%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL281-3 : 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 : n012.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 11:51:51 AM UTC 2026
% Result : Unsatisfiable 12.64s 2.68s
% Output : Refutation 13.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 111 ( 40 unt; 6 def)
% Number of atoms : 199 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 174 ( 86 ~; 82 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 165 !; 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(p,or(q,r)),or(and(p,q),and(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(not(or(not(p),not(or(q,r))))),or(not(or(not(p),not(q))),not(or(not(p),not(r)))))),not(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(r))))),not(or(not(p),not(or(q,r))))))))),
inference(definition_unfolding,[],[f11,f12,f9,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(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(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(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f29,f33]) ).
fof(f87,plain,
! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ),
inference(resolution,[],[f29,f19]) ).
fof(f91,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(resolution,[],[f42,f22]) ).
fof(f94,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(f96,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(f103,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,[],[f94,f19]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f91,f19]) ).
fof(f128,plain,
! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f91,f48]) ).
fof(f132,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X1)) ),
inference(resolution,[],[f128,f103]) ).
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,[],[f96,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,[],[f87,f25]) ).
fof(f182,plain,
! [X0,X1] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f180,f19]) ).
fof(f185,plain,
( ~ theorem(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(r))))),not(or(not(p),not(or(q,r))))))
| ~ theorem(or(not(not(or(not(p),not(or(q,r))))),or(not(or(not(p),not(q))),not(or(not(p),not(r)))))) ),
inference(resolution,[],[f182,f13]) ).
fof(f187,definition,
( spl0_1
<=> theorem(or(not(not(or(not(p),not(or(q,r))))),or(not(or(not(p),not(q))),not(or(not(p),not(r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f189,plain,
( ~ theorem(or(not(not(or(not(p),not(or(q,r))))),or(not(or(not(p),not(q))),not(or(not(p),not(r))))))
| spl0_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,definition,
( spl0_2
<=> theorem(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(r))))),not(or(not(p),not(or(q,r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f193,plain,
( ~ theorem(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(r))))),not(or(not(p),not(or(q,r))))))
| spl0_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f185,f191,f187]) ).
fof(f209,plain,
! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))),
inference(resolution,[],[f46,f55]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ theorem(or(X2,or(X0,X1)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f139,f22]) ).
fof(f245,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[],[f60,f41]) ).
fof(f281,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[],[f245,f27]) ).
fof(f285,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(f342,definition,
( spl0_3
<=> ! [X2] : ~ theorem(X2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f343,plain,
( ! [X2] : ~ theorem(X2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f348,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f343,f22]) ).
fof(f394,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f424,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[],[f123,f82]) ).
fof(f598,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ theorem(X2) ),
inference(resolution,[],[f285,f281]) ).
fof(f600,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(f601,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f602,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f598,f600,f342]) ).
fof(f614,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),not(not(X1)))))
| ~ spl0_6 ),
inference(resolution,[],[f601,f27]) ).
fof(f786,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,[],[f132,f41]) ).
fof(f906,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,[],[f786,f27]) ).
fof(f1002,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,not(X1))),or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f86,f218]) ).
fof(f1437,plain,
! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f424,f25]) ).
fof(f1444,plain,
( ~ theorem(or(or(not(p),not(or(q,r))),or(not(or(not(p),not(q))),not(or(not(p),not(r))))))
| spl0_1 ),
inference(resolution,[],[f1437,f189]) ).
fof(f1460,plain,
! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f1437,f41]) ).
fof(f1467,plain,
( ~ theorem(or(not(not(p)),or(not(or(not(p),not(r))),or(not(p),not(or(q,r))))))
| ~ theorem(or(not(not(q)),or(not(or(not(p),not(r))),or(not(p),not(or(q,r))))))
| spl0_1 ),
inference(resolution,[],[f1444,f906]) ).
fof(f1481,plain,
( ~ theorem(or(not(not(q)),or(not(or(not(p),not(r))),or(not(p),not(or(q,r))))))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1467,f209]) ).
fof(f1489,plain,
( ~ theorem(or(not(not(q)),or(not(not(r)),not(or(q,r)))))
| spl0_1 ),
inference(resolution,[],[f1481,f44]) ).
fof(f1649,plain,
( ~ theorem(or(q,or(not(or(q,r)),not(not(r)))))
| spl0_1 ),
inference(resolution,[],[f1489,f1460]) ).
fof(f1658,plain,
( $false
| spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1649,f614]) ).
fof(f1659,plain,
( spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1658]) ).
fof(f1662,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),not(or(not(p),not(or(q,r))))))
| ~ theorem(or(not(not(or(not(p),not(r)))),not(or(not(p),not(or(q,r))))))
| spl0_2 ),
inference(resolution,[],[f193,f132]) ).
fof(f1674,definition,
( spl0_55
<=> theorem(or(not(not(or(not(p),not(r)))),not(or(not(p),not(or(q,r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f1676,plain,
( ~ theorem(or(not(not(or(not(p),not(r)))),not(or(not(p),not(or(q,r))))))
| spl0_55 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1678,definition,
( spl0_56
<=> theorem(or(not(not(or(not(p),not(q)))),not(or(not(p),not(or(q,r)))))) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f1680,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),not(or(not(p),not(or(q,r))))))
| spl0_56 ),
inference(avatar_component_clause,[],[f1678]) ).
fof(f1681,plain,
( ~ spl0_55
| ~ spl0_56
| spl0_2 ),
inference(avatar_split_clause,[],[f1662,f191,f1678,f1674]) ).
fof(f1775,plain,
( ~ theorem(or(not(or(not(p),not(or(q,r)))),or(not(p),not(r))))
| spl0_55 ),
inference(resolution,[],[f1676,f157]) ).
fof(f1886,plain,
( ~ theorem(or(not(r),or(q,r)))
| spl0_55 ),
inference(resolution,[],[f1775,f1002]) ).
fof(f1898,plain,
( $false
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f1886,f23]) ).
fof(f1899,plain,
spl0_55,
inference(avatar_contradiction_clause,[],[f1898]) ).
fof(f1901,plain,
( ~ theorem(or(not(or(not(p),not(or(q,r)))),or(not(p),not(q))))
| spl0_56 ),
inference(resolution,[],[f1680,f157]) ).
fof(f1990,plain,
( ~ theorem(or(not(q),or(q,r)))
| spl0_56 ),
inference(resolution,[],[f1901,f1002]) ).
fof(f2002,plain,
( $false
| spl0_56 ),
inference(forward_subsumption_resolution,[],[f1990,f55]) ).
fof(f2003,plain,
spl0_56,
inference(avatar_contradiction_clause,[],[f2002]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f194]) ).
cnf(s18,plain,
~ spl0_3,
inference(sat_conversion,[],[f394]) ).
cnf(s20,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f602]) ).
cnf(s60,plain,
( spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f1659]) ).
cnf(s62,plain,
( spl0_2
| ~ spl0_55
| ~ spl0_56 ),
inference(sat_conversion,[],[f1681]) ).
cnf(s89,plain,
spl0_55,
inference(sat_conversion,[],[f1899]) ).
cnf(s100,plain,
spl0_56,
inference(sat_conversion,[],[f2003]) ).
cnf(s103,plain,
spl0_2,
inference(rat,[],[s62,s100,s89]) ).
cnf(s113,plain,
spl0_6,
inference(rat,[],[s20,s18]) ).
cnf(s115,plain,
spl0_1,
inference(rat,[],[s60,s113]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s1,s103,s115]) ).
fof(f2004,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL281-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n012.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 15:31:50 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 11.87/2.50 % (2521177)Input is clausal, will run a generic CNF schedule.
% 11.87/2.50 % (2521182)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=548604348:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.87/2.50 % (2521183)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4075817633:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.87/2.50 % (2521187)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3551877369:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.87/2.50 % (2521186)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3529795055:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.87/2.50 % (2521188)dis-21_1_sil=8000:lcm=predicate:random_seed=2401596685: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)
% 11.87/2.50 % (2521185)lrs+10_1_sil=8000:sp=occurrence:random_seed=698372204:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.87/2.50 % (2521184)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1694893459:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.87/2.50 % (2521188)Instruction limit reached!
% 11.87/2.50 % (2521188)------------------------------
% 11.87/2.50 % (2521188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.50 % (2521188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.50 % (2521188)CaDiCaL version: 2.1.3
% 11.87/2.50 % (2521188)Termination reason: Instruction limit
% 11.87/2.50 % (2521188)Termination phase: Saturation
% 11.87/2.50 % (2521188)Time elapsed: 0.050 s
% 11.87/2.50 % (2521188)Peak memory usage: 87 MB
% 11.87/2.50 % (2521188)Instructions burned: 118 (million)
% 11.87/2.50 % (2521186)Instruction limit reached!
% 11.87/2.50 % (2521186)------------------------------
% 11.87/2.50 % (2521186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.50 % (2521186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.50 % (2521186)CaDiCaL version: 2.1.3
% 11.87/2.50 % (2521186)Termination reason: Instruction limit
% 11.87/2.50 % (2521186)Termination phase: Saturation
% 11.87/2.50 % (2521186)Time elapsed: 0.060 s
% 11.87/2.50 % (2521186)Peak memory usage: 89 MB
% 11.87/2.50 % (2521186)Instructions burned: 115 (million)
% 11.87/2.50 % (2521185)Instruction limit reached!
% 11.87/2.50 % (2521185)------------------------------
% 11.87/2.50 % (2521185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.50 % (2521185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.50 % (2521185)CaDiCaL version: 2.1.3
% 11.87/2.50 % (2521185)Termination reason: Instruction limit
% 11.87/2.50 % (2521185)Termination phase: Saturation
% 11.87/2.50 % (2521185)Time elapsed: 0.060 s
% 11.87/2.50 % (2521185)Peak memory usage: 89 MB
% 11.87/2.50 % (2521185)Instructions burned: 107 (million)
% 11.87/2.50 % (2521187)Instruction limit reached!
% 11.87/2.50 % (2521187)------------------------------
% 11.87/2.50 % (2521187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.50 % (2521187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.50 % (2521187)CaDiCaL version: 2.1.3
% 11.87/2.50 % (2521187)Termination reason: Instruction limit
% 11.87/2.50 % (2521187)Termination phase: Saturation
% 11.87/2.50 % (2521187)Time elapsed: 0.108 s
% 11.87/2.50 % (2521187)Peak memory usage: 89 MB
% 11.87/2.50 % (2521187)Instructions burned: 180 (million)
% 11.87/2.50 % (2521196)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=4283716293:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.87/2.50 % (2521196)Refutation not found, incomplete strategy
% 11.87/2.50 % (2521196)------------------------------
% 11.87/2.50 % (2521196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.50 % (2521196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.50 % (2521196)CaDiCaL version: 2.1.3
% 11.87/2.50 % (2521196)Termination reason: Refutation not found, incomplete strategy
% 11.87/2.50 % (2521196)Time elapsed: 0.001 s
% 11.87/2.50 % (2521196)Peak memory usage: 87 MB
% 11.87/2.50 % (2521197)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1850824967: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)
% 12.64/2.68 % (2521198)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3259467140:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.64/2.68 % (2521197)Refutation not found, incomplete strategy
% 12.64/2.68 % (2521197)------------------------------
% 12.64/2.68 % (2521197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521197)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521197)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.68 % (2521197)Time elapsed: 0.001 s
% 12.64/2.68 % (2521197)Peak memory usage: 87 MB
% 12.64/2.68 % (2521198)Refutation not found, incomplete strategy
% 12.64/2.68 % (2521198)------------------------------
% 12.64/2.68 % (2521198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521198)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521198)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.68 % (2521198)Time elapsed: 0.001 s
% 12.64/2.68 % (2521198)Peak memory usage: 88 MB
% 12.64/2.68 % (2521198)Instructions burned: 1 (million)
% 12.64/2.68 % (2521199)lrs+10_64_to=lpo:sil=8000:random_seed=524868477:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 12.64/2.68 % (2521199)Instruction limit reached!
% 12.64/2.68 % (2521199)------------------------------
% 12.64/2.68 % (2521199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521199)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521199)Termination reason: Instruction limit
% 12.64/2.68 % (2521199)Termination phase: Saturation
% 12.64/2.68 % (2521199)Time elapsed: 0.061 s
% 12.64/2.68 % (2521199)Peak memory usage: 89 MB
% 12.64/2.68 % (2521199)Instructions burned: 126 (million)
% 12.64/2.68 % (2521196)------------------------------
% 12.64/2.68 % (2521196)------------------------------
% 12.64/2.68 % (2521197)------------------------------
% 12.64/2.68 % (2521197)------------------------------
% 12.64/2.68 % (2521198)------------------------------
% 12.64/2.68 % (2521198)------------------------------
% 12.64/2.68 % (2521204)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1198632380:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 12.64/2.68 % (2521204)Instruction limit reached!
% 12.64/2.68 % (2521204)------------------------------
% 12.64/2.68 % (2521204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521204)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521204)Termination reason: Instruction limit
% 12.64/2.68 % (2521204)Termination phase: Saturation
% 12.64/2.68 % (2521204)Time elapsed: 0.102 s
% 12.64/2.68 % (2521204)Peak memory usage: 89 MB
% 12.64/2.68 % (2521204)Instructions burned: 195 (million)
% 12.64/2.68 % (2521205)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3925093809:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 12.64/2.68 % (2521206)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3317463353:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 12.64/2.68 % (2521207)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=3250646438:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.64/2.68 % (2521207)Instruction limit reached!
% 12.64/2.68 % (2521207)------------------------------
% 12.64/2.68 % (2521207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521207)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521207)Termination reason: Instruction limit
% 12.64/2.68 % (2521207)Termination phase: Saturation
% 12.64/2.68 % (2521207)Time elapsed: 0.050 s
% 12.64/2.68 % (2521207)Peak memory usage: 89 MB
% 12.64/2.68 % (2521207)Instructions burned: 107 (million)
% 12.64/2.68 % (2521205)Instruction limit reached!
% 12.64/2.68 % (2521205)------------------------------
% 12.64/2.68 % (2521205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521205)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521205)Termination reason: Instruction limit
% 12.64/2.68 % (2521205)Termination phase: Saturation
% 12.64/2.68 % (2521205)Time elapsed: 0.084 s
% 12.64/2.68 % (2521205)Peak memory usage: 91 MB
% 12.64/2.68 % (2521205)Instructions burned: 158 (million)
% 12.64/2.68 % (2521210)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4291290935:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 12.64/2.68 % (2521210)Refutation not found, incomplete strategy
% 12.64/2.68 % (2521210)------------------------------
% 12.64/2.68 % (2521210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521210)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521210)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.68 % (2521210)Time elapsed: 0.001 s
% 12.64/2.68 % (2521210)Peak memory usage: 87 MB
% 12.64/2.68 % (2521213)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4283947403:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 12.64/2.68 % (2521214)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4012153099:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 12.64/2.68 % (2521213)Instruction limit reached!
% 12.64/2.68 % (2521213)------------------------------
% 12.64/2.68 % (2521213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521213)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521213)Termination reason: Instruction limit
% 12.64/2.68 % (2521213)Termination phase: Saturation
% 12.64/2.68 % (2521213)Time elapsed: 0.133 s
% 12.64/2.68 % (2521213)Peak memory usage: 91 MB
% 12.64/2.68 % (2521213)Instructions burned: 244 (million)
% 12.64/2.68 % (2521210)------------------------------
% 12.64/2.68 % (2521210)------------------------------
% 12.64/2.68 % (2521218)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2015537159:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 12.64/2.68 % (2521219)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4214571388:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 12.64/2.68 % (2521218)Instruction limit reached!
% 12.64/2.68 % (2521218)------------------------------
% 12.64/2.68 % (2521218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521218)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521218)Termination reason: Instruction limit
% 12.64/2.68 % (2521218)Termination phase: Saturation
% 12.64/2.68 % (2521218)Time elapsed: 0.075 s
% 12.64/2.68 % (2521218)Peak memory usage: 89 MB
% 12.64/2.68 % (2521218)Instructions burned: 135 (million)
% 12.64/2.68 % (2521219)Instruction limit reached!
% 12.64/2.68 % (2521219)------------------------------
% 12.64/2.68 % (2521219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521219)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521219)Termination reason: Instruction limit
% 12.64/2.68 % (2521219)Termination phase: Saturation
% 12.64/2.68 % (2521219)Time elapsed: 0.241 s
% 12.64/2.68 % (2521219)Peak memory usage: 93 MB
% 12.64/2.68 % (2521219)Instructions burned: 500 (million)
% 12.64/2.68 % (2521222)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3335152953:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 12.64/2.68 % (2521206)First to succeed.
% 12.64/2.68 % (2521206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2521177"
% 12.64/2.68 % (2521222)Instruction limit reached!
% 12.64/2.68 % (2521222)------------------------------
% 12.64/2.68 % (2521222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.68 % (2521222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.68 % (2521222)CaDiCaL version: 2.1.3
% 12.64/2.68 % (2521222)Termination reason: Instruction limit
% 12.64/2.68 % (2521222)Termination phase: Saturation
% 12.64/2.68 % (2521222)Time elapsed: 0.111 s
% 12.64/2.68 % (2521222)Peak memory usage: 93 MB
% 12.64/2.68 % (2521222)Instructions burned: 193 (million)
% 12.64/2.68 % (2521224)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2364528633:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 12.64/2.68 % (2521206)Refutation found. Thanks to Tanya!
% 12.64/2.68 % SZS status Unsatisfiable for theBenchmark
% 12.64/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 13.63/2.88 % (2521206)------------------------------
% 13.63/2.88 % (2521206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.63/2.88 % (2521206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/2.88 % (2521206)CaDiCaL version: 2.1.3
% 13.63/2.88 % (2521206)Termination reason: Refutation
% 13.63/2.88 % (2521206)Time elapsed: 0.816 s
% 13.63/2.88 % (2521206)Peak memory usage: 133 MB
% 13.63/2.88 % (2521206)Instructions burned: 1429 (million)
% 13.63/2.88 % (2521206)------------------------------
% 13.63/2.88 % (2521206)------------------------------
% 13.63/2.88 % (2521177)Success in time 1.865 s
% 13.63/2.88 % Vampire exiting
%------------------------------------------------------------------------------