%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL393+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:52:16 AM UTC 2026
% Result : Theorem 39.89s 7.36s
% Output : Refutation 43.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 5
% Syntax : Number of formulae : 144 ( 17 unt; 2 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 416 ( 210 ~; 202 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 466 ( 0 sgn 466 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(n(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(n(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(n(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
~ is_a_theorem(implies(implies(n(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f10,f9]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f11,f9]) ).
fof(f13,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f12,f10]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5)),
inference(resolution,[],[f12,f11]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f14,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f14,f10]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))),
inference(resolution,[],[f15,f11]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ is_a_theorem(X8) ),
inference(resolution,[],[f18,f10]) ).
fof(f21,definition,
( spl0_1
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl0_2
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f28,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X0)))
| is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f10]) ).
fof(f31,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4))
| ~ spl0_2 ),
inference(resolution,[],[f28,f12]) ).
fof(f43,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f31]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(resolution,[],[f16,f14]) ).
fof(f59,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f44,f22]) ).
fof(f60,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f71,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f43,f28]) ).
fof(f84,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f71,f10]) ).
fof(f88,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f84,f10]) ).
fof(f94,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f88,f71]) ).
fof(f96,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f88,f12]) ).
fof(f112,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f96,f16]) ).
fof(f118,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f112,f71]) ).
fof(f125,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f112,f94]) ).
fof(f131,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f118,f88]) ).
fof(f132,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f118,f10]) ).
fof(f133,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f132,f31]) ).
fof(f155,plain,
( ! [X0] : is_a_theorem(implies(implies(n(X0),X0),X0))
| ~ spl0_2 ),
inference(resolution,[],[f133,f16]) ).
fof(f181,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f131,f84]) ).
fof(f194,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f155,f88]) ).
fof(f204,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f194,f84]) ).
fof(f217,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X1,X0)))
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f204,f88]) ).
fof(f235,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f217,f71]) ).
fof(f251,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f235,f15]) ).
fof(f296,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))
| ~ spl0_2 ),
inference(resolution,[],[f181,f71]) ).
fof(f314,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f296,f28]) ).
fof(f323,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f296,f10]) ).
fof(f331,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(n(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f314,f88]) ).
fof(f332,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(n(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f314,f10]) ).
fof(f383,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(X1,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f323,f133]) ).
fof(f411,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X2),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f383,f88]) ).
fof(f422,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f411,f84]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))
| ~ spl0_2 ),
inference(resolution,[],[f125,f31]) ).
fof(f540,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f502,f10]) ).
fof(f545,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f540,f133]) ).
fof(f576,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f545,f540]) ).
fof(f577,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f545,f323]) ).
fof(f583,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(n(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f545,f88]) ).
fof(f590,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f576,f181]) ).
fof(f593,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),n(X1)),implies(X1,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f576,f331]) ).
fof(f604,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f590,f540]) ).
fof(f617,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f604,f112]) ).
fof(f630,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f604,f10]) ).
fof(f662,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f630,f71]) ).
fof(f673,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X1),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f630,f576]) ).
fof(f693,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(n(X1),n(X0)),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f673,f332]) ).
fof(f756,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f577,f331]) ).
fof(f776,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(n(implies(X0,X1)),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f756,f131]) ).
fof(f901,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(n(X0),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f593,f181]) ).
fof(f916,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(n(X1),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f901,f540]) ).
fof(f919,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl0_2 ),
inference(resolution,[],[f901,f194]) ).
fof(f957,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(n(X1),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f916,f583]) ).
fof(f961,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(n(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f916,f10]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f919,f88]) ).
fof(f1033,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f961,f235]) ).
fof(f1056,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))
| is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f1033,f540]) ).
fof(f1074,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X2),implies(implies(X2,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f1056,f502]) ).
fof(f1113,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X2),implies(X0,X2)),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f1074,f10]) ).
fof(f1119,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f1113,f617]) ).
fof(f1138,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f1119,f88]) ).
fof(f1175,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f1138,f604]) ).
fof(f1220,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f1175,f540]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X3),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1220,f88]) ).
fof(f1420,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f1251,f422]) ).
fof(f1430,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f1251,f576]) ).
fof(f1463,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f1430,f630]) ).
fof(f1486,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(n(X1),X1),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1463,f88]) ).
fof(f1661,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X0),X2)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f1420,f630]) ).
fof(f1681,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f1661,f968]) ).
fof(f1697,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f1681,f540]) ).
fof(f1837,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1697,f961]) ).
fof(f1859,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f1837,f125]) ).
fof(f1882,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(X0,X1)))
| is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1837,f88]) ).
fof(f2106,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f1859,f1486]) ).
fof(f2237,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1882,f251]) ).
fof(f2245,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),implies(implies(X2,X1),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f1882,f662]) ).
fof(f2396,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,n(X0)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f2237,f693]) ).
fof(f2413,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2237,f13]) ).
fof(f2429,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,n(X0)),X1))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f2396,f217]) ).
fof(f2675,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f2413,f545]) ).
fof(f2713,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),implies(X2,X0))))
| ~ spl0_2 ),
inference(resolution,[],[f2675,f540]) ).
fof(f2759,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(n(X2),X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f2713,f88]) ).
fof(f2779,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(X0,implies(X3,X1))))
| ~ is_a_theorem(implies(X0,implies(n(X1),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2759,f630]) ).
fof(f7309,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(n(X1),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2779,f583]) ).
fof(f7403,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X2)))
| is_a_theorem(implies(X3,implies(X0,X1)))
| ~ is_a_theorem(implies(X3,implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f7309,f88]) ).
fof(f7474,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,n(X2)),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f7403,f15]) ).
fof(f7523,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,n(X1)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f7474,f84]) ).
fof(f7626,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f7523,f2429]) ).
fof(f7699,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),X1)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f7626,f1056]) ).
fof(f7764,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f7626,f88]) ).
fof(f7819,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f7699,f630]) ).
fof(f7851,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,X3),implies(implies(X0,implies(X3,X2)),implies(X1,X2))))
| ~ is_a_theorem(implies(n(X0),implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f7819,f540]) ).
fof(f8252,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X0),implies(X0,X1)))
| is_a_theorem(implies(implies(X2,implies(X2,X1)),implies(implies(X0,X2),implies(X0,X1)))) )
| ~ spl0_2 ),
inference(resolution,[],[f7851,f2245]) ).
fof(f8301,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X2,implies(X2,X1)),implies(implies(X0,X2),implies(X0,X1))))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f8252,f756]) ).
fof(f8307,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X0,X2)),X3),implies(implies(X1,X2),X3)))
| ~ spl0_2 ),
inference(resolution,[],[f8301,f181]) ).
fof(f8341,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X2,implies(X2,X3))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3)))) )
| ~ spl0_2 ),
inference(resolution,[],[f8301,f88]) ).
fof(f10021,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X3,X0),implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f8307,f10]) ).
fof(f10109,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X2,X0),X1))))
| ~ spl0_2 ),
inference(resolution,[],[f10021,f604]) ).
fof(f12656,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X3))))
| ~ is_a_theorem(implies(X0,implies(X2,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f10109,f88]) ).
fof(f12733,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f12656,f2106]) ).
fof(f13095,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,implies(X0,X1)),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f12733,f540]) ).
fof(f13171,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X3,X0),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f13095,f8341]) ).
fof(f13212,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(X0,X1)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f13095,f10]) ).
fof(f13286,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f13212,f71]) ).
fof(f14417,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X3,X0),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f13171,f132]) ).
fof(f14717,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X0),implies(implies(X0,X1),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f14417,f630]) ).
fof(f14805,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(implies(X0,X2),implies(X2,X1))))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f14717,f13286]) ).
fof(f15034,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1))))
| ~ is_a_theorem(implies(n(implies(X0,X2)),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f14805,f7764]) ).
fof(f15040,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f15034,f776]) ).
fof(f15092,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X2,implies(X0,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f15040,f383]) ).
fof(f15975,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(X2,implies(implies(X1,X0),X0))))
| ~ spl0_2 ),
inference(resolution,[],[f15092,f540]) ).
fof(f16649,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X2),implies(implies(X2,X0),X0))))
| ~ spl0_2 ),
inference(resolution,[],[f15975,f1056]) ).
fof(f16808,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),X3))))
| ~ is_a_theorem(implies(X0,implies(n(X3),X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f16649,f88]) ).
fof(f16952,plain,
( ~ is_a_theorem(implies(implies(n(x),y),implies(n(y),x)))
| ~ spl0_2 ),
inference(resolution,[],[f16808,f8]) ).
fof(f17020,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f16952,f957]) ).
fof(f17021,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f17020]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s7,plain,
~ spl0_1,
inference(sat_conversion,[],[f60]) ).
cnf(s18,plain,
~ spl0_2,
inference(sat_conversion,[],[f17021]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s18,s7]) ).
fof(f17022,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL393+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n013.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 15:39:00 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.09/4.36 % (366677)Detected formulas, will run a generic FOF schedule.
% 22.09/4.36 % (366683)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=53872054:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 22.09/4.36 % (366682)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=3356972072:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 22.09/4.36 % (366684)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=1264289790:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 22.09/4.36 % (366685)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2848930232:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 22.09/4.36 % (366685)Refutation not found, incomplete strategy
% 22.09/4.36 % (366685)------------------------------
% 22.09/4.36 % (366685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.09/4.36 % (366685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.09/4.36 % (366685)CaDiCaL version: 2.1.3
% 22.09/4.36 % (366685)Termination reason: Refutation not found, incomplete strategy
% 22.09/4.36 % (366685)Time elapsed: 0.002 s
% 22.09/4.36 % (366685)Peak memory usage: 87 MB
% 22.09/4.36 % (366687)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1886538694:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 22.09/4.36 % (366686)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1195265932:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 22.09/4.36 % (366688)dis-21_1_sil=8000:lcm=predicate:random_seed=2753597485: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)
% 22.09/4.36 % (366686)Instruction limit reached!
% 22.09/4.36 % (366686)------------------------------
% 22.09/4.36 % (366686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.09/4.36 % (366686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.09/4.36 % (366686)CaDiCaL version: 2.1.3
% 22.09/4.36 % (366686)Termination reason: Instruction limit
% 22.09/4.36 % (366686)Termination phase: Saturation
% 22.09/4.36 % (366686)Time elapsed: 0.121 s
% 22.09/4.36 % (366686)Peak memory usage: 88 MB
% 22.09/4.36 % (366686)Instructions burned: 120 (million)
% 22.09/4.36 % (366688)Instruction limit reached!
% 22.09/4.36 % (366688)------------------------------
% 22.09/4.36 % (366688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.09/4.36 % (366688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.09/4.36 % (366688)CaDiCaL version: 2.1.3
% 22.09/4.36 % (366688)Termination reason: Instruction limit
% 22.09/4.36 % (366688)Termination phase: Saturation
% 22.09/4.36 % (366688)Time elapsed: 0.130 s
% 22.09/4.36 % (366688)Peak memory usage: 89 MB
% 22.09/4.36 % (366688)Instructions burned: 130 (million)
% 22.09/4.36 % (366687)Instruction limit reached!
% 22.09/4.36 % (366687)------------------------------
% 22.09/4.36 % (366687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.09/4.36 % (366687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.09/4.36 % (366687)CaDiCaL version: 2.1.3
% 22.09/4.36 % (366687)Termination reason: Instruction limit
% 22.09/4.36 % (366687)Termination phase: Saturation
% 22.09/4.36 % (366687)Time elapsed: 0.133 s
% 22.09/4.36 % (366687)Peak memory usage: 89 MB
% 22.09/4.36 % (366687)Instructions burned: 140 (million)
% 22.09/4.36 % (366685)------------------------------
% 22.09/4.36 % (366685)------------------------------
% 22.09/4.36 % (366696)lrs+10_1_sil=8000:sp=occurrence:random_seed=2169315810:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 22.09/4.36 % (366697)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1631611859:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 22.09/4.36 % (366698)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2466767389:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 22.09/4.36 % (366697)Instruction limit reached!
% 22.09/4.36 % (366697)------------------------------
% 22.09/4.36 % (366697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.09/4.36 % (366697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/6.22 % (366697)CaDiCaL version: 2.1.3
% 35.58/6.22 % (366697)Termination reason: Instruction limit
% 35.58/6.22 % (366697)Termination phase: Saturation
% 35.58/6.22 % (366697)Time elapsed: 0.133 s
% 35.58/6.22 % (366697)Peak memory usage: 88 MB
% 35.58/6.22 % (366697)Instructions burned: 157 (million)
% 35.58/6.22 % (366696)Instruction limit reached!
% 35.58/6.22 % (366696)------------------------------
% 35.58/6.22 % (366696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/6.22 % (366696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/6.22 % (366696)CaDiCaL version: 2.1.3
% 35.58/6.22 % (366696)Termination reason: Instruction limit
% 35.58/6.22 % (366696)Termination phase: Saturation
% 35.58/6.22 % (366696)Time elapsed: 0.144 s
% 35.58/6.22 % (366696)Peak memory usage: 91 MB
% 35.58/6.22 % (366696)Instructions burned: 287 (million)
% 35.58/6.22 % (366699)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=3120654958:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 35.58/6.22 % (366698)Instruction limit reached!
% 35.58/6.22 % (366698)------------------------------
% 35.58/6.22 % (366698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/6.22 % (366698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/6.22 % (366698)CaDiCaL version: 2.1.3
% 35.58/6.22 % (366698)Termination reason: Instruction limit
% 35.58/6.22 % (366698)Termination phase: Saturation
% 35.58/6.22 % (366698)Time elapsed: 0.302 s
% 35.58/6.22 % (366698)Peak memory usage: 90 MB
% 35.58/6.22 % (366698)Instructions burned: 325 (million)
% 35.58/6.22 % (366704)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3686506733:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 35.58/6.22 % (366703)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3488678593:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 35.58/6.22 % (366703)Refutation not found, incomplete strategy
% 35.58/6.22 % (366703)------------------------------
% 35.58/6.22 % (366703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/6.22 % (366703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/6.22 % (366703)CaDiCaL version: 2.1.3
% 35.58/6.22 % (366703)Termination reason: Refutation not found, incomplete strategy
% 35.58/6.22 % (366703)Time elapsed: 0.001 s
% 35.58/6.22 % (366703)Peak memory usage: 87 MB
% 35.58/6.22 % (366699)Instruction limit reached!
% 35.58/6.22 % (366699)------------------------------
% 35.58/6.22 % (366699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/6.22 % (366699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/6.22 % (366699)CaDiCaL version: 2.1.3
% 35.58/6.22 % (366699)Termination reason: Instruction limit
% 35.58/6.22 % (366699)Termination phase: Saturation
% 35.58/6.22 % (366699)Time elapsed: 0.209 s
% 35.58/6.22 % (366699)Peak memory usage: 88 MB
% 35.58/6.22 % (366699)Instructions burned: 248 (million)
% 35.58/6.22 % (366706)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=572011840:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 35.58/6.22 % (366706)Instruction limit reached!
% 35.58/6.22 % (366706)------------------------------
% 35.58/6.22 % (366706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/6.22 % (366706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/6.22 % (366706)CaDiCaL version: 2.1.3
% 35.58/6.22 % (366706)Termination reason: Instruction limit
% 35.58/6.22 % (366706)Termination phase: Saturation
% 35.58/6.22 % (366706)Time elapsed: 0.096 s
% 35.58/6.22 % (366706)Peak memory usage: 88 MB
% 35.58/6.22 % (366706)Instructions burned: 114 (million)
% 35.58/6.22 % (366709)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1718260714:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 35.58/6.22 % (366703)------------------------------
% 35.58/6.22 % (366703)------------------------------
% 35.58/6.22 % (366709)Instruction limit reached!
% 35.58/6.22 % (366709)------------------------------
% 35.58/6.22 % (366709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.58/6.22 % (366709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.58/6.22 % (366709)CaDiCaL version: 2.1.3
% 35.58/6.22 % (366709)Termination reason: Instruction limit
% 35.58/6.22 % (366709)Termination phase: Saturation
% 35.58/6.22 % (366709)Time elapsed: 0.106 s
% 39.89/7.36 % (366709)Peak memory usage: 87 MB
% 39.89/7.36 % (366709)Instructions burned: 127 (million)
% 39.89/7.36 % (366711)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=135974707:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 39.89/7.36 % (366713)lrs+10_1_sil=8000:sp=occurrence:random_seed=108576723:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 39.89/7.36 % (366711)Instruction limit reached!
% 39.89/7.36 % (366711)------------------------------
% 39.89/7.36 % (366711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366711)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366711)Termination reason: Instruction limit
% 39.89/7.36 % (366711)Termination phase: Saturation
% 39.89/7.36 % (366711)Time elapsed: 0.095 s
% 39.89/7.36 % (366711)Peak memory usage: 89 MB
% 39.89/7.36 % (366711)Instructions burned: 115 (million)
% 39.89/7.36 % (366714)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1649388724:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 39.89/7.36 % (366714)Refutation not found, incomplete strategy
% 39.89/7.36 % (366714)------------------------------
% 39.89/7.36 % (366714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366714)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366714)Termination reason: Refutation not found, incomplete strategy
% 39.89/7.36 % (366714)Time elapsed: 0.002 s
% 39.89/7.36 % (366714)Peak memory usage: 87 MB
% 39.89/7.36 % (366717)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3045846724:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 39.89/7.36 % (366713)Instruction limit reached!
% 39.89/7.36 % (366713)------------------------------
% 39.89/7.36 % (366713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366713)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366713)Termination reason: Instruction limit
% 39.89/7.36 % (366713)Termination phase: Saturation
% 39.89/7.36 % (366713)Time elapsed: 0.453 s
% 39.89/7.36 % (366713)Peak memory usage: 98 MB
% 39.89/7.36 % (366713)Instructions burned: 907 (million)
% 39.89/7.36 % (366714)------------------------------
% 39.89/7.36 % (366714)------------------------------
% 39.89/7.36 % (366720)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3045559439:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 39.89/7.36 % (366721)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=11418335:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 39.89/7.36 % (366721)Refutation not found, incomplete strategy
% 39.89/7.36 % (366721)------------------------------
% 39.89/7.36 % (366721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366721)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366721)Termination reason: Refutation not found, incomplete strategy
% 39.89/7.36 % (366721)Time elapsed: 0.002 s
% 39.89/7.36 % (366721)Peak memory usage: 87 MB
% 39.89/7.36 % (366720)Instruction limit reached!
% 39.89/7.36 % (366720)------------------------------
% 39.89/7.36 % (366720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366720)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366720)Termination reason: Instruction limit
% 39.89/7.36 % (366720)Termination phase: Saturation
% 39.89/7.36 % (366720)Time elapsed: 0.062 s
% 39.89/7.36 % (366720)Peak memory usage: 88 MB
% 39.89/7.36 % (366720)Instructions burned: 136 (million)
% 39.89/7.36 % (366724)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3807040904:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 39.89/7.36 % (366721)------------------------------
% 39.89/7.36 % (366721)------------------------------
% 39.89/7.36 % (366704)Instruction limit reached!
% 39.89/7.36 % (366704)------------------------------
% 39.89/7.36 % (366704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366704)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366704)Termination reason: Instruction limit
% 39.89/7.36 % (366704)Termination phase: Saturation
% 39.89/7.36 % (366704)Time elapsed: 2.059 s
% 39.89/7.36 % (366704)Peak memory usage: 142 MB
% 39.89/7.36 % (366704)Instructions burned: 2350 (million)
% 39.89/7.36 % (366726)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=2879072127:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 39.89/7.36 % (366726)Instruction limit reached!
% 39.89/7.36 % (366726)------------------------------
% 39.89/7.36 % (366726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366726)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366726)Termination reason: Instruction limit
% 39.89/7.36 % (366726)Termination phase: Saturation
% 39.89/7.36 % (366726)Time elapsed: 0.114 s
% 39.89/7.36 % (366726)Peak memory usage: 88 MB
% 39.89/7.36 % (366726)Instructions burned: 126 (million)
% 39.89/7.36 % (366727)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=618545402:i=134:gtgl=5:slsql=off:gtg=exists_sym_2968 on theBenchmark for (2968ds/134Mi)
% 39.89/7.36 % (366727)Instruction limit reached!
% 39.89/7.36 % (366727)------------------------------
% 39.89/7.36 % (366727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366727)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366727)Termination reason: Instruction limit
% 39.89/7.36 % (366727)Termination phase: Saturation
% 39.89/7.36 % (366727)Time elapsed: 0.119 s
% 39.89/7.36 % (366727)Peak memory usage: 89 MB
% 39.89/7.36 % (366727)Instructions burned: 134 (million)
% 39.89/7.36 % (366729)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=893788200:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/141Mi)
% 39.89/7.36 % (366729)Refutation not found, incomplete strategy
% 39.89/7.36 % (366729)------------------------------
% 39.89/7.36 % (366729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366729)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366729)Termination reason: Refutation not found, incomplete strategy
% 39.89/7.36 % (366729)Time elapsed: 0.002 s
% 39.89/7.36 % (366729)Peak memory usage: 88 MB
% 39.89/7.36 % (366731)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2345837911:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2964 on theBenchmark for (2964ds/431Mi)
% 39.89/7.36 % (366729)------------------------------
% 39.89/7.36 % (366729)------------------------------
% 39.89/7.36 % (366731)Instruction limit reached!
% 39.89/7.36 % (366731)------------------------------
% 39.89/7.36 % (366731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366731)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366731)Termination reason: Instruction limit
% 39.89/7.36 % (366731)Termination phase: Saturation
% 39.89/7.36 % (366731)Time elapsed: 0.372 s
% 39.89/7.36 % (366731)Peak memory usage: 91 MB
% 39.89/7.36 % (366731)Instructions burned: 431 (million)
% 39.89/7.36 % (366734)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=1934208841:i=6060:aac=none:ins=25_2959 on theBenchmark for (2959ds/6060Mi)
% 39.89/7.36 % (366735)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=3721993286:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2957 on theBenchmark for (2957ds/150Mi)
% 39.89/7.36 % (366735)Instruction limit reached!
% 39.89/7.36 % (366735)------------------------------
% 39.89/7.36 % (366735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.89/7.36 % (366735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.89/7.36 % (366735)CaDiCaL version: 2.1.3
% 39.89/7.36 % (366735)Termination reason: Instruction limit
% 39.89/7.36 % (366735)Termination phase: Saturation
% 39.89/7.36 % (366735)Time elapsed: 0.133 s
% 39.89/7.36 % (366735)Peak memory usage: 90 MB
% 39.89/7.36 % (366735)Instructions burned: 151 (million)
% 39.89/7.36 % (366738)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1050512389:i=14155:bd=all_2953 on theBenchmark for (2953ds/14155Mi)
% 39.89/7.36 % (366724)First to succeed.
% 39.89/7.36 % (366724)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-366677"
% 39.89/7.36 % (366724)Refutation found. Thanks to Tanya!
% 39.89/7.36 % SZS status Theorem for theBenchmark
% 39.89/7.36 % SZS output start Proof for theBenchmark
% See solution above
% 43.85/7.56 % (366724)------------------------------
% 43.85/7.56 % (366724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.85/7.56 % (366724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.85/7.56 % (366724)CaDiCaL version: 2.1.3
% 43.85/7.56 % (366724)Termination reason: Refutation
% 43.85/7.56 % (366724)Time elapsed: 2.987 s
% 43.85/7.56 % (366724)Peak memory usage: 171 MB
% 43.85/7.56 % (366724)Instructions burned: 5477 (million)
% 43.85/7.56 % (366724)------------------------------
% 43.85/7.56 % (366724)------------------------------
% 43.85/7.56 % (366677)Success in time 6.119 s
% 43.85/7.56 % Vampire exiting
%------------------------------------------------------------------------------