TSTP Solution File: SWV384+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n015.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 18:45:24 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 64 ( 9 unt; 0 def)
% Number of atoms : 264 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 348 ( 148 ~; 132 |; 47 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 177 ( 123 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(subsumption_resolution,[],[f171,f143]) ).
fof(f143,plain,
check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))),
inference(subsumption_resolution,[],[f135,f131]) ).
fof(f131,plain,
( check_cpq(triple(sK6,sK7,sK8))
| check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(subsumption_resolution,[],[f130,f94]) ).
fof(f94,plain,
check_cpq(triple(sK10,sK9,sK11)),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( succ_cpq(triple(sK6,sK7,sK8),triple(sK10,sK9,sK11))
& check_cpq(triple(sK10,sK9,sK11))
& ok(triple(sK10,sK9,sK11))
& ( ~ ok(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK6,sK7,sK8)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f70,f72,f71]) ).
fof(f71,plain,
( ? [X0,X1,X2] :
( ? [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
& check_cpq(triple(X4,X3,X5))
& ok(triple(X4,X3,X5)) )
& ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) ) )
=> ( ? [X5,X4,X3] :
( succ_cpq(triple(sK6,sK7,sK8),triple(X4,X3,X5))
& check_cpq(triple(X4,X3,X5))
& ok(triple(X4,X3,X5)) )
& ( ~ ok(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK6,sK7,sK8)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X5,X4,X3] :
( succ_cpq(triple(sK6,sK7,sK8),triple(X4,X3,X5))
& check_cpq(triple(X4,X3,X5))
& ok(triple(X4,X3,X5)) )
=> ( succ_cpq(triple(sK6,sK7,sK8),triple(sK10,sK9,sK11))
& check_cpq(triple(sK10,sK9,sK11))
& ok(triple(sK10,sK9,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X4,X3,X5))
& check_cpq(triple(X4,X3,X5))
& ok(triple(X4,X3,X5)) )
& ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
? [X2,X1,X0] :
( ? [X5,X3,X4] :
( succ_cpq(triple(X2,X1,X0),triple(X3,X5,X4))
& check_cpq(triple(X3,X5,X4))
& ok(triple(X3,X5,X4)) )
& ( ~ ok(triple(X2,X1,X0))
| ~ check_cpq(triple(X2,X1,X0)) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ? [X4,X5,X3] :
( ok(triple(X3,X5,X4))
& check_cpq(triple(X3,X5,X4))
& succ_cpq(triple(X2,X1,X0),triple(X3,X5,X4)) )
& ( ~ ok(triple(X2,X1,X0))
| ~ check_cpq(triple(X2,X1,X0)) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1,X2] :
( ( ~ ok(triple(X2,X1,X0))
| ~ check_cpq(triple(X2,X1,X0)) )
=> ! [X4,X5,X3] :
( succ_cpq(triple(X2,X1,X0),triple(X3,X5,X4))
=> ( ~ ok(triple(X3,X5,X4))
| ~ check_cpq(triple(X3,X5,X4)) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ! [X3,X5,X4] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X2,X1,X0] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ! [X3,X5,X4] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l20_co) ).
fof(f130,plain,
( check_cpq(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK10,sK9,sK11))
| check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(subsumption_resolution,[],[f114,f93]) ).
fof(f93,plain,
ok(triple(sK10,sK9,sK11)),
inference(cnf_transformation,[],[f73]) ).
fof(f114,plain,
( check_cpq(im_succ_cpq(triple(sK2,sK1,sK0)))
| ~ ok(triple(sK10,sK9,sK11))
| ~ check_cpq(triple(sK10,sK9,sK11))
| check_cpq(triple(sK6,sK7,sK8)) ),
inference(resolution,[],[f95,f86]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| check_cpq(triple(X0,X2,X1))
| check_cpq(im_succ_cpq(triple(sK2,sK1,sK0)))
| ~ ok(triple(X4,X3,X5))
| ~ check_cpq(triple(X4,X3,X5)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ! [X0,X1,X2] :
( ( check_cpq(triple(X0,X2,X1))
& ok(triple(X0,X2,X1)) )
| ! [X3,X4,X5] :
( ~ ok(triple(X4,X3,X5))
| ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| ~ check_cpq(triple(X4,X3,X5)) ) )
| ( ( ~ check_cpq(triple(sK2,sK1,sK0))
| ~ ok(triple(sK2,sK1,sK0)) )
& ok(im_succ_cpq(triple(sK2,sK1,sK0)))
& succ_cpq(triple(sK4,sK5,sK3),triple(sK2,sK1,sK0))
& check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f66,f67]) ).
fof(f67,plain,
( ? [X6,X7,X8,X9,X10,X11] :
( ( ~ check_cpq(triple(X8,X7,X6))
| ~ ok(triple(X8,X7,X6)) )
& ok(im_succ_cpq(triple(X8,X7,X6)))
& succ_cpq(triple(X10,X11,X9),triple(X8,X7,X6))
& check_cpq(im_succ_cpq(triple(X8,X7,X6))) )
=> ( ( ~ check_cpq(triple(sK2,sK1,sK0))
| ~ ok(triple(sK2,sK1,sK0)) )
& ok(im_succ_cpq(triple(sK2,sK1,sK0)))
& succ_cpq(triple(sK4,sK5,sK3),triple(sK2,sK1,sK0))
& check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ! [X0,X1,X2] :
( ( check_cpq(triple(X0,X2,X1))
& ok(triple(X0,X2,X1)) )
| ! [X3,X4,X5] :
( ~ ok(triple(X4,X3,X5))
| ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| ~ check_cpq(triple(X4,X3,X5)) ) )
| ? [X6,X7,X8,X9,X10,X11] :
( ( ~ check_cpq(triple(X8,X7,X6))
| ~ ok(triple(X8,X7,X6)) )
& ok(im_succ_cpq(triple(X8,X7,X6)))
& succ_cpq(triple(X10,X11,X9),triple(X8,X7,X6))
& check_cpq(im_succ_cpq(triple(X8,X7,X6))) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
( ! [X7,X6,X8] :
( ( check_cpq(triple(X7,X8,X6))
& ok(triple(X7,X8,X6)) )
| ! [X10,X9,X11] :
( ~ ok(triple(X9,X10,X11))
| ~ succ_cpq(triple(X7,X8,X6),triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11)) ) )
| ? [X1,X4,X5,X0,X2,X3] :
( ( ~ check_cpq(triple(X5,X4,X1))
| ~ ok(triple(X5,X4,X1)) )
& ok(im_succ_cpq(triple(X5,X4,X1)))
& succ_cpq(triple(X2,X3,X0),triple(X5,X4,X1))
& check_cpq(im_succ_cpq(triple(X5,X4,X1))) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
( ! [X7,X8,X6] :
( ! [X11,X9,X10] :
( ~ ok(triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11))
| ~ succ_cpq(triple(X7,X8,X6),triple(X9,X10,X11)) )
| ( check_cpq(triple(X7,X8,X6))
& ok(triple(X7,X8,X6)) ) )
| ? [X5,X2,X1,X4,X3,X0] :
( ok(im_succ_cpq(triple(X5,X4,X1)))
& check_cpq(im_succ_cpq(triple(X5,X4,X1)))
& ( ~ check_cpq(triple(X5,X4,X1))
| ~ ok(triple(X5,X4,X1)) )
& succ_cpq(triple(X2,X3,X0),triple(X5,X4,X1)) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
( ! [X5,X2,X1,X4,X3,X0] :
( succ_cpq(triple(X2,X3,X0),triple(X5,X4,X1))
=> ( ( ~ check_cpq(triple(X5,X4,X1))
| ~ ok(triple(X5,X4,X1)) )
=> ( ~ ok(im_succ_cpq(triple(X5,X4,X1)))
| ~ check_cpq(im_succ_cpq(triple(X5,X4,X1))) ) ) )
=> ! [X7,X8,X6] :
( ( ~ check_cpq(triple(X7,X8,X6))
| ~ ok(triple(X7,X8,X6)) )
=> ! [X11,X9,X10] :
( succ_cpq(triple(X7,X8,X6),triple(X9,X10,X11))
=> ( ~ ok(triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11)) ) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( ! [X2,X5,X0,X1,X4,X3] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X3,X4,X5)))
| ~ ok(im_succ_cpq(triple(X3,X4,X5))) ) ) )
=> ! [X8,X6,X7] :
( ( ~ check_cpq(triple(X6,X7,X8))
| ~ ok(triple(X6,X7,X8)) )
=> ! [X9,X10,X11] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
=> ( ~ ok(triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l20_induction) ).
fof(f95,plain,
succ_cpq(triple(sK6,sK7,sK8),triple(sK10,sK9,sK11)),
inference(cnf_transformation,[],[f73]) ).
fof(f135,plain,
( ~ check_cpq(triple(sK6,sK7,sK8))
| check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(resolution,[],[f121,f92]) ).
fof(f92,plain,
( ~ ok(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK6,sK7,sK8)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f121,plain,
( ok(triple(sK6,sK7,sK8))
| check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(subsumption_resolution,[],[f120,f93]) ).
fof(f120,plain,
( ~ ok(triple(sK10,sK9,sK11))
| check_cpq(im_succ_cpq(triple(sK2,sK1,sK0)))
| ok(triple(sK6,sK7,sK8)) ),
inference(subsumption_resolution,[],[f110,f94]) ).
fof(f110,plain,
( check_cpq(im_succ_cpq(triple(sK2,sK1,sK0)))
| ~ check_cpq(triple(sK10,sK9,sK11))
| ~ ok(triple(sK10,sK9,sK11))
| ok(triple(sK6,sK7,sK8)) ),
inference(resolution,[],[f95,f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| ~ ok(triple(X4,X3,X5))
| ok(triple(X0,X2,X1))
| ~ check_cpq(triple(X4,X3,X5))
| check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f171,plain,
~ check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))),
inference(subsumption_resolution,[],[f142,f170]) ).
fof(f170,plain,
~ check_cpq(triple(sK2,sK1,sK0)),
inference(subsumption_resolution,[],[f166,f168]) ).
fof(f168,plain,
( ~ check_cpq(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK2,sK1,sK0)) ),
inference(resolution,[],[f167,f92]) ).
fof(f167,plain,
( ok(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK2,sK1,sK0)) ),
inference(subsumption_resolution,[],[f133,f164]) ).
fof(f164,plain,
ok(triple(sK2,sK1,sK0)),
inference(subsumption_resolution,[],[f141,f143]) ).
fof(f141,plain,
( ~ check_cpq(im_succ_cpq(triple(sK2,sK1,sK0)))
| ok(triple(sK2,sK1,sK0)) ),
inference(resolution,[],[f137,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X1,X2,X0)))
| ~ check_cpq(im_succ_cpq(triple(X1,X2,X0)))
| ok(triple(X1,X2,X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ check_cpq(im_succ_cpq(triple(X1,X2,X0)))
| ( ok(triple(X1,X2,X0))
& check_cpq(triple(X1,X2,X0)) )
| ~ ok(im_succ_cpq(triple(X1,X2,X0))) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X2,X1,X0] :
( ~ check_cpq(im_succ_cpq(triple(X1,X0,X2)))
| ( ok(triple(X1,X0,X2))
& check_cpq(triple(X1,X0,X2)) )
| ~ ok(im_succ_cpq(triple(X1,X0,X2))) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X2,X1] :
( ~ ok(im_succ_cpq(triple(X1,X0,X2)))
| ~ check_cpq(im_succ_cpq(triple(X1,X0,X2)))
| ( ok(triple(X1,X0,X2))
& check_cpq(triple(X1,X0,X2)) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X2,X1] :
( ( ~ ok(triple(X1,X0,X2))
| ~ check_cpq(triple(X1,X0,X2)) )
=> ( ~ ok(im_succ_cpq(triple(X1,X0,X2)))
| ~ check_cpq(im_succ_cpq(triple(X1,X0,X2))) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_l13) ).
fof(f137,plain,
ok(im_succ_cpq(triple(sK2,sK1,sK0))),
inference(subsumption_resolution,[],[f136,f123]) ).
fof(f123,plain,
( ok(im_succ_cpq(triple(sK2,sK1,sK0)))
| check_cpq(triple(sK6,sK7,sK8)) ),
inference(subsumption_resolution,[],[f122,f93]) ).
fof(f122,plain,
( ok(im_succ_cpq(triple(sK2,sK1,sK0)))
| ~ ok(triple(sK10,sK9,sK11))
| check_cpq(triple(sK6,sK7,sK8)) ),
inference(subsumption_resolution,[],[f116,f94]) ).
fof(f116,plain,
( ~ check_cpq(triple(sK10,sK9,sK11))
| check_cpq(triple(sK6,sK7,sK8))
| ~ ok(triple(sK10,sK9,sK11))
| ok(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(resolution,[],[f95,f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| ~ check_cpq(triple(X4,X3,X5))
| check_cpq(triple(X0,X2,X1))
| ok(im_succ_cpq(triple(sK2,sK1,sK0)))
| ~ ok(triple(X4,X3,X5)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f136,plain,
( ok(im_succ_cpq(triple(sK2,sK1,sK0)))
| ~ check_cpq(triple(sK6,sK7,sK8)) ),
inference(resolution,[],[f127,f92]) ).
fof(f127,plain,
( ok(triple(sK6,sK7,sK8))
| ok(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(subsumption_resolution,[],[f126,f93]) ).
fof(f126,plain,
( ~ ok(triple(sK10,sK9,sK11))
| ok(triple(sK6,sK7,sK8))
| ok(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(subsumption_resolution,[],[f112,f94]) ).
fof(f112,plain,
( ok(triple(sK6,sK7,sK8))
| ok(im_succ_cpq(triple(sK2,sK1,sK0)))
| ~ check_cpq(triple(sK10,sK9,sK11))
| ~ ok(triple(sK10,sK9,sK11)) ),
inference(resolution,[],[f95,f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| ~ ok(triple(X4,X3,X5))
| ~ check_cpq(triple(X4,X3,X5))
| ok(triple(X0,X2,X1))
| ok(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f133,plain,
( ~ ok(triple(sK2,sK1,sK0))
| ~ check_cpq(triple(sK2,sK1,sK0))
| ok(triple(sK6,sK7,sK8)) ),
inference(subsumption_resolution,[],[f132,f93]) ).
fof(f132,plain,
( ~ check_cpq(triple(sK2,sK1,sK0))
| ~ ok(triple(sK2,sK1,sK0))
| ~ ok(triple(sK10,sK9,sK11))
| ok(triple(sK6,sK7,sK8)) ),
inference(subsumption_resolution,[],[f113,f94]) ).
fof(f113,plain,
( ~ check_cpq(triple(sK10,sK9,sK11))
| ~ ok(triple(sK10,sK9,sK11))
| ~ check_cpq(triple(sK2,sK1,sK0))
| ok(triple(sK6,sK7,sK8))
| ~ ok(triple(sK2,sK1,sK0)) ),
inference(resolution,[],[f95,f85]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| ~ check_cpq(triple(sK2,sK1,sK0))
| ~ ok(triple(sK2,sK1,sK0))
| ~ ok(triple(X4,X3,X5))
| ~ check_cpq(triple(X4,X3,X5))
| ok(triple(X0,X2,X1)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f166,plain,
( ~ check_cpq(triple(sK2,sK1,sK0))
| check_cpq(triple(sK6,sK7,sK8)) ),
inference(resolution,[],[f164,f129]) ).
fof(f129,plain,
( ~ ok(triple(sK2,sK1,sK0))
| check_cpq(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK2,sK1,sK0)) ),
inference(subsumption_resolution,[],[f128,f93]) ).
fof(f128,plain,
( ~ ok(triple(sK10,sK9,sK11))
| ~ ok(triple(sK2,sK1,sK0))
| ~ check_cpq(triple(sK2,sK1,sK0))
| check_cpq(triple(sK6,sK7,sK8)) ),
inference(subsumption_resolution,[],[f117,f94]) ).
fof(f117,plain,
( ~ ok(triple(sK2,sK1,sK0))
| ~ check_cpq(triple(sK10,sK9,sK11))
| ~ ok(triple(sK10,sK9,sK11))
| check_cpq(triple(sK6,sK7,sK8))
| ~ check_cpq(triple(sK2,sK1,sK0)) ),
inference(resolution,[],[f95,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X2,X1),triple(X4,X3,X5))
| ~ check_cpq(triple(X4,X3,X5))
| ~ ok(triple(sK2,sK1,sK0))
| check_cpq(triple(X0,X2,X1))
| ~ check_cpq(triple(sK2,sK1,sK0))
| ~ ok(triple(X4,X3,X5)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f142,plain,
( check_cpq(triple(sK2,sK1,sK0))
| ~ check_cpq(im_succ_cpq(triple(sK2,sK1,sK0))) ),
inference(resolution,[],[f137,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X1,X2,X0)))
| check_cpq(triple(X1,X2,X0))
| ~ check_cpq(im_succ_cpq(triple(X1,X2,X0))) ),
inference(cnf_transformation,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:32:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (5554)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)
% 0.19/0.50 % (5542)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)
% 0.19/0.50 % (5570)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)
% 0.19/0.50 % (5562)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)
% 0.19/0.51 % (5553)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)
% 0.19/0.51 % (5552)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)
% 0.19/0.51 % (5549)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)
% 0.19/0.51 % (5546)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)
% 0.19/0.52 % (5546)First to succeed.
% 0.19/0.52 % (5541)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (5557)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)
% 0.19/0.52 % (5563)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)
% 0.19/0.52 % (5545)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)
% 0.19/0.52 % (5544)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)
% 0.19/0.52 % (5566)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)
% 0.19/0.53 % (5555)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)
% 0.19/0.53 % (5561)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)
% 0.19/0.53 % (5551)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)
% 0.19/0.53 % (5543)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)
% 0.19/0.53 % (5565)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)
% 0.19/0.53 % (5543)Instruction limit reached!
% 0.19/0.53 % (5543)------------------------------
% 0.19/0.53 % (5543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5543)Termination reason: Unknown
% 0.19/0.53 % (5543)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (5543)Memory used [KB]: 1535
% 0.19/0.53 % (5543)Time elapsed: 0.003 s
% 0.19/0.53 % (5543)Instructions burned: 4 (million)
% 0.19/0.53 % (5543)------------------------------
% 0.19/0.53 % (5543)------------------------------
% 0.19/0.53 % (5555)Instruction limit reached!
% 0.19/0.53 % (5555)------------------------------
% 0.19/0.53 % (5555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5555)Termination reason: Unknown
% 0.19/0.53 % (5555)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (5555)Memory used [KB]: 1535
% 0.19/0.53 % (5555)Time elapsed: 0.003 s
% 0.19/0.53 % (5555)Instructions burned: 3 (million)
% 0.19/0.53 % (5555)------------------------------
% 0.19/0.53 % (5555)------------------------------
% 0.19/0.53 % (5546)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (5546)------------------------------
% 0.19/0.53 % (5546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5546)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (5546)Memory used [KB]: 1535
% 0.19/0.53 % (5546)Time elapsed: 0.121 s
% 0.19/0.53 % (5546)Instructions burned: 6 (million)
% 0.19/0.53 % (5546)------------------------------
% 0.19/0.53 % (5546)------------------------------
% 0.19/0.53 % (5540)Success in time 0.183 s
%------------------------------------------------------------------------------