sK2)
| member(sK8(sK5,sK2),sK2)
| ~ sP0(sK5,sK2) )
| ~ spl12_2 ),
inference(resolution,[],[f302,f112]) ).
fof(f415,plain,
( ! [X0,X1] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| member(sK8(sK5,sK2),sK2)
| ~ sP0(sK5,sK2) )
| ~ spl12_2
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f414,f312]) ).
fof(f416,plain,
( ! [X0,X1] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| member(sK7(sK5,sK2),sK2)
| ~ sP0(sK5,sK2) )
| ~ spl12_2
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f413,f312]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| member(sK8(sK5,sK2),sK2) )
| ~ spl12_2
| ~ spl12_4
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f415,f308]) ).
fof(f418,plain,
( ! [X0,X1] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1)
| member(sK7(sK5,sK2),sK2) )
| ~ spl12_2
| ~ spl12_4
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f416,f308]) ).
fof(f420,definition,
( spl12_8
<=> member(sK8(sK5,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
fof(f422,plain,
( member(sK8(sK5,sK2),sK2)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl12_9
<=> ! [X1] :
( ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f425,plain,
( ! [X1] :
( ~ member(sK6(sK5,sK2),X1)
| ~ sP1(sK3,X1) )
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,definition,
( spl12_10
<=> ! [X0] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
fof(f428,plain,
( ! [X0] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f429,plain,
( spl12_8
| spl12_9
| spl12_10
| ~ spl12_2
| ~ spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f417,f311,f307,f300,f427,f424,f420]) ).
fof(f431,definition,
( spl12_11
<=> member(sK7(sK5,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f433,plain,
( member(sK7(sK5,sK2),sK2)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,plain,
( spl12_11
| spl12_9
| spl12_10
| ~ spl12_2
| ~ spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f418,f311,f307,f300,f427,f424,f431]) ).
fof(f451,plain,
( ~ sP0(sK3,sK2)
| ~ member(sK9(sK5,sK2),sK2)
| ~ member(sK10(sK5,sK2),sK2)
| sP0(sK5,sK2)
| ~ spl12_6 ),
inference(resolution,[],[f371,f56]) ).
fof(f452,plain,
( ~ sP0(sK3,sK2)
| ~ member(sK10(sK5,sK2),sK2)
| sP0(sK5,sK2)
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f451,f58]) ).
fof(f453,plain,
( ~ sP0(sK3,sK2)
| sP0(sK5,sK2)
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f452,f57]) ).
fof(f454,plain,
( sP0(sK5,sK2)
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f453,f79]) ).
fof(f455,plain,
( $false
| spl12_4
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f454,f309]) ).
fof(f456,plain,
( spl12_4
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f463,plain,
( ~ sP0(sK4,sK2)
| ~ member(sK9(sK5,sK2),sK2)
| ~ member(sK10(sK5,sK2),sK2)
| sP0(sK5,sK2)
| ~ spl12_7 ),
inference(resolution,[],[f374,f56]) ).
fof(f464,plain,
( ~ sP0(sK4,sK2)
| ~ member(sK10(sK5,sK2),sK2)
| sP0(sK5,sK2)
| ~ spl12_7 ),
inference(forward_subsumption_resolution,[],[f463,f58]) ).
fof(f465,plain,
( ~ sP0(sK4,sK2)
| sP0(sK5,sK2)
| ~ spl12_7 ),
inference(forward_subsumption_resolution,[],[f464,f57]) ).
fof(f466,plain,
( sP0(sK5,sK2)
| ~ spl12_7 ),
inference(forward_subsumption_resolution,[],[f465,f72]) ).
fof(f467,plain,
( $false
| spl12_4
| ~ spl12_7 ),
inference(forward_subsumption_resolution,[],[f466,f309]) ).
fof(f468,plain,
( spl12_4
| ~ spl12_7 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f469,plain,
( ~ sP1(sK3,sK2)
| ~ member(sK7(sK5,sK2),sK2)
| member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ spl12_1 ),
inference(resolution,[],[f298,f47]) ).
fof(f470,plain,
( ~ sP1(sK3,sK2)
| member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f469,f48]) ).
fof(f471,plain,
( member(sK6(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f470,f65]) ).
fof(f472,plain,
( sP1(sK5,sK2)
| ~ sP0(sK5,sK2)
| ~ spl12_1
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f471,f301]) ).
fof(f473,plain,
( ~ sP0(sK5,sK2)
| ~ spl12_1
| spl12_2
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f472,f312]) ).
fof(f474,plain,
( $false
| ~ spl12_1
| spl12_2
| ~ spl12_4
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f473,f308]) ).
fof(f475,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_4
| spl12_5 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f484,plain,
( ~ sP1(sK3,sK2)
| ~ spl12_2
| ~ spl12_9 ),
inference(resolution,[],[f425,f302]) ).
fof(f485,plain,
( $false
| ~ spl12_2
| ~ spl12_9 ),
inference(forward_subsumption_resolution,[],[f484,f65]) ).
fof(f486,plain,
( ~ spl12_2
| ~ spl12_9 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( ~ member(sK6(sK5,X0),X1)
| ~ sP1(sK3,X1)
| sP1(sK5,X0)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0)
| ~ member(sK6(sK5,X0),X2)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2)
| ~ sP1(sK4,X2)
| ~ member(sK7(sK5,X0),X3)
| ~ member(sK8(sK5,X0),X3)
| ~ sP1(sK4,X3)
| ~ apply(sK3,sK8(sK5,X0),sK7(sK5,X0))
| apply(sK5,sK8(sK5,X0),sK7(sK5,X0))
| ~ member(sK8(sK5,X0),sK2)
| ~ member(sK7(sK5,X0),sK2) ),
inference(resolution,[],[f255,f40]) ).
fof(f491,plain,
! [X2,X3,X0,X1] :
( ~ apply(sK3,sK8(sK5,X0),sK7(sK5,X0))
| ~ sP1(sK3,X1)
| sP1(sK5,X0)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0)
| ~ member(sK6(sK5,X0),X2)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2)
| ~ sP1(sK4,X2)
| ~ member(sK7(sK5,X0),X3)
| ~ member(sK8(sK5,X0),X3)
| ~ sP1(sK4,X3)
| ~ member(sK6(sK5,X0),X1)
| apply(sK5,sK8(sK5,X0),sK7(sK5,X0)) ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f493,plain,
( ~ sP1(sK4,sK2)
| ~ spl12_2
| ~ spl12_10 ),
inference(resolution,[],[f428,f302]) ).
fof(f494,plain,
( $false
| ~ spl12_2
| ~ spl12_10 ),
inference(forward_subsumption_resolution,[],[f493,f64]) ).
fof(f495,plain,
( ~ spl12_2
| ~ spl12_10 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f537,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(sK3,X0)
| sP1(sK5,X1)
| ~ member(sK6(sK5,X1),sK2)
| ~ sP0(sK5,X1)
| ~ member(sK6(sK5,X1),X2)
| ~ member(sK7(sK5,X1),sK2)
| ~ member(sK8(sK5,X1),sK2)
| ~ sP1(sK4,X2)
| ~ member(sK7(sK5,X1),X3)
| ~ member(sK8(sK5,X1),X3)
| ~ sP1(sK4,X3)
| ~ member(sK6(sK5,X1),X0)
| apply(sK5,sK8(sK5,X1),sK7(sK5,X1))
| ~ member(sK6(sK5,X1),X4)
| ~ sP1(sK3,X4)
| sP1(sK5,X1)
| ~ member(sK6(sK5,X1),sK2)
| ~ sP0(sK5,X1)
| ~ member(sK6(sK5,X1),X5)
| ~ member(sK7(sK5,X1),sK2)
| ~ member(sK8(sK5,X1),sK2)
| ~ sP1(sK4,X5)
| ~ member(sK7(sK5,X1),X6)
| ~ member(sK8(sK5,X1),X6)
| ~ sP1(sK3,X6) ),
inference(resolution,[],[f491,f246]) ).
fof(f540,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(sK5,sK8(sK5,X1),sK7(sK5,X1))
| sP1(sK5,X1)
| ~ member(sK6(sK5,X1),sK2)
| ~ sP0(sK5,X1)
| ~ member(sK6(sK5,X1),X2)
| ~ member(sK7(sK5,X1),sK2)
| ~ member(sK8(sK5,X1),sK2)
| ~ sP1(sK4,X2)
| ~ member(sK7(sK5,X1),X3)
| ~ member(sK8(sK5,X1),X3)
| ~ sP1(sK4,X3)
| ~ member(sK6(sK5,X1),X0)
| ~ sP1(sK3,X0)
| ~ member(sK6(sK5,X1),X4)
| ~ sP1(sK3,X4)
| ~ member(sK6(sK5,X1),X5)
| ~ sP1(sK4,X5)
| ~ member(sK7(sK5,X1),X6)
| ~ member(sK8(sK5,X1),X6)
| ~ sP1(sK3,X6) ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f668,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(sK5,X0)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0)
| ~ member(sK6(sK5,X0),X1)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2)
| ~ sP1(sK4,X1)
| ~ member(sK7(sK5,X0),X2)
| ~ member(sK8(sK5,X0),X2)
| ~ sP1(sK4,X2)
| ~ member(sK6(sK5,X0),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,X0),X4)
| ~ sP1(sK3,X4)
| ~ member(sK6(sK5,X0),X5)
| ~ sP1(sK4,X5)
| ~ member(sK7(sK5,X0),X6)
| ~ member(sK8(sK5,X0),X6)
| ~ sP1(sK3,X6)
| ~ apply(sK5,sK6(sK5,X0),sK6(sK5,X0))
| sP1(sK5,X0)
| ~ sP0(sK5,X0) ),
inference(resolution,[],[f540,f54]) ).
fof(f671,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(sK5,X0)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0)
| ~ member(sK6(sK5,X0),X1)
| ~ member(sK7(sK5,X0),sK2)
| ~ member(sK8(sK5,X0),sK2)
| ~ sP1(sK4,X1)
| ~ member(sK7(sK5,X0),X2)
| ~ member(sK8(sK5,X0),X2)
| ~ sP1(sK4,X2)
| ~ member(sK6(sK5,X0),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,X0),X4)
| ~ sP1(sK3,X4)
| ~ member(sK6(sK5,X0),X5)
| ~ sP1(sK4,X5)
| ~ member(sK7(sK5,X0),X6)
| ~ member(sK8(sK5,X0),X6)
| ~ sP1(sK3,X6)
| ~ apply(sK5,sK6(sK5,X0),sK6(sK5,X0)) ),
inference(duplicate_literal_removal,[],[f668]) ).
fof(f676,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ member(sK8(sK5,X0),sK2)
| ~ member(sK6(sK5,X0),sK2)
| ~ sP0(sK5,X0)
| ~ member(sK6(sK5,X0),X1)
| ~ member(sK7(sK5,X0),sK2)
| sP1(sK5,X0)
| ~ sP1(sK4,X1)
| ~ member(sK7(sK5,X0),X2)
| ~ member(sK8(sK5,X0),X2)
| ~ sP1(sK4,X2)
| ~ member(sK6(sK5,X0),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,X0),X4)
| ~ sP1(sK3,X4)
| ~ member(sK6(sK5,X0),X5)
| ~ sP1(sK4,X5)
| ~ member(sK7(sK5,X0),X6)
| ~ member(sK8(sK5,X0),X6)
| ~ sP1(sK3,X6) ),
inference(forward_subsumption_resolution,[],[f671,f102]) ).
fof(f685,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(sK6(sK5,sK2),sK2)
| ~ sP0(sK5,sK2)
| ~ member(sK6(sK5,sK2),X0)
| ~ member(sK7(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,sK2),X2)
| ~ sP1(sK3,X2)
| ~ member(sK6(sK5,sK2),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,sK2),X4)
| ~ sP1(sK4,X4)
| ~ member(sK7(sK5,sK2),X5)
| ~ member(sK8(sK5,sK2),X5)
| ~ sP1(sK3,X5) )
| ~ spl12_8 ),
inference(resolution,[],[f676,f422]) ).
fof(f688,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(sK5,sK2)
| ~ member(sK6(sK5,sK2),X0)
| ~ member(sK7(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,sK2),X2)
| ~ sP1(sK3,X2)
| ~ member(sK6(sK5,sK2),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,sK2),X4)
| ~ sP1(sK4,X4)
| ~ member(sK7(sK5,sK2),X5)
| ~ member(sK8(sK5,sK2),X5)
| ~ sP1(sK3,X5) )
| ~ spl12_2
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f685,f302]) ).
fof(f689,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(sK6(sK5,sK2),X0)
| ~ member(sK7(sK5,sK2),sK2)
| sP1(sK5,sK2)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,sK2),X2)
| ~ sP1(sK3,X2)
| ~ member(sK6(sK5,sK2),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,sK2),X4)
| ~ sP1(sK4,X4)
| ~ member(sK7(sK5,sK2),X5)
| ~ member(sK8(sK5,sK2),X5)
| ~ sP1(sK3,X5) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f688,f308]) ).
fof(f690,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(sK6(sK5,sK2),X0)
| sP1(sK5,sK2)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,sK2),X2)
| ~ sP1(sK3,X2)
| ~ member(sK6(sK5,sK2),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,sK2),X4)
| ~ sP1(sK4,X4)
| ~ member(sK7(sK5,sK2),X5)
| ~ member(sK8(sK5,sK2),X5)
| ~ sP1(sK3,X5) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_subsumption_resolution,[],[f689,f433]) ).
fof(f691,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ member(sK6(sK5,sK2),X0)
| ~ sP1(sK4,X0)
| ~ member(sK7(sK5,sK2),X1)
| ~ member(sK8(sK5,sK2),X1)
| ~ sP1(sK4,X1)
| ~ member(sK6(sK5,sK2),X2)
| ~ sP1(sK3,X2)
| ~ member(sK6(sK5,sK2),X3)
| ~ sP1(sK3,X3)
| ~ member(sK6(sK5,sK2),X4)
| ~ sP1(sK4,X4)
| ~ member(sK7(sK5,sK2),X5)
| ~ member(sK8(sK5,sK2),X5)
| ~ sP1(sK3,X5) )
| ~ spl12_2
| ~ spl12_4
| spl12_5
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_subsumption_resolution,[],[f690,f312]) ).
fof(f692,plain,
( spl12_1
| spl12_10
| spl12_9
| spl12_9
| spl12_3
| spl12_10
| ~ spl12_2
| ~ spl12_4
| spl12_5
| ~ spl12_8
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f691,f431,f420,f311,f307,f300,f427,f304,f424,f424,f427,f297]) ).
fof(f694,plain,
( ~ sP1(sK4,sK2)
| ~ member(sK7(sK5,sK2),sK2)
| ~ spl12_3
| ~ spl12_8 ),
inference(resolution,[],[f305,f422]) ).
fof(f695,plain,
( ~ member(sK7(sK5,sK2),sK2)
| ~ spl12_3
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f694,f64]) ).
fof(f697,plain,
( $false
| ~ spl12_3
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_subsumption_resolution,[],[f695,f433]) ).
fof(f698,plain,
( ~ spl12_3
| ~ spl12_8
| ~ spl12_11 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f700,plain,
( ~ sP1(sK3,sK2)
| ~ member(sK7(sK5,sK2),sK2)
| ~ spl12_1
| ~ spl12_8 ),
inference(resolution,[],[f298,f422]) ).
fof(f701,plain,
( ~ member(sK7(sK5,sK2),sK2)
| ~ spl12_1
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f700,f65]) ).
fof(f703,plain,
( $false
| ~ spl12_1
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_subsumption_resolution,[],[f701,f433]) ).
fof(f704,plain,
( ~ spl12_1
| ~ spl12_8
| ~ spl12_11 ),
inference(avatar_contradiction_clause,[],[f703]) ).
cnf(s1,plain,
( spl12_1
| spl12_2
| spl12_3
| ~ spl12_4
| spl12_5 ),
inference(sat_conversion,[],[f314]) ).
cnf(s2,plain,
( spl12_4
| spl12_6
| spl12_7 ),
inference(sat_conversion,[],[f375]) ).
cnf(s3,plain,
( spl12_2
| ~ spl12_3
| ~ spl12_4
| spl12_5 ),
inference(sat_conversion,[],[f384]) ).
cnf(s4,plain,
~ spl12_5,
inference(sat_conversion,[],[f396]) ).
cnf(s5,plain,
( ~ spl12_2
| ~ spl12_4
| spl12_5
| spl12_8
| spl12_9
| spl12_10 ),
inference(sat_conversion,[],[f429]) ).
cnf(s6,plain,
( ~ spl12_2
| ~ spl12_4
| spl12_5
| spl12_9
| spl12_10
| spl12_11 ),
inference(sat_conversion,[],[f434]) ).
cnf(s7,plain,
( spl12_4
| ~ spl12_6 ),
inference(sat_conversion,[],[f456]) ).
cnf(s8,plain,
( spl12_4
| ~ spl12_7 ),
inference(sat_conversion,[],[f468]) ).
cnf(s9,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_4
| spl12_5 ),
inference(sat_conversion,[],[f475]) ).
cnf(s10,plain,
( ~ spl12_2
| ~ spl12_9 ),
inference(sat_conversion,[],[f486]) ).
cnf(s11,plain,
( ~ spl12_2
| ~ spl12_10 ),
inference(sat_conversion,[],[f495]) ).
cnf(s12,plain,
( spl12_9
| spl12_10
| spl12_3
| ~ spl12_4
| spl12_5
| ~ spl12_8
| spl12_1
| spl12_9
| ~ spl12_2
| spl12_10
| ~ spl12_11 ),
inference(sat_conversion,[],[f692]) ).
cnf(s13,plain,
( spl12_1
| ~ spl12_2
| spl12_3
| ~ spl12_4
| spl12_5
| ~ spl12_8
| spl12_9
| spl12_10
| ~ spl12_11 ),
inference(rat,[],[s12]) ).
cnf(s14,plain,
( ~ spl12_3
| ~ spl12_8
| ~ spl12_11 ),
inference(sat_conversion,[],[f698]) ).
cnf(s15,plain,
( ~ spl12_1
| ~ spl12_8
| ~ spl12_11 ),
inference(sat_conversion,[],[f704]) ).
cnf(s16,plain,
( spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(rat,[],[s3,s4]) ).
cnf(s17,plain,
( spl12_1
| spl12_2
| spl12_3
| ~ spl12_4 ),
inference(rat,[],[s1,s4]) ).
cnf(s18,plain,
spl12_4,
inference(rat,[],[s2,s7,s8]) ).
cnf(s19,plain,
( spl12_2
| spl12_1 ),
inference(rat,[],[s17,s16,s18]) ).
cnf(s20,plain,
spl12_1,
inference(rat,[],[s13,s14,s5,s6,s10,s11,s19,s18,s4]) ).
cnf(s21,plain,
spl12_2,
inference(rat,[],[s9,s4,s18,s20]) ).
cnf(s22,plain,
~ spl12_10,
inference(rat,[],[s11,s21]) ).
cnf(s23,plain,
~ spl12_9,
inference(rat,[],[s10,s21]) ).
cnf(s24,plain,
spl12_11,
inference(rat,[],[s6,s18,s22,s23,s4,s21]) ).
cnf(s25,plain,
spl12_8,
inference(rat,[],[s5,s22,s23,s18,s4,s21]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s15,s20,s24,s25]) ).
fof(f705,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET773+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 02:46:01 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.75/0.84 % (2963059)Detected formulas, will run a generic FOF schedule.
% 0.75/0.84 % (2963070)dis-21_1_sil=8000:lcm=predicate:random_seed=3368006913: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)
% 0.75/0.84 % (2963066)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=307432357:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.75/0.84 % (2963065)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=2030997273:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.75/0.84 % (2963069)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1222147516:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.75/0.84 % (2963064)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=4197866324:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.75/0.84 % (2963067)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4272144799:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.75/0.84 % (2963068)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=546159271:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.75/0.84 % (2963067)First to succeed.
% 0.75/0.84 % (2963067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2963059"
% 0.75/0.84 % (2963068)Instruction limit reached!
% 0.75/0.84 % (2963068)------------------------------
% 0.75/0.84 % (2963068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/0.84 % (2963068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.84 % (2963068)CaDiCaL version: 2.1.3
% 0.75/0.84 % (2963068)Termination reason: Instruction limit
% 0.75/0.84 % (2963068)Termination phase: Saturation
% 0.75/0.84 % (2963068)Time elapsed: 0.037 s
% 0.75/0.84 % (2963068)Peak memory usage: 88 MB
% 0.75/0.84 % (2963068)Instructions burned: 121 (million)
% 0.75/0.84 % (2963070)Instruction limit reached!
% 0.75/0.84 % (2963070)------------------------------
% 0.75/0.84 % (2963070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/0.84 % (2963070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.84 % (2963070)CaDiCaL version: 2.1.3
% 0.75/0.84 % (2963070)Termination reason: Instruction limit
% 0.75/0.84 % (2963070)Termination phase: Saturation
% 0.75/0.84 % (2963070)Time elapsed: 0.040 s
% 0.75/0.84 % (2963070)Peak memory usage: 88 MB
% 0.75/0.84 % (2963070)Instructions burned: 131 (million)
% 0.75/0.84 % (2963069)Instruction limit reached!
% 0.75/0.84 % (2963069)------------------------------
% 0.75/0.84 % (2963069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/0.84 % (2963069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.84 % (2963069)CaDiCaL version: 2.1.3
% 0.75/0.84 % (2963069)Termination reason: Instruction limit
% 0.75/0.84 % (2963069)Termination phase: Saturation
% 0.75/0.84 % (2963069)Time elapsed: 0.049 s
% 0.75/0.84 % (2963069)Peak memory usage: 89 MB
% 0.75/0.84 % (2963069)Instructions burned: 139 (million)
% 0.75/0.84 % (2963078)lrs+10_1_sil=8000:sp=occurrence:random_seed=3666503860:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.75/0.84 % (2963079)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2259053440:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.75/0.84 % (2963079)Refutation not found, incomplete strategy
% 0.75/0.84 % (2963079)------------------------------
% 0.75/0.84 % (2963079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.75/0.84 % (2963079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.84 % (2963079)CaDiCaL version: 2.1.3
% 0.75/0.84 % (2963079)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.84 % (2963079)Time elapsed: 0.001 s
% 0.75/0.84 % (2963079)Peak memory usage: 88 MB
% 0.75/0.84 % (2963079)Instructions burned: 2 (million)
% 0.75/0.84 % (2963080)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2327790501:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 0.75/0.84 % (2963067)Refutation found. Thanks to Tanya!
% 0.75/0.84 % SZS status Theorem for theBenchmark
% 0.75/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.94 % (2963067)------------------------------
% 2.43/0.94 % (2963067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/0.94 % (2963067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.94 % (2963067)CaDiCaL version: 2.1.3
% 2.43/0.94 % (2963067)Termination reason: Refutation
% 2.43/0.94 % (2963067)Time elapsed: 0.018 s
% 2.43/0.94 % (2963067)Peak memory usage: 89 MB
% 2.43/0.94 % (2963067)Instructions burned: 59 (million)
% 2.43/0.94 % (2963067)------------------------------
% 2.43/0.94 % (2963067)------------------------------
% 2.43/0.94 % (2963059)Success in time 0.314 s
% 2.43/0.94 % Vampire exiting
%------------------------------------------------------------------------------