%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL074-1 : 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 : n020.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 11:51:07 AM UTC 2026
% Result : Unsatisfiable 16.95s 3.38s
% Output : Refutation 17.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 127 ( 31 unt; 9 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 365 ( 174 ~; 182 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 10 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 271 ( 0 sgn 271 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(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(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_2) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4))
| is_a_theorem(implies(implies(X4,X0),implies(X3,X0))) ),
inference(resolution,[],[f1,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f5,f4]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f6,f4]) ).
fof(f10,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(X1)),implies(X2,not(X1)))),
inference(resolution,[],[f8,f4]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f8,f1]) ).
fof(f14,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f11,f8]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X2))) ),
inference(resolution,[],[f14,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
inference(resolution,[],[f14,f4]) ).
fof(f22,definition,
( spl0_1
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f23,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f26,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f27,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f25,f22]) ).
fof(f29,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(resolution,[],[f20,f11]) ).
fof(f30,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f20,f4]) ).
fof(f34,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f29,f26]) ).
fof(f35,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f38,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X0),X2),implies(X1,X2))),
inference(resolution,[],[f30,f4]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f30,f1]) ).
fof(f42,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(implies(not(X1),not(X2)))),implies(X2,not(implies(not(X1),not(X2)))))),
inference(resolution,[],[f38,f4]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X0),not(X1)),X0),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f38,f1]) ).
fof(f44,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f23,f1]) ).
fof(f49,definition,
( spl0_3
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f50,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( spl0_3
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f44,f22,f25,f49]) ).
fof(f55,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f43,f8]) ).
fof(f56,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(resolution,[],[f43,f30]) ).
fof(f59,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X0)),X1)))
| ~ spl0_3 ),
inference(resolution,[],[f43,f50]) ).
fof(f60,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f55,f1]) ).
fof(f65,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),not(X0)),X1))
| ~ is_a_theorem(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f59,f1]) ).
fof(f105,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X0))))),
inference(resolution,[],[f10,f43]) ).
fof(f113,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f39,f2]) ).
fof(f132,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f113,f1]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(not(X2),not(X3))))
| is_a_theorem(implies(implies(implies(X4,X2),X0),implies(X3,X0))) ),
inference(resolution,[],[f132,f4]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f132,f1]) ).
fof(f324,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(not(X3),not(not(X1))),implies(X2,X3)))),
inference(resolution,[],[f206,f42]) ).
fof(f328,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(implies(X2,X3)),X2))),
inference(resolution,[],[f206,f105]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(not(X1),not(X3))) ),
inference(resolution,[],[f206,f60]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(implies(X2,X3)),X2)) ),
inference(resolution,[],[f328,f1]) ).
fof(f372,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(not(implies(X0,X1)),X0))
| ~ is_a_theorem(X2) )
| ~ spl0_3 ),
inference(resolution,[],[f341,f65]) ).
fof(f376,definition,
( spl0_7
<=> ! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f377,plain,
( ! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),X0))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f378,plain,
( spl0_2
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f372,f49,f376,f25]) ).
fof(f425,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(not(X3),not(not(X1))),implies(X2,X3))) ),
inference(resolution,[],[f324,f1]) ).
fof(f426,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(implies(X0,X1)),not(not(X2))),implies(implies(X2,X1),implies(X0,X1)))),
inference(resolution,[],[f425,f2]) ).
fof(f461,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(not(X0))),implies(X1,X0)))
| ~ spl0_3 ),
inference(resolution,[],[f425,f50]) ).
fof(f464,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(not(X2))),implies(X2,not(not(X2)))))
| ~ spl0_3 ),
inference(resolution,[],[f461,f206]) ).
fof(f560,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X1)),not(not(X2))))
| is_a_theorem(implies(implies(X2,X1),implies(X0,X1))) ),
inference(resolution,[],[f426,f1]) ).
fof(f681,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X1)))))
| ~ spl0_3 ),
inference(resolution,[],[f464,f43]) ).
fof(f688,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,not(not(X1)))) )
| ~ spl0_3 ),
inference(resolution,[],[f681,f1]) ).
fof(f691,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2)))
| ~ spl0_3 ),
inference(resolution,[],[f681,f206]) ).
fof(f705,definition,
( spl0_11
<=> ! [X1] : is_a_theorem(implies(X1,not(not(X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f706,plain,
( ! [X1] : is_a_theorem(implies(X1,not(not(X1))))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( spl0_11
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f688,f49,f25,f705]) ).
fof(f708,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,not(X1)),implies(X2,X1)),implies(X3,implies(X2,X1))))
| ~ spl0_3 ),
inference(resolution,[],[f691,f206]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(not(X1)),X2)) )
| ~ spl0_3 ),
inference(resolution,[],[f691,f1]) ).
fof(f723,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,not(not(implies(X1,X1)))))
| ~ spl0_11 ),
inference(resolution,[],[f706,f11]) ).
fof(f726,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,not(not(implies(X1,X0)))))
| ~ spl0_11 ),
inference(resolution,[],[f706,f39]) ).
fof(f734,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(not(not(implies(X1,X1)))) )
| ~ spl0_11 ),
inference(resolution,[],[f723,f1]) ).
fof(f749,definition,
( spl0_12
<=> ! [X1] : is_a_theorem(not(not(implies(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f750,plain,
( ! [X1] : is_a_theorem(not(not(implies(X1,X1))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f751,plain,
( spl0_12
| spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f734,f705,f25,f749]) ).
fof(f802,plain,
( ! [X0,X1] : is_a_theorem(implies(not(not(X0)),not(not(implies(X1,X0)))))
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f720,f706]) ).
fof(f1204,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1)))
| ~ spl0_7 ),
inference(resolution,[],[f560,f377]) ).
fof(f1226,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_7 ),
inference(resolution,[],[f1204,f1]) ).
fof(f1229,plain,
( ! [X0,X1] :
( ~ is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) )
| ~ spl0_7 ),
inference(resolution,[],[f1226,f1]) ).
fof(f1868,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,not(X1)),implies(X2,X1)))
| is_a_theorem(implies(X3,implies(X2,X1))) )
| ~ spl0_3 ),
inference(resolution,[],[f708,f1]) ).
fof(f1895,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(X1,not(X2))),X2)))
| ~ spl0_3 ),
inference(resolution,[],[f1868,f56]) ).
fof(f3295,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(X1,not(X2))),X2)) )
| ~ spl0_3 ),
inference(resolution,[],[f1895,f1]) ).
fof(f3338,definition,
( spl0_14
<=> ! [X2,X1] : is_a_theorem(implies(not(implies(X1,not(X2))),X2)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f3339,plain,
( ! [X2,X1] : is_a_theorem(implies(not(implies(X1,not(X2))),X2))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f3340,plain,
( spl0_14
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3295,f49,f25,f3338]) ).
fof(f5310,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(not(implies(not(X0),not(X1))),not(X2)))
| is_a_theorem(implies(implies(implies(X2,X0),X3),implies(X1,X3))) ),
inference(resolution,[],[f332,f4]) ).
fof(f5495,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))
| ~ spl0_14 ),
inference(resolution,[],[f5310,f3339]) ).
fof(f5541,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) )
| ~ spl0_14 ),
inference(resolution,[],[f5495,f1]) ).
fof(f5662,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),not(not(implies(X0,X1)))))
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f5541,f706]) ).
fof(f5664,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),not(not(implies(X1,implies(X0,X2))))))
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f5541,f726]) ).
fof(f5675,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f5662,f560]) ).
fof(f5707,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f5675,f4]) ).
fof(f5738,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,implies(X3,X0))) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f5707,f207]) ).
fof(f6160,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(not(X3),not(X2))) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f5738,f332]) ).
fof(f6431,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(X2,implies(X1,X0)),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(not(X0),not(X1))) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f6160,f4]) ).
fof(f6665,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X2,implies(X1,X0)),X3))
| ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X4,X3)) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f6431,f1]) ).
fof(f6676,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X2,implies(implies(implies(X1,X0),X3),implies(X4,X3))))
| ~ is_a_theorem(implies(not(X0),not(X1))) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f6665,f2]) ).
fof(f6789,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(implies(X1,X0),X3),implies(X4,X3))) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f6676,f1]) ).
fof(f6851,definition,
( spl0_21
<=> ! [X4,X0,X3,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(implies(implies(X1,X0),X3),implies(X4,X3))) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f6852,plain,
( ! [X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(X1,X0),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(not(X0),not(X1))) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f6851]) ).
fof(f6853,plain,
( spl0_2
| spl0_21
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f6789,f3338,f705,f6851,f25]) ).
fof(f6903,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| ~ is_a_theorem(implies(implies(X1,X0),X2))
| is_a_theorem(implies(X3,X2)) )
| ~ spl0_21 ),
inference(resolution,[],[f6852,f1]) ).
fof(f6919,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,not(X1)),X2))
| is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,not(X0))) )
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f6903,f1226]) ).
fof(f6986,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(not(X1),not(not(implies(X3,X2))))) )
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f6919,f426]) ).
fof(f7058,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(not(implies(X1,X2)))))
| ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(X0,X2),implies(X1,X2))) )
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f6986,f1]) ).
fof(f7121,definition,
( spl0_22
<=> ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(not(implies(X1,X2)))))
| is_a_theorem(implies(implies(X0,X2),implies(X1,X2))) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f7122,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(not(implies(X1,X2)))))
| is_a_theorem(implies(implies(X0,X2),implies(X1,X2))) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f7121]) ).
fof(f7123,plain,
( spl0_2
| spl0_22
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f7058,f6851,f376,f7121,f25]) ).
fof(f7124,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_22 ),
inference(resolution,[],[f7122,f802]) ).
fof(f10132,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) )
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f1229,f750]) ).
fof(f11758,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f5664,f7122]) ).
fof(f11818,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) )
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f11758,f1]) ).
fof(f11869,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f11818,f7124]) ).
fof(f12134,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f11869,f10132]) ).
fof(f12512,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f12134,f3]) ).
fof(f12517,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f12512]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f35]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s7,plain,
( spl0_2
| ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f378]) ).
cnf(s12,plain,
( spl0_2
| ~ spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f707]) ).
cnf(s13,plain,
( spl0_2
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f751]) ).
cnf(s15,plain,
( spl0_2
| ~ spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f3340]) ).
cnf(s24,plain,
( spl0_2
| ~ spl0_11
| ~ spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f6853]) ).
cnf(s25,plain,
( spl0_2
| ~ spl0_7
| ~ spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f7123]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f12517]) ).
cnf(s105,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s106,plain,
spl0_3,
inference(rat,[],[s4,s3,s105]) ).
cnf(s110,plain,
spl0_14,
inference(rat,[],[s15,s3,s106]) ).
cnf(s112,plain,
spl0_11,
inference(rat,[],[s12,s3,s106]) ).
cnf(s114,plain,
spl0_7,
inference(rat,[],[s7,s3,s106]) ).
cnf(s120,plain,
spl0_21,
inference(rat,[],[s24,s110,s3,s112]) ).
cnf(s121,plain,
spl0_12,
inference(rat,[],[s13,s3,s112]) ).
cnf(s146,plain,
~ spl0_22,
inference(rat,[],[s68,s112,s110,s121,s106,s114]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s25,s146,s3,s120,s114]) ).
fof(f12518,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % 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 15:21:20 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 10.53/2.47 % (3522202)Input is clausal, will run a generic CNF schedule.
% 10.53/2.47 % (3522221)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=149788776:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.53/2.47 % (3522219)lrs+10_1_sil=8000:sp=occurrence:random_seed=3833433422:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.53/2.47 % (3522217)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3377257776:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.53/2.47 % (3522220)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1387535550:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.53/2.47 % (3522218)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=87033111:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.53/2.47 % (3522222)dis-21_1_sil=8000:lcm=predicate:random_seed=3767707860: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)
% 10.53/2.47 % (3522216)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=4181323158:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.53/2.47 % (3522221)Instruction limit reached!
% 10.53/2.47 % (3522221)------------------------------
% 10.53/2.47 % (3522221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (3522221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (3522221)CaDiCaL version: 2.1.3
% 10.53/2.47 % (3522221)Termination reason: Instruction limit
% 10.53/2.47 % (3522221)Termination phase: Saturation
% 10.53/2.47 % (3522221)Time elapsed: 0.062 s
% 10.53/2.47 % (3522221)Peak memory usage: 89 MB
% 10.53/2.47 % (3522221)Instructions burned: 183 (million)
% 10.53/2.47 % (3522219)Instruction limit reached!
% 10.53/2.47 % (3522219)------------------------------
% 10.53/2.47 % (3522219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (3522219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (3522219)CaDiCaL version: 2.1.3
% 10.53/2.47 % (3522219)Termination reason: Instruction limit
% 10.53/2.47 % (3522219)Termination phase: Saturation
% 10.53/2.47 % (3522219)Time elapsed: 0.067 s
% 10.53/2.47 % (3522219)Peak memory usage: 89 MB
% 10.53/2.47 % (3522219)Instructions burned: 108 (million)
% 10.53/2.47 % (3522220)Instruction limit reached!
% 10.53/2.47 % (3522220)------------------------------
% 10.53/2.47 % (3522220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (3522220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (3522220)CaDiCaL version: 2.1.3
% 10.53/2.47 % (3522220)Termination reason: Instruction limit
% 10.53/2.47 % (3522220)Termination phase: Saturation
% 10.53/2.47 % (3522220)Time elapsed: 0.070 s
% 10.53/2.47 % (3522220)Peak memory usage: 88 MB
% 10.53/2.47 % (3522220)Instructions burned: 115 (million)
% 10.53/2.47 % (3522222)Instruction limit reached!
% 10.53/2.47 % (3522222)------------------------------
% 10.53/2.47 % (3522222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (3522222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (3522222)CaDiCaL version: 2.1.3
% 10.53/2.47 % (3522222)Termination reason: Instruction limit
% 10.53/2.47 % (3522222)Termination phase: Saturation
% 10.53/2.47 % (3522222)Time elapsed: 0.071 s
% 10.53/2.47 % (3522222)Peak memory usage: 89 MB
% 10.53/2.47 % (3522222)Instructions burned: 118 (million)
% 10.53/2.47 % (3522231)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=132328120:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.53/2.47 % (3522231)Refutation not found, incomplete strategy
% 10.53/2.47 % (3522231)------------------------------
% 10.53/2.47 % (3522231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.53/2.47 % (3522231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.53/2.47 % (3522231)CaDiCaL version: 2.1.3
% 10.53/2.47 % (3522231)Termination reason: Refutation not found, incomplete strategy
% 10.53/2.47 % (3522231)Time elapsed: 0.0000 s
% 10.53/2.47 % (3522231)Peak memory usage: 87 MB
% 10.53/2.47 % (3522238)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3641337351:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 16.95/3.38 % (3522238)Refutation not found, incomplete strategy
% 16.95/3.38 % (3522238)------------------------------
% 16.95/3.38 % (3522238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522238)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522238)Termination reason: Refutation not found, incomplete strategy
% 16.95/3.38 % (3522238)Time elapsed: 0.001 s
% 16.95/3.38 % (3522238)Peak memory usage: 87 MB
% 16.95/3.38 % (3522236)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1240979976:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 16.95/3.38 % (3522243)lrs+10_64_to=lpo:sil=8000:random_seed=2023016007:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 16.95/3.38 % (3522231)------------------------------
% 16.95/3.38 % (3522231)------------------------------
% 16.95/3.38 % (3522243)Instruction limit reached!
% 16.95/3.38 % (3522243)------------------------------
% 16.95/3.38 % (3522243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522243)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522243)Termination reason: Instruction limit
% 16.95/3.38 % (3522243)Termination phase: Saturation
% 16.95/3.38 % (3522243)Time elapsed: 0.078 s
% 16.95/3.38 % (3522243)Peak memory usage: 89 MB
% 16.95/3.38 % (3522243)Instructions burned: 126 (million)
% 16.95/3.38 % (3522236)Instruction limit reached!
% 16.95/3.38 % (3522236)------------------------------
% 16.95/3.38 % (3522236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522236)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522236)Termination reason: Instruction limit
% 16.95/3.38 % (3522236)Termination phase: Saturation
% 16.95/3.38 % (3522236)Time elapsed: 0.109 s
% 16.95/3.38 % (3522236)Peak memory usage: 87 MB
% 16.95/3.38 % (3522236)Instructions burned: 189 (million)
% 16.95/3.38 % (3522312)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1780455211:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 16.95/3.38 % (3522312)Instruction limit reached!
% 16.95/3.38 % (3522312)------------------------------
% 16.95/3.38 % (3522312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522312)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522312)Termination reason: Instruction limit
% 16.95/3.38 % (3522312)Termination phase: Saturation
% 16.95/3.38 % (3522312)Time elapsed: 0.037 s
% 16.95/3.38 % (3522312)Peak memory usage: 87 MB
% 16.95/3.38 % (3522312)Instructions burned: 198 (million)
% 16.95/3.38 % (3522316)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=795885668:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 16.95/3.38 % (3522238)------------------------------
% 16.95/3.38 % (3522238)------------------------------
% 16.95/3.38 % (3522320)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1394157285:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 16.95/3.38 % (3522345)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=1317525738:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 16.95/3.38 % (3522316)Instruction limit reached!
% 16.95/3.38 % (3522316)------------------------------
% 16.95/3.38 % (3522316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522316)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522316)Termination reason: Instruction limit
% 16.95/3.38 % (3522316)Termination phase: Saturation
% 16.95/3.38 % (3522316)Time elapsed: 0.107 s
% 16.95/3.38 % (3522316)Peak memory usage: 90 MB
% 16.95/3.38 % (3522316)Instructions burned: 158 (million)
% 16.95/3.38 % (3522345)Instruction limit reached!
% 16.95/3.38 % (3522345)------------------------------
% 16.95/3.38 % (3522345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522345)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522345)Termination reason: Instruction limit
% 16.95/3.38 % (3522345)Termination phase: Saturation
% 16.95/3.38 % (3522345)Time elapsed: 0.032 s
% 16.95/3.38 % (3522345)Peak memory usage: 88 MB
% 16.95/3.38 % (3522345)Instructions burned: 108 (million)
% 16.95/3.38 % (3522351)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3277452691:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 16.95/3.38 % (3522351)Refutation not found, incomplete strategy
% 16.95/3.38 % (3522351)------------------------------
% 16.95/3.38 % (3522351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522351)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522351)Termination reason: Refutation not found, incomplete strategy
% 16.95/3.38 % (3522351)Time elapsed: 0.001 s
% 16.95/3.38 % (3522351)Peak memory usage: 87 MB
% 16.95/3.38 % (3522354)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=829516701:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 16.95/3.38 % (3522353)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3275059007:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 16.95/3.38 % (3522351)------------------------------
% 16.95/3.38 % (3522351)------------------------------
% 16.95/3.38 % (3522353)Instruction limit reached!
% 16.95/3.38 % (3522353)------------------------------
% 16.95/3.38 % (3522353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522353)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522353)Termination reason: Instruction limit
% 16.95/3.38 % (3522353)Termination phase: Saturation
% 16.95/3.38 % (3522353)Time elapsed: 0.139 s
% 16.95/3.38 % (3522353)Peak memory usage: 89 MB
% 16.95/3.38 % (3522353)Instructions burned: 242 (million)
% 16.95/3.38 % (3522405)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3572200429:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 16.95/3.38 % (3522406)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=287596141:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 16.95/3.38 % (3522405)Instruction limit reached!
% 16.95/3.38 % (3522405)------------------------------
% 16.95/3.38 % (3522405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522405)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522405)Termination reason: Instruction limit
% 16.95/3.38 % (3522405)Termination phase: Saturation
% 16.95/3.38 % (3522405)Time elapsed: 0.049 s
% 16.95/3.38 % (3522405)Peak memory usage: 87 MB
% 16.95/3.38 % (3522405)Instructions burned: 137 (million)
% 16.95/3.38 % (3522409)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2899922229:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 16.95/3.38 % (3522406)Instruction limit reached!
% 16.95/3.38 % (3522406)------------------------------
% 16.95/3.38 % (3522406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522406)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522406)Termination reason: Instruction limit
% 16.95/3.38 % (3522406)Termination phase: Saturation
% 16.95/3.38 % (3522406)Time elapsed: 0.295 s
% 16.95/3.38 % (3522406)Peak memory usage: 91 MB
% 16.95/3.38 % (3522406)Instructions burned: 501 (million)
% 16.95/3.38 % (3522409)Instruction limit reached!
% 16.95/3.38 % (3522409)------------------------------
% 16.95/3.38 % (3522409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522409)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522409)Termination reason: Instruction limit
% 16.95/3.38 % (3522409)Termination phase: Saturation
% 16.95/3.38 % (3522409)Time elapsed: 0.121 s
% 16.95/3.38 % (3522409)Peak memory usage: 91 MB
% 16.95/3.38 % (3522409)Instructions burned: 191 (million)
% 16.95/3.38 % (3522411)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=323920327:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 16.95/3.38 % (3522412)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=274734999:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 16.95/3.38 % (3522412)Instruction limit reached!
% 16.95/3.38 % (3522412)------------------------------
% 16.95/3.38 % (3522412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522412)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522412)Termination reason: Instruction limit
% 16.95/3.38 % (3522412)Termination phase: Saturation
% 16.95/3.38 % (3522412)Time elapsed: 0.072 s
% 16.95/3.38 % (3522412)Peak memory usage: 89 MB
% 16.95/3.38 % (3522412)Instructions burned: 156 (million)
% 16.95/3.38 % (3522411)Instruction limit reached!
% 16.95/3.38 % (3522411)------------------------------
% 16.95/3.38 % (3522411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522411)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522411)Termination reason: Instruction limit
% 16.95/3.38 % (3522411)Termination phase: Saturation
% 16.95/3.38 % (3522411)Time elapsed: 0.171 s
% 16.95/3.38 % (3522411)Peak memory usage: 91 MB
% 16.95/3.38 % (3522411)Instructions burned: 264 (million)
% 16.95/3.38 % (3522415)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=1148696785:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 16.95/3.38 % (3522416)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=287619966:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 16.95/3.38 % (3522416)Instruction limit reached!
% 16.95/3.38 % (3522416)------------------------------
% 16.95/3.38 % (3522416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522416)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522416)Termination reason: Instruction limit
% 16.95/3.38 % (3522416)Termination phase: Saturation
% 16.95/3.38 % (3522416)Time elapsed: 0.244 s
% 16.95/3.38 % (3522416)Peak memory usage: 88 MB
% 16.95/3.38 % (3522416)Instructions burned: 539 (million)
% 16.95/3.38 % (3522320)First to succeed.
% 16.95/3.38 % (3522320)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3522202"
% 16.95/3.38 % (3522419)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=822400724:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 16.95/3.38 % (3522419)Instruction limit reached!
% 16.95/3.38 % (3522419)------------------------------
% 16.95/3.38 % (3522419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.38 % (3522419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.38 % (3522419)CaDiCaL version: 2.1.3
% 16.95/3.38 % (3522419)Termination reason: Instruction limit
% 16.95/3.38 % (3522419)Termination phase: Saturation
% 16.95/3.38 % (3522419)Time elapsed: 0.105 s
% 16.95/3.38 % (3522419)Peak memory usage: 88 MB
% 16.95/3.38 % (3522419)Instructions burned: 181 (million)
% 16.95/3.38 % (3522320)Refutation found. Thanks to Tanya!
% 16.95/3.38 % SZS status Unsatisfiable for theBenchmark
% 16.95/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 17.69/3.57 % (3522320)------------------------------
% 17.69/3.57 % (3522320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.69/3.57 % (3522320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.69/3.57 % (3522320)CaDiCaL version: 2.1.3
% 17.69/3.57 % (3522320)Termination reason: Refutation
% 17.69/3.57 % (3522320)Time elapsed: 1.579 s
% 17.69/3.57 % (3522320)Peak memory usage: 143 MB
% 17.69/3.57 % (3522320)Instructions burned: 2504 (million)
% 17.69/3.57 % (3522320)------------------------------
% 17.69/3.57 % (3522320)------------------------------
% 17.69/3.57 % (3522202)Success in time 2.397 s
% 17.69/3.57 % Vampire exiting
%------------------------------------------------------------------------------