%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX058+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 01:45:47 PM UTC 2026
% Result : Theorem 10.77s 2.19s
% Output : Refutation 11.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 114 ( 21 unt; 10 def)
% Number of atoms : 369 ( 61 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 417 ( 162 ~; 180 |; 47 &)
% ( 9 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn 111 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,axiom,
! [X0,X1] :
( permutation_succeeds(X0,X1)
<=> ( ? [X2,X3,X4] :
( X1 = cons(X2,X3)
& delete_succeeds(X2,X0,X4)
& permutation_succeeds(X4,X3) )
| ( X0 = nil
& X1 = nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id58) ).
fof(f203,axiom,
! [X0] : '**'(nil,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(app:nil)') ).
fof(f204,axiom,
! [X0,X1,X2] :
( list_succeeds(X1)
=> '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(app:cons)') ).
fof(f210,axiom,
! [X0] :
( list_succeeds(X0)
=> '**'(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(app:nil)_015') ).
fof(f259,axiom,
! [X0,X1,X2] :
( list_succeeds(X1)
=> delete_succeeds(X0,'**'(X1,cons(X0,X2)),'**'(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom-(delete:app:1)') ).
fof(f302,axiom,
! [X0] :
( list_succeeds(X0)
=> permutation_succeeds(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(permutation:reflexive)') ).
fof(f303,axiom,
! [X0,X1] :
( permutation_succeeds(X0,X1)
=> permutation_succeeds(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(permutation:symmetric)') ).
fof(f306,axiom,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3] :
( list_succeeds(X3)
=> permutation_succeeds('**'(X2,X3),'**'(X3,X2)) ) )
| X0 = nil )
=> ! [X3] :
( list_succeeds(X3)
=> permutation_succeeds('**'(X0,X3),'**'(X3,X0)) ) )
=> ! [X0] :
( list_succeeds(X0)
=> ! [X3] :
( list_succeeds(X3)
=> permutation_succeeds('**'(X0,X3),'**'(X3,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
fof(f307,conjecture,
! [X0,X1] :
( ( list_succeeds(X0)
& list_succeeds(X1) )
=> permutation_succeeds('**'(X0,X1),'**'(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(permutation:app:commutative)') ).
fof(f308,negated_conjecture,
~ ! [X0,X1] :
( ( list_succeeds(X0)
& list_succeeds(X1) )
=> permutation_succeeds('**'(X0,X1),'**'(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f307]) ).
fof(f333,plain,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3] :
( list_succeeds(X3)
=> permutation_succeeds('**'(X2,X3),'**'(X3,X2)) ) )
| X0 = nil )
=> ! [X4] :
( list_succeeds(X4)
=> permutation_succeeds('**'(X0,X4),'**'(X4,X0)) ) )
=> ! [X5] :
( list_succeeds(X5)
=> ! [X6] :
( list_succeeds(X6)
=> permutation_succeeds('**'(X5,X6),'**'(X6,X5)) ) ) ),
inference(rectify,[],[f306]) ).
fof(f552,plain,
! [X0,X1,X2] :
( '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f204]) ).
fof(f563,plain,
! [X0] :
( '**'(X0,nil) = X0
| ~ list_succeeds(X0) ),
inference(ennf_transformation,[],[f210]) ).
fof(f635,plain,
! [X0,X1,X2] :
( delete_succeeds(X0,'**'(X1,cons(X0,X2)),'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f259]) ).
fof(f702,plain,
! [X0] :
( permutation_succeeds(X0,X0)
| ~ list_succeeds(X0) ),
inference(ennf_transformation,[],[f302]) ).
fof(f703,plain,
! [X0,X1] :
( permutation_succeeds(X1,X0)
| ~ permutation_succeeds(X0,X1) ),
inference(ennf_transformation,[],[f303]) ).
fof(f708,plain,
( ! [X5] :
( ! [X6] :
( permutation_succeeds('**'(X5,X6),'**'(X6,X5))
| ~ list_succeeds(X6) )
| ~ list_succeeds(X5) )
| ? [X0] :
( ? [X4] :
( ~ permutation_succeeds('**'(X0,X4),'**'(X4,X0))
& list_succeeds(X4) )
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3] :
( permutation_succeeds('**'(X2,X3),'**'(X3,X2))
| ~ list_succeeds(X3) ) )
| X0 = nil ) ) ),
inference(ennf_transformation,[],[f333]) ).
fof(f709,plain,
? [X0,X1] :
( ~ permutation_succeeds('**'(X0,X1),'**'(X1,X0))
& list_succeeds(X0)
& list_succeeds(X1) ),
inference(ennf_transformation,[],[f308]) ).
fof(f710,plain,
? [X0,X1] :
( ~ permutation_succeeds('**'(X0,X1),'**'(X1,X0))
& list_succeeds(X0)
& list_succeeds(X1) ),
inference(flattening,[],[f709]) ).
fof(f767,plain,
! [X0,X1] :
( ( permutation_succeeds(X0,X1)
| ( ! [X2,X3,X4] :
( cons(X2,X3) != X1
| ~ delete_succeeds(X2,X0,X4)
| ~ permutation_succeeds(X4,X3) )
& ( nil != X0
| nil != X1 ) ) )
& ( ? [X2,X3,X4] :
( X1 = cons(X2,X3)
& delete_succeeds(X2,X0,X4)
& permutation_succeeds(X4,X3) )
| ( X0 = nil
& X1 = nil )
| ~ permutation_succeeds(X0,X1) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f768,plain,
! [X0,X1] :
( ( permutation_succeeds(X0,X1)
| ( ! [X2,X3,X4] :
( cons(X2,X3) != X1
| ~ delete_succeeds(X2,X0,X4)
| ~ permutation_succeeds(X4,X3) )
& ( nil != X0
| nil != X1 ) ) )
& ( ? [X2,X3,X4] :
( X1 = cons(X2,X3)
& delete_succeeds(X2,X0,X4)
& permutation_succeeds(X4,X3) )
| ( X0 = nil
& X1 = nil )
| ~ permutation_succeeds(X0,X1) ) ),
inference(flattening,[],[f767]) ).
fof(f769,plain,
! [X0,X1] :
( ( permutation_succeeds(X0,X1)
| ( ! [X2,X3,X4] :
( cons(X2,X3) != X1
| ~ delete_succeeds(X2,X0,X4)
| ~ permutation_succeeds(X4,X3) )
& ( nil != X0
| nil != X1 ) ) )
& ( ? [X5,X6,X7] :
( cons(X5,X6) = X1
& delete_succeeds(X5,X0,X7)
& permutation_succeeds(X7,X6) )
| ( X0 = nil
& X1 = nil )
| ~ permutation_succeeds(X0,X1) ) ),
inference(rectify,[],[f768]) ).
fof(f770,plain,
! [X0,X1] :
( ( permutation_succeeds(X0,X1)
| ( ! [X2,X3,X4] :
( cons(X2,X3) != X1
| ~ delete_succeeds(X2,X0,X4)
| ~ permutation_succeeds(X4,X3) )
& ( nil != X0
| nil != X1 ) ) )
& ( ( cons(sK27(X0,X1),sK28(X0,X1)) = X1
& delete_succeeds(sK27(X0,X1),X0,sK29(X0,X1))
& permutation_succeeds(sK29(X0,X1),sK28(X0,X1)) )
| ( X0 = nil
& X1 = nil )
| ~ permutation_succeeds(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28,sK29]),skolemize(X5,sK27(X0,X1)),skolemize(X6,sK28(X0,X1)),skolemize(X7,sK29(X0,X1))],[f769]) ).
fof(f926,plain,
( ! [X0] :
( ! [X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X1) )
| ~ list_succeeds(X0) )
| ? [X2] :
( ? [X3] :
( ~ permutation_succeeds('**'(X2,X3),'**'(X3,X2))
& list_succeeds(X3) )
& ( ? [X4,X5] :
( cons(X4,X5) = X2
& list_succeeds(X5)
& ! [X6] :
( permutation_succeeds('**'(X5,X6),'**'(X6,X5))
| ~ list_succeeds(X6) ) )
| nil = X2 ) ) ),
inference(rectify,[],[f708]) ).
fof(f927,plain,
( ! [X0] :
( ! [X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X1) )
| ~ list_succeeds(X0) )
| ( ~ permutation_succeeds('**'(sK134,sK135),'**'(sK135,sK134))
& list_succeeds(sK135)
& ( ( sK134 = cons(sK136,sK137)
& list_succeeds(sK137)
& ! [X6] :
( permutation_succeeds('**'(sK137,X6),'**'(X6,sK137))
| ~ list_succeeds(X6) ) )
| nil = sK134 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134,sK135,sK136,sK137]),skolemize(X2,sK134),skolemize(X3,sK135),skolemize(X4,sK136),skolemize(X5,sK137)],[f926]) ).
fof(f928,plain,
( ~ permutation_succeeds('**'(sK138,sK139),'**'(sK139,sK138))
& list_succeeds(sK138)
& list_succeeds(sK139) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK138,sK139]),skolemize(X0,sK138),skolemize(X1,sK139)],[f710]) ).
fof(f1063,plain,
! [X2,X3,X0,X1,X4] :
( permutation_succeeds(X0,X1)
| cons(X2,X3) != X1
| ~ delete_succeeds(X2,X0,X4)
| ~ permutation_succeeds(X4,X3) ),
inference(cnf_transformation,[],[f770]) ).
fof(f1365,plain,
! [X0] : '**'(nil,X0) = X0,
inference(cnf_transformation,[],[f203]) ).
fof(f1366,plain,
! [X2,X0,X1] :
( ~ list_succeeds(X1)
| '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2)) ),
inference(cnf_transformation,[],[f552]) ).
fof(f1373,plain,
! [X0] :
( ~ list_succeeds(X0)
| '**'(X0,nil) = X0 ),
inference(cnf_transformation,[],[f563]) ).
fof(f1423,plain,
! [X2,X0,X1] :
( delete_succeeds(X0,'**'(X1,cons(X0,X2)),'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(cnf_transformation,[],[f635]) ).
fof(f1479,plain,
! [X0] :
( permutation_succeeds(X0,X0)
| ~ list_succeeds(X0) ),
inference(cnf_transformation,[],[f702]) ).
fof(f1480,plain,
! [X0,X1] :
( ~ permutation_succeeds(X0,X1)
| permutation_succeeds(X1,X0) ),
inference(cnf_transformation,[],[f703]) ).
fof(f1483,plain,
! [X0,X1,X6] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| permutation_succeeds('**'(sK137,X6),'**'(X6,sK137))
| ~ list_succeeds(X6)
| nil = sK134 ),
inference(cnf_transformation,[],[f927]) ).
fof(f1484,plain,
! [X0,X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| list_succeeds(sK137)
| nil = sK134 ),
inference(cnf_transformation,[],[f927]) ).
fof(f1485,plain,
! [X0,X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| sK134 = cons(sK136,sK137)
| nil = sK134 ),
inference(cnf_transformation,[],[f927]) ).
fof(f1486,plain,
! [X0,X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| list_succeeds(sK135) ),
inference(cnf_transformation,[],[f927]) ).
fof(f1487,plain,
! [X0,X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| ~ permutation_succeeds('**'(sK134,sK135),'**'(sK135,sK134)) ),
inference(cnf_transformation,[],[f927]) ).
fof(f1488,plain,
list_succeeds(sK139),
inference(cnf_transformation,[],[f928]) ).
fof(f1489,plain,
list_succeeds(sK138),
inference(cnf_transformation,[],[f928]) ).
fof(f1490,plain,
~ permutation_succeeds('**'(sK138,sK139),'**'(sK139,sK138)),
inference(cnf_transformation,[],[f928]) ).
fof(f1506,plain,
! [X2,X3,X0,X4] :
( ~ delete_succeeds(X2,X0,X4)
| permutation_succeeds(X0,cons(X2,X3))
| ~ permutation_succeeds(X4,X3) ),
inference(equality_resolution,[],[f1063]) ).
fof(f1606,definition,
sF140 = '**'(sK138,sK139),
introduced(definition,[new_symbols(definition,[sF140])],[function_definition]) ).
fof(f1607,plain,
'**'(sK138,sK139) = sF140,
inference(reorient_equations,[],[f1606]) ).
fof(f1608,definition,
sF141 = '**'(sK139,sK138),
introduced(definition,[new_symbols(definition,[sF141])],[function_definition]) ).
fof(f1609,plain,
'**'(sK139,sK138) = sF141,
inference(reorient_equations,[],[f1608]) ).
fof(f1610,plain,
~ permutation_succeeds(sF140,sF141),
inference(definition_folding,[],[f1490,f1609,f1607]) ).
fof(f1612,definition,
( spl142_1
<=> nil = sK134 ),
introduced(definition,[new_symbols(definition,[spl142_1])],[avatar_definition]) ).
fof(f1614,plain,
( nil = sK134
| ~ spl142_1 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1616,definition,
( spl142_2
<=> ! [X6] :
( permutation_succeeds('**'(sK137,X6),'**'(X6,sK137))
| ~ list_succeeds(X6) ) ),
introduced(definition,[new_symbols(definition,[spl142_2])],[avatar_definition]) ).
fof(f1617,plain,
( ! [X6] :
( permutation_succeeds('**'(sK137,X6),'**'(X6,sK137))
| ~ list_succeeds(X6) )
| ~ spl142_2 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1619,definition,
( spl142_3
<=> ! [X0,X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ) ),
introduced(definition,[new_symbols(definition,[spl142_3])],[avatar_definition]) ).
fof(f1620,plain,
( ! [X0,X1] :
( permutation_succeeds('**'(X0,X1),'**'(X1,X0))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) )
| ~ spl142_3 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1621,plain,
( spl142_1
| spl142_2
| spl142_3 ),
inference(avatar_split_clause,[],[f1483,f1619,f1616,f1612]) ).
fof(f1623,definition,
( spl142_4
<=> list_succeeds(sK137) ),
introduced(definition,[new_symbols(definition,[spl142_4])],[avatar_definition]) ).
fof(f1625,plain,
( list_succeeds(sK137)
| ~ spl142_4 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1626,plain,
( spl142_1
| spl142_4
| spl142_3 ),
inference(avatar_split_clause,[],[f1484,f1619,f1623,f1612]) ).
fof(f1628,definition,
( spl142_5
<=> sK134 = cons(sK136,sK137) ),
introduced(definition,[new_symbols(definition,[spl142_5])],[avatar_definition]) ).
fof(f1630,plain,
( sK134 = cons(sK136,sK137)
| ~ spl142_5 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1631,plain,
( spl142_1
| spl142_5
| spl142_3 ),
inference(avatar_split_clause,[],[f1485,f1619,f1628,f1612]) ).
fof(f1633,definition,
( spl142_6
<=> list_succeeds(sK135) ),
introduced(definition,[new_symbols(definition,[spl142_6])],[avatar_definition]) ).
fof(f1635,plain,
( list_succeeds(sK135)
| ~ spl142_6 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1636,plain,
( spl142_6
| spl142_3 ),
inference(avatar_split_clause,[],[f1486,f1619,f1633]) ).
fof(f1638,definition,
( spl142_7
<=> permutation_succeeds('**'(sK134,sK135),'**'(sK135,sK134)) ),
introduced(definition,[new_symbols(definition,[spl142_7])],[avatar_definition]) ).
fof(f1640,plain,
( ~ permutation_succeeds('**'(sK134,sK135),'**'(sK135,sK134))
| spl142_7 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1641,plain,
( ~ spl142_7
| spl142_3 ),
inference(avatar_split_clause,[],[f1487,f1619,f1638]) ).
fof(f1644,plain,
( permutation_succeeds(sF140,'**'(sK139,sK138))
| ~ list_succeeds(sK138)
| ~ list_succeeds(sK139)
| ~ spl142_3 ),
inference(superposition,[],[f1620,f1607]) ).
fof(f1649,plain,
( permutation_succeeds(sF140,'**'(sK139,sK138))
| ~ list_succeeds(sK139)
| ~ spl142_3 ),
inference(forward_subsumption_resolution,[],[f1644,f1489]) ).
fof(f1653,plain,
( permutation_succeeds(sF140,'**'(sK139,sK138))
| ~ spl142_3 ),
inference(forward_subsumption_resolution,[],[f1649,f1488]) ).
fof(f1657,plain,
( permutation_succeeds(sF140,sF141)
| ~ spl142_3 ),
inference(forward_demodulation,[],[f1653,f1609]) ).
fof(f1661,plain,
( $false
| ~ spl142_3 ),
inference(forward_subsumption_resolution,[],[f1657,f1610]) ).
fof(f1662,plain,
~ spl142_3,
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1663,plain,
( ~ permutation_succeeds('**'(nil,sK135),'**'(sK135,nil))
| ~ spl142_1
| spl142_7 ),
inference(forward_demodulation,[],[f1640,f1614]) ).
fof(f1664,plain,
( ~ permutation_succeeds(sK135,'**'(sK135,nil))
| ~ spl142_1
| spl142_7 ),
inference(forward_demodulation,[],[f1663,f1365]) ).
fof(f1846,plain,
( sK135 = '**'(sK135,nil)
| ~ spl142_6 ),
inference(resolution,[],[f1373,f1635]) ).
fof(f1914,plain,
( ~ permutation_succeeds(sK135,sK135)
| ~ spl142_1
| ~ spl142_6
| spl142_7 ),
inference(superposition,[],[f1664,f1846]) ).
fof(f2091,plain,
( ~ list_succeeds(sK135)
| ~ spl142_1
| ~ spl142_6
| spl142_7 ),
inference(resolution,[],[f1914,f1479]) ).
fof(f2092,plain,
( $false
| ~ spl142_1
| ~ spl142_6
| spl142_7 ),
inference(forward_subsumption_resolution,[],[f2091,f1635]) ).
fof(f2093,plain,
( ~ spl142_1
| ~ spl142_6
| spl142_7 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2112,plain,
( ! [X0,X1] : '**'(cons(X0,sK137),X1) = cons(X0,'**'(sK137,X1))
| ~ spl142_4 ),
inference(resolution,[],[f1625,f1366]) ).
fof(f2121,plain,
( ! [X0] : cons(sK136,'**'(sK137,X0)) = '**'(sK134,X0)
| ~ spl142_4
| ~ spl142_5 ),
inference(superposition,[],[f2112,f1630]) ).
fof(f4252,definition,
( spl142_367
<=> permutation_succeeds('**'(sK137,sK135),'**'(sK135,sK137)) ),
introduced(definition,[new_symbols(definition,[spl142_367])],[avatar_definition]) ).
fof(f4253,plain,
( permutation_succeeds('**'(sK137,sK135),'**'(sK135,sK137))
| ~ spl142_367 ),
inference(avatar_component_clause,[],[f4252]) ).
fof(f4254,plain,
( ~ permutation_succeeds('**'(sK137,sK135),'**'(sK135,sK137))
| spl142_367 ),
inference(avatar_component_clause,[],[f4252]) ).
fof(f4373,plain,
( ~ list_succeeds(sK135)
| ~ spl142_2
| spl142_367 ),
inference(resolution,[],[f4254,f1617]) ).
fof(f4376,plain,
( $false
| ~ spl142_2
| ~ spl142_6
| spl142_367 ),
inference(forward_subsumption_resolution,[],[f4373,f1635]) ).
fof(f4377,plain,
( ~ spl142_2
| ~ spl142_6
| spl142_367 ),
inference(avatar_contradiction_clause,[],[f4376]) ).
fof(f4378,plain,
( permutation_succeeds('**'(sK135,sK137),'**'(sK137,sK135))
| ~ spl142_367 ),
inference(resolution,[],[f4253,f1480]) ).
fof(f5269,plain,
( ! [X0] :
( delete_succeeds(sK136,'**'(X0,sK134),'**'(X0,sK137))
| ~ list_succeeds(X0) )
| ~ spl142_5 ),
inference(superposition,[],[f1423,f1630]) ).
fof(f5418,plain,
( ! [X0,X1] :
( permutation_succeeds('**'(X0,sK134),cons(sK136,X1))
| ~ list_succeeds(X0)
| ~ permutation_succeeds('**'(X0,sK137),X1) )
| ~ spl142_5 ),
inference(resolution,[],[f5269,f1506]) ).
fof(f5574,plain,
( ! [X0,X1] :
( ~ permutation_succeeds('**'(X1,sK137),'**'(sK137,X0))
| ~ list_succeeds(X1)
| permutation_succeeds('**'(X1,sK134),'**'(sK134,X0)) )
| ~ spl142_4
| ~ spl142_5 ),
inference(superposition,[],[f5418,f2121]) ).
fof(f5619,plain,
( ~ list_succeeds(sK135)
| permutation_succeeds('**'(sK135,sK134),'**'(sK134,sK135))
| ~ spl142_4
| ~ spl142_5
| ~ spl142_367 ),
inference(resolution,[],[f5574,f4378]) ).
fof(f5678,plain,
( permutation_succeeds('**'(sK135,sK134),'**'(sK134,sK135))
| ~ spl142_4
| ~ spl142_5
| ~ spl142_6
| ~ spl142_367 ),
inference(forward_subsumption_resolution,[],[f5619,f1635]) ).
fof(f5757,plain,
( permutation_succeeds('**'(sK134,sK135),'**'(sK135,sK134))
| ~ spl142_4
| ~ spl142_5
| ~ spl142_6
| ~ spl142_367 ),
inference(resolution,[],[f5678,f1480]) ).
fof(f5758,plain,
( $false
| ~ spl142_4
| ~ spl142_5
| ~ spl142_6
| spl142_7
| ~ spl142_367 ),
inference(forward_subsumption_resolution,[],[f5757,f1640]) ).
fof(f5759,plain,
( ~ spl142_4
| ~ spl142_5
| ~ spl142_6
| spl142_7
| ~ spl142_367 ),
inference(avatar_contradiction_clause,[],[f5758]) ).
cnf(s1,plain,
( spl142_1
| spl142_2
| spl142_3 ),
inference(sat_conversion,[],[f1621]) ).
cnf(s2,plain,
( spl142_1
| spl142_3
| spl142_4 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s3,plain,
( spl142_1
| spl142_3
| spl142_5 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s4,plain,
( spl142_3
| spl142_6 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s5,plain,
( spl142_3
| ~ spl142_7 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s7,plain,
~ spl142_3,
inference(sat_conversion,[],[f1662]) ).
cnf(s26,plain,
( ~ spl142_1
| ~ spl142_6
| spl142_7 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s254,plain,
( ~ spl142_2
| ~ spl142_6
| spl142_367 ),
inference(sat_conversion,[],[f4377]) ).
cnf(s329,plain,
( ~ spl142_4
| ~ spl142_5
| ~ spl142_6
| spl142_7
| ~ spl142_367 ),
inference(sat_conversion,[],[f5759]) ).
cnf(s330,plain,
~ spl142_7,
inference(rat,[],[s5,s7]) ).
cnf(s331,plain,
spl142_6,
inference(rat,[],[s4,s7]) ).
cnf(s333,plain,
~ spl142_1,
inference(rat,[],[s26,s330,s331]) ).
cnf(s336,plain,
spl142_5,
inference(rat,[],[s3,s7,s333]) ).
cnf(s337,plain,
spl142_4,
inference(rat,[],[s2,s7,s333]) ).
cnf(s338,plain,
~ spl142_367,
inference(rat,[],[s329,s336,s330,s331,s337]) ).
cnf(s347,plain,
~ spl142_2,
inference(rat,[],[s254,s331,s338]) ).
cnf(s390,plain,
$false,
inference(rat,[],[s1,s7,s347,s333]) ).
fof(f5760,plain,
$false,
inference(avatar_sat_refutation,[],[s390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX058+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 14:59:43 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 10.77/2.19 % (3461761)Detected formulas, will run a generic FOF schedule.
% 10.77/2.19 % (3461772)dis-21_1_sil=8000:lcm=predicate:random_seed=1466757936: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)
% 10.77/2.19 % (3461769)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4271698596:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.77/2.19 % (3461771)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1457637510:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.77/2.19 % (3461768)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=1218860580:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.77/2.19 % (3461770)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3194497712:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.77/2.19 % (3461767)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=2612083993:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.77/2.19 % (3461766)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=948134707:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.77/2.19 % (3461772)Instruction limit reached!
% 10.77/2.19 % (3461772)------------------------------
% 10.77/2.19 % (3461772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461772)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461772)Termination reason: Instruction limit
% 10.77/2.19 % (3461772)Termination phase: Saturation
% 10.77/2.19 % (3461772)Time elapsed: 0.044 s
% 10.77/2.19 % (3461772)Peak memory usage: 89 MB
% 10.77/2.19 % (3461772)Instructions burned: 132 (million)
% 10.77/2.19 % (3461770)Instruction limit reached!
% 10.77/2.19 % (3461770)------------------------------
% 10.77/2.19 % (3461770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461770)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461770)Termination reason: Instruction limit
% 10.77/2.19 % (3461770)Termination phase: Saturation
% 10.77/2.19 % (3461770)Time elapsed: 0.073 s
% 10.77/2.19 % (3461770)Peak memory usage: 88 MB
% 10.77/2.19 % (3461770)Instructions burned: 120 (million)
% 10.77/2.19 % (3461769)Instruction limit reached!
% 10.77/2.19 % (3461769)------------------------------
% 10.77/2.19 % (3461769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461769)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461769)Termination reason: Instruction limit
% 10.77/2.19 % (3461769)Termination phase: Saturation
% 10.77/2.19 % (3461769)Time elapsed: 0.075 s
% 10.77/2.19 % (3461769)Peak memory usage: 89 MB
% 10.77/2.19 % (3461769)Instructions burned: 109 (million)
% 10.77/2.19 % (3461771)Instruction limit reached!
% 10.77/2.19 % (3461771)------------------------------
% 10.77/2.19 % (3461771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461771)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461771)Termination reason: Instruction limit
% 10.77/2.19 % (3461771)Termination phase: Saturation
% 10.77/2.19 % (3461771)Time elapsed: 0.101 s
% 10.77/2.19 % (3461771)Peak memory usage: 91 MB
% 10.77/2.19 % (3461771)Instructions burned: 139 (million)
% 10.77/2.19 % (3461780)lrs+10_1_sil=8000:sp=occurrence:random_seed=2579780330:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.77/2.19 % (3461781)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4248304946:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.77/2.19 % (3461782)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1903436527:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.77/2.19 % (3461780)Instruction limit reached!
% 10.77/2.19 % (3461780)------------------------------
% 10.77/2.19 % (3461780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461780)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461780)Termination reason: Instruction limit
% 10.77/2.19 % (3461780)Termination phase: Saturation
% 10.77/2.19 % (3461780)Time elapsed: 0.105 s
% 10.77/2.19 % (3461780)Peak memory usage: 92 MB
% 10.77/2.19 % (3461780)Instructions burned: 288 (million)
% 10.77/2.19 % (3461783)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=2993000002:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.77/2.19 % (3461781)Instruction limit reached!
% 10.77/2.19 % (3461781)------------------------------
% 10.77/2.19 % (3461781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461781)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461781)Termination reason: Instruction limit
% 10.77/2.19 % (3461781)Termination phase: Saturation
% 10.77/2.19 % (3461781)Time elapsed: 0.082 s
% 10.77/2.19 % (3461781)Peak memory usage: 90 MB
% 10.77/2.19 % (3461781)Instructions burned: 159 (million)
% 10.77/2.19 % (3461787)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1938238290:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.77/2.19 % (3461783)Instruction limit reached!
% 10.77/2.19 % (3461783)------------------------------
% 10.77/2.19 % (3461783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461783)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461783)Termination reason: Instruction limit
% 10.77/2.19 % (3461783)Termination phase: Saturation
% 10.77/2.19 % (3461783)Time elapsed: 0.148 s
% 10.77/2.19 % (3461783)Peak memory usage: 93 MB
% 10.77/2.19 % (3461783)Instructions burned: 249 (million)
% 10.77/2.19 % (3461782)Instruction limit reached!
% 10.77/2.19 % (3461782)------------------------------
% 10.77/2.19 % (3461782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461782)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461782)Termination reason: Instruction limit
% 10.77/2.19 % (3461782)Termination phase: Saturation
% 10.77/2.19 % (3461782)Time elapsed: 0.209 s
% 10.77/2.19 % (3461782)Peak memory usage: 92 MB
% 10.77/2.19 % (3461782)Instructions burned: 325 (million)
% 10.77/2.19 % (3461787)Instruction limit reached!
% 10.77/2.19 % (3461787)------------------------------
% 10.77/2.19 % (3461787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461787)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461787)Termination reason: Instruction limit
% 10.77/2.19 % (3461787)Termination phase: Saturation
% 10.77/2.19 % (3461787)Time elapsed: 0.097 s
% 10.77/2.19 % (3461787)Peak memory usage: 90 MB
% 10.77/2.19 % (3461787)Instructions burned: 297 (million)
% 10.77/2.19 % (3461789)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2168052311:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.77/2.19 % (3461791)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2008687398:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.77/2.19 % (3461793)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=830456042:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.77/2.19 % (3461792)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=569716861:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.77/2.19 % (3461793)Instruction limit reached!
% 10.77/2.19 % (3461793)------------------------------
% 10.77/2.19 % (3461793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461793)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461793)Termination reason: Instruction limit
% 10.77/2.19 % (3461793)Termination phase: Saturation
% 10.77/2.19 % (3461793)Time elapsed: 0.036 s
% 10.77/2.19 % (3461793)Peak memory usage: 89 MB
% 10.77/2.19 % (3461793)Instructions burned: 116 (million)
% 10.77/2.19 % (3461791)Instruction limit reached!
% 10.77/2.19 % (3461791)------------------------------
% 10.77/2.19 % (3461791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461791)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461791)Termination reason: Instruction limit
% 10.77/2.19 % (3461791)Termination phase: Saturation
% 10.77/2.19 % (3461791)Time elapsed: 0.074 s
% 10.77/2.19 % (3461791)Peak memory usage: 90 MB
% 10.77/2.19 % (3461791)Instructions burned: 113 (million)
% 10.77/2.19 % (3461792)Instruction limit reached!
% 10.77/2.19 % (3461792)------------------------------
% 10.77/2.19 % (3461792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461792)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461792)Termination reason: Instruction limit
% 10.77/2.19 % (3461792)Termination phase: Saturation
% 10.77/2.19 % (3461792)Time elapsed: 0.067 s
% 10.77/2.19 % (3461792)Peak memory usage: 89 MB
% 10.77/2.19 % (3461792)Instructions burned: 127 (million)
% 10.77/2.19 % (3461798)lrs+10_1_sil=8000:sp=occurrence:random_seed=844038429:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.77/2.19 % (3461799)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=334660989:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.77/2.19 % (3461800)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=117696060:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 10.77/2.19 % (3461798)Instruction limit reached!
% 10.77/2.19 % (3461798)------------------------------
% 10.77/2.19 % (3461798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461798)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461798)Termination reason: Instruction limit
% 10.77/2.19 % (3461798)Termination phase: Saturation
% 10.77/2.19 % (3461798)Time elapsed: 0.314 s
% 10.77/2.19 % (3461798)Peak memory usage: 99 MB
% 10.77/2.19 % (3461798)Instructions burned: 908 (million)
% 10.77/2.19 % (3461799)Instruction limit reached!
% 10.77/2.19 % (3461799)------------------------------
% 10.77/2.19 % (3461799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461799)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461799)Termination reason: Instruction limit
% 10.77/2.19 % (3461799)Termination phase: Saturation
% 10.77/2.19 % (3461799)Time elapsed: 0.267 s
% 10.77/2.19 % (3461799)Peak memory usage: 93 MB
% 10.77/2.19 % (3461799)Instructions burned: 438 (million)
% 10.77/2.19 % (3461766)First to succeed.
% 10.77/2.19 % (3461766)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3461761"
% 10.77/2.19 % (3461768)Also succeeded, but the first one will report.
% 10.77/2.19 % (3461804)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=472875604:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.77/2.19 % (3461804)Instruction limit reached!
% 10.77/2.19 % (3461804)------------------------------
% 10.77/2.19 % (3461804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (3461804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (3461804)CaDiCaL version: 2.1.3
% 10.77/2.19 % (3461804)Termination reason: Instruction limit
% 10.77/2.19 % (3461804)Termination phase: Saturation
% 10.77/2.19 % (3461804)Time elapsed: 0.044 s
% 10.77/2.19 % (3461804)Peak memory usage: 91 MB
% 10.77/2.19 % (3461804)Instructions burned: 135 (million)
% 10.77/2.19 % (3461805)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1409174623:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 10.77/2.19 % (3461766)Refutation found. Thanks to Tanya!
% 10.77/2.19 % SZS status Theorem for theBenchmark
% 10.77/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 11.32/2.39 % (3461766)------------------------------
% 11.32/2.39 % (3461766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.39 % (3461766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.39 % (3461766)CaDiCaL version: 2.1.3
% 11.32/2.39 % (3461766)Termination reason: Refutation
% 11.32/2.39 % (3461766)Time elapsed: 1.065 s
% 11.32/2.39 % (3461766)Peak memory usage: 138 MB
% 11.32/2.39 % (3461766)Instructions burned: 1642 (million)
% 11.32/2.39 % (3461766)------------------------------
% 11.32/2.39 % (3461766)------------------------------
% 11.32/2.39 % (3461761)Success in time 1.527 s
% 11.32/2.39 % Vampire exiting
%------------------------------------------------------------------------------