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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL371+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 : n009.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 11:52:08 AM UTC 2026

% Result   : Theorem 25.80s 5.01s
% Output   : Refutation 27.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   53
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  109 (  57 unt;   5 def)
%            Number of atoms       :  175 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  135 (  69   ~;  64   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  245 ( 245   !;   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(implies(x,y),y),implies(implies(y,x),x))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_27) ).

fof(f6,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(x,y),y),implies(implies(y,x),x))),
    inference(negated_conjecture,[status(cth)],[f5]) ).

fof(f7,plain,
    ~ is_a_theorem(implies(implies(implies(x,y),y),implies(implies(y,x),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(implies(x,y),y),implies(implies(y,x),x))),
    inference(cnf_transformation,[],[f7]) ).

fof(f15,definition,
    sF0 = implies(x,y),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f16,plain,
    implies(x,y) = sF0,
    inference(reorient_equations,[],[f15]) ).

fof(f17,definition,
    sF1 = implies(sF0,y),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f18,plain,
    implies(sF0,y) = sF1,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF2 = implies(y,x),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f20,plain,
    implies(y,x) = sF2,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF3 = implies(sF2,x),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f22,plain,
    implies(sF2,x) = sF3,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF4 = implies(sF1,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f24,plain,
    implies(sF1,sF3) = sF4,
    inference(reorient_equations,[],[f23]) ).

fof(f25,plain,
    ~ is_a_theorem(sF4),
    inference(definition_folding,[],[f14,f24,f22,f20,f18,f16]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f10,f11]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f26,f10]) ).

fof(f89,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,[],[f78,f11]) ).

fof(f90,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,[],[f78,f26]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(not(X0),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f13,f10]) ).

fof(f111,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,[],[f90,f11]) ).

fof(f112,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,[],[f90,f26]) ).

fof(f129,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,[],[f111,f78]) ).

fof(f152,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,[],[f12,f112]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f12,f78]) ).

fof(f158,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
    inference(resolution,[],[f152,f13]) ).

fof(f162,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
    inference(resolution,[],[f158,f152]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X0),X0),X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f162,f10]) ).

fof(f184,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,[],[f153,f111]) ).

fof(f186,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f153,f13]) ).

fof(f205,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,[],[f89,f10]) ).

fof(f285,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X2),implies(X0,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f105,f184]) ).

fof(f325,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,[],[f129,f13]) ).

fof(f357,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
    inference(resolution,[],[f325,f13]) ).

fof(f373,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f357,f152]) ).

fof(f383,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,[],[f373,f78]) ).

fof(f469,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f383,f11]) ).

fof(f472,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,[],[f383,f26]) ).

fof(f492,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3),implies(X2,X3))),
    inference(resolution,[],[f472,f11]) ).

fof(f504,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
    inference(resolution,[],[f469,f472]) ).

fof(f530,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,implies(not(X0),X3)),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f504,f10]) ).

fof(f546,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f530,f285]) ).

fof(f567,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f546,f184]) ).

fof(f578,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
      | is_a_theorem(implies(X0,implies(X3,X2))) ),
    inference(resolution,[],[f567,f530]) ).

fof(f721,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X0))
      | is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f174,f10]) ).

fof(f735,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[],[f578,f12]) ).

fof(f737,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f578,f174]) ).

fof(f784,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | is_a_theorem(implies(X2,implies(X3,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f737,f78]) ).

fof(f830,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X3,X0),X2))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f784,f735]) ).

fof(f925,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(resolution,[],[f830,f492]) ).

fof(f947,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[],[f925,f152]) ).

fof(f969,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,[],[f947,f205]) ).

fof(f981,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f947,f10]) ).

fof(f997,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(resolution,[],[f981,f11]) ).

fof(f1081,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
    inference(resolution,[],[f969,f11]) ).

fof(f1132,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X3)),X0))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f1081,f205]) ).

fof(f1144,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,[],[f1081,f10]) ).

fof(f1166,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(resolution,[],[f1144,f947]) ).

fof(f1207,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
    inference(resolution,[],[f1166,f184]) ).

fof(f1208,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f1166,f721]) ).

fof(f1256,plain,
    ! [X0] : is_a_theorem(implies(implies(X0,x),implies(X0,sF3))),
    inference(superposition,[],[f1207,f22]) ).

fof(f1340,plain,
    is_a_theorem(implies(implies(sF1,x),sF4)),
    inference(superposition,[],[f1256,f24]) ).

fof(f1401,plain,
    is_a_theorem(implies(x,sF4)),
    inference(resolution,[],[f1340,f981]) ).

fof(f1533,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),implies(X2,X0)))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f1208,f89]) ).

fof(f1603,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X0),X1),X2))),
    inference(resolution,[],[f1533,f11]) ).

fof(f1665,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
      | ~ is_a_theorem(implies(implies(X1,X2),X3)) ),
    inference(resolution,[],[f1603,f10]) ).

fof(f1689,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X3,X0),X1))
      | is_a_theorem(X2)
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f1665,f10]) ).

fof(f1706,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X1,X1),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f1689,f12]) ).

fof(f1795,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(resolution,[],[f1706,f997]) ).

fof(f1851,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
    inference(resolution,[],[f1795,f153]) ).

fof(f1877,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1851,f78]) ).

fof(f1892,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,[],[f1877,f111]) ).

fof(f2363,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[],[f1892,f162]) ).

fof(f2468,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f2363,f1132]) ).

fof(f2469,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f2363,f1144]) ).

fof(f2501,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f2469,f90]) ).

fof(f2552,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,[],[f2468,f205]) ).

fof(f2570,plain,
    ! [X0] : is_a_theorem(implies(implies(implies(sF2,x),X0),implies(y,X0))),
    inference(superposition,[],[f2468,f20]) ).

fof(f2579,plain,
    ! [X0] : is_a_theorem(implies(implies(sF3,X0),implies(y,X0))),
    inference(forward_demodulation,[],[f2570,f22]) ).

fof(f2872,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    inference(resolution,[],[f2552,f373]) ).

fof(f2940,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    inference(resolution,[],[f2872,f153]) ).

fof(f2941,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
    inference(resolution,[],[f2872,f152]) ).

fof(f2970,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f2940,f78]) ).

fof(f3205,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X1,X2),X0))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f2970,f26]) ).

fof(f4236,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(implies(X0,X1),X2),X2))
      | ~ is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f3205,f26]) ).

fof(f4321,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X1)))
      | is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f4236,f78]) ).

fof(f4322,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X2),X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f4236,f10]) ).

fof(f4852,plain,
    ! [X0] : is_a_theorem(implies(implies(X0,y),implies(X0,sF3))),
    inference(resolution,[],[f2579,f1892]) ).

fof(f4927,plain,
    is_a_theorem(implies(sF1,implies(sF0,sF3))),
    inference(superposition,[],[f4852,f18]) ).

fof(f7170,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X2),X1))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f4321,f2941]) ).

fof(f7350,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(x,X0),X0))
      | ~ is_a_theorem(implies(sF0,X0)) ),
    inference(superposition,[],[f7170,f16]) ).

fof(f9256,plain,
    is_a_theorem(implies(sF0,implies(sF1,sF3))),
    inference(resolution,[],[f4927,f2501]) ).

fof(f9269,plain,
    is_a_theorem(implies(sF0,sF4)),
    inference(forward_demodulation,[],[f9256,f24]) ).

fof(f9273,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,sF0))
      | is_a_theorem(implies(X0,sF4)) ),
    inference(resolution,[],[f9269,f78]) ).

fof(f9277,plain,
    ( is_a_theorem(implies(implies(x,sF0),sF4))
    | ~ is_a_theorem(implies(sF0,sF0)) ),
    inference(resolution,[],[f9273,f7350]) ).

fof(f9300,plain,
    is_a_theorem(implies(implies(x,sF0),sF4)),
    inference(forward_subsumption_resolution,[],[f9277,f186]) ).

fof(f9309,plain,
    ( is_a_theorem(sF4)
    | ~ is_a_theorem(implies(x,sF4)) ),
    inference(resolution,[],[f9300,f4322]) ).

fof(f9320,plain,
    ~ is_a_theorem(implies(x,sF4)),
    inference(forward_subsumption_resolution,[],[f9309,f25]) ).

fof(f9321,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f9320,f1401]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL371+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48  % Computer : n009.cluster.edu
% 0.21/0.48  % Model    : x86_64 x86_64
% 0.21/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48  % Memory   : 8046.5625MB
% 0.21/0.48  % OS       : Linux 6.8.0-71-generic
% 0.21/0.48  % CPULimit : 300
% 0.21/0.48  % WCLimit  : 300
% 0.21/0.48  % DateTime : Sun Sep 27 15:37:15 UTC 2026
% 0.21/0.49  % CPUTime  : 
% 0.21/0.49  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.54  Running first-order theorem proving
% 0.27/0.54  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
% 23.32/4.57  % (2188573)Detected formulas, will run a generic FOF schedule.
% 23.32/4.57  % (2188581)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=937697182:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.32/4.57  % (2188581)Refutation not found, incomplete strategy
% 23.32/4.57  % (2188581)------------------------------
% 23.32/4.57  % (2188581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.32/4.57  % (2188581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.32/4.57  % (2188581)CaDiCaL version: 2.1.3
% 23.32/4.57  % (2188581)Termination reason: Refutation not found, incomplete strategy
% 23.32/4.57  % (2188581)Time elapsed: 0.001 s
% 23.32/4.57  % (2188581)Peak memory usage: 87 MB
% 23.32/4.57  % (2188579)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=3511710436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.32/4.57  % (2188580)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=1554214471:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.32/4.57  % (2188578)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=3871788268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.32/4.57  % (2188582)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=135446802:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.32/4.57  % (2188583)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2466707249:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.32/4.57  % (2188584)dis-21_1_sil=8000:lcm=predicate:random_seed=1529605377: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)
% 23.32/4.57  % (2188582)Instruction limit reached! 
% 23.32/4.57  % (2188582)------------------------------
% 23.32/4.57  % (2188582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.32/4.57  % (2188582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.32/4.58  % (2188582)CaDiCaL version: 2.1.3
% 23.32/4.58  % (2188582)Termination reason: Instruction limit
% 23.32/4.58  % (2188582)Termination phase: Saturation
% 23.32/4.58  % (2188582)Time elapsed: 0.101 s
% 23.32/4.58  % (2188582)Peak memory usage: 87 MB
% 23.32/4.58  % (2188582)Instructions burned: 120 (million)
% 23.32/4.58  % (2188584)Instruction limit reached! 
% 23.32/4.58  % (2188584)------------------------------
% 23.32/4.58  % (2188584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.32/4.58  % (2188584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.32/4.58  % (2188584)CaDiCaL version: 2.1.3
% 23.32/4.58  % (2188584)Termination reason: Instruction limit
% 23.32/4.58  % (2188584)Termination phase: Saturation
% 23.32/4.58  % (2188584)Time elapsed: 0.127 s
% 23.32/4.58  % (2188584)Peak memory usage: 88 MB
% 23.32/4.58  % (2188584)Instructions burned: 130 (million)
% 23.32/4.58  % (2188581)------------------------------
% 23.32/4.58  % (2188581)------------------------------
% 23.32/4.58  % (2188583)Instruction limit reached! 
% 23.32/4.58  % (2188583)------------------------------
% 23.32/4.58  % (2188583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.32/4.58  % (2188583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.32/4.58  % (2188583)CaDiCaL version: 2.1.3
% 23.32/4.58  % (2188583)Termination reason: Instruction limit
% 23.32/4.58  % (2188583)Termination phase: Saturation
% 23.32/4.58  % (2188583)Time elapsed: 0.143 s
% 23.32/4.58  % (2188583)Peak memory usage: 89 MB
% 23.32/4.58  % (2188583)Instructions burned: 139 (million)
% 23.32/4.58  % (2188595)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=3526902855:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 23.32/4.58  % (2188593)lrs+10_1_sil=32000:urr=on:br=off:random_seed=747215960:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 23.32/4.58  % (2188594)lrs+1011_1_sil=32000:sp=occurrence:random_seed=140485526:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 23.32/4.58  % (2188592)lrs+10_1_sil=8000:sp=occurrence:random_seed=3608068396:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 25.80/5.00  % (2188595)Instruction limit reached! 
% 25.80/5.00  % (2188595)------------------------------
% 25.80/5.00  % (2188595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.00  % (2188595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.00  % (2188595)CaDiCaL version: 2.1.3
% 25.80/5.00  % (2188595)Termination reason: Instruction limit
% 25.80/5.00  % (2188595)Termination phase: Saturation
% 25.80/5.00  % (2188595)Time elapsed: 0.112 s
% 25.80/5.00  % (2188595)Peak memory usage: 89 MB
% 25.80/5.00  % (2188595)Instructions burned: 250 (million)
% 25.80/5.00  % (2188593)Instruction limit reached! 
% 25.80/5.00  % (2188593)------------------------------
% 25.80/5.00  % (2188593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.00  % (2188593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.00  % (2188593)CaDiCaL version: 2.1.3
% 25.80/5.00  % (2188593)Termination reason: Instruction limit
% 25.80/5.00  % (2188593)Termination phase: Saturation
% 25.80/5.00  % (2188593)Time elapsed: 0.148 s
% 25.80/5.00  % (2188593)Peak memory usage: 89 MB
% 25.80/5.00  % (2188593)Instructions burned: 157 (million)
% 25.80/5.00  % (2188592)Instruction limit reached! 
% 25.80/5.00  % (2188592)------------------------------
% 25.80/5.00  % (2188592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.00  % (2188592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.00  % (2188592)CaDiCaL version: 2.1.3
% 25.80/5.00  % (2188592)Termination reason: Instruction limit
% 25.80/5.00  % (2188592)Termination phase: Saturation
% 25.80/5.00  % (2188592)Time elapsed: 0.283 s
% 25.80/5.00  % (2188592)Peak memory usage: 90 MB
% 25.80/5.00  % (2188592)Instructions burned: 285 (million)
% 25.80/5.00  % (2188600)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3042154716:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 25.80/5.00  % (2188600)Refutation not found, incomplete strategy
% 25.80/5.00  % (2188600)------------------------------
% 25.80/5.00  % (2188600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.00  % (2188600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.00  % (2188600)CaDiCaL version: 2.1.3
% 25.80/5.00  % (2188600)Termination reason: Refutation not found, incomplete strategy
% 25.80/5.00  % (2188600)Time elapsed: 0.001 s
% 25.80/5.00  % (2188600)Peak memory usage: 87 MB
% 25.80/5.00  % (2188594)Instruction limit reached! 
% 25.80/5.00  % (2188594)------------------------------
% 25.80/5.00  % (2188594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.00  % (2188594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.00  % (2188594)CaDiCaL version: 2.1.3
% 25.80/5.00  % (2188594)Termination reason: Instruction limit
% 25.80/5.00  % (2188594)Termination phase: Saturation
% 25.80/5.00  % (2188594)Time elapsed: 0.341 s
% 25.80/5.00  % (2188594)Peak memory usage: 92 MB
% 25.80/5.00  % (2188594)Instructions burned: 325 (million)
% 25.80/5.00  % (2188601)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2650586677:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 25.80/5.00  % (2188600)------------------------------
% 25.80/5.00  % (2188600)------------------------------
% 25.80/5.00  % (2188602)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2290340776:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 25.80/5.01  % (2188604)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3132226211:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 25.80/5.01  % (2188602)Instruction limit reached! 
% 25.80/5.01  % (2188602)------------------------------
% 25.80/5.01  % (2188602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188602)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188602)Termination reason: Instruction limit
% 25.80/5.01  % (2188602)Termination phase: Saturation
% 25.80/5.01  % (2188602)Time elapsed: 0.105 s
% 25.80/5.01  % (2188602)Peak memory usage: 89 MB
% 25.80/5.01  % (2188602)Instructions burned: 114 (million)
% 25.80/5.01  % (2188604)Instruction limit reached! 
% 25.80/5.01  % (2188604)------------------------------
% 25.80/5.01  % (2188604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188604)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188604)Termination reason: Instruction limit
% 25.80/5.01  % (2188604)Termination phase: Saturation
% 25.80/5.01  % (2188604)Time elapsed: 0.115 s
% 25.80/5.01  % (2188604)Peak memory usage: 88 MB
% 25.80/5.01  % (2188604)Instructions burned: 127 (million)
% 25.80/5.01  % (2188606)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3896955923:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 25.80/5.01  % (2188606)Instruction limit reached! 
% 25.80/5.01  % (2188606)------------------------------
% 25.80/5.01  % (2188606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188606)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188606)Termination reason: Instruction limit
% 25.80/5.01  % (2188606)Termination phase: Saturation
% 25.80/5.01  % (2188606)Time elapsed: 0.061 s
% 25.80/5.01  % (2188606)Peak memory usage: 90 MB
% 25.80/5.01  % (2188606)Instructions burned: 115 (million)
% 25.80/5.01  % (2188609)lrs+10_1_sil=8000:sp=occurrence:random_seed=1170053407:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 25.80/5.01  % (2188610)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3141034409:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 25.80/5.01  % (2188610)Refutation not found, incomplete strategy
% 25.80/5.01  % (2188610)------------------------------
% 25.80/5.01  % (2188610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188610)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188610)Termination reason: Refutation not found, incomplete strategy
% 25.80/5.01  % (2188610)Time elapsed: 0.001 s
% 25.80/5.01  % (2188610)Peak memory usage: 87 MB
% 25.80/5.01  % (2188612)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2601222000:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 25.80/5.01  % (2188610)------------------------------
% 25.80/5.01  % (2188610)------------------------------
% 25.80/5.01  % (2188616)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3296922210:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 25.80/5.01  % (2188616)Instruction limit reached! 
% 25.80/5.01  % (2188616)------------------------------
% 25.80/5.01  % (2188616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188616)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188616)Termination reason: Instruction limit
% 25.80/5.01  % (2188616)Termination phase: Saturation
% 25.80/5.01  % (2188616)Time elapsed: 0.116 s
% 25.80/5.01  % (2188616)Peak memory usage: 89 MB
% 25.80/5.01  % (2188616)Instructions burned: 134 (million)
% 25.80/5.01  % (2188609)Instruction limit reached! 
% 25.80/5.01  % (2188609)------------------------------
% 25.80/5.01  % (2188609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188609)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188609)Termination reason: Instruction limit
% 25.80/5.01  % (2188609)Termination phase: Saturation
% 25.80/5.01  % (2188609)Time elapsed: 0.892 s
% 25.80/5.01  % (2188609)Peak memory usage: 95 MB
% 25.80/5.01  % (2188609)Instructions burned: 908 (million)
% 25.80/5.01  % (2188619)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2848859151:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 25.80/5.01  % (2188618)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=749588045:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 25.80/5.01  % (2188618)Refutation not found, incomplete strategy
% 25.80/5.01  % (2188618)------------------------------
% 25.80/5.01  % (2188618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188618)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188618)Termination reason: Refutation not found, incomplete strategy
% 25.80/5.01  % (2188618)Time elapsed: 0.002 s
% 25.80/5.01  % (2188618)Peak memory usage: 87 MB
% 25.80/5.01  % (2188618)------------------------------
% 25.80/5.01  % (2188618)------------------------------
% 25.80/5.01  % (2188578)First to succeed.
% 25.80/5.01  % (2188578)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2188573"
% 25.80/5.01  % (2188622)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=4288175492:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 25.80/5.01  % (2188601)Instruction limit reached! 
% 25.80/5.01  % (2188601)------------------------------
% 25.80/5.01  % (2188601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188601)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188601)Termination reason: Instruction limit
% 25.80/5.01  % (2188601)Termination phase: Saturation
% 25.80/5.01  % (2188601)Time elapsed: 2.496 s
% 25.80/5.01  % (2188601)Peak memory usage: 141 MB
% 25.80/5.01  % (2188601)Instructions burned: 2350 (million)
% 25.80/5.01  % (2188622)Instruction limit reached! 
% 25.80/5.01  % (2188622)------------------------------
% 25.80/5.01  % (2188622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.80/5.01  % (2188622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.80/5.01  % (2188622)CaDiCaL version: 2.1.3
% 25.80/5.01  % (2188622)Termination reason: Instruction limit
% 25.80/5.01  % (2188622)Termination phase: Saturation
% 25.80/5.01  % (2188622)Time elapsed: 0.122 s
% 25.80/5.01  % (2188622)Peak memory usage: 90 MB
% 25.80/5.01  % (2188622)Instructions burned: 125 (million)
% 25.80/5.01  % (2188578)Refutation found. Thanks to Tanya!
% 25.80/5.01  % SZS status Theorem for theBenchmark
% 25.80/5.01  % SZS output start Proof for theBenchmark
% See solution above
% 27.22/5.38  % (2188578)------------------------------
% 27.22/5.38  % (2188578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.22/5.38  % (2188578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.22/5.38  % (2188578)CaDiCaL version: 2.1.3
% 27.22/5.38  % (2188578)Termination reason: Refutation
% 27.22/5.38  % (2188578)Time elapsed: 3.006 s
% 27.22/5.38  % (2188578)Peak memory usage: 146 MB
% 27.22/5.38  % (2188578)Instructions burned: 2949 (million)
% 27.22/5.38  % (2188578)------------------------------
% 27.22/5.38  % (2188578)------------------------------
% 27.22/5.38  % (2188573)Success in time 3.699 s
% 27.22/5.38  % Vampire exiting
%------------------------------------------------------------------------------