%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX045+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 : n010.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 01:45:45 PM UTC 2026
% Result : Theorem 10.57s 2.17s
% Output : Refutation 11.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 110 ( 19 unt; 9 def)
% Number of atoms : 374 ( 86 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 440 ( 176 ~; 196 |; 42 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 112 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : '0' != s(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id1) ).
fof(f2,axiom,
! [X0,X1] :
( s(X0) = s(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id2) ).
fof(f21,axiom,
! [X0,X1] :
( '@=<_succeeds'(X0,X1)
<=> ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@=<_succeeds'(X2,X3) )
| X0 = '0' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id21) ).
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(f113,axiom,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@=<_succeeds'('@+'(X1,X2),'@+'(X1,X3))
=> '@=<_succeeds'(X2,X3) ) )
| X0 = '0' )
=> ! [X2,X3] :
( '@=<_succeeds'('@+'(X0,X2),'@+'(X0,X3))
=> '@=<_succeeds'(X2,X3) ) )
=> ! [X0] :
( nat_succeeds(X0)
=> ! [X2,X3] :
( '@=<_succeeds'('@+'(X0,X2),'@+'(X0,X3))
=> '@=<_succeeds'(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
fof(f114,conjecture,
! [X0,X1,X2] :
( ( nat_succeeds(X0)
& '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) )
=> '@=<_succeeds'(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(leq:plus:inverse)') ).
fof(f115,negated_conjecture,
~ ! [X0,X1,X2] :
( ( nat_succeeds(X0)
& '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) )
=> '@=<_succeeds'(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f125,plain,
( ! [X0] :
( ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@=<_succeeds'('@+'(X1,X2),'@+'(X1,X3))
=> '@=<_succeeds'(X2,X3) ) )
| X0 = '0' )
=> ! [X4,X5] :
( '@=<_succeeds'('@+'(X0,X4),'@+'(X0,X5))
=> '@=<_succeeds'(X4,X5) ) )
=> ! [X6] :
( nat_succeeds(X6)
=> ! [X7,X8] :
( '@=<_succeeds'('@+'(X6,X7),'@+'(X6,X8))
=> '@=<_succeeds'(X7,X8) ) ) ),
inference(rectify,[],[f113]) ).
fof(f126,plain,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f163,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f268,plain,
( ! [X6] :
( ! [X7,X8] :
( '@=<_succeeds'(X7,X8)
| ~ '@=<_succeeds'('@+'(X6,X7),'@+'(X6,X8)) )
| ~ nat_succeeds(X6) )
| ? [X0] :
( ? [X4,X5] :
( ~ '@=<_succeeds'(X4,X5)
& '@=<_succeeds'('@+'(X0,X4),'@+'(X0,X5)) )
& ( ? [X1] :
( X0 = s(X1)
& nat_succeeds(X1)
& ! [X2,X3] :
( '@=<_succeeds'(X2,X3)
| ~ '@=<_succeeds'('@+'(X1,X2),'@+'(X1,X3)) ) )
| X0 = '0' ) ) ),
inference(ennf_transformation,[],[f125]) ).
fof(f269,plain,
? [X0,X1,X2] :
( ~ '@=<_succeeds'(X1,X2)
& nat_succeeds(X0)
& '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) ),
inference(ennf_transformation,[],[f115]) ).
fof(f270,plain,
? [X0,X1,X2] :
( ~ '@=<_succeeds'(X1,X2)
& nat_succeeds(X0)
& '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) ),
inference(flattening,[],[f269]) ).
fof(f294,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@=<_succeeds'(X2,X3) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f295,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@=<_succeeds'(X2,X3) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(flattening,[],[f294]) ).
fof(f296,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ? [X4,X5] :
( s(X4) = X0
& s(X5) = X1
& '@=<_succeeds'(X4,X5) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(rectify,[],[f295]) ).
fof(f297,plain,
! [X0,X1] :
( ( '@=<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@=<_succeeds'(X2,X3) )
& '0' != X0 ) )
& ( ( s(sK12(X0,X1)) = X0
& s(sK13(X0,X1)) = X1
& '@=<_succeeds'(sK12(X0,X1),sK13(X0,X1)) )
| X0 = '0'
| ~ '@=<_succeeds'(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f296]) ).
fof(f336,plain,
( ! [X0] :
( ! [X1,X2] :
( '@=<_succeeds'(X1,X2)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) )
| ~ nat_succeeds(X0) )
| ? [X3] :
( ? [X4,X5] :
( ~ '@=<_succeeds'(X4,X5)
& '@=<_succeeds'('@+'(X3,X4),'@+'(X3,X5)) )
& ( ? [X6] :
( s(X6) = X3
& nat_succeeds(X6)
& ! [X7,X8] :
( '@=<_succeeds'(X7,X8)
| ~ '@=<_succeeds'('@+'(X6,X7),'@+'(X6,X8)) ) )
| '0' = X3 ) ) ),
inference(rectify,[],[f268]) ).
fof(f337,plain,
( ! [X0] :
( ! [X1,X2] :
( '@=<_succeeds'(X1,X2)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) )
| ~ nat_succeeds(X0) )
| ( ~ '@=<_succeeds'(sK37,sK38)
& '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
& ( ( sK36 = s(sK39)
& nat_succeeds(sK39)
& ! [X7,X8] :
( '@=<_succeeds'(X7,X8)
| ~ '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8)) ) )
| '0' = sK36 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39]),skolemize(X3,sK36),skolemize(X4,sK37),skolemize(X5,sK38),skolemize(X6,sK39)],[f336]) ).
fof(f338,plain,
( ~ '@=<_succeeds'(sK41,sK42)
& nat_succeeds(sK40)
& '@=<_succeeds'('@+'(sK40,sK41),'@+'(sK40,sK42)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42]),skolemize(X0,sK40),skolemize(X1,sK41),skolemize(X2,sK42)],[f270]) ).
fof(f339,plain,
! [X0] : '0' != s(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f340,plain,
! [X0,X1] :
( s(X0) != s(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f126]) ).
fof(f395,plain,
! [X0,X1] :
( '@=<_succeeds'(sK12(X0,X1),sK13(X0,X1))
| '0' = X0
| ~ '@=<_succeeds'(X0,X1) ),
inference(cnf_transformation,[],[f297]) ).
fof(f396,plain,
! [X0,X1] :
( ~ '@=<_succeeds'(X0,X1)
| '0' = X0
| s(sK13(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f297]) ).
fof(f397,plain,
! [X0,X1] :
( ~ '@=<_succeeds'(X0,X1)
| '0' = X0
| s(sK12(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f297]) ).
fof(f457,plain,
! [X0] : '@+'('0',X0) = X0,
inference(cnf_transformation,[],[f45]) ).
fof(f458,plain,
! [X0,X1] :
( ~ nat_succeeds(X0)
| '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f525,plain,
! [X2,X0,X1,X8,X7] :
( '@=<_succeeds'(X1,X2)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| '@=<_succeeds'(X7,X8)
| ~ '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
| '0' = sK36 ),
inference(cnf_transformation,[],[f337]) ).
fof(f526,plain,
! [X2,X0,X1] :
( '@=<_succeeds'(X1,X2)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| nat_succeeds(sK39)
| '0' = sK36 ),
inference(cnf_transformation,[],[f337]) ).
fof(f527,plain,
! [X2,X0,X1] :
( '@=<_succeeds'(X1,X2)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| sK36 = s(sK39)
| '0' = sK36 ),
inference(cnf_transformation,[],[f337]) ).
fof(f528,plain,
! [X2,X0,X1] :
( '@=<_succeeds'(X1,X2)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38)) ),
inference(cnf_transformation,[],[f337]) ).
fof(f529,plain,
! [X2,X0,X1] :
( '@=<_succeeds'(X1,X2)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| ~ '@=<_succeeds'(sK37,sK38) ),
inference(cnf_transformation,[],[f337]) ).
fof(f530,plain,
'@=<_succeeds'('@+'(sK40,sK41),'@+'(sK40,sK42)),
inference(cnf_transformation,[],[f338]) ).
fof(f531,plain,
nat_succeeds(sK40),
inference(cnf_transformation,[],[f338]) ).
fof(f532,plain,
~ '@=<_succeeds'(sK41,sK42),
inference(cnf_transformation,[],[f338]) ).
fof(f577,definition,
( spl43_1
<=> '0' = sK36 ),
introduced(definition,[new_symbols(definition,[spl43_1])],[avatar_definition]) ).
fof(f578,plain,
( '0' = sK36
| ~ spl43_1 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f580,definition,
( spl43_2
<=> ! [X8,X7] :
( '@=<_succeeds'(X7,X8)
| ~ '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8)) ) ),
introduced(definition,[new_symbols(definition,[spl43_2])],[avatar_definition]) ).
fof(f581,plain,
( ! [X8,X7] :
( ~ '@=<_succeeds'('@+'(sK39,X7),'@+'(sK39,X8))
| '@=<_succeeds'(X7,X8) )
| ~ spl43_2 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,definition,
( spl43_3
<=> ! [X2,X0,X1] :
( '@=<_succeeds'(X1,X2)
| ~ nat_succeeds(X0)
| ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl43_3])],[avatar_definition]) ).
fof(f584,plain,
( ! [X2,X0,X1] :
( ~ '@=<_succeeds'('@+'(X0,X1),'@+'(X0,X2))
| ~ nat_succeeds(X0)
| '@=<_succeeds'(X1,X2) )
| ~ spl43_3 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f585,plain,
( spl43_1
| spl43_2
| spl43_3 ),
inference(avatar_split_clause,[],[f525,f583,f580,f577]) ).
fof(f587,definition,
( spl43_4
<=> nat_succeeds(sK39) ),
introduced(definition,[new_symbols(definition,[spl43_4])],[avatar_definition]) ).
fof(f588,plain,
( nat_succeeds(sK39)
| ~ spl43_4 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f589,plain,
( spl43_1
| spl43_4
| spl43_3 ),
inference(avatar_split_clause,[],[f526,f583,f587,f577]) ).
fof(f591,definition,
( spl43_5
<=> sK36 = s(sK39) ),
introduced(definition,[new_symbols(definition,[spl43_5])],[avatar_definition]) ).
fof(f592,plain,
( sK36 = s(sK39)
| ~ spl43_5 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( spl43_1
| spl43_5
| spl43_3 ),
inference(avatar_split_clause,[],[f527,f583,f591,f577]) ).
fof(f595,definition,
( spl43_6
<=> '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38)) ),
introduced(definition,[new_symbols(definition,[spl43_6])],[avatar_definition]) ).
fof(f596,plain,
( '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
| ~ spl43_6 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f597,plain,
( spl43_6
| spl43_3 ),
inference(avatar_split_clause,[],[f528,f583,f595]) ).
fof(f599,definition,
( spl43_7
<=> '@=<_succeeds'(sK37,sK38) ),
introduced(definition,[new_symbols(definition,[spl43_7])],[avatar_definition]) ).
fof(f600,plain,
( ~ '@=<_succeeds'(sK37,sK38)
| spl43_7 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f601,plain,
( ~ spl43_7
| spl43_3 ),
inference(avatar_split_clause,[],[f529,f583,f599]) ).
fof(f605,plain,
( ~ nat_succeeds(sK40)
| '@=<_succeeds'(sK41,sK42)
| ~ spl43_3 ),
inference(resolution,[],[f584,f530]) ).
fof(f607,plain,
( '@=<_succeeds'(sK41,sK42)
| ~ spl43_3 ),
inference(forward_subsumption_resolution,[],[f605,f531]) ).
fof(f608,plain,
( $false
| ~ spl43_3 ),
inference(forward_subsumption_resolution,[],[f607,f532]) ).
fof(f609,plain,
~ spl43_3,
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f646,plain,
( ! [X0] : '@+'(sK36,X0) = X0
| ~ spl43_1 ),
inference(superposition,[],[f457,f578]) ).
fof(f659,plain,
( '@=<_succeeds'(sK37,'@+'(sK36,sK38))
| ~ spl43_1
| ~ spl43_6 ),
inference(superposition,[],[f596,f646]) ).
fof(f679,plain,
( '@=<_succeeds'(sK37,sK38)
| ~ spl43_1
| ~ spl43_6 ),
inference(forward_demodulation,[],[f659,f646]) ).
fof(f682,plain,
( $false
| ~ spl43_1
| ~ spl43_6
| spl43_7 ),
inference(forward_subsumption_resolution,[],[f679,f600]) ).
fof(f683,plain,
( ~ spl43_1
| ~ spl43_6
| spl43_7 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f684,plain,
( ! [X0] : '@+'(s(sK39),X0) = s('@+'(sK39,X0))
| ~ spl43_4 ),
inference(resolution,[],[f588,f458]) ).
fof(f685,plain,
( ! [X0] : '@+'(sK36,X0) = s('@+'(sK39,X0))
| ~ spl43_4
| ~ spl43_5 ),
inference(forward_demodulation,[],[f684,f592]) ).
fof(f814,plain,
( ! [X0,X1] :
( s(X1) != '@+'(sK36,X0)
| '@+'(sK39,X0) = X1 )
| ~ spl43_4
| ~ spl43_5 ),
inference(superposition,[],[f340,f685]) ).
fof(f900,plain,
( '0' = '@+'(sK36,sK37)
| '@+'(sK36,sK37) = s(sK12('@+'(sK36,sK37),'@+'(sK36,sK38)))
| ~ spl43_6 ),
inference(resolution,[],[f397,f596]) ).
fof(f924,definition,
( spl43_43
<=> '@+'(sK36,sK37) = s(sK12('@+'(sK36,sK37),'@+'(sK36,sK38))) ),
introduced(definition,[new_symbols(definition,[spl43_43])],[avatar_definition]) ).
fof(f925,plain,
( '@+'(sK36,sK37) = s(sK12('@+'(sK36,sK37),'@+'(sK36,sK38)))
| ~ spl43_43 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,definition,
( spl43_44
<=> '0' = '@+'(sK36,sK37) ),
introduced(definition,[new_symbols(definition,[spl43_44])],[avatar_definition]) ).
fof(f928,plain,
( '0' = '@+'(sK36,sK37)
| ~ spl43_44 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f929,plain,
( spl43_43
| spl43_44
| ~ spl43_6 ),
inference(avatar_split_clause,[],[f900,f595,f927,f924]) ).
fof(f937,plain,
( ! [X0] :
( '@+'(sK36,sK37) != '@+'(sK36,X0)
| '@+'(sK39,X0) = sK12('@+'(sK36,sK37),'@+'(sK36,sK38)) )
| ~ spl43_4
| ~ spl43_5
| ~ spl43_43 ),
inference(superposition,[],[f814,f925]) ).
fof(f939,plain,
( '@+'(sK39,sK37) = sK12('@+'(sK36,sK37),'@+'(sK36,sK38))
| ~ spl43_4
| ~ spl43_5
| ~ spl43_43 ),
inference(equality_resolution,[],[f937]) ).
fof(f1208,plain,
( ! [X0] : '0' != '@+'(sK36,X0)
| ~ spl43_4
| ~ spl43_5 ),
inference(superposition,[],[f339,f685]) ).
fof(f1211,plain,
( '0' != '@+'(sK36,sK37)
| ~ spl43_43 ),
inference(superposition,[],[f339,f925]) ).
fof(f1220,plain,
( '0' = '@+'(sK36,sK37)
| '@+'(sK36,sK38) = s(sK13('@+'(sK36,sK37),'@+'(sK36,sK38)))
| ~ spl43_6 ),
inference(resolution,[],[f396,f596]) ).
fof(f1249,plain,
( '@+'(sK36,sK38) = s(sK13('@+'(sK36,sK37),'@+'(sK36,sK38)))
| ~ spl43_6
| ~ spl43_43 ),
inference(forward_subsumption_resolution,[],[f1220,f1211]) ).
fof(f1505,plain,
( ! [X0] :
( '@+'(sK36,sK38) != '@+'(sK36,X0)
| '@+'(sK39,X0) = sK13('@+'(sK36,sK37),'@+'(sK36,sK38)) )
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| ~ spl43_43 ),
inference(superposition,[],[f814,f1249]) ).
fof(f1705,plain,
( '@+'(sK39,sK38) = sK13('@+'(sK36,sK37),'@+'(sK36,sK38))
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| ~ spl43_43 ),
inference(equality_resolution,[],[f1505]) ).
fof(f4107,plain,
( $false
| ~ spl43_4
| ~ spl43_5
| ~ spl43_44 ),
inference(forward_subsumption_resolution,[],[f928,f1208]) ).
fof(f4108,plain,
( ~ spl43_4
| ~ spl43_5
| ~ spl43_44 ),
inference(avatar_contradiction_clause,[],[f4107]) ).
fof(f4837,plain,
( '@=<_succeeds'(sK12('@+'(sK36,sK37),'@+'(sK36,sK38)),'@+'(sK39,sK38))
| '0' = '@+'(sK36,sK37)
| ~ '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| ~ spl43_43 ),
inference(superposition,[],[f395,f1705]) ).
fof(f4838,plain,
( '@=<_succeeds'(sK12('@+'(sK36,sK37),'@+'(sK36,sK38)),'@+'(sK39,sK38))
| ~ '@=<_succeeds'('@+'(sK36,sK37),'@+'(sK36,sK38))
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| ~ spl43_43 ),
inference(forward_subsumption_resolution,[],[f4837,f1208]) ).
fof(f4840,plain,
( '@=<_succeeds'(sK12('@+'(sK36,sK37),'@+'(sK36,sK38)),'@+'(sK39,sK38))
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| ~ spl43_43 ),
inference(forward_subsumption_resolution,[],[f4838,f596]) ).
fof(f4842,plain,
( '@=<_succeeds'('@+'(sK39,sK37),'@+'(sK39,sK38))
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| ~ spl43_43 ),
inference(forward_demodulation,[],[f4840,f939]) ).
fof(f4848,plain,
( '@=<_succeeds'(sK37,sK38)
| ~ spl43_2
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| ~ spl43_43 ),
inference(resolution,[],[f4842,f581]) ).
fof(f4886,plain,
( $false
| ~ spl43_2
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| spl43_7
| ~ spl43_43 ),
inference(forward_subsumption_resolution,[],[f4848,f600]) ).
fof(f4887,plain,
( ~ spl43_2
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| spl43_7
| ~ spl43_43 ),
inference(avatar_contradiction_clause,[],[f4886]) ).
cnf(s1,plain,
( spl43_1
| spl43_2
| spl43_3 ),
inference(sat_conversion,[],[f585]) ).
cnf(s2,plain,
( spl43_1
| spl43_3
| spl43_4 ),
inference(sat_conversion,[],[f589]) ).
cnf(s3,plain,
( spl43_1
| spl43_3
| spl43_5 ),
inference(sat_conversion,[],[f593]) ).
cnf(s4,plain,
( spl43_3
| spl43_6 ),
inference(sat_conversion,[],[f597]) ).
cnf(s5,plain,
( spl43_3
| ~ spl43_7 ),
inference(sat_conversion,[],[f601]) ).
cnf(s7,plain,
~ spl43_3,
inference(sat_conversion,[],[f609]) ).
cnf(s15,plain,
( ~ spl43_1
| ~ spl43_6
| spl43_7 ),
inference(sat_conversion,[],[f683]) ).
cnf(s36,plain,
( ~ spl43_6
| spl43_43
| spl43_44 ),
inference(sat_conversion,[],[f929]) ).
cnf(s194,plain,
( ~ spl43_4
| ~ spl43_5
| ~ spl43_44 ),
inference(sat_conversion,[],[f4108]) ).
cnf(s236,plain,
( ~ spl43_2
| ~ spl43_4
| ~ spl43_5
| ~ spl43_6
| spl43_7
| ~ spl43_43 ),
inference(sat_conversion,[],[f4887]) ).
cnf(s242,plain,
~ spl43_7,
inference(rat,[],[s5,s7]) ).
cnf(s243,plain,
spl43_6,
inference(rat,[],[s4,s7]) ).
cnf(s245,plain,
~ spl43_1,
inference(rat,[],[s15,s242,s243]) ).
cnf(s248,plain,
spl43_5,
inference(rat,[],[s3,s7,s245]) ).
cnf(s249,plain,
spl43_4,
inference(rat,[],[s2,s7,s245]) ).
cnf(s251,plain,
~ spl43_44,
inference(rat,[],[s194,s248,s249]) ).
cnf(s265,plain,
spl43_43,
inference(rat,[],[s36,s243,s251]) ).
cnf(s271,plain,
~ spl43_2,
inference(rat,[],[s236,s249,s242,s243,s248,s265]) ).
cnf(s273,plain,
$false,
inference(rat,[],[s1,s7,s271,s245]) ).
fof(f4888,plain,
$false,
inference(avatar_sat_refutation,[],[s273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX045+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 : n010.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 14:56:14 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 10.57/2.17 % (1983693)Detected formulas, will run a generic FOF schedule.
% 10.57/2.17 % (1983702)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=381184718:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.57/2.17 % (1983704)dis-21_1_sil=8000:lcm=predicate:random_seed=1349696043: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)
% 10.57/2.17 % (1983701)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1764988003:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.57/2.17 % (1983698)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=3534149840:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.57/2.17 % (1983700)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=1451590272:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.57/2.17 % (1983703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2129034176:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.57/2.17 % (1983699)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=1058632272:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.57/2.17 % (1983702)Instruction limit reached!
% 10.57/2.17 % (1983702)------------------------------
% 10.57/2.17 % (1983702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983702)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983702)Termination reason: Instruction limit
% 10.57/2.17 % (1983702)Termination phase: Saturation
% 10.57/2.17 % (1983702)Time elapsed: 0.040 s
% 10.57/2.17 % (1983702)Peak memory usage: 89 MB
% 10.57/2.17 % (1983702)Instructions burned: 120 (million)
% 10.57/2.17 % (1983704)Instruction limit reached!
% 10.57/2.17 % (1983704)------------------------------
% 10.57/2.17 % (1983704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983704)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983704)Termination reason: Instruction limit
% 10.57/2.17 % (1983704)Termination phase: Saturation
% 10.57/2.17 % (1983704)Time elapsed: 0.057 s
% 10.57/2.17 % (1983704)Peak memory usage: 88 MB
% 10.57/2.17 % (1983704)Instructions burned: 130 (million)
% 10.57/2.17 % (1983701)Instruction limit reached!
% 10.57/2.17 % (1983701)------------------------------
% 10.57/2.17 % (1983701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983701)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983701)Termination reason: Instruction limit
% 10.57/2.17 % (1983701)Termination phase: Saturation
% 10.57/2.17 % (1983701)Time elapsed: 0.074 s
% 10.57/2.17 % (1983701)Peak memory usage: 89 MB
% 10.57/2.17 % (1983701)Instructions burned: 109 (million)
% 10.57/2.17 % (1983703)Instruction limit reached!
% 10.57/2.17 % (1983703)------------------------------
% 10.57/2.17 % (1983703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983703)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983703)Termination reason: Instruction limit
% 10.57/2.17 % (1983703)Termination phase: Saturation
% 10.57/2.17 % (1983703)Time elapsed: 0.101 s
% 10.57/2.17 % (1983703)Peak memory usage: 90 MB
% 10.57/2.17 % (1983703)Instructions burned: 139 (million)
% 10.57/2.17 % (1983712)lrs+10_1_sil=8000:sp=occurrence:random_seed=250385046:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.57/2.17 % (1983713)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2588033929:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.57/2.17 % (1983712)Instruction limit reached!
% 10.57/2.17 % (1983712)------------------------------
% 10.57/2.17 % (1983712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983712)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983712)Termination reason: Instruction limit
% 10.57/2.17 % (1983712)Termination phase: Saturation
% 10.57/2.17 % (1983712)Time elapsed: 0.104 s
% 10.57/2.17 % (1983712)Peak memory usage: 92 MB
% 10.57/2.17 % (1983712)Instructions burned: 287 (million)
% 10.57/2.17 % (1983714)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1370158093:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.57/2.17 % (1983715)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=4107550219:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.57/2.17 % (1983713)Instruction limit reached!
% 10.57/2.17 % (1983713)------------------------------
% 10.57/2.17 % (1983713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983713)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983713)Termination reason: Instruction limit
% 10.57/2.17 % (1983713)Termination phase: Saturation
% 10.57/2.17 % (1983713)Time elapsed: 0.075 s
% 10.57/2.17 % (1983713)Peak memory usage: 91 MB
% 10.57/2.17 % (1983713)Instructions burned: 157 (million)
% 10.57/2.17 % (1983719)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3056864711:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.57/2.17 % (1983715)Instruction limit reached!
% 10.57/2.17 % (1983715)------------------------------
% 10.57/2.17 % (1983715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983715)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983715)Termination reason: Instruction limit
% 10.57/2.17 % (1983715)Termination phase: Saturation
% 10.57/2.17 % (1983715)Time elapsed: 0.135 s
% 10.57/2.17 % (1983715)Peak memory usage: 94 MB
% 10.57/2.17 % (1983715)Instructions burned: 249 (million)
% 10.57/2.17 % (1983719)Instruction limit reached!
% 10.57/2.17 % (1983719)------------------------------
% 10.57/2.17 % (1983719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983719)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983719)Termination reason: Instruction limit
% 10.57/2.17 % (1983719)Termination phase: Saturation
% 10.57/2.17 % (1983719)Time elapsed: 0.094 s
% 10.57/2.17 % (1983719)Peak memory usage: 90 MB
% 10.57/2.17 % (1983719)Instructions burned: 297 (million)
% 10.57/2.17 % (1983721)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1331797692:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.57/2.17 % (1983714)Instruction limit reached!
% 10.57/2.17 % (1983714)------------------------------
% 10.57/2.17 % (1983714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983714)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983714)Termination reason: Instruction limit
% 10.57/2.17 % (1983714)Termination phase: Saturation
% 10.57/2.17 % (1983714)Time elapsed: 0.218 s
% 10.57/2.17 % (1983714)Peak memory usage: 92 MB
% 10.57/2.17 % (1983714)Instructions burned: 325 (million)
% 10.57/2.17 % (1983723)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2392680866:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.57/2.17 % (1983725)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=139917387:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.57/2.17 % (1983725)Instruction limit reached!
% 10.57/2.17 % (1983725)------------------------------
% 10.57/2.17 % (1983725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983725)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983725)Termination reason: Instruction limit
% 10.57/2.17 % (1983725)Termination phase: Saturation
% 10.57/2.17 % (1983725)Time elapsed: 0.036 s
% 10.57/2.17 % (1983725)Peak memory usage: 89 MB
% 10.57/2.17 % (1983725)Instructions burned: 130 (million)
% 10.57/2.17 % (1983726)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2013712685:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.57/2.17 % (1983723)Instruction limit reached!
% 10.57/2.17 % (1983723)------------------------------
% 10.57/2.17 % (1983723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983723)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983723)Termination reason: Instruction limit
% 10.57/2.17 % (1983723)Termination phase: Saturation
% 10.57/2.17 % (1983723)Time elapsed: 0.075 s
% 10.57/2.17 % (1983723)Peak memory usage: 90 MB
% 10.57/2.17 % (1983723)Instructions burned: 114 (million)
% 10.57/2.17 % (1983726)Instruction limit reached!
% 10.57/2.17 % (1983726)------------------------------
% 10.57/2.17 % (1983726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983726)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983726)Termination reason: Instruction limit
% 10.57/2.17 % (1983726)Termination phase: Saturation
% 10.57/2.17 % (1983726)Time elapsed: 0.072 s
% 10.57/2.17 % (1983726)Peak memory usage: 89 MB
% 10.57/2.17 % (1983726)Instructions burned: 114 (million)
% 10.57/2.17 % (1983729)lrs+10_1_sil=8000:sp=occurrence:random_seed=3980028571:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.57/2.17 % (1983731)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3886553385:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.57/2.17 % (1983732)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1622800641:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.57/2.17 % (1983729)Instruction limit reached!
% 10.57/2.17 % (1983729)------------------------------
% 10.57/2.17 % (1983729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983729)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983729)Termination reason: Instruction limit
% 10.57/2.17 % (1983729)Termination phase: Saturation
% 10.57/2.17 % (1983729)Time elapsed: 0.300 s
% 10.57/2.17 % (1983729)Peak memory usage: 97 MB
% 10.57/2.17 % (1983729)Instructions burned: 908 (million)
% 10.57/2.17 % (1983731)Instruction limit reached!
% 10.57/2.17 % (1983731)------------------------------
% 10.57/2.17 % (1983731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983731)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983731)Termination reason: Instruction limit
% 10.57/2.17 % (1983731)Termination phase: Saturation
% 10.57/2.17 % (1983731)Time elapsed: 0.272 s
% 10.57/2.17 % (1983731)Peak memory usage: 92 MB
% 10.57/2.17 % (1983731)Instructions burned: 438 (million)
% 10.57/2.17 % (1983699)First to succeed.
% 10.57/2.17 % (1983699)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1983693"
% 10.57/2.17 % (1983736)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4282587547:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.57/2.17 % (1983736)Instruction limit reached!
% 10.57/2.17 % (1983736)------------------------------
% 10.57/2.17 % (1983736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.17 % (1983736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.17 % (1983736)CaDiCaL version: 2.1.3
% 10.57/2.17 % (1983736)Termination reason: Instruction limit
% 10.57/2.17 % (1983736)Termination phase: Saturation
% 10.57/2.17 % (1983736)Time elapsed: 0.036 s
% 10.57/2.17 % (1983736)Peak memory usage: 91 MB
% 10.57/2.17 % (1983736)Instructions burned: 137 (million)
% 10.57/2.17 % (1983737)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1332497823:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 10.57/2.17 % (1983698)Also succeeded, but the first one will report.
% 10.57/2.17 % (1983739)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3808882811:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.57/2.17 % (1983699)Refutation found. Thanks to Tanya!
% 10.57/2.17 % SZS status Theorem for theBenchmark
% 10.57/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 11.13/2.37 % (1983699)------------------------------
% 11.13/2.37 % (1983699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.37 % (1983699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.37 % (1983699)CaDiCaL version: 2.1.3
% 11.13/2.37 % (1983699)Termination reason: Refutation
% 11.13/2.37 % (1983699)Time elapsed: 1.047 s
% 11.13/2.37 % (1983699)Peak memory usage: 134 MB
% 11.13/2.37 % (1983699)Instructions burned: 1568 (million)
% 11.13/2.37 % (1983699)------------------------------
% 11.13/2.37 % (1983699)------------------------------
% 11.13/2.37 % (1983693)Success in time 1.492 s
% 11.13/2.37 % Vampire exiting
%------------------------------------------------------------------------------