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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL391+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:52:14 AM UTC 2026

% Result   : Theorem 17.04s 3.23s
% Output   : Refutation 17.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  101 (  58 unt;   0 def)
%            Number of atoms       :  154 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  107 (  54   ~;  51   |;   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  285 ( 285   !;   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(x,not(y)),not(x)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_55) ).

fof(f6,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(x,not(y)),not(x)))),
    inference(negated_conjecture,[status(cth)],[f5]) ).

fof(f7,plain,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(x,not(y)),not(x)))),
    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(x,not(y)),not(x)))),
    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,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
    inference(resolution,[],[f12,f15]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(not(X0),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f12,f10]) ).

fof(f25,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
    inference(resolution,[],[f23,f15]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))
      | is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f25,f10]) ).

fof(f29,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(f30,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
    inference(resolution,[],[f18,f25]) ).

fof(f31,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(f33,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f18,f19]) ).

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,[],[f30,f10]) ).

fof(f69,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,[],[f31,f10]) ).

fof(f73,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,[],[f29,f10]) ).

fof(f78,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,[],[f73,f10]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(X0,implies(implies(implies(X2,X4),implies(X1,X4)),X3)))
      | is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
    inference(resolution,[],[f78,f11]) ).

fof(f89,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,[],[f78,f13]) ).

fof(f105,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
    inference(resolution,[],[f33,f22]) ).

fof(f122,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,[],[f69,f10]) ).

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,[],[f122,f11]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X1),X0))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f122,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(f472,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(f483,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,[],[f472,f25]) ).

fof(f517,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(resolution,[],[f483,f105]) ).

fof(f537,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
    inference(resolution,[],[f517,f89]) ).

fof(f551,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
    inference(resolution,[],[f537,f483]) ).

fof(f559,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f551,f89]) ).

fof(f567,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    inference(resolution,[],[f559,f37]) ).

fof(f583,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
    inference(resolution,[],[f567,f18]) ).

fof(f606,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(not(X0),implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f583,f10]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f606,f24]) ).

fof(f631,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f608,f559]) ).

fof(f636,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    inference(resolution,[],[f631,f144]) ).

fof(f649,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f636,f472]) ).

fof(f726,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f649,f73]) ).

fof(f748,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f649,f517]) ).

fof(f787,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(resolution,[],[f748,f79]) ).

fof(f791,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f748,f15]) ).

fof(f806,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(not(X2),X1)))),
    inference(resolution,[],[f787,f89]) ).

fof(f813,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f787,f10]) ).

fof(f819,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f791,f18]) ).

fof(f852,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f819,f10]) ).

fof(f965,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f813,f10]) ).

fof(f1062,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f726,f10]) ).

fof(f1193,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X1,X2)))),
    inference(resolution,[],[f806,f483]) ).

fof(f1222,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X0,X1)))),
    inference(resolution,[],[f1193,f852]) ).

fof(f1241,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
    inference(resolution,[],[f1222,f89]) ).

fof(f1275,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f1241,f10]) ).

fof(f1296,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
      | is_a_theorem(implies(X3,implies(X0,X2))) ),
    inference(resolution,[],[f1275,f89]) ).

fof(f1785,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
    inference(resolution,[],[f1296,f12]) ).

fof(f1849,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[],[f1785,f852]) ).

fof(f1855,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X2),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1785,f965]) ).

fof(f1857,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,[],[f1785,f78]) ).

fof(f1891,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1849,f965]) ).

fof(f1977,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(resolution,[],[f1891,f1849]) ).

fof(f2015,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(resolution,[],[f1855,f23]) ).

fof(f2123,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,implies(X3,X0)),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1977,f965]) ).

fof(f2144,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(implies(X3,X0),X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f2123,f726]) ).

fof(f2217,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f2015,f1062]) ).

fof(f2460,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
    inference(resolution,[],[f1857,f30]) ).

fof(f2549,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[],[f2460,f2217]) ).

fof(f2572,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
    inference(resolution,[],[f2549,f18]) ).

fof(f2612,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X1),X0),X1))),
    inference(resolution,[],[f2572,f852]) ).

fof(f2614,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X1,X0),X0),X2))
      | is_a_theorem(implies(implies(not(X0),X1),X2)) ),
    inference(resolution,[],[f2572,f965]) ).

fof(f3568,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),
    inference(resolution,[],[f2614,f567]) ).

fof(f3607,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(not(X2),X1),X3)))
      | is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3))) ),
    inference(resolution,[],[f3568,f78]) ).

fof(f3921,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    inference(resolution,[],[f3607,f2612]) ).

fof(f4036,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
    inference(resolution,[],[f3921,f852]) ).

fof(f4087,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(not(X2),X0))
      | is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X1))) ),
    inference(resolution,[],[f4036,f122]) ).

fof(f4427,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
    inference(resolution,[],[f4087,f631]) ).

fof(f4482,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
    inference(resolution,[],[f4427,f1857]) ).

fof(f4524,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
    inference(resolution,[],[f4482,f2144]) ).

fof(f4533,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X3,X0),X2))
      | is_a_theorem(implies(implies(implies(X0,X1),X0),X2)) ),
    inference(resolution,[],[f4482,f965]) ).

fof(f5416,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),implies(X3,X2)))),
    inference(resolution,[],[f4533,f11]) ).

fof(f5492,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(implies(X0,X1),X2),implies(X3,X2)))),
    inference(resolution,[],[f5416,f18]) ).

fof(f5545,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X2,X0),implies(X3,implies(X2,X1))))),
    inference(resolution,[],[f5492,f79]) ).

fof(f5738,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X2,X0),implies(X2,X1)))),
    inference(resolution,[],[f5545,f649]) ).

fof(f5833,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X1,X2)))
      | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
    inference(resolution,[],[f5738,f10]) ).

fof(f5902,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1))),
    inference(resolution,[],[f5833,f4524]) ).

fof(f5995,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
    inference(resolution,[],[f5902,f18]) ).

fof(f6027,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,not(X0)),not(X0)))),
    inference(resolution,[],[f5995,f28]) ).

fof(f6102,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
    inference(resolution,[],[f6027,f89]) ).

fof(f6114,plain,
    $false,
    inference(unit_resulting_resolution,[],[f78,f6027,f14,f6102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL391+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n006.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 15:38:41 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.29/2.47  % (3119354)Detected formulas, will run a generic FOF schedule.
% 11.29/2.47  % (3119359)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=644070530:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.29/2.47  % (3119362)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=288614572:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.29/2.47  % (3119361)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=3465195451:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.29/2.47  % (3119365)dis-21_1_sil=8000:lcm=predicate:random_seed=2924284554: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)
% 11.29/2.47  % (3119364)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2220765927:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.29/2.47  % (3119360)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=2579435797:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.29/2.47  % (3119363)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3830365053:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.29/2.47  % (3119362)Refutation not found, incomplete strategy
% 11.29/2.47  % (3119362)------------------------------
% 11.29/2.47  % (3119362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.47  % (3119362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.47  % (3119362)CaDiCaL version: 2.1.3
% 11.29/2.47  % (3119362)Termination reason: Refutation not found, incomplete strategy
% 11.29/2.47  % (3119362)Time elapsed: 0.001 s
% 11.29/2.47  % (3119362)Peak memory usage: 87 MB
% 11.29/2.47  % (3119363)Instruction limit reached! 
% 11.29/2.47  % (3119363)------------------------------
% 11.29/2.47  % (3119363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.47  % (3119363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.47  % (3119363)CaDiCaL version: 2.1.3
% 11.29/2.47  % (3119363)Termination reason: Instruction limit
% 11.29/2.47  % (3119363)Termination phase: Saturation
% 11.29/2.47  % (3119363)Time elapsed: 0.069 s
% 11.29/2.47  % (3119363)Peak memory usage: 87 MB
% 11.29/2.47  % (3119363)Instructions burned: 120 (million)
% 11.29/2.47  % (3119365)Instruction limit reached! 
% 11.29/2.47  % (3119365)------------------------------
% 11.29/2.47  % (3119365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.47  % (3119365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.47  % (3119365)CaDiCaL version: 2.1.3
% 11.29/2.47  % (3119365)Termination reason: Instruction limit
% 11.29/2.47  % (3119365)Termination phase: Saturation
% 11.29/2.47  % (3119365)Time elapsed: 0.077 s
% 11.29/2.47  % (3119365)Peak memory usage: 88 MB
% 11.29/2.47  % (3119365)Instructions burned: 129 (million)
% 11.29/2.47  % (3119364)Instruction limit reached! 
% 11.29/2.47  % (3119364)------------------------------
% 11.29/2.47  % (3119364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.47  % (3119364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.47  % (3119364)CaDiCaL version: 2.1.3
% 11.29/2.47  % (3119364)Termination reason: Instruction limit
% 11.29/2.47  % (3119364)Termination phase: Saturation
% 11.29/2.47  % (3119364)Time elapsed: 0.092 s
% 11.29/2.47  % (3119364)Peak memory usage: 89 MB
% 11.29/2.47  % (3119364)Instructions burned: 139 (million)
% 11.29/2.47  % (3119373)lrs+10_1_sil=8000:sp=occurrence:random_seed=280481519:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.29/2.47  % (3119375)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2046181219:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.29/2.47  % (3119374)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1364941776:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.29/2.47  % (3119362)------------------------------
% 11.29/2.47  % (3119362)------------------------------
% 11.29/2.47  % (3119374)Instruction limit reached! 
% 11.29/2.47  % (3119374)------------------------------
% 11.29/2.47  % (3119374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.47  % (3119374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119374)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119374)Termination reason: Instruction limit
% 17.04/3.23  % (3119374)Termination phase: Saturation
% 17.04/3.23  % (3119374)Time elapsed: 0.092 s
% 17.04/3.23  % (3119374)Peak memory usage: 89 MB
% 17.04/3.23  % (3119374)Instructions burned: 157 (million)
% 17.04/3.23  % (3119379)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=2097947289:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 17.04/3.23  % (3119373)Instruction limit reached! 
% 17.04/3.23  % (3119373)------------------------------
% 17.04/3.23  % (3119373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119373)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119373)Termination reason: Instruction limit
% 17.04/3.23  % (3119373)Termination phase: Saturation
% 17.04/3.23  % (3119373)Time elapsed: 0.179 s
% 17.04/3.23  % (3119373)Peak memory usage: 91 MB
% 17.04/3.23  % (3119373)Instructions burned: 286 (million)
% 17.04/3.23  % (3119379)Instruction limit reached! 
% 17.04/3.23  % (3119379)------------------------------
% 17.04/3.23  % (3119379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119379)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119379)Termination reason: Instruction limit
% 17.04/3.23  % (3119379)Termination phase: Saturation
% 17.04/3.23  % (3119379)Time elapsed: 0.076 s
% 17.04/3.23  % (3119379)Peak memory usage: 90 MB
% 17.04/3.23  % (3119379)Instructions burned: 251 (million)
% 17.04/3.23  % (3119375)Instruction limit reached! 
% 17.04/3.23  % (3119375)------------------------------
% 17.04/3.23  % (3119375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119375)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119375)Termination reason: Instruction limit
% 17.04/3.23  % (3119375)Termination phase: Saturation
% 17.04/3.23  % (3119375)Time elapsed: 0.214 s
% 17.04/3.23  % (3119375)Peak memory usage: 92 MB
% 17.04/3.23  % (3119375)Instructions burned: 325 (million)
% 17.04/3.23  % (3119380)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2157888873:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.04/3.23  % (3119380)Refutation not found, incomplete strategy
% 17.04/3.23  % (3119380)------------------------------
% 17.04/3.23  % (3119380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119380)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119380)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.23  % (3119380)Time elapsed: 0.001 s
% 17.04/3.23  % (3119380)Peak memory usage: 87 MB
% 17.04/3.23  % (3119383)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=875496383:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.04/3.23  % (3119382)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2459680986:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 17.04/3.23  % (3119383)Instruction limit reached! 
% 17.04/3.23  % (3119383)------------------------------
% 17.04/3.23  % (3119383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119383)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119383)Termination reason: Instruction limit
% 17.04/3.23  % (3119383)Termination phase: Saturation
% 17.04/3.23  % (3119383)Time elapsed: 0.038 s
% 17.04/3.23  % (3119383)Peak memory usage: 89 MB
% 17.04/3.23  % (3119383)Instructions burned: 116 (million)
% 17.04/3.23  % (3119384)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=86210971:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 17.04/3.23  % (3119388)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=642058417:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 17.04/3.23  % (3119384)Instruction limit reached! 
% 17.04/3.23  % (3119384)------------------------------
% 17.04/3.23  % (3119384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119384)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119384)Termination reason: Instruction limit
% 17.04/3.23  % (3119384)Termination phase: Saturation
% 17.04/3.23  % (3119384)Time elapsed: 0.073 s
% 17.04/3.23  % (3119384)Peak memory usage: 88 MB
% 17.04/3.23  % (3119384)Instructions burned: 127 (million)
% 17.04/3.23  % (3119388)Instruction limit reached! 
% 17.04/3.23  % (3119388)------------------------------
% 17.04/3.23  % (3119388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119388)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119388)Termination reason: Instruction limit
% 17.04/3.23  % (3119388)Termination phase: Saturation
% 17.04/3.23  % (3119388)Time elapsed: 0.043 s
% 17.04/3.23  % (3119388)Peak memory usage: 89 MB
% 17.04/3.23  % (3119388)Instructions burned: 115 (million)
% 17.04/3.23  % (3119380)------------------------------
% 17.04/3.23  % (3119380)------------------------------
% 17.04/3.23  % (3119392)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1559510265:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 17.04/3.23  % (3119392)Refutation not found, incomplete strategy
% 17.04/3.23  % (3119392)------------------------------
% 17.04/3.23  % (3119392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119392)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119392)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.23  % (3119392)Time elapsed: 0.0000 s
% 17.04/3.23  % (3119392)Peak memory usage: 88 MB
% 17.04/3.23  % (3119391)lrs+10_1_sil=8000:sp=occurrence:random_seed=3569683813:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 17.04/3.23  % (3119393)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1601319365:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 17.04/3.23  % (3119392)------------------------------
% 17.04/3.23  % (3119392)------------------------------
% 17.04/3.23  % (3119397)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3682928707:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 17.04/3.23  % (3119397)Instruction limit reached! 
% 17.04/3.23  % (3119397)------------------------------
% 17.04/3.23  % (3119397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119397)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119397)Termination reason: Instruction limit
% 17.04/3.23  % (3119397)Termination phase: Saturation
% 17.04/3.23  % (3119397)Time elapsed: 0.041 s
% 17.04/3.23  % (3119397)Peak memory usage: 89 MB
% 17.04/3.23  % (3119397)Instructions burned: 138 (million)
% 17.04/3.23  % (3119399)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1612947460:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 17.04/3.23  % (3119399)Refutation not found, incomplete strategy
% 17.04/3.23  % (3119399)------------------------------
% 17.04/3.23  % (3119399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119399)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119399)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.23  % (3119399)Time elapsed: 0.0000 s
% 17.04/3.23  % (3119399)Peak memory usage: 88 MB
% 17.04/3.23  % (3119399)------------------------------
% 17.04/3.23  % (3119399)------------------------------
% 17.04/3.23  % (3119391)Instruction limit reached! 
% 17.04/3.23  % (3119391)------------------------------
% 17.04/3.23  % (3119391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119391)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119391)Termination reason: Instruction limit
% 17.04/3.23  % (3119391)Termination phase: Saturation
% 17.04/3.23  % (3119391)Time elapsed: 0.578 s
% 17.04/3.23  % (3119391)Peak memory usage: 95 MB
% 17.04/3.23  % (3119391)Instructions burned: 907 (million)
% 17.04/3.23  % (3119401)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=719657894:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 17.04/3.23  % (3119402)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=2550212560:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 17.04/3.23  % (3119402)Instruction limit reached! 
% 17.04/3.23  % (3119402)------------------------------
% 17.04/3.23  % (3119402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119402)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119402)Termination reason: Instruction limit
% 17.04/3.23  % (3119402)Termination phase: Saturation
% 17.04/3.23  % (3119402)Time elapsed: 0.082 s
% 17.04/3.23  % (3119402)Peak memory usage: 89 MB
% 17.04/3.23  % (3119402)Instructions burned: 126 (million)
% 17.04/3.23  % (3119405)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=377821655:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 17.04/3.23  % (3119405)Instruction limit reached! 
% 17.04/3.23  % (3119405)------------------------------
% 17.04/3.23  % (3119405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119405)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119405)Termination reason: Instruction limit
% 17.04/3.23  % (3119405)Termination phase: Saturation
% 17.04/3.23  % (3119405)Time elapsed: 0.085 s
% 17.04/3.23  % (3119405)Peak memory usage: 90 MB
% 17.04/3.23  % (3119405)Instructions burned: 134 (million)
% 17.04/3.23  % (3119407)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1134395916:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 17.04/3.23  % (3119407)Refutation not found, incomplete strategy
% 17.04/3.23  % (3119407)------------------------------
% 17.04/3.23  % (3119407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119407)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119407)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.23  % (3119407)Time elapsed: 0.001 s
% 17.04/3.23  % (3119407)Peak memory usage: 88 MB
% 17.04/3.23  % (3119360)First to succeed.
% 17.04/3.23  % (3119360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3119354"
% 17.04/3.23  % (3119382)Instruction limit reached! 
% 17.04/3.23  % (3119382)------------------------------
% 17.04/3.23  % (3119382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.04/3.23  % (3119382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.04/3.23  % (3119382)CaDiCaL version: 2.1.3
% 17.04/3.23  % (3119382)Termination reason: Instruction limit
% 17.04/3.23  % (3119382)Termination phase: Saturation
% 17.04/3.23  % (3119382)Time elapsed: 1.472 s
% 17.04/3.23  % (3119382)Peak memory usage: 141 MB
% 17.04/3.23  % (3119382)Instructions burned: 2351 (million)
% 17.04/3.23  % (3119409)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1733808139:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 17.04/3.23  % (3119407)------------------------------
% 17.04/3.23  % (3119407)------------------------------
% 17.04/3.23  % (3119360)Refutation found. Thanks to Tanya!
% 17.04/3.23  % SZS status Theorem for theBenchmark
% 17.04/3.23  % SZS output start Proof for theBenchmark
% See solution above
% 17.49/3.42  % (3119360)------------------------------
% 17.49/3.42  % (3119360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.42  % (3119360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.42  % (3119360)CaDiCaL version: 2.1.3
% 17.49/3.42  % (3119360)Termination reason: Refutation
% 17.49/3.42  % (3119360)Time elapsed: 1.969 s
% 17.49/3.42  % (3119360)Peak memory usage: 145 MB
% 17.49/3.42  % (3119360)Instructions burned: 3146 (million)
% 17.49/3.42  % (3119360)------------------------------
% 17.49/3.42  % (3119360)------------------------------
% 17.49/3.42  % (3119354)Success in time 2.385 s
% 17.49/3.42  % Vampire exiting
%------------------------------------------------------------------------------