%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL016-1 : 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 : n014.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 11:50:56 AM UTC 2026
% Result : Unsatisfiable 12.26s 2.63s
% Output : Refutation 13.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 7
% Syntax : Number of formulae : 126 ( 10 unt; 4 def)
% Number of atoms : 390 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 532 ( 268 ~; 260 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 317 ( 0 sgn 317 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yro) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(b,c),a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yrm) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f4,f1]) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(X1) ),
inference(resolution,[],[f5,f1]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X3))))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X3,X2)) ),
inference(resolution,[],[f7,f2]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X3,X2)) ),
inference(resolution,[],[f7,f4]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X3),X2),X1),X3))
| is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f27,f4]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),X1),X0),X3))
| is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f28,f2]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X3),X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X3,X0)) ),
inference(resolution,[],[f31,f5]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X3,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X3)) ),
inference(resolution,[],[f39,f5]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X3,X1))
| ~ is_a_theorem(equivalent(X2,X3)) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f45,definition,
( spl0_5
<=> ! [X2,X1,X3] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(equivalent(X3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f46,plain,
( ! [X2,X3,X1] :
( ~ is_a_theorem(equivalent(X3,X1))
| ~ is_a_theorem(equivalent(X2,X3))
| is_a_theorem(equivalent(X1,X2)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,definition,
( spl0_6
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f49,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f48,f45]) ).
fof(f52,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X0))
| ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X3,X2)) )
| ~ spl0_5 ),
inference(resolution,[],[f46,f4]) ).
fof(f63,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| ~ is_a_theorem(equivalent(X2,X3))
| is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,X3)) )
| ~ spl0_5 ),
inference(resolution,[],[f52,f34]) ).
fof(f70,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| ~ is_a_theorem(equivalent(X2,X3))
| is_a_theorem(X1) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f72,definition,
( spl0_7
<=> ! [X2,X3] : ~ is_a_theorem(equivalent(X2,X3)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,plain,
( ! [X2,X3] : ~ is_a_theorem(equivalent(X2,X3))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_8
<=> ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| is_a_theorem(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f76,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| is_a_theorem(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( spl0_7
| spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f70,f45,f75,f72]) ).
fof(f78,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f49,f2]) ).
fof(f81,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f83,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f73,f2]) ).
fof(f86,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f89,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X3,equivalent(equivalent(X3,X2),X1)),X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) )
| ~ spl0_5 ),
inference(resolution,[],[f46,f2]) ).
fof(f97,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X3,equivalent(equivalent(X3,X2),X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f89,f1]) ).
fof(f112,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,X2)) )
| ~ spl0_5 ),
inference(resolution,[],[f97,f4]) ).
fof(f116,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5 ),
inference(resolution,[],[f112,f2]) ).
fof(f121,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0),X2))
| ~ spl0_5 ),
inference(resolution,[],[f116,f2]) ).
fof(f128,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X0,X3)) )
| ~ spl0_5 ),
inference(resolution,[],[f121,f39]) ).
fof(f135,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X0))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5 ),
inference(resolution,[],[f128,f121]) ).
fof(f141,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0)))
| ~ spl0_5 ),
inference(resolution,[],[f135,f121]) ).
fof(f142,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,X2)) )
| ~ spl0_5 ),
inference(resolution,[],[f135,f5]) ).
fof(f149,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X2))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5 ),
inference(resolution,[],[f141,f27]) ).
fof(f150,plain,
( ! [X0] : is_a_theorem(equivalent(X0,X0))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f141,f76]) ).
fof(f154,plain,
( ! [X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X1),X0))
| ~ is_a_theorem(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f141,f1]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f150,f46]) ).
fof(f183,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X3,equivalent(equivalent(X3,X2),X1))))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) )
| ~ spl0_5 ),
inference(resolution,[],[f142,f2]) ).
fof(f188,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X2),equivalent(X2,X1)))
| ~ spl0_5 ),
inference(resolution,[],[f183,f141]) ).
fof(f274,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1)))
| ~ spl0_5 ),
inference(resolution,[],[f188,f135]) ).
fof(f275,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0))
| ~ spl0_5 ),
inference(resolution,[],[f188,f149]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X0))
| is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X2)) )
| ~ spl0_5 ),
inference(resolution,[],[f274,f28]) ).
fof(f304,plain,
( ! [X2,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),X2))
| is_a_theorem(X1) )
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f294,f150]) ).
fof(f310,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f275,f157]) ).
fof(f368,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f304,f121]) ).
fof(f382,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f368,f157]) ).
fof(f383,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X1)))
| is_a_theorem(equivalent(X2,X0)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f368,f46]) ).
fof(f385,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
| is_a_theorem(X1) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f368,f1]) ).
fof(f456,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f385,f89]) ).
fof(f467,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X1,X2)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f456,f4]) ).
fof(f470,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f456,f382]) ).
fof(f484,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f470,f135]) ).
fof(f506,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f484,f157]) ).
fof(f524,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f506,f116]) ).
fof(f541,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X2))))
| is_a_theorem(equivalent(X2,X0)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f524,f46]) ).
fof(f663,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| is_a_theorem(equivalent(equivalent(X1,X0),equivalent(X3,X2))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f467,f183]) ).
fof(f664,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X3,X2)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f467,f27]) ).
fof(f714,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(equivalent(X2,X2),X1)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f663,f310]) ).
fof(f838,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2))))
| is_a_theorem(equivalent(X1,X2)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f664,f470]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
| is_a_theorem(equivalent(equivalent(X2,X2),X1)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f664,f310]) ).
fof(f881,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X2),X1))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f838,f4]) ).
fof(f904,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),X3)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X2))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f881,f89]) ).
fof(f909,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X0))),X2))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f881,f2]) ).
fof(f934,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,equivalent(X1,X0))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f904,f383]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| is_a_theorem(equivalent(equivalent(X2,X2),X1)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f904,f847]) ).
fof(f988,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X0),X1)))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f909,f157]) ).
fof(f1013,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X3,equivalent(equivalent(X1,X3),X2)))
| is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X2))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f943,f904]) ).
fof(f1121,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(equivalent(X2,X2),X1)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f714,f149]) ).
fof(f1156,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),equivalent(X2,X0)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1121,f663]) ).
fof(f1602,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X3,equivalent(X2,equivalent(X1,X3))))
| is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X2))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1013,f904]) ).
fof(f1633,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X1,equivalent(X3,X3))))
| is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X2))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1602,f154]) ).
fof(f1740,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X2,X0)))
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f541,f154]) ).
fof(f1756,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X1),X0),equivalent(X2,X2)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1740,f2]) ).
fof(f1773,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X0))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1756,f128]) ).
fof(f1876,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X2),X1))
| is_a_theorem(equivalent(equivalent(X0,X1),X0)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1773,f467]) ).
fof(f1948,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X2))),X0))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1876,f2]) ).
fof(f2041,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X2))))
| is_a_theorem(X0) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1948,f1]) ).
fof(f2072,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),equivalent(equivalent(X2,X2),X0)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2041,f1156]) ).
fof(f2118,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X2)),equivalent(X1,X0)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2072,f663]) ).
fof(f2167,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),equivalent(equivalent(X0,X2),X2)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2118,f2041]) ).
fof(f2204,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X1),X2),equivalent(X0,X2)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2167,f456]) ).
fof(f2392,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,X2),X2),X1)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2204,f157]) ).
fof(f2405,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X2,X1)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2392,f663]) ).
fof(f2517,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X2,X0))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2405,f157]) ).
fof(f2530,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2517,f664]) ).
fof(f2573,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X2,X1),X0)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2530,f2]) ).
fof(f2600,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X0),X1))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2530,f988]) ).
fof(f2650,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2573,f1]) ).
fof(f2670,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,X2),X0),X2)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2650,f121]) ).
fof(f2821,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X1,X2)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2600,f157]) ).
fof(f2903,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X2),X0),X1)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2821,f149]) ).
fof(f3046,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f2903,f664]) ).
fof(f3104,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3046,f904]) ).
fof(f3158,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3104,f2517]) ).
fof(f3483,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X1,X0),X2)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3158,f663]) ).
fof(f3505,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),equivalent(X0,X2))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3158,f934]) ).
fof(f3658,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2))))
| is_a_theorem(equivalent(X2,X1)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3483,f664]) ).
fof(f3957,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(X1,X2),equivalent(X2,X1))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3505,f1633]) ).
fof(f3959,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))
| is_a_theorem(equivalent(X1,X2)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3505,f27]) ).
fof(f4001,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X3)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X2))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3959,f89]) ).
fof(f4070,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),equivalent(X2,X2))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f3957,f934]) ).
fof(f4301,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,X0),X2),X2)))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f4070,f183]) ).
fof(f4366,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f4301,f3658]) ).
fof(f4409,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X0),X2))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f4366,f3104]) ).
fof(f4447,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X2)))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f4409,f112]) ).
fof(f4993,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,equivalent(X0,X1))) )
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f4001,f4447]) ).
fof(f5194,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f4993,f2670]) ).
fof(f5273,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0))))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f5194,f3104]) ).
fof(f5369,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f5273,f3]) ).
fof(f5420,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f5369]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f77]) ).
cnf(s5,plain,
~ spl0_6,
inference(sat_conversion,[],[f81]) ).
cnf(s7,plain,
~ spl0_7,
inference(sat_conversion,[],[f86]) ).
cnf(s8,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f5420]) ).
cnf(s10,plain,
( ~ spl0_5
| spl0_8 ),
inference(rat,[],[s4,s7]) ).
cnf(s11,plain,
spl0_5,
inference(rat,[],[s3,s5]) ).
cnf(s12,plain,
~ spl0_8,
inference(rat,[],[s8,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s10,s12,s11]) ).
fof(f5421,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 % Computer : n014.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun Sep 27 15:17:16 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 11.73/2.59 % (923922)Input is clausal, will run a generic CNF schedule.
% 11.73/2.59 % (923930)lrs+10_1_sil=8000:sp=occurrence:random_seed=3744614293:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.73/2.59 % (923930)Instruction limit reached!
% 11.73/2.59 % (923930)------------------------------
% 11.73/2.59 % (923930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.59 % (923930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.59 % (923930)CaDiCaL version: 2.1.3
% 11.73/2.59 % (923930)Termination reason: Instruction limit
% 11.73/2.59 % (923930)Termination phase: Saturation
% 11.73/2.59 % (923930)Time elapsed: 0.037 s
% 11.73/2.59 % (923930)Peak memory usage: 88 MB
% 11.73/2.59 % (923930)Instructions burned: 108 (million)
% 11.73/2.59 % (923931)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3553043805:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.73/2.59 % (923932)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1899046499:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.73/2.59 % (923933)dis-21_1_sil=8000:lcm=predicate:random_seed=3302028611: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)
% 11.73/2.59 % (923928)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2747894554:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.73/2.59 % (923929)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1812274262:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.73/2.59 % (923927)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=3060077199:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.73/2.59 % (923931)Instruction limit reached!
% 11.73/2.59 % (923931)------------------------------
% 11.73/2.59 % (923931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.59 % (923931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.59 % (923931)CaDiCaL version: 2.1.3
% 11.73/2.59 % (923931)Termination reason: Instruction limit
% 11.73/2.59 % (923931)Termination phase: Saturation
% 11.73/2.59 % (923931)Time elapsed: 0.071 s
% 11.73/2.59 % (923931)Peak memory usage: 88 MB
% 11.73/2.59 % (923931)Instructions burned: 116 (million)
% 11.73/2.59 % (923933)Instruction limit reached!
% 11.73/2.59 % (923933)------------------------------
% 11.73/2.59 % (923933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.59 % (923933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.59 % (923933)CaDiCaL version: 2.1.3
% 11.73/2.59 % (923933)Termination reason: Instruction limit
% 11.73/2.59 % (923933)Termination phase: Saturation
% 11.73/2.59 % (923933)Time elapsed: 0.073 s
% 11.73/2.59 % (923933)Peak memory usage: 88 MB
% 11.73/2.59 % (923933)Instructions burned: 117 (million)
% 11.73/2.59 % (923935)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=4114661089:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.73/2.59 % (923935)Refutation not found, incomplete strategy
% 11.73/2.59 % (923935)------------------------------
% 11.73/2.59 % (923935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.59 % (923935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.59 % (923935)CaDiCaL version: 2.1.3
% 11.73/2.59 % (923935)Termination reason: Refutation not found, incomplete strategy
% 11.73/2.59 % (923935)Time elapsed: 0.0000 s
% 11.73/2.59 % (923935)Peak memory usage: 87 MB
% 11.73/2.59 % (923932)Instruction limit reached!
% 11.73/2.59 % (923932)------------------------------
% 11.73/2.59 % (923932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.59 % (923932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.59 % (923932)CaDiCaL version: 2.1.3
% 11.73/2.59 % (923932)Termination reason: Instruction limit
% 11.73/2.59 % (923932)Termination phase: Saturation
% 11.73/2.59 % (923932)Time elapsed: 0.122 s
% 11.73/2.59 % (923932)Peak memory usage: 89 MB
% 11.73/2.59 % (923932)Instructions burned: 180 (million)
% 11.73/2.59 % (923943)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2611384343:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.26/2.63 % (923942)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3103006156: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)
% 12.26/2.63 % (923943)Refutation not found, incomplete strategy
% 12.26/2.63 % (923943)------------------------------
% 12.26/2.63 % (923943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923943)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923943)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.63 % (923943)Time elapsed: 0.001 s
% 12.26/2.63 % (923943)Peak memory usage: 87 MB
% 12.26/2.63 % (923935)------------------------------
% 12.26/2.63 % (923935)------------------------------
% 12.26/2.63 % (923945)lrs+10_64_to=lpo:sil=8000:random_seed=1877419633:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 12.26/2.63 % (923942)Instruction limit reached!
% 12.26/2.63 % (923942)------------------------------
% 12.26/2.63 % (923942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923942)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923942)Termination reason: Instruction limit
% 12.26/2.63 % (923942)Termination phase: Saturation
% 12.26/2.63 % (923942)Time elapsed: 0.115 s
% 12.26/2.63 % (923942)Peak memory usage: 90 MB
% 12.26/2.63 % (923942)Instructions burned: 191 (million)
% 12.26/2.63 % (923945)Instruction limit reached!
% 12.26/2.63 % (923945)------------------------------
% 12.26/2.63 % (923945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923945)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923945)Termination reason: Instruction limit
% 12.26/2.63 % (923945)Termination phase: Saturation
% 12.26/2.63 % (923945)Time elapsed: 0.083 s
% 12.26/2.63 % (923945)Peak memory usage: 88 MB
% 12.26/2.63 % (923945)Instructions burned: 126 (million)
% 12.26/2.63 % (923948)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=594253888:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.26/2.63 % (923948)Instruction limit reached!
% 12.26/2.63 % (923948)------------------------------
% 12.26/2.63 % (923948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923948)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923948)Termination reason: Instruction limit
% 12.26/2.63 % (923948)Termination phase: Saturation
% 12.26/2.63 % (923948)Time elapsed: 0.068 s
% 12.26/2.63 % (923948)Peak memory usage: 89 MB
% 12.26/2.63 % (923948)Instructions burned: 197 (million)
% 12.26/2.63 % (923943)------------------------------
% 12.26/2.63 % (923943)------------------------------
% 12.26/2.63 % (923950)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=933065853:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.26/2.63 % (923951)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=148245950:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.26/2.63 % (923954)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=3177215250:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.26/2.63 % (923954)Instruction limit reached!
% 12.26/2.63 % (923954)------------------------------
% 12.26/2.63 % (923954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923954)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923954)Termination reason: Instruction limit
% 12.26/2.63 % (923954)Termination phase: Saturation
% 12.26/2.63 % (923954)Time elapsed: 0.033 s
% 12.26/2.63 % (923954)Peak memory usage: 88 MB
% 12.26/2.63 % (923954)Instructions burned: 108 (million)
% 12.26/2.63 % (923950)Instruction limit reached!
% 12.26/2.63 % (923950)------------------------------
% 12.26/2.63 % (923950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923950)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923950)Termination reason: Instruction limit
% 12.26/2.63 % (923950)Termination phase: Saturation
% 12.26/2.63 % (923950)Time elapsed: 0.109 s
% 12.26/2.63 % (923950)Peak memory usage: 90 MB
% 12.26/2.63 % (923950)Instructions burned: 157 (million)
% 12.26/2.63 % (923955)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3991253515:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 12.26/2.63 % (923955)Refutation not found, incomplete strategy
% 12.26/2.63 % (923955)------------------------------
% 12.26/2.63 % (923955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923955)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923955)Termination reason: Refutation not found, incomplete strategy
% 12.26/2.63 % (923955)Time elapsed: 0.001 s
% 12.26/2.63 % (923955)Peak memory usage: 87 MB
% 12.26/2.63 % (923960)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2484240224:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 12.26/2.63 % (923959)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1190103330:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.26/2.63 % (923955)------------------------------
% 12.26/2.63 % (923955)------------------------------
% 12.26/2.63 % (923959)Instruction limit reached!
% 12.26/2.63 % (923959)------------------------------
% 12.26/2.63 % (923959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923959)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923959)Termination reason: Instruction limit
% 12.26/2.63 % (923959)Termination phase: Saturation
% 12.26/2.63 % (923959)Time elapsed: 0.131 s
% 12.26/2.63 % (923959)Peak memory usage: 90 MB
% 12.26/2.63 % (923959)Instructions burned: 243 (million)
% 12.26/2.63 % (923964)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3367588928:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 12.26/2.63 % (923965)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1297873283:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.26/2.63 % (923964)Instruction limit reached!
% 12.26/2.63 % (923964)------------------------------
% 12.26/2.63 % (923964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923964)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923964)Termination reason: Instruction limit
% 12.26/2.63 % (923964)Termination phase: Saturation
% 12.26/2.63 % (923964)Time elapsed: 0.086 s
% 12.26/2.63 % (923964)Peak memory usage: 89 MB
% 12.26/2.63 % (923964)Instructions burned: 134 (million)
% 12.26/2.63 % (923968)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3438315693:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 12.26/2.63 % (923965)Instruction limit reached!
% 12.26/2.63 % (923965)------------------------------
% 12.26/2.63 % (923965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923965)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923965)Termination reason: Instruction limit
% 12.26/2.63 % (923965)Termination phase: Saturation
% 12.26/2.63 % (923965)Time elapsed: 0.283 s
% 12.26/2.63 % (923965)Peak memory usage: 91 MB
% 12.26/2.63 % (923965)Instructions burned: 500 (million)
% 12.26/2.63 % (923968)Instruction limit reached!
% 12.26/2.63 % (923968)------------------------------
% 12.26/2.63 % (923968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.26/2.63 % (923968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.26/2.63 % (923968)CaDiCaL version: 2.1.3
% 12.26/2.63 % (923968)Termination reason: Instruction limit
% 12.26/2.63 % (923968)Termination phase: Saturation
% 12.26/2.63 % (923968)Time elapsed: 0.127 s
% 12.26/2.63 % (923968)Peak memory usage: 89 MB
% 12.26/2.63 % (923968)Instructions burned: 192 (million)
% 12.26/2.63 % (923951)First to succeed.
% 12.26/2.63 % (923951)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-923922"
% 12.26/2.63 % (923970)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4137418508:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 12.26/2.63 % (923971)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1128958152:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 12.26/2.63 % (923951)Refutation found. Thanks to Tanya!
% 12.26/2.63 % SZS status Unsatisfiable for theBenchmark
% 12.26/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 13.06/2.83 % (923951)------------------------------
% 13.06/2.83 % (923951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.06/2.83 % (923951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.06/2.83 % (923951)CaDiCaL version: 2.1.3
% 13.06/2.83 % (923951)Termination reason: Refutation
% 13.06/2.83 % (923951)Time elapsed: 0.889 s
% 13.06/2.83 % (923951)Peak memory usage: 137 MB
% 13.06/2.83 % (923951)Instructions burned: 1884 (million)
% 13.06/2.83 % (923951)------------------------------
% 13.06/2.83 % (923951)------------------------------
% 13.06/2.83 % (923922)Success in time 1.756 s
% 13.06/2.83 % Vampire exiting
%------------------------------------------------------------------------------