TSTP Solution File: SET708+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET708+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 : 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 18:21:56 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 25 unt; 0 def)
% Number of atoms : 319 ( 21 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 345 ( 96 ~; 87 |; 123 &)
% ( 11 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-6 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-5 aty)
% Number of variables : 303 ( 248 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,plain,
$false,
inference(subsumption_resolution,[],[f143,f110]) ).
fof(f110,plain,
~ apply(sK2,sK0(sK5,sK6,sK10(sK3,sK4,sK8,sK7)),sK11(sK3,sK4,sK8,sK7)),
inference(backward_demodulation,[],[f102,f106]) ).
fof(f106,plain,
sK1(sK6,sK2,sK5,sK9(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7)) = sK0(sK5,sK6,sK10(sK3,sK4,sK8,sK7)),
inference(unit_resulting_resolution,[],[f68,f83,f84,f85,f87,f88,f60]) ).
fof(f60,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X7,X6)
| X5 = X6
| ~ maps(X0,X1,X2)
| ~ member(X6,X2)
| ~ member(X7,X1)
| ~ apply(X0,X7,X5)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ~ member(X3,X1)
| ( apply(X0,X3,sK0(X0,X2,X3))
& member(sK0(X0,X2,X3),X2) ) )
& ! [X5,X6,X7] :
( X5 = X6
| ~ member(X7,X1)
| ~ apply(X0,X7,X6)
| ~ member(X6,X2)
| ~ member(X5,X2)
| ~ apply(X0,X7,X5) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f48]) ).
fof(f48,plain,
! [X0,X2,X3] :
( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) )
=> ( apply(X0,X3,sK0(X0,X2,X3))
& member(sK0(X0,X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) )
& ! [X5,X6,X7] :
( X5 = X6
| ~ member(X7,X1)
| ~ apply(X0,X7,X6)
| ~ member(X6,X2)
| ~ member(X5,X2)
| ~ apply(X0,X7,X5) ) )
| ~ maps(X0,X1,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ( ! [X6] :
( ~ member(X6,X0)
| ? [X7] :
( apply(X2,X6,X7)
& member(X7,X1) ) )
& ! [X4,X3,X5] :
( X3 = X4
| ~ member(X5,X0)
| ~ apply(X2,X5,X3)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ apply(X2,X5,X4) ) )
| ~ maps(X2,X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X2,X1] :
( ( ! [X5,X3,X4] :
( X3 = X4
| ~ apply(X2,X5,X3)
| ~ apply(X2,X5,X4)
| ~ member(X3,X1)
| ~ member(X4,X1)
| ~ member(X5,X0) )
& ! [X6] :
( ~ member(X6,X0)
| ? [X7] :
( apply(X2,X6,X7)
& member(X7,X1) ) ) )
| ~ maps(X2,X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X2,X1] :
( maps(X2,X0,X1)
=> ( ! [X5,X3,X4] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X0) )
=> ( ( apply(X2,X5,X3)
& apply(X2,X5,X4) )
=> X3 = X4 ) )
& ! [X6] :
( member(X6,X0)
=> ? [X7] :
( apply(X2,X6,X7)
& member(X7,X1) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( ( ! [X5,X3,X4] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X0) )
=> ( ( apply(X2,X5,X3)
& apply(X2,X5,X4) )
=> X3 = X4 ) )
& ! [X6] :
( member(X6,X0)
=> ? [X7] :
( apply(X2,X6,X7)
& member(X7,X1) ) ) )
<=> maps(X2,X0,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X5] :
( maps(X5,X0,X1)
<=> ( ! [X6,X7,X2] :
( ( member(X6,X1)
& member(X2,X0)
& member(X7,X1) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( member(X4,X1)
& apply(X5,X2,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps) ).
fof(f88,plain,
apply(sK5,sK10(sK3,sK4,sK8,sK7),sK1(sK6,sK2,sK5,sK9(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7))),
inference(unit_resulting_resolution,[],[f71,f79,f83,f78,f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ compose_predicate(X2,X3,X5,X0,X1,X4)
| ~ member(X6,X4)
| ~ member(X7,X0)
| ~ apply(X2,X7,X6)
| apply(X5,X7,sK1(X1,X3,X5,X6,X7)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ compose_predicate(X2,X3,X5,X0,X1,X4)
| ! [X6,X7] :
( ~ member(X6,X4)
| ~ member(X7,X0)
| ( ( ( apply(X5,X7,sK1(X1,X3,X5,X6,X7))
& member(sK1(X1,X3,X5,X6,X7),X1)
& apply(X3,sK1(X1,X3,X5,X6,X7),X6) )
| ~ apply(X2,X7,X6) )
& ( apply(X2,X7,X6)
| ! [X9] :
( ~ apply(X5,X7,X9)
| ~ member(X9,X1)
| ~ apply(X3,X9,X6) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f51,f52]) ).
fof(f52,plain,
! [X1,X3,X5,X6,X7] :
( ? [X8] :
( apply(X5,X7,X8)
& member(X8,X1)
& apply(X3,X8,X6) )
=> ( apply(X5,X7,sK1(X1,X3,X5,X6,X7))
& member(sK1(X1,X3,X5,X6,X7),X1)
& apply(X3,sK1(X1,X3,X5,X6,X7),X6) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ compose_predicate(X2,X3,X5,X0,X1,X4)
| ! [X6,X7] :
( ~ member(X6,X4)
| ~ member(X7,X0)
| ( ( ? [X8] :
( apply(X5,X7,X8)
& member(X8,X1)
& apply(X3,X8,X6) )
| ~ apply(X2,X7,X6) )
& ( apply(X2,X7,X6)
| ! [X9] :
( ~ apply(X5,X7,X9)
| ~ member(X9,X1)
| ~ apply(X3,X9,X6) ) ) ) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X5,X4] :
( ~ compose_predicate(X2,X3,X4,X0,X1,X5)
| ! [X6,X7] :
( ~ member(X6,X5)
| ~ member(X7,X0)
| ( ( ? [X8] :
( apply(X4,X7,X8)
& member(X8,X1)
& apply(X3,X8,X6) )
| ~ apply(X2,X7,X6) )
& ( apply(X2,X7,X6)
| ! [X8] :
( ~ apply(X4,X7,X8)
| ~ member(X8,X1)
| ~ apply(X3,X8,X6) ) ) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X5,X4] :
( ~ compose_predicate(X2,X3,X4,X0,X1,X5)
| ! [X6,X7] :
( ~ member(X6,X5)
| ~ member(X7,X0)
| ( ? [X8] :
( apply(X4,X7,X8)
& member(X8,X1)
& apply(X3,X8,X6) )
<=> apply(X2,X7,X6) ) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X3,X5,X4,X1,X2] :
( ! [X7,X6] :
( ( ? [X8] :
( apply(X4,X7,X8)
& member(X8,X1)
& apply(X3,X8,X6) )
<=> apply(X2,X7,X6) )
| ~ member(X7,X0)
| ~ member(X6,X5) )
| ~ compose_predicate(X2,X3,X4,X0,X1,X5) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X3,X5,X4,X1,X2] :
( compose_predicate(X2,X3,X4,X0,X1,X5)
=> ! [X7,X6] :
( ( member(X7,X0)
& member(X6,X5) )
=> ( ? [X8] :
( apply(X4,X7,X8)
& member(X8,X1)
& apply(X3,X8,X6) )
<=> apply(X2,X7,X6) ) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,plain,
! [X0,X3,X5,X4,X1,X2] :
( ! [X7,X6] :
( ( member(X7,X0)
& member(X6,X5) )
=> ( ? [X8] :
( apply(X4,X7,X8)
& member(X8,X1)
& apply(X3,X8,X6) )
<=> apply(X2,X7,X6) ) )
<=> compose_predicate(X2,X3,X4,X0,X1,X5) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X8,X9,X5,X10] :
( compose_predicate(X8,X9,X5,X0,X1,X10)
<=> ! [X11,X2] :
( ( member(X2,X0)
& member(X11,X10) )
=> ( apply(X8,X2,X11)
<=> ? [X4] :
( apply(X9,X4,X11)
& apply(X5,X2,X4)
& member(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_predicate) ).
fof(f78,plain,
apply(sK4,sK10(sK3,sK4,sK8,sK7),sK9(sK3,sK4,sK8,sK7)),
inference(unit_resulting_resolution,[],[f69,f77]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( apply(X1,sK10(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
| equal_maps(X3,X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( equal_maps(X3,X1,X2,X0)
| ( apply(X1,sK10(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& member(sK10(X0,X1,X2,X3),X2)
& member(sK11(X0,X1,X2,X3),X0)
& sK9(X0,X1,X2,X3) != sK11(X0,X1,X2,X3)
& member(sK9(X0,X1,X2,X3),X0)
& apply(X3,sK10(X0,X1,X2,X3),sK11(X0,X1,X2,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5,X6] :
( apply(X1,X5,X4)
& member(X5,X2)
& member(X6,X0)
& X4 != X6
& member(X4,X0)
& apply(X3,X5,X6) )
=> ( apply(X1,sK10(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& member(sK10(X0,X1,X2,X3),X2)
& member(sK11(X0,X1,X2,X3),X0)
& sK9(X0,X1,X2,X3) != sK11(X0,X1,X2,X3)
& member(sK9(X0,X1,X2,X3),X0)
& apply(X3,sK10(X0,X1,X2,X3),sK11(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( equal_maps(X3,X1,X2,X0)
| ? [X4,X5,X6] :
( apply(X1,X5,X4)
& member(X5,X2)
& member(X6,X0)
& X4 != X6
& member(X4,X0)
& apply(X3,X5,X6) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X3,X1,X0,X2] :
( equal_maps(X2,X1,X0,X3)
| ? [X4,X5,X6] :
( apply(X1,X5,X4)
& member(X5,X0)
& member(X6,X3)
& X4 != X6
& member(X4,X3)
& apply(X2,X5,X6) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X3,X2] :
( equal_maps(X2,X1,X0,X3)
| ? [X6,X4,X5] :
( X4 != X6
& apply(X2,X5,X6)
& apply(X1,X5,X4)
& member(X5,X0)
& member(X6,X3)
& member(X4,X3) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X3,X2] :
( ! [X6,X4,X5] :
( ( member(X5,X0)
& member(X6,X3)
& member(X4,X3) )
=> ( ( apply(X2,X5,X6)
& apply(X1,X5,X4) )
=> X4 = X6 ) )
=> equal_maps(X2,X1,X0,X3) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X3,X2] :
( ! [X6,X4,X5] :
( ( member(X5,X0)
& member(X6,X3)
& member(X4,X3) )
=> ( ( apply(X2,X5,X6)
& apply(X1,X5,X4) )
=> X4 = X6 ) )
<=> equal_maps(X2,X1,X0,X3) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X9,X5,X1] :
( equal_maps(X5,X9,X0,X1)
<=> ! [X7,X2,X6] :
( ( member(X2,X0)
& member(X6,X1)
& member(X7,X1) )
=> ( ( apply(X9,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_maps) ).
fof(f69,plain,
~ equal_maps(sK7,sK4,sK8,sK3),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( compose_predicate(sK4,sK2,sK5,sK8,sK6,sK3)
& compose_predicate(sK7,sK2,sK5,sK8,sK6,sK3)
& ~ equal_maps(sK7,sK4,sK8,sK3)
& maps(sK5,sK8,sK6)
& maps(sK2,sK6,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f54,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( compose_predicate(X2,X0,X3,X6,X4,X1)
& compose_predicate(X5,X0,X3,X6,X4,X1)
& ~ equal_maps(X5,X2,X6,X1)
& maps(X3,X6,X4)
& maps(X0,X4,X1) )
=> ( compose_predicate(sK4,sK2,sK5,sK8,sK6,sK3)
& compose_predicate(sK7,sK2,sK5,sK8,sK6,sK3)
& ~ equal_maps(sK7,sK4,sK8,sK3)
& maps(sK5,sK8,sK6)
& maps(sK2,sK6,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( compose_predicate(X2,X0,X3,X6,X4,X1)
& compose_predicate(X5,X0,X3,X6,X4,X1)
& ~ equal_maps(X5,X2,X6,X1)
& maps(X3,X6,X4)
& maps(X0,X4,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X0,X3,X2,X1,X5,X4,X6] :
( compose_predicate(X2,X0,X1,X6,X5,X3)
& compose_predicate(X4,X0,X1,X6,X5,X3)
& ~ equal_maps(X4,X2,X6,X3)
& maps(X1,X6,X5)
& maps(X0,X5,X3) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X1,X0,X3,X2,X5,X4,X6] :
( ~ equal_maps(X4,X2,X6,X3)
& compose_predicate(X2,X0,X1,X6,X5,X3)
& maps(X1,X6,X5)
& maps(X0,X5,X3)
& compose_predicate(X4,X0,X1,X6,X5,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X1,X0,X3,X2,X5,X4,X6] :
( ( compose_predicate(X2,X0,X1,X6,X5,X3)
& maps(X1,X6,X5)
& maps(X0,X5,X3)
& compose_predicate(X4,X0,X1,X6,X5,X3) )
=> equal_maps(X4,X2,X6,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X9,X5,X17,X10,X16,X1,X0] :
( ( compose_predicate(X16,X9,X5,X0,X1,X10)
& compose_predicate(X17,X9,X5,X0,X1,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> equal_maps(X16,X17,X0,X10) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X9,X5,X17,X10,X16,X1,X0] :
( ( compose_predicate(X16,X9,X5,X0,X1,X10)
& compose_predicate(X17,X9,X5,X0,X1,X10)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> equal_maps(X16,X17,X0,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII01a) ).
fof(f79,plain,
member(sK9(sK3,sK4,sK8,sK7),sK3),
inference(unit_resulting_resolution,[],[f69,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( member(sK9(X0,X1,X2,X3),X0)
| equal_maps(X3,X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f71,plain,
compose_predicate(sK4,sK2,sK5,sK8,sK6,sK3),
inference(cnf_transformation,[],[f56]) ).
fof(f87,plain,
member(sK1(sK6,sK2,sK5,sK9(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7)),sK6),
inference(unit_resulting_resolution,[],[f71,f83,f79,f78,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ compose_predicate(X2,X3,X5,X0,X1,X4)
| ~ apply(X2,X7,X6)
| ~ member(X6,X4)
| member(sK1(X1,X3,X5,X6,X7),X1)
| ~ member(X7,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f85,plain,
apply(sK5,sK10(sK3,sK4,sK8,sK7),sK0(sK5,sK6,sK10(sK3,sK4,sK8,sK7))),
inference(unit_resulting_resolution,[],[f68,f83,f62]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK0(X0,X2,X3)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f84,plain,
member(sK0(sK5,sK6,sK10(sK3,sK4,sK8,sK7)),sK6),
inference(unit_resulting_resolution,[],[f68,f83,f61]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK0(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f83,plain,
member(sK10(sK3,sK4,sK8,sK7),sK8),
inference(unit_resulting_resolution,[],[f69,f76]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( member(sK10(X0,X1,X2,X3),X2)
| equal_maps(X3,X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f68,plain,
maps(sK5,sK8,sK6),
inference(cnf_transformation,[],[f56]) ).
fof(f102,plain,
~ apply(sK2,sK1(sK6,sK2,sK5,sK9(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7)),sK11(sK3,sK4,sK8,sK7)),
inference(unit_resulting_resolution,[],[f67,f79,f81,f82,f87,f86,f60]) ).
fof(f86,plain,
apply(sK2,sK1(sK6,sK2,sK5,sK9(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7)),sK9(sK3,sK4,sK8,sK7)),
inference(unit_resulting_resolution,[],[f71,f83,f79,f78,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ compose_predicate(X2,X3,X5,X0,X1,X4)
| ~ member(X7,X0)
| ~ member(X6,X4)
| apply(X3,sK1(X1,X3,X5,X6,X7),X6)
| ~ apply(X2,X7,X6) ),
inference(cnf_transformation,[],[f53]) ).
fof(f82,plain,
sK9(sK3,sK4,sK8,sK7) != sK11(sK3,sK4,sK8,sK7),
inference(unit_resulting_resolution,[],[f69,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( sK9(X0,X1,X2,X3) != sK11(X0,X1,X2,X3)
| equal_maps(X3,X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f81,plain,
member(sK11(sK3,sK4,sK8,sK7),sK3),
inference(unit_resulting_resolution,[],[f69,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( member(sK11(X0,X1,X2,X3),X0)
| equal_maps(X3,X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f67,plain,
maps(sK2,sK6,sK3),
inference(cnf_transformation,[],[f56]) ).
fof(f143,plain,
apply(sK2,sK0(sK5,sK6,sK10(sK3,sK4,sK8,sK7)),sK11(sK3,sK4,sK8,sK7)),
inference(backward_demodulation,[],[f91,f134]) ).
fof(f134,plain,
sK1(sK6,sK2,sK5,sK11(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7)) = sK0(sK5,sK6,sK10(sK3,sK4,sK8,sK7)),
inference(unit_resulting_resolution,[],[f68,f83,f84,f85,f92,f93,f60]) ).
fof(f93,plain,
apply(sK5,sK10(sK3,sK4,sK8,sK7),sK1(sK6,sK2,sK5,sK11(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7))),
inference(unit_resulting_resolution,[],[f70,f81,f83,f80,f66]) ).
fof(f80,plain,
apply(sK7,sK10(sK3,sK4,sK8,sK7),sK11(sK3,sK4,sK8,sK7)),
inference(unit_resulting_resolution,[],[f69,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( apply(X3,sK10(X0,X1,X2,X3),sK11(X0,X1,X2,X3))
| equal_maps(X3,X1,X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
compose_predicate(sK7,sK2,sK5,sK8,sK6,sK3),
inference(cnf_transformation,[],[f56]) ).
fof(f92,plain,
member(sK1(sK6,sK2,sK5,sK11(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7)),sK6),
inference(unit_resulting_resolution,[],[f70,f83,f81,f80,f65]) ).
fof(f91,plain,
apply(sK2,sK1(sK6,sK2,sK5,sK11(sK3,sK4,sK8,sK7),sK10(sK3,sK4,sK8,sK7)),sK11(sK3,sK4,sK8,sK7)),
inference(unit_resulting_resolution,[],[f70,f83,f81,f80,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET708+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
% 0.12/0.34 % 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 16:06:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (4836)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (4820)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)
% 0.20/0.50 % (4816)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)
% 0.20/0.51 % (4815)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)
% 0.20/0.51 % (4813)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)
% 0.20/0.51 % (4828)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)
% 0.20/0.51 % (4832)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)
% 0.20/0.52 % (4812)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (4819)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)
% 0.20/0.52 % (4824)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)
% 0.20/0.52 % (4814)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)
% 0.20/0.52 % (4814)Instruction limit reached!
% 0.20/0.52 % (4814)------------------------------
% 0.20/0.52 % (4814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (4814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4814)Termination reason: Unknown
% 0.20/0.52 % (4814)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (4814)Memory used [KB]: 1535
% 0.20/0.52 % (4814)Time elapsed: 0.003 s
% 0.20/0.52 % (4814)Instructions burned: 5 (million)
% 0.20/0.52 % (4814)------------------------------
% 0.20/0.52 % (4814)------------------------------
% 0.20/0.52 % (4840)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)
% 0.20/0.53 % (4818)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)
% 0.20/0.53 % (4837)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)
% 0.20/0.53 % (4839)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)
% 0.20/0.53 % (4841)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)
% 0.20/0.53 % (4840)Instruction limit reached!
% 0.20/0.53 % (4840)------------------------------
% 0.20/0.53 % (4840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (4840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (4840)Termination reason: Unknown
% 0.20/0.53 % (4840)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (4840)Memory used [KB]: 6140
% 0.20/0.53 % (4840)Time elapsed: 0.131 s
% 0.20/0.53 % (4840)Instructions burned: 9 (million)
% 0.20/0.53 % (4840)------------------------------
% 0.20/0.53 % (4840)------------------------------
% 0.20/0.53 % (4835)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)
% 0.20/0.53 % (4834)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)
% 0.20/0.53 % (4817)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 % (4816)Instruction limit reached!
% 0.20/0.53 % (4816)------------------------------
% 0.20/0.53 % (4816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (4830)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)
% 0.20/0.53 % (4838)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)
% 0.20/0.53 % (4822)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)
% 0.20/0.53 % (4815)First to succeed.
% 0.20/0.53 % (4830)Instruction limit reached!
% 0.20/0.53 % (4830)------------------------------
% 0.20/0.53 % (4830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (4830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (4830)Termination reason: Unknown
% 0.20/0.53 % (4830)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (4830)Memory used [KB]: 1407
% 0.20/0.53 % (4830)Time elapsed: 0.004 s
% 0.20/0.53 % (4830)Instructions burned: 2 (million)
% 0.20/0.53 % (4830)------------------------------
% 0.20/0.53 % (4830)------------------------------
% 0.20/0.54 % (4813)Instruction limit reached!
% 0.20/0.54 % (4813)------------------------------
% 0.20/0.54 % (4813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4823)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)
% 0.20/0.54 % (4825)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)
% 0.20/0.54 % (4829)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (4833)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)
% 0.20/0.54 % (4821)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)
% 0.20/0.54 % (4827)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)
% 0.20/0.54 % (4826)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)
% 0.20/0.54 % (4816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4816)Termination reason: Unknown
% 0.20/0.54 % (4816)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (4829)Instruction limit reached!
% 0.20/0.54 % (4829)------------------------------
% 0.20/0.54 % (4829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4816)Memory used [KB]: 6140
% 0.20/0.54 % (4816)Time elapsed: 0.141 s
% 0.20/0.54 % (4816)Instructions burned: 13 (million)
% 0.20/0.54 % (4816)------------------------------
% 0.20/0.54 % (4816)------------------------------
% 0.20/0.54 % (4826)Instruction limit reached!
% 0.20/0.54 % (4826)------------------------------
% 0.20/0.54 % (4826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4826)Termination reason: Unknown
% 0.20/0.54 % (4826)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (4826)Memory used [KB]: 1535
% 0.20/0.54 % (4826)Time elapsed: 0.003 s
% 0.20/0.54 % (4826)Instructions burned: 4 (million)
% 0.20/0.54 % (4826)------------------------------
% 0.20/0.54 % (4826)------------------------------
% 0.20/0.54 % (4831)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)
% 0.20/0.55 % (4824)Instruction limit reached!
% 0.20/0.55 % (4824)------------------------------
% 0.20/0.55 % (4824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4827)Instruction limit reached!
% 0.20/0.55 % (4827)------------------------------
% 0.20/0.55 % (4827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4827)Termination reason: Unknown
% 0.20/0.55 % (4827)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (4827)Memory used [KB]: 6140
% 0.20/0.55 % (4827)Time elapsed: 0.119 s
% 0.20/0.55 % (4827)Instructions burned: 7 (million)
% 0.20/0.55 % (4827)------------------------------
% 0.20/0.55 % (4827)------------------------------
% 0.20/0.55 % (4829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4829)Termination reason: Unknown
% 0.20/0.55 % (4829)Termination phase: shuffling
% 0.20/0.55
% 0.20/0.55 % (4829)Memory used [KB]: 1535
% 0.20/0.55 % (4829)Time elapsed: 0.004 s
% 0.20/0.55 % (4829)Instructions burned: 4 (million)
% 0.20/0.55 % (4829)------------------------------
% 0.20/0.55 % (4829)------------------------------
% 0.20/0.55 % (4813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4813)Termination reason: Unknown
% 0.20/0.55 % (4813)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (4813)Memory used [KB]: 6140
% 0.20/0.55 % (4813)Time elapsed: 0.140 s
% 0.20/0.55 % (4813)Instructions burned: 14 (million)
% 0.20/0.55 % (4813)------------------------------
% 0.20/0.55 % (4813)------------------------------
% 0.20/0.55 % (4823)Instruction limit reached!
% 0.20/0.55 % (4823)------------------------------
% 0.20/0.55 % (4823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4823)Termination reason: Unknown
% 0.20/0.55 % (4823)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (4823)Memory used [KB]: 6140
% 0.20/0.55 % (4823)Time elapsed: 0.152 s
% 0.20/0.55 % (4823)Instructions burned: 7 (million)
% 0.20/0.55 % (4823)------------------------------
% 0.20/0.55 % (4823)------------------------------
% 0.20/0.55 % (4817)Also succeeded, but the first one will report.
% 0.20/0.55 % (4815)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (4815)------------------------------
% 0.20/0.55 % (4815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4815)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (4815)Memory used [KB]: 6140
% 0.20/0.55 % (4815)Time elapsed: 0.140 s
% 0.20/0.55 % (4815)Instructions burned: 10 (million)
% 0.20/0.55 % (4815)------------------------------
% 0.20/0.55 % (4815)------------------------------
% 0.20/0.55 % (4811)Success in time 0.198 s
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