%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX038+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 : n018.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 01:45:44 PM UTC 2026
% Result : Theorem 15.27s 2.65s
% Output : Refutation 15.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 34
% Syntax : Number of formulae : 236 ( 31 unt; 23 def)
% Number of atoms : 753 ( 170 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 897 ( 380 ~; 429 |; 43 &)
% ( 24 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 24 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 135 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( nat_succeeds(X0)
<=> ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1) )
| X0 = '0' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id27) ).
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(f50,axiom,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@+'(X0,s(X1)) = '@+'(s(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:successor)') ).
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(f66,axiom,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2] :
( nat_succeeds(X2)
=> '@+'('@*'(X1,X2),X1) = '@*'(X1,s(X2)) ) )
| X0 = '0' )
=> ! [X2] :
( nat_succeeds(X2)
=> '@+'('@*'(X0,X2),X0) = '@*'(X0,s(X2)) ) )
=> ! [X0] :
( nat_succeeds(X0)
=> ! [X2] :
( nat_succeeds(X2)
=> '@+'('@*'(X0,X2),X0) = '@*'(X0,s(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
fof(f67,conjecture,
! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(times:successor)') ).
fof(f68,negated_conjecture,
~ ! [X0,X1] :
( ( nat_succeeds(X0)
& nat_succeeds(X1) )
=> '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1)) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f78,plain,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2] :
( nat_succeeds(X2)
=> '@+'('@*'(X1,X2),X1) = '@*'(X1,s(X2)) ) )
| X0 = '0' )
=> ! [X3] :
( nat_succeeds(X3)
=> '@+'('@*'(X0,X3),X0) = '@*'(X0,s(X3)) ) )
=> ! [X4] :
( nat_succeeds(X4)
=> ! [X5] :
( nat_succeeds(X5)
=> '@+'('@*'(X4,X5),X4) = '@*'(X4,s(X5)) ) ) ),
inference(rectify,[],[f66]) ).
fof(f116,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f117,plain,
! [X0,X1] :
( nat_succeeds('@+'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f118,plain,
! [X0,X1] :
( nat_succeeds('@+'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0,X1,X2] :
( '@+'('@+'(X0,X1),X2) = '@+'(X0,'@+'(X1,X2))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f120,plain,
! [X0,X1,X2] :
( '@+'('@+'(X0,X1),X2) = '@+'(X0,'@+'(X1,X2))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
inference(flattening,[],[f119]) ).
fof(f122,plain,
! [X0,X1] :
( '@+'(X0,s(X1)) = '@+'(s(X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f123,plain,
! [X0,X1] :
( '@+'(X0,s(X1)) = '@+'(s(X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f122]) ).
fof(f140,plain,
! [X0] :
( '@*'('0',X0) = '0'
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f141,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f142,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f144,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(flattening,[],[f143]) ).
fof(f150,plain,
( ! [X4] :
( ! [X5] :
( '@+'('@*'(X4,X5),X4) = '@*'(X4,s(X5))
| ~ nat_succeeds(X5) )
| ~ nat_succeeds(X4) )
| ? [X0] :
( ? [X3] :
( '@+'('@*'(X0,X3),X0) != '@*'(X0,s(X3))
& nat_succeeds(X3) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2] :
( '@+'('@*'(X1,X2),X1) = '@*'(X1,s(X2))
| ~ nat_succeeds(X2) ) )
| X0 = '0' ) ) ),
inference(ennf_transformation,[],[f78]) ).
fof(f151,plain,
? [X0,X1] :
( '@+'('@*'(X0,X1),X0) != '@*'(X0,s(X1))
& nat_succeeds(X0)
& nat_succeeds(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f152,plain,
? [X0,X1] :
( '@+'('@*'(X0,X1),X0) != '@*'(X0,s(X1))
& nat_succeeds(X0)
& nat_succeeds(X1) ),
inference(flattening,[],[f151]) ).
fof(f198,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f199,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ? [X2] :
( s(X2) = X0
& nat_succeeds(X2) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(rectify,[],[f199]) ).
fof(f201,plain,
! [X0] :
( ( nat_succeeds(X0)
| ( ! [X1] :
( s(X1) != X0
| ~ nat_succeeds(X1) )
& '0' != X0 ) )
& ( ( s(sK26(X0)) = X0
& nat_succeeds(sK26(X0)) )
| X0 = '0'
| ~ nat_succeeds(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0))],[f200]) ).
fof(f213,plain,
( ! [X0] :
( ! [X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1) )
| ~ nat_succeeds(X0) )
| ? [X2] :
( ? [X3] :
( '@+'('@*'(X2,X3),X2) != '@*'(X2,s(X3))
& nat_succeeds(X3) )
& ( ? [X4] :
( s(X4) = X2
& nat_succeeds(X4)
& ! [X5] :
( '@+'('@*'(X4,X5),X4) = '@*'(X4,s(X5))
| ~ nat_succeeds(X5) ) )
| '0' = X2 ) ) ),
inference(rectify,[],[f150]) ).
fof(f214,plain,
( ! [X0] :
( ! [X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1) )
| ~ nat_succeeds(X0) )
| ( '@+'('@*'(sK31,sK32),sK31) != '@*'(sK31,s(sK32))
& nat_succeeds(sK32)
& ( ( sK31 = s(sK33)
& nat_succeeds(sK33)
& ! [X5] :
( '@+'('@*'(sK33,X5),sK33) = '@*'(sK33,s(X5))
| ~ nat_succeeds(X5) ) )
| '0' = sK31 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33]),skolemize(X2,sK31),skolemize(X3,sK32),skolemize(X4,sK33)],[f213]) ).
fof(f215,plain,
( '@+'('@*'(sK34,sK35),sK34) != '@*'(sK34,s(sK35))
& nat_succeeds(sK34)
& nat_succeeds(sK35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f152]) ).
fof(f309,plain,
! [X0,X1] :
( nat_succeeds(X0)
| s(X1) != X0
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f334,plain,
! [X0] : '@+'('0',X0) = X0,
inference(cnf_transformation,[],[f45]) ).
fof(f335,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f336,plain,
! [X0,X1] :
( nat_succeeds('@+'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f337,plain,
! [X2,X0,X1] :
( '@+'('@+'(X0,X1),X2) = '@+'(X0,'@+'(X1,X2))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f339,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = '@+'(X0,s(X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f349,plain,
! [X0] :
( '0' = '@*'('0',X0)
| ~ nat_succeeds(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f350,plain,
! [X0,X1] :
( '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f351,plain,
! [X0,X1] :
( nat_succeeds('@*'(X0,X1))
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f355,plain,
! [X0,X1,X5] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@+'('@*'(sK33,X5),sK33) = '@*'(sK33,s(X5))
| ~ nat_succeeds(X5)
| '0' = sK31 ),
inference(cnf_transformation,[],[f214]) ).
fof(f356,plain,
! [X0,X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds(sK33)
| '0' = sK31 ),
inference(cnf_transformation,[],[f214]) ).
fof(f357,plain,
! [X0,X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| sK31 = s(sK33)
| '0' = sK31 ),
inference(cnf_transformation,[],[f214]) ).
fof(f358,plain,
! [X0,X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| nat_succeeds(sK32) ),
inference(cnf_transformation,[],[f214]) ).
fof(f359,plain,
! [X0,X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '@+'('@*'(sK31,sK32),sK31) != '@*'(sK31,s(sK32)) ),
inference(cnf_transformation,[],[f214]) ).
fof(f360,plain,
nat_succeeds(sK35),
inference(cnf_transformation,[],[f215]) ).
fof(f361,plain,
nat_succeeds(sK34),
inference(cnf_transformation,[],[f215]) ).
fof(f362,plain,
'@+'('@*'(sK34,sK35),sK34) != '@*'(sK34,s(sK35)),
inference(cnf_transformation,[],[f215]) ).
fof(f399,plain,
! [X1] :
( nat_succeeds(s(X1))
| ~ nat_succeeds(X1) ),
inference(equality_resolution,[],[f309]) ).
fof(f408,plain,
! [X5] :
( '@+'('@*'(sK33,X5),sK33) = '@*'(sK33,s(X5))
| ~ nat_succeeds(X5)
| sP37 ),
inference(cnf_transformation,[],[f408_D]) ).
fof(f408_D,definition,
( ! [X5] :
( '@+'('@*'(sK33,X5),sK33) = '@*'(sK33,s(X5))
| ~ nat_succeeds(X5) )
<=> ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[general_splitting_component_introduction]) ).
fof(f409,plain,
! [X0,X1] :
( '@+'('@*'(X0,X1),X0) = '@*'(X0,s(X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0)
| '0' = sK31
| ~ sP37 ),
inference(general_splitting,[],[f355,f408_D]) ).
fof(f411,definition,
( spl38_1
<=> nat_succeeds(sK34) ),
introduced(definition,[new_symbols(definition,[spl38_1])],[avatar_definition]) ).
fof(f413,plain,
( nat_succeeds(sK34)
| ~ spl38_1 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
spl38_1,
inference(avatar_split_clause,[],[f361,f411]) ).
fof(f474,definition,
( spl38_2
<=> '@+'('@*'(sK34,sK35),sK34) = '@*'(sK34,s(sK35)) ),
introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition]) ).
fof(f476,plain,
( '@+'('@*'(sK34,sK35),sK34) != '@*'(sK34,s(sK35))
| spl38_2 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
~ spl38_2,
inference(avatar_split_clause,[],[f362,f474]) ).
fof(f479,plain,
( '@*'(sK34,s(sK35)) != '@*'(sK34,s(sK35))
| ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| nat_succeeds(sK33)
| '0' = sK31
| spl38_2 ),
inference(superposition,[],[f476,f356]) ).
fof(f480,plain,
( '@*'(sK34,s(sK35)) != '@*'(sK34,s(sK35))
| ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| sK31 = s(sK33)
| '0' = sK31
| spl38_2 ),
inference(superposition,[],[f476,f357]) ).
fof(f481,plain,
( '@*'(sK34,s(sK35)) != '@*'(sK34,s(sK35))
| ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| nat_succeeds(sK32)
| spl38_2 ),
inference(superposition,[],[f476,f358]) ).
fof(f482,plain,
( '@*'(sK34,s(sK35)) != '@*'(sK34,s(sK35))
| ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| '@+'('@*'(sK31,sK32),sK31) != '@*'(sK31,s(sK32))
| spl38_2 ),
inference(superposition,[],[f476,f359]) ).
fof(f483,plain,
( '@*'(sK34,s(sK35)) != '@*'(sK34,s(sK35))
| ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| '0' = sK31
| ~ sP37
| spl38_2 ),
inference(superposition,[],[f476,f409]) ).
fof(f487,plain,
( ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| '0' = sK31
| ~ sP37
| spl38_2 ),
inference(trivial_inequality_removal,[],[f483]) ).
fof(f488,plain,
( ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| '@+'('@*'(sK31,sK32),sK31) != '@*'(sK31,s(sK32))
| spl38_2 ),
inference(trivial_inequality_removal,[],[f482]) ).
fof(f489,plain,
( ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| nat_succeeds(sK32)
| spl38_2 ),
inference(trivial_inequality_removal,[],[f481]) ).
fof(f490,plain,
( ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| sK31 = s(sK33)
| '0' = sK31
| spl38_2 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f491,plain,
( ~ nat_succeeds(sK35)
| ~ nat_succeeds(sK34)
| nat_succeeds(sK33)
| '0' = sK31
| spl38_2 ),
inference(trivial_inequality_removal,[],[f479]) ).
fof(f495,plain,
( ~ nat_succeeds(sK34)
| '0' = sK31
| ~ sP37
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f487,f360]) ).
fof(f496,plain,
( ~ nat_succeeds(sK34)
| '@+'('@*'(sK31,sK32),sK31) != '@*'(sK31,s(sK32))
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f488,f360]) ).
fof(f497,plain,
( ~ nat_succeeds(sK34)
| nat_succeeds(sK32)
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f489,f360]) ).
fof(f498,plain,
( ~ nat_succeeds(sK34)
| sK31 = s(sK33)
| '0' = sK31
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f490,f360]) ).
fof(f499,plain,
( ~ nat_succeeds(sK34)
| nat_succeeds(sK33)
| '0' = sK31
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f491,f360]) ).
fof(f501,plain,
( '0' = sK31
| ~ sP37
| ~ spl38_1
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f495,f413]) ).
fof(f502,plain,
( '@+'('@*'(sK31,sK32),sK31) != '@*'(sK31,s(sK32))
| ~ spl38_1
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f496,f413]) ).
fof(f503,plain,
( nat_succeeds(sK32)
| ~ spl38_1
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f497,f413]) ).
fof(f504,plain,
( sK31 = s(sK33)
| '0' = sK31
| ~ spl38_1
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f498,f413]) ).
fof(f505,plain,
( nat_succeeds(sK33)
| '0' = sK31
| ~ spl38_1
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f499,f413]) ).
fof(f571,definition,
( spl38_4
<=> nat_succeeds(sK32) ),
introduced(definition,[new_symbols(definition,[spl38_4])],[avatar_definition]) ).
fof(f573,plain,
( nat_succeeds(sK32)
| ~ spl38_4 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( spl38_4
| ~ spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f503,f474,f411,f571]) ).
fof(f588,plain,
( ! [X0] : '@+'(s(sK32),X0) = s('@+'(sK32,X0))
| ~ spl38_4 ),
inference(resolution,[],[f573,f335]) ).
fof(f605,plain,
( '0' = '@*'('0',sK32)
| ~ spl38_4 ),
inference(resolution,[],[f573,f349]) ).
fof(f609,plain,
( ! [X0] :
( nat_succeeds('@*'(X0,sK32))
| ~ nat_succeeds(X0) )
| ~ spl38_4 ),
inference(resolution,[],[f573,f351]) ).
fof(f625,plain,
( nat_succeeds(s(sK32))
| ~ spl38_4 ),
inference(resolution,[],[f573,f399]) ).
fof(f629,plain,
( '@+'('@*'(sK33,sK32),sK33) = '@*'(sK33,s(sK32))
| sP37
| ~ spl38_4 ),
inference(resolution,[],[f573,f408]) ).
fof(f634,definition,
( spl38_5
<=> '@+'('@*'(sK31,sK32),sK31) = '@*'(sK31,s(sK32)) ),
introduced(definition,[new_symbols(definition,[spl38_5])],[avatar_definition]) ).
fof(f636,plain,
( '@+'('@*'(sK31,sK32),sK31) != '@*'(sK31,s(sK32))
| spl38_5 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,plain,
( ~ spl38_5
| ~ spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f502,f474,f411,f634]) ).
fof(f666,definition,
( spl38_6
<=> '0' = sK31 ),
introduced(definition,[new_symbols(definition,[spl38_6])],[avatar_definition]) ).
fof(f667,plain,
( '0' != sK31
| spl38_6 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f668,plain,
( '0' = sK31
| ~ spl38_6 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f670,definition,
( spl38_7
<=> nat_succeeds(sK33) ),
introduced(definition,[new_symbols(definition,[spl38_7])],[avatar_definition]) ).
fof(f672,plain,
( nat_succeeds(sK33)
| ~ spl38_7 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f673,plain,
( spl38_6
| spl38_7
| ~ spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f505,f474,f411,f670,f666]) ).
fof(f738,definition,
( spl38_9
<=> nat_succeeds(sK31) ),
introduced(definition,[new_symbols(definition,[spl38_9])],[avatar_definition]) ).
fof(f739,plain,
( nat_succeeds(sK31)
| ~ spl38_9 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f740,plain,
( ~ nat_succeeds(sK31)
| spl38_9 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f761,plain,
( '@+'('@*'('0',sK32),'0') != '@*'('0',s(sK32))
| spl38_5
| ~ spl38_6 ),
inference(superposition,[],[f636,f668]) ).
fof(f764,plain,
( '@*'('0',s(sK32)) != '@+'('0','0')
| ~ spl38_4
| spl38_5
| ~ spl38_6 ),
inference(forward_demodulation,[],[f761,f605]) ).
fof(f766,plain,
( '0' != '@*'('0',s(sK32))
| ~ spl38_4
| spl38_5
| ~ spl38_6 ),
inference(forward_demodulation,[],[f764,f334]) ).
fof(f837,definition,
( spl38_14
<=> sK31 = s(sK33) ),
introduced(definition,[new_symbols(definition,[spl38_14])],[avatar_definition]) ).
fof(f839,plain,
( sK31 = s(sK33)
| ~ spl38_14 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f840,plain,
( spl38_6
| spl38_14
| ~ spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f504,f474,f411,f837,f666]) ).
fof(f966,definition,
( spl38_16
<=> ! [X0] : '@+'(s(sK32),X0) = s('@+'(sK32,X0)) ),
introduced(definition,[new_symbols(definition,[spl38_16])],[avatar_definition]) ).
fof(f967,plain,
( ! [X0] : '@+'(s(sK32),X0) = s('@+'(sK32,X0))
| ~ spl38_16 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f968,plain,
( spl38_16
| ~ spl38_4 ),
inference(avatar_split_clause,[],[f588,f571,f966]) ).
fof(f975,plain,
( ! [X0] :
( s('@+'(sK32,X0)) = '@+'(sK32,s(X0))
| ~ nat_succeeds(sK32)
| ~ nat_succeeds(X0) )
| ~ spl38_16 ),
inference(superposition,[],[f339,f967]) ).
fof(f996,plain,
( ! [X0] :
( s('@+'(sK32,X0)) = '@+'(sK32,s(X0))
| ~ nat_succeeds(X0) )
| ~ spl38_4
| ~ spl38_16 ),
inference(forward_subsumption_resolution,[],[f975,f573]) ).
fof(f1136,definition,
( spl38_20
<=> '0' = '@*'('0',s(sK32)) ),
introduced(definition,[new_symbols(definition,[spl38_20])],[avatar_definition]) ).
fof(f1138,plain,
( '0' != '@*'('0',s(sK32))
| spl38_20 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1139,plain,
( ~ spl38_20
| ~ spl38_4
| spl38_5
| ~ spl38_6 ),
inference(avatar_split_clause,[],[f766,f666,f634,f571,f1136]) ).
fof(f1505,definition,
( spl38_27
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl38_27])],[avatar_definition]) ).
fof(f1507,plain,
( sP37
| ~ spl38_27 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1509,definition,
( spl38_28
<=> '@+'('@*'(sK33,sK32),sK33) = '@*'(sK33,s(sK32)) ),
introduced(definition,[new_symbols(definition,[spl38_28])],[avatar_definition]) ).
fof(f1511,plain,
( '@+'('@*'(sK33,sK32),sK33) = '@*'(sK33,s(sK32))
| ~ spl38_28 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1512,plain,
( spl38_27
| spl38_28
| ~ spl38_4 ),
inference(avatar_split_clause,[],[f629,f571,f1509,f1505]) ).
fof(f1514,plain,
( '0' = sK31
| ~ spl38_1
| spl38_2
| ~ spl38_27 ),
inference(backward_subsumption_resolution,[],[f501,f1507]) ).
fof(f1828,plain,
( '0' != '0'
| ~ nat_succeeds(s(sK32))
| spl38_20 ),
inference(superposition,[],[f1138,f349]) ).
fof(f1830,plain,
( ~ nat_succeeds(s(sK32))
| spl38_20 ),
inference(trivial_inequality_removal,[],[f1828]) ).
fof(f1832,plain,
( $false
| ~ spl38_4
| spl38_20 ),
inference(forward_subsumption_resolution,[],[f1830,f625]) ).
fof(f1833,plain,
( ~ spl38_4
| spl38_20 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1852,plain,
( $false
| ~ spl38_1
| spl38_2
| spl38_6
| ~ spl38_27 ),
inference(forward_subsumption_resolution,[],[f1514,f667]) ).
fof(f1853,plain,
( ~ spl38_1
| spl38_2
| spl38_6
| ~ spl38_27 ),
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1896,plain,
( nat_succeeds('@*'(sK33,s(sK32)))
| ~ nat_succeeds('@*'(sK33,sK32))
| ~ nat_succeeds(sK33)
| ~ spl38_28 ),
inference(superposition,[],[f336,f1511]) ).
fof(f1906,plain,
( nat_succeeds('@*'(sK33,s(sK32)))
| ~ nat_succeeds(sK33)
| ~ spl38_4
| ~ spl38_28 ),
inference(forward_subsumption_resolution,[],[f1896,f609]) ).
fof(f1914,plain,
( nat_succeeds('@*'(sK33,s(sK32)))
| ~ spl38_4
| ~ spl38_7
| ~ spl38_28 ),
inference(forward_subsumption_resolution,[],[f1906,f672]) ).
fof(f1947,plain,
( nat_succeeds(sK31)
| ~ nat_succeeds(sK33)
| ~ spl38_14 ),
inference(superposition,[],[f399,f839]) ).
fof(f2062,plain,
( ! [X0] :
( '@+'(s(X0),sK33) = '@+'(X0,s(sK33))
| ~ nat_succeeds(X0) )
| ~ spl38_7 ),
inference(resolution,[],[f672,f339]) ).
fof(f2072,plain,
( ! [X0] :
( '@*'(s(sK33),X0) = '@+'(X0,'@*'(sK33,X0))
| ~ nat_succeeds(X0) )
| ~ spl38_7 ),
inference(resolution,[],[f672,f350]) ).
fof(f2074,plain,
( ! [X0] :
( nat_succeeds('@*'(sK33,X0))
| ~ nat_succeeds(X0) )
| ~ spl38_7 ),
inference(resolution,[],[f672,f351]) ).
fof(f2092,plain,
( ! [X0] :
( '@+'(X0,'@*'(sK33,X0)) = '@*'(sK31,X0)
| ~ nat_succeeds(X0) )
| ~ spl38_7
| ~ spl38_14 ),
inference(forward_demodulation,[],[f2072,f839]) ).
fof(f2093,plain,
( ! [X0] :
( '@+'(X0,sK31) = '@+'(s(X0),sK33)
| ~ nat_succeeds(X0) )
| ~ spl38_7
| ~ spl38_14 ),
inference(forward_demodulation,[],[f2062,f839]) ).
fof(f2098,definition,
( spl38_36
<=> ! [X0] :
( '@+'(X0,'@*'(sK33,X0)) = '@*'(sK31,X0)
| ~ nat_succeeds(X0) ) ),
introduced(definition,[new_symbols(definition,[spl38_36])],[avatar_definition]) ).
fof(f2099,plain,
( ! [X0] :
( '@+'(X0,'@*'(sK33,X0)) = '@*'(sK31,X0)
| ~ nat_succeeds(X0) )
| ~ spl38_36 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2100,plain,
( spl38_36
| ~ spl38_7
| ~ spl38_14 ),
inference(avatar_split_clause,[],[f2092,f837,f670,f2098]) ).
fof(f2118,plain,
( ! [X0,X1] :
( '@+'(X0,'@+'('@*'(sK33,X0),X1)) = '@+'('@*'(sK31,X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds('@*'(sK33,X0))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X0) )
| ~ spl38_36 ),
inference(superposition,[],[f337,f2099]) ).
fof(f2126,plain,
( '@*'(sK31,s(sK32)) = s('@+'(sK32,'@*'(sK33,s(sK32))))
| ~ nat_succeeds(s(sK32))
| ~ spl38_16
| ~ spl38_36 ),
inference(superposition,[],[f967,f2099]) ).
fof(f2135,plain,
( ! [X0,X1] :
( '@+'(X0,'@+'('@*'(sK33,X0),X1)) = '@+'('@*'(sK31,X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds('@*'(sK33,X0))
| ~ nat_succeeds(X1) )
| ~ spl38_36 ),
inference(duplicate_literal_removal,[],[f2118]) ).
fof(f2147,plain,
( '@*'(sK31,s(sK32)) = s('@+'(sK32,'@*'(sK33,s(sK32))))
| ~ spl38_4
| ~ spl38_16
| ~ spl38_36 ),
inference(forward_subsumption_resolution,[],[f2126,f625]) ).
fof(f2152,plain,
( ! [X0,X1] :
( '@+'(X0,'@+'('@*'(sK33,X0),X1)) = '@+'('@*'(sK31,X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) )
| ~ spl38_7
| ~ spl38_36 ),
inference(forward_subsumption_resolution,[],[f2135,f2074]) ).
fof(f2542,definition,
( spl38_43
<=> nat_succeeds('@*'(sK33,sK32)) ),
introduced(definition,[new_symbols(definition,[spl38_43])],[avatar_definition]) ).
fof(f2543,plain,
( nat_succeeds('@*'(sK33,sK32))
| ~ spl38_43 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2544,plain,
( ~ nat_succeeds('@*'(sK33,sK32))
| spl38_43 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2909,definition,
( spl38_52
<=> '@*'(sK31,s(sK32)) = s('@+'(sK32,'@*'(sK33,s(sK32)))) ),
introduced(definition,[new_symbols(definition,[spl38_52])],[avatar_definition]) ).
fof(f2911,plain,
( '@*'(sK31,s(sK32)) = s('@+'(sK32,'@*'(sK33,s(sK32))))
| ~ spl38_52 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f2912,plain,
( spl38_52
| ~ spl38_4
| ~ spl38_16
| ~ spl38_36 ),
inference(avatar_split_clause,[],[f2147,f2098,f966,f571,f2909]) ).
fof(f3053,definition,
( spl38_56
<=> nat_succeeds('@*'(sK33,s(sK32))) ),
introduced(definition,[new_symbols(definition,[spl38_56])],[avatar_definition]) ).
fof(f3055,plain,
( nat_succeeds('@*'(sK33,s(sK32)))
| ~ spl38_56 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f3056,plain,
( spl38_56
| ~ spl38_4
| ~ spl38_7
| ~ spl38_28 ),
inference(avatar_split_clause,[],[f1914,f1509,f670,f571,f3053]) ).
fof(f3248,definition,
( spl38_60
<=> ! [X0,X1] :
( '@+'(X0,'@+'('@*'(sK33,X0),X1)) = '@+'('@*'(sK31,X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) ) ),
introduced(definition,[new_symbols(definition,[spl38_60])],[avatar_definition]) ).
fof(f3249,plain,
( ! [X0,X1] :
( '@+'(X0,'@+'('@*'(sK33,X0),X1)) = '@+'('@*'(sK31,X0),X1)
| ~ nat_succeeds(X0)
| ~ nat_succeeds(X1) )
| ~ spl38_60 ),
inference(avatar_component_clause,[],[f3248]) ).
fof(f3250,plain,
( spl38_60
| ~ spl38_7
| ~ spl38_36 ),
inference(avatar_split_clause,[],[f2152,f2098,f670,f3248]) ).
fof(f4085,plain,
( ~ nat_succeeds(sK33)
| spl38_9
| ~ spl38_14 ),
inference(forward_subsumption_resolution,[],[f1947,f740]) ).
fof(f4090,plain,
( $false
| ~ spl38_7
| spl38_9
| ~ spl38_14 ),
inference(forward_subsumption_resolution,[],[f4085,f672]) ).
fof(f4091,plain,
( ~ spl38_7
| spl38_9
| ~ spl38_14 ),
inference(avatar_contradiction_clause,[],[f4090]) ).
fof(f4668,plain,
( ~ nat_succeeds(sK33)
| ~ nat_succeeds(sK32)
| spl38_43 ),
inference(resolution,[],[f2544,f351]) ).
fof(f4680,plain,
( ~ nat_succeeds(sK32)
| ~ spl38_7
| spl38_43 ),
inference(forward_subsumption_resolution,[],[f4668,f672]) ).
fof(f4682,plain,
( $false
| ~ spl38_4
| ~ spl38_7
| spl38_43 ),
inference(forward_subsumption_resolution,[],[f4680,f573]) ).
fof(f4683,plain,
( ~ spl38_4
| ~ spl38_7
| spl38_43 ),
inference(avatar_contradiction_clause,[],[f4682]) ).
fof(f4724,plain,
( ! [X0] : '@+'(s('@*'(sK33,sK32)),X0) = s('@+'('@*'(sK33,sK32),X0))
| ~ spl38_43 ),
inference(resolution,[],[f2543,f335]) ).
fof(f4876,definition,
( spl38_86
<=> ! [X0] : '@+'(s('@*'(sK33,sK32)),X0) = s('@+'('@*'(sK33,sK32),X0)) ),
introduced(definition,[new_symbols(definition,[spl38_86])],[avatar_definition]) ).
fof(f4877,plain,
( ! [X0] : '@+'(s('@*'(sK33,sK32)),X0) = s('@+'('@*'(sK33,sK32),X0))
| ~ spl38_86 ),
inference(avatar_component_clause,[],[f4876]) ).
fof(f4878,plain,
( spl38_86
| ~ spl38_43 ),
inference(avatar_split_clause,[],[f4724,f2542,f4876]) ).
fof(f5026,definition,
( spl38_87
<=> ! [X0] :
( '@+'(X0,sK31) = '@+'(s(X0),sK33)
| ~ nat_succeeds(X0) ) ),
introduced(definition,[new_symbols(definition,[spl38_87])],[avatar_definition]) ).
fof(f5027,plain,
( ! [X0] :
( '@+'(X0,sK31) = '@+'(s(X0),sK33)
| ~ nat_succeeds(X0) )
| ~ spl38_87 ),
inference(avatar_component_clause,[],[f5026]) ).
fof(f5028,plain,
( spl38_87
| ~ spl38_7
| ~ spl38_14 ),
inference(avatar_split_clause,[],[f2093,f837,f670,f5026]) ).
fof(f5085,plain,
( '@+'('@*'(sK33,sK32),sK31) = s('@+'('@*'(sK33,sK32),sK33))
| ~ nat_succeeds('@*'(sK33,sK32))
| ~ spl38_86
| ~ spl38_87 ),
inference(superposition,[],[f4877,f5027]) ).
fof(f5111,plain,
( '@+'('@*'(sK33,sK32),sK31) = s('@+'('@*'(sK33,sK32),sK33))
| ~ spl38_43
| ~ spl38_86
| ~ spl38_87 ),
inference(forward_subsumption_resolution,[],[f5085,f2543]) ).
fof(f5122,plain,
( s('@*'(sK33,s(sK32))) = '@+'('@*'(sK33,sK32),sK31)
| ~ spl38_28
| ~ spl38_43
| ~ spl38_86
| ~ spl38_87 ),
inference(forward_demodulation,[],[f5111,f1511]) ).
fof(f5200,definition,
( spl38_90
<=> s('@*'(sK33,s(sK32))) = '@+'('@*'(sK33,sK32),sK31) ),
introduced(definition,[new_symbols(definition,[spl38_90])],[avatar_definition]) ).
fof(f5202,plain,
( s('@*'(sK33,s(sK32))) = '@+'('@*'(sK33,sK32),sK31)
| ~ spl38_90 ),
inference(avatar_component_clause,[],[f5200]) ).
fof(f5203,plain,
( spl38_90
| ~ spl38_28
| ~ spl38_43
| ~ spl38_86
| ~ spl38_87 ),
inference(avatar_split_clause,[],[f5122,f5026,f4876,f2542,f1509,f5200]) ).
fof(f5210,plain,
( '@+'('@*'(sK31,sK32),sK31) = '@+'(sK32,s('@*'(sK33,s(sK32))))
| ~ nat_succeeds(sK32)
| ~ nat_succeeds(sK31)
| ~ spl38_60
| ~ spl38_90 ),
inference(superposition,[],[f3249,f5202]) ).
fof(f5224,plain,
( '@+'('@*'(sK31,sK32),sK31) = '@+'(sK32,s('@*'(sK33,s(sK32))))
| ~ nat_succeeds(sK31)
| ~ spl38_4
| ~ spl38_60
| ~ spl38_90 ),
inference(forward_subsumption_resolution,[],[f5210,f573]) ).
fof(f5228,plain,
( '@+'('@*'(sK31,sK32),sK31) = '@+'(sK32,s('@*'(sK33,s(sK32))))
| ~ spl38_4
| ~ spl38_9
| ~ spl38_60
| ~ spl38_90 ),
inference(forward_subsumption_resolution,[],[f5224,f739]) ).
fof(f5905,definition,
( spl38_103
<=> '@+'('@*'(sK31,sK32),sK31) = '@+'(sK32,s('@*'(sK33,s(sK32)))) ),
introduced(definition,[new_symbols(definition,[spl38_103])],[avatar_definition]) ).
fof(f5907,plain,
( '@+'('@*'(sK31,sK32),sK31) = '@+'(sK32,s('@*'(sK33,s(sK32))))
| ~ spl38_103 ),
inference(avatar_component_clause,[],[f5905]) ).
fof(f5908,plain,
( spl38_103
| ~ spl38_4
| ~ spl38_9
| ~ spl38_60
| ~ spl38_90 ),
inference(avatar_split_clause,[],[f5228,f5200,f3248,f738,f571,f5905]) ).
fof(f11811,definition,
( spl38_185
<=> ! [X0] :
( s('@+'(sK32,X0)) = '@+'(sK32,s(X0))
| ~ nat_succeeds(X0) ) ),
introduced(definition,[new_symbols(definition,[spl38_185])],[avatar_definition]) ).
fof(f11812,plain,
( ! [X0] :
( s('@+'(sK32,X0)) = '@+'(sK32,s(X0))
| ~ nat_succeeds(X0) )
| ~ spl38_185 ),
inference(avatar_component_clause,[],[f11811]) ).
fof(f11813,plain,
( spl38_185
| ~ spl38_4
| ~ spl38_16 ),
inference(avatar_split_clause,[],[f996,f966,f571,f11811]) ).
fof(f11867,plain,
( '@+'('@*'(sK31,sK32),sK31) = s('@+'(sK32,'@*'(sK33,s(sK32))))
| ~ nat_succeeds('@*'(sK33,s(sK32)))
| ~ spl38_103
| ~ spl38_185 ),
inference(superposition,[],[f11812,f5907]) ).
fof(f11886,plain,
( '@+'('@*'(sK31,sK32),sK31) = s('@+'(sK32,'@*'(sK33,s(sK32))))
| ~ spl38_56
| ~ spl38_103
| ~ spl38_185 ),
inference(forward_subsumption_resolution,[],[f11867,f3055]) ).
fof(f11895,plain,
( '@+'('@*'(sK31,sK32),sK31) = '@*'(sK31,s(sK32))
| ~ spl38_52
| ~ spl38_56
| ~ spl38_103
| ~ spl38_185 ),
inference(forward_demodulation,[],[f11886,f2911]) ).
fof(f11900,plain,
( $false
| spl38_5
| ~ spl38_52
| ~ spl38_56
| ~ spl38_103
| ~ spl38_185 ),
inference(forward_subsumption_resolution,[],[f11895,f636]) ).
fof(f11901,plain,
( spl38_5
| ~ spl38_52
| ~ spl38_56
| ~ spl38_103
| ~ spl38_185 ),
inference(avatar_contradiction_clause,[],[f11900]) ).
cnf(s1,plain,
spl38_1,
inference(sat_conversion,[],[f414]) ).
cnf(s2,plain,
~ spl38_2,
inference(sat_conversion,[],[f477]) ).
cnf(s4,plain,
( ~ spl38_1
| spl38_2
| spl38_4 ),
inference(sat_conversion,[],[f574]) ).
cnf(s5,plain,
( ~ spl38_1
| spl38_2
| ~ spl38_5 ),
inference(sat_conversion,[],[f637]) ).
cnf(s6,plain,
( ~ spl38_1
| spl38_2
| spl38_6
| spl38_7 ),
inference(sat_conversion,[],[f673]) ).
cnf(s12,plain,
( ~ spl38_1
| spl38_2
| spl38_6
| spl38_14 ),
inference(sat_conversion,[],[f840]) ).
cnf(s14,plain,
( ~ spl38_4
| spl38_16 ),
inference(sat_conversion,[],[f968]) ).
cnf(s18,plain,
( ~ spl38_4
| spl38_5
| ~ spl38_6
| ~ spl38_20 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s28,plain,
( ~ spl38_4
| spl38_27
| spl38_28 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s34,plain,
( ~ spl38_4
| spl38_20 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s35,plain,
( ~ spl38_1
| spl38_2
| spl38_6
| ~ spl38_27 ),
inference(sat_conversion,[],[f1853]) ).
cnf(s38,plain,
( ~ spl38_7
| ~ spl38_14
| spl38_36 ),
inference(sat_conversion,[],[f2100]) ).
cnf(s54,plain,
( ~ spl38_4
| ~ spl38_16
| ~ spl38_36
| spl38_52 ),
inference(sat_conversion,[],[f2912]) ).
cnf(s58,plain,
( ~ spl38_4
| ~ spl38_7
| ~ spl38_28
| spl38_56 ),
inference(sat_conversion,[],[f3056]) ).
cnf(s62,plain,
( ~ spl38_7
| ~ spl38_36
| spl38_60 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s77,plain,
( ~ spl38_7
| spl38_9
| ~ spl38_14 ),
inference(sat_conversion,[],[f4091]) ).
cnf(s90,plain,
( ~ spl38_4
| ~ spl38_7
| spl38_43 ),
inference(sat_conversion,[],[f4683]) ).
cnf(s92,plain,
( ~ spl38_43
| spl38_86 ),
inference(sat_conversion,[],[f4878]) ).
cnf(s93,plain,
( ~ spl38_7
| ~ spl38_14
| spl38_87 ),
inference(sat_conversion,[],[f5028]) ).
cnf(s96,plain,
( ~ spl38_28
| ~ spl38_43
| ~ spl38_86
| ~ spl38_87
| spl38_90 ),
inference(sat_conversion,[],[f5203]) ).
cnf(s109,plain,
( ~ spl38_4
| ~ spl38_9
| ~ spl38_60
| ~ spl38_90
| spl38_103 ),
inference(sat_conversion,[],[f5908]) ).
cnf(s195,plain,
( ~ spl38_4
| ~ spl38_16
| spl38_185 ),
inference(sat_conversion,[],[f11813]) ).
cnf(s197,plain,
( spl38_5
| ~ spl38_52
| ~ spl38_56
| ~ spl38_103
| ~ spl38_185 ),
inference(sat_conversion,[],[f11901]) ).
cnf(s217,plain,
~ spl38_5,
inference(rat,[],[s5,s2,s1]) ).
cnf(s218,plain,
spl38_4,
inference(rat,[],[s4,s2,s1]) ).
cnf(s228,plain,
spl38_20,
inference(rat,[],[s34,s218]) ).
cnf(s231,plain,
~ spl38_6,
inference(rat,[],[s18,s228,s217,s218]) ).
cnf(s233,plain,
spl38_16,
inference(rat,[],[s14,s218]) ).
cnf(s237,plain,
~ spl38_27,
inference(rat,[],[s35,s1,s2,s231]) ).
cnf(s238,plain,
spl38_14,
inference(rat,[],[s12,s1,s2,s231]) ).
cnf(s239,plain,
spl38_7,
inference(rat,[],[s6,s1,s2,s231]) ).
cnf(s240,plain,
spl38_185,
inference(rat,[],[s195,s218,s233]) ).
cnf(s251,plain,
spl38_28,
inference(rat,[],[s28,s218,s237]) ).
cnf(s256,plain,
spl38_87,
inference(rat,[],[s93,s238,s239]) ).
cnf(s257,plain,
spl38_43,
inference(rat,[],[s90,s218,s239]) ).
cnf(s259,plain,
spl38_9,
inference(rat,[],[s77,s238,s239]) ).
cnf(s261,plain,
spl38_36,
inference(rat,[],[s38,s238,s239]) ).
cnf(s274,plain,
spl38_56,
inference(rat,[],[s58,s239,s218,s251]) ).
cnf(s284,plain,
spl38_86,
inference(rat,[],[s92,s257]) ).
cnf(s294,plain,
spl38_60,
inference(rat,[],[s62,s239,s261]) ).
cnf(s295,plain,
spl38_52,
inference(rat,[],[s54,s233,s218,s261]) ).
cnf(s331,plain,
spl38_90,
inference(rat,[],[s96,s257,s256,s251,s284]) ).
cnf(s342,plain,
~ spl38_103,
inference(rat,[],[s197,s240,s274,s217,s295]) ).
cnf(s354,plain,
$false,
inference(rat,[],[s109,s294,s259,s218,s342,s331]) ).
fof(f11903,plain,
$false,
inference(avatar_sat_refutation,[],[s354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX038+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:54:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 15.27/2.65 % (3458857)Detected formulas, will run a generic FOF schedule.
% 15.27/2.65 % (3458915)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=3801662701:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.27/2.65 % (3458913)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=2754107313:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.27/2.65 % (3458914)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=342349767:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.27/2.65 % (3458918)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=533448520:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.27/2.65 % (3458919)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=20413135:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.27/2.65 % (3458920)dis-21_1_sil=8000:lcm=predicate:random_seed=2952752923: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)
% 15.27/2.65 % (3458916)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3410317628:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.27/2.65 % (3458916)Refutation not found, incomplete strategy
% 15.27/2.65 % (3458916)------------------------------
% 15.27/2.65 % (3458916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3458916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3458916)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3458916)Termination reason: Refutation not found, incomplete strategy
% 15.27/2.65 % (3458916)Time elapsed: 0.002 s
% 15.27/2.65 % (3458916)Peak memory usage: 89 MB
% 15.27/2.65 % (3458916)Instructions burned: 4 (million)
% 15.27/2.65 % (3458918)Instruction limit reached!
% 15.27/2.65 % (3458918)------------------------------
% 15.27/2.65 % (3458918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3458918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3458918)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3458918)Termination reason: Instruction limit
% 15.27/2.65 % (3458918)Termination phase: Saturation
% 15.27/2.65 % (3458918)Time elapsed: 0.074 s
% 15.27/2.65 % (3458918)Peak memory usage: 88 MB
% 15.27/2.65 % (3458918)Instructions burned: 120 (million)
% 15.27/2.65 % (3458919)Instruction limit reached!
% 15.27/2.65 % (3458919)------------------------------
% 15.27/2.65 % (3458919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3458919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3458919)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3458919)Termination reason: Instruction limit
% 15.27/2.65 % (3458919)Termination phase: Saturation
% 15.27/2.65 % (3458919)Time elapsed: 0.095 s
% 15.27/2.65 % (3458919)Peak memory usage: 90 MB
% 15.27/2.65 % (3458919)Instructions burned: 140 (million)
% 15.27/2.65 % (3458920)Instruction limit reached!
% 15.27/2.65 % (3458920)------------------------------
% 15.27/2.65 % (3458920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3458920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3458920)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3458920)Termination reason: Instruction limit
% 15.27/2.65 % (3458920)Termination phase: Saturation
% 15.27/2.65 % (3458920)Time elapsed: 0.099 s
% 15.27/2.65 % (3458920)Peak memory usage: 89 MB
% 15.27/2.65 % (3458920)Instructions burned: 130 (million)
% 15.27/2.65 % (3458916)------------------------------
% 15.27/2.65 % (3458916)------------------------------
% 15.27/2.65 % (3458979)lrs+10_1_sil=8000:sp=occurrence:random_seed=1262633889:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.27/2.65 % (3458985)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1482610660:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.27/2.65 % (3458984)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3659918675:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.27/2.65 % (3459001)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=282411580:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.27/2.65 % (3458984)Instruction limit reached!
% 15.27/2.65 % (3458984)------------------------------
% 15.27/2.65 % (3458984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3458984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3458984)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3458984)Termination reason: Instruction limit
% 15.27/2.65 % (3458984)Termination phase: Saturation
% 15.27/2.65 % (3458984)Time elapsed: 0.076 s
% 15.27/2.65 % (3458984)Peak memory usage: 93 MB
% 15.27/2.65 % (3458984)Instructions burned: 159 (million)
% 15.27/2.65 % (3458979)Instruction limit reached!
% 15.27/2.65 % (3458979)------------------------------
% 15.27/2.65 % (3458979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3458979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3458979)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3458979)Termination reason: Instruction limit
% 15.27/2.65 % (3458979)Termination phase: Saturation
% 15.27/2.65 % (3458979)Time elapsed: 0.169 s
% 15.27/2.65 % (3458979)Peak memory usage: 92 MB
% 15.27/2.65 % (3458979)Instructions burned: 286 (million)
% 15.27/2.65 % (3459001)Instruction limit reached!
% 15.27/2.65 % (3459001)------------------------------
% 15.27/2.65 % (3459001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459001)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459001)Termination reason: Instruction limit
% 15.27/2.65 % (3459001)Termination phase: Saturation
% 15.27/2.65 % (3459001)Time elapsed: 0.144 s
% 15.27/2.65 % (3459001)Peak memory usage: 94 MB
% 15.27/2.65 % (3459001)Instructions burned: 249 (million)
% 15.27/2.65 % (3458985)Instruction limit reached!
% 15.27/2.65 % (3458985)------------------------------
% 15.27/2.65 % (3458985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3458985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3458985)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3458985)Termination reason: Instruction limit
% 15.27/2.65 % (3458985)Termination phase: Saturation
% 15.27/2.65 % (3458985)Time elapsed: 0.213 s
% 15.27/2.65 % (3458985)Peak memory usage: 92 MB
% 15.27/2.65 % (3458985)Instructions burned: 325 (million)
% 15.27/2.65 % (3459011)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=63040459:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 15.27/2.65 % (3459012)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3726475434:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.27/2.65 % (3459013)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1075867745:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 15.27/2.65 % (3459014)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1406408448:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.27/2.65 % (3459013)Instruction limit reached!
% 15.27/2.65 % (3459013)------------------------------
% 15.27/2.65 % (3459013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459013)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459013)Termination reason: Instruction limit
% 15.27/2.65 % (3459013)Termination phase: Saturation
% 15.27/2.65 % (3459013)Time elapsed: 0.113 s
% 15.27/2.65 % (3459013)Peak memory usage: 90 MB
% 15.27/2.65 % (3459013)Instructions burned: 114 (million)
% 15.27/2.65 % (3459011)Instruction limit reached!
% 15.27/2.65 % (3459011)------------------------------
% 15.27/2.65 % (3459011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459011)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459011)Termination reason: Instruction limit
% 15.27/2.65 % (3459011)Termination phase: Saturation
% 15.27/2.65 % (3459011)Time elapsed: 0.298 s
% 15.27/2.65 % (3459011)Peak memory usage: 90 MB
% 15.27/2.65 % (3459011)Instructions burned: 296 (million)
% 15.27/2.65 % (3459014)Instruction limit reached!
% 15.27/2.65 % (3459014)------------------------------
% 15.27/2.65 % (3459014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459014)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459014)Termination reason: Instruction limit
% 15.27/2.65 % (3459014)Termination phase: Saturation
% 15.27/2.65 % (3459014)Time elapsed: 0.108 s
% 15.27/2.65 % (3459014)Peak memory usage: 88 MB
% 15.27/2.65 % (3459014)Instructions burned: 127 (million)
% 15.27/2.65 % (3459038)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1055721405:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 15.27/2.65 % (3459040)lrs+10_1_sil=8000:sp=occurrence:random_seed=2397478827:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 15.27/2.65 % (3459041)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2396125418:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 15.27/2.65 % (3459038)Instruction limit reached!
% 15.27/2.65 % (3459038)------------------------------
% 15.27/2.65 % (3459038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459038)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459038)Termination reason: Instruction limit
% 15.27/2.65 % (3459038)Termination phase: Saturation
% 15.27/2.65 % (3459038)Time elapsed: 0.105 s
% 15.27/2.65 % (3459038)Peak memory usage: 89 MB
% 15.27/2.65 % (3459038)Instructions burned: 114 (million)
% 15.27/2.65 % (3459051)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3892365634:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 15.27/2.65 % (3459041)Instruction limit reached!
% 15.27/2.65 % (3459041)------------------------------
% 15.27/2.65 % (3459041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459041)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459041)Termination reason: Instruction limit
% 15.27/2.65 % (3459041)Termination phase: Saturation
% 15.27/2.65 % (3459041)Time elapsed: 0.417 s
% 15.27/2.65 % (3459041)Peak memory usage: 92 MB
% 15.27/2.65 % (3459041)Instructions burned: 437 (million)
% 15.27/2.65 % (3458915)First to succeed.
% 15.27/2.65 % (3458915)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3458857"
% 15.27/2.65 % (3459059)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2296536911:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 15.27/2.65 % (3459059)Instruction limit reached!
% 15.27/2.65 % (3459059)------------------------------
% 15.27/2.65 % (3459059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459059)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459059)Termination reason: Instruction limit
% 15.27/2.65 % (3459059)Termination phase: Saturation
% 15.27/2.65 % (3459059)Time elapsed: 0.102 s
% 15.27/2.65 % (3459059)Peak memory usage: 91 MB
% 15.27/2.65 % (3459059)Instructions burned: 135 (million)
% 15.27/2.65 % (3459040)Instruction limit reached!
% 15.27/2.65 % (3459040)------------------------------
% 15.27/2.65 % (3459040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/2.65 % (3459040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (3459040)CaDiCaL version: 2.1.3
% 15.27/2.65 % (3459040)Termination reason: Instruction limit
% 15.27/2.65 % (3459040)Termination phase: Saturation
% 15.27/2.65 % (3459040)Time elapsed: 0.840 s
% 15.27/2.65 % (3459040)Peak memory usage: 97 MB
% 15.27/2.65 % (3459040)Instructions burned: 907 (million)
% 15.27/2.65 % (3458915)Refutation found. Thanks to Tanya!
% 15.27/2.65 % SZS status Theorem for theBenchmark
% 15.27/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 15.74/2.78 % (3458915)------------------------------
% 15.74/2.78 % (3458915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/2.78 % (3458915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/2.78 % (3458915)CaDiCaL version: 2.1.3
% 15.74/2.78 % (3458915)Termination reason: Refutation
% 15.74/2.78 % (3458915)Time elapsed: 1.747 s
% 15.74/2.78 % (3458915)Peak memory usage: 152 MB
% 15.74/2.78 % (3458915)Instructions burned: 3205 (million)
% 15.74/2.78 % (3458915)------------------------------
% 15.74/2.78 % (3458915)------------------------------
% 15.74/2.78 % (3458857)Success in time 2.195 s
% 15.74/2.78 % Vampire exiting
%------------------------------------------------------------------------------