%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL307-3 : 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 : n026.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 11:51:56 AM UTC 2026
% Result : Unsatisfiable 22.35s 4.29s
% Output : Refutation 23.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 121 ( 45 unt; 7 def)
% Number of atoms : 218 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 188 ( 91 ~; 90 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 170 ( 0 sgn 170 !; 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(and(implies(p,q),implies(p,r)),implies(p,and(q,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(not(or(not(or(not(p),q)),not(or(not(p),r))))),or(not(p),not(or(not(q),not(r)))))),not(or(not(or(not(p),not(or(not(q),not(r))))),not(or(not(or(not(p),q)),not(or(not(p),r))))))))),
inference(definition_unfolding,[],[f11,f12,f9,f6,f6,f6,f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f15,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(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f18,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f19,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f20,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f15,f7]) ).
fof(f21,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f17,f7]) ).
fof(f23,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f18,f7]) ).
fof(f24,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f19,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f14,f22]) ).
fof(f26,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f14,f20]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f14,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(f32,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f27,f23]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f26,f14]) ).
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(f46,plain,
! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[],[f33,f21]) ).
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(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,f14]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f86,f14]) ).
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(f132,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f29,f14]) ).
fof(f135,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))),
inference(resolution,[],[f29,f41]) ).
fof(f165,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(f182,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f180,f14]) ).
fof(f185,plain,
( ~ theorem(or(not(or(not(p),not(or(not(q),not(r))))),not(or(not(or(not(p),q)),not(or(not(p),r))))))
| ~ theorem(or(not(not(or(not(or(not(p),q)),not(or(not(p),r))))),or(not(p),not(or(not(q),not(r)))))) ),
inference(resolution,[],[f182,f13]) ).
fof(f187,definition,
( spl0_1
<=> theorem(or(not(not(or(not(or(not(p),q)),not(or(not(p),r))))),or(not(p),not(or(not(q),not(r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f189,plain,
( ~ theorem(or(not(not(or(not(or(not(p),q)),not(or(not(p),r))))),or(not(p),not(or(not(q),not(r))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,definition,
( spl0_2
<=> theorem(or(not(or(not(p),not(or(not(q),not(r))))),not(or(not(or(not(p),q)),not(or(not(p),r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f193,plain,
( ~ theorem(or(not(or(not(p),not(or(not(q),not(r))))),not(or(not(or(not(p),q)),not(or(not(p),r))))))
| spl0_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f185,f191,f187]) ).
fof(f195,plain,
( ~ theorem(or(or(not(p),not(or(not(q),not(r)))),or(not(or(not(p),q)),not(or(not(p),r)))))
| spl0_1 ),
inference(resolution,[],[f189,f165]) ).
fof(f209,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))),
inference(resolution,[],[f46,f55]) ).
fof(f248,plain,
! [X0,X1] : theorem(or(or(not(X0),X1),X0)),
inference(resolution,[],[f60,f25]) ).
fof(f264,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))),
inference(resolution,[],[f135,f27]) ).
fof(f428,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f116,f82]) ).
fof(f446,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,f14]) ).
fof(f456,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f446,f22]) ).
fof(f463,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,[],[f446,f21]) ).
fof(f490,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,[],[f463,f33]) ).
fof(f727,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X3)),or(X2,X1)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f125,f41]) ).
fof(f812,plain,
! [X2,X3,X0,X1] :
( theorem(or(X2,or(not(or(X3,X0)),X1)))
| ~ theorem(or(not(X3),or(X1,X2)))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(resolution,[],[f727,f27]) ).
fof(f845,plain,
( ~ theorem(or(not(not(p)),or(not(or(not(p),r)),or(not(p),not(or(not(q),not(r)))))))
| ~ theorem(or(not(q),or(not(or(not(p),r)),or(not(p),not(or(not(q),not(r)))))))
| spl0_1 ),
inference(resolution,[],[f812,f195]) ).
fof(f846,plain,
( ~ theorem(or(not(q),or(not(or(not(p),r)),or(not(p),not(or(not(q),not(r)))))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f845,f209]) ).
fof(f867,plain,
( ~ theorem(or(not(q),or(not(r),not(or(not(q),not(r))))))
| spl0_1 ),
inference(resolution,[],[f846,f44]) ).
fof(f882,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f867,f264]) ).
fof(f883,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f885,plain,
( ~ theorem(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),r))))))
| ~ theorem(or(not(not(or(not(q),not(r)))),not(or(not(or(not(p),q)),not(or(not(p),r))))))
| spl0_2 ),
inference(resolution,[],[f193,f125]) ).
fof(f887,definition,
( spl0_24
<=> theorem(or(not(not(or(not(q),not(r)))),not(or(not(or(not(p),q)),not(or(not(p),r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f889,plain,
( ~ theorem(or(not(not(or(not(q),not(r)))),not(or(not(or(not(p),q)),not(or(not(p),r))))))
| spl0_24 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f891,definition,
( spl0_25
<=> theorem(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f893,plain,
( ~ theorem(or(not(not(p)),not(or(not(or(not(p),q)),not(or(not(p),r))))))
| spl0_25 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f894,plain,
( ~ spl0_24
| ~ spl0_25
| spl0_2 ),
inference(avatar_split_clause,[],[f885,f191,f891,f887]) ).
fof(f900,plain,
( ~ theorem(or(not(or(not(or(not(p),q)),not(or(not(p),r)))),or(not(q),not(r))))
| spl0_24 ),
inference(resolution,[],[f889,f165]) ).
fof(f973,plain,
( ~ theorem(or(not(not(or(not(p),r))),or(not(r),not(q))))
| ~ theorem(or(not(not(or(not(p),q))),or(not(r),not(q))))
| spl0_24 ),
inference(resolution,[],[f900,f727]) ).
fof(f988,definition,
( spl0_41
<=> theorem(or(not(not(or(not(p),q))),or(not(r),not(q)))) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f990,plain,
( ~ theorem(or(not(not(or(not(p),q))),or(not(r),not(q))))
| spl0_41 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f992,definition,
( spl0_42
<=> theorem(or(not(not(or(not(p),r))),or(not(r),not(q)))) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f994,plain,
( ~ theorem(or(not(not(or(not(p),r))),or(not(r),not(q))))
| spl0_42 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f995,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_24 ),
inference(avatar_split_clause,[],[f973,f887,f992,f988]) ).
fof(f1495,plain,
! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f456,f48]) ).
fof(f1504,plain,
! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X2)),X1))
| ~ theorem(or(X0,X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f1495,f97]) ).
fof(f1907,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f428,f25]) ).
fof(f2043,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(not(or(X0,X1))),or(X2,X3)))
| ~ theorem(or(X0,or(X2,X1))) ),
inference(resolution,[],[f490,f55]) ).
fof(f2193,plain,
( ~ theorem(or(not(p),or(not(r),r)))
| spl0_42 ),
inference(resolution,[],[f2043,f994]) ).
fof(f2206,plain,
! [X2,X3,X0,X1] :
( theorem(or(not(not(or(X0,X2))),or(X3,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f2043,f41]) ).
fof(f2212,plain,
( $false
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f2193,f32]) ).
fof(f2213,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f2212]) ).
fof(f2295,plain,
( ~ theorem(or(not(or(not(or(not(p),q)),not(or(not(p),r)))),p))
| spl0_25 ),
inference(resolution,[],[f893,f165]) ).
fof(f2319,plain,
( ~ theorem(or(or(not(p),q),p))
| ~ theorem(or(not(not(or(not(p),r))),p))
| spl0_25 ),
inference(resolution,[],[f2295,f1504]) ).
fof(f2323,definition,
( spl0_111
<=> theorem(or(not(not(or(not(p),r))),p)) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f2325,plain,
( ~ theorem(or(not(not(or(not(p),r))),p))
| spl0_111 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f2331,plain,
( ~ theorem(or(not(not(or(not(p),r))),p))
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f2319,f248]) ).
fof(f2332,plain,
( ~ spl0_111
| spl0_25 ),
inference(avatar_split_clause,[],[f2331,f891,f2323]) ).
fof(f2354,plain,
( ~ theorem(or(not(p),or(not(q),q)))
| spl0_41 ),
inference(resolution,[],[f990,f2206]) ).
fof(f2361,plain,
( $false
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f2354,f32]) ).
fof(f2362,plain,
spl0_41,
inference(avatar_contradiction_clause,[],[f2361]) ).
fof(f2455,plain,
( ~ theorem(or(or(not(p),r),p))
| spl0_111 ),
inference(resolution,[],[f2325,f1907]) ).
fof(f2459,plain,
( $false
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f2455,f248]) ).
fof(f2460,plain,
spl0_111,
inference(avatar_contradiction_clause,[],[f2459]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f194]) ).
cnf(s30,plain,
spl0_1,
inference(sat_conversion,[],[f883]) ).
cnf(s31,plain,
( spl0_2
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f894]) ).
cnf(s43,plain,
( spl0_24
| ~ spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f995]) ).
cnf(s97,plain,
spl0_42,
inference(sat_conversion,[],[f2213]) ).
cnf(s106,plain,
( spl0_25
| ~ spl0_111 ),
inference(sat_conversion,[],[f2332]) ).
cnf(s107,plain,
spl0_41,
inference(sat_conversion,[],[f2362]) ).
cnf(s123,plain,
spl0_111,
inference(sat_conversion,[],[f2460]) ).
cnf(s124,plain,
spl0_25,
inference(rat,[],[s106,s123]) ).
cnf(s125,plain,
spl0_24,
inference(rat,[],[s43,s97,s107]) ).
cnf(s127,plain,
spl0_2,
inference(rat,[],[s31,s124,s125]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s1,s127,s30]) ).
fof(f2461,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL307-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n026.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:36:26 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.53 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
% 17.89/3.64 % (3010921)Input is clausal, will run a generic CNF schedule.
% 17.89/3.64 % (3010929)lrs+10_1_sil=8000:sp=occurrence:random_seed=1536172238:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.89/3.64 % (3010927)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3841106864:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.89/3.64 % (3010926)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=2643953061:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.89/3.64 % (3010929)Instruction limit reached!
% 17.89/3.64 % (3010929)------------------------------
% 17.89/3.64 % (3010929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.89/3.64 % (3010929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.89/3.64 % (3010929)CaDiCaL version: 2.1.3
% 17.89/3.64 % (3010929)Termination reason: Instruction limit
% 17.89/3.64 % (3010929)Termination phase: Saturation
% 17.89/3.64 % (3010929)Time elapsed: 0.056 s
% 17.89/3.64 % (3010929)Peak memory usage: 89 MB
% 17.89/3.64 % (3010929)Instructions burned: 107 (million)
% 17.89/3.64 % (3010931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4009425794:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.89/3.64 % (3010932)dis-21_1_sil=8000:lcm=predicate:random_seed=2377789945: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)
% 17.89/3.64 % (3010930)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1831531294:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.89/3.64 % (3010928)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1858394477:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.89/3.64 % (3010931)Instruction limit reached!
% 17.89/3.64 % (3010931)------------------------------
% 17.89/3.64 % (3010931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.89/3.64 % (3010931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.89/3.64 % (3010931)CaDiCaL version: 2.1.3
% 17.89/3.64 % (3010931)Termination reason: Instruction limit
% 17.89/3.64 % (3010931)Termination phase: Saturation
% 17.89/3.64 % (3010931)Time elapsed: 0.087 s
% 17.89/3.64 % (3010931)Peak memory usage: 89 MB
% 17.89/3.64 % (3010931)Instructions burned: 181 (million)
% 17.89/3.64 % (3010932)Instruction limit reached!
% 17.89/3.64 % (3010932)------------------------------
% 17.89/3.64 % (3010932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.89/3.64 % (3010932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.89/3.64 % (3010932)CaDiCaL version: 2.1.3
% 17.89/3.64 % (3010932)Termination reason: Instruction limit
% 17.89/3.64 % (3010932)Termination phase: Saturation
% 17.89/3.64 % (3010932)Time elapsed: 0.088 s
% 17.89/3.64 % (3010932)Peak memory usage: 87 MB
% 17.89/3.64 % (3010932)Instructions burned: 118 (million)
% 17.89/3.64 % (3010930)Instruction limit reached!
% 17.89/3.64 % (3010930)------------------------------
% 17.89/3.64 % (3010930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.89/3.64 % (3010930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.89/3.64 % (3010930)CaDiCaL version: 2.1.3
% 17.89/3.64 % (3010930)Termination reason: Instruction limit
% 17.89/3.64 % (3010930)Termination phase: Saturation
% 17.89/3.64 % (3010930)Time elapsed: 0.107 s
% 17.89/3.64 % (3010930)Peak memory usage: 89 MB
% 17.89/3.64 % (3010930)Instructions burned: 114 (million)
% 17.89/3.64 % (3010936)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=1962939021:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.89/3.64 % (3010936)Refutation not found, incomplete strategy
% 17.89/3.64 % (3010936)------------------------------
% 17.89/3.64 % (3010936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.89/3.64 % (3010936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.89/3.64 % (3010936)CaDiCaL version: 2.1.3
% 17.89/3.64 % (3010936)Termination reason: Refutation not found, incomplete strategy
% 17.89/3.64 % (3010936)Time elapsed: 0.002 s
% 17.89/3.64 % (3010936)Peak memory usage: 88 MB
% 17.89/3.64 % (3010941)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2224644127:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 22.35/4.29 % (3010941)Refutation not found, incomplete strategy
% 22.35/4.29 % (3010941)------------------------------
% 22.35/4.29 % (3010941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010941)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010941)Termination reason: Refutation not found, incomplete strategy
% 22.35/4.29 % (3010941)Time elapsed: 0.001 s
% 22.35/4.29 % (3010941)Peak memory usage: 87 MB
% 22.35/4.29 % (3010942)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=370349521:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 22.35/4.29 % (3010942)Refutation not found, incomplete strategy
% 22.35/4.29 % (3010942)------------------------------
% 22.35/4.29 % (3010942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010942)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010942)Termination reason: Refutation not found, incomplete strategy
% 22.35/4.29 % (3010942)Time elapsed: 0.002 s
% 22.35/4.29 % (3010942)Peak memory usage: 88 MB
% 22.35/4.29 % (3010942)Instructions burned: 1 (million)
% 22.35/4.29 % (3010943)lrs+10_64_to=lpo:sil=8000:random_seed=2964233377:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 22.35/4.29 % (3010943)Instruction limit reached!
% 22.35/4.29 % (3010943)------------------------------
% 22.35/4.29 % (3010943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010943)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010943)Termination reason: Instruction limit
% 22.35/4.29 % (3010943)Termination phase: Saturation
% 22.35/4.29 % (3010943)Time elapsed: 0.115 s
% 22.35/4.29 % (3010943)Peak memory usage: 89 MB
% 22.35/4.29 % (3010943)Instructions burned: 127 (million)
% 22.35/4.29 % (3010941)------------------------------
% 22.35/4.29 % (3010941)------------------------------
% 22.35/4.29 % (3010936)------------------------------
% 22.35/4.29 % (3010936)------------------------------
% 22.35/4.29 % (3010949)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=556185205:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 22.35/4.29 % (3010942)------------------------------
% 22.35/4.29 % (3010942)------------------------------
% 22.35/4.29 % (3010948)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1127075939:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 22.35/4.29 % (3010949)Instruction limit reached!
% 22.35/4.29 % (3010949)------------------------------
% 22.35/4.29 % (3010949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010949)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010949)Termination reason: Instruction limit
% 22.35/4.29 % (3010949)Termination phase: Saturation
% 22.35/4.29 % (3010949)Time elapsed: 0.081 s
% 22.35/4.29 % (3010949)Peak memory usage: 91 MB
% 22.35/4.29 % (3010949)Instructions burned: 158 (million)
% 22.35/4.29 % (3010950)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1263275718:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 22.35/4.29 % (3010948)Instruction limit reached!
% 22.35/4.29 % (3010948)------------------------------
% 22.35/4.29 % (3010948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010948)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010948)Termination reason: Instruction limit
% 22.35/4.29 % (3010948)Termination phase: Saturation
% 22.35/4.29 % (3010948)Time elapsed: 0.201 s
% 22.35/4.29 % (3010948)Peak memory usage: 89 MB
% 22.35/4.29 % (3010948)Instructions burned: 194 (million)
% 22.35/4.29 % (3010953)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=72705540:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 22.35/4.29 % (3010954)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1644353313:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 22.35/4.29 % (3010954)Refutation not found, incomplete strategy
% 22.35/4.29 % (3010954)------------------------------
% 22.35/4.29 % (3010954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010954)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010954)Termination reason: Refutation not found, incomplete strategy
% 22.35/4.29 % (3010954)Time elapsed: 0.002 s
% 22.35/4.29 % (3010954)Peak memory usage: 87 MB
% 22.35/4.29 % (3010953)Instruction limit reached!
% 22.35/4.29 % (3010953)------------------------------
% 22.35/4.29 % (3010953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010953)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010953)Termination reason: Instruction limit
% 22.35/4.29 % (3010953)Termination phase: Saturation
% 22.35/4.29 % (3010953)Time elapsed: 0.097 s
% 22.35/4.29 % (3010953)Peak memory usage: 89 MB
% 22.35/4.29 % (3010953)Instructions burned: 107 (million)
% 22.35/4.29 % (3010956)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2696426432:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 22.35/4.29 % (3010959)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2686866755:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 22.35/4.29 % (3010956)Instruction limit reached!
% 22.35/4.29 % (3010956)------------------------------
% 22.35/4.29 % (3010956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010956)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010956)Termination reason: Instruction limit
% 22.35/4.29 % (3010956)Termination phase: Saturation
% 22.35/4.29 % (3010956)Time elapsed: 0.234 s
% 22.35/4.29 % (3010956)Peak memory usage: 90 MB
% 22.35/4.29 % (3010956)Instructions burned: 242 (million)
% 22.35/4.29 % (3010954)------------------------------
% 22.35/4.29 % (3010954)------------------------------
% 22.35/4.29 % (3010962)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1334099002:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 22.35/4.29 % (3010963)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=798243560:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 22.35/4.29 % (3010962)Instruction limit reached!
% 22.35/4.29 % (3010962)------------------------------
% 22.35/4.29 % (3010962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010962)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010962)Termination reason: Instruction limit
% 22.35/4.29 % (3010962)Termination phase: Saturation
% 22.35/4.29 % (3010962)Time elapsed: 0.128 s
% 22.35/4.29 % (3010962)Peak memory usage: 89 MB
% 22.35/4.29 % (3010962)Instructions burned: 134 (million)
% 22.35/4.29 % (3010966)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1146619392:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 22.35/4.29 % (3010963)Instruction limit reached!
% 22.35/4.29 % (3010963)------------------------------
% 22.35/4.29 % (3010963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010963)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010963)Termination reason: Instruction limit
% 22.35/4.29 % (3010963)Termination phase: Saturation
% 22.35/4.29 % (3010963)Time elapsed: 0.450 s
% 22.35/4.29 % (3010963)Peak memory usage: 93 MB
% 22.35/4.29 % (3010963)Instructions burned: 499 (million)
% 22.35/4.29 % (3010966)Instruction limit reached!
% 22.35/4.29 % (3010966)------------------------------
% 22.35/4.29 % (3010966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010966)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010966)Termination reason: Instruction limit
% 22.35/4.29 % (3010966)Termination phase: Saturation
% 22.35/4.29 % (3010966)Time elapsed: 0.208 s
% 22.35/4.29 % (3010966)Peak memory usage: 93 MB
% 22.35/4.29 % (3010966)Instructions burned: 192 (million)
% 22.35/4.29 % (3010968)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3784549818:i=264:kws=precedence:fsr=off_2976 on theBenchmark for (2976ds/264Mi)
% 22.35/4.29 % (3010969)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2635930241:cond=on:i=156:bs=on:gtg=exists_all:er=known_2976 on theBenchmark for (2976ds/156Mi)
% 22.35/4.29 % (3010950)First to succeed.
% 22.35/4.29 % (3010950)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3010921"
% 22.35/4.29 % (3010968)Instruction limit reached!
% 22.35/4.29 % (3010968)------------------------------
% 22.35/4.29 % (3010968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010968)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010968)Termination reason: Instruction limit
% 22.35/4.29 % (3010968)Termination phase: Saturation
% 22.35/4.29 % (3010968)Time elapsed: 0.235 s
% 22.35/4.29 % (3010968)Peak memory usage: 92 MB
% 22.35/4.29 % (3010968)Instructions burned: 265 (million)
% 22.35/4.29 % (3010969)Instruction limit reached!
% 22.35/4.29 % (3010969)------------------------------
% 22.35/4.29 % (3010969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/4.29 % (3010969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/4.29 % (3010969)CaDiCaL version: 2.1.3
% 22.35/4.29 % (3010969)Termination reason: Instruction limit
% 22.35/4.29 % (3010969)Termination phase: Saturation
% 22.35/4.29 % (3010969)Time elapsed: 0.141 s
% 22.35/4.29 % (3010969)Peak memory usage: 88 MB
% 22.35/4.29 % (3010969)Instructions burned: 156 (million)
% 22.35/4.29 % (3010974)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=946501109:i=537:av=off:ss=included_2972 on theBenchmark for (2972ds/537Mi)
% 22.35/4.29 % (3010973)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=3418378680:i=3256:kws=precedence:bd=preordered:av=off_2972 on theBenchmark for (2972ds/3256Mi)
% 22.35/4.29 % (3010950)Refutation found. Thanks to Tanya!
% 22.35/4.29 % SZS status Unsatisfiable for theBenchmark
% 22.35/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 23.24/4.62 % (3010950)------------------------------
% 23.24/4.62 % (3010950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.24/4.62 % (3010950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.24/4.62 % (3010950)CaDiCaL version: 2.1.3
% 23.24/4.62 % (3010950)Termination reason: Refutation
% 23.24/4.62 % (3010950)Time elapsed: 1.619 s
% 23.24/4.62 % (3010950)Peak memory usage: 134 MB
% 23.24/4.62 % (3010950)Instructions burned: 1544 (million)
% 23.24/4.62 % (3010950)------------------------------
% 23.24/4.62 % (3010950)------------------------------
% 23.24/4.62 % (3010921)Success in time 3.17 s
% 23.24/4.62 % Vampire exiting
%------------------------------------------------------------------------------