%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV384+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:09:05 PM UTC 2026
% Result : Theorem 0.72s 0.99s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 91 ( 11 unt; 6 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 352 ( 149 ~; 160 |; 27 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 129 ( 0 sgn 99 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
( ! [X0,X1,X2,X3,X4,X5] :
( 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))) ) ) )
=> ! [X6,X7,X8] :
( ( ~ 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(f43,axiom,
! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_l13) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l20_co) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ( check_cpq(triple(X0,X1,X2))
& ok(triple(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ( check_cpq(triple(X0,X1,X2))
& ok(triple(X0,X1,X2)) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ok(triple(X3,X4,X5))
& check_cpq(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ok(triple(X3,X4,X5))
& check_cpq(triple(X3,X4,X5))
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
& ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) ) ),
inference(flattening,[],[f51]) ).
fof(f54,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ( check_cpq(triple(X6,X7,X8))
& ok(triple(X6,X7,X8)) ) )
| ? [X0,X1,X2,X3,X4,X5] :
( check_cpq(im_succ_cpq(triple(X3,X4,X5)))
& ok(im_succ_cpq(triple(X3,X4,X5)))
& ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) )
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f55,plain,
( ! [X6,X7,X8] :
( ! [X9,X10,X11] :
( ~ ok(triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11))
| ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
| ( check_cpq(triple(X6,X7,X8))
& ok(triple(X6,X7,X8)) ) )
| ? [X0,X1,X2,X3,X4,X5] :
( check_cpq(im_succ_cpq(triple(X3,X4,X5)))
& ok(im_succ_cpq(triple(X3,X4,X5)))
& ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) )
& succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
( ok(triple(sK3,sK4,sK5))
& check_cpq(triple(sK3,sK4,sK5))
& succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5))
& ( ~ check_cpq(triple(sK0,sK1,sK2))
| ~ ok(triple(sK0,sK1,sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f52]) ).
fof(f57,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ( check_cpq(triple(X0,X1,X2))
& ok(triple(X0,X1,X2)) ) )
| ? [X6,X7,X8,X9,X10,X11] :
( check_cpq(im_succ_cpq(triple(X9,X10,X11)))
& ok(im_succ_cpq(triple(X9,X10,X11)))
& ( ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11)) )
& succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) ) ),
inference(rectify,[],[f55]) ).
fof(f58,plain,
( ! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
| ( check_cpq(triple(X0,X1,X2))
& ok(triple(X0,X1,X2)) ) )
| ( check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
& ok(im_succ_cpq(triple(sK9,sK10,sK11)))
& ( ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) )
& succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f57]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f61,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
| ~ ok(triple(sK0,sK1,sK2)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f62,plain,
succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f56]) ).
fof(f63,plain,
check_cpq(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f56]) ).
fof(f64,plain,
ok(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f56]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f78,definition,
( spl12_1
<=> ok(triple(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f80,plain,
( ~ ok(triple(sK0,sK1,sK2))
| spl12_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl12_2
<=> check_cpq(triple(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f84,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
| spl12_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f61,f82,f78]) ).
fof(f88,plain,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(resolution,[],[f62,f69]) ).
fof(f89,plain,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(resolution,[],[f62,f70]) ).
fof(f90,plain,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(resolution,[],[f62,f71]) ).
fof(f92,plain,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5))
| check_cpq(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(resolution,[],[f62,f73]) ).
fof(f93,plain,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5))
| check_cpq(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(resolution,[],[f62,f74]) ).
fof(f94,plain,
( ~ check_cpq(triple(sK3,sK4,sK5))
| ~ ok(triple(sK3,sK4,sK5))
| check_cpq(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(resolution,[],[f62,f75]) ).
fof(f95,plain,
( ~ ok(triple(sK3,sK4,sK5))
| check_cpq(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f94,f63]) ).
fof(f96,plain,
( ~ ok(triple(sK3,sK4,sK5))
| check_cpq(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f93,f63]) ).
fof(f97,plain,
( ~ ok(triple(sK3,sK4,sK5))
| check_cpq(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(forward_subsumption_resolution,[],[f92,f63]) ).
fof(f99,plain,
( ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f90,f63]) ).
fof(f100,plain,
( ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f89,f63]) ).
fof(f101,plain,
( ~ ok(triple(sK3,sK4,sK5))
| ok(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(forward_subsumption_resolution,[],[f88,f63]) ).
fof(f103,plain,
( check_cpq(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f95,f64]) ).
fof(f104,plain,
( check_cpq(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f96,f64]) ).
fof(f105,plain,
( check_cpq(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(forward_subsumption_resolution,[],[f97,f64]) ).
fof(f107,plain,
( ok(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f99,f64]) ).
fof(f108,plain,
( ok(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[],[f100,f64]) ).
fof(f109,plain,
( ok(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11)) ),
inference(forward_subsumption_resolution,[],[f101,f64]) ).
fof(f115,plain,
( check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f107,f80]) ).
fof(f116,plain,
( ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f108,f80]) ).
fof(f117,plain,
( ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11))
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f109,f80]) ).
fof(f120,definition,
( spl12_3
<=> check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f122,plain,
( check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f129,definition,
( spl12_5
<=> ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f131,plain,
( ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f134,definition,
( spl12_6
<=> ok(triple(sK9,sK10,sK11)) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f138,definition,
( spl12_7
<=> check_cpq(triple(sK9,sK10,sK11)) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f140,plain,
( ~ check_cpq(triple(sK9,sK10,sK11))
| spl12_7 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f147,plain,
( spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f115,f78,f120]) ).
fof(f148,plain,
( spl12_5
| spl12_1 ),
inference(avatar_split_clause,[],[f116,f78,f129]) ).
fof(f149,plain,
( ~ spl12_6
| ~ spl12_7
| spl12_1 ),
inference(avatar_split_clause,[],[f117,f78,f138,f134]) ).
fof(f151,plain,
( check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f103,f84]) ).
fof(f152,plain,
( ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f104,f84]) ).
fof(f153,plain,
( ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK9,sK10,sK11))
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f105,f84]) ).
fof(f155,plain,
( spl12_3
| spl12_2 ),
inference(avatar_split_clause,[],[f151,f82,f120]) ).
fof(f156,plain,
( spl12_5
| spl12_2 ),
inference(avatar_split_clause,[],[f152,f82,f129]) ).
fof(f157,plain,
( ~ spl12_6
| ~ spl12_7
| spl12_2 ),
inference(avatar_split_clause,[],[f153,f82,f138,f134]) ).
fof(f159,plain,
( ~ check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| check_cpq(triple(sK9,sK10,sK11))
| ~ spl12_5 ),
inference(resolution,[],[f131,f60]) ).
fof(f160,plain,
( ~ check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| ok(triple(sK9,sK10,sK11))
| ~ spl12_5 ),
inference(resolution,[],[f131,f59]) ).
fof(f161,plain,
( ok(triple(sK9,sK10,sK11))
| ~ spl12_3
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f160,f122]) ).
fof(f162,plain,
( check_cpq(triple(sK9,sK10,sK11))
| ~ spl12_3
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f159,f122]) ).
fof(f163,plain,
( spl12_6
| ~ spl12_3
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f161,f129,f120,f134]) ).
fof(f164,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f162,f140]) ).
fof(f165,plain,
( ~ spl12_3
| ~ spl12_5
| spl12_7 ),
inference(avatar_contradiction_clause,[],[f164]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f85]) ).
cnf(s6,plain,
( spl12_1
| spl12_3 ),
inference(sat_conversion,[],[f147]) ).
cnf(s7,plain,
( spl12_1
| spl12_5 ),
inference(sat_conversion,[],[f148]) ).
cnf(s8,plain,
( spl12_1
| ~ spl12_6
| ~ spl12_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s10,plain,
( spl12_2
| spl12_3 ),
inference(sat_conversion,[],[f155]) ).
cnf(s11,plain,
( spl12_2
| spl12_5 ),
inference(sat_conversion,[],[f156]) ).
cnf(s12,plain,
( spl12_2
| ~ spl12_6
| ~ spl12_7 ),
inference(sat_conversion,[],[f157]) ).
cnf(s14,plain,
( ~ spl12_3
| ~ spl12_5
| spl12_6 ),
inference(sat_conversion,[],[f163]) ).
cnf(s15,plain,
( ~ spl12_3
| ~ spl12_5
| spl12_7 ),
inference(sat_conversion,[],[f165]) ).
cnf(s16,plain,
spl12_1,
inference(rat,[],[s8,s14,s15,s6,s7]) ).
cnf(s17,plain,
~ spl12_2,
inference(rat,[],[s1,s16]) ).
cnf(s19,plain,
spl12_5,
inference(rat,[],[s11,s17]) ).
cnf(s20,plain,
spl12_3,
inference(rat,[],[s10,s17]) ).
cnf(s21,plain,
spl12_7,
inference(rat,[],[s15,s19,s20]) ).
cnf(s22,plain,
spl12_6,
inference(rat,[],[s14,s19,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s12,s17,s21,s22]) ).
fof(f166,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV384+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n026.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.20 % WCLimit : 300
% 0.12/0.20 % DateTime : Mon Sep 28 10:50:42 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.24 Running first-order theorem proving
% 0.12/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.99 % (3776581)Detected formulas, will run a generic FOF schedule.
% 0.72/0.99 % (3776592)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2978214843:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.72/0.99 % (3776592)First to succeed.
% 0.72/0.99 % (3776592)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3776581"
% 0.72/0.99 % (3776587)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2835708891:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.72/0.99 % (3776593)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1040344406:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.72/0.99 % (3776595)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1475309789:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.72/0.99 % (3776596)dis-21_1_sil=8000:lcm=predicate:random_seed=1245929430:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.72/0.99 % (3776590)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3010225216:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.72/0.99 % (3776588)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3426052371:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.72/0.99 % (3776596)Also succeeded, but the first one will report.
% 0.72/0.99 % (3776593)Also succeeded, but the first one will report.
% 0.72/0.99 % (3776595)Also succeeded, but the first one will report.
% 0.72/0.99 % (3776592)Refutation found. Thanks to Tanya!
% 0.72/0.99 % SZS status Theorem for theBenchmark
% 0.72/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.18 % (3776592)------------------------------
% 2.62/1.18 % (3776592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.18 % (3776592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.18 % (3776592)CaDiCaL version: 2.1.3
% 2.62/1.18 % (3776592)Termination reason: Refutation
% 2.62/1.18 % (3776592)Time elapsed: 0.003 s
% 2.62/1.18 % (3776592)Peak memory usage: 89 MB
% 2.62/1.18 % (3776592)Instructions burned: 6 (million)
% 2.62/1.18 % (3776592)------------------------------
% 2.62/1.18 % (3776592)------------------------------
% 2.62/1.18 % (3776581)Success in time 0.267 s
% 2.62/1.18 % Vampire exiting
%------------------------------------------------------------------------------