%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET750+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:41:49 PM UTC 2026
% Result : Theorem 2.16s 1.80s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 44
% Syntax : Number of formulae : 313 ( 24 unt; 40 def)
% Number of atoms : 1188 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 1448 ( 573 ~; 700 |; 112 &)
% ( 56 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 40 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-5 aty)
% Number of variables : 436 ( 0 sgn 396 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0,X1,X2,X3,X4] :
( ( member(X3,X1)
& member(X4,X2) )
=> ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_function) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( ( member(X5,X1)
& member(X6,X3)
& member(X7,X1)
& member(X8,X3)
& apply(X2,X5,X7)
& apply(X0,X5,X6)
& apply(X0,X7,X8) )
=> apply(X4,X6,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',increasing_function) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> ( maps(X0,X1,X3)
& one_to_one(X0,X1,X3)
& ! [X5,X6,X7,X8] :
( ( member(X5,X1)
& member(X6,X3)
& member(X7,X1)
& member(X8,X3)
& apply(X0,X5,X6)
& apply(X0,X7,X8) )
=> ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isomorphism) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& one_to_one(X0,X1,X2) )
=> ( isomorphism(X0,X1,X3,X2,X4)
<=> ( increasing(X0,X1,X3,X2,X4)
& increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII41) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& one_to_one(X0,X1,X2) )
=> ( isomorphism(X0,X1,X3,X2,X4)
<=> ( increasing(X0,X1,X3,X2,X4)
& increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f32,plain,
? [X0,X1,X2,X3,X4] :
( ( isomorphism(X0,X1,X3,X2,X4)
<~> ( increasing(X0,X1,X3,X2,X4)
& increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3) ) )
& maps(X0,X1,X2)
& one_to_one(X0,X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f33,plain,
? [X0,X1,X2,X3,X4] :
( ( isomorphism(X0,X1,X3,X2,X4)
<~> ( increasing(X0,X1,X3,X2,X4)
& increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3) ) )
& maps(X0,X1,X2)
& one_to_one(X0,X1,X2) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> ( maps(X0,X1,X3)
& one_to_one(X0,X1,X3)
& ! [X5,X6,X7,X8] :
( ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) )
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> ( maps(X0,X1,X3)
& one_to_one(X0,X1,X3)
& ! [X5,X6,X7,X8] :
( ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) )
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) ) ) ),
inference(flattening,[],[f34]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4] :
( ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) )
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] :
( ( apply(X0,X3,X4)
<=> apply(inverse_function(X0,X1,X2),X4,X3) )
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X2,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X2,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) ) ),
inference(flattening,[],[f40]) ).
fof(f45,definition,
! [X3,X1,X0,X4,X2] :
( sP0(X3,X1,X0,X4,X2)
<=> ( maps(X0,X1,X3)
& one_to_one(X0,X1,X3)
& ! [X5,X6,X7,X8] :
( ( apply(X2,X5,X7)
<=> apply(X4,X6,X8) )
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4] :
( isomorphism(X0,X1,X2,X3,X4)
<=> sP0(X3,X1,X0,X4,X2) ),
inference(definition_folding,[],[f35,f45]) ).
fof(f49,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ increasing(X0,X1,X3,X2,X4)
| ~ increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
| ~ isomorphism(X0,X1,X3,X2,X4) )
& ( ( increasing(X0,X1,X3,X2,X4)
& increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3) )
| isomorphism(X0,X1,X3,X2,X4) )
& maps(X0,X1,X2)
& one_to_one(X0,X1,X2) ),
inference(nnf_transformation,[],[f33]) ).
fof(f50,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ increasing(X0,X1,X3,X2,X4)
| ~ increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3)
| ~ isomorphism(X0,X1,X3,X2,X4) )
& ( ( increasing(X0,X1,X3,X2,X4)
& increasing(inverse_function(X0,X1,X2),X2,X4,X1,X3) )
| isomorphism(X0,X1,X3,X2,X4) )
& maps(X0,X1,X2)
& one_to_one(X0,X1,X2) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
( ( ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ isomorphism(sK2,sK3,sK5,sK4,sK6) )
& ( ( increasing(sK2,sK3,sK5,sK4,sK6)
& increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) )
| isomorphism(sK2,sK3,sK5,sK4,sK6) )
& maps(sK2,sK3,sK4)
& one_to_one(sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6)],[f50]) ).
fof(f52,plain,
! [X3,X1,X0,X4,X2] :
( ( sP0(X3,X1,X0,X4,X2)
| ~ maps(X0,X1,X3)
| ~ one_to_one(X0,X1,X3)
| ? [X5,X6,X7,X8] :
( ( ~ apply(X4,X6,X8)
| ~ apply(X2,X5,X7) )
& ( apply(X4,X6,X8)
| apply(X2,X5,X7) )
& member(X5,X1)
& member(X6,X3)
& member(X7,X1)
& member(X8,X3)
& apply(X0,X5,X6)
& apply(X0,X7,X8) ) )
& ( ( maps(X0,X1,X3)
& one_to_one(X0,X1,X3)
& ! [X5,X6,X7,X8] :
( ( ( apply(X2,X5,X7)
| ~ apply(X4,X6,X8) )
& ( apply(X4,X6,X8)
| ~ apply(X2,X5,X7) ) )
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) ) )
| ~ sP0(X3,X1,X0,X4,X2) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f53,plain,
! [X3,X1,X0,X4,X2] :
( ( sP0(X3,X1,X0,X4,X2)
| ~ maps(X0,X1,X3)
| ~ one_to_one(X0,X1,X3)
| ? [X5,X6,X7,X8] :
( ( ~ apply(X4,X6,X8)
| ~ apply(X2,X5,X7) )
& ( apply(X4,X6,X8)
| apply(X2,X5,X7) )
& member(X5,X1)
& member(X6,X3)
& member(X7,X1)
& member(X8,X3)
& apply(X0,X5,X6)
& apply(X0,X7,X8) ) )
& ( ( maps(X0,X1,X3)
& one_to_one(X0,X1,X3)
& ! [X5,X6,X7,X8] :
( ( ( apply(X2,X5,X7)
| ~ apply(X4,X6,X8) )
& ( apply(X4,X6,X8)
| ~ apply(X2,X5,X7) ) )
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) ) )
| ~ sP0(X3,X1,X0,X4,X2) ) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4] :
( ( sP0(X0,X1,X2,X3,X4)
| ~ maps(X2,X1,X0)
| ~ one_to_one(X2,X1,X0)
| ? [X5,X6,X7,X8] :
( ( ~ apply(X3,X6,X8)
| ~ apply(X4,X5,X7) )
& ( apply(X3,X6,X8)
| apply(X4,X5,X7) )
& member(X5,X1)
& member(X6,X0)
& member(X7,X1)
& member(X8,X0)
& apply(X2,X5,X6)
& apply(X2,X7,X8) ) )
& ( ( maps(X2,X1,X0)
& one_to_one(X2,X1,X0)
& ! [X9,X10,X11,X12] :
( ( ( apply(X4,X9,X11)
| ~ apply(X3,X10,X12) )
& ( apply(X3,X10,X12)
| ~ apply(X4,X9,X11) ) )
| ~ member(X9,X1)
| ~ member(X10,X0)
| ~ member(X11,X1)
| ~ member(X12,X0)
| ~ apply(X2,X9,X10)
| ~ apply(X2,X11,X12) ) )
| ~ sP0(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] :
( ( sP0(X0,X1,X2,X3,X4)
| ~ maps(X2,X1,X0)
| ~ one_to_one(X2,X1,X0)
| ( ( ~ apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| ~ apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)) )
& ( apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)) )
& member(sK7(X0,X1,X2,X3,X4),X1)
& member(sK8(X0,X1,X2,X3,X4),X0)
& member(sK9(X0,X1,X2,X3,X4),X1)
& member(sK10(X0,X1,X2,X3,X4),X0)
& apply(X2,sK7(X0,X1,X2,X3,X4),sK8(X0,X1,X2,X3,X4))
& apply(X2,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ) )
& ( ( maps(X2,X1,X0)
& one_to_one(X2,X1,X0)
& ! [X9,X10,X11,X12] :
( ( ( apply(X4,X9,X11)
| ~ apply(X3,X10,X12) )
& ( apply(X3,X10,X12)
| ~ apply(X4,X9,X11) ) )
| ~ member(X9,X1)
| ~ member(X10,X0)
| ~ member(X11,X1)
| ~ member(X12,X0)
| ~ apply(X2,X9,X10)
| ~ apply(X2,X11,X12) ) )
| ~ sP0(X0,X1,X2,X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X5,sK7(X0,X1,X2,X3,X4)),skolemize(X6,sK8(X0,X1,X2,X3,X4)),skolemize(X7,sK9(X0,X1,X2,X3,X4)),skolemize(X8,sK10(X0,X1,X2,X3,X4))],[f54]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4] :
( ( isomorphism(X0,X1,X2,X3,X4)
| ~ sP0(X3,X1,X0,X4,X2) )
& ( sP0(X3,X1,X0,X4,X2)
| ~ isomorphism(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( ( ( apply(X0,X3,X4)
| ~ apply(inverse_function(X0,X1,X2),X4,X3) )
& ( apply(inverse_function(X0,X1,X2),X4,X3)
| ~ apply(X0,X3,X4) ) )
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(nnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(X0,X1,X2,X3,X4)
| ? [X5,X6,X7,X8] :
( ~ apply(X4,X6,X8)
& member(X5,X1)
& member(X6,X3)
& member(X7,X1)
& member(X8,X3)
& apply(X2,X5,X7)
& apply(X0,X5,X6)
& apply(X0,X7,X8) ) )
& ( ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ member(X5,X1)
| ~ member(X6,X3)
| ~ member(X7,X1)
| ~ member(X8,X3)
| ~ apply(X2,X5,X7)
| ~ apply(X0,X5,X6)
| ~ apply(X0,X7,X8) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(X0,X1,X2,X3,X4)
| ? [X5,X6,X7,X8] :
( ~ apply(X4,X6,X8)
& member(X5,X1)
& member(X6,X3)
& member(X7,X1)
& member(X8,X3)
& apply(X2,X5,X7)
& apply(X0,X5,X6)
& apply(X0,X7,X8) ) )
& ( ! [X9,X10,X11,X12] :
( apply(X4,X10,X12)
| ~ member(X9,X1)
| ~ member(X10,X3)
| ~ member(X11,X1)
| ~ member(X12,X3)
| ~ apply(X2,X9,X11)
| ~ apply(X0,X9,X10)
| ~ apply(X0,X11,X12) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(X0,X1,X2,X3,X4)
| ( ~ apply(X4,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4))
& member(sK16(X0,X1,X2,X3,X4),X1)
& member(sK17(X0,X1,X2,X3,X4),X3)
& member(sK18(X0,X1,X2,X3,X4),X1)
& member(sK19(X0,X1,X2,X3,X4),X3)
& apply(X2,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4))
& apply(X0,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4))
& apply(X0,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4)) ) )
& ( ! [X9,X10,X11,X12] :
( apply(X4,X10,X12)
| ~ member(X9,X1)
| ~ member(X10,X3)
| ~ member(X11,X1)
| ~ member(X12,X3)
| ~ apply(X2,X9,X11)
| ~ apply(X0,X9,X10)
| ~ apply(X0,X11,X12) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19]),skolemize(X5,sK16(X0,X1,X2,X3,X4)),skolemize(X6,sK17(X0,X1,X2,X3,X4)),skolemize(X7,sK18(X0,X1,X2,X3,X4)),skolemize(X8,sK19(X0,X1,X2,X3,X4))],[f68]) ).
fof(f79,plain,
one_to_one(sK2,sK3,sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f80,plain,
maps(sK2,sK3,sK4),
inference(cnf_transformation,[],[f51]) ).
fof(f81,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| isomorphism(sK2,sK3,sK5,sK4,sK6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f82,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| isomorphism(sK2,sK3,sK5,sK4,sK6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f83,plain,
( ~ increasing(sK2,sK3,sK5,sK4,sK6)
| ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ isomorphism(sK2,sK3,sK5,sK4,sK6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f84,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( ~ sP0(X0,X1,X2,X3,X4)
| ~ apply(X4,X9,X11)
| ~ member(X9,X1)
| ~ member(X10,X0)
| ~ member(X11,X1)
| ~ member(X12,X0)
| ~ apply(X2,X9,X10)
| ~ apply(X2,X11,X12)
| apply(X3,X10,X12) ),
inference(cnf_transformation,[],[f55]) ).
fof(f85,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( ~ sP0(X0,X1,X2,X3,X4)
| ~ apply(X3,X10,X12)
| ~ member(X9,X1)
| ~ member(X10,X0)
| ~ member(X11,X1)
| ~ member(X12,X0)
| ~ apply(X2,X9,X10)
| ~ apply(X2,X11,X12)
| apply(X4,X9,X11) ),
inference(cnf_transformation,[],[f55]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| apply(X2,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| apply(X2,sK7(X0,X1,X2,X3,X4),sK8(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| member(sK10(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| member(sK9(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| member(sK8(X0,X1,X2,X3,X4),X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| member(sK7(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X4] :
( ~ one_to_one(X2,X1,X0)
| ~ maps(X2,X1,X0)
| sP0(X0,X1,X2,X3,X4)
| ~ apply(X3,sK8(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
| ~ apply(X4,sK7(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4] :
( ~ isomorphism(X0,X1,X2,X3,X4)
| sP0(X3,X1,X0,X4,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X4] :
( isomorphism(X0,X1,X2,X3,X4)
| ~ sP0(X3,X1,X0,X4,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] :
( apply(inverse_function(X0,X1,X2),X4,X3)
| ~ apply(X0,X3,X4)
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(inverse_function(X0,X1,X2),X4,X3)
| apply(X0,X3,X4)
| ~ member(X3,X1)
| ~ member(X4,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f115,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( ~ increasing(X0,X1,X2,X3,X4)
| ~ member(X9,X1)
| ~ member(X10,X3)
| ~ member(X11,X1)
| ~ member(X12,X3)
| ~ apply(X2,X9,X11)
| ~ apply(X0,X9,X10)
| ~ apply(X0,X11,X12)
| apply(X4,X10,X12) ),
inference(cnf_transformation,[],[f69]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK18(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK16(X0,X1,X2,X3,X4),sK17(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X2,sK16(X0,X1,X2,X3,X4),sK18(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK19(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK18(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK17(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f122,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK16(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f123,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| ~ apply(X4,sK17(X0,X1,X2,X3,X4),sK19(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f153,definition,
( spl26_1
<=> isomorphism(sK2,sK3,sK5,sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f154,plain,
( isomorphism(sK2,sK3,sK5,sK4,sK6)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,definition,
( spl26_2
<=> increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f157,plain,
( increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f81,f156,f153]) ).
fof(f160,definition,
( spl26_3
<=> increasing(sK2,sK3,sK5,sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
fof(f161,plain,
( increasing(sK2,sK3,sK5,sK4,sK6)
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f162,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f82,f160,f153]) ).
fof(f163,plain,
( ~ isomorphism(sK2,sK3,sK5,sK4,sK6)
| spl26_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f164,plain,
( ~ increasing(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)
| spl26_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f165,plain,
( ~ increasing(sK2,sK3,sK5,sK4,sK6)
| spl26_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f166,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f83,f160,f156,f153]) ).
fof(f167,plain,
( ~ sP0(sK4,sK3,sK2,sK6,sK5)
| spl26_1 ),
inference(resolution,[],[f97,f163]) ).
fof(f222,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| member(sK10(sK4,sK3,sK2,X0,X1),sK4) ),
inference(resolution,[],[f90,f79]) ).
fof(f225,definition,
( spl26_4
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK10(sK4,sK3,sK2,X0,X1),sK4) ) ),
introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).
fof(f226,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK10(sK4,sK3,sK2,X0,X1),sK4) )
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,definition,
( spl26_5
<=> maps(sK2,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl26_5])],[avatar_definition]) ).
fof(f229,plain,
( ~ maps(sK2,sK3,sK4)
| spl26_5 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( spl26_4
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f222,f228,f225]) ).
fof(f231,plain,
( $false
| spl26_5 ),
inference(resolution,[],[f229,f80]) ).
fof(f232,plain,
spl26_5,
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f233,plain,
( member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| spl26_1
| ~ spl26_4 ),
inference(resolution,[],[f226,f167]) ).
fof(f236,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| member(sK9(sK4,sK3,sK2,X0,X1),sK3) ),
inference(resolution,[],[f91,f79]) ).
fof(f239,definition,
( spl26_6
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK9(sK4,sK3,sK2,X0,X1),sK3) ) ),
introduced(definition,[new_symbols(definition,[spl26_6])],[avatar_definition]) ).
fof(f240,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK9(sK4,sK3,sK2,X0,X1),sK3) )
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( spl26_6
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f236,f228,f239]) ).
fof(f242,plain,
( member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| spl26_1
| ~ spl26_6 ),
inference(resolution,[],[f240,f167]) ).
fof(f247,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| member(sK8(sK4,sK3,sK2,X0,X1),sK4) ),
inference(resolution,[],[f92,f79]) ).
fof(f250,definition,
( spl26_7
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK8(sK4,sK3,sK2,X0,X1),sK4) ) ),
introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).
fof(f251,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK8(sK4,sK3,sK2,X0,X1),sK4) )
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f252,plain,
( spl26_7
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f247,f228,f250]) ).
fof(f253,plain,
( member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| spl26_1
| ~ spl26_7 ),
inference(resolution,[],[f251,f167]) ).
fof(f258,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| member(sK7(sK4,sK3,sK2,X0,X1),sK3) ),
inference(resolution,[],[f93,f79]) ).
fof(f261,definition,
( spl26_8
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK7(sK4,sK3,sK2,X0,X1),sK3) ) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f262,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| member(sK7(sK4,sK3,sK2,X0,X1),sK3) )
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( spl26_8
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f258,f228,f261]) ).
fof(f264,plain,
( member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| spl26_1
| ~ spl26_8 ),
inference(resolution,[],[f262,f167]) ).
fof(f284,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| apply(sK2,sK9(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1)) ),
inference(resolution,[],[f88,f79]) ).
fof(f288,definition,
( spl26_9
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| apply(sK2,sK9(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f289,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| apply(sK2,sK9(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1)) )
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( spl26_9
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f284,f228,f288]) ).
fof(f291,plain,
( apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| spl26_1
| ~ spl26_9 ),
inference(resolution,[],[f289,f167]) ).
fof(f301,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| apply(sK2,sK7(sK4,sK3,sK2,X0,X1),sK8(sK4,sK3,sK2,X0,X1)) ),
inference(resolution,[],[f89,f79]) ).
fof(f306,definition,
( spl26_10
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| apply(sK2,sK7(sK4,sK3,sK2,X0,X1),sK8(sK4,sK3,sK2,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f307,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| apply(sK2,sK7(sK4,sK3,sK2,X0,X1),sK8(sK4,sK3,sK2,X0,X1)) )
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( spl26_10
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f301,f228,f306]) ).
fof(f309,plain,
( apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),sK8(sK4,sK3,sK2,sK6,sK5))
| spl26_1
| ~ spl26_10 ),
inference(resolution,[],[f307,f167]) ).
fof(f361,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| apply(X0,sK8(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1))
| apply(X1,sK7(sK4,sK3,sK2,X0,X1),sK9(sK4,sK3,sK2,X0,X1)) ),
inference(resolution,[],[f94,f79]) ).
fof(f367,definition,
( spl26_11
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| apply(X1,sK7(sK4,sK3,sK2,X0,X1),sK9(sK4,sK3,sK2,X0,X1))
| apply(X0,sK8(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl26_11])],[avatar_definition]) ).
fof(f368,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| apply(X1,sK7(sK4,sK3,sK2,X0,X1),sK9(sK4,sK3,sK2,X0,X1))
| apply(X0,sK8(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1)) )
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f369,plain,
( spl26_11
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f361,f228,f367]) ).
fof(f377,definition,
( spl26_12
<=> apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5)) ),
introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).
fof(f378,plain,
( apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f380,definition,
( spl26_13
<=> apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5)) ),
introduced(definition,[new_symbols(definition,[spl26_13])],[avatar_definition]) ).
fof(f381,plain,
( apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5))
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f383,plain,
( sP0(sK4,sK3,sK2,sK6,sK5)
| ~ spl26_1 ),
inference(resolution,[],[f154,f96]) ).
fof(f384,plain,
( apply(inverse_function(sK2,sK3,sK4),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| spl26_2 ),
inference(resolution,[],[f164,f116]) ).
fof(f385,plain,
( apply(inverse_function(sK2,sK3,sK4),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| spl26_2 ),
inference(resolution,[],[f164,f117]) ).
fof(f387,plain,
( member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| spl26_2 ),
inference(resolution,[],[f164,f119]) ).
fof(f388,plain,
( member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| spl26_2 ),
inference(resolution,[],[f164,f120]) ).
fof(f390,plain,
( member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| spl26_2 ),
inference(resolution,[],[f164,f122]) ).
fof(f397,plain,
( apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| spl26_2 ),
inference(resolution,[],[f384,f111]) ).
fof(f399,definition,
( spl26_14
<=> member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4) ),
introduced(definition,[new_symbols(definition,[spl26_14])],[avatar_definition]) ).
fof(f400,plain,
( ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| spl26_14 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f402,definition,
( spl26_15
<=> member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f403,plain,
( ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| spl26_15 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,definition,
( spl26_16
<=> apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
introduced(definition,[new_symbols(definition,[spl26_16])],[avatar_definition]) ).
fof(f407,plain,
( ~ spl26_14
| ~ spl26_15
| spl26_16
| spl26_2 ),
inference(avatar_split_clause,[],[f397,f156,f405,f402,f399]) ).
fof(f408,plain,
( $false
| spl26_2
| spl26_14 ),
inference(resolution,[],[f400,f388]) ).
fof(f409,plain,
( spl26_2
| spl26_14 ),
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f410,plain,
( apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| spl26_2 ),
inference(resolution,[],[f385,f111]) ).
fof(f412,definition,
( spl26_17
<=> member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4) ),
introduced(definition,[new_symbols(definition,[spl26_17])],[avatar_definition]) ).
fof(f413,plain,
( ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| spl26_17 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,definition,
( spl26_18
<=> member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3) ),
introduced(definition,[new_symbols(definition,[spl26_18])],[avatar_definition]) ).
fof(f416,plain,
( ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| spl26_18 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f418,definition,
( spl26_19
<=> apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5)) ),
introduced(definition,[new_symbols(definition,[spl26_19])],[avatar_definition]) ).
fof(f420,plain,
( ~ spl26_17
| ~ spl26_18
| spl26_19
| spl26_2 ),
inference(avatar_split_clause,[],[f410,f156,f418,f415,f412]) ).
fof(f421,plain,
( $false
| spl26_2
| spl26_15 ),
inference(resolution,[],[f403,f387]) ).
fof(f422,plain,
( spl26_2
| spl26_15 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f423,plain,
( $false
| spl26_2
| spl26_17 ),
inference(resolution,[],[f413,f390]) ).
fof(f424,plain,
( spl26_2
| spl26_17 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f436,plain,
! [X0,X1] :
( ~ maps(sK2,sK3,sK4)
| sP0(sK4,sK3,sK2,X0,X1)
| ~ apply(X0,sK8(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1))
| ~ apply(X1,sK7(sK4,sK3,sK2,X0,X1),sK9(sK4,sK3,sK2,X0,X1)) ),
inference(resolution,[],[f95,f79]) ).
fof(f442,definition,
( spl26_20
<=> ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| ~ apply(X1,sK7(sK4,sK3,sK2,X0,X1),sK9(sK4,sK3,sK2,X0,X1))
| ~ apply(X0,sK8(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f443,plain,
( ! [X0,X1] :
( sP0(sK4,sK3,sK2,X0,X1)
| ~ apply(X1,sK7(sK4,sK3,sK2,X0,X1),sK9(sK4,sK3,sK2,X0,X1))
| ~ apply(X0,sK8(sK4,sK3,sK2,X0,X1),sK10(sK4,sK3,sK2,X0,X1)) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f444,plain,
( spl26_20
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f436,f228,f442]) ).
fof(f452,plain,
( ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| spl26_12 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f453,plain,
( ~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5))
| spl26_13 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f459,definition,
( spl26_21
<=> member(sK9(sK4,sK3,sK2,sK6,sK5),sK3) ),
introduced(definition,[new_symbols(definition,[spl26_21])],[avatar_definition]) ).
fof(f460,plain,
( ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| spl26_21 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f462,definition,
( spl26_22
<=> ! [X0,X1] :
( ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ apply(inverse_function(sK2,sK3,sK4),X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(inverse_function(sK2,sK3,sK4),X1,sK7(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK6,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_22])],[avatar_definition]) ).
fof(f463,plain,
( ! [X0,X1] :
( ~ apply(inverse_function(sK2,sK3,sK4),X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(inverse_function(sK2,sK3,sK4),X1,sK7(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK6,X1,X0)
| ~ member(X1,sK4)
| ~ member(X0,sK4) )
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f465,definition,
( spl26_23
<=> member(sK7(sK4,sK3,sK2,sK6,sK5),sK3) ),
introduced(definition,[new_symbols(definition,[spl26_23])],[avatar_definition]) ).
fof(f466,plain,
( ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| spl26_23 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( $false
| spl26_1
| ~ spl26_6
| spl26_21 ),
inference(resolution,[],[f460,f242]) ).
fof(f471,plain,
( spl26_1
| ~ spl26_6
| spl26_21 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f476,plain,
( member(sK19(sK2,sK3,sK5,sK4,sK6),sK4)
| spl26_3 ),
inference(resolution,[],[f165,f119]) ).
fof(f480,plain,
( ~ apply(sK6,sK17(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| spl26_3 ),
inference(resolution,[],[f165,f123]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] :
( apply(sK6,X2,X3)
| ~ member(X0,sK3)
| ~ member(X2,sK4)
| ~ member(X1,sK3)
| ~ member(X3,sK4)
| ~ apply(sK2,X0,X2)
| ~ apply(sK2,X1,X3)
| ~ apply(sK5,X0,X1) )
| ~ spl26_1 ),
inference(resolution,[],[f383,f84]) ).
fof(f490,plain,
( ! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(sK17(sK2,sK3,sK5,sK4,sK6),sK4)
| ~ member(X1,sK3)
| ~ member(sK19(sK2,sK3,sK5,sK4,sK6),sK4)
| ~ apply(sK2,X0,sK17(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,X1,sK19(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK5,X0,X1) )
| ~ spl26_1
| spl26_3 ),
inference(resolution,[],[f483,f480]) ).
fof(f493,definition,
( spl26_24
<=> member(sK19(sK2,sK3,sK5,sK4,sK6),sK4) ),
introduced(definition,[new_symbols(definition,[spl26_24])],[avatar_definition]) ).
fof(f494,plain,
( ~ member(sK19(sK2,sK3,sK5,sK4,sK6),sK4)
| spl26_24 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f496,definition,
( spl26_25
<=> member(sK17(sK2,sK3,sK5,sK4,sK6),sK4) ),
introduced(definition,[new_symbols(definition,[spl26_25])],[avatar_definition]) ).
fof(f497,plain,
( ~ member(sK17(sK2,sK3,sK5,sK4,sK6),sK4)
| spl26_25 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,definition,
( spl26_26
<=> ! [X0,X1] :
( ~ member(X0,sK3)
| ~ apply(sK5,X0,X1)
| ~ apply(sK2,X0,sK17(sK2,sK3,sK5,sK4,sK6))
| ~ member(X1,sK3)
| ~ apply(sK2,X1,sK19(sK2,sK3,sK5,sK4,sK6)) ) ),
introduced(definition,[new_symbols(definition,[spl26_26])],[avatar_definition]) ).
fof(f500,plain,
( ! [X0,X1] :
( ~ apply(sK5,X0,X1)
| ~ apply(sK2,X0,sK17(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,X1,sK19(sK2,sK3,sK5,sK4,sK6))
| ~ member(X1,sK3)
| ~ member(X0,sK3) )
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( ~ spl26_24
| ~ spl26_25
| spl26_26
| ~ spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f490,f160,f153,f499,f496,f493]) ).
fof(f502,plain,
( $false
| spl26_3
| spl26_24 ),
inference(resolution,[],[f494,f476]) ).
fof(f503,plain,
( spl26_3
| spl26_24 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f515,plain,
( $false
| spl26_1
| ~ spl26_8
| spl26_23 ),
inference(resolution,[],[f466,f264]) ).
fof(f518,plain,
( spl26_1
| ~ spl26_8
| spl26_23 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f528,definition,
( spl26_27
<=> member(sK10(sK4,sK3,sK2,sK6,sK5),sK4) ),
introduced(definition,[new_symbols(definition,[spl26_27])],[avatar_definition]) ).
fof(f529,plain,
( ~ member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| spl26_27 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f531,definition,
( spl26_28
<=> ! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ apply(sK2,X0,sK10(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK2,X1,sK8(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK5,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_28])],[avatar_definition]) ).
fof(f532,plain,
( ! [X0,X1] :
( ~ apply(sK2,X0,sK10(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK2,X1,sK8(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK5,X1,X0)
| ~ member(X1,sK3)
| ~ member(X0,sK3) )
| ~ spl26_28 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f534,definition,
( spl26_29
<=> member(sK8(sK4,sK3,sK2,sK6,sK5),sK4) ),
introduced(definition,[new_symbols(definition,[spl26_29])],[avatar_definition]) ).
fof(f535,plain,
( ~ member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| spl26_29 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f537,plain,
( $false
| spl26_1
| ~ spl26_4
| spl26_27 ),
inference(resolution,[],[f529,f233]) ).
fof(f540,plain,
( spl26_1
| ~ spl26_4
| spl26_27 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f544,plain,
( apply(sK5,sK16(sK2,sK3,sK5,sK4,sK6),sK18(sK2,sK3,sK5,sK4,sK6))
| spl26_3 ),
inference(resolution,[],[f165,f118]) ).
fof(f546,plain,
( member(sK18(sK2,sK3,sK5,sK4,sK6),sK3)
| spl26_3 ),
inference(resolution,[],[f165,f120]) ).
fof(f547,plain,
( member(sK17(sK2,sK3,sK5,sK4,sK6),sK4)
| spl26_3 ),
inference(resolution,[],[f165,f121]) ).
fof(f550,plain,
( ! [X2,X3,X0,X1] :
( apply(sK5,X2,X3)
| ~ member(X2,sK3)
| ~ member(X0,sK4)
| ~ member(X3,sK3)
| ~ member(X1,sK4)
| ~ apply(sK2,X2,X0)
| ~ apply(sK2,X3,X1)
| ~ apply(sK6,X0,X1) )
| ~ spl26_1 ),
inference(resolution,[],[f383,f85]) ).
fof(f555,plain,
( $false
| spl26_3
| spl26_25 ),
inference(resolution,[],[f497,f547]) ).
fof(f556,plain,
( spl26_3
| spl26_25 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f567,plain,
( ~ apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6))
| ~ apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| ~ member(sK18(sK2,sK3,sK5,sK4,sK6),sK3)
| ~ member(sK16(sK2,sK3,sK5,sK4,sK6),sK3)
| spl26_3
| ~ spl26_26 ),
inference(resolution,[],[f500,f544]) ).
fof(f588,definition,
( spl26_32
<=> member(sK18(sK2,sK3,sK5,sK4,sK6),sK3) ),
introduced(definition,[new_symbols(definition,[spl26_32])],[avatar_definition]) ).
fof(f589,plain,
( ~ member(sK18(sK2,sK3,sK5,sK4,sK6),sK3)
| spl26_32 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f602,definition,
( spl26_36
<=> member(sK16(sK2,sK3,sK5,sK4,sK6),sK3) ),
introduced(definition,[new_symbols(definition,[spl26_36])],[avatar_definition]) ).
fof(f603,plain,
( ~ member(sK16(sK2,sK3,sK5,sK4,sK6),sK3)
| spl26_36 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f609,definition,
( spl26_38
<=> apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl26_38])],[avatar_definition]) ).
fof(f610,plain,
( ~ apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| spl26_38 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,definition,
( spl26_39
<=> apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl26_39])],[avatar_definition]) ).
fof(f613,plain,
( ~ apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6))
| spl26_39 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f614,plain,
( ~ spl26_36
| ~ spl26_32
| ~ spl26_38
| ~ spl26_39
| spl26_3
| ~ spl26_26 ),
inference(avatar_split_clause,[],[f567,f499,f160,f612,f609,f588,f602]) ).
fof(f622,plain,
( $false
| spl26_3
| spl26_32 ),
inference(resolution,[],[f589,f546]) ).
fof(f623,plain,
( spl26_3
| spl26_32 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f624,plain,
( ! [X2,X3,X0,X1] :
( apply(sK6,X1,X3)
| ~ member(X1,sK4)
| ~ member(X2,sK3)
| ~ member(X3,sK4)
| ~ apply(sK5,X0,X2)
| ~ apply(sK2,X0,X1)
| ~ apply(sK2,X2,X3)
| ~ member(X0,sK3) )
| ~ spl26_3 ),
inference(resolution,[],[f161,f115]) ).
fof(f630,plain,
( member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| spl26_2 ),
inference(resolution,[],[f164,f121]) ).
fof(f632,plain,
( ~ apply(sK5,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| spl26_2 ),
inference(resolution,[],[f164,f123]) ).
fof(f633,plain,
( $false
| spl26_2
| spl26_18 ),
inference(resolution,[],[f416,f630]) ).
fof(f634,plain,
( spl26_2
| spl26_18 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f640,plain,
( ! [X0,X1] :
( ~ member(sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ member(X0,sK4)
| ~ member(sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK3)
| ~ member(X1,sK4)
| ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X1)
| ~ apply(sK6,X0,X1) )
| ~ spl26_1
| spl26_2 ),
inference(resolution,[],[f632,f550]) ).
fof(f642,definition,
( spl26_42
<=> ! [X0,X1] :
( ~ member(X0,sK4)
| ~ apply(sK6,X0,X1)
| ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ member(X1,sK4)
| ~ apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X1) ) ),
introduced(definition,[new_symbols(definition,[spl26_42])],[avatar_definition]) ).
fof(f643,plain,
( ! [X0,X1] :
( ~ apply(sK6,X0,X1)
| ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X0)
| ~ apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),X1)
| ~ member(X1,sK4)
| ~ member(X0,sK4) )
| ~ spl26_42 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( ~ spl26_15
| spl26_42
| ~ spl26_18
| ~ spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f640,f156,f153,f415,f642,f402]) ).
fof(f646,plain,
( ! [X2,X3,X0,X1] :
( apply(sK5,X1,X3)
| ~ member(X1,sK3)
| ~ member(X2,sK4)
| ~ member(X3,sK3)
| ~ apply(sK6,X0,X2)
| ~ apply(inverse_function(sK2,sK3,sK4),X0,X1)
| ~ apply(inverse_function(sK2,sK3,sK4),X2,X3)
| ~ member(X0,sK4) )
| ~ spl26_2 ),
inference(resolution,[],[f157,f115]) ).
fof(f653,plain,
( apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5))
| apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| spl26_1
| ~ spl26_11 ),
inference(resolution,[],[f167,f368]) ).
fof(f654,plain,
( ~ apply(sK5,sK7(sK4,sK3,sK2,sK6,sK5),sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| spl26_1
| ~ spl26_20 ),
inference(resolution,[],[f167,f443]) ).
fof(f655,plain,
( ! [X0,X1] :
( ~ member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ member(X0,sK3)
| ~ member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ apply(sK5,X1,X0)
| ~ apply(sK2,X1,sK8(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK2,X0,sK10(sK4,sK3,sK2,sK6,sK5))
| ~ member(X1,sK3) )
| ~ spl26_3
| spl26_12 ),
inference(resolution,[],[f624,f452]) ).
fof(f657,plain,
( ~ spl26_27
| spl26_28
| ~ spl26_29
| ~ spl26_3
| spl26_12 ),
inference(avatar_split_clause,[],[f655,f377,f160,f534,f531,f528]) ).
fof(f663,plain,
( $false
| spl26_1
| ~ spl26_7
| spl26_29 ),
inference(resolution,[],[f535,f253]) ).
fof(f666,plain,
( spl26_1
| ~ spl26_7
| spl26_29 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f757,plain,
( ~ apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),sK8(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ spl26_13
| ~ spl26_28 ),
inference(resolution,[],[f532,f381]) ).
fof(f770,definition,
( spl26_52
<=> apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),sK8(sK4,sK3,sK2,sK6,sK5)) ),
introduced(definition,[new_symbols(definition,[spl26_52])],[avatar_definition]) ).
fof(f771,plain,
( ~ apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),sK8(sK4,sK3,sK2,sK6,sK5))
| spl26_52 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f773,definition,
( spl26_53
<=> apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5)) ),
introduced(definition,[new_symbols(definition,[spl26_53])],[avatar_definition]) ).
fof(f774,plain,
( ~ apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| spl26_53 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( ~ spl26_21
| ~ spl26_23
| ~ spl26_52
| ~ spl26_53
| ~ spl26_13
| ~ spl26_28 ),
inference(avatar_split_clause,[],[f757,f531,f380,f773,f770,f465,f459]) ).
fof(f1025,plain,
( $false
| spl26_1
| ~ spl26_9
| spl26_53 ),
inference(resolution,[],[f774,f291]) ).
fof(f1032,plain,
( spl26_1
| ~ spl26_9
| spl26_53 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1049,plain,
( $false
| spl26_1
| ~ spl26_10
| spl26_52 ),
inference(resolution,[],[f771,f309]) ).
fof(f1056,plain,
( spl26_1
| ~ spl26_10
| spl26_52 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1072,plain,
( spl26_12
| spl26_13
| spl26_1
| ~ spl26_11 ),
inference(avatar_split_clause,[],[f653,f367,f153,f380,f377]) ).
fof(f1075,plain,
( ~ spl26_12
| ~ spl26_13
| spl26_1
| ~ spl26_20 ),
inference(avatar_split_clause,[],[f654,f442,f153,f380,f377]) ).
fof(f1081,plain,
( ! [X0,X1] :
( ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ member(X0,sK4)
| ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ apply(sK6,X1,X0)
| ~ apply(inverse_function(sK2,sK3,sK4),X1,sK7(sK4,sK3,sK2,sK6,sK5))
| ~ apply(inverse_function(sK2,sK3,sK4),X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(X1,sK4) )
| ~ spl26_2
| spl26_13 ),
inference(resolution,[],[f453,f646]) ).
fof(f1102,plain,
( ~ spl26_21
| spl26_22
| ~ spl26_23
| ~ spl26_2
| spl26_13 ),
inference(avatar_split_clause,[],[f1081,f380,f156,f465,f462,f459]) ).
fof(f1110,plain,
( ! [X0,X1] :
( ~ apply(inverse_function(sK2,sK3,sK4),X1,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK6,X0,X1)
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),X0)
| ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ member(X0,sK4) )
| ~ spl26_22 ),
inference(resolution,[],[f463,f110]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ apply(inverse_function(sK2,sK3,sK4),X1,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK6,X0,X1)
| ~ member(X0,sK4)
| ~ member(X1,sK4)
| ~ apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),X0)
| ~ member(sK7(sK4,sK3,sK2,sK6,sK5),sK3) )
| ~ spl26_22 ),
inference(duplicate_literal_removal,[],[f1110]) ).
fof(f1153,definition,
( spl26_109
<=> ! [X0,X1] :
( ~ apply(inverse_function(sK2,sK3,sK4),X1,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),X0)
| ~ member(X1,sK4)
| ~ member(X0,sK4)
| ~ apply(sK6,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl26_109])],[avatar_definition]) ).
fof(f1154,plain,
( ! [X0,X1] :
( ~ apply(inverse_function(sK2,sK3,sK4),X1,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK2,sK7(sK4,sK3,sK2,sK6,sK5),X0)
| ~ apply(sK6,X0,X1)
| ~ member(X0,sK4)
| ~ member(X1,sK4) )
| ~ spl26_109 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1155,plain,
( ~ spl26_23
| spl26_109
| ~ spl26_22 ),
inference(avatar_split_clause,[],[f1132,f462,f1153,f465]) ).
fof(f1678,plain,
( ! [X0] :
( ~ apply(inverse_function(sK2,sK3,sK4),X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),X0)
| ~ member(sK8(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ member(X0,sK4) )
| spl26_1
| ~ spl26_10
| ~ spl26_109 ),
inference(resolution,[],[f1154,f309]) ).
fof(f1718,definition,
( spl26_214
<=> ! [X0] :
( ~ apply(inverse_function(sK2,sK3,sK4),X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(X0,sK4)
| ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_214])],[avatar_definition]) ).
fof(f1719,plain,
( ! [X0] :
( ~ apply(inverse_function(sK2,sK3,sK4),X0,sK9(sK4,sK3,sK2,sK6,sK5))
| ~ member(X0,sK4)
| ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),X0) )
| ~ spl26_214 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1721,plain,
( ~ spl26_29
| spl26_214
| spl26_1
| ~ spl26_10
| ~ spl26_109 ),
inference(avatar_split_clause,[],[f1678,f1153,f306,f153,f1718,f534]) ).
fof(f1800,plain,
( ! [X0] :
( ~ member(X0,sK4)
| ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),X0)
| ~ apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),X0)
| ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3)
| ~ member(X0,sK4) )
| ~ spl26_214 ),
inference(resolution,[],[f1719,f110]) ).
fof(f1809,plain,
( ! [X0] :
( ~ member(X0,sK4)
| ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),X0)
| ~ apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),X0)
| ~ member(sK9(sK4,sK3,sK2,sK6,sK5),sK3) )
| ~ spl26_214 ),
inference(duplicate_literal_removal,[],[f1800]) ).
fof(f1819,definition,
( spl26_226
<=> ! [X0] :
( ~ member(X0,sK4)
| ~ apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),X0)
| ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_226])],[avatar_definition]) ).
fof(f1820,plain,
( ! [X0] :
( ~ apply(sK6,sK8(sK4,sK3,sK2,sK6,sK5),X0)
| ~ apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),X0)
| ~ member(X0,sK4) )
| ~ spl26_226 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f1821,plain,
( ~ spl26_21
| spl26_226
| ~ spl26_214 ),
inference(avatar_split_clause,[],[f1809,f1718,f1819,f459]) ).
fof(f1836,plain,
( ~ apply(sK2,sK9(sK4,sK3,sK2,sK6,sK5),sK10(sK4,sK3,sK2,sK6,sK5))
| ~ member(sK10(sK4,sK3,sK2,sK6,sK5),sK4)
| ~ spl26_12
| ~ spl26_226 ),
inference(resolution,[],[f1820,f378]) ).
fof(f1860,plain,
( ~ spl26_27
| ~ spl26_53
| ~ spl26_12
| ~ spl26_226 ),
inference(avatar_split_clause,[],[f1836,f1819,f377,f773,f528]) ).
fof(f1870,plain,
( apply(sK6,sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| spl26_2 ),
inference(resolution,[],[f164,f118]) ).
fof(f1947,plain,
( ~ apply(sK2,sK17(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ apply(sK2,sK19(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5))
| ~ member(sK18(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| ~ member(sK16(inverse_function(sK2,sK3,sK4),sK4,sK6,sK3,sK5),sK4)
| spl26_2
| ~ spl26_42 ),
inference(resolution,[],[f643,f1870]) ).
fof(f2033,plain,
( ~ spl26_17
| ~ spl26_14
| ~ spl26_16
| ~ spl26_19
| spl26_2
| ~ spl26_42 ),
inference(avatar_split_clause,[],[f1947,f642,f156,f418,f405,f399,f412]) ).
fof(f2064,plain,
( apply(sK2,sK18(sK2,sK3,sK5,sK4,sK6),sK19(sK2,sK3,sK5,sK4,sK6))
| spl26_3 ),
inference(resolution,[],[f165,f116]) ).
fof(f2065,plain,
( apply(sK2,sK16(sK2,sK3,sK5,sK4,sK6),sK17(sK2,sK3,sK5,sK4,sK6))
| spl26_3 ),
inference(resolution,[],[f165,f117]) ).
fof(f2070,plain,
( member(sK16(sK2,sK3,sK5,sK4,sK6),sK3)
| spl26_3 ),
inference(resolution,[],[f165,f122]) ).
fof(f2073,plain,
( $false
| spl26_3
| spl26_36 ),
inference(resolution,[],[f2070,f603]) ).
fof(f2074,plain,
( spl26_3
| spl26_36 ),
inference(avatar_contradiction_clause,[],[f2073]) ).
fof(f2129,plain,
( $false
| spl26_3
| spl26_39 ),
inference(resolution,[],[f613,f2065]) ).
fof(f2134,plain,
( spl26_3
| spl26_39 ),
inference(avatar_contradiction_clause,[],[f2129]) ).
fof(f2146,plain,
( $false
| spl26_3
| spl26_38 ),
inference(resolution,[],[f610,f2064]) ).
fof(f2151,plain,
( spl26_3
| spl26_38 ),
inference(avatar_contradiction_clause,[],[f2146]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f158]) ).
cnf(s2,plain,
( spl26_1
| spl26_3 ),
inference(sat_conversion,[],[f162]) ).
cnf(s3,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(sat_conversion,[],[f166]) ).
cnf(s4,plain,
( spl26_4
| ~ spl26_5 ),
inference(sat_conversion,[],[f230]) ).
cnf(s5,plain,
spl26_5,
inference(sat_conversion,[],[f232]) ).
cnf(s6,plain,
( ~ spl26_5
| spl26_6 ),
inference(sat_conversion,[],[f241]) ).
cnf(s7,plain,
( ~ spl26_5
| spl26_7 ),
inference(sat_conversion,[],[f252]) ).
cnf(s8,plain,
( ~ spl26_5
| spl26_8 ),
inference(sat_conversion,[],[f263]) ).
cnf(s9,plain,
( ~ spl26_5
| spl26_9 ),
inference(sat_conversion,[],[f290]) ).
cnf(s10,plain,
( ~ spl26_5
| spl26_10 ),
inference(sat_conversion,[],[f308]) ).
cnf(s11,plain,
( ~ spl26_5
| spl26_11 ),
inference(sat_conversion,[],[f369]) ).
cnf(s13,plain,
( spl26_2
| ~ spl26_14
| ~ spl26_15
| spl26_16 ),
inference(sat_conversion,[],[f407]) ).
cnf(s14,plain,
( spl26_2
| spl26_14 ),
inference(sat_conversion,[],[f409]) ).
cnf(s15,plain,
( spl26_2
| ~ spl26_17
| ~ spl26_18
| spl26_19 ),
inference(sat_conversion,[],[f420]) ).
cnf(s16,plain,
( spl26_2
| spl26_15 ),
inference(sat_conversion,[],[f422]) ).
cnf(s17,plain,
( spl26_2
| spl26_17 ),
inference(sat_conversion,[],[f424]) ).
cnf(s20,plain,
( ~ spl26_5
| spl26_20 ),
inference(sat_conversion,[],[f444]) ).
cnf(s23,plain,
( spl26_1
| ~ spl26_6
| spl26_21 ),
inference(sat_conversion,[],[f471]) ).
cnf(s24,plain,
( ~ spl26_1
| spl26_3
| ~ spl26_24
| ~ spl26_25
| spl26_26 ),
inference(sat_conversion,[],[f501]) ).
cnf(s25,plain,
( spl26_3
| spl26_24 ),
inference(sat_conversion,[],[f503]) ).
cnf(s26,plain,
( spl26_1
| ~ spl26_8
| spl26_23 ),
inference(sat_conversion,[],[f518]) ).
cnf(s33,plain,
( spl26_1
| ~ spl26_4
| spl26_27 ),
inference(sat_conversion,[],[f540]) ).
cnf(s34,plain,
( spl26_3
| spl26_25 ),
inference(sat_conversion,[],[f556]) ).
cnf(s40,plain,
( spl26_3
| ~ spl26_26
| ~ spl26_32
| ~ spl26_36
| ~ spl26_38
| ~ spl26_39 ),
inference(sat_conversion,[],[f614]) ).
cnf(s42,plain,
( spl26_3
| spl26_32 ),
inference(sat_conversion,[],[f623]) ).
cnf(s43,plain,
( spl26_2
| spl26_18 ),
inference(sat_conversion,[],[f634]) ).
cnf(s45,plain,
( ~ spl26_1
| spl26_2
| ~ spl26_15
| ~ spl26_18
| spl26_42 ),
inference(sat_conversion,[],[f644]) ).
cnf(s46,plain,
( ~ spl26_3
| spl26_12
| ~ spl26_27
| spl26_28
| ~ spl26_29 ),
inference(sat_conversion,[],[f657]) ).
cnf(s47,plain,
( spl26_1
| ~ spl26_7
| spl26_29 ),
inference(sat_conversion,[],[f666]) ).
cnf(s54,plain,
( ~ spl26_13
| ~ spl26_21
| ~ spl26_23
| ~ spl26_28
| ~ spl26_52
| ~ spl26_53 ),
inference(sat_conversion,[],[f775]) ).
cnf(s85,plain,
( spl26_1
| ~ spl26_9
| spl26_53 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s89,plain,
( spl26_1
| ~ spl26_10
| spl26_52 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s96,plain,
( spl26_1
| ~ spl26_11
| spl26_12
| spl26_13 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s99,plain,
( spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_20 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s105,plain,
( ~ spl26_2
| spl26_13
| ~ spl26_21
| spl26_22
| ~ spl26_23 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s110,plain,
( ~ spl26_22
| ~ spl26_23
| spl26_109 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s187,plain,
( spl26_1
| ~ spl26_10
| ~ spl26_29
| ~ spl26_109
| spl26_214 ),
inference(sat_conversion,[],[f1721]) ).
cnf(s201,plain,
( ~ spl26_21
| ~ spl26_214
| spl26_226 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s208,plain,
( ~ spl26_12
| ~ spl26_27
| ~ spl26_53
| ~ spl26_226 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s230,plain,
( spl26_2
| ~ spl26_14
| ~ spl26_16
| ~ spl26_17
| ~ spl26_19
| ~ spl26_42 ),
inference(sat_conversion,[],[f2033]) ).
cnf(s240,plain,
( spl26_3
| spl26_36 ),
inference(sat_conversion,[],[f2074]) ).
cnf(s252,plain,
( spl26_3
| spl26_39 ),
inference(sat_conversion,[],[f2134]) ).
cnf(s255,plain,
( spl26_3
| spl26_38 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s258,plain,
spl26_20,
inference(rat,[],[s20,s5]) ).
cnf(s259,plain,
spl26_11,
inference(rat,[],[s11,s5]) ).
cnf(s260,plain,
spl26_10,
inference(rat,[],[s10,s5]) ).
cnf(s261,plain,
spl26_9,
inference(rat,[],[s9,s5]) ).
cnf(s262,plain,
spl26_8,
inference(rat,[],[s8,s5]) ).
cnf(s263,plain,
spl26_7,
inference(rat,[],[s7,s5]) ).
cnf(s264,plain,
spl26_6,
inference(rat,[],[s6,s5]) ).
cnf(s265,plain,
spl26_4,
inference(rat,[],[s4,s5]) ).
cnf(s266,plain,
( spl26_12
| spl26_1 ),
inference(rat,[],[s54,s96,s46,s89,s85,s47,s33,s26,s23,s2,s259,s264,s262,s265,s263,s261,s260]) ).
cnf(s267,plain,
spl26_1,
inference(rat,[],[s110,s187,s105,s201,s99,s208,s266,s1,s23,s26,s33,s47,s85,s260,s258,s264,s262,s265,s263,s261]) ).
cnf(s270,plain,
spl26_2,
inference(rat,[],[s13,s230,s45,s15,s14,s16,s17,s43,s267]) ).
cnf(s271,plain,
~ spl26_3,
inference(rat,[],[s3,s267,s270]) ).
cnf(s272,plain,
spl26_38,
inference(rat,[],[s255,s271]) ).
cnf(s273,plain,
spl26_39,
inference(rat,[],[s252,s271]) ).
cnf(s274,plain,
spl26_36,
inference(rat,[],[s240,s271]) ).
cnf(s275,plain,
spl26_32,
inference(rat,[],[s42,s271]) ).
cnf(s276,plain,
~ spl26_26,
inference(rat,[],[s40,s273,s272,s274,s275,s271]) ).
cnf(s277,plain,
spl26_25,
inference(rat,[],[s34,s271]) ).
cnf(s278,plain,
spl26_24,
inference(rat,[],[s25,s271]) ).
cnf(s279,plain,
$false,
inference(rat,[],[s24,s276,s277,s267,s278,s271]) ).
fof(f2163,plain,
$false,
inference(avatar_sat_refutation,[],[s279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET750+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n014.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 28 02:43:01 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 2.16/1.80 % (1387269)Detected formulas, will run a generic FOF schedule.
% 2.16/1.80 % (1387276)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=2114783667:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.16/1.80 % (1387278)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1615007013:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.16/1.80 % (1387280)dis-21_1_sil=8000:lcm=predicate:random_seed=621362459: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)
% 2.16/1.80 % (1387279)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3238160713:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.16/1.80 % (1387275)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=2257945030:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.16/1.80 % (1387277)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=399191455:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.16/1.80 % (1387274)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=1756818925:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.16/1.80 % (1387280)First to succeed.
% 2.16/1.80 % (1387280)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1387269"
% 2.16/1.80 % (1387277)Instruction limit reached!
% 2.16/1.80 % (1387277)------------------------------
% 2.16/1.80 % (1387277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.80 % (1387277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.80 % (1387277)CaDiCaL version: 2.1.3
% 2.16/1.80 % (1387277)Termination reason: Instruction limit
% 2.16/1.80 % (1387277)Termination phase: Saturation
% 2.16/1.80 % (1387277)Time elapsed: 0.096 s
% 2.16/1.80 % (1387277)Peak memory usage: 89 MB
% 2.16/1.80 % (1387277)Instructions burned: 109 (million)
% 2.16/1.80 % (1387278)Instruction limit reached!
% 2.16/1.80 % (1387278)------------------------------
% 2.16/1.80 % (1387278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.80 % (1387278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.80 % (1387278)CaDiCaL version: 2.1.3
% 2.16/1.80 % (1387278)Termination reason: Instruction limit
% 2.16/1.80 % (1387278)Termination phase: Saturation
% 2.16/1.80 % (1387278)Time elapsed: 0.105 s
% 2.16/1.80 % (1387278)Peak memory usage: 88 MB
% 2.16/1.80 % (1387278)Instructions burned: 120 (million)
% 2.16/1.80 % (1387279)Instruction limit reached!
% 2.16/1.80 % (1387279)------------------------------
% 2.16/1.80 % (1387279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.80 % (1387279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.80 % (1387279)CaDiCaL version: 2.1.3
% 2.16/1.80 % (1387279)Termination reason: Instruction limit
% 2.16/1.80 % (1387279)Termination phase: Saturation
% 2.16/1.80 % (1387279)Time elapsed: 0.138 s
% 2.16/1.80 % (1387279)Peak memory usage: 89 MB
% 2.16/1.80 % (1387279)Instructions burned: 139 (million)
% 2.16/1.80 % (1387289)lrs+10_1_sil=32000:urr=on:br=off:random_seed=917120312:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 2.16/1.80 % (1387289)Instruction limit reached!
% 2.16/1.80 % (1387289)------------------------------
% 2.16/1.80 % (1387289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.80 % (1387289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.80 % (1387289)CaDiCaL version: 2.1.3
% 2.16/1.80 % (1387289)Termination reason: Instruction limit
% 2.16/1.80 % (1387289)Termination phase: Saturation
% 2.16/1.80 % (1387289)Time elapsed: 0.089 s
% 2.16/1.80 % (1387289)Peak memory usage: 88 MB
% 2.16/1.80 % (1387289)Instructions burned: 157 (million)
% 2.16/1.80 % (1387288)lrs+10_1_sil=8000:sp=occurrence:random_seed=616608174:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.16/1.80 % (1387290)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3630534699:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.16/1.80 % (1387280)Refutation found. Thanks to Tanya!
% 2.16/1.80 % SZS status Theorem for theBenchmark
% 2.16/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 6.07/2.01 % (1387280)------------------------------
% 6.07/2.01 % (1387280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/2.01 % (1387280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/2.01 % (1387280)CaDiCaL version: 2.1.3
% 6.07/2.01 % (1387280)Termination reason: Refutation
% 6.07/2.01 % (1387280)Time elapsed: 0.081 s
% 6.07/2.01 % (1387280)Peak memory usage: 90 MB
% 6.07/2.01 % (1387280)Instructions burned: 84 (million)
% 6.07/2.01 % (1387280)------------------------------
% 6.07/2.01 % (1387280)------------------------------
% 6.07/2.01 % (1387269)Success in time 0.751 s
% 6.07/2.01 % Vampire exiting
%------------------------------------------------------------------------------