%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL395+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 77.42s 11.88s
% Output : Refutation 78.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 5
% Syntax : Number of formulae : 113 ( 62 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 125 ( 63 ~; 60 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 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 : 322 ( 322 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(x,y),implies(implies(z,y),implies(implies(not(x),z),y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_61) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(z,y),implies(implies(not(x),z),y)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(z,y),implies(implies(not(x),z),y)))),
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,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(z,y),implies(implies(not(x),z),y)))),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f10,f11]) ).
fof(f16,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,[],[f15,f11]) ).
fof(f18,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,[],[f16,f10]) ).
fof(f19,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f13,f15]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f10]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(resolution,[],[f18,f16]) ).
fof(f24,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[],[f18,f11]) ).
fof(f25,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f18,f19]) ).
fof(f27,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f12,f15]) ).
fof(f28,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f12,f10]) ).
fof(f30,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[],[f27,f15]) ).
fof(f32,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f30,f18]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(not(X0),X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f32,f10]) ).
fof(f40,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,[],[f23,f10]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f40,f10]) ).
fof(f52,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,[],[f43,f13]) ).
fof(f71,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,[],[f24,f10]) ).
fof(f80,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f22,f12]) ).
fof(f109,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,[],[f71,f10]) ).
fof(f110,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f25,f22]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f109,f11]) ).
fof(f144,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f109,f12]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f133,f10]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(X4,implies(X2,X0))) ),
inference(resolution,[],[f152,f11]) ).
fof(f375,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
| is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f171,f10]) ).
fof(f385,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,implies(not(X1),X1))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f375,f30]) ).
fof(f421,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f385,f110]) ).
fof(f438,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f421,f52]) ).
fof(f450,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f438,f385]) ).
fof(f458,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f450,f52]) ).
fof(f468,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f458,f37]) ).
fof(f477,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
inference(resolution,[],[f468,f18]) ).
fof(f497,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f477,f10]) ).
fof(f499,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f497,f28]) ).
fof(f521,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f499,f458]) ).
fof(f526,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f521,f144]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f526,f375]) ).
fof(f593,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f537,f40]) ).
fof(f615,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f537,f421]) ).
fof(f642,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f615,f15]) ).
fof(f648,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f642,f18]) ).
fof(f659,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f642,f10]) ).
fof(f676,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f648,f10]) ).
fof(f702,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f676,f11]) ).
fof(f725,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f676,f421]) ).
fof(f754,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f702,f10]) ).
fof(f834,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X3),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f754,f18]) ).
fof(f837,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f754,f537]) ).
fof(f846,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f754,f10]) ).
fof(f902,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))) ),
inference(resolution,[],[f837,f18]) ).
fof(f947,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f593,f10]) ).
fof(f1337,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f725,f846]) ).
fof(f1360,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f834,f676]) ).
fof(f1863,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[],[f1360,f52]) ).
fof(f1916,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f1337,f526]) ).
fof(f1930,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f1337,f648]) ).
fof(f1944,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X1),X3),implies(X0,X3)))),
inference(resolution,[],[f1337,f11]) ).
fof(f2012,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,implies(X0,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f1930,f846]) ).
fof(f2019,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,[],[f1916,f109]) ).
fof(f2043,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f2019,f642]) ).
fof(f2111,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X1))) ),
inference(resolution,[],[f2043,f109]) ).
fof(f2380,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f1944,f10]) ).
fof(f2387,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(resolution,[],[f2111,f12]) ).
fof(f2487,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(resolution,[],[f2387,f676]) ).
fof(f2489,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X1),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[],[f2387,f15]) ).
fof(f2508,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f2487,f10]) ).
fof(f2515,plain,
! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0))),
inference(resolution,[],[f2508,f80]) ).
fof(f2552,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f2489,f18]) ).
fof(f2580,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X2),implies(implies(X1,X2),X2)))),
inference(resolution,[],[f2552,f18]) ).
fof(f3286,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X3),implies(X0,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2380,f18]) ).
fof(f3611,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(implies(X3,X4),implies(X0,implies(X3,X2)))) ),
inference(resolution,[],[f3286,f52]) ).
fof(f3624,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X2)))),
inference(resolution,[],[f3611,f12]) ).
fof(f3715,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),
inference(resolution,[],[f3624,f537]) ).
fof(f3748,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,X2))),
inference(resolution,[],[f3715,f2012]) ).
fof(f3783,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f3748,f659]) ).
fof(f3856,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f3783,f676]) ).
fof(f3865,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3783,f43]) ).
fof(f3869,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3783,f947]) ).
fof(f3912,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f3856,f15]) ).
fof(f5110,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[],[f3869,f2580]) ).
fof(f5194,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X1),X0),X1))),
inference(resolution,[],[f5110,f676]) ).
fof(f5238,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X1),X0),X2),implies(implies(X1,X0),X2))),
inference(resolution,[],[f5194,f15]) ).
fof(f5315,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f3912,f2019]) ).
fof(f5336,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(resolution,[],[f5315,f902]) ).
fof(f5413,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1))),
inference(resolution,[],[f5336,f676]) ).
fof(f5453,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),X0))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f5413,f10]) ).
fof(f5656,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X0)),implies(X1,not(X0)))),
inference(resolution,[],[f3865,f2387]) ).
fof(f5759,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,not(X0)),not(X0)))),
inference(resolution,[],[f5656,f902]) ).
fof(f5824,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(resolution,[],[f5759,f52]) ).
fof(f7549,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(resolution,[],[f5453,f375]) ).
fof(f13003,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f7549,f526]) ).
fof(f13254,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X3),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f13003,f40]) ).
fof(f13661,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f13254,f1863]) ).
fof(f14996,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),
inference(resolution,[],[f13661,f2515]) ).
fof(f15072,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,not(not(X1))),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f14996,f846]) ).
fof(f16335,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),not(X0)))),
inference(resolution,[],[f15072,f5824]) ).
fof(f16517,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X1),not(X0)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f16335,f846]) ).
fof(f16648,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X2),implies(not(X1),X2)))),
inference(resolution,[],[f16517,f11]) ).
fof(f26290,plain,
$false,
inference(unit_resulting_resolution,[],[f375,f16648,f14,f5238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL395+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:44:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.69/3.30 % (2801871)Detected formulas, will run a generic FOF schedule.
% 16.69/3.30 % (2801916)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=1160864983:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.69/3.30 % (2801918)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2923037608:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.69/3.30 % (2801918)Refutation not found, incomplete strategy
% 16.69/3.30 % (2801918)------------------------------
% 16.69/3.30 % (2801918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.30 % (2801918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.30 % (2801918)CaDiCaL version: 2.1.3
% 16.69/3.30 % (2801918)Termination reason: Refutation not found, incomplete strategy
% 16.69/3.30 % (2801918)Time elapsed: 0.002 s
% 16.69/3.30 % (2801918)Peak memory usage: 87 MB
% 16.69/3.30 % (2801915)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=3142346486:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.69/3.30 % (2801919)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3956592384:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.69/3.30 % (2801920)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3062267075:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.69/3.30 % (2801921)dis-21_1_sil=8000:lcm=predicate:random_seed=1441200630: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)
% 16.69/3.30 % (2801917)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=3347234220:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.69/3.30 % (2801919)Instruction limit reached!
% 16.69/3.30 % (2801919)------------------------------
% 16.69/3.30 % (2801919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.30 % (2801919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.30 % (2801919)CaDiCaL version: 2.1.3
% 16.69/3.30 % (2801919)Termination reason: Instruction limit
% 16.69/3.30 % (2801919)Termination phase: Saturation
% 16.69/3.30 % (2801919)Time elapsed: 0.114 s
% 16.69/3.30 % (2801919)Peak memory usage: 87 MB
% 16.69/3.30 % (2801919)Instructions burned: 119 (million)
% 16.69/3.30 % (2801921)Instruction limit reached!
% 16.69/3.30 % (2801921)------------------------------
% 16.69/3.30 % (2801921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.30 % (2801921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.30 % (2801921)CaDiCaL version: 2.1.3
% 16.69/3.30 % (2801921)Termination reason: Instruction limit
% 16.69/3.30 % (2801921)Termination phase: Saturation
% 16.69/3.30 % (2801921)Time elapsed: 0.125 s
% 16.69/3.30 % (2801921)Peak memory usage: 89 MB
% 16.69/3.30 % (2801921)Instructions burned: 130 (million)
% 16.69/3.30 % (2801920)Instruction limit reached!
% 16.69/3.30 % (2801920)------------------------------
% 16.69/3.30 % (2801920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.30 % (2801920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.69/3.30 % (2801920)CaDiCaL version: 2.1.3
% 16.69/3.30 % (2801920)Termination reason: Instruction limit
% 16.69/3.30 % (2801920)Termination phase: Saturation
% 16.69/3.30 % (2801920)Time elapsed: 0.143 s
% 16.69/3.30 % (2801920)Peak memory usage: 89 MB
% 16.69/3.30 % (2801920)Instructions burned: 139 (million)
% 16.69/3.30 % (2801936)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3311649542:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 16.69/3.30 % (2801935)lrs+10_1_sil=8000:sp=occurrence:random_seed=2034882828:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 16.69/3.30 % (2801918)------------------------------
% 16.69/3.30 % (2801918)------------------------------
% 16.69/3.30 % (2801937)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1083996813:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 16.69/3.30 % (2801936)Instruction limit reached!
% 16.69/3.30 % (2801936)------------------------------
% 16.69/3.30 % (2801936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.69/3.30 % (2801936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.63/5.24 % (2801936)CaDiCaL version: 2.1.3
% 30.63/5.24 % (2801936)Termination reason: Instruction limit
% 30.63/5.24 % (2801936)Termination phase: Saturation
% 30.63/5.24 % (2801936)Time elapsed: 0.149 s
% 30.63/5.24 % (2801936)Peak memory usage: 89 MB
% 30.63/5.24 % (2801936)Instructions burned: 158 (million)
% 30.63/5.24 % (2801940)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=2587523458:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 30.63/5.24 % (2801935)Instruction limit reached!
% 30.63/5.24 % (2801935)------------------------------
% 30.63/5.24 % (2801935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.63/5.24 % (2801935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.63/5.24 % (2801935)CaDiCaL version: 2.1.3
% 30.63/5.24 % (2801935)Termination reason: Instruction limit
% 30.63/5.24 % (2801935)Termination phase: Saturation
% 30.63/5.24 % (2801935)Time elapsed: 0.288 s
% 30.63/5.24 % (2801935)Peak memory usage: 90 MB
% 30.63/5.24 % (2801935)Instructions burned: 285 (million)
% 30.63/5.24 % (2801944)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4004706335:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 30.63/5.24 % (2801944)Refutation not found, incomplete strategy
% 30.63/5.24 % (2801944)------------------------------
% 30.63/5.24 % (2801944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.63/5.24 % (2801944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.63/5.24 % (2801944)CaDiCaL version: 2.1.3
% 30.63/5.24 % (2801944)Termination reason: Refutation not found, incomplete strategy
% 30.63/5.24 % (2801944)Time elapsed: 0.001 s
% 30.63/5.24 % (2801944)Peak memory usage: 87 MB
% 30.63/5.24 % (2801937)Instruction limit reached!
% 30.63/5.24 % (2801937)------------------------------
% 30.63/5.24 % (2801937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.63/5.24 % (2801937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.63/5.24 % (2801937)CaDiCaL version: 2.1.3
% 30.63/5.24 % (2801937)Termination reason: Instruction limit
% 30.63/5.24 % (2801937)Termination phase: Saturation
% 30.63/5.24 % (2801937)Time elapsed: 0.332 s
% 30.63/5.24 % (2801937)Peak memory usage: 93 MB
% 30.63/5.24 % (2801937)Instructions burned: 325 (million)
% 30.63/5.24 % (2801940)Instruction limit reached!
% 30.63/5.24 % (2801940)------------------------------
% 30.63/5.24 % (2801940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.63/5.24 % (2801940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.63/5.24 % (2801940)CaDiCaL version: 2.1.3
% 30.63/5.24 % (2801940)Termination reason: Instruction limit
% 30.63/5.24 % (2801940)Termination phase: Saturation
% 30.63/5.24 % (2801940)Time elapsed: 0.220 s
% 30.63/5.24 % (2801940)Peak memory usage: 89 MB
% 30.63/5.24 % (2801940)Instructions burned: 248 (million)
% 30.63/5.24 % (2801946)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4041798968:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 30.63/5.24 % (2801950)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1372345631:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 30.63/5.24 % (2801944)------------------------------
% 30.63/5.24 % (2801944)------------------------------
% 30.63/5.24 % (2801951)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3681858488:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 30.63/5.24 % (2801950)Instruction limit reached!
% 30.63/5.24 % (2801950)------------------------------
% 30.63/5.24 % (2801950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.63/5.24 % (2801950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.63/5.24 % (2801950)CaDiCaL version: 2.1.3
% 30.63/5.24 % (2801950)Termination reason: Instruction limit
% 30.63/5.24 % (2801950)Termination phase: Saturation
% 30.63/5.24 % (2801950)Time elapsed: 0.068 s
% 30.63/5.24 % (2801950)Peak memory usage: 89 MB
% 30.63/5.24 % (2801950)Instructions burned: 113 (million)
% 30.63/5.24 % (2801951)Instruction limit reached!
% 30.63/5.24 % (2801951)------------------------------
% 30.63/5.24 % (2801951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.63/5.24 % (2801951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.63/5.24 % (2801951)CaDiCaL version: 2.1.3
% 73.90/11.37 % (2801951)Termination reason: Instruction limit
% 73.90/11.37 % (2801951)Termination phase: Saturation
% 73.90/11.37 % (2801951)Time elapsed: 0.108 s
% 73.90/11.37 % (2801951)Peak memory usage: 88 MB
% 73.90/11.37 % (2801951)Instructions burned: 128 (million)
% 73.90/11.37 % (2801956)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3881442837:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 73.90/11.37 % (2801958)lrs+10_1_sil=8000:sp=occurrence:random_seed=1992489366:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 73.90/11.37 % (2801960)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2818845971:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 73.90/11.37 % (2801960)Refutation not found, incomplete strategy
% 73.90/11.37 % (2801960)------------------------------
% 73.90/11.37 % (2801960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.90/11.37 % (2801960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.90/11.37 % (2801960)CaDiCaL version: 2.1.3
% 73.90/11.37 % (2801960)Termination reason: Refutation not found, incomplete strategy
% 73.90/11.37 % (2801960)Time elapsed: 0.001 s
% 73.90/11.37 % (2801960)Peak memory usage: 87 MB
% 73.90/11.37 % (2801956)Instruction limit reached!
% 73.90/11.37 % (2801956)------------------------------
% 73.90/11.37 % (2801956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.90/11.37 % (2801956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.90/11.37 % (2801956)CaDiCaL version: 2.1.3
% 73.90/11.37 % (2801956)Termination reason: Instruction limit
% 73.90/11.37 % (2801956)Termination phase: Saturation
% 73.90/11.37 % (2801956)Time elapsed: 0.123 s
% 73.90/11.37 % (2801956)Peak memory usage: 89 MB
% 73.90/11.37 % (2801956)Instructions burned: 114 (million)
% 73.90/11.37 % (2801960)------------------------------
% 73.90/11.37 % (2801960)------------------------------
% 73.90/11.37 % (2801965)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1858792099:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 73.90/11.37 % (2801968)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1324670927:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 73.90/11.37 % (2801968)Instruction limit reached!
% 73.90/11.37 % (2801968)------------------------------
% 73.90/11.37 % (2801968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.90/11.37 % (2801968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.90/11.37 % (2801968)CaDiCaL version: 2.1.3
% 73.90/11.37 % (2801968)Termination reason: Instruction limit
% 73.90/11.37 % (2801968)Termination phase: Saturation
% 73.90/11.37 % (2801968)Time elapsed: 0.067 s
% 73.90/11.37 % (2801968)Peak memory usage: 89 MB
% 73.90/11.37 % (2801968)Instructions burned: 135 (million)
% 73.90/11.37 % (2801972)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1701219930:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 73.90/11.37 % (2801972)Refutation not found, incomplete strategy
% 73.90/11.37 % (2801972)------------------------------
% 73.90/11.37 % (2801972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.90/11.37 % (2801972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.90/11.37 % (2801972)CaDiCaL version: 2.1.3
% 73.90/11.37 % (2801972)Termination reason: Refutation not found, incomplete strategy
% 73.90/11.37 % (2801972)Time elapsed: 0.001 s
% 73.90/11.37 % (2801972)Peak memory usage: 87 MB
% 73.90/11.37 % (2801958)Instruction limit reached!
% 73.90/11.37 % (2801958)------------------------------
% 73.90/11.37 % (2801958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.90/11.37 % (2801958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.90/11.37 % (2801958)CaDiCaL version: 2.1.3
% 73.90/11.37 % (2801958)Termination reason: Instruction limit
% 73.90/11.37 % (2801958)Termination phase: Saturation
% 73.90/11.37 % (2801958)Time elapsed: 0.890 s
% 73.90/11.37 % (2801958)Peak memory usage: 95 MB
% 73.90/11.37 % (2801958)Instructions burned: 907 (million)
% 73.90/11.37 % (2801972)------------------------------
% 73.90/11.37 % (2801972)------------------------------
% 73.90/11.37 % (2801977)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=3352595492:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 77.42/11.88 % (2801976)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=569051426:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 77.42/11.88 % (2801977)Instruction limit reached!
% 77.42/11.88 % (2801977)------------------------------
% 77.42/11.88 % (2801977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801977)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801977)Termination reason: Instruction limit
% 77.42/11.88 % (2801977)Termination phase: Saturation
% 77.42/11.88 % (2801977)Time elapsed: 0.070 s
% 77.42/11.88 % (2801977)Peak memory usage: 89 MB
% 77.42/11.88 % (2801977)Instructions burned: 126 (million)
% 77.42/11.88 % (2801980)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=541053702:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 77.42/11.88 % (2801980)Instruction limit reached!
% 77.42/11.88 % (2801980)------------------------------
% 77.42/11.88 % (2801980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801980)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801980)Termination reason: Instruction limit
% 77.42/11.88 % (2801980)Termination phase: Saturation
% 77.42/11.88 % (2801980)Time elapsed: 0.114 s
% 77.42/11.88 % (2801980)Peak memory usage: 90 MB
% 77.42/11.88 % (2801980)Instructions burned: 135 (million)
% 77.42/11.88 % (2801982)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=59691809:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 77.42/11.88 % (2801982)Refutation not found, incomplete strategy
% 77.42/11.88 % (2801982)------------------------------
% 77.42/11.88 % (2801982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801982)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801982)Termination reason: Refutation not found, incomplete strategy
% 77.42/11.88 % (2801982)Time elapsed: 0.001 s
% 77.42/11.88 % (2801982)Peak memory usage: 88 MB
% 77.42/11.88 % (2801982)------------------------------
% 77.42/11.88 % (2801982)------------------------------
% 77.42/11.88 % (2801946)Instruction limit reached!
% 77.42/11.88 % (2801946)------------------------------
% 77.42/11.88 % (2801946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801946)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801946)Termination reason: Instruction limit
% 77.42/11.88 % (2801946)Termination phase: Saturation
% 77.42/11.88 % (2801946)Time elapsed: 2.473 s
% 77.42/11.88 % (2801946)Peak memory usage: 141 MB
% 77.42/11.88 % (2801946)Instructions burned: 2350 (million)
% 77.42/11.88 % (2801984)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3169281638:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 77.42/11.88 % (2801989)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=2857917002:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 77.42/11.88 % (2801984)Instruction limit reached!
% 77.42/11.88 % (2801984)------------------------------
% 77.42/11.88 % (2801984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801984)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801984)Termination reason: Instruction limit
% 77.42/11.88 % (2801984)Termination phase: Saturation
% 77.42/11.88 % (2801984)Time elapsed: 0.395 s
% 77.42/11.88 % (2801984)Peak memory usage: 91 MB
% 77.42/11.88 % (2801984)Instructions burned: 431 (million)
% 77.42/11.88 % (2801992)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=541278815:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2960 on theBenchmark for (2960ds/150Mi)
% 77.42/11.88 % (2801992)Instruction limit reached!
% 77.42/11.88 % (2801992)------------------------------
% 77.42/11.88 % (2801992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801992)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801992)Termination reason: Instruction limit
% 77.42/11.88 % (2801992)Termination phase: Saturation
% 77.42/11.88 % (2801992)Time elapsed: 0.153 s
% 77.42/11.88 % (2801992)Peak memory usage: 90 MB
% 77.42/11.88 % (2801992)Instructions burned: 150 (million)
% 77.42/11.88 % (2801994)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=434507363:i=14155:bd=all_2956 on theBenchmark for (2956ds/14155Mi)
% 77.42/11.88 % (2801965)Instruction limit reached!
% 77.42/11.88 % (2801965)------------------------------
% 77.42/11.88 % (2801965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801965)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801965)Termination reason: Instruction limit
% 77.42/11.88 % (2801965)Termination phase: Saturation
% 77.42/11.88 % (2801965)Time elapsed: 5.135 s
% 77.42/11.88 % (2801965)Peak memory usage: 155 MB
% 77.42/11.88 % (2801965)Instructions burned: 5202 (million)
% 77.42/11.88 % (2802002)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3049650114:i=667:av=off:fsr=off_2932 on theBenchmark for (2932ds/667Mi)
% 77.42/11.88 % (2802002)Refutation not found, incomplete strategy
% 77.42/11.88 % (2802002)------------------------------
% 77.42/11.88 % (2802002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2802002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2802002)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2802002)Termination reason: Refutation not found, incomplete strategy
% 77.42/11.88 % (2802002)Time elapsed: 0.001 s
% 77.42/11.88 % (2802002)Peak memory usage: 87 MB
% 77.42/11.88 % (2802002)------------------------------
% 77.42/11.88 % (2802002)------------------------------
% 77.42/11.88 % (2802004)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=4246295255:s2a=on:i=185:s2at=1.8:fdi=4_2926 on theBenchmark for (2926ds/185Mi)
% 77.42/11.88 % (2802004)Instruction limit reached!
% 77.42/11.88 % (2802004)------------------------------
% 77.42/11.88 % (2802004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2802004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2802004)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2802004)Termination reason: Instruction limit
% 77.42/11.88 % (2802004)Termination phase: Saturation
% 77.42/11.88 % (2802004)Time elapsed: 0.154 s
% 77.42/11.88 % (2802004)Peak memory usage: 90 MB
% 77.42/11.88 % (2802004)Instructions burned: 185 (million)
% 77.42/11.88 % (2802008)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1415500502:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2922 on theBenchmark for (2922ds/193Mi)
% 77.42/11.88 % (2802008)Instruction limit reached!
% 77.42/11.88 % (2802008)------------------------------
% 77.42/11.88 % (2802008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2802008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2802008)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2802008)Termination reason: Instruction limit
% 77.42/11.88 % (2802008)Termination phase: Saturation
% 77.42/11.88 % (2802008)Time elapsed: 0.197 s
% 77.42/11.88 % (2802008)Peak memory usage: 92 MB
% 77.42/11.88 % (2802008)Instructions burned: 193 (million)
% 77.42/11.88 % (2802010)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2657506807:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2918 on theBenchmark for (2918ds/4850Mi)
% 77.42/11.88 % (2801989)Instruction limit reached!
% 77.42/11.88 % (2801989)------------------------------
% 77.42/11.88 % (2801989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.42/11.88 % (2801989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.42/11.88 % (2801989)CaDiCaL version: 2.1.3
% 77.42/11.88 % (2801989)Termination reason: Instruction limit
% 77.42/11.88 % (2801989)Termination phase: Saturation
% 77.42/11.88 % (2801989)Time elapsed: 5.397 s
% 77.42/11.88 % (2801989)Peak memory usage: 140 MB
% 77.42/11.88 % (2801989)Instructions burned: 6061 (million)
% 77.42/11.88 % (2802012)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=330527489:i=12111:sd=1:ss=included_2908 on theBenchmark for (2908ds/12111Mi)
% 77.42/11.88 % (2801916)First to succeed.
% 77.42/11.88 % (2801916)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2801871"
% 77.42/11.88 % (2801916)Refutation found. Thanks to Tanya!
% 77.42/11.88 % SZS status Theorem for theBenchmark
% 77.42/11.88 % SZS output start Proof for theBenchmark
% See solution above
% 78.29/12.23 % (2801916)------------------------------
% 78.29/12.23 % (2801916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.29/12.23 % (2801916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.29/12.23 % (2801916)CaDiCaL version: 2.1.3
% 78.29/12.23 % (2801916)Termination reason: Refutation
% 78.29/12.23 % (2801916)Time elapsed: 10.348 s
% 78.29/12.23 % (2801916)Peak memory usage: 195 MB
% 78.29/12.23 % (2801916)Instructions burned: 10979 (million)
% 78.29/12.23 % (2801916)------------------------------
% 78.29/12.23 % (2801916)------------------------------
% 78.29/12.23 % (2801871)Success in time 11.004 s
% 78.29/12.23 % Vampire exiting
%------------------------------------------------------------------------------