%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX041+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 10.84s 2.26s
% Output : Refutation 11.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 128 ( 17 unt; 9 def)
% Number of atoms : 475 ( 140 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 542 ( 195 ~; 246 |; 75 &)
% ( 11 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 181 ( 0 sgn 137 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : '0' != s(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id1) ).
fof(f2,axiom,
! [X0,X1] :
( s(X0) = s(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',id21) ).
fof(f24,axiom,
! [X0,X1] :
( '@<_succeeds'(X0,X1)
<=> ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3) )
| ? [X4] :
( X0 = '0'
& X1 = s(X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id24) ).
fof(f98,axiom,
( ! [X0,X1] :
( ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3)
& ! [X4] :
( '@=<_succeeds'(X3,X4)
=> '@<_succeeds'(X2,X4) ) )
| ? [X5] :
( X0 = '0'
& X1 = s(X5) ) )
=> ! [X4] :
( '@=<_succeeds'(X1,X4)
=> '@<_succeeds'(X0,X4) ) )
=> ! [X0,X1] :
( '@<_succeeds'(X0,X1)
=> ! [X4] :
( '@=<_succeeds'(X1,X4)
=> '@<_succeeds'(X0,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f99,conjecture,
! [X0,X1,X2] :
( ( '@<_succeeds'(X0,X1)
& '@=<_succeeds'(X1,X2) )
=> '@<_succeeds'(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(less:leq:transitive)') ).
fof(f100,negated_conjecture,
~ ! [X0,X1,X2] :
( ( '@<_succeeds'(X0,X1)
& '@=<_succeeds'(X1,X2) )
=> '@<_succeeds'(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f99]) ).
fof(f110,plain,
( ! [X0,X1] :
( ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3)
& ! [X4] :
( '@=<_succeeds'(X3,X4)
=> '@<_succeeds'(X2,X4) ) )
| ? [X5] :
( X0 = '0'
& X1 = s(X5) ) )
=> ! [X6] :
( '@=<_succeeds'(X1,X6)
=> '@<_succeeds'(X0,X6) ) )
=> ! [X7,X8] :
( '@<_succeeds'(X7,X8)
=> ! [X9] :
( '@=<_succeeds'(X8,X9)
=> '@<_succeeds'(X7,X9) ) ) ),
inference(rectify,[],[f98]) ).
fof(f111,plain,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f227,plain,
( ! [X7,X8] :
( ! [X9] :
( '@<_succeeds'(X7,X9)
| ~ '@=<_succeeds'(X8,X9) )
| ~ '@<_succeeds'(X7,X8) )
| ? [X0,X1] :
( ? [X6] :
( ~ '@<_succeeds'(X0,X6)
& '@=<_succeeds'(X1,X6) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3)
& ! [X4] :
( '@<_succeeds'(X2,X4)
| ~ '@=<_succeeds'(X3,X4) ) )
| ? [X5] :
( X0 = '0'
& X1 = s(X5) ) ) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f228,plain,
? [X0,X1,X2] :
( ~ '@<_succeeds'(X0,X2)
& '@<_succeeds'(X0,X1)
& '@=<_succeeds'(X1,X2) ),
inference(ennf_transformation,[],[f100]) ).
fof(f229,plain,
? [X0,X1,X2] :
( ~ '@<_succeeds'(X0,X2)
& '@<_succeeds'(X0,X1)
& '@=<_succeeds'(X1,X2) ),
inference(flattening,[],[f228]) ).
fof(f253,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(f254,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,[],[f253]) ).
fof(f255,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,[],[f254]) ).
fof(f256,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))],[f255]) ).
fof(f264,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3) )
| ? [X4] :
( X0 = '0'
& X1 = s(X4) )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f265,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ? [X2,X3] :
( X0 = s(X2)
& X1 = s(X3)
& '@<_succeeds'(X2,X3) )
| ? [X4] :
( X0 = '0'
& X1 = s(X4) )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(flattening,[],[f264]) ).
fof(f266,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ? [X5,X6] :
( s(X5) = X0
& s(X6) = X1
& '@<_succeeds'(X5,X6) )
| ? [X7] :
( X0 = '0'
& s(X7) = X1 )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(rectify,[],[f265]) ).
fof(f267,plain,
! [X0,X1] :
( ( '@<_succeeds'(X0,X1)
| ( ! [X2,X3] :
( s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) )
& ! [X4] :
( '0' != X0
| s(X4) != X1 ) ) )
& ( ( s(sK18(X0,X1)) = X0
& s(sK19(X0,X1)) = X1
& '@<_succeeds'(sK18(X0,X1),sK19(X0,X1)) )
| ( X0 = '0'
& s(sK20(X0,X1)) = X1 )
| ~ '@<_succeeds'(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X5,sK18(X0,X1)),skolemize(X6,sK19(X0,X1)),skolemize(X7,sK20(X0,X1))],[f266]) ).
fof(f295,plain,
( ! [X0,X1] :
( ! [X2] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2) )
| ~ '@<_succeeds'(X0,X1) )
| ? [X3,X4] :
( ? [X5] :
( ~ '@<_succeeds'(X3,X5)
& '@=<_succeeds'(X4,X5) )
& ( ? [X6,X7] :
( s(X6) = X3
& s(X7) = X4
& '@<_succeeds'(X6,X7)
& ! [X8] :
( '@<_succeeds'(X6,X8)
| ~ '@=<_succeeds'(X7,X8) ) )
| ? [X9] :
( '0' = X3
& s(X9) = X4 ) ) ) ),
inference(rectify,[],[f227]) ).
fof(f296,plain,
( ! [X0,X1] :
( ! [X2] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2) )
| ~ '@<_succeeds'(X0,X1) )
| ( ~ '@<_succeeds'(sK36,sK38)
& '@=<_succeeds'(sK37,sK38)
& ( ( sK36 = s(sK39)
& sK37 = s(sK40)
& '@<_succeeds'(sK39,sK40)
& ! [X8] :
( '@<_succeeds'(sK39,X8)
| ~ '@=<_succeeds'(sK40,X8) ) )
| ( '0' = sK36
& sK37 = s(sK41) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40,sK41]),skolemize(X3,sK36),skolemize(X4,sK37),skolemize(X5,sK38),skolemize(X6,sK39),skolemize(X7,sK40),skolemize(X9,sK41)],[f295]) ).
fof(f297,plain,
( ~ '@<_succeeds'(sK42,sK44)
& '@<_succeeds'(sK42,sK43)
& '@=<_succeeds'(sK43,sK44) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44]),skolemize(X0,sK42),skolemize(X1,sK43),skolemize(X2,sK44)],[f229]) ).
fof(f298,plain,
! [X0] : '0' != s(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f299,plain,
! [X0,X1] :
( s(X0) != s(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f354,plain,
! [X0,X1] :
( '@=<_succeeds'(sK12(X0,X1),sK13(X0,X1))
| '0' = X0
| ~ '@=<_succeeds'(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f355,plain,
! [X0,X1] :
( ~ '@=<_succeeds'(X0,X1)
| '0' = X0
| s(sK13(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f256]) ).
fof(f356,plain,
! [X0,X1] :
( ~ '@=<_succeeds'(X0,X1)
| '0' = X0
| s(sK12(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f256]) ).
fof(f374,plain,
! [X0,X1,X4] :
( '@<_succeeds'(X0,X1)
| '0' != X0
| s(X4) != X1 ),
inference(cnf_transformation,[],[f267]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( '@<_succeeds'(X0,X1)
| s(X2) != X0
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) ),
inference(cnf_transformation,[],[f267]) ).
fof(f469,plain,
! [X2,X0,X1,X8] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(sK39,X8)
| ~ '@=<_succeeds'(sK40,X8)
| sK37 = s(sK41) ),
inference(cnf_transformation,[],[f296]) ).
fof(f470,plain,
! [X2,X0,X1,X8] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(sK39,X8)
| ~ '@=<_succeeds'(sK40,X8)
| '0' = sK36 ),
inference(cnf_transformation,[],[f296]) ).
fof(f473,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| sK37 = s(sK40)
| sK37 = s(sK41) ),
inference(cnf_transformation,[],[f296]) ).
fof(f474,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| sK37 = s(sK40)
| '0' = sK36 ),
inference(cnf_transformation,[],[f296]) ).
fof(f475,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| sK36 = s(sK39)
| sK37 = s(sK41) ),
inference(cnf_transformation,[],[f296]) ).
fof(f476,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| sK36 = s(sK39)
| '0' = sK36 ),
inference(cnf_transformation,[],[f296]) ).
fof(f477,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| '@=<_succeeds'(sK37,sK38) ),
inference(cnf_transformation,[],[f296]) ).
fof(f478,plain,
! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X0,X1)
| ~ '@<_succeeds'(sK36,sK38) ),
inference(cnf_transformation,[],[f296]) ).
fof(f479,plain,
'@=<_succeeds'(sK43,sK44),
inference(cnf_transformation,[],[f297]) ).
fof(f480,plain,
'@<_succeeds'(sK42,sK43),
inference(cnf_transformation,[],[f297]) ).
fof(f481,plain,
~ '@<_succeeds'(sK42,sK44),
inference(cnf_transformation,[],[f297]) ).
fof(f508,plain,
! [X2,X3,X1] :
( '@<_succeeds'(s(X2),X1)
| s(X3) != X1
| ~ '@<_succeeds'(X2,X3) ),
inference(equality_resolution,[],[f375]) ).
fof(f509,plain,
! [X2,X3] :
( ~ '@<_succeeds'(X2,X3)
| '@<_succeeds'(s(X2),s(X3)) ),
inference(equality_resolution,[],[f508]) ).
fof(f510,plain,
! [X1,X4] :
( '@<_succeeds'('0',X1)
| s(X4) != X1 ),
inference(equality_resolution,[],[f374]) ).
fof(f511,plain,
! [X4] : '@<_succeeds'('0',s(X4)),
inference(equality_resolution,[],[f510]) ).
fof(f526,definition,
( spl45_1
<=> sK37 = s(sK41) ),
introduced(definition,[new_symbols(definition,[spl45_1])],[avatar_definition]) ).
fof(f527,plain,
( sK37 = s(sK41)
| ~ spl45_1 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,definition,
( spl45_2
<=> ! [X8] :
( '@<_succeeds'(sK39,X8)
| ~ '@=<_succeeds'(sK40,X8) ) ),
introduced(definition,[new_symbols(definition,[spl45_2])],[avatar_definition]) ).
fof(f530,plain,
( ! [X8] :
( ~ '@=<_succeeds'(sK40,X8)
| '@<_succeeds'(sK39,X8) )
| ~ spl45_2 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,definition,
( spl45_3
<=> ! [X2,X0,X1] :
( '@<_succeeds'(X0,X2)
| ~ '@<_succeeds'(X0,X1)
| ~ '@=<_succeeds'(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl45_3])],[avatar_definition]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( ~ '@<_succeeds'(X0,X1)
| '@<_succeeds'(X0,X2)
| ~ '@=<_succeeds'(X1,X2) )
| ~ spl45_3 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f534,plain,
( spl45_1
| spl45_2
| spl45_3 ),
inference(avatar_split_clause,[],[f469,f532,f529,f526]) ).
fof(f536,definition,
( spl45_4
<=> '0' = sK36 ),
introduced(definition,[new_symbols(definition,[spl45_4])],[avatar_definition]) ).
fof(f537,plain,
( '0' = sK36
| ~ spl45_4 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f538,plain,
( spl45_4
| spl45_2
| spl45_3 ),
inference(avatar_split_clause,[],[f470,f532,f529,f536]) ).
fof(f545,definition,
( spl45_6
<=> sK37 = s(sK40) ),
introduced(definition,[new_symbols(definition,[spl45_6])],[avatar_definition]) ).
fof(f546,plain,
( sK37 = s(sK40)
| ~ spl45_6 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f547,plain,
( spl45_1
| spl45_6
| spl45_3 ),
inference(avatar_split_clause,[],[f473,f532,f545,f526]) ).
fof(f548,plain,
( spl45_4
| spl45_6
| spl45_3 ),
inference(avatar_split_clause,[],[f474,f532,f545,f536]) ).
fof(f550,definition,
( spl45_7
<=> sK36 = s(sK39) ),
introduced(definition,[new_symbols(definition,[spl45_7])],[avatar_definition]) ).
fof(f551,plain,
( sK36 = s(sK39)
| ~ spl45_7 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( spl45_1
| spl45_7
| spl45_3 ),
inference(avatar_split_clause,[],[f475,f532,f550,f526]) ).
fof(f553,plain,
( spl45_4
| spl45_7
| spl45_3 ),
inference(avatar_split_clause,[],[f476,f532,f550,f536]) ).
fof(f555,definition,
( spl45_8
<=> '@=<_succeeds'(sK37,sK38) ),
introduced(definition,[new_symbols(definition,[spl45_8])],[avatar_definition]) ).
fof(f556,plain,
( '@=<_succeeds'(sK37,sK38)
| ~ spl45_8 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( spl45_8
| spl45_3 ),
inference(avatar_split_clause,[],[f477,f532,f555]) ).
fof(f559,definition,
( spl45_9
<=> '@<_succeeds'(sK36,sK38) ),
introduced(definition,[new_symbols(definition,[spl45_9])],[avatar_definition]) ).
fof(f560,plain,
( ~ '@<_succeeds'(sK36,sK38)
| spl45_9 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( ~ spl45_9
| spl45_3 ),
inference(avatar_split_clause,[],[f478,f532,f559]) ).
fof(f564,plain,
( ! [X0] :
( ~ '@=<_succeeds'(sK43,X0)
| '@<_succeeds'(sK42,X0) )
| ~ spl45_3 ),
inference(resolution,[],[f533,f480]) ).
fof(f565,plain,
( '@<_succeeds'(sK42,sK44)
| ~ spl45_3 ),
inference(resolution,[],[f564,f479]) ).
fof(f566,plain,
( $false
| ~ spl45_3 ),
inference(forward_subsumption_resolution,[],[f565,f481]) ).
fof(f567,plain,
~ spl45_3,
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f755,plain,
( '0' != sK37
| ~ spl45_6 ),
inference(superposition,[],[f298,f546]) ).
fof(f756,plain,
( '0' != sK37
| ~ spl45_1 ),
inference(superposition,[],[f298,f527]) ).
fof(f757,plain,
( sK36 != sK37
| ~ spl45_1
| ~ spl45_4 ),
inference(forward_demodulation,[],[f756,f537]) ).
fof(f886,plain,
( '0' = sK37
| sK38 = s(sK13(sK37,sK38))
| ~ spl45_8 ),
inference(resolution,[],[f556,f355]) ).
fof(f887,plain,
( '0' = sK37
| sK37 = s(sK12(sK37,sK38))
| ~ spl45_8 ),
inference(resolution,[],[f556,f356]) ).
fof(f1211,definition,
( spl45_30
<=> sK36 = sK37 ),
introduced(definition,[new_symbols(definition,[spl45_30])],[avatar_definition]) ).
fof(f1212,plain,
( sK36 != sK37
| spl45_30 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1472,plain,
( sK37 = s(sK12(sK37,sK38))
| ~ spl45_6
| ~ spl45_8 ),
inference(forward_subsumption_resolution,[],[f887,f755]) ).
fof(f1473,plain,
( sK38 = s(sK13(sK37,sK38))
| ~ spl45_6
| ~ spl45_8 ),
inference(forward_subsumption_resolution,[],[f886,f755]) ).
fof(f1611,plain,
( ! [X0] :
( s(X0) != sK37
| sK12(sK37,sK38) = X0 )
| ~ spl45_6
| ~ spl45_8 ),
inference(superposition,[],[f299,f1472]) ).
fof(f1793,plain,
( sK37 != sK37
| sK40 = sK12(sK37,sK38)
| ~ spl45_6
| ~ spl45_8 ),
inference(superposition,[],[f1611,f546]) ).
fof(f1796,plain,
( sK40 = sK12(sK37,sK38)
| ~ spl45_6
| ~ spl45_8 ),
inference(trivial_inequality_removal,[],[f1793]) ).
fof(f1801,plain,
( '@=<_succeeds'(sK40,sK13(sK37,sK38))
| '0' = sK37
| ~ '@=<_succeeds'(sK37,sK38)
| ~ spl45_6
| ~ spl45_8 ),
inference(superposition,[],[f354,f1796]) ).
fof(f1802,plain,
( '@=<_succeeds'(sK40,sK13(sK37,sK38))
| ~ '@=<_succeeds'(sK37,sK38)
| ~ spl45_6
| ~ spl45_8 ),
inference(forward_subsumption_resolution,[],[f1801,f755]) ).
fof(f1803,plain,
( '@=<_succeeds'(sK40,sK13(sK37,sK38))
| ~ spl45_6
| ~ spl45_8 ),
inference(forward_subsumption_resolution,[],[f1802,f556]) ).
fof(f1805,plain,
( '@<_succeeds'(sK39,sK13(sK37,sK38))
| ~ spl45_2
| ~ spl45_6
| ~ spl45_8 ),
inference(resolution,[],[f1803,f530]) ).
fof(f1825,plain,
( '@<_succeeds'(s(sK39),s(sK13(sK37,sK38)))
| ~ spl45_2
| ~ spl45_6
| ~ spl45_8 ),
inference(resolution,[],[f1805,f509]) ).
fof(f1826,plain,
( '@<_succeeds'(s(sK39),sK38)
| ~ spl45_2
| ~ spl45_6
| ~ spl45_8 ),
inference(forward_demodulation,[],[f1825,f1473]) ).
fof(f1831,plain,
( '@<_succeeds'(sK36,sK38)
| ~ spl45_2
| ~ spl45_6
| ~ spl45_7
| ~ spl45_8 ),
inference(forward_demodulation,[],[f1826,f551]) ).
fof(f1832,plain,
( $false
| ~ spl45_2
| ~ spl45_6
| ~ spl45_7
| ~ spl45_8
| spl45_9 ),
inference(forward_subsumption_resolution,[],[f1831,f560]) ).
fof(f1833,plain,
( ~ spl45_2
| ~ spl45_6
| ~ spl45_7
| ~ spl45_8
| spl45_9 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f7199,plain,
( sK36 = sK37
| sK38 = s(sK13(sK37,sK38))
| ~ spl45_4
| ~ spl45_8 ),
inference(forward_demodulation,[],[f886,f537]) ).
fof(f7286,plain,
( sK38 = s(sK13(sK37,sK38))
| ~ spl45_4
| ~ spl45_8
| spl45_30 ),
inference(forward_subsumption_resolution,[],[f7199,f1212]) ).
fof(f7482,plain,
( '@<_succeeds'('0',sK38)
| ~ spl45_4
| ~ spl45_8
| spl45_30 ),
inference(superposition,[],[f511,f7286]) ).
fof(f7500,plain,
( '@<_succeeds'(sK36,sK38)
| ~ spl45_4
| ~ spl45_8
| spl45_30 ),
inference(forward_demodulation,[],[f7482,f537]) ).
fof(f7502,plain,
( $false
| ~ spl45_4
| ~ spl45_8
| spl45_9
| spl45_30 ),
inference(forward_subsumption_resolution,[],[f7500,f560]) ).
fof(f7503,plain,
( ~ spl45_4
| ~ spl45_8
| spl45_9
| spl45_30 ),
inference(avatar_contradiction_clause,[],[f7502]) ).
fof(f7504,plain,
( ~ spl45_30
| ~ spl45_1
| ~ spl45_4 ),
inference(avatar_split_clause,[],[f757,f536,f526,f1211]) ).
cnf(s1,plain,
( spl45_1
| spl45_2
| spl45_3 ),
inference(sat_conversion,[],[f534]) ).
cnf(s2,plain,
( spl45_2
| spl45_3
| spl45_4 ),
inference(sat_conversion,[],[f538]) ).
cnf(s5,plain,
( spl45_1
| spl45_3
| spl45_6 ),
inference(sat_conversion,[],[f547]) ).
cnf(s6,plain,
( spl45_3
| spl45_4
| spl45_6 ),
inference(sat_conversion,[],[f548]) ).
cnf(s7,plain,
( spl45_1
| spl45_3
| spl45_7 ),
inference(sat_conversion,[],[f552]) ).
cnf(s8,plain,
( spl45_3
| spl45_4
| spl45_7 ),
inference(sat_conversion,[],[f553]) ).
cnf(s9,plain,
( spl45_3
| spl45_8 ),
inference(sat_conversion,[],[f557]) ).
cnf(s10,plain,
( spl45_3
| ~ spl45_9 ),
inference(sat_conversion,[],[f561]) ).
cnf(s11,plain,
~ spl45_3,
inference(sat_conversion,[],[f567]) ).
cnf(s71,plain,
( ~ spl45_2
| ~ spl45_6
| ~ spl45_7
| ~ spl45_8
| spl45_9 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s410,plain,
( ~ spl45_4
| ~ spl45_8
| spl45_9
| spl45_30 ),
inference(sat_conversion,[],[f7503]) ).
cnf(s411,plain,
( ~ spl45_1
| ~ spl45_4
| ~ spl45_30 ),
inference(sat_conversion,[],[f7504]) ).
cnf(s423,plain,
~ spl45_9,
inference(rat,[],[s10,s11]) ).
cnf(s424,plain,
spl45_8,
inference(rat,[],[s9,s11]) ).
cnf(s425,plain,
( spl45_4
| spl45_7 ),
inference(rat,[],[s8,s11]) ).
cnf(s426,plain,
( spl45_1
| spl45_7 ),
inference(rat,[],[s7,s11]) ).
cnf(s427,plain,
( spl45_4
| spl45_6 ),
inference(rat,[],[s6,s11]) ).
cnf(s428,plain,
( spl45_1
| spl45_6 ),
inference(rat,[],[s5,s11]) ).
cnf(s431,plain,
( spl45_2
| spl45_4 ),
inference(rat,[],[s2,s11]) ).
cnf(s432,plain,
( spl45_1
| spl45_2 ),
inference(rat,[],[s1,s11]) ).
cnf(s433,plain,
spl45_1,
inference(rat,[],[s71,s432,s428,s426,s424,s423]) ).
cnf(s434,plain,
~ spl45_4,
inference(rat,[],[s410,s411,s423,s424,s433]) ).
cnf(s435,plain,
spl45_7,
inference(rat,[],[s425,s434]) ).
cnf(s436,plain,
spl45_6,
inference(rat,[],[s427,s434]) ).
cnf(s438,plain,
spl45_2,
inference(rat,[],[s431,s434]) ).
cnf(s439,plain,
$false,
inference(rat,[],[s71,s423,s424,s438,s435,s436]) ).
fof(f7522,plain,
$false,
inference(avatar_sat_refutation,[],[s439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX041+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n016.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 15:00:48 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25 Running first-order theorem proving
% 0.07/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.84/2.26 % (3686335)Detected formulas, will run a generic FOF schedule.
% 10.84/2.26 % (3686343)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=928060264:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.84/2.26 % (3686343)Instruction limit reached!
% 10.84/2.26 % (3686343)------------------------------
% 10.84/2.26 % (3686343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686343)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686343)Termination reason: Instruction limit
% 10.84/2.26 % (3686343)Termination phase: Saturation
% 10.84/2.26 % (3686343)Time elapsed: 0.037 s
% 10.84/2.26 % (3686343)Peak memory usage: 89 MB
% 10.84/2.26 % (3686343)Instructions burned: 111 (million)
% 10.84/2.26 % (3686342)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=3890095225:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.84/2.26 % (3686344)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1355453421:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.84/2.26 % (3686345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1673219443:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.84/2.26 % (3686340)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=1669581061:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.84/2.26 % (3686341)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=1102249715:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.84/2.26 % (3686346)dis-21_1_sil=8000:lcm=predicate:random_seed=1178833495: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)
% 10.84/2.26 % (3686344)Instruction limit reached!
% 10.84/2.26 % (3686344)------------------------------
% 10.84/2.26 % (3686344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686344)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686344)Termination reason: Instruction limit
% 10.84/2.26 % (3686344)Termination phase: Saturation
% 10.84/2.26 % (3686344)Time elapsed: 0.073 s
% 10.84/2.26 % (3686344)Peak memory usage: 88 MB
% 10.84/2.26 % (3686344)Instructions burned: 119 (million)
% 10.84/2.26 % (3686346)Instruction limit reached!
% 10.84/2.26 % (3686346)------------------------------
% 10.84/2.26 % (3686346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686346)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686346)Termination reason: Instruction limit
% 10.84/2.26 % (3686346)Termination phase: Saturation
% 10.84/2.26 % (3686346)Time elapsed: 0.077 s
% 10.84/2.26 % (3686346)Peak memory usage: 89 MB
% 10.84/2.26 % (3686346)Instructions burned: 131 (million)
% 10.84/2.26 % (3686345)Instruction limit reached!
% 10.84/2.26 % (3686345)------------------------------
% 10.84/2.26 % (3686345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686345)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686345)Termination reason: Instruction limit
% 10.84/2.26 % (3686345)Termination phase: Saturation
% 10.84/2.26 % (3686345)Time elapsed: 0.100 s
% 10.84/2.26 % (3686345)Peak memory usage: 90 MB
% 10.84/2.26 % (3686345)Instructions burned: 139 (million)
% 10.84/2.26 % (3686348)lrs+10_1_sil=8000:sp=occurrence:random_seed=1853766817:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.84/2.26 % (3686348)Instruction limit reached!
% 10.84/2.26 % (3686348)------------------------------
% 10.84/2.26 % (3686348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686348)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686348)Termination reason: Instruction limit
% 10.84/2.26 % (3686348)Termination phase: Saturation
% 10.84/2.26 % (3686348)Time elapsed: 0.101 s
% 10.84/2.26 % (3686348)Peak memory usage: 92 MB
% 10.84/2.26 % (3686348)Instructions burned: 288 (million)
% 10.84/2.26 % (3686355)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1196280865:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.84/2.26 % (3686356)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2731607176:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.84/2.26 % (3686357)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=1800862817:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.84/2.26 % (3686355)Instruction limit reached!
% 10.84/2.26 % (3686355)------------------------------
% 10.84/2.26 % (3686355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686355)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686355)Termination reason: Instruction limit
% 10.84/2.26 % (3686355)Termination phase: Saturation
% 10.84/2.26 % (3686355)Time elapsed: 0.088 s
% 10.84/2.26 % (3686355)Peak memory usage: 89 MB
% 10.84/2.26 % (3686355)Instructions burned: 158 (million)
% 10.84/2.26 % (3686360)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3476961722:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.84/2.26 % (3686357)Instruction limit reached!
% 10.84/2.26 % (3686357)------------------------------
% 10.84/2.26 % (3686357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686357)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686357)Termination reason: Instruction limit
% 10.84/2.26 % (3686357)Termination phase: Saturation
% 10.84/2.26 % (3686357)Time elapsed: 0.133 s
% 10.84/2.26 % (3686357)Peak memory usage: 93 MB
% 10.84/2.26 % (3686357)Instructions burned: 249 (million)
% 10.84/2.26 % (3686360)Instruction limit reached!
% 10.84/2.26 % (3686360)------------------------------
% 10.84/2.26 % (3686360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686360)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686360)Termination reason: Instruction limit
% 10.84/2.26 % (3686360)Termination phase: Saturation
% 10.84/2.26 % (3686360)Time elapsed: 0.089 s
% 10.84/2.26 % (3686360)Peak memory usage: 89 MB
% 10.84/2.26 % (3686360)Instructions burned: 296 (million)
% 10.84/2.26 % (3686363)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1281976684:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.84/2.26 % (3686356)Instruction limit reached!
% 10.84/2.26 % (3686356)------------------------------
% 10.84/2.26 % (3686356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686356)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686356)Termination reason: Instruction limit
% 10.84/2.26 % (3686356)Termination phase: Saturation
% 10.84/2.26 % (3686356)Time elapsed: 0.228 s
% 10.84/2.26 % (3686356)Peak memory usage: 92 MB
% 10.84/2.26 % (3686356)Instructions burned: 326 (million)
% 10.84/2.26 % (3686365)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=20603106:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.84/2.26 % (3686366)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3708591337:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.84/2.26 % (3686366)Instruction limit reached!
% 10.84/2.26 % (3686366)------------------------------
% 10.84/2.26 % (3686366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686366)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686366)Termination reason: Instruction limit
% 10.84/2.26 % (3686366)Termination phase: Saturation
% 10.84/2.26 % (3686366)Time elapsed: 0.037 s
% 10.84/2.26 % (3686366)Peak memory usage: 89 MB
% 10.84/2.26 % (3686366)Instructions burned: 129 (million)
% 10.84/2.26 % (3686368)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=463684597:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.84/2.26 % (3686365)Instruction limit reached!
% 10.84/2.26 % (3686365)------------------------------
% 10.84/2.26 % (3686365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686365)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686365)Termination reason: Instruction limit
% 10.84/2.26 % (3686365)Termination phase: Saturation
% 10.84/2.26 % (3686365)Time elapsed: 0.090 s
% 10.84/2.26 % (3686365)Peak memory usage: 90 MB
% 10.84/2.26 % (3686365)Instructions burned: 133 (million)
% 10.84/2.26 % (3686368)Instruction limit reached!
% 10.84/2.26 % (3686368)------------------------------
% 10.84/2.26 % (3686368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686368)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686368)Termination reason: Instruction limit
% 10.84/2.26 % (3686368)Termination phase: Saturation
% 10.84/2.26 % (3686368)Time elapsed: 0.063 s
% 10.84/2.26 % (3686368)Peak memory usage: 89 MB
% 10.84/2.26 % (3686368)Instructions burned: 114 (million)
% 10.84/2.26 % (3686371)lrs+10_1_sil=8000:sp=occurrence:random_seed=1126852222:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.84/2.26 % (3686373)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3725940690:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.84/2.26 % (3686374)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=415947020:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.84/2.26 % (3686373)Refutation not found, incomplete strategy
% 10.84/2.26 % (3686373)------------------------------
% 10.84/2.26 % (3686373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686373)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686373)Termination reason: Refutation not found, incomplete strategy
% 10.84/2.26 % (3686373)Time elapsed: 0.141 s
% 10.84/2.26 % (3686373)Peak memory usage: 90 MB
% 10.84/2.26 % (3686373)Instructions burned: 245 (million)
% 10.84/2.26 % (3686371)Instruction limit reached!
% 10.84/2.26 % (3686371)------------------------------
% 10.84/2.26 % (3686371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686371)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686371)Termination reason: Instruction limit
% 10.84/2.26 % (3686371)Termination phase: Saturation
% 10.84/2.26 % (3686371)Time elapsed: 0.296 s
% 10.84/2.26 % (3686371)Peak memory usage: 97 MB
% 10.84/2.26 % (3686371)Instructions burned: 909 (million)
% 10.84/2.26 % (3686341)First to succeed.
% 10.84/2.26 % (3686341)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3686335"
% 10.84/2.26 % (3686378)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1176684457:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.84/2.26 % (3686373)------------------------------
% 10.84/2.26 % (3686373)------------------------------
% 10.84/2.26 % (3686378)Instruction limit reached!
% 10.84/2.26 % (3686378)------------------------------
% 10.84/2.26 % (3686378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.26 % (3686378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.26 % (3686378)CaDiCaL version: 2.1.3
% 10.84/2.26 % (3686378)Termination reason: Instruction limit
% 10.84/2.26 % (3686378)Termination phase: Saturation
% 10.84/2.26 % (3686378)Time elapsed: 0.037 s
% 10.84/2.26 % (3686378)Peak memory usage: 91 MB
% 10.84/2.26 % (3686378)Instructions burned: 135 (million)
% 10.84/2.26 % (3686340)Also succeeded, but the first one will report.
% 10.84/2.26 % (3686380)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3537833296:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.84/2.26 % (3686381)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1747477808:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.84/2.26 % (3686341)Refutation found. Thanks to Tanya!
% 10.84/2.26 % SZS status Theorem for theBenchmark
% 10.84/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 11.68/2.46 % (3686341)------------------------------
% 11.68/2.46 % (3686341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.46 % (3686341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.46 % (3686341)CaDiCaL version: 2.1.3
% 11.68/2.46 % (3686341)Termination reason: Refutation
% 11.68/2.46 % (3686341)Time elapsed: 1.129 s
% 11.68/2.46 % (3686341)Peak memory usage: 136 MB
% 11.68/2.46 % (3686341)Instructions burned: 1642 (million)
% 11.68/2.46 % (3686341)------------------------------
% 11.68/2.46 % (3686341)------------------------------
% 11.68/2.46 % (3686335)Success in time 1.574 s
% 11.68/2.46 % Vampire exiting
%------------------------------------------------------------------------------