%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX036+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:45:43 PM UTC 2026
% Result : Theorem 3.22s 1.07s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 22
% Syntax : Number of formulae : 166 ( 25 unt; 13 def)
% Number of atoms : 541 ( 95 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 649 ( 274 ~; 296 |; 48 &)
% ( 11 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn 125 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
! [X0] : '@+'('0',X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:zero)') ).
fof(f46,axiom,
! [X0,X1] :
( nat_succeeds(X0)
=> '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:successor)') ).
fof(f47,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> nat_succeeds('@+'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(plus:types)') ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( nat_succeeds(X0)
& nat_succeeds(X1)
& nat_succeeds(X2) )
=> '@+'('@+'(X0,X1),X2) = '@+'(X0,'@+'(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(plus:associative)') ).
fof(f60,axiom,
! [X0] :
( nat_succeeds(X0)
=> '@*'('0',X0) = '0' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(times:zero)') ).
fof(f61,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(times:successor)') ).
fof(f62,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> nat_succeeds('@*'(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(times:types)') ).
fof(f63,axiom,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( ( nat_succeeds(X3)
& nat_succeeds(X2) )
=> '@*'('@+'(X1,X2),X3) = '@+'('@*'(X1,X3),'@*'(X2,X3)) ) )
| X0 = '0' )
=> ! [X2,X3] :
( ( nat_succeeds(X3)
& nat_succeeds(X2) )
=> '@*'('@+'(X0,X2),X3) = '@+'('@*'(X0,X3),'@*'(X2,X3)) ) )
=> ! [X0] :
( nat_succeeds(X0)
=> ! [X2,X3] :
( ( nat_succeeds(X3)
& nat_succeeds(X2) )
=> '@*'('@+'(X0,X2),X3) = '@+'('@*'(X0,X3),'@*'(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
fof(f64,conjecture,
! [X0,X1,X2] :
( ( nat_succeeds(X0)
& nat_succeeds(X1)
& nat_succeeds(X2) )
=> '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(plus:times:distributive)') ).
fof(f65,negated_conjecture,
~ ! [X0,X1,X2] :
( ( nat_succeeds(X0)
& nat_succeeds(X1)
& nat_succeeds(X2) )
=> '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f66,plain,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( ( nat_succeeds(X3)
& nat_succeeds(X2) )
=> '@*'('@+'(X1,X2),X3) = '@+'('@*'(X1,X3),'@*'(X2,X3)) ) )
| X0 = '0' )
=> ! [X4,X5] :
( ( nat_succeeds(X5)
& nat_succeeds(X4) )
=> '@*'('@+'(X0,X4),X5) = '@+'('@*'(X0,X5),'@*'(X4,X5)) ) )
=> ! [X6] :
( nat_succeeds(X6)
=> ! [X7,X8] :
( ( nat_succeeds(X8)
& nat_succeeds(X7) )
=> '@*'('@+'(X6,X7),X8) = '@+'('@*'(X6,X8),'@*'(X7,X8)) ) ) ),
inference(rectify,[],[f63]) ).
fof(f67,plain,
? [X0,X1,X2] :
( '@*'('@+'(X0,X1),X2) != '@+'('@*'(X0,X2),'@*'(X1,X2))
& nat_succeeds(X0)
& nat_succeeds(X1)
& nat_succeeds(X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f68,plain,
? [X0,X1,X2] :
( '@*'('@+'(X0,X1),X2) != '@+'('@*'(X0,X2),'@*'(X1,X2))
& nat_succeeds(X0)
& nat_succeeds(X1)
& nat_succeeds(X2) ),
inference(flattening,[],[f67]) ).
fof(f76,plain,
! [X0,X1,X2] :
( '@+'('@+'(X0,X1),X2) = '@+'(X0,'@+'(X1,X2))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f77,plain,
! [X0,X1,X2] :
( '@+'('@+'(X0,X1),X2) = '@+'(X0,'@+'(X1,X2))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( nat_succeeds('@+'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f79,plain,
! [X0,X1] :
( nat_succeeds('@+'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f82,plain,
( ! [X6] :
( ! [X7,X8] :
( '@*'('@+'(X6,X7),X8) = '@+'('@*'(X6,X8),'@*'(X7,X8))
| ~ nat_succeeds(X8)
| ~ nat_succeeds(X7) )
| ~ nat_succeeds(X6) )
| ? [X0] :
( ? [X4,X5] :
( '@*'('@+'(X0,X4),X5) != '@+'('@*'(X0,X5),'@*'(X4,X5))
& nat_succeeds(X5)
& nat_succeeds(X4) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@*'('@+'(X1,X2),X3) = '@+'('@*'(X1,X3),'@*'(X2,X3))
| ~ nat_succeeds(X3)
| ~ nat_succeeds(X2) ) )
| X0 = '0' ) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f83,plain,
( ! [X6] :
( ! [X7,X8] :
( '@*'('@+'(X6,X7),X8) = '@+'('@*'(X6,X8),'@*'(X7,X8))
| ~ nat_succeeds(X8)
| ~ nat_succeeds(X7) )
| ~ nat_succeeds(X6) )
| ? [X0] :
( ? [X4,X5] :
( '@*'('@+'(X0,X4),X5) != '@+'('@*'(X0,X5),'@*'(X4,X5))
& nat_succeeds(X5)
& nat_succeeds(X4) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@*'('@+'(X1,X2),X3) = '@+'('@*'(X1,X3),'@*'(X2,X3))
| ~ nat_succeeds(X3)
| ~ nat_succeeds(X2) ) )
| X0 = '0' ) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f85,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f87,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0] :
( '@*'('0',X0) = '0'
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f91,plain,
( '@*'('@+'(sK0,sK1),sK2) != '@+'('@*'(sK0,sK2),'@*'(sK1,sK2))
& nat_succeeds(sK0)
& nat_succeeds(sK1)
& nat_succeeds(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f68]) ).
fof(f93,plain,
( ! [X0] :
( ! [X1,X2] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) )
| ~ nat_succeeds(X0) )
| ? [X3] :
( ? [X4,X5] :
( '@*'('@+'(X3,X4),X5) != '@+'('@*'(X3,X5),'@*'(X4,X5))
& nat_succeeds(X5)
& nat_succeeds(X4) )
& ( ? [X6] :
( s(X6) = X3
& nat_succeeds(X6)
& ! [X7,X8] :
( '@*'('@+'(X6,X7),X8) = '@+'('@*'(X6,X8),'@*'(X7,X8))
| ~ nat_succeeds(X8)
| ~ nat_succeeds(X7) ) )
| '0' = X3 ) ) ),
inference(rectify,[],[f83]) ).
fof(f94,plain,
( ! [X0] :
( ! [X1,X2] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) )
| ~ nat_succeeds(X0) )
| ( '@*'('@+'(sK3,sK4),sK5) != '@+'('@*'(sK3,sK5),'@*'(sK4,sK5))
& nat_succeeds(sK5)
& nat_succeeds(sK4)
& ( ( sK3 = s(sK6)
& nat_succeeds(sK6)
& ! [X7,X8] :
( '@*'('@+'(sK6,X7),X8) = '@+'('@*'(sK6,X8),'@*'(X7,X8))
| ~ nat_succeeds(X8)
| ~ nat_succeeds(X7) ) )
| '0' = sK3 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f93]) ).
fof(f96,plain,
nat_succeeds(sK2),
inference(cnf_transformation,[],[f91]) ).
fof(f97,plain,
nat_succeeds(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f98,plain,
nat_succeeds(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f99,plain,
'@*'('@+'(sK0,sK1),sK2) != '@+'('@*'(sK0,sK2),'@*'(sK1,sK2)),
inference(cnf_transformation,[],[f91]) ).
fof(f104,plain,
! [X2,X0,X1] :
( '@+'('@+'(X0,X1),X2) = '@+'(X0,'@+'(X1,X2))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f105,plain,
! [X0,X1] :
( nat_succeeds('@+'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f106,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f107,plain,
! [X0] : '@+'('0',X0) = X0,
inference(cnf_transformation,[],[f45]) ).
fof(f110,plain,
! [X2,X0,X1,X8,X7] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@*'('@+'(sK6,X7),X8) = '@+'('@*'(sK6,X8),'@*'(X7,X8))
| ~ nat_succeeds(X8)
| ~ nat_succeeds(X7)
| '0' = sK3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f111,plain,
! [X2,X0,X1] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds(sK6)
| '0' = sK3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f112,plain,
! [X2,X0,X1] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| sK3 = s(sK6)
| '0' = sK3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f113,plain,
! [X2,X0,X1] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds(sK4) ),
inference(cnf_transformation,[],[f94]) ).
fof(f114,plain,
! [X2,X0,X1] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds(sK5) ),
inference(cnf_transformation,[],[f94]) ).
fof(f115,plain,
! [X2,X0,X1] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@*'('@+'(sK3,sK4),sK5) != '@+'('@*'(sK3,sK5),'@*'(sK4,sK5)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f116,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f117,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f118,plain,
! [X0] :
( '0' = '@*'('0',X0)
| ~ nat_succeeds(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f121,definition,
~ sP7('@*'('@+'(sK0,sK1),sK2)),
introduced(definition,[new_symbols(definition,[sP7])],[inequality_splitting_name_introduction]) ).
fof(f122,plain,
sP7('@+'('@*'(sK0,sK2),'@*'(sK1,sK2))),
inference(inequality_splitting,[],[f99,f121]) ).
fof(f123,definition,
~ sP8('@*'('@+'(sK3,sK4),sK5)),
introduced(definition,[new_symbols(definition,[sP8])],[inequality_splitting_name_introduction]) ).
fof(f124,plain,
! [X2,X0,X1] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| sP8('@+'('@*'(sK3,sK5),'@*'(sK4,sK5))) ),
inference(inequality_splitting,[],[f115,f123]) ).
fof(f127,plain,
! [X8,X7] :
( '@*'('@+'(sK6,X7),X8) = '@+'('@*'(sK6,X8),'@*'(X7,X8))
| ~ nat_succeeds(X8)
| sP9(X7) ),
inference(cnf_transformation,[],[f127_D]) ).
fof(f127_D,definition,
! [X7] :
( ! [X8] :
( '@*'('@+'(sK6,X7),X8) = '@+'('@*'(sK6,X8),'@*'(X7,X8))
| ~ nat_succeeds(X8) )
<=> ~ sP9(X7) ),
introduced(definition,[new_symbols(definition,[sP9])],[general_splitting_component_introduction]) ).
fof(f128,plain,
! [X2,X0,X1,X7] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X7)
| '0' = sK3
| ~ sP9(X7) ),
inference(general_splitting,[],[f110,f127_D]) ).
fof(f129,plain,
! [X7] :
( ~ sP9(X7)
| ~ nat_succeeds(X7)
| sP10 ),
inference(cnf_transformation,[],[f129_D]) ).
fof(f129_D,definition,
( ! [X7] :
( ~ sP9(X7)
| ~ nat_succeeds(X7) )
<=> ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[general_splitting_component_introduction]) ).
fof(f130,plain,
! [X2,X0,X1] :
( '@*'('@+'(X0,X1),X2) = '@+'('@*'(X0,X2),'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '0' = sK3
| ~ sP10 ),
inference(general_splitting,[],[f128,f129_D]) ).
fof(f131,plain,
( ~ sP7('@+'('@*'(sK0,sK2),'@*'(sK1,sK2)))
| ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK6)
| '0' = sK3 ),
inference(superposition,[],[f121,f111]) ).
fof(f132,plain,
( ~ sP7('@+'('@*'(sK0,sK2),'@*'(sK1,sK2)))
| ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| sK3 = s(sK6)
| '0' = sK3 ),
inference(superposition,[],[f121,f112]) ).
fof(f133,plain,
( ~ sP7('@+'('@*'(sK0,sK2),'@*'(sK1,sK2)))
| ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK4) ),
inference(superposition,[],[f121,f113]) ).
fof(f134,plain,
( ~ sP7('@+'('@*'(sK0,sK2),'@*'(sK1,sK2)))
| ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK5) ),
inference(superposition,[],[f121,f114]) ).
fof(f135,plain,
( ~ sP7('@+'('@*'(sK0,sK2),'@*'(sK1,sK2)))
| ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| sP8('@+'('@*'(sK3,sK5),'@*'(sK4,sK5))) ),
inference(superposition,[],[f121,f124]) ).
fof(f136,plain,
( ~ sP7('@+'('@*'(sK0,sK2),'@*'(sK1,sK2)))
| ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| '0' = sK3
| ~ sP10 ),
inference(superposition,[],[f121,f130]) ).
fof(f137,plain,
( ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| '0' = sK3
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f136,f122]) ).
fof(f138,plain,
( ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| sP8('@+'('@*'(sK3,sK5),'@*'(sK4,sK5))) ),
inference(forward_subsumption_resolution,[],[f135,f122]) ).
fof(f139,plain,
( ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK5) ),
inference(forward_subsumption_resolution,[],[f134,f122]) ).
fof(f140,plain,
( ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK4) ),
inference(forward_subsumption_resolution,[],[f133,f122]) ).
fof(f141,plain,
( ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| sK3 = s(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f132,f122]) ).
fof(f142,plain,
( ~ nat_succeeds(sK2)
| ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f131,f122]) ).
fof(f143,plain,
( ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| '0' = sK3
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f137,f96]) ).
fof(f144,plain,
( ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| sP8('@+'('@*'(sK3,sK5),'@*'(sK4,sK5))) ),
inference(forward_subsumption_resolution,[],[f138,f96]) ).
fof(f145,plain,
( ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK5) ),
inference(forward_subsumption_resolution,[],[f139,f96]) ).
fof(f146,plain,
( ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK4) ),
inference(forward_subsumption_resolution,[],[f140,f96]) ).
fof(f147,plain,
( ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| sK3 = s(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f141,f96]) ).
fof(f148,plain,
( ~ nat_succeeds(sK1)
| ~ nat_succeeds(sK0)
| nat_succeeds(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f142,f96]) ).
fof(f149,plain,
( ~ nat_succeeds(sK0)
| '0' = sK3
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f143,f97]) ).
fof(f150,plain,
( ~ nat_succeeds(sK0)
| sP8('@+'('@*'(sK3,sK5),'@*'(sK4,sK5))) ),
inference(forward_subsumption_resolution,[],[f144,f97]) ).
fof(f151,plain,
( ~ nat_succeeds(sK0)
| nat_succeeds(sK5) ),
inference(forward_subsumption_resolution,[],[f145,f97]) ).
fof(f152,plain,
( ~ nat_succeeds(sK0)
| nat_succeeds(sK4) ),
inference(forward_subsumption_resolution,[],[f146,f97]) ).
fof(f153,plain,
( ~ nat_succeeds(sK0)
| sK3 = s(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f147,f97]) ).
fof(f154,plain,
( ~ nat_succeeds(sK0)
| nat_succeeds(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f148,f97]) ).
fof(f155,plain,
( '0' = sK3
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f149,f98]) ).
fof(f156,plain,
sP8('@+'('@*'(sK3,sK5),'@*'(sK4,sK5))),
inference(forward_subsumption_resolution,[],[f150,f98]) ).
fof(f157,plain,
nat_succeeds(sK5),
inference(forward_subsumption_resolution,[],[f151,f98]) ).
fof(f158,plain,
nat_succeeds(sK4),
inference(forward_subsumption_resolution,[],[f152,f98]) ).
fof(f159,plain,
( sK3 = s(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f153,f98]) ).
fof(f160,plain,
( nat_succeeds(sK6)
| '0' = sK3 ),
inference(forward_subsumption_resolution,[],[f154,f98]) ).
fof(f162,definition,
( spl11_1
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f164,plain,
( ~ sP10
| spl11_1 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,definition,
( spl11_2
<=> '0' = sK3 ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f168,plain,
( '0' = sK3
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f169,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f155,f166,f162]) ).
fof(f171,definition,
( spl11_3
<=> sK3 = s(sK6) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f173,plain,
( sK3 = s(sK6)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,plain,
( spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f159,f171,f166]) ).
fof(f176,definition,
( spl11_4
<=> nat_succeeds(sK6) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f178,plain,
( nat_succeeds(sK6)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( spl11_2
| spl11_4 ),
inference(avatar_split_clause,[],[f160,f176,f166]) ).
fof(f180,plain,
( ~ sP8('@*'('@+'('0',sK4),sK5))
| ~ spl11_2 ),
inference(superposition,[],[f123,f168]) ).
fof(f181,plain,
( ~ sP8('@*'(sK4,sK5))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f180,f107]) ).
fof(f182,plain,
( sP8('@+'('@*'('0',sK5),'@*'(sK4,sK5)))
| ~ spl11_2 ),
inference(superposition,[],[f156,f168]) ).
fof(f183,plain,
( sP8('@+'('0','@*'(sK4,sK5)))
| ~ nat_succeeds(sK5)
| ~ spl11_2 ),
inference(superposition,[],[f182,f118]) ).
fof(f184,plain,
( sP8('@+'('0','@*'(sK4,sK5)))
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f183,f157]) ).
fof(f185,plain,
( sP8('@*'(sK4,sK5))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f184,f107]) ).
fof(f186,plain,
( $false
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f185,f181]) ).
fof(f187,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f189,plain,
( sP8('@+'('@*'(s(sK6),sK5),'@*'(sK4,sK5)))
| ~ spl11_3 ),
inference(superposition,[],[f156,f173]) ).
fof(f190,plain,
( ~ sP8('@*'('@+'(s(sK6),sK4),sK5))
| ~ spl11_3 ),
inference(superposition,[],[f123,f173]) ).
fof(f191,plain,
( ~ sP8('@*'(s('@+'(sK6,sK4)),sK5))
| ~ nat_succeeds(sK6)
| ~ spl11_3 ),
inference(superposition,[],[f190,f106]) ).
fof(f200,plain,
( ~ sP8('@*'(s('@+'(sK6,sK4)),sK5))
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f191,f178]) ).
fof(f202,plain,
( sP8('@+'('@+'(sK5,'@*'(sK6,sK5)),'@*'(sK4,sK5)))
| ~ nat_succeeds(sK6)
| ~ nat_succeeds(sK5)
| ~ spl11_3 ),
inference(superposition,[],[f189,f117]) ).
fof(f203,plain,
( sP8('@+'('@+'(sK5,'@*'(sK6,sK5)),'@*'(sK4,sK5)))
| ~ nat_succeeds(sK5)
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f202,f178]) ).
fof(f204,plain,
( sP8('@+'('@+'(sK5,'@*'(sK6,sK5)),'@*'(sK4,sK5)))
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f203,f157]) ).
fof(f205,plain,
( ~ sP8('@+'(sK5,'@*'('@+'(sK6,sK4),sK5)))
| ~ nat_succeeds('@+'(sK6,sK4))
| ~ nat_succeeds(sK5)
| ~ spl11_3
| ~ spl11_4 ),
inference(superposition,[],[f200,f117]) ).
fof(f206,plain,
( ~ sP8('@+'(sK5,'@*'('@+'(sK6,sK4),sK5)))
| ~ nat_succeeds('@+'(sK6,sK4))
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f205,f157]) ).
fof(f208,definition,
( spl11_5
<=> nat_succeeds('@+'(sK6,sK4)) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f210,plain,
( ~ nat_succeeds('@+'(sK6,sK4))
| spl11_5 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,definition,
( spl11_6
<=> sP8('@+'(sK5,'@*'('@+'(sK6,sK4),sK5))) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f214,plain,
( ~ sP8('@+'(sK5,'@*'('@+'(sK6,sK4),sK5)))
| spl11_6 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( ~ spl11_5
| ~ spl11_6
| ~ spl11_3
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f206,f176,f171,f212,f208]) ).
fof(f233,plain,
( ~ nat_succeeds(sK6)
| ~ nat_succeeds(sK4)
| spl11_5 ),
inference(resolution,[],[f210,f105]) ).
fof(f234,plain,
( ~ nat_succeeds(sK4)
| ~ spl11_4
| spl11_5 ),
inference(forward_subsumption_resolution,[],[f233,f178]) ).
fof(f235,plain,
( $false
| ~ spl11_4
| spl11_5 ),
inference(forward_subsumption_resolution,[],[f234,f158]) ).
fof(f236,plain,
( ~ spl11_4
| spl11_5 ),
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f237,plain,
( sP8('@+'(sK5,'@+'('@*'(sK6,sK5),'@*'(sK4,sK5))))
| ~ nat_succeeds(sK5)
| ~ nat_succeeds('@*'(sK6,sK5))
| ~ nat_succeeds('@*'(sK4,sK5))
| ~ spl11_3
| ~ spl11_4 ),
inference(superposition,[],[f204,f104]) ).
fof(f238,plain,
( sP8('@+'(sK5,'@+'('@*'(sK6,sK5),'@*'(sK4,sK5))))
| ~ nat_succeeds('@*'(sK6,sK5))
| ~ nat_succeeds('@*'(sK4,sK5))
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f237,f157]) ).
fof(f240,definition,
( spl11_9
<=> nat_succeeds('@*'(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f242,plain,
( ~ nat_succeeds('@*'(sK4,sK5))
| spl11_9 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f244,definition,
( spl11_10
<=> nat_succeeds('@*'(sK6,sK5)) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f246,plain,
( ~ nat_succeeds('@*'(sK6,sK5))
| spl11_10 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl11_11
<=> sP8('@+'(sK5,'@+'('@*'(sK6,sK5),'@*'(sK4,sK5)))) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f250,plain,
( sP8('@+'(sK5,'@+'('@*'(sK6,sK5),'@*'(sK4,sK5))))
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( ~ spl11_9
| ~ spl11_10
| spl11_11
| ~ spl11_3
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f238,f176,f171,f248,f244,f240]) ).
fof(f252,plain,
( ~ nat_succeeds(sK4)
| ~ nat_succeeds(sK5)
| spl11_9 ),
inference(resolution,[],[f242,f116]) ).
fof(f253,plain,
( ~ nat_succeeds(sK5)
| spl11_9 ),
inference(forward_subsumption_resolution,[],[f252,f158]) ).
fof(f254,plain,
( $false
| spl11_9 ),
inference(forward_subsumption_resolution,[],[f253,f157]) ).
fof(f255,plain,
spl11_9,
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f256,plain,
( ~ nat_succeeds(sK6)
| ~ nat_succeeds(sK5)
| spl11_10 ),
inference(resolution,[],[f246,f116]) ).
fof(f257,plain,
( ~ nat_succeeds(sK5)
| ~ spl11_4
| spl11_10 ),
inference(forward_subsumption_resolution,[],[f256,f178]) ).
fof(f258,plain,
( $false
| ~ spl11_4
| spl11_10 ),
inference(forward_subsumption_resolution,[],[f257,f157]) ).
fof(f259,plain,
( ~ spl11_4
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f260,plain,
( ~ sP8('@+'(sK5,'@+'('@*'(sK6,sK5),'@*'(sK4,sK5))))
| ~ nat_succeeds(sK5)
| sP9(sK4)
| spl11_6 ),
inference(superposition,[],[f214,f127]) ).
fof(f267,plain,
( ~ nat_succeeds(sK5)
| sP9(sK4)
| spl11_6
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f260,f250]) ).
fof(f268,plain,
( sP9(sK4)
| spl11_6
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f267,f157]) ).
fof(f269,plain,
( ~ nat_succeeds(sK4)
| sP10
| spl11_6
| ~ spl11_11 ),
inference(resolution,[],[f268,f129]) ).
fof(f270,plain,
( sP10
| spl11_6
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f269,f158]) ).
fof(f271,plain,
( $false
| spl11_1
| spl11_6
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f270,f164]) ).
fof(f272,plain,
( spl11_1
| spl11_6
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f271]) ).
cnf(s1,plain,
( ~ spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f169]) ).
cnf(s2,plain,
( spl11_2
| spl11_3 ),
inference(sat_conversion,[],[f174]) ).
cnf(s3,plain,
( spl11_2
| spl11_4 ),
inference(sat_conversion,[],[f179]) ).
cnf(s4,plain,
~ spl11_2,
inference(sat_conversion,[],[f187]) ).
cnf(s5,plain,
( ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6 ),
inference(sat_conversion,[],[f215]) ).
cnf(s7,plain,
( ~ spl11_4
| spl11_5 ),
inference(sat_conversion,[],[f236]) ).
cnf(s8,plain,
( ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_10
| spl11_11 ),
inference(sat_conversion,[],[f251]) ).
cnf(s9,plain,
spl11_9,
inference(sat_conversion,[],[f255]) ).
cnf(s10,plain,
( ~ spl11_4
| spl11_10 ),
inference(sat_conversion,[],[f259]) ).
cnf(s11,plain,
( spl11_1
| spl11_6
| ~ spl11_11 ),
inference(sat_conversion,[],[f272]) ).
cnf(s12,plain,
( ~ spl11_3
| ~ spl11_4
| ~ spl11_10
| spl11_11 ),
inference(rat,[],[s8,s9]) ).
cnf(s13,plain,
spl11_4,
inference(rat,[],[s3,s4]) ).
cnf(s14,plain,
spl11_10,
inference(rat,[],[s10,s13]) ).
cnf(s15,plain,
spl11_5,
inference(rat,[],[s7,s13]) ).
cnf(s16,plain,
spl11_3,
inference(rat,[],[s2,s4]) ).
cnf(s17,plain,
spl11_11,
inference(rat,[],[s12,s13,s14,s16]) ).
cnf(s18,plain,
~ spl11_6,
inference(rat,[],[s5,s13,s15,s16]) ).
cnf(s19,plain,
spl11_1,
inference(rat,[],[s11,s17,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s4,s19]) ).
fof(f273,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX036+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n002.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 14:55:22 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/1.07 % (413122)Detected formulas, will run a generic FOF schedule.
% 3.22/1.07 % (413129)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=3319776685:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.22/1.07 % (413128)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=646833992:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.22/1.07 % (413131)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3818673651:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.22/1.07 % (413130)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3673665694:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.22/1.07 % (413127)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=1793271678:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.22/1.07 % (413133)dis-21_1_sil=8000:lcm=predicate:random_seed=401373891: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)
% 3.22/1.07 % (413132)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=158589135:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.22/1.07 % (413130)First to succeed.
% 3.22/1.07 % (413130)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-413122"
% 3.22/1.07 % (413131)Instruction limit reached!
% 3.22/1.07 % (413131)------------------------------
% 3.22/1.07 % (413131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.07 % (413131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.07 % (413131)CaDiCaL version: 2.1.3
% 3.22/1.07 % (413131)Termination reason: Instruction limit
% 3.22/1.07 % (413131)Termination phase: Saturation
% 3.22/1.07 % (413131)Time elapsed: 0.072 s
% 3.22/1.07 % (413131)Peak memory usage: 88 MB
% 3.22/1.07 % (413131)Instructions burned: 119 (million)
% 3.22/1.07 % (413133)Instruction limit reached!
% 3.22/1.07 % (413133)------------------------------
% 3.22/1.07 % (413133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.07 % (413133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.07 % (413133)CaDiCaL version: 2.1.3
% 3.22/1.07 % (413133)Termination reason: Instruction limit
% 3.22/1.07 % (413133)Termination phase: Saturation
% 3.22/1.07 % (413133)Time elapsed: 0.082 s
% 3.22/1.07 % (413133)Peak memory usage: 89 MB
% 3.22/1.07 % (413133)Instructions burned: 131 (million)
% 3.22/1.07 % (413132)Instruction limit reached!
% 3.22/1.07 % (413132)------------------------------
% 3.22/1.07 % (413132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.07 % (413132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.07 % (413132)CaDiCaL version: 2.1.3
% 3.22/1.07 % (413132)Termination reason: Instruction limit
% 3.22/1.07 % (413132)Termination phase: Saturation
% 3.22/1.07 % (413132)Time elapsed: 0.097 s
% 3.22/1.07 % (413132)Peak memory usage: 90 MB
% 3.22/1.07 % (413132)Instructions burned: 140 (million)
% 3.22/1.07 % (413141)lrs+10_1_sil=8000:sp=occurrence:random_seed=1320728172:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.22/1.07 % (413142)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2223378537:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.22/1.07 % (413143)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2306483696:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.22/1.07 % (413130)Refutation found. Thanks to Tanya!
% 3.22/1.07 % SZS status Theorem for theBenchmark
% 3.22/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.17 % (413130)------------------------------
% 3.59/1.17 % (413130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.17 % (413130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.17 % (413130)CaDiCaL version: 2.1.3
% 3.59/1.17 % (413130)Termination reason: Refutation
% 3.59/1.17 % (413130)Time elapsed: 0.008 s
% 3.59/1.17 % (413130)Peak memory usage: 89 MB
% 3.59/1.17 % (413130)Instructions burned: 10 (million)
% 3.59/1.17 % (413130)------------------------------
% 3.59/1.17 % (413130)------------------------------
% 3.59/1.17 % (413122)Success in time 0.434 s
% 3.59/1.17 % Vampire exiting
%------------------------------------------------------------------------------