%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL981+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 11:57:23 AM UTC 2026
% Result : Theorem 46.51s 7.90s
% Output : Refutation 47.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 7
% Syntax : Number of formulae : 132 ( 14 unt; 4 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 507 ( 255 ~; 248 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 343 ( 0 sgn 340 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(X0,implies(implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1))),implies(implies(X2,X4),implies(X2,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f3,conjecture,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).
fof(f4,negated_conjecture,
~ ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1))),implies(implies(X2,X4),implies(X2,X1))))),
inference(cnf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1))),implies(implies(X2,X4),implies(X2,X1)))) ),
inference(resolution,[],[f9,f8]) ).
fof(f12,definition,
( spl3_1
<=> ! [X4,X3,X2,X1] : is_a_theorem(implies(implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1))),implies(implies(X2,X4),implies(X2,X1)))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f13,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1))),implies(implies(X2,X4),implies(X2,X1))))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f15,definition,
( spl3_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f16,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f17,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f10,f15,f12]) ).
fof(f18,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f16,f8]) ).
fof(f19,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f18]) ).
fof(f20,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(implies(not(X1),X2),implies(X3,X0))))
| is_a_theorem(implies(implies(X1,X3),implies(X1,X0))) )
| ~ spl3_1 ),
inference(resolution,[],[f13,f9]) ).
fof(f21,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(X1,X0))))
| ~ spl3_1 ),
inference(resolution,[],[f20,f8]) ).
fof(f22,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X0))) )
| ~ spl3_1 ),
inference(resolution,[],[f21,f9]) ).
fof(f23,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1))),X0)))
| ~ spl3_1 ),
inference(resolution,[],[f22,f8]) ).
fof(f25,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(X0,implies(X1,X2)))))
| ~ spl3_1 ),
inference(resolution,[],[f22,f21]) ).
fof(f27,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1))),X0))
| ~ is_a_theorem(X0) )
| ~ spl3_1 ),
inference(resolution,[],[f23,f9]) ).
fof(f29,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X0,implies(X1,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_1 ),
inference(resolution,[],[f25,f9]) ).
fof(f30,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X0,X0))) )
| ~ spl3_1 ),
inference(resolution,[],[f29,f22]) ).
fof(f37,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(X0,X0)))
| ~ spl3_1 ),
inference(resolution,[],[f30,f23]) ).
fof(f40,plain,
( ! [X0] :
( is_a_theorem(implies(X0,X0))
| ~ is_a_theorem(X0) )
| ~ spl3_1 ),
inference(resolution,[],[f37,f9]) ).
fof(f43,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X0,X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_1 ),
inference(resolution,[],[f40,f22]) ).
fof(f47,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X2),implies(implies(not(X3),X4),implies(X5,X2))),implies(X0,implies(not(X2),implies(implies(not(X3),X4),implies(X5,X2)))))) )
| ~ spl3_1 ),
inference(resolution,[],[f27,f22]) ).
fof(f50,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X0,X1))) )
| ~ spl3_1 ),
inference(resolution,[],[f43,f9]) ).
fof(f51,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X0,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f145,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(not(X0),implies(implies(not(X1),X2),implies(X3,X0))),implies(X4,implies(not(X0),implies(implies(not(X1),X2),implies(X3,X0))))))
| ~ spl3_1 ),
inference(resolution,[],[f47,f8]) ).
fof(f160,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X4,implies(not(X0),implies(implies(not(X1),X2),implies(X3,X0)))))
| ~ is_a_theorem(implies(not(X0),implies(implies(not(X1),X2),implies(X3,X0)))) )
| ~ spl3_1 ),
inference(resolution,[],[f145,f9]) ).
fof(f164,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(not(X0),implies(implies(not(X1),X2),implies(X3,X0))))
| is_a_theorem(implies(X4,implies(not(X0),X4))) )
| ~ spl3_1 ),
inference(resolution,[],[f160,f22]) ).
fof(f168,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(X1,X2)),X0)))
| ~ spl3_1 ),
inference(resolution,[],[f164,f8]) ).
fof(f177,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(not(implies(X1,X2)),X0))
| ~ is_a_theorem(X0) )
| ~ spl3_1 ),
inference(resolution,[],[f168,f9]) ).
fof(f180,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(X3,X4))))
| is_a_theorem(implies(implies(X0,X2),implies(X0,implies(X3,X4)))) )
| ~ spl3_1 ),
inference(resolution,[],[f177,f20]) ).
fof(f208,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X2,X3))) )
| ~ spl3_1 ),
inference(resolution,[],[f180,f27]) ).
fof(f216,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X0))
| is_a_theorem(implies(X3,implies(X1,X2))) )
| ~ spl3_1 ),
inference(resolution,[],[f208,f9]) ).
fof(f271,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) )
| ~ spl3_1 ),
inference(resolution,[],[f216,f21]) ).
fof(f282,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(not(X1),implies(implies(not(X2),X3),implies(X4,X1)))))
| is_a_theorem(implies(X0,implies(implies(X2,X4),implies(X2,X1)))) )
| ~ spl3_1 ),
inference(resolution,[],[f216,f13]) ).
fof(f311,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X0,implies(X1,X0)))) )
| ~ spl3_1 ),
inference(resolution,[],[f271,f51]) ).
fof(f328,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(X0,implies(X0,X0))))
| ~ spl3_1 ),
inference(resolution,[],[f311,f37]) ).
fof(f590,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(not(X3),implies(implies(not(X1),X4),implies(X2,X3))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3)))) )
| ~ spl3_1 ),
inference(resolution,[],[f282,f160]) ).
fof(f998,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(X1,implies(X2,X1)))))
| ~ spl3_1 ),
inference(resolution,[],[f590,f8]) ).
fof(f1007,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),X0)))
| ~ spl3_1 ),
inference(resolution,[],[f998,f22]) ).
fof(f1036,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(X0) )
| ~ spl3_1 ),
inference(resolution,[],[f1007,f9]) ).
fof(f1061,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,implies(X4,X5)),implies(X0,implies(X1,X0)))) )
| ~ spl3_1 ),
inference(resolution,[],[f1036,f271]) ).
fof(f1097,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X3,X3))))
| ~ spl3_1 ),
inference(resolution,[],[f1061,f328]) ).
fof(f1119,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X1,X1))))
| ~ spl3_1 ),
inference(resolution,[],[f1097,f180]) ).
fof(f1121,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X0,implies(X1,X2)))))
| ~ spl3_1 ),
inference(resolution,[],[f1097,f22]) ).
fof(f1158,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X0,X3))))
| ~ spl3_1 ),
inference(resolution,[],[f1121,f271]) ).
fof(f1168,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),implies(X2,X3)),implies(implies(X0,X2),implies(X0,X3))))
| ~ spl3_1 ),
inference(resolution,[],[f1121,f282]) ).
fof(f1170,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X3,implies(X0,implies(X1,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_1 ),
inference(resolution,[],[f1121,f9]) ).
fof(f1189,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,X3))) )
| ~ spl3_1 ),
inference(resolution,[],[f1158,f9]) ).
fof(f1225,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),X0)))
| ~ spl3_1 ),
inference(resolution,[],[f1189,f1119]) ).
fof(f1240,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl3_1 ),
inference(resolution,[],[f1189,f998]) ).
fof(f1255,definition,
( spl3_11
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f1256,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1258,plain,
( spl3_11
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f1240,f12,f1255]) ).
fof(f1267,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X4,X3))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1256,f1061]) ).
fof(f1272,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl3_11 ),
inference(resolution,[],[f1256,f9]) ).
fof(f1340,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1267,f180]) ).
fof(f1372,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),implies(X1,X0)),implies(implies(X2,X1),implies(X2,X0))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1340,f282]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X3))) )
| ~ spl3_1 ),
inference(resolution,[],[f1170,f20]) ).
fof(f1486,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl3_1 ),
inference(resolution,[],[f1425,f27]) ).
fof(f1502,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) )
| ~ spl3_1 ),
inference(resolution,[],[f1486,f9]) ).
fof(f1516,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1502,f1256]) ).
fof(f1522,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(X2,X3)) )
| ~ spl3_1 ),
inference(resolution,[],[f1502,f1225]) ).
fof(f1612,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1516,f1340]) ).
fof(f1854,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1612,f282]) ).
fof(f1863,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(X2,X3)) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1612,f1502]) ).
fof(f1871,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,not(X0))),implies(X0,implies(X1,X2))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1854,f1425]) ).
fof(f1893,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X0,X2)),X3))
| is_a_theorem(implies(implies(X1,X2),X3)) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1854,f1502]) ).
fof(f1945,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,not(X0))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1871,f9]) ).
fof(f2443,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(X1,X0)))
| is_a_theorem(implies(implies(X2,X1),implies(X2,X0))) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1372,f9]) ).
fof(f3485,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,not(X2)),implies(X2,X1))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f1893,f1168]) ).
fof(f3533,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,not(X1))),implies(X0,implies(X1,X2))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3485,f1425]) ).
fof(f3581,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3533,f1863]) ).
fof(f3595,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,not(X1))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3533,f9]) ).
fof(f3607,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3581,f20]) ).
fof(f3632,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,not(X0)),implies(X0,X1)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3607,f1425]) ).
fof(f3675,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3632,f1516]) ).
fof(f3729,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3675,f1502]) ).
fof(f3855,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X0),implies(X1,X2))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3729,f1854]) ).
fof(f3874,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X1,X2))),implies(X0,implies(X1,X2))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3855,f2443]) ).
fof(f3895,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X0,X2)),X3))
| is_a_theorem(implies(not(X1),X3)) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3855,f1502]) ).
fof(f3905,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3874,f1516]) ).
fof(f3906,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2))))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3874,f1893]) ).
fof(f3923,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3874,f9]) ).
fof(f3960,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3905,f9]) ).
fof(f3970,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3960,f1256]) ).
fof(f4027,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3970,f1945]) ).
fof(f4030,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3970,f9]) ).
fof(f4064,definition,
( spl3_12
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f4065,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f4064]) ).
fof(f4066,plain,
( spl3_12
| spl3_2
| ~ spl3_1
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f4030,f1255,f12,f15,f4064]) ).
fof(f4133,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3906,f9]) ).
fof(f4173,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f4133,f9]) ).
fof(f4281,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f4173,f4065]) ).
fof(f4594,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X0,X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f3923,f4133]) ).
fof(f4652,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,not(not(X1))),implies(X0,X1)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f4027,f2443]) ).
fof(f4975,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f4594,f4027]) ).
fof(f5122,plain,
( ! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0)))
| ~ spl3_1
| ~ spl3_11 ),
inference(resolution,[],[f4652,f1516]) ).
fof(f5271,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f5122,f4281]) ).
fof(f5290,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f5271,f1502]) ).
fof(f5313,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,not(X0))))
| is_a_theorem(implies(implies(X2,X1),implies(X2,not(X0)))) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f5290,f2443]) ).
fof(f7679,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X0,not(implies(not(X1),X1)))))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f5313,f4975]) ).
fof(f10892,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X1,not(implies(not(X0),X0)))))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f7679,f1516]) ).
fof(f10941,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(implies(not(X0),X0),X1)))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f10892,f3595]) ).
fof(f10976,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f10941,f2443]) ).
fof(f11031,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(implies(not(X1),X0),X1)))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f10976,f3895]) ).
fof(f11385,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1)))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f11031,f20]) ).
fof(f11433,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f11385,f1522]) ).
fof(f11454,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f11385,f9]) ).
fof(f11467,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f11454,f1272]) ).
fof(f11651,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
| is_a_theorem(implies(X0,X2)) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f11433,f1502]) ).
fof(f16503,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f11467,f1893]) ).
fof(f16594,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f16503,f11651]) ).
fof(f17123,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f16594,f1854]) ).
fof(f17240,plain,
( $false
| ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(resolution,[],[f17123,f7]) ).
fof(f17323,plain,
( ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f17240]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s2,plain,
~ spl3_2,
inference(sat_conversion,[],[f19]) ).
cnf(s12,plain,
( ~ spl3_1
| spl3_11 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s19,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_11
| spl3_12 ),
inference(sat_conversion,[],[f4066]) ).
cnf(s25,plain,
( ~ spl3_1
| ~ spl3_11
| ~ spl3_12 ),
inference(sat_conversion,[],[f17323]) ).
cnf(s27,plain,
spl3_1,
inference(rat,[],[s1,s2]) ).
cnf(s28,plain,
spl3_11,
inference(rat,[],[s12,s27]) ).
cnf(s30,plain,
~ spl3_12,
inference(rat,[],[s25,s27,s28]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s19,s27,s2,s30,s28]) ).
fof(f17324,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL981+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:10:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 25.33/4.90 % (3181997)Detected formulas, will run a generic FOF schedule.
% 25.33/4.90 % (3182004)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1450593471:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 25.33/4.90 % (3182002)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=1556760300:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 25.33/4.90 % (3182003)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=389843671:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 25.33/4.90 % (3182006)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1236589211:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 25.33/4.90 % (3182008)dis-21_1_sil=8000:lcm=predicate:random_seed=521526360:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 25.33/4.90 % (3182005)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=933856227:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 25.33/4.90 % (3182007)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=783948577:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 25.33/4.90 % (3182005)Refutation not found, incomplete strategy
% 25.33/4.90 % (3182005)------------------------------
% 25.33/4.90 % (3182005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/4.90 % (3182005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/4.90 % (3182006)Refutation not found, incomplete strategy
% 25.33/4.90 % (3182006)------------------------------
% 25.33/4.90 % (3182006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/4.90 % (3182005)CaDiCaL version: 2.1.3
% 25.33/4.90 % (3182006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/4.90 % (3182005)Termination reason: Refutation not found, incomplete strategy
% 25.33/4.90 % (3182005)Time elapsed: 0.001 s
% 25.33/4.90 % (3182005)Peak memory usage: 87 MB
% 25.33/4.90 % (3182006)CaDiCaL version: 2.1.3
% 25.33/4.90 % (3182006)Termination reason: Refutation not found, incomplete strategy
% 25.33/4.90 % (3182006)Time elapsed: 0.001 s
% 25.33/4.90 % (3182006)Peak memory usage: 87 MB
% 25.33/4.90 % (3182008)Instruction limit reached!
% 25.33/4.90 % (3182008)------------------------------
% 25.33/4.90 % (3182008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/4.90 % (3182008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/4.90 % (3182008)CaDiCaL version: 2.1.3
% 25.33/4.90 % (3182008)Termination reason: Instruction limit
% 25.33/4.90 % (3182008)Termination phase: Saturation
% 25.33/4.90 % (3182008)Time elapsed: 0.124 s
% 25.33/4.90 % (3182008)Peak memory usage: 89 MB
% 25.33/4.90 % (3182008)Instructions burned: 129 (million)
% 25.33/4.90 % (3182007)Instruction limit reached!
% 25.33/4.90 % (3182007)------------------------------
% 25.33/4.90 % (3182007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/4.90 % (3182007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/4.90 % (3182007)CaDiCaL version: 2.1.3
% 25.33/4.90 % (3182007)Termination reason: Instruction limit
% 25.33/4.90 % (3182007)Termination phase: Saturation
% 25.33/4.90 % (3182007)Time elapsed: 0.140 s
% 25.33/4.90 % (3182007)Peak memory usage: 89 MB
% 25.33/4.90 % (3182007)Instructions burned: 140 (million)
% 25.33/4.90 % (3182006)------------------------------
% 25.33/4.90 % (3182006)------------------------------
% 25.33/4.90 % (3182005)------------------------------
% 25.33/4.90 % (3182005)------------------------------
% 25.33/4.90 % (3182016)lrs+10_1_sil=8000:sp=occurrence:random_seed=1274342586:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 25.33/4.90 % (3182017)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2077127969:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 25.33/4.90 % (3182017)Instruction limit reached!
% 25.33/4.90 % (3182017)------------------------------
% 25.33/4.90 % (3182017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/4.90 % (3182017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/4.90 % (3182017)CaDiCaL version: 2.1.3
% 37.18/6.47 % (3182017)Termination reason: Instruction limit
% 37.18/6.47 % (3182017)Termination phase: Saturation
% 37.18/6.47 % (3182017)Time elapsed: 0.142 s
% 37.18/6.47 % (3182017)Peak memory usage: 89 MB
% 37.18/6.47 % (3182017)Instructions burned: 157 (million)
% 37.18/6.47 % (3182016)Instruction limit reached!
% 37.18/6.47 % (3182016)------------------------------
% 37.18/6.47 % (3182016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.18/6.47 % (3182016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.18/6.47 % (3182016)CaDiCaL version: 2.1.3
% 37.18/6.47 % (3182016)Termination reason: Instruction limit
% 37.18/6.47 % (3182016)Termination phase: Saturation
% 37.18/6.47 % (3182016)Time elapsed: 0.278 s
% 37.18/6.47 % (3182016)Peak memory usage: 91 MB
% 37.18/6.47 % (3182016)Instructions burned: 285 (million)
% 37.18/6.47 % (3182019)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4159638922:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 37.18/6.47 % (3182020)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3098685062:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 37.18/6.47 % (3182022)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2215388282:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 37.18/6.47 % (3182022)Refutation not found, incomplete strategy
% 37.18/6.47 % (3182022)------------------------------
% 37.18/6.47 % (3182022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.18/6.47 % (3182022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.18/6.47 % (3182022)CaDiCaL version: 2.1.3
% 37.18/6.47 % (3182022)Termination reason: Refutation not found, incomplete strategy
% 37.18/6.47 % (3182022)Time elapsed: 0.002 s
% 37.18/6.47 % (3182022)Peak memory usage: 87 MB
% 37.18/6.47 % (3182020)Instruction limit reached!
% 37.18/6.47 % (3182020)------------------------------
% 37.18/6.47 % (3182020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.18/6.47 % (3182020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.18/6.47 % (3182020)CaDiCaL version: 2.1.3
% 37.18/6.47 % (3182020)Termination reason: Instruction limit
% 37.18/6.47 % (3182020)Termination phase: Saturation
% 37.18/6.47 % (3182020)Time elapsed: 0.223 s
% 37.18/6.47 % (3182020)Peak memory usage: 89 MB
% 37.18/6.47 % (3182020)Instructions burned: 249 (million)
% 37.18/6.47 % (3182023)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=674372649:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 37.18/6.47 % (3182019)Instruction limit reached!
% 37.18/6.47 % (3182019)------------------------------
% 37.18/6.47 % (3182019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.18/6.47 % (3182019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.18/6.47 % (3182019)CaDiCaL version: 2.1.3
% 37.18/6.47 % (3182019)Termination reason: Instruction limit
% 37.18/6.47 % (3182019)Termination phase: Saturation
% 37.18/6.47 % (3182019)Time elapsed: 0.334 s
% 37.18/6.47 % (3182019)Peak memory usage: 92 MB
% 37.18/6.47 % (3182019)Instructions burned: 325 (million)
% 37.18/6.47 % (3182027)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2842050445:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 37.18/6.47 % (3182022)------------------------------
% 37.18/6.47 % (3182022)------------------------------
% 37.18/6.47 % (3182029)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1464378512:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 37.18/6.47 % (3182027)Instruction limit reached!
% 37.18/6.47 % (3182027)------------------------------
% 37.18/6.47 % (3182027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.18/6.47 % (3182027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.18/6.47 % (3182027)CaDiCaL version: 2.1.3
% 37.18/6.47 % (3182027)Termination reason: Instruction limit
% 37.18/6.47 % (3182027)Termination phase: Saturation
% 37.18/6.47 % (3182027)Time elapsed: 0.114 s
% 37.18/6.47 % (3182027)Peak memory usage: 89 MB
% 37.18/6.47 % (3182027)Instructions burned: 113 (million)
% 37.18/6.47 % (3182029)Instruction limit reached!
% 37.18/6.47 % (3182029)------------------------------
% 37.18/6.47 % (3182029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.18/6.47 % (3182029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182029)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182029)Termination reason: Instruction limit
% 46.51/7.90 % (3182029)Termination phase: Saturation
% 46.51/7.90 % (3182029)Time elapsed: 0.118 s
% 46.51/7.90 % (3182029)Peak memory usage: 88 MB
% 46.51/7.90 % (3182029)Instructions burned: 128 (million)
% 46.51/7.90 % (3182031)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2573141914:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 46.51/7.90 % (3182033)lrs+10_1_sil=8000:sp=occurrence:random_seed=2102172693:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 46.51/7.90 % (3182031)Instruction limit reached!
% 46.51/7.90 % (3182031)------------------------------
% 46.51/7.90 % (3182031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182031)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182031)Termination reason: Instruction limit
% 46.51/7.90 % (3182031)Termination phase: Saturation
% 46.51/7.90 % (3182031)Time elapsed: 0.108 s
% 46.51/7.90 % (3182031)Peak memory usage: 89 MB
% 46.51/7.90 % (3182031)Instructions burned: 114 (million)
% 46.51/7.90 % (3182034)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=985572766:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 46.51/7.90 % (3182034)Refutation not found, incomplete strategy
% 46.51/7.90 % (3182034)------------------------------
% 46.51/7.90 % (3182034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182034)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182034)Termination reason: Refutation not found, incomplete strategy
% 46.51/7.90 % (3182034)Time elapsed: 0.002 s
% 46.51/7.90 % (3182034)Peak memory usage: 88 MB
% 46.51/7.90 % (3182037)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3614236065:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 46.51/7.90 % (3182034)------------------------------
% 46.51/7.90 % (3182034)------------------------------
% 46.51/7.90 % (3182040)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2686084395:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 46.51/7.90 % (3182033)Instruction limit reached!
% 46.51/7.90 % (3182033)------------------------------
% 46.51/7.90 % (3182033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182033)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182033)Termination reason: Instruction limit
% 46.51/7.90 % (3182033)Termination phase: Saturation
% 46.51/7.90 % (3182033)Time elapsed: 0.872 s
% 46.51/7.90 % (3182033)Peak memory usage: 96 MB
% 46.51/7.90 % (3182033)Instructions burned: 907 (million)
% 46.51/7.90 % (3182040)Instruction limit reached!
% 46.51/7.90 % (3182040)------------------------------
% 46.51/7.90 % (3182040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182040)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182040)Termination reason: Instruction limit
% 46.51/7.90 % (3182040)Termination phase: Saturation
% 46.51/7.90 % (3182040)Time elapsed: 0.123 s
% 46.51/7.90 % (3182040)Peak memory usage: 89 MB
% 46.51/7.90 % (3182040)Instructions burned: 134 (million)
% 46.51/7.90 % (3182042)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1040382244:st=8:i=592:sd=3:ep=RST:ss=axioms_2971 on theBenchmark for (2971ds/592Mi)
% 46.51/7.90 % (3182042)Refutation not found, incomplete strategy
% 46.51/7.90 % (3182042)------------------------------
% 46.51/7.90 % (3182042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182042)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182042)Termination reason: Refutation not found, incomplete strategy
% 46.51/7.90 % (3182042)Time elapsed: 0.002 s
% 46.51/7.90 % (3182042)Peak memory usage: 88 MB
% 46.51/7.90 % (3182043)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4008117011:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 46.51/7.90 % (3182042)------------------------------
% 46.51/7.90 % (3182042)------------------------------
% 46.51/7.90 % (3182023)Instruction limit reached!
% 46.51/7.90 % (3182023)------------------------------
% 46.51/7.90 % (3182023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182023)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182023)Termination reason: Instruction limit
% 46.51/7.90 % (3182023)Termination phase: Saturation
% 46.51/7.90 % (3182023)Time elapsed: 2.436 s
% 46.51/7.90 % (3182023)Peak memory usage: 143 MB
% 46.51/7.90 % (3182023)Instructions burned: 2351 (million)
% 46.51/7.90 % (3182046)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1232163365:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/125Mi)
% 46.51/7.90 % (3182046)Instruction limit reached!
% 46.51/7.90 % (3182046)------------------------------
% 46.51/7.90 % (3182046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182046)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182046)Termination reason: Instruction limit
% 46.51/7.90 % (3182046)Termination phase: Saturation
% 46.51/7.90 % (3182046)Time elapsed: 0.102 s
% 46.51/7.90 % (3182046)Peak memory usage: 88 MB
% 46.51/7.90 % (3182046)Instructions burned: 125 (million)
% 46.51/7.90 % (3182047)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3895834848:i=134:gtgl=5:slsql=off:gtg=exists_sym_2962 on theBenchmark for (2962ds/134Mi)
% 46.51/7.90 % (3182047)Instruction limit reached!
% 46.51/7.90 % (3182047)------------------------------
% 46.51/7.90 % (3182047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182047)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182047)Termination reason: Instruction limit
% 46.51/7.90 % (3182047)Termination phase: Saturation
% 46.51/7.90 % (3182047)Time elapsed: 0.126 s
% 46.51/7.90 % (3182047)Peak memory usage: 89 MB
% 46.51/7.90 % (3182047)Instructions burned: 134 (million)
% 46.51/7.90 % (3182049)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4128580708:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 46.51/7.90 % (3182049)Refutation not found, incomplete strategy
% 46.51/7.90 % (3182049)------------------------------
% 46.51/7.90 % (3182049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182049)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182049)Termination reason: Refutation not found, incomplete strategy
% 46.51/7.90 % (3182049)Time elapsed: 0.002 s
% 46.51/7.90 % (3182049)Peak memory usage: 88 MB
% 46.51/7.90 % (3182051)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1752610545:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2958 on theBenchmark for (2958ds/431Mi)
% 46.51/7.90 % (3182049)------------------------------
% 46.51/7.90 % (3182049)------------------------------
% 46.51/7.90 % (3182051)Instruction limit reached!
% 46.51/7.90 % (3182051)------------------------------
% 46.51/7.90 % (3182051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182051)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182051)Termination reason: Instruction limit
% 46.51/7.90 % (3182051)Termination phase: Saturation
% 46.51/7.90 % (3182051)Time elapsed: 0.397 s
% 46.51/7.90 % (3182051)Peak memory usage: 91 MB
% 46.51/7.90 % (3182051)Instructions burned: 432 (million)
% 46.51/7.90 % (3182054)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1837101468:i=6060:aac=none:ins=25_2954 on theBenchmark for (2954ds/6060Mi)
% 46.51/7.90 % (3182055)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1018222688:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 46.51/7.90 % (3182055)Instruction limit reached!
% 46.51/7.90 % (3182055)------------------------------
% 46.51/7.90 % (3182055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.51/7.90 % (3182055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.51/7.90 % (3182055)CaDiCaL version: 2.1.3
% 46.51/7.90 % (3182055)Termination reason: Instruction limit
% 46.51/7.90 % (3182055)Termination phase: Saturation
% 46.51/7.90 % (3182055)Time elapsed: 0.137 s
% 46.51/7.90 % (3182055)Peak memory usage: 89 MB
% 46.51/7.90 % (3182055)Instructions burned: 150 (million)
% 46.51/7.90 % (3182058)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=566859585:i=14155:bd=all_2947 on theBenchmark for (2947ds/14155Mi)
% 46.51/7.90 % (3182043)First to succeed.
% 46.51/7.90 % (3182043)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3181997"
% 46.51/7.90 % (3182043)Refutation found. Thanks to Tanya!
% 46.51/7.90 % SZS status Theorem for theBenchmark
% 46.51/7.90 % SZS output start Proof for theBenchmark
% See solution above
% 47.49/8.22 % (3182043)------------------------------
% 47.49/8.22 % (3182043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.49/8.22 % (3182043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.49/8.22 % (3182043)CaDiCaL version: 2.1.3
% 47.49/8.22 % (3182043)Termination reason: Refutation
% 47.49/8.22 % (3182043)Time elapsed: 3.116 s
% 47.49/8.22 % (3182043)Peak memory usage: 147 MB
% 47.49/8.22 % (3182043)Instructions burned: 2819 (million)
% 47.49/8.22 % (3182043)------------------------------
% 47.49/8.22 % (3182043)------------------------------
% 47.49/8.22 % (3181997)Success in time 6.702 s
% 47.49/8.22 % Vampire exiting
%------------------------------------------------------------------------------