TSTP Solution File: SET723+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET723+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 : n003.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 18:22:00 EDT 2022
% Result : Theorem 1.45s 0.54s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 20 unt; 0 def)
% Number of atoms : 370 ( 30 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 436 ( 135 ~; 126 |; 133 &)
% ( 12 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-5 aty)
% Number of variables : 316 ( 269 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(subsumption_resolution,[],[f181,f96]) ).
fof(f96,plain,
apply(sK1,sK9(sK4,sK2,sK3,sK0),sK6(sK1,sK5,sK9(sK4,sK2,sK3,sK0))),
inference(unit_resulting_resolution,[],[f66,f89,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ maps(X1,X0,X2)
| ~ member(X3,X0)
| apply(X1,X3,sK6(X1,X2,X3)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ~ member(X3,X0)
| ( member(sK6(X1,X2,X3),X2)
& apply(X1,X3,sK6(X1,X2,X3)) ) )
& ! [X5,X6,X7] :
( ~ apply(X1,X6,X5)
| X5 = X7
| ~ member(X6,X0)
| ~ member(X5,X2)
| ~ member(X7,X2)
| ~ apply(X1,X6,X7) ) )
| ~ maps(X1,X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f54,f55]) ).
fof(f55,plain,
! [X1,X2,X3] :
( ? [X4] :
( member(X4,X2)
& apply(X1,X3,X4) )
=> ( member(sK6(X1,X2,X3),X2)
& apply(X1,X3,sK6(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ~ member(X3,X0)
| ? [X4] :
( member(X4,X2)
& apply(X1,X3,X4) ) )
& ! [X5,X6,X7] :
( ~ apply(X1,X6,X5)
| X5 = X7
| ~ member(X6,X0)
| ~ member(X5,X2)
| ~ member(X7,X2)
| ~ apply(X1,X6,X7) ) )
| ~ maps(X1,X0,X2) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( ( ! [X6] :
( ~ member(X6,X0)
| ? [X7] :
( member(X7,X1)
& apply(X2,X6,X7) ) )
& ! [X4,X3,X5] :
( ~ apply(X2,X3,X4)
| X4 = X5
| ~ member(X3,X0)
| ~ member(X4,X1)
| ~ member(X5,X1)
| ~ apply(X2,X3,X5) ) )
| ~ maps(X2,X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X2,X1] :
( ( ! [X3,X5,X4] :
( X4 = X5
| ~ apply(X2,X3,X4)
| ~ apply(X2,X3,X5)
| ~ member(X5,X1)
| ~ member(X4,X1)
| ~ member(X3,X0) )
& ! [X6] :
( ~ member(X6,X0)
| ? [X7] :
( member(X7,X1)
& apply(X2,X6,X7) ) ) )
| ~ maps(X2,X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X2,X1] :
( maps(X2,X0,X1)
=> ( ! [X3,X5,X4] :
( ( member(X5,X1)
& member(X4,X1)
& member(X3,X0) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X3,X5) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X0)
=> ? [X7] :
( member(X7,X1)
& apply(X2,X6,X7) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( ( ! [X3,X5,X4] :
( ( member(X5,X1)
& member(X4,X1)
& member(X3,X0) )
=> ( ( apply(X2,X3,X4)
& apply(X2,X3,X5) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X0)
=> ? [X7] :
( member(X7,X1)
& apply(X2,X6,X7) ) ) )
<=> maps(X2,X0,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X5] :
( ( ! [X2,X7,X6] :
( ( 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(f89,plain,
member(sK9(sK4,sK2,sK3,sK0),sK0),
inference(unit_resulting_resolution,[],[f67,f83]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( member(sK9(X0,X1,X2,X3),X3)
| equal_maps(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ( ! [X4,X5,X6] :
( X5 = X6
| ~ member(X5,X3)
| ~ member(X6,X3)
| ~ apply(X1,X4,X6)
| ~ member(X4,X0)
| ~ apply(X2,X4,X5) )
| ~ equal_maps(X1,X2,X0,X3) )
& ( equal_maps(X1,X2,X0,X3)
| ( sK9(X0,X1,X2,X3) != sK10(X0,X1,X2,X3)
& member(sK9(X0,X1,X2,X3),X3)
& member(sK10(X0,X1,X2,X3),X3)
& apply(X1,sK8(X0,X1,X2,X3),sK10(X0,X1,X2,X3))
& member(sK8(X0,X1,X2,X3),X0)
& apply(X2,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f62,f63]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ? [X7,X8,X9] :
( X8 != X9
& member(X8,X3)
& member(X9,X3)
& apply(X1,X7,X9)
& member(X7,X0)
& apply(X2,X7,X8) )
=> ( sK9(X0,X1,X2,X3) != sK10(X0,X1,X2,X3)
& member(sK9(X0,X1,X2,X3),X3)
& member(sK10(X0,X1,X2,X3),X3)
& apply(X1,sK8(X0,X1,X2,X3),sK10(X0,X1,X2,X3))
& member(sK8(X0,X1,X2,X3),X0)
& apply(X2,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ( ! [X4,X5,X6] :
( X5 = X6
| ~ member(X5,X3)
| ~ member(X6,X3)
| ~ apply(X1,X4,X6)
| ~ member(X4,X0)
| ~ apply(X2,X4,X5) )
| ~ equal_maps(X1,X2,X0,X3) )
& ( equal_maps(X1,X2,X0,X3)
| ? [X7,X8,X9] :
( X8 != X9
& member(X8,X3)
& member(X9,X3)
& apply(X1,X7,X9)
& member(X7,X0)
& apply(X2,X7,X8) ) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X3,X1,X0,X2] :
( ( ! [X4,X6,X5] :
( X5 = X6
| ~ member(X6,X2)
| ~ member(X5,X2)
| ~ apply(X1,X4,X5)
| ~ member(X4,X3)
| ~ apply(X0,X4,X6) )
| ~ equal_maps(X1,X0,X3,X2) )
& ( equal_maps(X1,X0,X3,X2)
| ? [X4,X6,X5] :
( X5 != X6
& member(X6,X2)
& member(X5,X2)
& apply(X1,X4,X5)
& member(X4,X3)
& apply(X0,X4,X6) ) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X3,X1,X0,X2] :
( ! [X4,X6,X5] :
( X5 = X6
| ~ member(X6,X2)
| ~ member(X5,X2)
| ~ apply(X1,X4,X5)
| ~ member(X4,X3)
| ~ apply(X0,X4,X6) )
<=> equal_maps(X1,X0,X3,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0,X3] :
( equal_maps(X1,X0,X3,X2)
<=> ! [X5,X4,X6] :
( X5 = X6
| ~ apply(X1,X4,X5)
| ~ apply(X0,X4,X6)
| ~ member(X5,X2)
| ~ member(X6,X2)
| ~ member(X4,X3) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0,X3] :
( equal_maps(X1,X0,X3,X2)
<=> ! [X5,X4,X6] :
( ( member(X5,X2)
& member(X6,X2)
& member(X4,X3) )
=> ( ( apply(X1,X4,X5)
& apply(X0,X4,X6) )
=> X5 = X6 ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X9,X5,X1,X0] :
( equal_maps(X5,X9,X0,X1)
<=> ! [X2,X6,X7] :
( ( member(X7,X1)
& member(X2,X0)
& member(X6,X1) )
=> ( ( apply(X9,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_maps) ).
fof(f67,plain,
~ equal_maps(sK2,sK3,sK4,sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( equal_maps(compose_function(sK1,sK2,sK4,sK0,sK5),compose_function(sK1,sK3,sK4,sK0,sK5),sK4,sK5)
& injective(sK1,sK0,sK5)
& maps(sK2,sK4,sK0)
& maps(sK3,sK4,sK0)
& ~ equal_maps(sK2,sK3,sK4,sK0)
& maps(sK1,sK0,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( equal_maps(compose_function(X1,X2,X4,X0,X5),compose_function(X1,X3,X4,X0,X5),X4,X5)
& injective(X1,X0,X5)
& maps(X2,X4,X0)
& maps(X3,X4,X0)
& ~ equal_maps(X2,X3,X4,X0)
& maps(X1,X0,X5) )
=> ( equal_maps(compose_function(sK1,sK2,sK4,sK0,sK5),compose_function(sK1,sK3,sK4,sK0,sK5),sK4,sK5)
& injective(sK1,sK0,sK5)
& maps(sK2,sK4,sK0)
& maps(sK3,sK4,sK0)
& ~ equal_maps(sK2,sK3,sK4,sK0)
& maps(sK1,sK0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2,X3,X4,X5] :
( equal_maps(compose_function(X1,X2,X4,X0,X5),compose_function(X1,X3,X4,X0,X5),X4,X5)
& injective(X1,X0,X5)
& maps(X2,X4,X0)
& maps(X3,X4,X0)
& ~ equal_maps(X2,X3,X4,X0)
& maps(X1,X0,X5) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
? [X5,X3,X0,X4,X2,X1] :
( equal_maps(compose_function(X3,X0,X2,X5,X1),compose_function(X3,X4,X2,X5,X1),X2,X1)
& injective(X3,X5,X1)
& maps(X0,X2,X5)
& maps(X4,X2,X5)
& ~ equal_maps(X0,X4,X2,X5)
& maps(X3,X5,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
? [X0,X1,X5,X4,X2,X3] :
( ~ equal_maps(X0,X4,X2,X5)
& maps(X3,X5,X1)
& equal_maps(compose_function(X3,X0,X2,X5,X1),compose_function(X3,X4,X2,X5,X1),X2,X1)
& maps(X4,X2,X5)
& injective(X3,X5,X1)
& maps(X0,X2,X5) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X5,X4,X2,X3] :
( ( maps(X3,X5,X1)
& equal_maps(compose_function(X3,X0,X2,X5,X1),compose_function(X3,X4,X2,X5,X1),X2,X1)
& maps(X4,X2,X5)
& injective(X3,X5,X1)
& maps(X0,X2,X5) )
=> equal_maps(X0,X4,X2,X5) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X9,X10,X0,X5,X8,X1] :
( ( maps(X9,X0,X1)
& maps(X5,X1,X10)
& injective(X5,X1,X10)
& maps(X8,X0,X1)
& equal_maps(compose_function(X5,X9,X0,X1,X10),compose_function(X5,X8,X0,X1,X10),X0,X10) )
=> equal_maps(X9,X8,X0,X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X9,X10,X0,X5,X8,X1] :
( ( maps(X9,X0,X1)
& maps(X5,X1,X10)
& injective(X5,X1,X10)
& maps(X8,X0,X1)
& equal_maps(compose_function(X5,X9,X0,X1,X10),compose_function(X5,X8,X0,X1,X10),X0,X10) )
=> equal_maps(X9,X8,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII14) ).
fof(f66,plain,
maps(sK1,sK0,sK5),
inference(cnf_transformation,[],[f53]) ).
fof(f181,plain,
~ apply(sK1,sK9(sK4,sK2,sK3,sK0),sK6(sK1,sK5,sK9(sK4,sK2,sK3,sK0))),
inference(backward_demodulation,[],[f151,f178]) ).
fof(f178,plain,
sK6(sK1,sK5,sK9(sK4,sK2,sK3,sK0)) = sK6(sK1,sK5,sK10(sK4,sK2,sK3,sK0)),
inference(unit_resulting_resolution,[],[f87,f97,f148,f71,f99,f155,f85]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equal_maps(X1,X2,X0,X3)
| ~ apply(X2,X4,X5)
| ~ member(X6,X3)
| X5 = X6
| ~ member(X4,X0)
| ~ member(X5,X3)
| ~ apply(X1,X4,X6) ),
inference(cnf_transformation,[],[f64]) ).
fof(f155,plain,
apply(compose_function(sK1,sK2,sK4,sK0,sK5),sK8(sK4,sK2,sK3,sK0),sK6(sK1,sK5,sK10(sK4,sK2,sK3,sK0))),
inference(unit_resulting_resolution,[],[f87,f91,f90,f99,f98,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ apply(X5,X6,X8)
| ~ apply(X3,X8,X2)
| ~ member(X8,X1)
| ~ member(X2,X4)
| apply(compose_function(X3,X5,X0,X1,X4),X6,X2)
| ~ member(X6,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X0)
| ~ member(X2,X4)
| ( ( ( apply(X3,sK7(X1,X2,X3,X5,X6),X2)
& member(sK7(X1,X2,X3,X5,X6),X1)
& apply(X5,X6,sK7(X1,X2,X3,X5,X6)) )
| ~ apply(compose_function(X3,X5,X0,X1,X4),X6,X2) )
& ( apply(compose_function(X3,X5,X0,X1,X4),X6,X2)
| ! [X8] :
( ~ apply(X3,X8,X2)
| ~ member(X8,X1)
| ~ apply(X5,X6,X8) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f58,f59]) ).
fof(f59,plain,
! [X1,X2,X3,X5,X6] :
( ? [X7] :
( apply(X3,X7,X2)
& member(X7,X1)
& apply(X5,X6,X7) )
=> ( apply(X3,sK7(X1,X2,X3,X5,X6),X2)
& member(sK7(X1,X2,X3,X5,X6),X1)
& apply(X5,X6,sK7(X1,X2,X3,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ member(X6,X0)
| ~ member(X2,X4)
| ( ( ? [X7] :
( apply(X3,X7,X2)
& member(X7,X1)
& apply(X5,X6,X7) )
| ~ apply(compose_function(X3,X5,X0,X1,X4),X6,X2) )
& ( apply(compose_function(X3,X5,X0,X1,X4),X6,X2)
| ! [X8] :
( ~ apply(X3,X8,X2)
| ~ member(X8,X1)
| ~ apply(X5,X6,X8) ) ) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X6,X3,X5,X2,X1,X4,X0] :
( ~ member(X0,X6)
| ~ member(X5,X1)
| ( ( ? [X7] :
( apply(X2,X7,X5)
& member(X7,X3)
& apply(X4,X0,X7) )
| ~ apply(compose_function(X2,X4,X6,X3,X1),X0,X5) )
& ( apply(compose_function(X2,X4,X6,X3,X1),X0,X5)
| ! [X7] :
( ~ apply(X2,X7,X5)
| ~ member(X7,X3)
| ~ apply(X4,X0,X7) ) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X6,X3,X5,X2,X1,X4,X0] :
( ~ member(X0,X6)
| ~ member(X5,X1)
| ( ? [X7] :
( apply(X2,X7,X5)
& member(X7,X3)
& apply(X4,X0,X7) )
<=> apply(compose_function(X2,X4,X6,X3,X1),X0,X5) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X5,X3,X4,X1,X6] :
( ( ? [X7] :
( apply(X2,X7,X5)
& member(X7,X3)
& apply(X4,X0,X7) )
<=> apply(compose_function(X2,X4,X6,X3,X1),X0,X5) )
| ~ member(X5,X1)
| ~ member(X0,X6) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X5,X3,X4,X1,X6] :
( ( member(X5,X1)
& member(X0,X6) )
=> ( ? [X7] :
( apply(X2,X7,X5)
& member(X7,X3)
& apply(X4,X0,X7) )
<=> apply(compose_function(X2,X4,X6,X3,X1),X0,X5) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X10,X9,X1,X5,X11,X0] :
( ( member(X2,X0)
& member(X11,X10) )
=> ( ? [X4] :
( apply(X5,X2,X4)
& apply(X9,X4,X11)
& member(X4,X1) )
<=> apply(compose_function(X9,X5,X0,X1,X10),X2,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f98,plain,
apply(sK1,sK10(sK4,sK2,sK3,sK0),sK6(sK1,sK5,sK10(sK4,sK2,sK3,sK0))),
inference(unit_resulting_resolution,[],[f66,f90,f73]) ).
fof(f90,plain,
member(sK10(sK4,sK2,sK3,sK0),sK0),
inference(unit_resulting_resolution,[],[f67,f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( member(sK10(X0,X1,X2,X3),X3)
| equal_maps(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f91,plain,
apply(sK2,sK8(sK4,sK2,sK3,sK0),sK10(sK4,sK2,sK3,sK0)),
inference(unit_resulting_resolution,[],[f67,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( apply(X1,sK8(X0,X1,X2,X3),sK10(X0,X1,X2,X3))
| equal_maps(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f99,plain,
member(sK6(sK1,sK5,sK10(sK4,sK2,sK3,sK0)),sK5),
inference(unit_resulting_resolution,[],[f66,f90,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ maps(X1,X0,X2)
| ~ member(X3,X0)
| member(sK6(X1,X2,X3),X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f71,plain,
equal_maps(compose_function(sK1,sK2,sK4,sK0,sK5),compose_function(sK1,sK3,sK4,sK0,sK5),sK4,sK5),
inference(cnf_transformation,[],[f53]) ).
fof(f148,plain,
apply(compose_function(sK1,sK3,sK4,sK0,sK5),sK8(sK4,sK2,sK3,sK0),sK6(sK1,sK5,sK9(sK4,sK2,sK3,sK0))),
inference(unit_resulting_resolution,[],[f87,f86,f89,f97,f96,f75]) ).
fof(f86,plain,
apply(sK3,sK8(sK4,sK2,sK3,sK0),sK9(sK4,sK2,sK3,sK0)),
inference(unit_resulting_resolution,[],[f67,f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( apply(X2,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
| equal_maps(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f97,plain,
member(sK6(sK1,sK5,sK9(sK4,sK2,sK3,sK0)),sK5),
inference(unit_resulting_resolution,[],[f66,f89,f74]) ).
fof(f87,plain,
member(sK8(sK4,sK2,sK3,sK0),sK4),
inference(unit_resulting_resolution,[],[f67,f80]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( member(sK8(X0,X1,X2,X3),X0)
| equal_maps(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f151,plain,
~ apply(sK1,sK9(sK4,sK2,sK3,sK0),sK6(sK1,sK5,sK10(sK4,sK2,sK3,sK0))),
inference(unit_resulting_resolution,[],[f70,f90,f89,f88,f99,f98,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X0,X1,X2)
| X3 = X5
| ~ member(X3,X1)
| ~ apply(X0,X5,X4)
| ~ member(X5,X1)
| ~ member(X4,X2)
| ~ apply(X0,X3,X4) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ injective(X0,X1,X2)
| ! [X3,X4,X5] :
( ~ member(X5,X1)
| ~ apply(X0,X3,X4)
| ~ member(X3,X1)
| ~ apply(X0,X5,X4)
| X3 = X5
| ~ member(X4,X2) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0,X2] :
( ~ injective(X1,X0,X2)
| ! [X4,X3,X5] :
( ~ member(X5,X0)
| ~ apply(X1,X4,X3)
| ~ member(X4,X0)
| ~ apply(X1,X5,X3)
| X4 = X5
| ~ member(X3,X2) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ! [X3,X5,X4] :
( X4 = X5
| ~ apply(X1,X4,X3)
| ~ apply(X1,X5,X3)
| ~ member(X3,X2)
| ~ member(X4,X0)
| ~ member(X5,X0) )
| ~ injective(X1,X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( injective(X1,X0,X2)
=> ! [X3,X5,X4] :
( ( member(X3,X2)
& member(X4,X0)
& member(X5,X0) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X5,X3) )
=> X4 = X5 ) ) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ! [X3,X5,X4] :
( ( member(X3,X2)
& member(X4,X0)
& member(X5,X0) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X5,X3) )
=> X4 = X5 ) )
<=> injective(X1,X0,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X5,X1] :
( injective(X5,X0,X1)
<=> ! [X4,X13,X12] :
( ( member(X12,X0)
& member(X4,X1)
& member(X13,X0) )
=> ( ( apply(X5,X12,X4)
& apply(X5,X13,X4) )
=> X12 = X13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f88,plain,
sK9(sK4,sK2,sK3,sK0) != sK10(sK4,sK2,sK3,sK0),
inference(unit_resulting_resolution,[],[f67,f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( sK9(X0,X1,X2,X3) != sK10(X0,X1,X2,X3)
| equal_maps(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f70,plain,
injective(sK1,sK0,sK5),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET723+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 14:15:37 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (19674)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)
% 0.21/0.51 % (19673)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)
% 0.21/0.52 % (19699)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)
% 0.21/0.52 % (19675)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)
% 0.21/0.52 % (19681)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)
% 0.21/0.52 % (19682)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)
% 0.21/0.53 % (19676)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)
% 0.21/0.53 % (19694)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)
% 0.21/0.53 % (19690)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)
% 0.21/0.53 % (19685)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)
% 0.21/0.53 % (19699)Instruction limit reached!
% 0.21/0.53 % (19699)------------------------------
% 0.21/0.53 % (19699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19674)Instruction limit reached!
% 0.21/0.53 % (19674)------------------------------
% 0.21/0.53 % (19674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19684)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)
% 0.21/0.54 % (19684)Instruction limit reached!
% 0.21/0.54 % (19684)------------------------------
% 0.21/0.54 % (19684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19684)Termination reason: Unknown
% 0.21/0.54 % (19684)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (19684)Memory used [KB]: 1535
% 0.21/0.54 % (19684)Time elapsed: 0.003 s
% 0.21/0.54 % (19684)Instructions burned: 4 (million)
% 0.21/0.54 % (19684)------------------------------
% 0.21/0.54 % (19684)------------------------------
% 0.21/0.54 % (19670)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (19681)Instruction limit reached!
% 0.21/0.54 % (19681)------------------------------
% 0.21/0.54 % (19681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (19681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19681)Termination reason: Unknown
% 0.21/0.54 % (19681)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (19681)Memory used [KB]: 6140
% 0.21/0.54 % (19681)Time elapsed: 0.129 s
% 0.21/0.54 % (19681)Instructions burned: 8 (million)
% 0.21/0.54 % (19681)------------------------------
% 0.21/0.54 % (19681)------------------------------
% 0.21/0.54 % (19699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (19699)Termination reason: Unknown
% 0.21/0.54 % (19699)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (19699)Memory used [KB]: 6140
% 0.21/0.54 % (19699)Time elapsed: 0.133 s
% 0.21/0.54 % (19699)Instructions burned: 8 (million)
% 0.21/0.54 % (19699)------------------------------
% 0.21/0.54 % (19699)------------------------------
% 0.21/0.54 % (19683)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)
% 0.21/0.54 % (19673)First to succeed.
% 0.21/0.54 % (19700)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)
% 1.45/0.54 % (19673)Refutation found. Thanks to Tanya!
% 1.45/0.54 % SZS status Theorem for theBenchmark
% 1.45/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.54 % (19673)------------------------------
% 1.45/0.54 % (19673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (19673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (19673)Termination reason: Refutation
% 1.45/0.54
% 1.45/0.54 % (19673)Memory used [KB]: 6268
% 1.45/0.54 % (19673)Time elapsed: 0.124 s
% 1.45/0.54 % (19673)Instructions burned: 20 (million)
% 1.45/0.54 % (19673)------------------------------
% 1.45/0.54 % (19673)------------------------------
% 1.45/0.54 % (19667)Success in time 0.183 s
%------------------------------------------------------------------------------