TSTP Solution File: SET759+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET759+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_uns --cores 0 -t %d %s
% Computer : n017.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 18:22:09 EDT 2022
% Result : Theorem 1.58s 0.63s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 109 ( 7 unt; 0 def)
% Number of atoms : 440 ( 22 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 508 ( 177 ~; 187 |; 104 &)
% ( 13 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 315 ( 277 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f528,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f323,f523]) ).
fof(f523,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| spl8_2 ),
inference(subsumption_resolution,[],[f521,f331]) ).
fof(f331,plain,
( ~ member(sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),sK7)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f117,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f117,plain,
( ~ subset(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)
| spl8_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl8_2
<=> subset(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f521,plain,
( member(sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),sK7)
| spl8_2 ),
inference(backward_demodulation,[],[f470,f511]) ).
fof(f511,plain,
( sK3(sK7,sK4,sK0(sK4,sK6,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)))) = sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5))
| spl8_2 ),
inference(unit_resulting_resolution,[],[f95,f344,f344,f348,f467,f469,f161]) ).
fof(f161,plain,
! [X8,X6,X9,X7,X5] :
( ~ maps(sK4,X9,X6)
| ~ member(X7,X9)
| ~ member(sK0(sK4,X6,X7),sK6)
| sK3(X5,sK4,sK0(sK4,X6,X7)) = X7
| ~ member(sK3(X5,sK4,sK0(sK4,X6,X7)),sK5)
| ~ member(X7,sK5)
| ~ member(sK0(sK4,X6,X7),image3(sK4,X5,X8)) ),
inference(resolution,[],[f139,f78]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( apply(X0,X3,sK0(X0,X1,X3))
| ~ maps(X0,X2,X1)
| ~ member(X3,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( apply(X0,X3,sK0(X0,X1,X3))
& member(sK0(X0,X1,X3),X1) )
| ~ member(X3,X2) )
& ! [X5,X6,X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X0,X7,X5)
| X5 = X6
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X2) ) )
| ~ maps(X0,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1,X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
=> ( apply(X0,X3,sK0(X0,X1,X3))
& member(sK0(X0,X1,X3),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
| ~ member(X3,X2) )
& ! [X5,X6,X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X0,X7,X5)
| X5 = X6
| ~ member(X5,X1)
| ~ member(X6,X1)
| ~ member(X7,X2) ) )
| ~ maps(X0,X2,X1) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
| ~ member(X3,X2) )
& ! [X6,X5,X7] :
( ~ apply(X0,X7,X5)
| ~ apply(X0,X7,X6)
| X5 = X6
| ~ member(X6,X1)
| ~ member(X5,X1)
| ~ member(X7,X2) ) )
| ~ maps(X0,X2,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( ( ! [X6,X5,X7] :
( X5 = X6
| ~ apply(X0,X7,X5)
| ~ apply(X0,X7,X6)
| ~ member(X6,X1)
| ~ member(X7,X2)
| ~ member(X5,X1) )
& ! [X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
| ~ member(X3,X2) ) )
| ~ maps(X0,X2,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( maps(X0,X2,X1)
=> ( ! [X6,X5,X7] :
( ( member(X6,X1)
& member(X7,X2)
& member(X5,X1) )
=> ( ( apply(X0,X7,X5)
& apply(X0,X7,X6) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( maps(X0,X2,X1)
<=> ( ! [X6,X5,X7] :
( ( member(X6,X1)
& member(X7,X2)
& member(X5,X1) )
=> ( ( apply(X0,X7,X5)
& apply(X0,X7,X6) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X1,X0] :
( maps(X5,X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) )
& ! [X7,X6,X2] :
( ( member(X6,X1)
& member(X7,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X6)
& apply(X5,X2,X7) )
=> X6 = X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f139,plain,
! [X10,X11,X8,X9] :
( ~ apply(sK4,X8,X9)
| sK3(X10,sK4,X9) = X8
| ~ member(X9,image3(sK4,X10,X11))
| ~ member(X9,sK6)
| ~ member(sK3(X10,sK4,X9),sK5)
| ~ member(X8,sK5) ),
inference(resolution,[],[f99,f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( apply(X2,sK3(X1,X2,X3),X3)
| ~ member(X3,image3(X2,X1,X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ( member(X3,image3(X2,X1,X0))
| ! [X4] :
( ~ apply(X2,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X0) )
& ( ( apply(X2,sK3(X1,X2,X3),X3)
& member(sK3(X1,X2,X3),X1)
& member(X3,X0) )
| ~ member(X3,image3(X2,X1,X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f66,f67]) ).
fof(f67,plain,
! [X1,X2,X3] :
( ? [X5] :
( apply(X2,X5,X3)
& member(X5,X1) )
=> ( apply(X2,sK3(X1,X2,X3),X3)
& member(sK3(X1,X2,X3),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ( member(X3,image3(X2,X1,X0))
| ! [X4] :
( ~ apply(X2,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X0) )
& ( ( ? [X5] :
( apply(X2,X5,X3)
& member(X5,X1) )
& member(X3,X0) )
| ~ member(X3,image3(X2,X1,X0)) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X3,X1,X0,X2] :
( ( member(X2,image3(X0,X1,X3))
| ! [X4] :
( ~ apply(X0,X4,X2)
| ~ member(X4,X1) )
| ~ member(X2,X3) )
& ( ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
& member(X2,X3) )
| ~ member(X2,image3(X0,X1,X3)) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X3,X1,X0,X2] :
( ( member(X2,image3(X0,X1,X3))
| ! [X4] :
( ~ apply(X0,X4,X2)
| ~ member(X4,X1) )
| ~ member(X2,X3) )
& ( ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
& member(X2,X3) )
| ~ member(X2,image3(X0,X1,X3)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X3,X1,X0,X2] :
( member(X2,image3(X0,X1,X3))
<=> ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
& member(X2,X3) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X5,X0,X4,X1] :
( member(X4,image3(X5,X0,X1))
<=> ( member(X4,X1)
& ? [X2] :
( member(X2,X0)
& apply(X5,X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image3) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ apply(sK4,X0,X2)
| ~ apply(sK4,X1,X2)
| X0 = X1
| ~ member(X1,sK5)
| ~ member(X2,sK6)
| ~ member(X0,sK5) ),
inference(resolution,[],[f94,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X2,X1,X0)
| ~ member(X4,X1)
| ~ apply(X2,X3,X5)
| ~ apply(X2,X4,X5)
| ~ member(X3,X1)
| X3 = X4
| ~ member(X5,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ injective(X2,X1,X0)
| ! [X3,X4,X5] :
( ~ apply(X2,X3,X5)
| ~ apply(X2,X4,X5)
| ~ member(X4,X1)
| ~ member(X3,X1)
| X3 = X4
| ~ member(X5,X0) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1] :
( ~ injective(X1,X2,X0)
| ! [X4,X3,X5] :
( ~ apply(X1,X4,X5)
| ~ apply(X1,X3,X5)
| ~ member(X3,X2)
| ~ member(X4,X2)
| X3 = X4
| ~ member(X5,X0) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( ! [X4,X5,X3] :
( X3 = X4
| ~ apply(X1,X3,X5)
| ~ apply(X1,X4,X5)
| ~ member(X3,X2)
| ~ member(X4,X2)
| ~ member(X5,X0) )
| ~ injective(X1,X2,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( injective(X1,X2,X0)
=> ! [X4,X5,X3] :
( ( member(X3,X2)
& member(X4,X2)
& member(X5,X0) )
=> ( ( apply(X1,X3,X5)
& apply(X1,X4,X5) )
=> X3 = X4 ) ) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f37,plain,
! [X1,X0,X2] :
( ! [X4,X5,X3] :
( ( member(X3,X2)
& member(X4,X2)
& member(X5,X0) )
=> ( ( apply(X1,X3,X5)
& apply(X1,X4,X5) )
=> X3 = X4 ) )
<=> injective(X1,X2,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X5,X0] :
( injective(X5,X0,X1)
<=> ! [X13,X12,X4] :
( ( member(X13,X0)
& member(X4,X1)
& member(X12,X0) )
=> ( ( apply(X5,X13,X4)
& apply(X5,X12,X4) )
=> X12 = X13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f94,plain,
injective(sK4,sK5,sK6),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ~ equal_set(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)
& maps(sK4,sK5,sK6)
& injective(sK4,sK5,sK6)
& subset(sK7,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f72,f73]) ).
fof(f73,plain,
( ? [X0,X1,X2,X3] :
( ~ equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3)
& maps(X0,X1,X2)
& injective(X0,X1,X2)
& subset(X3,X1) )
=> ( ~ equal_set(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)
& maps(sK4,sK5,sK6)
& injective(sK4,sK5,sK6)
& subset(sK7,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0,X1,X2,X3] :
( ~ equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3)
& maps(X0,X1,X2)
& injective(X0,X1,X2)
& subset(X3,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
? [X3,X0,X2,X1] :
( ~ equal_set(inverse_image3(X3,image3(X3,X1,X2),X0),X1)
& maps(X3,X0,X2)
& injective(X3,X0,X2)
& subset(X1,X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X1,X3,X0,X2] :
( ~ equal_set(inverse_image3(X3,image3(X3,X1,X2),X0),X1)
& injective(X3,X0,X2)
& subset(X1,X0)
& maps(X3,X0,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X1,X3,X0,X2] :
( ( injective(X3,X0,X2)
& subset(X1,X0)
& maps(X3,X0,X2) )
=> equal_set(inverse_image3(X3,image3(X3,X1,X2),X0),X1) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X2,X1,X5] :
( ( maps(X5,X0,X1)
& subset(X2,X0)
& injective(X5,X0,X1) )
=> equal_set(inverse_image3(X5,image3(X5,X2,X1),X0),X2) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X2,X1,X5] :
( ( maps(X5,X0,X1)
& subset(X2,X0)
& injective(X5,X0,X1) )
=> equal_set(inverse_image3(X5,image3(X5,X2,X1),X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa09) ).
fof(f469,plain,
( member(sK3(sK7,sK4,sK0(sK4,sK6,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)))),sK5)
| spl8_2 ),
inference(backward_demodulation,[],[f364,f455]) ).
fof(f455,plain,
( sK0(sK4,sK6,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5))) = sK1(sK4,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),image3(sK4,sK7,sK6))
| spl8_2 ),
inference(unit_resulting_resolution,[],[f95,f344,f344,f348,f343,f368,f141]) ).
fof(f141,plain,
! [X6,X7,X4,X5] :
( ~ apply(sK4,X5,X6)
| ~ member(X5,sK5)
| ~ member(X6,sK6)
| sK0(sK4,X4,X5) = X6
| ~ member(X5,X7)
| ~ member(sK0(sK4,X4,X5),sK6)
| ~ maps(sK4,X7,X4) ),
inference(resolution,[],[f100,f78]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ apply(sK4,X1,X2)
| ~ member(X2,sK6)
| ~ member(X0,sK6)
| ~ apply(sK4,X1,X0)
| X0 = X2
| ~ member(X1,sK5) ),
inference(resolution,[],[f95,f76]) ).
fof(f76,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ maps(X0,X2,X1)
| ~ member(X5,X1)
| ~ member(X7,X2)
| ~ apply(X0,X7,X6)
| ~ member(X6,X1)
| ~ apply(X0,X7,X5)
| X5 = X6 ),
inference(cnf_transformation,[],[f54]) ).
fof(f368,plain,
( member(sK1(sK4,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),image3(sK4,sK7,sK6)),sK6)
| spl8_2 ),
inference(resolution,[],[f342,f86]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X2,X1,X0))
| member(X3,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f342,plain,
( member(sK1(sK4,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),image3(sK4,sK7,sK6)),image3(sK4,sK7,sK6))
| spl8_2 ),
inference(unit_resulting_resolution,[],[f330,f80]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( member(sK1(X0,X2,X3),X3)
| ~ member(X2,inverse_image3(X0,X3,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( ( member(X2,inverse_image3(X0,X3,X1))
| ~ member(X2,X1)
| ! [X4] :
( ~ member(X4,X3)
| ~ apply(X0,X2,X4) ) )
& ( ( member(X2,X1)
& member(sK1(X0,X2,X3),X3)
& apply(X0,X2,sK1(X0,X2,X3)) )
| ~ member(X2,inverse_image3(X0,X3,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f57,f58]) ).
fof(f58,plain,
! [X0,X2,X3] :
( ? [X5] :
( member(X5,X3)
& apply(X0,X2,X5) )
=> ( member(sK1(X0,X2,X3),X3)
& apply(X0,X2,sK1(X0,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( ( member(X2,inverse_image3(X0,X3,X1))
| ~ member(X2,X1)
| ! [X4] :
( ~ member(X4,X3)
| ~ apply(X0,X2,X4) ) )
& ( ( member(X2,X1)
& ? [X5] :
( member(X5,X3)
& apply(X0,X2,X5) ) )
| ~ member(X2,inverse_image3(X0,X3,X1)) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X3,X1,X2] :
( ( member(X1,inverse_image3(X0,X2,X3))
| ~ member(X1,X3)
| ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,X1,X4) ) )
& ( ( member(X1,X3)
& ? [X4] :
( member(X4,X2)
& apply(X0,X1,X4) ) )
| ~ member(X1,inverse_image3(X0,X2,X3)) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X3,X1,X2] :
( ( member(X1,inverse_image3(X0,X2,X3))
| ~ member(X1,X3)
| ! [X4] :
( ~ member(X4,X2)
| ~ apply(X0,X1,X4) ) )
& ( ( member(X1,X3)
& ? [X4] :
( member(X4,X2)
& apply(X0,X1,X4) ) )
| ~ member(X1,inverse_image3(X0,X2,X3)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X3,X1,X2] :
( member(X1,inverse_image3(X0,X2,X3))
<=> ( member(X1,X3)
& ? [X4] :
( member(X4,X2)
& apply(X0,X1,X4) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X5,X2,X1,X0] :
( ( member(X2,X0)
& ? [X4] :
( member(X4,X1)
& apply(X5,X2,X4) ) )
<=> member(X2,inverse_image3(X5,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_image3) ).
fof(f330,plain,
( member(sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),inverse_image3(sK4,image3(sK4,sK7,sK6),sK5))
| spl8_2 ),
inference(unit_resulting_resolution,[],[f117,f83]) ).
fof(f83,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f343,plain,
( apply(sK4,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),sK1(sK4,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),image3(sK4,sK7,sK6)))
| spl8_2 ),
inference(unit_resulting_resolution,[],[f330,f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( apply(X0,X2,sK1(X0,X2,X3))
| ~ member(X2,inverse_image3(X0,X3,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f364,plain,
( member(sK3(sK7,sK4,sK1(sK4,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),image3(sK4,sK7,sK6))),sK5)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f342,f107]) ).
fof(f107,plain,
! [X6,X4,X5] :
( member(sK3(sK7,X4,X5),sK5)
| ~ member(X5,image3(X4,sK7,X6)) ),
inference(resolution,[],[f98,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( member(sK3(X1,X2,X3),X1)
| ~ member(X3,image3(X2,X1,X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f98,plain,
! [X0] :
( ~ member(X0,sK7)
| member(X0,sK5) ),
inference(resolution,[],[f93,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| ~ member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f93,plain,
subset(sK7,sK5),
inference(cnf_transformation,[],[f74]) ).
fof(f467,plain,
( member(sK0(sK4,sK6,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5))),image3(sK4,sK7,sK6))
| spl8_2 ),
inference(backward_demodulation,[],[f342,f455]) ).
fof(f348,plain,
( member(sK0(sK4,sK6,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5))),sK6)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f95,f344,f77]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X2,X1)
| member(sK0(X0,X1,X3),X1)
| ~ member(X3,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f344,plain,
( member(sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),sK5)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f330,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,inverse_image3(X0,X3,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f95,plain,
maps(sK4,sK5,sK6),
inference(cnf_transformation,[],[f74]) ).
fof(f470,plain,
( member(sK3(sK7,sK4,sK0(sK4,sK6,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)))),sK7)
| spl8_2 ),
inference(backward_demodulation,[],[f365,f455]) ).
fof(f365,plain,
( member(sK3(sK7,sK4,sK1(sK4,sK2(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)),image3(sK4,sK7,sK6))),sK7)
| spl8_2 ),
inference(unit_resulting_resolution,[],[f342,f87]) ).
fof(f323,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| spl8_1 ),
inference(subsumption_resolution,[],[f299,f307]) ).
fof(f307,plain,
( member(sK0(sK4,sK6,sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)),image3(sK4,sK7,sK6))
| spl8_1 ),
inference(unit_resulting_resolution,[],[f121,f131,f133,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X2,X4,X3)
| member(X3,image3(X2,X1,X0))
| ~ member(X4,X1)
| ~ member(X3,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f133,plain,
( apply(sK4,sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7),sK0(sK4,sK6,sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)))
| spl8_1 ),
inference(unit_resulting_resolution,[],[f95,f119,f78]) ).
fof(f119,plain,
( member(sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7),sK5)
| spl8_1 ),
inference(unit_resulting_resolution,[],[f113,f106]) ).
fof(f106,plain,
! [X3] :
( member(sK2(X3,sK7),sK5)
| subset(sK7,X3) ),
inference(resolution,[],[f98,f83]) ).
fof(f113,plain,
( ~ subset(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5))
| spl8_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl8_1
<=> subset(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f131,plain,
( member(sK0(sK4,sK6,sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)),sK6)
| spl8_1 ),
inference(unit_resulting_resolution,[],[f119,f101]) ).
fof(f101,plain,
! [X3] :
( member(sK0(sK4,sK6,X3),sK6)
| ~ member(X3,sK5) ),
inference(resolution,[],[f95,f77]) ).
fof(f121,plain,
( member(sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7),sK7)
| spl8_1 ),
inference(unit_resulting_resolution,[],[f113,f83]) ).
fof(f299,plain,
( ~ member(sK0(sK4,sK6,sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)),image3(sK4,sK7,sK6))
| spl8_1 ),
inference(unit_resulting_resolution,[],[f119,f122,f133,f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X2,X4)
| ~ member(X4,X3)
| ~ member(X2,X1)
| member(X2,inverse_image3(X0,X3,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f122,plain,
( ~ member(sK2(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7),inverse_image3(sK4,image3(sK4,sK7,sK6),sK5))
| spl8_1 ),
inference(unit_resulting_resolution,[],[f113,f84]) ).
fof(f118,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f102,f115,f111]) ).
fof(f102,plain,
( ~ subset(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7)
| ~ subset(sK7,inverse_image3(sK4,image3(sK4,sK7,sK6),sK5)) ),
inference(resolution,[],[f96,f90]) ).
fof(f90,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X1,X0)
| ~ subset(X1,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ~ subset(X1,X0)
| equal_set(X0,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f96,plain,
~ equal_set(inverse_image3(sK4,image3(sK4,sK7,sK6),sK5),sK7),
inference(cnf_transformation,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET759+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_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 13:43:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.43 % (14533)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.45 % (14533)Instruction limit reached!
% 0.20/0.45 % (14533)------------------------------
% 0.20/0.45 % (14533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (14533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (14533)Termination reason: Unknown
% 0.20/0.45 % (14533)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (14533)Memory used [KB]: 6396
% 0.20/0.45 % (14533)Time elapsed: 0.048 s
% 0.20/0.45 % (14533)Instructions burned: 30 (million)
% 0.20/0.45 % (14533)------------------------------
% 0.20/0.45 % (14533)------------------------------
% 0.20/0.48 % (14563)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/92Mi)
% 0.20/0.49 % (14563)Refutation not found, incomplete strategy% (14563)------------------------------
% 0.20/0.49 % (14563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (14563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (14563)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (14563)Memory used [KB]: 6012
% 0.20/0.49 % (14563)Time elapsed: 0.003 s
% 0.20/0.49 % (14563)Instructions burned: 3 (million)
% 0.20/0.49 % (14563)------------------------------
% 0.20/0.49 % (14563)------------------------------
% 0.20/0.49 % (14536)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.49 % (14536)Refutation not found, incomplete strategy% (14536)------------------------------
% 0.20/0.49 % (14536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (14536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (14536)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (14536)Memory used [KB]: 1535
% 0.20/0.49 % (14536)Time elapsed: 0.068 s
% 0.20/0.49 % (14536)Instructions burned: 3 (million)
% 0.20/0.49 % (14536)------------------------------
% 0.20/0.49 % (14536)------------------------------
% 0.20/0.50 % (14519)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (14528)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (14535)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50 % (14528)Instruction limit reached!
% 0.20/0.50 % (14528)------------------------------
% 0.20/0.50 % (14528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (14520)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (14515)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (14528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14528)Termination reason: Unknown
% 0.20/0.51 % (14528)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (14528)Memory used [KB]: 6140
% 0.20/0.51 % (14528)Time elapsed: 0.081 s
% 0.20/0.51 % (14528)Instructions burned: 7 (million)
% 0.20/0.51 % (14528)------------------------------
% 0.20/0.51 % (14528)------------------------------
% 0.20/0.51 % (14515)Instruction limit reached!
% 0.20/0.51 % (14515)------------------------------
% 0.20/0.51 % (14515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14515)Termination reason: Unknown
% 0.20/0.51 % (14515)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (14515)Memory used [KB]: 6012
% 0.20/0.51 % (14515)Time elapsed: 0.003 s
% 0.20/0.51 % (14515)Instructions burned: 4 (million)
% 0.20/0.51 % (14515)------------------------------
% 0.20/0.51 % (14515)------------------------------
% 0.20/0.51 % (14516)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (14527)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (14531)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (14527)Instruction limit reached!
% 0.20/0.52 % (14527)------------------------------
% 0.20/0.52 % (14527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14527)Termination reason: Unknown
% 0.20/0.52 % (14527)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (14527)Memory used [KB]: 1535
% 0.20/0.52 % (14527)Time elapsed: 0.004 s
% 0.20/0.52 % (14527)Instructions burned: 4 (million)
% 0.20/0.52 % (14527)------------------------------
% 0.20/0.52 % (14527)------------------------------
% 0.20/0.52 % (14523)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (14514)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (14518)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (14539)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.53 % (14540)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.33/0.53 % (14519)Instruction limit reached!
% 1.33/0.53 % (14519)------------------------------
% 1.33/0.53 % (14519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (14519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (14519)Termination reason: Unknown
% 1.33/0.53 % (14519)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (14519)Memory used [KB]: 6524
% 1.33/0.53 % (14519)Time elapsed: 0.133 s
% 1.33/0.53 % (14519)Instructions burned: 41 (million)
% 1.33/0.53 % (14519)------------------------------
% 1.33/0.53 % (14519)------------------------------
% 1.33/0.53 % (14531)Instruction limit reached!
% 1.33/0.53 % (14531)------------------------------
% 1.33/0.53 % (14531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (14531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (14531)Termination reason: Unknown
% 1.33/0.53 % (14531)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (14531)Memory used [KB]: 6012
% 1.33/0.53 % (14531)Time elapsed: 0.003 s
% 1.33/0.53 % (14531)Instructions burned: 3 (million)
% 1.33/0.53 % (14531)------------------------------
% 1.33/0.53 % (14531)------------------------------
% 1.33/0.53 % (14520)Instruction limit reached!
% 1.33/0.53 % (14520)------------------------------
% 1.33/0.53 % (14520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (14516)Refutation not found, incomplete strategy% (14516)------------------------------
% 1.33/0.54 % (14516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (14516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (14516)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.54
% 1.33/0.54 % (14516)Memory used [KB]: 6012
% 1.33/0.54 % (14516)Time elapsed: 0.134 s
% 1.33/0.54 % (14516)Instructions burned: 2 (million)
% 1.33/0.54 % (14516)------------------------------
% 1.33/0.54 % (14516)------------------------------
% 1.33/0.54 % (14520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (14520)Termination reason: Unknown
% 1.33/0.54 % (14520)Termination phase: Saturation
% 1.33/0.54
% 1.33/0.54 % (14520)Memory used [KB]: 6524
% 1.33/0.54 % (14520)Time elapsed: 0.113 s
% 1.33/0.54 % (14520)Instructions burned: 39 (million)
% 1.33/0.54 % (14520)------------------------------
% 1.33/0.54 % (14520)------------------------------
% 1.33/0.54 % (14523)Instruction limit reached!
% 1.33/0.54 % (14523)------------------------------
% 1.33/0.54 % (14523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (14523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (14523)Termination reason: Unknown
% 1.33/0.54 % (14523)Termination phase: Saturation
% 1.33/0.54
% 1.33/0.54 % (14523)Memory used [KB]: 6140
% 1.33/0.54 % (14523)Time elapsed: 0.138 s
% 1.33/0.54 % (14523)Instructions burned: 12 (million)
% 1.33/0.54 % (14523)------------------------------
% 1.33/0.54 % (14523)------------------------------
% 1.33/0.54 % (14530)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.33/0.54 % (14542)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.33/0.54 % (14532)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.33/0.54 % (14530)Instruction limit reached!
% 1.33/0.54 % (14530)------------------------------
% 1.33/0.54 % (14530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (14530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (14530)Termination reason: Unknown
% 1.33/0.54 % (14530)Termination phase: Property scanning
% 1.33/0.54
% 1.33/0.54 % (14530)Memory used [KB]: 1535
% 1.33/0.54 % (14530)Time elapsed: 0.003 s
% 1.33/0.54 % (14530)Instructions burned: 3 (million)
% 1.33/0.54 % (14530)------------------------------
% 1.33/0.54 % (14530)------------------------------
% 1.33/0.54 % (14532)Refutation not found, incomplete strategy% (14532)------------------------------
% 1.33/0.54 % (14532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (14532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (14532)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.54
% 1.33/0.54 % (14532)Memory used [KB]: 6012
% 1.33/0.54 % (14532)Time elapsed: 0.139 s
% 1.33/0.54 % (14532)Instructions burned: 2 (million)
% 1.33/0.54 % (14532)------------------------------
% 1.33/0.54 % (14532)------------------------------
% 1.33/0.54 % (14524)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.54 % (14524)Refutation not found, incomplete strategy% (14524)------------------------------
% 1.33/0.54 % (14524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (14524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (14524)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.54
% 1.33/0.54 % (14524)Memory used [KB]: 6012
% 1.33/0.54 % (14524)Time elapsed: 0.151 s
% 1.33/0.54 % (14524)Instructions burned: 2 (million)
% 1.33/0.54 % (14524)------------------------------
% 1.33/0.54 % (14524)------------------------------
% 1.33/0.54 % (14522)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.33/0.54 % (14514)Refutation not found, incomplete strategy% (14514)------------------------------
% 1.33/0.54 % (14514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (14534)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.54 % (14514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (14514)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.54
% 1.33/0.54 % (14514)Memory used [KB]: 6012
% 1.33/0.54 % (14514)Time elapsed: 0.125 s
% 1.33/0.54 % (14514)Instructions burned: 5 (million)
% 1.33/0.54 % (14514)------------------------------
% 1.33/0.54 % (14514)------------------------------
% 1.33/0.54 % (14538)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.58/0.55 % (14522)Refutation not found, incomplete strategy% (14522)------------------------------
% 1.58/0.55 % (14522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (14522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (14522)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.55
% 1.58/0.55 % (14522)Memory used [KB]: 6012
% 1.58/0.55 % (14522)Time elapsed: 0.148 s
% 1.58/0.55 % (14522)Instructions burned: 3 (million)
% 1.58/0.55 % (14522)------------------------------
% 1.58/0.55 % (14522)------------------------------
% 1.58/0.55 % (14526)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.55 % (14526)Refutation not found, incomplete strategy% (14526)------------------------------
% 1.58/0.55 % (14526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (14526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (14526)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.55
% 1.58/0.55 % (14526)Memory used [KB]: 6012
% 1.58/0.55 % (14526)Time elapsed: 0.149 s
% 1.58/0.55 % (14526)Instructions burned: 2 (million)
% 1.58/0.55 % (14526)------------------------------
% 1.58/0.55 % (14526)------------------------------
% 1.58/0.55 % (14518)Instruction limit reached!
% 1.58/0.55 % (14518)------------------------------
% 1.58/0.55 % (14518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (14518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (14518)Termination reason: Unknown
% 1.58/0.55 % (14518)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (14518)Memory used [KB]: 1663
% 1.58/0.55 % (14518)Time elapsed: 0.157 s
% 1.58/0.55 % (14518)Instructions burned: 17 (million)
% 1.58/0.55 % (14518)------------------------------
% 1.58/0.55 % (14518)------------------------------
% 1.58/0.56 % (14573)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.58/0.57 % (14573)Instruction limit reached!
% 1.58/0.57 % (14573)------------------------------
% 1.58/0.57 % (14573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (14573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (14573)Termination reason: Unknown
% 1.58/0.57 % (14573)Termination phase: Saturation
% 1.58/0.57
% 1.58/0.57 % (14573)Memory used [KB]: 10618
% 1.58/0.57 % (14573)Time elapsed: 0.054 s
% 1.58/0.57 % (14573)Instructions burned: 7 (million)
% 1.58/0.57 % (14573)------------------------------
% 1.58/0.57 % (14573)------------------------------
% 1.58/0.58 % (14542)Instruction limit reached!
% 1.58/0.58 % (14542)------------------------------
% 1.58/0.58 % (14542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58 % (14542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58 % (14542)Termination reason: Unknown
% 1.58/0.58 % (14542)Termination phase: Saturation
% 1.58/0.58
% 1.58/0.58 % (14542)Memory used [KB]: 6268
% 1.58/0.58 % (14542)Time elapsed: 0.147 s
% 1.58/0.58 % (14542)Instructions burned: 24 (million)
% 1.58/0.58 % (14542)------------------------------
% 1.58/0.58 % (14542)------------------------------
% 1.58/0.59 % (14583)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.58/0.59 % (14540)Instruction limit reached!
% 1.58/0.59 % (14540)------------------------------
% 1.58/0.59 % (14540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (14540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (14540)Termination reason: Unknown
% 1.58/0.59 % (14540)Termination phase: Saturation
% 1.58/0.59
% 1.58/0.59 % (14540)Memory used [KB]: 6524
% 1.58/0.59 % (14540)Time elapsed: 0.172 s
% 1.58/0.59 % (14540)Instructions burned: 25 (million)
% 1.58/0.59 % (14540)------------------------------
% 1.58/0.59 % (14540)------------------------------
% 1.58/0.59 % (14521)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.58/0.59 % (14525)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.58/0.59 % (14517)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.58/0.60 % (14513)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.58/0.60 % (14578)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.58/0.61 % (14529)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.58/0.61 % (14541)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.58/0.61 % (14534)First to succeed.
% 1.58/0.62 % (14541)Instruction limit reached!
% 1.58/0.62 % (14541)------------------------------
% 1.58/0.62 % (14541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62 % (14535)Instruction limit reached!
% 1.58/0.62 % (14535)------------------------------
% 1.58/0.62 % (14535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62 % (14535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62 % (14535)Termination reason: Unknown
% 1.58/0.62 % (14535)Termination phase: Saturation
% 1.58/0.62
% 1.58/0.62 % (14535)Memory used [KB]: 7931
% 1.58/0.62 % (14535)Time elapsed: 0.192 s
% 1.58/0.62 % (14535)Instructions burned: 83 (million)
% 1.58/0.62 % (14535)------------------------------
% 1.58/0.62 % (14535)------------------------------
% 1.58/0.62 % (14517)Instruction limit reached!
% 1.58/0.62 % (14517)------------------------------
% 1.58/0.62 % (14517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62 % (14517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62 % (14517)Termination reason: Unknown
% 1.58/0.62 % (14517)Termination phase: Saturation
% 1.58/0.62
% 1.58/0.62 % (14517)Memory used [KB]: 6140
% 1.58/0.62 % (14517)Time elapsed: 0.213 s
% 1.58/0.62 % (14517)Instructions burned: 13 (million)
% 1.58/0.62 % (14517)------------------------------
% 1.58/0.62 % (14517)------------------------------
% 1.58/0.63 % (14539)Also succeeded, but the first one will report.
% 1.58/0.63 % (14541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.63 % (14534)Refutation found. Thanks to Tanya!
% 1.58/0.63 % SZS status Theorem for theBenchmark
% 1.58/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.63 % (14534)------------------------------
% 1.58/0.63 % (14534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.63 % (14534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.63 % (14534)Termination reason: Refutation
% 1.58/0.63
% 1.58/0.63 % (14534)Memory used [KB]: 6780
% 1.58/0.63 % (14534)Time elapsed: 0.203 s
% 1.58/0.63 % (14534)Instructions burned: 46 (million)
% 1.58/0.63 % (14534)------------------------------
% 1.58/0.63 % (14534)------------------------------
% 1.58/0.63 % (14509)Success in time 0.283 s
%------------------------------------------------------------------------------