%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:50:54 AM UTC 2026
% Result : Unsatisfiable 16.42s 3.28s
% Output : Refutation 17.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 133 ( 30 unt; 14 def)
% Number of atoms : 340 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 394 ( 187 ~; 196 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 258 ( 0 sgn 258 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,or(X3,X4)))),or(not(or(not(X3),X0)),or(X2,or(X4,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(or(not(or(a,a)),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_4) ).
fof(f4,definition,
sF0 = or(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
or(a,a) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = or(sF1,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
or(sF1,a) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f3,f9,f7,f5]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
| is_a_theorem(or(not(or(not(X3),X0)),or(X2,or(X4,X0)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(X0),or(not(X1),X2))),or(not(or(not(X3),X1)),or(or(X4,X1),or(not(X1),X2))))),
inference(resolution,[],[f20,f2]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(X0,X1)),X2)),or(not(or(not(X3),X1)),or(or(not(X1),X4),X2)))),
inference(resolution,[],[f27,f20]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,X0))),or(not(or(not(X3),X0)),or(X4,or(X2,X0))))),
inference(resolution,[],[f31,f20]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
| is_a_theorem(or(not(or(not(X3),X0)),or(X4,or(X2,X0)))) ),
inference(resolution,[],[f38,f1]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(X0),or(not(X1),or(X2,X1)))),or(X3,or(not(or(not(X4),X1)),or(not(X1),or(X2,X1)))))),
inference(resolution,[],[f46,f38]) ).
fof(f92,definition,
( spl3_7
<=> ! [X1] : is_a_theorem(or(X1,sF2)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f93,plain,
( ! [X1] : is_a_theorem(or(X1,sF2))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f98,plain,
( ! [X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(sF2) )
| ~ spl3_7 ),
inference(resolution,[],[f93,f1]) ).
fof(f100,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f98,f10]) ).
fof(f101,plain,
( $false
| ~ spl3_7 ),
inference(resolution,[],[f100,f2]) ).
fof(f112,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(X0),or(not(X1),or(X2,X1))))
| is_a_theorem(or(X3,or(not(or(not(X4),X1)),or(not(X1),or(X2,X1))))) ),
inference(resolution,[],[f52,f1]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(or(X0,or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3)))))),
inference(resolution,[],[f117,f38]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3))))) ),
inference(resolution,[],[f124,f1]) ).
fof(f235,definition,
( spl3_17
<=> ! [X2,X4,X1,X3] : is_a_theorem(or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3))))) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f236,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(or(not(or(not(X1),or(not(X2),X3))),or(not(or(not(X2),X3)),or(X4,or(not(X2),X3)))))
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,definition,
( spl3_18
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f239,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl3_17
| spl3_18 ),
inference(avatar_split_clause,[],[f228,f238,f235]) ).
fof(f241,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(or(not(X2),X3)),or(or(not(X2),X3),X1))))
| ~ spl3_17 ),
inference(resolution,[],[f236,f20]) ).
fof(f262,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(not(X0),X1)),X2)),or(not(or(not(X0),X1)),or(X3,X2))))
| ~ spl3_17 ),
inference(resolution,[],[f241,f20]) ).
fof(f281,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(or(not(or(not(X0),X1)),or(X3,X2)))
| ~ is_a_theorem(or(not(or(not(X0),X1)),X2)) )
| ~ spl3_17 ),
inference(resolution,[],[f262,f1]) ).
fof(f285,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X3)))
| is_a_theorem(or(not(or(not(X2),X0)),or(X4,or(X3,X0)))) )
| ~ spl3_17 ),
inference(resolution,[],[f281,f20]) ).
fof(f307,plain,
( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(or(not(or(not(X3),X4)),or(not(X4),or(X5,X4))),X1))))
| ~ spl3_17 ),
inference(resolution,[],[f285,f52]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(or(not(or(not(or(not(or(not(X0),X1)),or(not(X1),or(X2,X1)))),X3)),or(X4,or(X5,X3))))
| ~ spl3_17 ),
inference(resolution,[],[f307,f20]) ).
fof(f568,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))))
| ~ spl3_17 ),
inference(resolution,[],[f532,f117]) ).
fof(f590,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) )
| ~ spl3_17 ),
inference(resolution,[],[f568,f1]) ).
fof(f608,definition,
( spl3_21
<=> ! [X2,X1,X3] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) ),
introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition]) ).
fof(f609,plain,
( ! [X2,X3,X1] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2))))
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( spl3_21
| spl3_18
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f590,f235,f238,f608]) ).
fof(f613,plain,
( $false
| ~ spl3_18 ),
inference(resolution,[],[f239,f52]) ).
fof(f649,plain,
~ spl3_18,
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f653,plain,
( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(X2),or(X2,X1))))
| ~ spl3_21 ),
inference(resolution,[],[f609,f20]) ).
fof(f681,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),or(X1,X2))),or(X3,or(not(X1),or(X1,X2)))))
| ~ spl3_21 ),
inference(resolution,[],[f653,f46]) ).
fof(f796,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(or(not(X0),or(X1,X2)))
| is_a_theorem(or(X3,or(not(X1),or(X1,X2)))) )
| ~ spl3_21 ),
inference(resolution,[],[f681,f1]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(X0,or(not(X1),or(X1,or(X2,X3)))))
| ~ spl3_17
| ~ spl3_21 ),
inference(resolution,[],[f796,f532]) ).
fof(f6639,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(not(X1),or(X1,or(X2,X3)))) )
| ~ spl3_17
| ~ spl3_21 ),
inference(resolution,[],[f807,f1]) ).
fof(f6698,definition,
( spl3_67
<=> ! [X2,X1,X3] : is_a_theorem(or(not(X1),or(X1,or(X2,X3)))) ),
introduced(definition,[new_symbols(definition,[spl3_67])],[avatar_definition]) ).
fof(f6699,plain,
( ! [X2,X3,X1] : is_a_theorem(or(not(X1),or(X1,or(X2,X3))))
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f6698]) ).
fof(f6700,plain,
( spl3_67
| spl3_18
| ~ spl3_17
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f6639,f608,f235,f238,f6698]) ).
fof(f6756,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(or(not(X1),X2),or(X3,X1))))
| ~ spl3_67 ),
inference(resolution,[],[f6699,f20]) ).
fof(f6793,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),X2)),or(X3,or(or(X4,X0),X2))))
| ~ spl3_17
| ~ spl3_67 ),
inference(resolution,[],[f6756,f285]) ).
fof(f7161,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(X0,X1)),or(not(X1),X2))),or(X3,or(X4,or(not(X1),X2)))))
| ~ spl3_17
| ~ spl3_67 ),
inference(resolution,[],[f6793,f20]) ).
fof(f8471,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(X0,X1)),or(not(X1),X2)))
| is_a_theorem(or(X3,or(X4,or(not(X1),X2)))) )
| ~ spl3_17
| ~ spl3_67 ),
inference(resolution,[],[f7161,f1]) ).
fof(f8553,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(X0,or(X1,or(not(X2),or(X3,X2)))))
| ~ spl3_17
| ~ spl3_67 ),
inference(resolution,[],[f8471,f532]) ).
fof(f8604,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(X1,or(not(X2),or(X3,X2)))) )
| ~ spl3_17
| ~ spl3_67 ),
inference(resolution,[],[f8553,f1]) ).
fof(f8671,definition,
( spl3_85
<=> ! [X2,X1,X3] : is_a_theorem(or(X1,or(not(X2),or(X3,X2)))) ),
introduced(definition,[new_symbols(definition,[spl3_85])],[avatar_definition]) ).
fof(f8672,plain,
( ! [X2,X3,X1] : is_a_theorem(or(X1,or(not(X2),or(X3,X2))))
| ~ spl3_85 ),
inference(avatar_component_clause,[],[f8671]) ).
fof(f8673,plain,
( spl3_85
| spl3_18
| ~ spl3_17
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f8604,f6698,f235,f238,f8671]) ).
fof(f8692,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(not(X1),or(X2,X1))) )
| ~ spl3_85 ),
inference(resolution,[],[f8672,f1]) ).
fof(f8759,definition,
( spl3_86
<=> ! [X2,X1] : is_a_theorem(or(not(X1),or(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl3_86])],[avatar_definition]) ).
fof(f8760,plain,
( ! [X2,X1] : is_a_theorem(or(not(X1),or(X2,X1)))
| ~ spl3_86 ),
inference(avatar_component_clause,[],[f8759]) ).
fof(f8761,plain,
( spl3_86
| spl3_18
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f8692,f8671,f238,f8759]) ).
fof(f8769,plain,
( ! [X2,X0,X1] : is_a_theorem(or(X0,or(not(X1),or(X1,X2))))
| ~ spl3_21
| ~ spl3_86 ),
inference(resolution,[],[f8760,f796]) ).
fof(f8824,plain,
( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(not(X0)),X0)),or(X1,or(X2,X0))))
| ~ spl3_86 ),
inference(resolution,[],[f8760,f20]) ).
fof(f8840,plain,
( is_a_theorem(or(not(a),sF2))
| ~ spl3_86 ),
inference(superposition,[],[f8760,f9]) ).
fof(f8955,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(X0),not(X1))),or(X2,or(or(X3,X1),not(X1)))))
| ~ spl3_17
| ~ spl3_86 ),
inference(resolution,[],[f8824,f285]) ).
fof(f9057,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(not(X1),or(X1,X2))) )
| ~ spl3_21
| ~ spl3_86 ),
inference(resolution,[],[f8769,f1]) ).
fof(f9125,definition,
( spl3_110
<=> ! [X2,X1] : is_a_theorem(or(not(X1),or(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl3_110])],[avatar_definition]) ).
fof(f9126,plain,
( ! [X2,X1] : is_a_theorem(or(not(X1),or(X1,X2)))
| ~ spl3_110 ),
inference(avatar_component_clause,[],[f9125]) ).
fof(f9127,plain,
( spl3_110
| spl3_18
| ~ spl3_21
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f9057,f8759,f608,f238,f9125]) ).
fof(f9407,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,or(not(X1),X2))))
| ~ spl3_17
| ~ spl3_86 ),
inference(resolution,[],[f8955,f20]) ).
fof(f9477,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(or(not(or(not(not(X0)),or(X1,X0))),or(X2,or(X3,or(X1,X0)))))
| ~ spl3_17
| ~ spl3_86 ),
inference(resolution,[],[f9407,f20]) ).
fof(f9790,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(or(not(not(X0)),or(X1,X0)))
| is_a_theorem(or(X2,or(X3,or(X1,X0)))) )
| ~ spl3_17
| ~ spl3_86 ),
inference(resolution,[],[f9477,f1]) ).
fof(f9813,plain,
( ! [X2,X0,X1] : is_a_theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl3_17
| ~ spl3_86
| ~ spl3_110 ),
inference(resolution,[],[f9790,f9126]) ).
fof(f9892,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(X1,or(not(X2),X2))) )
| ~ spl3_17
| ~ spl3_86
| ~ spl3_110 ),
inference(resolution,[],[f9813,f1]) ).
fof(f9961,definition,
( spl3_118
<=> ! [X2,X1] : is_a_theorem(or(X1,or(not(X2),X2))) ),
introduced(definition,[new_symbols(definition,[spl3_118])],[avatar_definition]) ).
fof(f9962,plain,
( ! [X2,X1] : is_a_theorem(or(X1,or(not(X2),X2)))
| ~ spl3_118 ),
inference(avatar_component_clause,[],[f9961]) ).
fof(f9963,plain,
( spl3_118
| spl3_18
| ~ spl3_17
| ~ spl3_86
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f9892,f9125,f8759,f235,f238,f9961]) ).
fof(f9982,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(not(X1),X1)) )
| ~ spl3_118 ),
inference(resolution,[],[f9962,f1]) ).
fof(f10035,plain,
( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(or(X0,X2)),or(X2,X1))))
| ~ spl3_118 ),
inference(resolution,[],[f9962,f20]) ).
fof(f10052,definition,
( spl3_119
<=> ! [X1] : is_a_theorem(or(not(X1),X1)) ),
introduced(definition,[new_symbols(definition,[spl3_119])],[avatar_definition]) ).
fof(f10053,plain,
( ! [X1] : is_a_theorem(or(not(X1),X1))
| ~ spl3_119 ),
inference(avatar_component_clause,[],[f10052]) ).
fof(f10054,plain,
( spl3_119
| spl3_18
| ~ spl3_118 ),
inference(avatar_split_clause,[],[f9982,f9961,f238,f10052]) ).
fof(f10056,plain,
( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),or(X2,X1))))
| ~ spl3_118 ),
inference(resolution,[],[f10035,f20]) ).
fof(f10090,plain,
( ! [X2,X0,X1] :
( is_a_theorem(or(not(or(X0,X2)),or(X2,X1)))
| ~ is_a_theorem(or(not(X0),X1)) )
| ~ spl3_118 ),
inference(resolution,[],[f10035,f1]) ).
fof(f10148,plain,
( ! [X2,X0,X1] :
( is_a_theorem(or(not(or(X1,X0)),or(X2,X1)))
| ~ is_a_theorem(or(not(X0),X1)) )
| ~ spl3_118 ),
inference(resolution,[],[f10056,f1]) ).
fof(f10281,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(or(X1,X0))
| is_a_theorem(or(X2,X1)) )
| ~ spl3_118 ),
inference(resolution,[],[f10148,f1]) ).
fof(f10305,plain,
( ! [X0,X1] :
( ~ is_a_theorem(or(X0,X0))
| is_a_theorem(or(X1,X0)) )
| ~ spl3_118
| ~ spl3_119 ),
inference(resolution,[],[f10281,f10053]) ).
fof(f10309,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(or(or(X0,X1),X1))
| is_a_theorem(or(X2,or(X0,X1))) )
| ~ spl3_86
| ~ spl3_118 ),
inference(resolution,[],[f10281,f8760]) ).
fof(f10551,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(or(X0,X2))
| is_a_theorem(or(X2,X1)) )
| ~ spl3_118 ),
inference(resolution,[],[f10090,f1]) ).
fof(f10572,plain,
( ! [X0] :
( is_a_theorem(or(not(sF0),or(a,X0)))
| ~ is_a_theorem(or(not(a),X0)) )
| ~ spl3_118 ),
inference(superposition,[],[f10090,f5]) ).
fof(f10576,plain,
( ! [X0] :
( is_a_theorem(or(sF1,or(a,X0)))
| ~ is_a_theorem(or(not(a),X0)) )
| ~ spl3_118 ),
inference(forward_demodulation,[],[f10572,f7]) ).
fof(f10581,plain,
( ! [X2,X0,X1] :
( is_a_theorem(or(X1,or(X2,X0)))
| ~ is_a_theorem(or(X0,X1)) )
| ~ spl3_86
| ~ spl3_118 ),
inference(resolution,[],[f10551,f8760]) ).
fof(f10584,plain,
( ! [X2,X0,X1] :
( is_a_theorem(or(X1,or(X0,X2)))
| ~ is_a_theorem(or(X0,X1)) )
| ~ spl3_110
| ~ spl3_118 ),
inference(resolution,[],[f10551,f9126]) ).
fof(f11003,plain,
( ! [X0] :
( ~ is_a_theorem(or(sF1,X0))
| is_a_theorem(or(X0,sF2)) )
| ~ spl3_110
| ~ spl3_118 ),
inference(superposition,[],[f10584,f9]) ).
fof(f11095,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(or(X0,or(X1,X0)))
| is_a_theorem(or(X2,or(X1,X0))) )
| ~ spl3_86
| ~ spl3_118
| ~ spl3_119 ),
inference(resolution,[],[f10581,f10305]) ).
fof(f11436,plain,
( ! [X0] :
( ~ is_a_theorem(or(a,sF2))
| is_a_theorem(or(X0,sF2)) )
| ~ spl3_86
| ~ spl3_118
| ~ spl3_119 ),
inference(superposition,[],[f11095,f9]) ).
fof(f11438,definition,
( spl3_124
<=> is_a_theorem(or(a,sF2)) ),
introduced(definition,[new_symbols(definition,[spl3_124])],[avatar_definition]) ).
fof(f11440,plain,
( ~ is_a_theorem(or(a,sF2))
| spl3_124 ),
inference(avatar_component_clause,[],[f11438]) ).
fof(f11441,plain,
( spl3_7
| ~ spl3_124
| ~ spl3_86
| ~ spl3_118
| ~ spl3_119 ),
inference(avatar_split_clause,[],[f11436,f10052,f9961,f8759,f11438,f92]) ).
fof(f12094,plain,
( ! [X0] :
( is_a_theorem(or(or(a,X0),sF2))
| ~ is_a_theorem(or(not(a),X0)) )
| ~ spl3_110
| ~ spl3_118 ),
inference(resolution,[],[f10576,f11003]) ).
fof(f13646,plain,
( ! [X0] :
( ~ is_a_theorem(or(not(a),sF2))
| is_a_theorem(or(X0,or(a,sF2))) )
| ~ spl3_86
| ~ spl3_110
| ~ spl3_118 ),
inference(resolution,[],[f12094,f10309]) ).
fof(f13649,plain,
( ! [X0] : is_a_theorem(or(X0,or(a,sF2)))
| ~ spl3_86
| ~ spl3_110
| ~ spl3_118 ),
inference(forward_subsumption_resolution,[],[f13646,f8840]) ).
fof(f13668,plain,
( ! [X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(or(a,sF2)) )
| ~ spl3_86
| ~ spl3_110
| ~ spl3_118 ),
inference(resolution,[],[f13649,f1]) ).
fof(f13752,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_86
| ~ spl3_110
| ~ spl3_118
| spl3_124 ),
inference(forward_subsumption_resolution,[],[f13668,f11440]) ).
fof(f13753,plain,
( spl3_18
| ~ spl3_86
| ~ spl3_110
| ~ spl3_118
| spl3_124 ),
inference(avatar_split_clause,[],[f13752,f11438,f9961,f9125,f8759,f238]) ).
cnf(s10,plain,
~ spl3_7,
inference(sat_conversion,[],[f112]) ).
cnf(s15,plain,
( spl3_17
| spl3_18 ),
inference(sat_conversion,[],[f240]) ).
cnf(s18,plain,
( ~ spl3_17
| spl3_18
| spl3_21 ),
inference(sat_conversion,[],[f610]) ).
cnf(s36,plain,
~ spl3_18,
inference(sat_conversion,[],[f649]) ).
cnf(s81,plain,
( ~ spl3_17
| spl3_18
| ~ spl3_21
| spl3_67 ),
inference(sat_conversion,[],[f6700]) ).
cnf(s100,plain,
( ~ spl3_17
| spl3_18
| ~ spl3_67
| spl3_85 ),
inference(sat_conversion,[],[f8673]) ).
cnf(s101,plain,
( spl3_18
| ~ spl3_85
| spl3_86 ),
inference(sat_conversion,[],[f8761]) ).
cnf(s131,plain,
( spl3_18
| ~ spl3_21
| ~ spl3_86
| spl3_110 ),
inference(sat_conversion,[],[f9127]) ).
cnf(s137,plain,
( ~ spl3_17
| spl3_18
| ~ spl3_86
| ~ spl3_110
| spl3_118 ),
inference(sat_conversion,[],[f9963]) ).
cnf(s138,plain,
( spl3_18
| ~ spl3_118
| spl3_119 ),
inference(sat_conversion,[],[f10054]) ).
cnf(s142,plain,
( spl3_7
| ~ spl3_86
| ~ spl3_118
| ~ spl3_119
| ~ spl3_124 ),
inference(sat_conversion,[],[f11441]) ).
cnf(s157,plain,
( spl3_18
| ~ spl3_86
| ~ spl3_110
| ~ spl3_118
| spl3_124 ),
inference(sat_conversion,[],[f13753]) ).
cnf(s158,plain,
( ~ spl3_17
| spl3_21 ),
inference(rat,[],[s18,s36]) ).
cnf(s159,plain,
spl3_17,
inference(rat,[],[s15,s36]) ).
cnf(s160,plain,
spl3_21,
inference(rat,[],[s158,s159]) ).
cnf(s164,plain,
spl3_67,
inference(rat,[],[s81,s159,s36,s160]) ).
cnf(s172,plain,
spl3_85,
inference(rat,[],[s100,s159,s36,s164]) ).
cnf(s176,plain,
spl3_86,
inference(rat,[],[s101,s36,s172]) ).
cnf(s181,plain,
spl3_110,
inference(rat,[],[s131,s160,s36,s176]) ).
cnf(s193,plain,
spl3_118,
inference(rat,[],[s137,s176,s159,s36,s181]) ).
cnf(s197,plain,
spl3_119,
inference(rat,[],[s138,s36,s193]) ).
cnf(s198,plain,
spl3_124,
inference(rat,[],[s157,s181,s176,s36,s193]) ).
cnf(s199,plain,
spl3_7,
inference(rat,[],[s142,s198,s197,s176,s193]) ).
cnf(s206,plain,
$false,
inference(rat,[],[s10,s199]) ).
fof(f13754,plain,
$false,
inference(avatar_sat_refutation,[],[s206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:16:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 11.76/2.54 % (3647134)Input is clausal, will run a generic CNF schedule.
% 11.76/2.54 % (3647139)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=3899686716:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.76/2.54 % (3647144)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2531322522:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.76/2.54 % (3647142)lrs+10_1_sil=8000:sp=occurrence:random_seed=2422541826:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.76/2.54 % (3647140)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2211632785:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.76/2.54 % (3647141)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=329172530:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.76/2.54 % (3647143)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3105069130:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.76/2.54 % (3647145)dis-21_1_sil=8000:lcm=predicate:random_seed=2906806642:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.76/2.54 % (3647142)Instruction limit reached!
% 11.76/2.54 % (3647142)------------------------------
% 11.76/2.54 % (3647142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.54 % (3647142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.54 % (3647142)CaDiCaL version: 2.1.3
% 11.76/2.54 % (3647142)Termination reason: Instruction limit
% 11.76/2.54 % (3647142)Termination phase: Saturation
% 11.76/2.54 % (3647142)Time elapsed: 0.067 s
% 11.76/2.54 % (3647142)Peak memory usage: 89 MB
% 11.76/2.54 % (3647142)Instructions burned: 108 (million)
% 11.76/2.54 % (3647143)Instruction limit reached!
% 11.76/2.54 % (3647143)------------------------------
% 11.76/2.54 % (3647143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.54 % (3647143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.54 % (3647143)CaDiCaL version: 2.1.3
% 11.76/2.54 % (3647143)Termination reason: Instruction limit
% 11.76/2.54 % (3647143)Termination phase: Saturation
% 11.76/2.54 % (3647143)Time elapsed: 0.070 s
% 11.76/2.54 % (3647143)Peak memory usage: 88 MB
% 11.76/2.54 % (3647143)Instructions burned: 115 (million)
% 11.76/2.54 % (3647145)Instruction limit reached!
% 11.76/2.54 % (3647145)------------------------------
% 11.76/2.54 % (3647145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.54 % (3647145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.54 % (3647145)CaDiCaL version: 2.1.3
% 11.76/2.54 % (3647145)Termination reason: Instruction limit
% 11.76/2.54 % (3647145)Termination phase: Saturation
% 11.76/2.54 % (3647145)Time elapsed: 0.067 s
% 11.76/2.54 % (3647145)Peak memory usage: 88 MB
% 11.76/2.54 % (3647145)Instructions burned: 117 (million)
% 11.76/2.54 % (3647144)Instruction limit reached!
% 11.76/2.54 % (3647144)------------------------------
% 11.76/2.54 % (3647144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.54 % (3647144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.54 % (3647144)CaDiCaL version: 2.1.3
% 11.76/2.54 % (3647144)Termination reason: Instruction limit
% 11.76/2.54 % (3647144)Termination phase: Saturation
% 11.76/2.54 % (3647144)Time elapsed: 0.109 s
% 11.76/2.54 % (3647144)Peak memory usage: 89 MB
% 11.76/2.54 % (3647144)Instructions burned: 181 (million)
% 11.76/2.54 % (3647153)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2461398632:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.76/2.54 % (3647153)Refutation not found, incomplete strategy
% 11.76/2.54 % (3647153)------------------------------
% 11.76/2.54 % (3647153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.76/2.54 % (3647153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.76/2.54 % (3647153)CaDiCaL version: 2.1.3
% 11.76/2.54 % (3647153)Termination reason: Refutation not found, incomplete strategy
% 11.76/2.54 % (3647153)Time elapsed: 0.001 s
% 11.76/2.54 % (3647153)Peak memory usage: 87 MB
% 11.76/2.54 % (3647154)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4023198484:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 16.42/3.28 % (3647155)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=749211953:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 16.42/3.28 % (3647155)Refutation not found, incomplete strategy
% 16.42/3.28 % (3647155)------------------------------
% 16.42/3.28 % (3647155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647155)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647155)Termination reason: Refutation not found, incomplete strategy
% 16.42/3.28 % (3647155)Time elapsed: 0.001 s
% 16.42/3.28 % (3647155)Peak memory usage: 87 MB
% 16.42/3.28 % (3647156)lrs+10_64_to=lpo:sil=8000:random_seed=2930930016:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 16.42/3.28 % (3647154)Instruction limit reached!
% 16.42/3.28 % (3647154)------------------------------
% 16.42/3.28 % (3647154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647154)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647154)Termination reason: Instruction limit
% 16.42/3.28 % (3647154)Termination phase: Saturation
% 16.42/3.28 % (3647154)Time elapsed: 0.111 s
% 16.42/3.28 % (3647154)Peak memory usage: 87 MB
% 16.42/3.28 % (3647154)Instructions burned: 189 (million)
% 16.42/3.28 % (3647156)Instruction limit reached!
% 16.42/3.28 % (3647156)------------------------------
% 16.42/3.28 % (3647156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647156)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647156)Termination reason: Instruction limit
% 16.42/3.28 % (3647156)Termination phase: Saturation
% 16.42/3.28 % (3647156)Time elapsed: 0.080 s
% 16.42/3.28 % (3647156)Peak memory usage: 89 MB
% 16.42/3.28 % (3647156)Instructions burned: 127 (million)
% 16.42/3.28 % (3647153)------------------------------
% 16.42/3.28 % (3647153)------------------------------
% 16.42/3.28 % (3647161)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1003814360:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 16.42/3.28 % (3647155)------------------------------
% 16.42/3.28 % (3647155)------------------------------
% 16.42/3.28 % (3647161)Instruction limit reached!
% 16.42/3.28 % (3647161)------------------------------
% 16.42/3.28 % (3647161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647161)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647161)Termination reason: Instruction limit
% 16.42/3.28 % (3647161)Termination phase: Saturation
% 16.42/3.28 % (3647161)Time elapsed: 0.037 s
% 16.42/3.28 % (3647161)Peak memory usage: 87 MB
% 16.42/3.28 % (3647161)Instructions burned: 197 (million)
% 16.42/3.28 % (3647162)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2784932038:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 16.42/3.28 % (3647165)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2401666451:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 16.42/3.28 % (3647164)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=471369796:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 16.42/3.28 % (3647162)Instruction limit reached!
% 16.42/3.28 % (3647162)------------------------------
% 16.42/3.28 % (3647162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647162)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647162)Termination reason: Instruction limit
% 16.42/3.28 % (3647162)Termination phase: Saturation
% 16.42/3.28 % (3647162)Time elapsed: 0.103 s
% 16.42/3.28 % (3647162)Peak memory usage: 90 MB
% 16.42/3.28 % (3647162)Instructions burned: 157 (million)
% 16.42/3.28 % (3647165)Instruction limit reached!
% 16.42/3.28 % (3647165)------------------------------
% 16.42/3.28 % (3647165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647165)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647165)Termination reason: Instruction limit
% 16.42/3.28 % (3647165)Termination phase: Saturation
% 16.42/3.28 % (3647165)Time elapsed: 0.028 s
% 16.42/3.28 % (3647165)Peak memory usage: 88 MB
% 16.42/3.28 % (3647165)Instructions burned: 108 (million)
% 16.42/3.28 % (3647166)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1139844367:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 16.42/3.28 % (3647166)Refutation not found, incomplete strategy
% 16.42/3.28 % (3647166)------------------------------
% 16.42/3.28 % (3647166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647166)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647166)Termination reason: Refutation not found, incomplete strategy
% 16.42/3.28 % (3647166)Time elapsed: 0.001 s
% 16.42/3.28 % (3647166)Peak memory usage: 87 MB
% 16.42/3.28 % (3647171)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3712603629:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 16.42/3.28 % (3647170)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=431060732:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 16.42/3.28 % (3647170)Instruction limit reached!
% 16.42/3.28 % (3647170)------------------------------
% 16.42/3.28 % (3647170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647170)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647170)Termination reason: Instruction limit
% 16.42/3.28 % (3647170)Termination phase: Saturation
% 16.42/3.28 % (3647170)Time elapsed: 0.132 s
% 16.42/3.28 % (3647170)Peak memory usage: 89 MB
% 16.42/3.28 % (3647170)Instructions burned: 243 (million)
% 16.42/3.28 % (3647166)------------------------------
% 16.42/3.28 % (3647166)------------------------------
% 16.42/3.28 % (3647175)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1516341085:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 16.42/3.28 % (3647176)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2899263599:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 16.42/3.28 % (3647175)Instruction limit reached!
% 16.42/3.28 % (3647175)------------------------------
% 16.42/3.28 % (3647175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647175)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647175)Termination reason: Instruction limit
% 16.42/3.28 % (3647175)Termination phase: Saturation
% 16.42/3.28 % (3647175)Time elapsed: 0.048 s
% 16.42/3.28 % (3647175)Peak memory usage: 88 MB
% 16.42/3.28 % (3647175)Instructions burned: 134 (million)
% 16.42/3.28 % (3647179)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=967034309:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 16.42/3.28 % (3647176)Instruction limit reached!
% 16.42/3.28 % (3647176)------------------------------
% 16.42/3.28 % (3647176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647176)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647176)Termination reason: Instruction limit
% 16.42/3.28 % (3647176)Termination phase: Saturation
% 16.42/3.28 % (3647176)Time elapsed: 0.271 s
% 16.42/3.28 % (3647176)Peak memory usage: 92 MB
% 16.42/3.28 % (3647176)Instructions burned: 499 (million)
% 16.42/3.28 % (3647179)Instruction limit reached!
% 16.42/3.28 % (3647179)------------------------------
% 16.42/3.28 % (3647179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647179)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647179)Termination reason: Instruction limit
% 16.42/3.28 % (3647179)Termination phase: Saturation
% 16.42/3.28 % (3647179)Time elapsed: 0.125 s
% 16.42/3.28 % (3647179)Peak memory usage: 91 MB
% 16.42/3.28 % (3647179)Instructions burned: 191 (million)
% 16.42/3.28 % (3647181)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1757430633:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 16.42/3.28 % (3647182)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2241208666:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 16.42/3.28 % (3647182)Instruction limit reached!
% 16.42/3.28 % (3647182)------------------------------
% 16.42/3.28 % (3647182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647182)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647182)Termination reason: Instruction limit
% 16.42/3.28 % (3647182)Termination phase: Saturation
% 16.42/3.28 % (3647182)Time elapsed: 0.073 s
% 16.42/3.28 % (3647182)Peak memory usage: 89 MB
% 16.42/3.28 % (3647182)Instructions burned: 156 (million)
% 16.42/3.28 % (3647181)Instruction limit reached!
% 16.42/3.28 % (3647181)------------------------------
% 16.42/3.28 % (3647181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647181)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647181)Termination reason: Instruction limit
% 16.42/3.28 % (3647181)Termination phase: Saturation
% 16.42/3.28 % (3647181)Time elapsed: 0.174 s
% 16.42/3.28 % (3647181)Peak memory usage: 91 MB
% 16.42/3.28 % (3647181)Instructions burned: 264 (million)
% 16.42/3.28 % (3647185)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2675024989:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 16.42/3.28 % (3647186)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4152601031:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 16.42/3.28 % (3647139)First to succeed.
% 16.42/3.28 % (3647139)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3647134"
% 16.42/3.28 % (3647186)Instruction limit reached!
% 16.42/3.28 % (3647186)------------------------------
% 16.42/3.28 % (3647186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.42/3.28 % (3647186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/3.28 % (3647186)CaDiCaL version: 2.1.3
% 16.42/3.28 % (3647186)Termination reason: Instruction limit
% 16.42/3.28 % (3647186)Termination phase: Saturation
% 16.42/3.28 % (3647186)Time elapsed: 0.308 s
% 16.42/3.28 % (3647186)Peak memory usage: 91 MB
% 16.42/3.28 % (3647186)Instructions burned: 538 (million)
% 16.42/3.28 % (3647140)Also succeeded, but the first one will report.
% 16.42/3.28 % (3647139)Refutation found. Thanks to Tanya!
% 16.42/3.28 % SZS status Unsatisfiable for theBenchmark
% 16.42/3.28 % SZS output start Proof for theBenchmark
% See solution above
% 17.59/3.47 % (3647139)------------------------------
% 17.59/3.47 % (3647139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.47 % (3647139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.47 % (3647139)CaDiCaL version: 2.1.3
% 17.59/3.47 % (3647139)Termination reason: Refutation
% 17.59/3.47 % (3647139)Time elapsed: 2.018 s
% 17.59/3.47 % (3647139)Peak memory usage: 154 MB
% 17.59/3.47 % (3647139)Instructions burned: 3613 (million)
% 17.59/3.47 % (3647139)------------------------------
% 17.59/3.47 % (3647139)------------------------------
% 17.59/3.47 % (3647134)Success in time 2.409 s
% 17.59/3.47 % Vampire exiting
%------------------------------------------------------------------------------