TSTP Solution File: SET758+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET758+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 : n008.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 18:25:33 EDT 2022
% Result : Theorem 0.19s 0.60s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 68 ( 15 unt; 0 def)
% Number of atoms : 283 ( 14 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 327 ( 112 ~; 102 |; 84 &)
% ( 9 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 228 ( 190 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f613,plain,
$false,
inference(subsumption_resolution,[],[f611,f136]) ).
fof(f136,plain,
~ subset(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( subset(sK4,sK3)
& maps(sK5,sK2,sK3)
& ~ subset(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f80,f81]) ).
fof(f81,plain,
( ? [X0,X1,X2,X3] :
( subset(X2,X1)
& maps(X3,X0,X1)
& ~ subset(image3(X3,inverse_image3(X3,X2,X0),X1),X2) )
=> ( subset(sK4,sK3)
& maps(sK5,sK2,sK3)
& ~ subset(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( subset(X2,X1)
& maps(X3,X0,X1)
& ~ subset(image3(X3,inverse_image3(X3,X2,X0),X1),X2) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
? [X3,X2,X0,X1] :
( subset(X0,X2)
& maps(X1,X3,X2)
& ~ subset(image3(X1,inverse_image3(X1,X0,X3),X2),X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X2,X0,X3,X1] :
( ~ subset(image3(X1,inverse_image3(X1,X0,X3),X2),X0)
& maps(X1,X3,X2)
& subset(X0,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X2,X0,X3,X1] :
( ( maps(X1,X3,X2)
& subset(X0,X2) )
=> subset(image3(X1,inverse_image3(X1,X0,X3),X2),X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X4,X5,X1,X0] :
( ( maps(X5,X0,X1)
& subset(X4,X1) )
=> subset(image3(X5,inverse_image3(X5,X4,X0),X1),X4) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X4,X5,X1,X0] :
( ( maps(X5,X0,X1)
& subset(X4,X1) )
=> subset(image3(X5,inverse_image3(X5,X4,X0),X1),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa08) ).
fof(f611,plain,
subset(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),
inference(resolution,[],[f598,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ member(sK9(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f598,plain,
member(sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),sK4),
inference(backward_demodulation,[],[f235,f596]) ).
fof(f596,plain,
sK10(sK4,sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4))) = sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),
inference(subsumption_resolution,[],[f595,f445]) ).
fof(f445,plain,
member(sK10(sK4,sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4))),sK3),
inference(resolution,[],[f251,f138]) ).
fof(f138,plain,
subset(sK4,sK3),
inference(cnf_transformation,[],[f82]) ).
fof(f251,plain,
! [X0] :
( ~ subset(sK4,X0)
| member(sK10(sK4,sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4))),X0) ),
inference(resolution,[],[f235,f160]) ).
fof(f160,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| ~ subset(X0,X1)
| member(X3,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f595,plain,
( ~ member(sK10(sK4,sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4))),sK3)
| sK10(sK4,sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4))) = sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4) ),
inference(resolution,[],[f380,f234]) ).
fof(f234,plain,
apply(sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),sK10(sK4,sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)))),
inference(resolution,[],[f196,f164]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,inverse_image3(X1,X0,X3))
| apply(X1,X2,sK10(X0,X1,X2)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ( member(X2,inverse_image3(X1,X0,X3))
| ~ member(X2,X3)
| ! [X4] :
( ~ apply(X1,X2,X4)
| ~ member(X4,X0) ) )
& ( ( member(X2,X3)
& apply(X1,X2,sK10(X0,X1,X2))
& member(sK10(X0,X1,X2),X0) )
| ~ member(X2,inverse_image3(X1,X0,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f111,f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ? [X5] :
( apply(X1,X2,X5)
& member(X5,X0) )
=> ( apply(X1,X2,sK10(X0,X1,X2))
& member(sK10(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ( member(X2,inverse_image3(X1,X0,X3))
| ~ member(X2,X3)
| ! [X4] :
( ~ apply(X1,X2,X4)
| ~ member(X4,X0) ) )
& ( ( member(X2,X3)
& ? [X5] :
( apply(X1,X2,X5)
& member(X5,X0) ) )
| ~ member(X2,inverse_image3(X1,X0,X3)) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0,X2,X3,X1] :
( ( member(X3,inverse_image3(X2,X0,X1))
| ~ member(X3,X1)
| ! [X4] :
( ~ apply(X2,X3,X4)
| ~ member(X4,X0) ) )
& ( ( member(X3,X1)
& ? [X4] :
( apply(X2,X3,X4)
& member(X4,X0) ) )
| ~ member(X3,inverse_image3(X2,X0,X1)) ) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X2,X3,X1] :
( ( member(X3,inverse_image3(X2,X0,X1))
| ~ member(X3,X1)
| ! [X4] :
( ~ apply(X2,X3,X4)
| ~ member(X4,X0) ) )
& ( ( member(X3,X1)
& ? [X4] :
( apply(X2,X3,X4)
& member(X4,X0) ) )
| ~ member(X3,inverse_image3(X2,X0,X1)) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X3,X1] :
( member(X3,inverse_image3(X2,X0,X1))
<=> ( member(X3,X1)
& ? [X4] :
( apply(X2,X3,X4)
& member(X4,X0) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X1,X0,X5,X2] :
( member(X2,inverse_image3(X5,X1,X0))
<=> ( member(X2,X0)
& ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_image3) ).
fof(f196,plain,
member(sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),inverse_image3(sK5,sK4,sK2)),
inference(resolution,[],[f171,f182]) ).
fof(f182,plain,
member(sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),image3(sK5,inverse_image3(sK5,sK4,sK2),sK3)),
inference(resolution,[],[f162,f136]) ).
fof(f162,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,image3(X1,X0,X3))
| member(sK11(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( member(X2,image3(X1,X0,X3))
| ! [X4] :
( ~ apply(X1,X4,X2)
| ~ member(X4,X0) )
| ~ member(X2,X3) )
& ( ( apply(X1,sK11(X0,X1,X2),X2)
& member(sK11(X0,X1,X2),X0)
& member(X2,X3) )
| ~ member(X2,image3(X1,X0,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f119,f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ? [X5] :
( apply(X1,X5,X2)
& member(X5,X0) )
=> ( apply(X1,sK11(X0,X1,X2),X2)
& member(sK11(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ( member(X2,image3(X1,X0,X3))
| ! [X4] :
( ~ apply(X1,X4,X2)
| ~ member(X4,X0) )
| ~ member(X2,X3) )
& ( ( ? [X5] :
( apply(X1,X5,X2)
& member(X5,X0) )
& member(X2,X3) )
| ~ member(X2,image3(X1,X0,X3)) ) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X0,X3,X2,X1] :
( ( member(X2,image3(X3,X0,X1))
| ! [X4] :
( ~ apply(X3,X4,X2)
| ~ member(X4,X0) )
| ~ member(X2,X1) )
& ( ( ? [X4] :
( apply(X3,X4,X2)
& member(X4,X0) )
& member(X2,X1) )
| ~ member(X2,image3(X3,X0,X1)) ) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0,X3,X2,X1] :
( ( member(X2,image3(X3,X0,X1))
| ! [X4] :
( ~ apply(X3,X4,X2)
| ~ member(X4,X0) )
| ~ member(X2,X1) )
& ( ( ? [X4] :
( apply(X3,X4,X2)
& member(X4,X0) )
& member(X2,X1) )
| ~ member(X2,image3(X3,X0,X1)) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X3,X2,X1] :
( member(X2,image3(X3,X0,X1))
<=> ( ? [X4] :
( apply(X3,X4,X2)
& member(X4,X0) )
& member(X2,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X4,X5] :
( ( member(X4,X1)
& ? [X2] :
( apply(X5,X2,X4)
& member(X2,X0) ) )
<=> member(X4,image3(X5,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image3) ).
fof(f380,plain,
! [X0] :
( ~ apply(sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),X0)
| ~ member(X0,sK3)
| sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4) = X0 ),
inference(subsumption_resolution,[],[f379,f185]) ).
fof(f185,plain,
member(sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),sK3),
inference(resolution,[],[f170,f182]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,image3(X1,X0,X3))
| member(X2,X3) ),
inference(cnf_transformation,[],[f121]) ).
fof(f379,plain,
! [X0] :
( ~ member(X0,sK3)
| ~ apply(sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),X0)
| ~ member(sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),sK3)
| sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4) = X0 ),
inference(subsumption_resolution,[],[f378,f236]) ).
fof(f236,plain,
member(sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),sK2),
inference(resolution,[],[f196,f165]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,inverse_image3(X1,X0,X3))
| member(X2,X3) ),
inference(cnf_transformation,[],[f113]) ).
fof(f378,plain,
! [X0] :
( ~ member(sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),sK2)
| ~ apply(sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),X0)
| sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4) = X0
| ~ member(sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),sK3)
| ~ member(X0,sK3) ),
inference(resolution,[],[f238,f137]) ).
fof(f137,plain,
maps(sK5,sK2,sK3),
inference(cnf_transformation,[],[f82]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ maps(sK5,X0,X1)
| ~ member(sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4),X1)
| ~ member(sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),X0)
| ~ member(X2,X1)
| ~ apply(sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),X2)
| sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4) = X2 ),
inference(resolution,[],[f202,f139]) ).
fof(f139,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ maps(X0,X1,X2)
| ~ apply(X0,X5,X6)
| X6 = X7
| ~ member(X7,X2)
| ~ member(X5,X1)
| ~ member(X6,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( apply(X0,X3,sK6(X0,X2,X3))
& member(sK6(X0,X2,X3),X2) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ member(X6,X2)
| ~ apply(X0,X5,X6)
| ~ member(X7,X2)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f83,f84]) ).
fof(f84,plain,
! [X0,X2,X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) )
=> ( apply(X0,X3,sK6(X0,X2,X3))
& member(sK6(X0,X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ member(X6,X2)
| ~ apply(X0,X5,X6)
| ~ member(X7,X2)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
| ~ member(X3,X2) )
& ! [X6,X5,X7] :
( X5 = X7
| ~ member(X5,X1)
| ~ apply(X0,X6,X5)
| ~ member(X7,X1)
| ~ apply(X0,X6,X7)
| ~ member(X6,X2) ) )
| ~ maps(X0,X2,X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X0,X2] :
( ( ! [X7,X5,X6] :
( X5 = X7
| ~ apply(X0,X6,X7)
| ~ apply(X0,X6,X5)
| ~ member(X5,X1)
| ~ member(X7,X1)
| ~ member(X6,X2) )
& ! [X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
| ~ member(X3,X2) ) )
| ~ maps(X0,X2,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1,X0,X2] :
( maps(X0,X2,X1)
=> ( ! [X7,X5,X6] :
( ( member(X5,X1)
& member(X7,X1)
& member(X6,X2) )
=> ( ( apply(X0,X6,X7)
& apply(X0,X6,X5) )
=> X5 = X7 ) )
& ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f44]) ).
fof(f44,plain,
! [X1,X0,X2] :
( maps(X0,X2,X1)
<=> ( ! [X7,X5,X6] :
( ( member(X5,X1)
& member(X7,X1)
& member(X6,X2) )
=> ( ( apply(X0,X6,X7)
& apply(X0,X6,X5) )
=> X5 = X7 ) )
& ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X1,X0] :
( ( ! [X2] :
( member(X2,X0)
=> ? [X4] :
( member(X4,X1)
& apply(X5,X2,X4) ) )
& ! [X6,X2,X7] :
( ( member(X7,X1)
& member(X2,X0)
& member(X6,X1) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) ) )
<=> maps(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f202,plain,
apply(sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4)),
inference(resolution,[],[f172,f182]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,image3(X1,X0,X3))
| apply(X1,sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f235,plain,
member(sK10(sK4,sK5,sK11(inverse_image3(sK5,sK4,sK2),sK5,sK9(image3(sK5,inverse_image3(sK5,sK4,sK2),sK3),sK4))),sK4),
inference(resolution,[],[f196,f163]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,inverse_image3(X1,X0,X3))
| member(sK10(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET758+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:22:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (11490)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)
% 0.19/0.50 % (11515)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)
% 0.19/0.50 % (11488)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)
% 0.19/0.51 % (11496)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (11512)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)
% 0.19/0.52 % (11493)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)
% 0.19/0.52 % (11504)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)
% 0.19/0.52 % (11498)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (11496)Instruction limit reached!
% 0.19/0.52 % (11496)------------------------------
% 0.19/0.52 % (11496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11496)Termination reason: Unknown
% 0.19/0.52 % (11496)Termination phase: Blocked clause elimination
% 0.19/0.52
% 0.19/0.52 % (11496)Memory used [KB]: 1023
% 0.19/0.52 % (11496)Time elapsed: 0.004 s
% 0.19/0.52 % (11496)Instructions burned: 3 (million)
% 0.19/0.52 % (11496)------------------------------
% 0.19/0.52 % (11496)------------------------------
% 0.19/0.52 % (11506)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (11514)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (11492)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (11500)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)
% 0.19/0.53 % (11491)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)
% 0.19/0.53 % (11510)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (11513)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (11494)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)
% 0.19/0.53 % (11508)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (11489)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)
% 0.19/0.53 % (11509)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)
% 0.19/0.53 % (11518)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)
% 0.19/0.54 % (11489)Refutation not found, incomplete strategy% (11489)------------------------------
% 0.19/0.54 % (11489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11489)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (11489)Memory used [KB]: 5628
% 0.19/0.54 % (11489)Time elapsed: 0.127 s
% 0.19/0.54 % (11489)Instructions burned: 5 (million)
% 0.19/0.54 % (11489)------------------------------
% 0.19/0.54 % (11489)------------------------------
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (11505)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)
% 0.19/0.54 % (11495)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (11507)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (11501)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (11495)Instruction limit reached!
% 0.19/0.54 % (11495)------------------------------
% 0.19/0.54 % (11495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11495)Termination reason: Unknown
% 0.19/0.54 % (11495)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (11495)Memory used [KB]: 5628
% 0.19/0.54 % (11495)Time elapsed: 0.106 s
% 0.19/0.54 % (11495)Instructions burned: 7 (million)
% 0.19/0.54 % (11495)------------------------------
% 0.19/0.54 % (11495)------------------------------
% 0.19/0.54 % (11511)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)
% 0.19/0.54 % (11517)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (11503)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)
% 0.19/0.55 % (11497)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)
% 0.19/0.55 % (11502)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (11516)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)
% 0.19/0.57 TRYING [3]
% 0.19/0.57 TRYING [3]
% 0.19/0.57 % (11490)Instruction limit reached!
% 0.19/0.57 % (11490)------------------------------
% 0.19/0.57 % (11490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (11490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (11490)Termination reason: Unknown
% 0.19/0.57 % (11490)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (11490)Memory used [KB]: 1663
% 0.19/0.57 % (11490)Time elapsed: 0.161 s
% 0.19/0.57 % (11490)Instructions burned: 37 (million)
% 0.19/0.57 % (11490)------------------------------
% 0.19/0.57 % (11490)------------------------------
% 0.19/0.59 % (11498)Instruction limit reached!
% 0.19/0.59 % (11498)------------------------------
% 0.19/0.59 % (11498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11498)Termination reason: Unknown
% 0.19/0.59 % (11498)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (11498)Memory used [KB]: 6652
% 0.19/0.59 % (11498)Time elapsed: 0.195 s
% 0.19/0.59 % (11498)Instructions burned: 50 (million)
% 0.19/0.59 % (11498)------------------------------
% 0.19/0.59 % (11498)------------------------------
% 0.19/0.59 % (11506)Instruction limit reached!
% 0.19/0.59 % (11506)------------------------------
% 0.19/0.59 % (11506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11506)Termination reason: Unknown
% 0.19/0.59 % (11506)Termination phase: Finite model building constraint generation
% 0.19/0.59
% 0.19/0.59 % (11506)Memory used [KB]: 9722
% 0.19/0.59 % (11506)Time elapsed: 0.191 s
% 0.19/0.59 % (11506)Instructions burned: 60 (million)
% 0.19/0.59 % (11506)------------------------------
% 0.19/0.59 % (11506)------------------------------
% 0.19/0.59 % (11512)First to succeed.
% 0.19/0.59 % (11494)Instruction limit reached!
% 0.19/0.59 % (11494)------------------------------
% 0.19/0.59 % (11494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (11494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (11494)Termination reason: Unknown
% 0.19/0.59 % (11494)Termination phase: Finite model building constraint generation
% 0.19/0.59
% 0.19/0.59 % (11494)Memory used [KB]: 9466
% 0.19/0.59 % (11494)Time elapsed: 0.163 s
% 0.19/0.59 % (11494)Instructions burned: 53 (million)
% 0.19/0.59 % (11494)------------------------------
% 0.19/0.59 % (11494)------------------------------
% 0.19/0.60 % (11512)Refutation found. Thanks to Tanya!
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.60 % (11512)------------------------------
% 0.19/0.60 % (11512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (11512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (11512)Termination reason: Refutation
% 0.19/0.60
% 0.19/0.60 % (11512)Memory used [KB]: 6012
% 0.19/0.60 % (11512)Time elapsed: 0.136 s
% 0.19/0.60 % (11512)Instructions burned: 40 (million)
% 0.19/0.60 % (11512)------------------------------
% 0.19/0.60 % (11512)------------------------------
% 0.19/0.60 % (11485)Success in time 0.243 s
%------------------------------------------------------------------------------