%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL061+1 : 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 11:51:04 AM UTC 2026
% Result : Theorem 73.13s 12.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 5
% Syntax : Number of formulae : 127 ( 71 unt; 0 def)
% Number of atoms : 194 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 136 ( 69 ~; 65 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 389 ( 389 !; 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] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(not(a),c),implies(implies(b,c),implies(implies(a,b),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_59) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),c),implies(implies(b,c),implies(implies(a,b),c)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(not(a),c),implies(implies(b,c),implies(implies(a,b),c)))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(not(a),c),implies(implies(b,c),implies(implies(a,b),c)))),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f13,f14]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f15,f14]) ).
fof(f17,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))) ),
inference(resolution,[],[f16,f13]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(resolution,[],[f16,f15]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f18,f13]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f18,f15]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(X4,X1)))
| is_a_theorem(implies(X3,implies(X0,implies(X4,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f19,f16]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f17,f14]) ).
fof(f32,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f12,f16]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))) ),
inference(resolution,[],[f11,f22]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(X0,X3)) ),
inference(resolution,[],[f30,f13]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X2,X0)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f30,f12]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f51,f14]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f20,f12]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f32,f19]) ).
fof(f87,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f32,f11]) ).
fof(f106,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f82,f87]) ).
fof(f134,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f36,f11]) ).
fof(f143,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f134,f82]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f143,f30]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f143,f16]) ).
fof(f170,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f157,f13]) ).
fof(f184,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f170,f151]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(not(X2),X4)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f184,f30]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X4),X5),X2)))
| is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,X3))) ),
inference(resolution,[],[f240,f19]) ).
fof(f295,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(resolution,[],[f280,f106]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f295,f14]) ).
fof(f326,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f324,f143]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(resolution,[],[f324,f15]) ).
fof(f379,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f326,f86]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f379,f14]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f420,f332]) ).
fof(f432,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X0),implies(X1,implies(X0,X0)))),
inference(resolution,[],[f429,f13]) ).
fof(f461,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X1)))
| ~ is_a_theorem(implies(X1,X1)) ),
inference(resolution,[],[f432,f14]) ).
fof(f462,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(forward_subsumption_resolution,[],[f461,f87]) ).
fof(f477,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f462,f240]) ).
fof(f503,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f477,f324]) ).
fof(f514,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))),
inference(resolution,[],[f477,f82]) ).
fof(f515,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f477,f32]) ).
fof(f518,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f477,f14]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f515,f16]) ).
fof(f537,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X3),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f524,f19]) ).
fof(f663,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f503,f82]) ).
fof(f679,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f663,f324]) ).
fof(f683,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f663,f30]) ).
fof(f693,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f663,f14]) ).
fof(f804,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f679,f86]) ).
fof(f965,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))),
inference(resolution,[],[f537,f514]) ).
fof(f1006,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f965,f324]) ).
fof(f1025,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1006,f18]) ).
fof(f1138,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f1025,f13]) ).
fof(f1139,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(implies(X0,X1),X1))),
inference(resolution,[],[f1025,f106]) ).
fof(f1211,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f1139,f683]) ).
fof(f1229,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(resolution,[],[f1211,f518]) ).
fof(f1238,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1211,f30]) ).
fof(f1254,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f1238,f143]) ).
fof(f1261,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X2,X0),X1)),X3),implies(X2,X3))),
inference(resolution,[],[f1238,f13]) ).
fof(f1298,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[],[f1254,f82]) ).
fof(f1299,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f1254,f32]) ).
fof(f1307,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f1254,f14]) ).
fof(f1316,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1299,f16]) ).
fof(f1328,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
inference(resolution,[],[f1298,f537]) ).
fof(f1353,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f1328,f693]) ).
fof(f1375,plain,
! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0))),
inference(resolution,[],[f1316,f106]) ).
fof(f1381,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f1316,f804]) ).
fof(f1420,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X1),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1381,f62]) ).
fof(f1663,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1353,f62]) ).
fof(f1716,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f1420,f1211]) ).
fof(f1776,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1))),
inference(resolution,[],[f1716,f1025]) ).
fof(f1778,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[],[f1716,f30]) ).
fof(f1837,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,not(X0)),X1))),
inference(resolution,[],[f1778,f1375]) ).
fof(f1838,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,not(X1))),implies(X0,not(X1)))),
inference(resolution,[],[f1837,f537]) ).
fof(f2141,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X1)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f1776,f18]) ).
fof(f2201,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X0),implies(X2,X0))),
inference(resolution,[],[f1663,f106]) ).
fof(f3985,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))),
inference(resolution,[],[f2141,f13]) ).
fof(f4106,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X3),X2)))
| ~ is_a_theorem(implies(X3,implies(X0,X1))) ),
inference(resolution,[],[f3985,f30]) ).
fof(f4161,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(implies(X1,X0),X2),X3),implies(X1,X3)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4106,f1238]) ).
fof(f4311,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X0),X2),X3))
| is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4161,f14]) ).
fof(f4340,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X0),X1),implies(implies(X0,X1),X3)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[],[f4311,f1261]) ).
fof(f4807,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X0),X1),implies(X3,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[],[f4340,f17]) ).
fof(f5360,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X3,implies(X0,X2)))),
inference(resolution,[],[f4807,f1229]) ).
fof(f5644,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X3,X4),X4),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[],[f5360,f62]) ).
fof(f5690,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f5360,f14]) ).
fof(f5700,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),implies(X2,X1)))),
inference(resolution,[],[f5690,f2201]) ).
fof(f5891,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X2,X0),X1)),X3),implies(X4,implies(X2,X3)))),
inference(resolution,[],[f5644,f13]) ).
fof(f6163,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f5700,f86]) ).
fof(f6259,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(X1,X2),implies(X0,X3)))),
inference(resolution,[],[f5891,f4340]) ).
fof(f6333,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f6259,f1238]) ).
fof(f7279,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X0,X2)),X3),implies(implies(X1,X2),X3))),
inference(resolution,[],[f6333,f1238]) ).
fof(f7326,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)) ),
inference(resolution,[],[f6333,f14]) ).
fof(f11380,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X4,X2),implies(X4,X3)),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X3),X1))) ),
inference(resolution,[],[f7279,f30]) ).
fof(f12967,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,implies(X0,X1)),implies(X0,X2)),X3),implies(implies(X1,X2),X3))),
inference(resolution,[],[f11380,f3985]) ).
fof(f13113,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X3,implies(X3,X0)),implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f12967,f14]) ).
fof(f13264,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(implies(X1,implies(X1,X0)),not(X1)))),
inference(resolution,[],[f13113,f1838]) ).
fof(f13279,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,implies(X3,X0))))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[],[f13113,f15]) ).
fof(f13359,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,implies(not(X0),X0)),implies(X2,X1)))),
inference(resolution,[],[f13279,f6163]) ).
fof(f13884,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,implies(X1,X0)),not(X1)))),
inference(resolution,[],[f13264,f1307]) ).
fof(f13948,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(not(X1),not(X0)))),
inference(resolution,[],[f13884,f1025]) ).
fof(f13956,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),not(X1)),X2),implies(implies(X1,X0),X2))),
inference(resolution,[],[f13948,f683]) ).
fof(f14567,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(not(X2),not(X1))))),
inference(resolution,[],[f13956,f537]) ).
fof(f15586,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(not(X2),not(X0))))),
inference(resolution,[],[f14567,f7326]) ).
fof(f15714,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(not(X1),not(X2))))),
inference(resolution,[],[f15586,f1025]) ).
fof(f19303,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,implies(not(X0),X0))))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[],[f13359,f18]) ).
fof(f19428,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X2),implies(implies(X2,X0),X1)))),
inference(resolution,[],[f19303,f13]) ).
fof(f19582,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))),
inference(resolution,[],[f19428,f518]) ).
fof(f19896,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(not(X1),X0),X2))),
inference(resolution,[],[f19582,f56]) ).
fof(f19923,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X1),X0),X2),implies(implies(X1,X0),X2))),
inference(resolution,[],[f19896,f1238]) ).
fof(f24239,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X3),X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X3),X1))) ),
inference(resolution,[],[f19923,f30]) ).
fof(f24740,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,implies(not(X1),X2)),implies(X0,X1)),X3),implies(implies(X2,X1),X3))),
inference(resolution,[],[f24239,f1138]) ).
fof(f28750,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X3,implies(not(X1),X0)),implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f24740,f14]) ).
fof(f28832,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X2,implies(X3,implies(not(X1),X0)))) ),
inference(resolution,[],[f28750,f15]) ).
fof(f28913,plain,
~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(not(c),not(a))))),
inference(resolution,[],[f28832,f10]) ).
fof(f29096,plain,
$false,
inference(forward_subsumption_resolution,[],[f28913,f15714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL061+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 15:19:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 19.83/3.72 % (338533)Detected formulas, will run a generic FOF schedule.
% 19.83/3.72 % (338543)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1308636399:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 19.83/3.72 % (338544)dis-21_1_sil=8000:lcm=predicate:random_seed=665896592: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)
% 19.83/3.72 % (338541)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2392134135:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 19.83/3.72 % (338542)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3282988449:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 19.83/3.72 % (338538)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=1040375587:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 19.83/3.72 % (338539)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=2574515908:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 19.83/3.72 % (338540)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=2258145266:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 19.83/3.72 % (338541)Refutation not found, incomplete strategy
% 19.83/3.72 % (338541)------------------------------
% 19.83/3.72 % (338541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.83/3.72 % (338541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.83/3.72 % (338541)CaDiCaL version: 2.1.3
% 19.83/3.72 % (338541)Termination reason: Refutation not found, incomplete strategy
% 19.83/3.72 % (338541)Time elapsed: 0.001 s
% 19.83/3.72 % (338541)Peak memory usage: 87 MB
% 19.83/3.72 % (338543)Instruction limit reached!
% 19.83/3.72 % (338543)------------------------------
% 19.83/3.72 % (338543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.83/3.72 % (338543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.83/3.72 % (338543)CaDiCaL version: 2.1.3
% 19.83/3.72 % (338543)Termination reason: Instruction limit
% 19.83/3.72 % (338543)Termination phase: Saturation
% 19.83/3.72 % (338543)Time elapsed: 0.082 s
% 19.83/3.72 % (338543)Peak memory usage: 89 MB
% 19.83/3.72 % (338543)Instructions burned: 140 (million)
% 19.83/3.72 % (338542)Instruction limit reached!
% 19.83/3.72 % (338542)------------------------------
% 19.83/3.72 % (338542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.83/3.72 % (338542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.83/3.72 % (338542)CaDiCaL version: 2.1.3
% 19.83/3.72 % (338542)Termination reason: Instruction limit
% 19.83/3.72 % (338542)Termination phase: Saturation
% 19.83/3.72 % (338542)Time elapsed: 0.111 s
% 19.83/3.72 % (338542)Peak memory usage: 87 MB
% 19.83/3.72 % (338542)Instructions burned: 120 (million)
% 19.83/3.72 % (338544)Instruction limit reached!
% 19.83/3.72 % (338544)------------------------------
% 19.83/3.72 % (338544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.83/3.72 % (338544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.83/3.72 % (338544)CaDiCaL version: 2.1.3
% 19.83/3.72 % (338544)Termination reason: Instruction limit
% 19.83/3.72 % (338544)Termination phase: Saturation
% 19.83/3.72 % (338544)Time elapsed: 0.121 s
% 19.83/3.72 % (338544)Peak memory usage: 89 MB
% 19.83/3.72 % (338544)Instructions burned: 129 (million)
% 19.83/3.72 % (338552)lrs+10_1_sil=8000:sp=occurrence:random_seed=2886329032:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 19.83/3.72 % (338541)------------------------------
% 19.83/3.72 % (338541)------------------------------
% 19.83/3.72 % (338553)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3888631171:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 19.83/3.72 % (338554)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3220621859:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 19.83/3.72 % (338552)Instruction limit reached!
% 19.83/3.72 % (338552)------------------------------
% 19.83/3.72 % (338552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.83/3.72 % (338552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.85 % (338552)CaDiCaL version: 2.1.3
% 35.05/5.85 % (338552)Termination reason: Instruction limit
% 35.05/5.85 % (338552)Termination phase: Saturation
% 35.05/5.85 % (338552)Time elapsed: 0.150 s
% 35.05/5.85 % (338552)Peak memory usage: 91 MB
% 35.05/5.85 % (338552)Instructions burned: 285 (million)
% 35.05/5.85 % (338553)Instruction limit reached!
% 35.05/5.85 % (338553)------------------------------
% 35.05/5.85 % (338553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/5.85 % (338553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.85 % (338553)CaDiCaL version: 2.1.3
% 35.05/5.85 % (338553)Termination reason: Instruction limit
% 35.05/5.85 % (338553)Termination phase: Saturation
% 35.05/5.85 % (338553)Time elapsed: 0.146 s
% 35.05/5.85 % (338553)Peak memory usage: 89 MB
% 35.05/5.85 % (338553)Instructions burned: 157 (million)
% 35.05/5.85 % (338557)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=222538093:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 35.05/5.85 % (338559)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=56067112:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 35.05/5.85 % (338559)Refutation not found, incomplete strategy
% 35.05/5.85 % (338559)------------------------------
% 35.05/5.85 % (338559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/5.85 % (338559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.85 % (338559)CaDiCaL version: 2.1.3
% 35.05/5.85 % (338559)Termination reason: Refutation not found, incomplete strategy
% 35.05/5.85 % (338559)Time elapsed: 0.001 s
% 35.05/5.85 % (338559)Peak memory usage: 87 MB
% 35.05/5.85 % (338554)Instruction limit reached!
% 35.05/5.85 % (338554)------------------------------
% 35.05/5.85 % (338554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/5.85 % (338554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.85 % (338554)CaDiCaL version: 2.1.3
% 35.05/5.85 % (338554)Termination reason: Instruction limit
% 35.05/5.85 % (338554)Termination phase: Saturation
% 35.05/5.85 % (338554)Time elapsed: 0.335 s
% 35.05/5.85 % (338554)Peak memory usage: 93 MB
% 35.05/5.85 % (338554)Instructions burned: 325 (million)
% 35.05/5.85 % (338560)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=246369781:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 35.05/5.85 % (338557)Instruction limit reached!
% 35.05/5.85 % (338557)------------------------------
% 35.05/5.85 % (338557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/5.85 % (338557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.85 % (338557)CaDiCaL version: 2.1.3
% 35.05/5.85 % (338557)Termination reason: Instruction limit
% 35.05/5.85 % (338557)Termination phase: Saturation
% 35.05/5.85 % (338557)Time elapsed: 0.219 s
% 35.05/5.85 % (338557)Peak memory usage: 89 MB
% 35.05/5.85 % (338557)Instructions burned: 248 (million)
% 35.05/5.85 % (338559)------------------------------
% 35.05/5.85 % (338559)------------------------------
% 35.05/5.85 % (338563)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4122956860:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 35.05/5.85 % (338563)Instruction limit reached!
% 35.05/5.85 % (338563)------------------------------
% 35.05/5.85 % (338563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/5.85 % (338563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.85 % (338563)CaDiCaL version: 2.1.3
% 35.05/5.85 % (338563)Termination reason: Instruction limit
% 35.05/5.85 % (338563)Termination phase: Saturation
% 35.05/5.85 % (338563)Time elapsed: 0.112 s
% 35.05/5.85 % (338563)Peak memory usage: 89 MB
% 35.05/5.85 % (338563)Instructions burned: 113 (million)
% 35.05/5.85 % (338566)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4059056470:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 35.05/5.85 % (338565)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3468316941:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 35.05/5.85 % (338566)Instruction limit reached!
% 35.05/5.85 % (338566)------------------------------
% 35.05/5.85 % (338566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.05/5.85 % (338566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.44/11.38 % (338566)CaDiCaL version: 2.1.3
% 74.44/11.38 % (338566)Termination reason: Instruction limit
% 74.44/11.38 % (338566)Termination phase: Saturation
% 74.44/11.38 % (338566)Time elapsed: 0.066 s
% 74.44/11.38 % (338566)Peak memory usage: 89 MB
% 74.44/11.38 % (338566)Instructions burned: 114 (million)
% 74.44/11.38 % (338565)Instruction limit reached!
% 74.44/11.38 % (338565)------------------------------
% 74.44/11.38 % (338565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.44/11.38 % (338565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.44/11.38 % (338565)CaDiCaL version: 2.1.3
% 74.44/11.38 % (338565)Termination reason: Instruction limit
% 74.44/11.38 % (338565)Termination phase: Saturation
% 74.44/11.38 % (338565)Time elapsed: 0.114 s
% 74.44/11.38 % (338565)Peak memory usage: 88 MB
% 74.44/11.38 % (338565)Instructions burned: 127 (million)
% 74.44/11.38 % (338571)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1152626706:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 74.44/11.38 % (338571)Refutation not found, incomplete strategy
% 74.44/11.38 % (338571)------------------------------
% 74.44/11.38 % (338571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.44/11.38 % (338571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.44/11.38 % (338571)CaDiCaL version: 2.1.3
% 74.44/11.38 % (338571)Termination reason: Refutation not found, incomplete strategy
% 74.44/11.38 % (338571)Time elapsed: 0.001 s
% 74.44/11.38 % (338571)Peak memory usage: 88 MB
% 74.44/11.38 % (338569)lrs+10_1_sil=8000:sp=occurrence:random_seed=505225856:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 74.44/11.38 % (338572)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3801948406:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 74.44/11.38 % (338571)------------------------------
% 74.44/11.38 % (338571)------------------------------
% 74.44/11.38 % (338576)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=118243800:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 74.44/11.38 % (338576)Instruction limit reached!
% 74.44/11.38 % (338576)------------------------------
% 74.44/11.38 % (338576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.44/11.38 % (338576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.44/11.38 % (338576)CaDiCaL version: 2.1.3
% 74.44/11.38 % (338576)Termination reason: Instruction limit
% 74.44/11.38 % (338576)Termination phase: Saturation
% 74.44/11.38 % (338576)Time elapsed: 0.121 s
% 74.44/11.38 % (338576)Peak memory usage: 89 MB
% 74.44/11.38 % (338576)Instructions burned: 135 (million)
% 74.44/11.38 % (338569)Instruction limit reached!
% 74.44/11.38 % (338569)------------------------------
% 74.44/11.38 % (338569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.44/11.38 % (338569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.44/11.38 % (338569)CaDiCaL version: 2.1.3
% 74.44/11.38 % (338569)Termination reason: Instruction limit
% 74.44/11.38 % (338569)Termination phase: Saturation
% 74.44/11.38 % (338569)Time elapsed: 0.906 s
% 74.44/11.38 % (338569)Peak memory usage: 95 MB
% 74.44/11.38 % (338569)Instructions burned: 909 (million)
% 74.44/11.38 % (338578)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=137976996:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 74.44/11.38 % (338578)Refutation not found, incomplete strategy
% 74.44/11.38 % (338578)------------------------------
% 74.44/11.38 % (338578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.44/11.38 % (338578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.44/11.38 % (338578)CaDiCaL version: 2.1.3
% 74.44/11.38 % (338578)Termination reason: Refutation not found, incomplete strategy
% 74.44/11.38 % (338578)Time elapsed: 0.002 s
% 74.44/11.38 % (338578)Peak memory usage: 87 MB
% 74.44/11.38 % (338560)Instruction limit reached!
% 74.44/11.38 % (338560)------------------------------
% 74.44/11.38 % (338560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.44/11.38 % (338560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.44/11.38 % (338560)CaDiCaL version: 2.1.3
% 74.44/11.38 % (338560)Termination reason: Instruction limit
% 74.44/11.38 % (338560)Termination phase: Saturation
% 74.44/11.38 % (338560)Time elapsed: 1.759 s
% 74.44/11.38 % (338560)Peak memory usage: 141 MB
% 74.44/11.38 % (338560)Instructions burned: 2350 (million)
% 73.13/12.48 % (338579)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2184247956:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 73.13/12.48 % (338578)------------------------------
% 73.13/12.48 % (338578)------------------------------
% 73.13/12.48 % (338581)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=2495611100:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 73.13/12.48 % (338581)Instruction limit reached!
% 73.13/12.48 % (338581)------------------------------
% 73.13/12.48 % (338581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338581)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338581)Termination reason: Instruction limit
% 73.13/12.48 % (338581)Termination phase: Saturation
% 73.13/12.48 % (338581)Time elapsed: 0.065 s
% 73.13/12.48 % (338581)Peak memory usage: 89 MB
% 73.13/12.48 % (338581)Instructions burned: 126 (million)
% 73.13/12.48 % (338583)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1476134984:i=134:gtgl=5:slsql=off:gtg=exists_sym_2968 on theBenchmark for (2968ds/134Mi)
% 73.13/12.48 % (338585)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=636967327:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/141Mi)
% 73.13/12.48 % (338585)Refutation not found, incomplete strategy
% 73.13/12.48 % (338585)------------------------------
% 73.13/12.48 % (338585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338585)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338585)Termination reason: Refutation not found, incomplete strategy
% 73.13/12.48 % (338585)Time elapsed: 0.001 s
% 73.13/12.48 % (338585)Peak memory usage: 88 MB
% 73.13/12.48 % (338583)Instruction limit reached!
% 73.13/12.48 % (338583)------------------------------
% 73.13/12.48 % (338583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338583)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338583)Termination reason: Instruction limit
% 73.13/12.48 % (338583)Termination phase: Saturation
% 73.13/12.48 % (338583)Time elapsed: 0.143 s
% 73.13/12.48 % (338583)Peak memory usage: 90 MB
% 73.13/12.48 % (338583)Instructions burned: 134 (million)
% 73.13/12.48 % (338585)------------------------------
% 73.13/12.48 % (338585)------------------------------
% 73.13/12.48 % (338588)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=855824676:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2964 on theBenchmark for (2964ds/431Mi)
% 73.13/12.48 % (338589)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=2963508945:i=6060:aac=none:ins=25_2963 on theBenchmark for (2963ds/6060Mi)
% 73.13/12.48 % (338588)Instruction limit reached!
% 73.13/12.48 % (338588)------------------------------
% 73.13/12.48 % (338588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338588)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338588)Termination reason: Instruction limit
% 73.13/12.48 % (338588)Termination phase: Saturation
% 73.13/12.48 % (338588)Time elapsed: 0.408 s
% 73.13/12.48 % (338588)Peak memory usage: 91 MB
% 73.13/12.48 % (338588)Instructions burned: 431 (million)
% 73.13/12.48 % (338592)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=3328732023:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2957 on theBenchmark for (2957ds/150Mi)
% 73.13/12.48 % (338592)Instruction limit reached!
% 73.13/12.48 % (338592)------------------------------
% 73.13/12.48 % (338592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338592)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338592)Termination reason: Instruction limit
% 73.13/12.48 % (338592)Termination phase: Saturation
% 73.13/12.48 % (338592)Time elapsed: 0.152 s
% 73.13/12.48 % (338592)Peak memory usage: 90 MB
% 73.13/12.48 % (338592)Instructions burned: 150 (million)
% 73.13/12.48 % (338594)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=309829550:i=14155:bd=all_2953 on theBenchmark for (2953ds/14155Mi)
% 73.13/12.48 % (338589)Instruction limit reached!
% 73.13/12.48 % (338589)------------------------------
% 73.13/12.48 % (338589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338589)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338589)Termination reason: Instruction limit
% 73.13/12.48 % (338589)Termination phase: Saturation
% 73.13/12.48 % (338589)Time elapsed: 2.835 s
% 73.13/12.48 % (338589)Peak memory usage: 140 MB
% 73.13/12.48 % (338589)Instructions burned: 6062 (million)
% 73.13/12.48 % (338596)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3439579440:i=667:av=off:fsr=off_2932 on theBenchmark for (2932ds/667Mi)
% 73.13/12.48 % (338596)Refutation not found, incomplete strategy
% 73.13/12.48 % (338596)------------------------------
% 73.13/12.48 % (338596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338596)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338596)Termination reason: Refutation not found, incomplete strategy
% 73.13/12.48 % (338596)Time elapsed: 0.001 s
% 73.13/12.48 % (338596)Peak memory usage: 87 MB
% 73.13/12.48 % (338596)------------------------------
% 73.13/12.48 % (338596)------------------------------
% 73.13/12.48 % (338572)Instruction limit reached!
% 73.13/12.48 % (338572)------------------------------
% 73.13/12.48 % (338572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338572)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338572)Termination reason: Instruction limit
% 73.13/12.48 % (338572)Termination phase: Saturation
% 73.13/12.48 % (338572)Time elapsed: 5.342 s
% 73.13/12.48 % (338572)Peak memory usage: 157 MB
% 73.13/12.48 % (338572)Instructions burned: 5202 (million)
% 73.13/12.48 % (338598)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=815308451:s2a=on:i=185:s2at=1.8:fdi=4_2928 on theBenchmark for (2928ds/185Mi)
% 73.13/12.48 % (338598)Instruction limit reached!
% 73.13/12.48 % (338598)------------------------------
% 73.13/12.48 % (338598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338598)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338598)Termination reason: Instruction limit
% 73.13/12.48 % (338598)Termination phase: Saturation
% 73.13/12.48 % (338598)Time elapsed: 0.079 s
% 73.13/12.48 % (338598)Peak memory usage: 90 MB
% 73.13/12.48 % (338598)Instructions burned: 186 (million)
% 73.13/12.48 % (338599)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2469370233:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2927 on theBenchmark for (2927ds/193Mi)
% 73.13/12.48 % (338599)Instruction limit reached!
% 73.13/12.48 % (338599)------------------------------
% 73.13/12.48 % (338599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338599)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338599)Termination reason: Instruction limit
% 73.13/12.48 % (338599)Termination phase: Saturation
% 73.13/12.48 % (338599)Time elapsed: 0.185 s
% 73.13/12.48 % (338599)Peak memory usage: 92 MB
% 73.13/12.48 % (338599)Instructions burned: 193 (million)
% 73.13/12.48 % (338602)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=944591085:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2925 on theBenchmark for (2925ds/4850Mi)
% 73.13/12.48 % (338603)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2079622308:i=12111:sd=1:ss=included_2923 on theBenchmark for (2923ds/12111Mi)
% 73.13/12.48 % (338602)Instruction limit reached!
% 73.13/12.48 % (338602)------------------------------
% 73.13/12.48 % (338602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338602)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338602)Termination reason: Instruction limit
% 73.13/12.48 % (338602)Termination phase: Saturation
% 73.13/12.48 % (338602)Time elapsed: 2.789 s
% 73.13/12.48 % (338602)Peak memory usage: 130 MB
% 73.13/12.48 % (338602)Instructions burned: 4851 (million)
% 73.13/12.48 % (338606)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4272337701:i=319:kws=precedence:fsr=off_2894 on theBenchmark for (2894ds/319Mi)
% 73.13/12.48 % (338606)Instruction limit reached!
% 73.13/12.48 % (338606)------------------------------
% 73.13/12.48 % (338606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338606)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338606)Termination reason: Instruction limit
% 73.13/12.48 % (338606)Termination phase: Saturation
% 73.13/12.48 % (338606)Time elapsed: 0.166 s
% 73.13/12.48 % (338606)Peak memory usage: 92 MB
% 73.13/12.48 % (338606)Instructions burned: 320 (million)
% 73.13/12.48 % (338579)First to succeed.
% 73.13/12.48 % (338608)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1133700357:i=2064:ep=RST_2890 on theBenchmark for (2890ds/2064Mi)
% 73.13/12.48 % (338579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-338533"
% 73.13/12.48 % (338608)Refutation not found, incomplete strategy
% 73.13/12.48 % (338608)------------------------------
% 73.13/12.48 % (338608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.13/12.48 % (338608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.13/12.48 % (338608)CaDiCaL version: 2.1.3
% 73.13/12.48 % (338608)Termination reason: Refutation not found, incomplete strategy
% 73.13/12.48 % (338608)Time elapsed: 0.001 s
% 73.13/12.48 % (338608)Peak memory usage: 88 MB
% 73.13/12.48 % (338608)------------------------------
% 73.13/12.48 % (338608)------------------------------
% 73.13/12.48 % (338579)Refutation found. Thanks to Tanya!
% 73.13/12.48 % SZS status Theorem for theBenchmark
% 73.13/12.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/12.81 % (338579)------------------------------
% 0.21/12.81 % (338579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/12.81 % (338579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/12.81 % (338579)CaDiCaL version: 2.1.3
% 0.21/12.81 % (338579)Termination reason: Refutation
% 0.21/12.81 % (338579)Time elapsed: 8.200 s
% 0.21/12.81 % (338579)Peak memory usage: 194 MB
% 0.21/12.81 % (338579)Instructions burned: 8229 (million)
% 0.21/12.81 % (338579)------------------------------
% 0.21/12.81 % (338579)------------------------------
% 0.21/12.81 % (338533)Success in time 11.608 s
% 0.21/12.81 % Vampire exiting
%------------------------------------------------------------------------------