TSTP Solution File: SET721+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:25:27 EDT 2022
% Result : Theorem 1.53s 0.56s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 14 unt; 0 def)
% Number of atoms : 350 ( 29 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 425 ( 146 ~; 140 |; 106 &)
% ( 10 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 281 ( 238 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,plain,
$false,
inference(subsumption_resolution,[],[f388,f178]) ).
fof(f178,plain,
~ injective(sK14,sK13,sK11),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( maps(sK14,sK13,sK11)
& maps(sK12,sK11,sK15)
& injective(compose_function(sK12,sK14,sK13,sK11,sK15),sK13,sK15)
& ~ injective(sK14,sK13,sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15])],[f121,f122]) ).
fof(f122,plain,
( ? [X0,X1,X2,X3,X4] :
( maps(X3,X2,X0)
& maps(X1,X0,X4)
& injective(compose_function(X1,X3,X2,X0,X4),X2,X4)
& ~ injective(X3,X2,X0) )
=> ( maps(sK14,sK13,sK11)
& maps(sK12,sK11,sK15)
& injective(compose_function(sK12,sK14,sK13,sK11,sK15),sK13,sK15)
& ~ injective(sK14,sK13,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
? [X0,X1,X2,X3,X4] :
( maps(X3,X2,X0)
& maps(X1,X0,X4)
& injective(compose_function(X1,X3,X2,X0,X4),X2,X4)
& ~ injective(X3,X2,X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X4,X0,X2,X3,X1] :
( maps(X3,X2,X4)
& maps(X0,X4,X1)
& injective(compose_function(X0,X3,X2,X4,X1),X2,X1)
& ~ injective(X3,X2,X4) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X1,X2,X3,X4,X0] :
( ~ injective(X3,X2,X4)
& maps(X3,X2,X4)
& injective(compose_function(X0,X3,X2,X4,X1),X2,X1)
& maps(X0,X4,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X1,X2,X3,X4,X0] :
( ( maps(X3,X2,X4)
& injective(compose_function(X0,X3,X2,X4,X1),X2,X1)
& maps(X0,X4,X1) )
=> injective(X3,X2,X4) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X9,X10,X0,X5,X1] :
( ( maps(X9,X1,X10)
& maps(X5,X0,X1)
& injective(compose_function(X9,X5,X0,X1,X10),X0,X10) )
=> injective(X5,X0,X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X9,X10,X0,X5,X1] :
( ( maps(X9,X1,X10)
& maps(X5,X0,X1)
& injective(compose_function(X9,X5,X0,X1,X10),X0,X10) )
=> injective(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII12) ).
fof(f388,plain,
injective(sK14,sK13,sK11),
inference(trivial_inequality_removal,[],[f387]) ).
fof(f387,plain,
( sK4(sK11,sK13,sK14) != sK4(sK11,sK13,sK14)
| injective(sK14,sK13,sK11) ),
inference(superposition,[],[f151,f369]) ).
fof(f369,plain,
sK4(sK11,sK13,sK14) = sK5(sK11,sK13,sK14),
inference(subsumption_resolution,[],[f368,f196]) ).
fof(f196,plain,
member(sK5(sK11,sK13,sK14),sK13),
inference(resolution,[],[f152,f178]) ).
fof(f152,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
| member(sK5(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( injective(X2,X1,X0)
| ( member(sK4(X0,X1,X2),X1)
& apply(X2,sK5(X0,X1,X2),sK6(X0,X1,X2))
& apply(X2,sK4(X0,X1,X2),sK6(X0,X1,X2))
& member(sK5(X0,X1,X2),X1)
& sK4(X0,X1,X2) != sK5(X0,X1,X2)
& member(sK6(X0,X1,X2),X0) ) )
& ( ! [X6,X7,X8] :
( ~ member(X6,X1)
| ~ apply(X2,X7,X8)
| ~ apply(X2,X6,X8)
| ~ member(X7,X1)
| X6 = X7
| ~ member(X8,X0) )
| ~ injective(X2,X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( member(X3,X1)
& apply(X2,X4,X5)
& apply(X2,X3,X5)
& member(X4,X1)
& X3 != X4
& member(X5,X0) )
=> ( member(sK4(X0,X1,X2),X1)
& apply(X2,sK5(X0,X1,X2),sK6(X0,X1,X2))
& apply(X2,sK4(X0,X1,X2),sK6(X0,X1,X2))
& member(sK5(X0,X1,X2),X1)
& sK4(X0,X1,X2) != sK5(X0,X1,X2)
& member(sK6(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( injective(X2,X1,X0)
| ? [X3,X4,X5] :
( member(X3,X1)
& apply(X2,X4,X5)
& apply(X2,X3,X5)
& member(X4,X1)
& X3 != X4
& member(X5,X0) ) )
& ( ! [X6,X7,X8] :
( ~ member(X6,X1)
| ~ apply(X2,X7,X8)
| ~ apply(X2,X6,X8)
| ~ member(X7,X1)
| X6 = X7
| ~ member(X8,X0) )
| ~ injective(X2,X1,X0) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0,X2] :
( ( injective(X2,X0,X1)
| ? [X3,X5,X4] :
( member(X3,X0)
& apply(X2,X5,X4)
& apply(X2,X3,X4)
& member(X5,X0)
& X3 != X5
& member(X4,X1) ) )
& ( ! [X3,X5,X4] :
( ~ member(X3,X0)
| ~ apply(X2,X5,X4)
| ~ apply(X2,X3,X4)
| ~ member(X5,X0)
| X3 = X5
| ~ member(X4,X1) )
| ~ injective(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0,X2] :
( injective(X2,X0,X1)
<=> ! [X3,X5,X4] :
( ~ member(X3,X0)
| ~ apply(X2,X5,X4)
| ~ apply(X2,X3,X4)
| ~ member(X5,X0)
| X3 = X5
| ~ member(X4,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( injective(X2,X0,X1)
<=> ! [X5,X3,X4] :
( X3 = X5
| ~ apply(X2,X5,X4)
| ~ apply(X2,X3,X4)
| ~ member(X4,X1)
| ~ member(X5,X0)
| ~ member(X3,X0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( injective(X2,X0,X1)
<=> ! [X5,X3,X4] :
( ( member(X4,X1)
& member(X5,X0)
& member(X3,X0) )
=> ( ( apply(X2,X5,X4)
& apply(X2,X3,X4) )
=> X3 = X5 ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X5] :
( ! [X12,X4,X13] :
( ( member(X12,X0)
& member(X4,X1)
& member(X13,X0) )
=> ( ( apply(X5,X12,X4)
& apply(X5,X13,X4) )
=> X12 = X13 ) )
<=> injective(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f368,plain,
( ~ member(sK5(sK11,sK13,sK14),sK13)
| sK4(sK11,sK13,sK14) = sK5(sK11,sK13,sK14) ),
inference(resolution,[],[f366,f330]) ).
fof(f330,plain,
apply(compose_function(sK12,sK14,sK13,sK11,sK15),sK5(sK11,sK13,sK14),sK16(sK12,sK15,sK6(sK11,sK13,sK14))),
inference(resolution,[],[f328,f196]) ).
fof(f328,plain,
! [X1] :
( ~ member(sK5(sK11,sK13,sK14),X1)
| apply(compose_function(sK12,sK14,X1,sK11,sK15),sK5(sK11,sK13,sK14),sK16(sK12,sK15,sK6(sK11,sK13,sK14))) ),
inference(resolution,[],[f326,f201]) ).
fof(f201,plain,
apply(sK14,sK5(sK11,sK13,sK14),sK6(sK11,sK13,sK14)),
inference(resolution,[],[f154,f178]) ).
fof(f154,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
| apply(X2,sK5(X0,X1,X2),sK6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ apply(X0,X2,sK6(sK11,sK13,sK14))
| apply(compose_function(sK12,X0,X1,sK11,sK15),X2,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| ~ member(X2,X1) ),
inference(resolution,[],[f325,f195]) ).
fof(f195,plain,
member(sK6(sK11,sK13,sK14),sK11),
inference(resolution,[],[f150,f178]) ).
fof(f150,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
| member(sK6(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ member(sK6(sK11,sK13,sK14),X3)
| apply(compose_function(sK12,X2,X1,X3,sK15),X0,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| ~ apply(X2,X0,sK6(sK11,sK13,sK14))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f324,f195]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ apply(X2,X0,sK6(sK11,sK13,sK14))
| ~ member(X0,X1)
| ~ member(sK6(sK11,sK13,sK14),sK11)
| ~ member(sK6(sK11,sK13,sK14),X3)
| apply(compose_function(sK12,X2,X1,X3,sK15),X0,sK16(sK12,sK15,sK6(sK11,sK13,sK14))) ),
inference(resolution,[],[f221,f198]) ).
fof(f198,plain,
! [X0] :
( member(sK16(sK12,sK15,X0),sK15)
| ~ member(X0,sK11) ),
inference(resolution,[],[f183,f180]) ).
fof(f180,plain,
maps(sK12,sK11,sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| member(sK16(X0,X2,X3),X2)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X3] :
( ( apply(X0,X3,sK16(X0,X2,X3))
& member(sK16(X0,X2,X3),X2) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( ~ apply(X0,X7,X5)
| X5 = X6
| ~ member(X7,X1)
| ~ apply(X0,X7,X6)
| ~ member(X6,X2)
| ~ member(X5,X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f124,f125]) ).
fof(f125,plain,
! [X0,X2,X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) )
=> ( apply(X0,X3,sK16(X0,X2,X3))
& member(sK16(X0,X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( ~ apply(X0,X7,X5)
| X5 = X6
| ~ member(X7,X1)
| ~ apply(X0,X7,X6)
| ~ member(X6,X2)
| ~ member(X5,X2) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) )
& ! [X4,X3,X5] :
( ~ apply(X0,X5,X4)
| X3 = X4
| ~ member(X5,X1)
| ~ apply(X0,X5,X3)
| ~ member(X3,X2)
| ~ member(X4,X2) ) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ( ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) )
& ! [X3,X5,X4] :
( X3 = X4
| ~ apply(X0,X5,X4)
| ~ apply(X0,X5,X3)
| ~ member(X5,X1)
| ~ member(X4,X2)
| ~ member(X3,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( maps(X0,X1,X2)
=> ( ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) )
& ! [X3,X5,X4] :
( ( member(X5,X1)
& member(X4,X2)
& member(X3,X2) )
=> ( ( apply(X0,X5,X4)
& apply(X0,X5,X3) )
=> X3 = X4 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( maps(X0,X1,X2)
<=> ( ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) )
& ! [X3,X5,X4] :
( ( member(X5,X1)
& member(X4,X2)
& member(X3,X2) )
=> ( ( apply(X0,X5,X4)
& apply(X0,X5,X3) )
=> X3 = X4 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X0,X1] :
( ( ! [X7,X6,X2] :
( ( member(X2,X0)
& member(X7,X1)
& member(X6,X1) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) )
<=> maps(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f221,plain,
! [X21,X24,X22,X23,X20] :
( ~ member(sK16(sK12,sK15,sK6(sK11,sK13,sK14)),X20)
| ~ member(X22,X23)
| apply(compose_function(sK12,X21,X23,X24,X20),X22,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| ~ member(sK6(sK11,sK13,sK14),X24)
| ~ apply(X21,X22,sK6(sK11,sK13,sK14)) ),
inference(resolution,[],[f174,f206]) ).
fof(f206,plain,
apply(sK12,sK6(sK11,sK13,sK14),sK16(sK12,sK15,sK6(sK11,sK13,sK14))),
inference(resolution,[],[f202,f195]) ).
fof(f202,plain,
! [X0] :
( ~ member(X0,sK11)
| apply(sK12,X0,sK16(sK12,sK15,X0)) ),
inference(resolution,[],[f184,f180]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| apply(X0,X3,sK16(X0,X2,X3))
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f174,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ apply(X3,X8,X1)
| ~ member(X1,X5)
| ~ apply(X4,X6,X8)
| ~ member(X6,X0)
| ~ member(X8,X2)
| apply(compose_function(X3,X4,X0,X2,X5),X6,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( ( apply(X3,sK10(X1,X2,X3,X4,X6),X1)
& apply(X4,X6,sK10(X1,X2,X3,X4,X6))
& member(sK10(X1,X2,X3,X4,X6),X2) )
| ~ apply(compose_function(X3,X4,X0,X2,X5),X6,X1) )
& ( apply(compose_function(X3,X4,X0,X2,X5),X6,X1)
| ! [X8] :
( ~ apply(X3,X8,X1)
| ~ apply(X4,X6,X8)
| ~ member(X8,X2) ) ) )
| ~ member(X1,X5)
| ~ member(X6,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f118,f119]) ).
fof(f119,plain,
! [X1,X2,X3,X4,X6] :
( ? [X7] :
( apply(X3,X7,X1)
& apply(X4,X6,X7)
& member(X7,X2) )
=> ( apply(X3,sK10(X1,X2,X3,X4,X6),X1)
& apply(X4,X6,sK10(X1,X2,X3,X4,X6))
& member(sK10(X1,X2,X3,X4,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( ? [X7] :
( apply(X3,X7,X1)
& apply(X4,X6,X7)
& member(X7,X2) )
| ~ apply(compose_function(X3,X4,X0,X2,X5),X6,X1) )
& ( apply(compose_function(X3,X4,X0,X2,X5),X6,X1)
| ! [X8] :
( ~ apply(X3,X8,X1)
| ~ apply(X4,X6,X8)
| ~ member(X8,X2) ) ) )
| ~ member(X1,X5)
| ~ member(X6,X0) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X6,X0,X1,X3,X2,X5,X4] :
( ( ( ? [X7] :
( apply(X3,X7,X0)
& apply(X2,X4,X7)
& member(X7,X1) )
| ~ apply(compose_function(X3,X2,X6,X1,X5),X4,X0) )
& ( apply(compose_function(X3,X2,X6,X1,X5),X4,X0)
| ! [X7] :
( ~ apply(X3,X7,X0)
| ~ apply(X2,X4,X7)
| ~ member(X7,X1) ) ) )
| ~ member(X0,X5)
| ~ member(X4,X6) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X6,X0,X1,X3,X2,X5,X4] :
( ( ? [X7] :
( apply(X3,X7,X0)
& apply(X2,X4,X7)
& member(X7,X1) )
<=> apply(compose_function(X3,X2,X6,X1,X5),X4,X0) )
| ~ member(X0,X5)
| ~ member(X4,X6) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X6,X3,X2,X1,X4,X0,X5] :
( ( ? [X7] :
( apply(X3,X7,X0)
& apply(X2,X4,X7)
& member(X7,X1) )
<=> apply(compose_function(X3,X2,X6,X1,X5),X4,X0) )
| ~ member(X4,X6)
| ~ member(X0,X5) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X6,X3,X2,X1,X4,X0,X5] :
( ( member(X4,X6)
& member(X0,X5) )
=> ( ? [X7] :
( apply(X3,X7,X0)
& apply(X2,X4,X7)
& member(X7,X1) )
<=> apply(compose_function(X3,X2,X6,X1,X5),X4,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X11,X1,X5,X9,X2,X10,X0] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( member(X4,X1)
& apply(X5,X2,X4)
& apply(X9,X4,X11) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f366,plain,
! [X0] :
( ~ apply(compose_function(sK12,sK14,sK13,sK11,sK15),X0,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| ~ member(X0,sK13)
| sK4(sK11,sK13,sK14) = X0 ),
inference(subsumption_resolution,[],[f365,f179]) ).
fof(f179,plain,
injective(compose_function(sK12,sK14,sK13,sK11,sK15),sK13,sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f365,plain,
! [X0] :
( ~ injective(compose_function(sK12,sK14,sK13,sK11,sK15),sK13,sK15)
| ~ member(X0,sK13)
| ~ apply(compose_function(sK12,sK14,sK13,sK11,sK15),X0,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| sK4(sK11,sK13,sK14) = X0 ),
inference(resolution,[],[f364,f197]) ).
fof(f197,plain,
member(sK4(sK11,sK13,sK14),sK13),
inference(resolution,[],[f155,f178]) ).
fof(f155,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
| member(sK4(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f364,plain,
! [X0,X1] :
( ~ member(sK4(sK11,sK13,sK14),X1)
| ~ member(X0,X1)
| ~ apply(compose_function(sK12,sK14,sK13,sK11,sK15),X0,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| ~ injective(compose_function(sK12,sK14,sK13,sK11,sK15),X1,sK15)
| sK4(sK11,sK13,sK14) = X0 ),
inference(subsumption_resolution,[],[f363,f195]) ).
fof(f363,plain,
! [X0,X1] :
( ~ injective(compose_function(sK12,sK14,sK13,sK11,sK15),X1,sK15)
| ~ apply(compose_function(sK12,sK14,sK13,sK11,sK15),X0,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| ~ member(sK4(sK11,sK13,sK14),X1)
| sK4(sK11,sK13,sK14) = X0
| ~ member(X0,X1)
| ~ member(sK6(sK11,sK13,sK14),sK11) ),
inference(resolution,[],[f335,f198]) ).
fof(f335,plain,
! [X6,X7,X5] :
( ~ member(sK16(sK12,sK15,sK6(sK11,sK13,sK14)),X7)
| ~ member(X5,X6)
| ~ injective(compose_function(sK12,sK14,sK13,sK11,sK15),X6,X7)
| sK4(sK11,sK13,sK14) = X5
| ~ apply(compose_function(sK12,sK14,sK13,sK11,sK15),X5,sK16(sK12,sK15,sK6(sK11,sK13,sK14)))
| ~ member(sK4(sK11,sK13,sK14),X6) ),
inference(resolution,[],[f329,f149]) ).
fof(f149,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ apply(X2,X7,X8)
| ~ member(X6,X1)
| ~ member(X7,X1)
| ~ apply(X2,X6,X8)
| X6 = X7
| ~ injective(X2,X1,X0)
| ~ member(X8,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f329,plain,
apply(compose_function(sK12,sK14,sK13,sK11,sK15),sK4(sK11,sK13,sK14),sK16(sK12,sK15,sK6(sK11,sK13,sK14))),
inference(resolution,[],[f327,f197]) ).
fof(f327,plain,
! [X0] :
( ~ member(sK4(sK11,sK13,sK14),X0)
| apply(compose_function(sK12,sK14,X0,sK11,sK15),sK4(sK11,sK13,sK14),sK16(sK12,sK15,sK6(sK11,sK13,sK14))) ),
inference(resolution,[],[f326,f200]) ).
fof(f200,plain,
apply(sK14,sK4(sK11,sK13,sK14),sK6(sK11,sK13,sK14)),
inference(resolution,[],[f153,f178]) ).
fof(f153,plain,
! [X2,X0,X1] :
( injective(X2,X1,X0)
| apply(X2,sK4(X0,X1,X2),sK6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sK4(X0,X1,X2) != sK5(X0,X1,X2)
| injective(X2,X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.31 % Computer : n007.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Aug 30 14:00:31 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.16/0.43 % (17128)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.43 % (17136)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.43 % (17120)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.44 % (17111)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.44 % (17113)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.45 % (17127)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.45 % (17129)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.46 % (17111)Refutation not found, incomplete strategy% (17111)------------------------------
% 0.16/0.46 % (17111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46 % (17135)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.46 % (17111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.46 % (17111)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.46
% 0.16/0.46 % (17111)Memory used [KB]: 5628
% 0.16/0.46 % (17111)Time elapsed: 0.112 s
% 0.16/0.46 % (17111)Instructions burned: 7 (million)
% 0.16/0.46 % (17111)------------------------------
% 0.16/0.46 % (17111)------------------------------
% 0.16/0.47 % (17114)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47 % (17110)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.47 TRYING [1]
% 0.16/0.47 % (17119)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47 % (17112)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.47 % (17137)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.47 TRYING [2]
% 0.16/0.48 % (17126)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.48 % (17123)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.48 % (17121)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.48 % (17122)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.48 % (17118)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48 % (17118)Instruction limit reached!
% 0.16/0.48 % (17118)------------------------------
% 0.16/0.48 % (17118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (17118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (17118)Termination reason: Unknown
% 0.16/0.48 % (17118)Termination phase: Preprocessing 3
% 0.16/0.48
% 0.16/0.48 % (17118)Memory used [KB]: 895
% 0.16/0.48 % (17118)Time elapsed: 0.002 s
% 0.16/0.48 % (17118)Instructions burned: 2 (million)
% 0.16/0.48 % (17118)------------------------------
% 0.16/0.48 % (17118)------------------------------
% 0.16/0.49 % (17125)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.49 % (17133)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.49 TRYING [1]
% 0.16/0.49 % (17134)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.49 TRYING [2]
% 0.16/0.50 TRYING [3]
% 0.16/0.50 % (17115)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.50 % (17116)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50 % (17132)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.50 TRYING [1]
% 0.16/0.50 % (17124)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.50 % (17117)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51 % (17112)Instruction limit reached!
% 0.16/0.51 % (17112)------------------------------
% 0.16/0.51 % (17112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (17117)Instruction limit reached!
% 0.16/0.51 % (17117)------------------------------
% 0.16/0.51 % (17117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (17117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (17117)Termination reason: Unknown
% 0.16/0.51 % (17117)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (17117)Memory used [KB]: 5628
% 0.16/0.51 % (17117)Time elapsed: 0.109 s
% 0.16/0.51 % (17117)Instructions burned: 8 (million)
% 0.16/0.51 % (17117)------------------------------
% 0.16/0.51 % (17117)------------------------------
% 0.16/0.51 % (17138)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.51 % (17139)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.51 % (17127)Instruction limit reached!
% 0.16/0.51 % (17127)------------------------------
% 0.16/0.51 % (17127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (17127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (17127)Termination reason: Unknown
% 0.16/0.51 % (17127)Termination phase: Finite model building constraint generation
% 0.16/0.51
% 0.16/0.51 % (17127)Memory used [KB]: 10362
% 0.16/0.51 % (17127)Time elapsed: 0.154 s
% 0.16/0.51 % (17127)Instructions burned: 59 (million)
% 0.16/0.51 % (17127)------------------------------
% 0.16/0.51 % (17127)------------------------------
% 0.16/0.52 % (17130)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.52 % (17131)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.52 % (17112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (17112)Termination reason: Unknown
% 0.16/0.52 % (17112)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (17112)Memory used [KB]: 1663
% 0.16/0.52 % (17112)Time elapsed: 0.147 s
% 0.16/0.52 % (17112)Instructions burned: 37 (million)
% 0.16/0.52 % (17112)------------------------------
% 0.16/0.52 % (17112)------------------------------
% 0.16/0.52 TRYING [3]
% 0.16/0.52 TRYING [2]
% 0.16/0.53 % (17133)First to succeed.
% 0.16/0.53 % (17120)Instruction limit reached!
% 0.16/0.53 % (17120)------------------------------
% 0.16/0.53 % (17120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (17120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (17120)Termination reason: Unknown
% 0.16/0.53 % (17120)Termination phase: Saturation
% 0.16/0.53
% 0.16/0.54 % (17114)Instruction limit reached!
% 0.16/0.54 % (17114)------------------------------
% 0.16/0.54 % (17114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (17120)Memory used [KB]: 6780
% 0.16/0.54 % (17120)Time elapsed: 0.174 s
% 0.16/0.54 % (17120)Instructions burned: 50 (million)
% 0.16/0.54 % (17120)------------------------------
% 0.16/0.54 % (17120)------------------------------
% 0.16/0.54 % (17114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (17114)Termination reason: Unknown
% 0.16/0.54 % (17114)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (17114)Memory used [KB]: 6524
% 0.16/0.54 % (17114)Time elapsed: 0.168 s
% 0.16/0.54 % (17114)Instructions burned: 51 (million)
% 0.16/0.54 % (17114)------------------------------
% 0.16/0.54 % (17114)------------------------------
% 1.53/0.55 % (17113)Instruction limit reached!
% 1.53/0.55 % (17113)------------------------------
% 1.53/0.55 % (17113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (17119)Instruction limit reached!
% 1.53/0.55 % (17119)------------------------------
% 1.53/0.55 % (17119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (17136)Instruction limit reached!
% 1.53/0.55 % (17136)------------------------------
% 1.53/0.55 % (17136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (17136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (17136)Termination reason: Unknown
% 1.53/0.55 % (17136)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (17136)Memory used [KB]: 7036
% 1.53/0.55 % (17136)Time elapsed: 0.043 s
% 1.53/0.55 % (17136)Instructions burned: 68 (million)
% 1.53/0.55 % (17136)------------------------------
% 1.53/0.55 % (17136)------------------------------
% 1.53/0.55 % (17113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (17113)Termination reason: Unknown
% 1.53/0.55 % (17113)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (17113)Memory used [KB]: 6396
% 1.53/0.55 % (17113)Time elapsed: 0.192 s
% 1.53/0.55 % (17113)Instructions burned: 52 (million)
% 1.53/0.55 % (17113)------------------------------
% 1.53/0.55 % (17113)------------------------------
% 1.53/0.55 TRYING [3]
% 1.53/0.55 % (17119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (17119)Termination reason: Unknown
% 1.53/0.55 % (17119)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (17119)Memory used [KB]: 2430
% 1.53/0.55 % (17119)Time elapsed: 0.194 s
% 1.53/0.55 % (17119)Instructions burned: 52 (million)
% 1.53/0.55 % (17119)------------------------------
% 1.53/0.55 % (17119)------------------------------
% 1.53/0.56 % (17133)Refutation found. Thanks to Tanya!
% 1.53/0.56 % SZS status Theorem for theBenchmark
% 1.53/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.56 % (17133)------------------------------
% 1.53/0.56 % (17133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (17133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (17133)Termination reason: Refutation
% 1.53/0.56
% 1.53/0.56 % (17133)Memory used [KB]: 5756
% 1.53/0.56 % (17133)Time elapsed: 0.127 s
% 1.53/0.56 % (17133)Instructions burned: 18 (million)
% 1.53/0.56 % (17133)------------------------------
% 1.53/0.56 % (17133)------------------------------
% 1.53/0.56 % (17109)Success in time 0.231 s
%------------------------------------------------------------------------------