%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL282-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:51:52 AM UTC 2026
% Result : Unsatisfiable 24.11s 4.60s
% Output : Refutation 25.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 131 ( 45 unt; 9 def)
% Number of atoms : 248 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 229 ( 112 ~; 108 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 183 ( 0 sgn 183 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(or(p,and(q,r)),and(or(p,q),or(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
~ theorem(not(or(not(or(not(or(p,not(or(not(q),not(r))))),not(or(not(or(p,q)),not(or(p,r)))))),not(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r))))))))),
inference(definition_unfolding,[],[f11,f12,f9,f9]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f16,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f18,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f19,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f20,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f15,f7]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f18,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f19,f22]) ).
fof(f26,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f19,f20]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f19,f21]) ).
fof(f29,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f27,f22]) ).
fof(f30,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(resolution,[],[f27,f20]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f26,f19]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f33,f22]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) ),
inference(resolution,[],[f33,f26]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f33,f30]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) ),
inference(resolution,[],[f33,f20]) ).
fof(f48,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f33,f24]) ).
fof(f55,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f41,f23]) ).
fof(f60,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(resolution,[],[f55,f27]) ).
fof(f75,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f48,f55]) ).
fof(f82,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[],[f75,f25]) ).
fof(f83,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f82,f33]) ).
fof(f86,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f42,f22]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ),
inference(resolution,[],[f42,f20]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ),
inference(resolution,[],[f42,f21]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,X3)),X2))
| ~ theorem(or(not(X3),X1)) ),
inference(resolution,[],[f89,f19]) ).
fof(f121,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f86,f48]) ).
fof(f125,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f121,f97]) ).
fof(f131,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f29,f33]) ).
fof(f132,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f29,f19]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(X3,X2))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f91,f19]) ).
fof(f157,plain,
! [X0,X1] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f83,f25]) ).
fof(f180,plain,
! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) ),
inference(resolution,[],[f132,f25]) ).
fof(f181,plain,
! [X2,X0,X1] :
( theorem(or(X1,not(or(not(X2),not(X0)))))
| ~ theorem(X0)
| ~ theorem(or(X1,X2)) ),
inference(resolution,[],[f180,f33]) ).
fof(f191,definition,
( spl0_2
<=> theorem(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f193,plain,
( ~ theorem(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r))))))
| spl0_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f139,f22]) ).
fof(f240,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[],[f60,f41]) ).
fof(f244,plain,
! [X0,X1] : theorem(or(or(not(X0),X1),X0)),
inference(resolution,[],[f60,f25]) ).
fof(f276,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[],[f240,f27]) ).
fof(f278,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)),
inference(resolution,[],[f240,f25]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X3,X2)))
| ~ theorem(X0) ),
inference(resolution,[],[f44,f19]) ).
fof(f337,definition,
( spl0_3
<=> ! [X2] : ~ theorem(X2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f338,plain,
( ! [X2] : ~ theorem(X2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f343,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f338,f22]) ).
fof(f389,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X1,X3)))
| ~ theorem(X0) ),
inference(resolution,[],[f43,f19]) ).
fof(f464,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,X2)))
| ~ theorem(or(X0,or(X3,X1))) ),
inference(resolution,[],[f447,f21]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X3,or(not(or(X0,X2)),X4)))
| theorem(or(X3,or(X1,X4)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f464,f33]) ).
fof(f629,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ theorem(X2) ),
inference(resolution,[],[f280,f276]) ).
fof(f631,definition,
( spl0_6
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f632,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f629,f631,f337]) ).
fof(f645,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(not(not(X1)),X0)))
| ~ spl0_6 ),
inference(resolution,[],[f632,f41]) ).
fof(f704,plain,
! [X2,X3,X0,X1] :
( theorem(or(X1,or(not(or(X0,X3)),X2)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f125,f27]) ).
fof(f804,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X1),X2))
| ~ theorem(X0)
| theorem(not(or(not(X2),not(X0))))
| ~ theorem(X1) ),
inference(resolution,[],[f181,f19]) ).
fof(f819,definition,
( spl0_16
<=> theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f821,plain,
( ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q)))
| spl0_16 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f850,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,not(X1))),or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f131,f195]) ).
fof(f1043,plain,
( ! [X0,X1] : theorem(or(not(not(X0)),or(not(or(X1,X0)),X1)))
| ~ spl0_6 ),
inference(resolution,[],[f645,f27]) ).
fof(f1179,plain,
! [X2,X0,X1] :
( theorem(not(or(not(or(X1,X2)),not(X0))))
| ~ theorem(X0)
| ~ theorem(or(X2,X1)) ),
inference(resolution,[],[f804,f22]) ).
fof(f1349,plain,
( ! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X1,X2)))
| ~ theorem(or(X2,or(X1,X0))) )
| ~ spl0_6 ),
inference(resolution,[],[f492,f1043]) ).
fof(f1455,plain,
( ! [X2,X0,X1] :
( theorem(or(not(not(X2)),or(X0,X1)))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_6 ),
inference(resolution,[],[f1349,f41]) ).
fof(f1908,plain,
( ~ theorem(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r))))))
| ~ theorem(or(not(or(not(or(p,q)),not(or(p,r)))),not(or(p,not(or(not(q),not(r))))))) ),
inference(resolution,[],[f1179,f13]) ).
fof(f1910,definition,
( spl0_54
<=> theorem(or(not(or(not(or(p,q)),not(or(p,r)))),not(or(p,not(or(not(q),not(r))))))) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f1912,plain,
( ~ theorem(or(not(or(not(or(p,q)),not(or(p,r)))),not(or(p,not(or(not(q),not(r)))))))
| spl0_54 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1913,plain,
( ~ spl0_54
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1908,f191,f1910]) ).
fof(f1916,plain,
( ~ theorem(or(p,or(not(or(not(q),not(r))),or(not(or(p,q)),not(or(p,r))))))
| spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f193,f1455]) ).
fof(f1975,plain,
( ~ theorem(or(not(not(r)),or(p,or(not(or(p,q)),not(or(p,r))))))
| ~ theorem(or(not(not(q)),or(p,or(not(or(p,q)),not(or(p,r))))))
| spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f1916,f704]) ).
fof(f1980,definition,
( spl0_64
<=> theorem(or(not(not(q)),or(p,or(not(or(p,q)),not(or(p,r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f1982,plain,
( ~ theorem(or(not(not(q)),or(p,or(not(or(p,q)),not(or(p,r))))))
| spl0_64 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1984,definition,
( spl0_65
<=> theorem(or(not(not(r)),or(p,or(not(or(p,q)),not(or(p,r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f1986,plain,
( ~ theorem(or(not(not(r)),or(p,or(not(or(p,q)),not(or(p,r))))))
| spl0_65 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f1987,plain,
( ~ spl0_64
| ~ spl0_65
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1975,f631,f191,f1984,f1980]) ).
fof(f2085,plain,
( ~ theorem(or(or(not(or(p,q)),not(or(p,r))),or(p,r)))
| ~ spl0_6
| spl0_65 ),
inference(resolution,[],[f1986,f1349]) ).
fof(f2092,plain,
( $false
| ~ spl0_6
| spl0_65 ),
inference(forward_subsumption_resolution,[],[f2085,f278]) ).
fof(f2093,plain,
( ~ spl0_6
| spl0_65 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2097,plain,
( ~ theorem(or(or(not(or(p,q)),not(or(p,r))),or(p,q)))
| ~ spl0_6
| spl0_64 ),
inference(resolution,[],[f1982,f1349]) ).
fof(f2105,plain,
( $false
| ~ spl0_6
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f2097,f244]) ).
fof(f2106,plain,
( ~ spl0_6
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f2105]) ).
fof(f2177,plain,
( ~ theorem(or(not(not(or(p,q))),not(or(p,not(or(not(q),not(r)))))))
| ~ theorem(or(not(not(or(p,r))),not(or(p,not(or(not(q),not(r)))))))
| spl0_54 ),
inference(resolution,[],[f1912,f125]) ).
fof(f2179,definition,
( spl0_87
<=> theorem(or(not(not(or(p,r))),not(or(p,not(or(not(q),not(r))))))) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f2181,plain,
( ~ theorem(or(not(not(or(p,r))),not(or(p,not(or(not(q),not(r)))))))
| spl0_87 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2183,definition,
( spl0_88
<=> theorem(or(not(not(or(p,q))),not(or(p,not(or(not(q),not(r))))))) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f2185,plain,
( ~ theorem(or(not(not(or(p,q))),not(or(p,not(or(not(q),not(r)))))))
| spl0_88 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2186,plain,
( ~ spl0_87
| ~ spl0_88
| spl0_54 ),
inference(avatar_split_clause,[],[f2177,f1910,f2183,f2179]) ).
fof(f2257,plain,
( ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,r)))
| spl0_87 ),
inference(resolution,[],[f2181,f157]) ).
fof(f2500,plain,
( ~ theorem(or(r,or(not(q),not(r))))
| spl0_87 ),
inference(resolution,[],[f2257,f850]) ).
fof(f2509,plain,
( $false
| spl0_87 ),
inference(forward_subsumption_resolution,[],[f2500,f240]) ).
fof(f2510,plain,
spl0_87,
inference(avatar_contradiction_clause,[],[f2509]) ).
fof(f2553,plain,
( ~ theorem(or(not(or(p,not(or(not(q),not(r))))),or(p,q)))
| spl0_88 ),
inference(resolution,[],[f2185,f157]) ).
fof(f2554,plain,
( ~ spl0_16
| spl0_88 ),
inference(avatar_split_clause,[],[f2553,f2183,f819]) ).
fof(f2555,plain,
( ~ theorem(or(q,or(not(q),not(r))))
| spl0_16 ),
inference(resolution,[],[f821,f850]) ).
fof(f2564,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f2555,f60]) ).
fof(f2565,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f2564]) ).
cnf(s18,plain,
~ spl0_3,
inference(sat_conversion,[],[f389]) ).
cnf(s20,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f633]) ).
cnf(s64,plain,
( ~ spl0_2
| ~ spl0_54 ),
inference(sat_conversion,[],[f1913]) ).
cnf(s70,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_64
| ~ spl0_65 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s78,plain,
( ~ spl0_6
| spl0_65 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s81,plain,
( ~ spl0_6
| spl0_64 ),
inference(sat_conversion,[],[f2106]) ).
cnf(s91,plain,
( spl0_54
| ~ spl0_87
| ~ spl0_88 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s122,plain,
spl0_87,
inference(sat_conversion,[],[f2510]) ).
cnf(s126,plain,
( ~ spl0_16
| spl0_88 ),
inference(sat_conversion,[],[f2554]) ).
cnf(s127,plain,
spl0_16,
inference(sat_conversion,[],[f2565]) ).
cnf(s129,plain,
spl0_88,
inference(rat,[],[s126,s127]) ).
cnf(s131,plain,
spl0_54,
inference(rat,[],[s91,s129,s122]) ).
cnf(s132,plain,
~ spl0_2,
inference(rat,[],[s64,s131]) ).
cnf(s138,plain,
spl0_6,
inference(rat,[],[s20,s18]) ).
cnf(s141,plain,
spl0_64,
inference(rat,[],[s81,s138]) ).
cnf(s142,plain,
spl0_65,
inference(rat,[],[s78,s138]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s70,s142,s132,s141,s138]) ).
fof(f2567,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL282-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 15:32:54 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.47 Running first-order theorem proving
% 0.12/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.39/4.15 % (1389904)Input is clausal, will run a generic CNF schedule.
% 21.39/4.15 % (1389909)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=821941998:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 21.39/4.15 % (1389911)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2720877211:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 21.39/4.15 % (1389910)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2489582414:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 21.39/4.15 % (1389913)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3761585563:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 21.39/4.15 % (1389914)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1945359343:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 21.39/4.15 % (1389912)lrs+10_1_sil=8000:sp=occurrence:random_seed=2692529317:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 21.39/4.15 % (1389915)dis-21_1_sil=8000:lcm=predicate:random_seed=4083444002: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)
% 21.39/4.15 % (1389915)Instruction limit reached!
% 21.39/4.15 % (1389915)------------------------------
% 21.39/4.15 % (1389915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.15 % (1389915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.15 % (1389915)CaDiCaL version: 2.1.3
% 21.39/4.15 % (1389915)Termination reason: Instruction limit
% 21.39/4.15 % (1389915)Termination phase: Saturation
% 21.39/4.15 % (1389915)Time elapsed: 0.097 s
% 21.39/4.15 % (1389915)Peak memory usage: 87 MB
% 21.39/4.15 % (1389915)Instructions burned: 118 (million)
% 21.39/4.15 % (1389913)Instruction limit reached!
% 21.39/4.15 % (1389913)------------------------------
% 21.39/4.15 % (1389913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.15 % (1389913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.15 % (1389913)CaDiCaL version: 2.1.3
% 21.39/4.15 % (1389913)Termination reason: Instruction limit
% 21.39/4.15 % (1389913)Termination phase: Saturation
% 21.39/4.15 % (1389913)Time elapsed: 0.110 s
% 21.39/4.15 % (1389913)Peak memory usage: 88 MB
% 21.39/4.15 % (1389913)Instructions burned: 114 (million)
% 21.39/4.15 % (1389912)Instruction limit reached!
% 21.39/4.15 % (1389912)------------------------------
% 21.39/4.15 % (1389912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.15 % (1389912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.15 % (1389912)CaDiCaL version: 2.1.3
% 21.39/4.15 % (1389912)Termination reason: Instruction limit
% 21.39/4.15 % (1389912)Termination phase: Saturation
% 21.39/4.15 % (1389912)Time elapsed: 0.112 s
% 21.39/4.15 % (1389912)Peak memory usage: 89 MB
% 21.39/4.15 % (1389912)Instructions burned: 107 (million)
% 21.39/4.15 % (1389914)Instruction limit reached!
% 21.39/4.15 % (1389914)------------------------------
% 21.39/4.15 % (1389914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.15 % (1389914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.15 % (1389914)CaDiCaL version: 2.1.3
% 21.39/4.15 % (1389914)Termination reason: Instruction limit
% 21.39/4.15 % (1389914)Termination phase: Saturation
% 21.39/4.15 % (1389914)Time elapsed: 0.184 s
% 21.39/4.15 % (1389914)Peak memory usage: 89 MB
% 21.39/4.15 % (1389914)Instructions burned: 180 (million)
% 21.39/4.15 % (1389924)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=799576255:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 21.39/4.15 % (1389924)Refutation not found, incomplete strategy
% 21.39/4.15 % (1389924)------------------------------
% 21.39/4.15 % (1389924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.39/4.15 % (1389924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.39/4.15 % (1389924)CaDiCaL version: 2.1.3
% 21.39/4.15 % (1389924)Termination reason: Refutation not found, incomplete strategy
% 21.39/4.15 % (1389924)Time elapsed: 0.002 s
% 21.39/4.15 % (1389924)Peak memory usage: 87 MB
% 21.39/4.15 % (1389925)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3920081232:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 24.11/4.60 % (1389923)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=610979402:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 24.11/4.60 % (1389923)Refutation not found, incomplete strategy
% 24.11/4.60 % (1389923)------------------------------
% 24.11/4.60 % (1389923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389923)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389923)Termination reason: Refutation not found, incomplete strategy
% 24.11/4.60 % (1389923)Time elapsed: 0.002 s
% 24.11/4.60 % (1389923)Peak memory usage: 88 MB
% 24.11/4.60 % (1389925)Refutation not found, incomplete strategy
% 24.11/4.60 % (1389925)------------------------------
% 24.11/4.60 % (1389925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389925)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389925)Termination reason: Refutation not found, incomplete strategy
% 24.11/4.60 % (1389925)Time elapsed: 0.002 s
% 24.11/4.60 % (1389925)Peak memory usage: 88 MB
% 24.11/4.60 % (1389925)Instructions burned: 1 (million)
% 24.11/4.60 % (1389926)lrs+10_64_to=lpo:sil=8000:random_seed=1802774397:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 24.11/4.60 % (1389926)Instruction limit reached!
% 24.11/4.60 % (1389926)------------------------------
% 24.11/4.60 % (1389926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389926)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389926)Termination reason: Instruction limit
% 24.11/4.60 % (1389926)Termination phase: Saturation
% 24.11/4.60 % (1389926)Time elapsed: 0.117 s
% 24.11/4.60 % (1389926)Peak memory usage: 89 MB
% 24.11/4.60 % (1389926)Instructions burned: 126 (million)
% 24.11/4.60 % (1389924)------------------------------
% 24.11/4.60 % (1389924)------------------------------
% 24.11/4.60 % (1389925)------------------------------
% 24.11/4.60 % (1389925)------------------------------
% 24.11/4.60 % (1389923)------------------------------
% 24.11/4.60 % (1389923)------------------------------
% 24.11/4.60 % (1389931)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1791453120:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 24.11/4.60 % (1389932)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2527075032:i=157:gtg=all_2989 on theBenchmark for (2989ds/157Mi)
% 24.11/4.60 % (1389931)Instruction limit reached!
% 24.11/4.60 % (1389931)------------------------------
% 24.11/4.60 % (1389931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389931)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389931)Termination reason: Instruction limit
% 24.11/4.60 % (1389931)Termination phase: Saturation
% 24.11/4.60 % (1389931)Time elapsed: 0.193 s
% 24.11/4.60 % (1389931)Peak memory usage: 89 MB
% 24.11/4.60 % (1389931)Instructions burned: 194 (million)
% 24.11/4.60 % (1389933)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2526386022:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 24.11/4.60 % (1389934)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=3536152035:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 24.11/4.60 % (1389934)Instruction limit reached!
% 24.11/4.60 % (1389934)------------------------------
% 24.11/4.60 % (1389934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389934)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389934)Termination reason: Instruction limit
% 24.11/4.60 % (1389934)Termination phase: Saturation
% 24.11/4.60 % (1389934)Time elapsed: 0.095 s
% 24.11/4.60 % (1389934)Peak memory usage: 89 MB
% 24.11/4.60 % (1389934)Instructions burned: 106 (million)
% 24.11/4.60 % (1389932)Instruction limit reached!
% 24.11/4.60 % (1389932)------------------------------
% 24.11/4.60 % (1389932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389932)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389932)Termination reason: Instruction limit
% 24.11/4.60 % (1389932)Termination phase: Saturation
% 24.11/4.60 % (1389932)Time elapsed: 0.156 s
% 24.11/4.60 % (1389932)Peak memory usage: 91 MB
% 24.11/4.60 % (1389932)Instructions burned: 157 (million)
% 24.11/4.60 % (1389938)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3052579714:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 24.11/4.60 % (1389938)Refutation not found, incomplete strategy
% 24.11/4.60 % (1389938)------------------------------
% 24.11/4.60 % (1389938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389938)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389938)Termination reason: Refutation not found, incomplete strategy
% 24.11/4.60 % (1389938)Time elapsed: 0.002 s
% 24.11/4.60 % (1389938)Peak memory usage: 87 MB
% 24.11/4.60 % (1389940)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1749123561:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2985 on theBenchmark for (2985ds/242Mi)
% 24.11/4.60 % (1389941)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3792592207:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 24.11/4.60 % (1389940)Instruction limit reached!
% 24.11/4.60 % (1389940)------------------------------
% 24.11/4.60 % (1389940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389940)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389940)Termination reason: Instruction limit
% 24.11/4.60 % (1389940)Termination phase: Saturation
% 24.11/4.60 % (1389940)Time elapsed: 0.256 s
% 24.11/4.60 % (1389940)Peak memory usage: 90 MB
% 24.11/4.60 % (1389940)Instructions burned: 242 (million)
% 24.11/4.60 % (1389938)------------------------------
% 24.11/4.60 % (1389938)------------------------------
% 24.11/4.60 % (1389945)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3978718960:i=134:sd=2:doe=on:ss=axioms:sgt=14_2979 on theBenchmark for (2979ds/134Mi)
% 24.11/4.60 % (1389946)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3088949025:i=499:bd=all_2979 on theBenchmark for (2979ds/499Mi)
% 24.11/4.60 % (1389945)Instruction limit reached!
% 24.11/4.60 % (1389945)------------------------------
% 24.11/4.60 % (1389945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389945)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389945)Termination reason: Instruction limit
% 24.11/4.60 % (1389945)Termination phase: Saturation
% 24.11/4.60 % (1389945)Time elapsed: 0.138 s
% 24.11/4.60 % (1389945)Peak memory usage: 89 MB
% 24.11/4.60 % (1389945)Instructions burned: 134 (million)
% 24.11/4.60 % (1389949)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2853405672:i=191:fgj=on:bd=all_2975 on theBenchmark for (2975ds/191Mi)
% 24.11/4.60 % (1389946)Instruction limit reached!
% 24.11/4.60 % (1389946)------------------------------
% 24.11/4.60 % (1389946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389946)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389946)Termination reason: Instruction limit
% 24.11/4.60 % (1389946)Termination phase: Saturation
% 24.11/4.60 % (1389946)Time elapsed: 0.463 s
% 24.11/4.60 % (1389946)Peak memory usage: 93 MB
% 24.11/4.60 % (1389946)Instructions burned: 500 (million)
% 24.11/4.60 % (1389949)Instruction limit reached!
% 24.11/4.60 % (1389949)------------------------------
% 24.11/4.60 % (1389949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389949)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389949)Termination reason: Instruction limit
% 24.11/4.60 % (1389949)Termination phase: Saturation
% 24.11/4.60 % (1389949)Time elapsed: 0.215 s
% 24.11/4.60 % (1389949)Peak memory usage: 92 MB
% 24.11/4.60 % (1389949)Instructions burned: 191 (million)
% 24.11/4.60 % (1389933)First to succeed.
% 24.11/4.60 % (1389933)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1389904"
% 24.11/4.60 % (1389951)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4196433381:i=264:kws=precedence:fsr=off_2971 on theBenchmark for (2971ds/264Mi)
% 24.11/4.60 % (1389952)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3557112325:cond=on:i=156:bs=on:gtg=exists_all:er=known_2970 on theBenchmark for (2970ds/156Mi)
% 24.11/4.60 % (1389951)Instruction limit reached!
% 24.11/4.60 % (1389951)------------------------------
% 24.11/4.60 % (1389951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389951)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389951)Termination reason: Instruction limit
% 24.11/4.60 % (1389951)Termination phase: Saturation
% 24.11/4.60 % (1389951)Time elapsed: 0.247 s
% 24.11/4.60 % (1389951)Peak memory usage: 92 MB
% 24.11/4.60 % (1389951)Instructions burned: 265 (million)
% 24.11/4.60 % (1389952)Instruction limit reached!
% 24.11/4.60 % (1389952)------------------------------
% 24.11/4.60 % (1389952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.60 % (1389952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.60 % (1389952)CaDiCaL version: 2.1.3
% 24.11/4.60 % (1389952)Termination reason: Instruction limit
% 24.11/4.60 % (1389952)Termination phase: Saturation
% 24.11/4.60 % (1389952)Time elapsed: 0.150 s
% 24.11/4.60 % (1389952)Peak memory usage: 88 MB
% 24.11/4.60 % (1389952)Instructions burned: 157 (million)
% 24.11/4.60 % (1389933)Refutation found. Thanks to Tanya!
% 24.11/4.60 % SZS status Unsatisfiable for theBenchmark
% 24.11/4.60 % SZS output start Proof for theBenchmark
% See solution above
% 25.47/4.96 % (1389933)------------------------------
% 25.47/4.96 % (1389933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.47/4.96 % (1389933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.47/4.96 % (1389933)CaDiCaL version: 2.1.3
% 25.47/4.96 % (1389933)Termination reason: Refutation
% 25.47/4.96 % (1389933)Time elapsed: 1.655 s
% 25.47/4.96 % (1389933)Peak memory usage: 134 MB
% 25.47/4.96 % (1389933)Instructions burned: 1572 (million)
% 25.47/4.96 % (1389933)------------------------------
% 25.47/4.96 % (1389933)------------------------------
% 25.47/4.96 % (1389904)Success in time 3.474 s
% 25.47/4.96 % Vampire exiting
%------------------------------------------------------------------------------