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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL983+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 11:57:24 AM UTC 2026

% Result   : Theorem 58.12s 17.74s
% Output   : Refutation 120.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   72
%            Number of leaves      :    7
% Syntax   : Number of formulae    :  176 (  19 unt;   4 def)
%            Number of atoms       :  609 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  868 ( 435   ~; 429   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  462 (   0 sgn 459   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X0,X1,X2,X3,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(implies(not(X2),not(X3)),X2),X4)),implies(implies(X4,X0),implies(X3,X0)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6) ).

fof(f3,conjecture,
    ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).

fof(f4,negated_conjecture,
    ~ ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f5,plain,
    ? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5]) ).

fof(f7,plain,
    ~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(implies(not(X2),not(X3)),X2),X4)),implies(implies(X4,X0),implies(X3,X0)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(implies(not(X2),not(X3)),X2),X4)))
      | is_a_theorem(implies(implies(X4,X0),implies(X3,X0))) ),
    inference(resolution,[],[f9,f8]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2)))),
    inference(resolution,[],[f10,f8]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(X3,implies(X2,X0)))),
    inference(resolution,[],[f11,f10]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
      | is_a_theorem(implies(X3,implies(X1,X2))) ),
    inference(resolution,[],[f11,f9]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
      | is_a_theorem(implies(X3,implies(X2,X0))) ),
    inference(resolution,[],[f12,f9]) ).

fof(f18,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
    inference(resolution,[],[f15,f12]) ).

fof(f19,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(resolution,[],[f18,f10]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(implies(X1,implies(X2,X2))) ),
    inference(resolution,[],[f18,f9]) ).

fof(f23,definition,
    ( spl3_1
  <=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2))) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

fof(f24,plain,
    ( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2)))
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f26,definition,
    ( spl3_2
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

fof(f27,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f28,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f21,f26,f23]) ).

fof(f32,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(implies(not(X1),not(X2)),X1),implies(implies(not(X1),not(X2)),X1)),implies(X2,implies(implies(not(X1),not(X2)),X1))))),
    inference(resolution,[],[f13,f8]) ).

fof(f43,plain,
    ( $false
    | ~ spl3_2 ),
    inference(forward_subsumption_resolution,[],[f32,f27]) ).

fof(f44,plain,
    ~ spl3_2,
    inference(avatar_contradiction_clause,[],[f43]) ).

fof(f45,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X0),X2),implies(X1,X2)))
    | ~ spl3_1 ),
    inference(resolution,[],[f24,f10]) ).

fof(f56,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(not(X0),not(X1)),X0),X2))
        | is_a_theorem(implies(X1,X2)) )
    | ~ spl3_1 ),
    inference(resolution,[],[f45,f9]) ).

fof(f82,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2))))
    | ~ spl3_1 ),
    inference(resolution,[],[f56,f11]) ).

fof(f85,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ spl3_1 ),
    inference(resolution,[],[f56,f19]) ).

fof(f89,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
    | ~ spl3_1 ),
    inference(resolution,[],[f85,f10]) ).

fof(f93,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X0) )
    | ~ spl3_1 ),
    inference(resolution,[],[f85,f9]) ).

fof(f99,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))
    | ~ spl3_1 ),
    inference(resolution,[],[f89,f10]) ).

fof(f104,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
        | is_a_theorem(implies(X2,implies(X0,X1))) )
    | ~ spl3_1 ),
    inference(resolution,[],[f99,f9]) ).

fof(f111,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2))))
    | ~ spl3_1 ),
    inference(resolution,[],[f104,f99]) ).

fof(f114,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2))))
    | ~ spl3_1 ),
    inference(resolution,[],[f104,f82]) ).

fof(f128,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(X1,implies(not(X1),X2))) )
    | ~ spl3_1 ),
    inference(resolution,[],[f114,f9]) ).

fof(f130,definition,
    ( spl3_5
  <=> ! [X2,X1] : is_a_theorem(implies(X1,implies(not(X1),X2))) ),
    introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).

fof(f131,plain,
    ( ! [X2,X1] : is_a_theorem(implies(X1,implies(not(X1),X2)))
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f132,plain,
    ( spl3_5
    | spl3_2
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f128,f23,f26,f130]) ).

fof(f170,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) )
    | ~ spl3_1 ),
    inference(resolution,[],[f111,f9]) ).

fof(f172,definition,
    ( spl3_8
  <=> ! [X2,X1] : is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) ),
    introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).

fof(f173,plain,
    ( ! [X2,X1] : is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f174,plain,
    ( spl3_8
    | spl3_2
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f170,f23,f26,f172]) ).

fof(f177,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl3_8 ),
    inference(resolution,[],[f173,f9]) ).

fof(f185,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(X2,X0)))
    | ~ spl3_8 ),
    inference(resolution,[],[f177,f12]) ).

fof(f200,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
        | is_a_theorem(implies(X2,X0)) )
    | ~ spl3_8 ),
    inference(resolution,[],[f185,f9]) ).

fof(f338,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(not(X0),not(X1)),X0),X2))
        | is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) )
    | ~ spl3_1 ),
    inference(resolution,[],[f93,f10]) ).

fof(f384,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
    | ~ spl3_1 ),
    inference(resolution,[],[f338,f19]) ).

fof(f402,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
        | ~ is_a_theorem(X0) )
    | ~ spl3_1 ),
    inference(resolution,[],[f338,f93]) ).

fof(f414,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X2))
        | is_a_theorem(implies(X1,X2)) )
    | ~ spl3_1 ),
    inference(resolution,[],[f384,f9]) ).

fof(f425,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))
    | ~ spl3_1 ),
    inference(resolution,[],[f414,f85]) ).

fof(f441,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X0),X2),implies(implies(X2,X3),implies(X1,X3))))
    | ~ spl3_1 ),
    inference(resolution,[],[f414,f8]) ).

fof(f460,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))
    | ~ spl3_1 ),
    inference(resolution,[],[f425,f10]) ).

fof(f502,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(not(X2),not(X0)),X2)),implies(X3,implies(implies(not(X2),not(X0)),X2))))
    | ~ spl3_1 ),
    inference(resolution,[],[f441,f10]) ).

fof(f507,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
    | ~ spl3_1 ),
    inference(resolution,[],[f441,f414]) ).

fof(f511,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(X1)),implies(X2,not(X1))))
    | ~ spl3_1 ),
    inference(resolution,[],[f507,f10]) ).

fof(f512,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f507,f200]) ).

fof(f525,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f512,f9]) ).

fof(f585,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X0),implies(X1,X2)),implies(X3,implies(X1,X2))))
    | ~ spl3_1 ),
    inference(resolution,[],[f502,f10]) ).

fof(f598,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(implies(X0,implies(X1,X2))),not(X1)),implies(X0,implies(X1,X2))))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f585,f525]) ).

fof(f603,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(not(X0),not(X1)),X0),implies(X1,X2)))
        | is_a_theorem(implies(X3,implies(X1,X2))) )
    | ~ spl3_1 ),
    inference(resolution,[],[f585,f9]) ).

fof(f710,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(implies(X0,X1),X1))
        | ~ is_a_theorem(X0) )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f402,f177]) ).

fof(f723,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X0,X2),implies(X1,X2)))
        | ~ is_a_theorem(implies(not(X0),not(X1))) )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f710,f338]) ).

fof(f724,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),not(X1)))
        | is_a_theorem(implies(X1,X0)) )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f710,f56]) ).

fof(f945,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),not(X1)))
        | ~ is_a_theorem(implies(X0,X2))
        | is_a_theorem(implies(X1,X2)) )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f723,f9]) ).

fof(f1098,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X3,implies(X1,implies(X0,X2)))))
    | ~ spl3_1 ),
    inference(resolution,[],[f460,f10]) ).

fof(f1139,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2))))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f1098,f177]) ).

fof(f1175,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
        | is_a_theorem(implies(X1,implies(X0,X2))) )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f1139,f9]) ).

fof(f1360,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X1)))))
    | ~ spl3_1 ),
    inference(resolution,[],[f511,f603]) ).

fof(f1365,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),implies(X1,X0)),implies(X2,implies(X1,X0))))
    | ~ spl3_1 ),
    inference(resolution,[],[f511,f10]) ).

fof(f1368,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,not(not(X1))),X2),implies(X1,X2)))
    | ~ spl3_1 ),
    inference(resolution,[],[f511,f338]) ).

fof(f1388,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),implies(X1,X0)),implies(X1,X0)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f1365,f177]) ).

fof(f1421,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,not(X0)),implies(X1,not(X0))))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f1388,f10]) ).

fof(f1429,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),implies(X1,X0)))
        | is_a_theorem(implies(X1,X0)) )
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f1388,f9]) ).

fof(f1435,plain,
    ( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f1429,f131]) ).

fof(f1460,plain,
    ( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f1435,f724]) ).

fof(f1469,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f1421,f10]) ).

fof(f1491,plain,
    ( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f1469,f177]) ).

fof(f1787,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),implies(X2,X1)))
    | ~ spl3_1 ),
    inference(resolution,[],[f1360,f338]) ).

fof(f1809,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,not(not(implies(X1,X0)))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f1460,f414]) ).

fof(f1816,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(not(not(X0)),X1))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f1460,f945]) ).

fof(f1826,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X1,not(X0))))
        | is_a_theorem(implies(X1,not(X0))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f1816,f1429]) ).

fof(f2054,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(not(implies(X2,not(X0))),X1))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f1809,f945]) ).

fof(f3246,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2))))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f598,f414]) ).

fof(f4116,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2)))
    | ~ spl3_1 ),
    inference(resolution,[],[f1787,f338]) ).

fof(f4239,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X2))
        | is_a_theorem(implies(not(not(X1)),X2)) )
    | ~ spl3_1 ),
    inference(resolution,[],[f4116,f9]) ).

fof(f4307,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(not(not(X0)),implies(implies(X0,X1),implies(X2,X1))))
    | ~ spl3_1 ),
    inference(resolution,[],[f4239,f441]) ).

fof(f4348,plain,
    ( ! [X0,X1] : is_a_theorem(implies(not(not(X0)),not(not(implies(X1,X0)))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f4239,f1460]) ).

fof(f4366,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1)))
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(resolution,[],[f4307,f1175]) ).

fof(f4408,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(not(implies(X2,X0)),X1))
        | ~ is_a_theorem(implies(not(X0),X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f4348,f945]) ).

fof(f4421,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),implies(X1,implies(X2,X0))))
        | is_a_theorem(implies(X1,implies(X2,X0))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f4408,f1429]) ).

fof(f4424,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),not(X1)))
        | ~ is_a_theorem(implies(implies(X2,X0),X3))
        | is_a_theorem(implies(X1,X3)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f4408,f945]) ).

fof(f6279,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))
    | ~ spl3_1 ),
    inference(resolution,[],[f1368,f338]) ).

fof(f6323,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X2))
        | is_a_theorem(implies(not(X0),X2)) )
    | ~ spl3_1 ),
    inference(resolution,[],[f6279,f9]) ).

fof(f6459,plain,
    ( ! [X0,X1] : is_a_theorem(implies(not(X0),not(not(implies(X0,X1)))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f6323,f1460]) ).

fof(f6467,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(not(implies(X0,X2)),X1))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f6459,f945]) ).

fof(f6538,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(not(implies(X0,X1)),X2)))
        | is_a_theorem(implies(not(implies(X0,X1)),X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f6467,f177]) ).

fof(f7785,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),X2))
        | is_a_theorem(implies(not(implies(X1,X3)),X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f4424,f6459]) ).

fof(f8039,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(implies(X0,X2),implies(X3,X2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f7785,f441]) ).

fof(f8855,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(not(implies(implies(implies(X0,X0),X1),X2)),X1))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f6538,f19]) ).

fof(f8953,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),not(X0)),X2)))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f8855,f724]) ).

fof(f8986,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(implies(X1,X1),not(implies(X0,X2))),X3)))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f8953,f6323]) ).

fof(f9136,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),not(implies(X1,X2))),implies(not(X1),X3)))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f8986,f1175]) ).

fof(f9227,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),not(implies(implies(X1,X1),not(implies(X0,X2))))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f9136,f1826]) ).

fof(f9385,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(implies(implies(implies(X2,X2),not(implies(X0,X3))),X1))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f9227,f945]) ).

fof(f9399,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X3)),X2)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f9385,f338]) ).

fof(f9489,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(X1,X2))
        | ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(implies(not(implies(X0,X3)),X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f9399,f9]) ).

fof(f9574,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(implies(not(implies(X0,X2)),implies(not(X1),X3)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f9489,f131]) ).

fof(f11946,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(not(X1),implies(X0,X2)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f9574,f1429]) ).

fof(f11976,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(X0,implies(X2,X1)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f11946,f4421]) ).

fof(f11987,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(X0,implies(not(X1),X2)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f11946,f1175]) ).

fof(f13402,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(not(X1),not(X0)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f11987,f1826]) ).

fof(f13582,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X1,X2))
        | ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(implies(X0,X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13402,f945]) ).

fof(f13617,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13582,f1491]) ).

fof(f13764,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
        | is_a_theorem(implies(X0,implies(X3,implies(X1,X2)))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13582,f99]) ).

fof(f13792,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13582,f507]) ).

fof(f16560,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13764,f507]) ).

fof(f17034,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
        | is_a_theorem(implies(implies(X3,X1),implies(X0,X1))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13792,f200]) ).

fof(f17106,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13792,f1175]) ).

fof(f17118,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X1,X0),implies(X2,X0)))
        | ~ is_a_theorem(implies(not(X0),X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f13792,f4421]) ).

fof(f17162,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
        | is_a_theorem(implies(X2,implies(X0,X1))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f17106,f56]) ).

fof(f17215,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(implies(X1,X0),X0))
        | ~ is_a_theorem(implies(not(X0),X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f17106,f13617]) ).

fof(f17346,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),X1))
        | ~ is_a_theorem(implies(X1,X0))
        | is_a_theorem(X0) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f17215,f9]) ).

fof(f17855,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,not(X0)),not(X1))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f17162,f4366]) ).

fof(f18328,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
        | is_a_theorem(implies(X1,X2))
        | ~ is_a_theorem(implies(X1,X0)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f17346,f6467]) ).

fof(f18512,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X2,X1)))
        | is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(implies(X0,X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f18328,f17106]) ).

fof(f20439,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
        | ~ is_a_theorem(implies(not(X0),implies(X2,X1))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f17034,f17215]) ).

fof(f20703,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),implies(X1,X2)))
        | ~ is_a_theorem(implies(X0,X2))
        | is_a_theorem(implies(X1,X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f20439,f9]) ).

fof(f20753,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(not(X0),X2))
        | is_a_theorem(implies(not(X2),X1))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f20703,f11987]) ).

fof(f20784,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
        | is_a_theorem(implies(implies(X0,X3),implies(X2,X3))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f20703,f8039]) ).

fof(f20868,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(not(X2),X1))
        | is_a_theorem(implies(not(X0),X1))
        | ~ is_a_theorem(implies(X2,X0)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f20753,f1816]) ).

fof(f21420,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(X3,X0))
        | is_a_theorem(implies(not(X0),implies(X1,X2)))
        | ~ is_a_theorem(implies(X1,X3)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f20868,f11946]) ).

fof(f27623,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X1,implies(not(X0),X0)))
        | is_a_theorem(implies(not(X0),implies(X1,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f21420,f1491]) ).

fof(f27939,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(implies(X0,X1),X0),X2)))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f27623,f6279]) ).

fof(f28356,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(implies(X0,X2),X0),X1))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f27939,f20703]) ).

fof(f28513,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X0)))
        | ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(implies(X2,X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f28356,f13582]) ).

fof(f32824,plain,
    ( ! [X2,X3,X0,X1] :
        ( is_a_theorem(implies(implies(implies(X3,X0),implies(X0,X1)),X2))
        | ~ is_a_theorem(implies(implies(X0,X1),X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f28513,f11]) ).

fof(f32855,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
        | is_a_theorem(implies(X0,X2)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f28513,f16560]) ).

fof(f32979,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
        | is_a_theorem(implies(X0,implies(X1,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f32855,f17106]) ).

fof(f33039,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(implies(X0,X2),implies(X1,X2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f32855,f441]) ).

fof(f33208,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
        | ~ is_a_theorem(implies(not(X1),implies(X0,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f32979,f20439]) ).

fof(f33399,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f32979,f17855]) ).

fof(f33627,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,not(not(X1))),X1)))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f33399,f17162]) ).

fof(f40369,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),not(not(X1))),X1)))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f33627,f20784]) ).

fof(f41412,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
        | is_a_theorem(implies(implies(X2,X3),implies(X0,X3))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f32824,f338]) ).

fof(f41659,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f41412,f33039]) ).

fof(f44477,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
        | is_a_theorem(implies(X0,X3)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f41659,f9]) ).

fof(f45765,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(not(implies(not(X0),not(X1))),implies(implies(X2,X3),X0)))
        | is_a_theorem(implies(implies(X0,X2),implies(X1,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f33208,f10]) ).

fof(f46331,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(implies(X2,implies(implies(X1,X3),X0)))
        | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f45765,f2054]) ).

fof(f46623,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f46331,f40369]) ).

fof(f48369,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f46623,f44477]) ).

fof(f48407,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
        | ~ is_a_theorem(implies(X0,implies(X1,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f46623,f9]) ).

fof(f50483,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
        | is_a_theorem(implies(X0,implies(X1,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f48369,f18512]) ).

fof(f51769,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X1,implies(X0,implies(implies(X0,X1),X2))))
        | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f50483,f48407]) ).

fof(f51926,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X1,implies(implies(X0,X1),X2)))
        | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f51769,f11976]) ).

fof(f52094,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f51926,f16560]) ).

fof(f52500,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
        | is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f52094,f18328]) ).

fof(f60236,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2)))
        | ~ is_a_theorem(implies(not(X1),X0)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f52500,f17118]) ).

fof(f60428,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X2),X2)))
        | ~ is_a_theorem(implies(not(X0),X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f60236,f20784]) ).

fof(f60695,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),X2)))
        | ~ is_a_theorem(implies(not(X0),X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f60428,f32979]) ).

fof(f61014,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))
        | ~ is_a_theorem(implies(not(X0),X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f60695,f46331]) ).

fof(f61179,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(X0,X2),X1))
        | ~ is_a_theorem(implies(X2,X1))
        | ~ is_a_theorem(implies(not(X0),X1)) )
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f61014,f9]) ).

fof(f61265,plain,
    ( ~ is_a_theorem(implies(sK1,implies(implies(sK1,sK2),implies(sK0,sK2))))
    | ~ is_a_theorem(implies(not(sK0),implies(implies(sK1,sK2),implies(sK0,sK2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(resolution,[],[f61179,f7]) ).

fof(f61408,plain,
    ( ~ is_a_theorem(implies(not(sK0),implies(implies(sK1,sK2),implies(sK0,sK2))))
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(forward_subsumption_resolution,[],[f61265,f507]) ).

fof(f61412,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(forward_subsumption_resolution,[],[f61408,f3246]) ).

fof(f61413,plain,
    ( ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(avatar_contradiction_clause,[],[f61412]) ).

cnf(s1,plain,
    ( spl3_1
    | spl3_2 ),
    inference(sat_conversion,[],[f28]) ).

cnf(s5,plain,
    ~ spl3_2,
    inference(sat_conversion,[],[f44]) ).

cnf(s8,plain,
    ( ~ spl3_1
    | spl3_2
    | spl3_5 ),
    inference(sat_conversion,[],[f132]) ).

cnf(s11,plain,
    ( ~ spl3_1
    | spl3_2
    | spl3_8 ),
    inference(sat_conversion,[],[f174]) ).

cnf(s42,plain,
    ( ~ spl3_1
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(sat_conversion,[],[f61413]) ).

cnf(s49,plain,
    spl3_1,
    inference(rat,[],[s1,s5]) ).

cnf(s50,plain,
    spl3_8,
    inference(rat,[],[s11,s5,s49]) ).

cnf(s53,plain,
    spl3_5,
    inference(rat,[],[s8,s5,s49]) ).

cnf(s63,plain,
    $false,
    inference(rat,[],[s42,s49,s50,s53]) ).

fof(f61414,plain,
    $false,
    inference(avatar_sat_refutation,[],[s63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL983+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n020.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 17:11:04 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.69/3.06  % (3621116)Detected formulas, will run a generic FOF schedule.
% 15.69/3.06  % (3621122)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=1530952992:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.69/3.06  % (3621121)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=3775568:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.69/3.06  % (3621123)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=4167094241:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.69/3.06  % (3621125)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1714216768:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.69/3.06  % (3621126)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3986333479:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.69/3.06  % (3621127)dis-21_1_sil=8000:lcm=predicate:random_seed=4042386458: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)
% 15.69/3.06  % (3621124)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3558203802:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.69/3.06  % (3621124)Refutation not found, incomplete strategy
% 15.69/3.06  % (3621124)------------------------------
% 15.69/3.06  % (3621124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.06  % (3621124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.06  % (3621124)CaDiCaL version: 2.1.3
% 15.69/3.06  % (3621124)Termination reason: Refutation not found, incomplete strategy
% 15.69/3.06  % (3621124)Time elapsed: 0.001 s
% 15.69/3.06  % (3621125)Refutation not found, incomplete strategy
% 15.69/3.06  % (3621125)------------------------------
% 15.69/3.06  % (3621125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.06  % (3621124)Peak memory usage: 87 MB
% 15.69/3.06  % (3621125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.06  % (3621125)CaDiCaL version: 2.1.3
% 15.69/3.06  % (3621125)Termination reason: Refutation not found, incomplete strategy
% 15.69/3.06  % (3621125)Time elapsed: 0.001 s
% 15.69/3.06  % (3621125)Peak memory usage: 87 MB
% 15.69/3.06  % (3621127)Instruction limit reached! 
% 15.69/3.06  % (3621127)------------------------------
% 15.69/3.06  % (3621127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.06  % (3621127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.06  % (3621127)CaDiCaL version: 2.1.3
% 15.69/3.06  % (3621127)Termination reason: Instruction limit
% 15.69/3.06  % (3621127)Termination phase: Saturation
% 15.69/3.06  % (3621127)Time elapsed: 0.076 s
% 15.69/3.06  % (3621127)Peak memory usage: 89 MB
% 15.69/3.06  % (3621127)Instructions burned: 129 (million)
% 15.69/3.06  % (3621126)Instruction limit reached! 
% 15.69/3.06  % (3621126)------------------------------
% 15.69/3.06  % (3621126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.06  % (3621126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.06  % (3621126)CaDiCaL version: 2.1.3
% 15.69/3.06  % (3621126)Termination reason: Instruction limit
% 15.69/3.06  % (3621126)Termination phase: Saturation
% 15.69/3.06  % (3621126)Time elapsed: 0.089 s
% 15.69/3.06  % (3621126)Peak memory usage: 89 MB
% 15.69/3.06  % (3621126)Instructions burned: 140 (million)
% 15.69/3.06  % (3621135)lrs+10_1_sil=8000:sp=occurrence:random_seed=2226046217:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.69/3.06  % (3621124)------------------------------
% 15.69/3.06  % (3621124)------------------------------
% 15.69/3.06  % (3621125)------------------------------
% 15.69/3.06  % (3621125)------------------------------
% 15.69/3.06  % (3621136)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4150151646:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.69/3.06  % (3621136)Instruction limit reached! 
% 15.69/3.06  % (3621136)------------------------------
% 15.69/3.06  % (3621136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.69/3.06  % (3621136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/3.06  % (3621136)CaDiCaL version: 2.1.3
% 22.80/4.05  % (3621136)Termination reason: Instruction limit
% 22.80/4.05  % (3621136)Termination phase: Saturation
% 22.80/4.05  % (3621136)Time elapsed: 0.091 s
% 22.80/4.05  % (3621136)Peak memory usage: 89 MB
% 22.80/4.05  % (3621136)Instructions burned: 157 (million)
% 22.80/4.05  % (3621135)Instruction limit reached! 
% 22.80/4.05  % (3621135)------------------------------
% 22.80/4.05  % (3621135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.80/4.05  % (3621135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/4.05  % (3621135)CaDiCaL version: 2.1.3
% 22.80/4.05  % (3621135)Termination reason: Instruction limit
% 22.80/4.05  % (3621135)Termination phase: Saturation
% 22.80/4.05  % (3621135)Time elapsed: 0.173 s
% 22.80/4.05  % (3621135)Peak memory usage: 91 MB
% 22.80/4.05  % (3621135)Instructions burned: 286 (million)
% 22.80/4.05  % (3621139)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1807906701:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 22.80/4.05  % (3621140)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=3949543718:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 22.80/4.05  % (3621141)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=919025407:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 22.80/4.05  % (3621141)Refutation not found, incomplete strategy
% 22.80/4.05  % (3621141)------------------------------
% 22.80/4.05  % (3621141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.80/4.05  % (3621141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/4.05  % (3621141)CaDiCaL version: 2.1.3
% 22.80/4.05  % (3621141)Termination reason: Refutation not found, incomplete strategy
% 22.80/4.05  % (3621141)Time elapsed: 0.001 s
% 22.80/4.05  % (3621141)Peak memory usage: 87 MB
% 22.80/4.05  % (3621140)Instruction limit reached! 
% 22.80/4.05  % (3621140)------------------------------
% 22.80/4.05  % (3621140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.80/4.05  % (3621140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/4.05  % (3621140)CaDiCaL version: 2.1.3
% 22.80/4.05  % (3621140)Termination reason: Instruction limit
% 22.80/4.05  % (3621140)Termination phase: Saturation
% 22.80/4.05  % (3621140)Time elapsed: 0.144 s
% 22.80/4.05  % (3621140)Peak memory usage: 89 MB
% 22.80/4.05  % (3621140)Instructions burned: 249 (million)
% 22.80/4.05  % (3621144)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1490369417:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 22.80/4.05  % (3621139)Instruction limit reached! 
% 22.80/4.05  % (3621139)------------------------------
% 22.80/4.05  % (3621139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.80/4.05  % (3621139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/4.05  % (3621139)CaDiCaL version: 2.1.3
% 22.80/4.05  % (3621139)Termination reason: Instruction limit
% 22.80/4.05  % (3621139)Termination phase: Saturation
% 22.80/4.05  % (3621139)Time elapsed: 0.209 s
% 22.80/4.05  % (3621139)Peak memory usage: 91 MB
% 22.80/4.05  % (3621139)Instructions burned: 326 (million)
% 22.80/4.05  % (3621146)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2683030055:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 22.80/4.05  % (3621141)------------------------------
% 22.80/4.05  % (3621141)------------------------------
% 22.80/4.05  % (3621146)Instruction limit reached! 
% 22.80/4.05  % (3621146)------------------------------
% 22.80/4.05  % (3621146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.80/4.05  % (3621146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/4.05  % (3621146)CaDiCaL version: 2.1.3
% 22.80/4.05  % (3621146)Termination reason: Instruction limit
% 22.80/4.05  % (3621146)Termination phase: Saturation
% 22.80/4.05  % (3621146)Time elapsed: 0.069 s
% 22.80/4.05  % (3621146)Peak memory usage: 89 MB
% 22.80/4.05  % (3621146)Instructions burned: 113 (million)
% 22.80/4.05  % (3621148)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1989818584:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 22.80/4.05  % (3621148)Instruction limit reached! 
% 22.80/4.05  % (3621148)------------------------------
% 22.80/4.05  % (3621148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.80/4.05  % (3621148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.32/9.62  % (3621148)CaDiCaL version: 2.1.3
% 62.32/9.62  % (3621148)Termination reason: Instruction limit
% 62.32/9.62  % (3621148)Termination phase: Saturation
% 62.32/9.62  % (3621148)Time elapsed: 0.074 s
% 62.32/9.62  % (3621148)Peak memory usage: 88 MB
% 62.32/9.62  % (3621148)Instructions burned: 127 (million)
% 62.32/9.62  % (3621150)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=951155848:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 62.32/9.62  % (3621151)lrs+10_1_sil=8000:sp=occurrence:random_seed=2779619815:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 62.32/9.62  % (3621150)Instruction limit reached! 
% 62.32/9.62  % (3621150)------------------------------
% 62.32/9.62  % (3621150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.32/9.62  % (3621150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.32/9.62  % (3621150)CaDiCaL version: 2.1.3
% 62.32/9.62  % (3621150)Termination reason: Instruction limit
% 62.32/9.62  % (3621150)Termination phase: Saturation
% 62.32/9.62  % (3621150)Time elapsed: 0.071 s
% 62.32/9.62  % (3621150)Peak memory usage: 89 MB
% 62.32/9.62  % (3621150)Instructions burned: 114 (million)
% 62.32/9.62  % (3621153)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2452931373:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 62.32/9.62  % (3621153)Refutation not found, incomplete strategy
% 62.32/9.62  % (3621153)------------------------------
% 62.32/9.62  % (3621153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.32/9.62  % (3621153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.32/9.62  % (3621153)CaDiCaL version: 2.1.3
% 62.32/9.62  % (3621153)Termination reason: Refutation not found, incomplete strategy
% 62.32/9.62  % (3621153)Time elapsed: 0.001 s
% 62.32/9.62  % (3621153)Peak memory usage: 88 MB
% 62.32/9.62  % (3621156)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4224518609:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 62.32/9.62  % (3621153)------------------------------
% 62.32/9.62  % (3621153)------------------------------
% 62.32/9.62  % (3621159)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1564297985:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 62.32/9.62  % (3621151)Instruction limit reached! 
% 62.32/9.62  % (3621151)------------------------------
% 62.32/9.62  % (3621151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.32/9.62  % (3621151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.32/9.62  % (3621151)CaDiCaL version: 2.1.3
% 62.32/9.62  % (3621151)Termination reason: Instruction limit
% 62.32/9.62  % (3621151)Termination phase: Saturation
% 62.32/9.62  % (3621151)Time elapsed: 0.528 s
% 62.32/9.62  % (3621151)Peak memory usage: 96 MB
% 62.32/9.62  % (3621151)Instructions burned: 907 (million)
% 62.32/9.62  % (3621159)Instruction limit reached! 
% 62.32/9.62  % (3621159)------------------------------
% 62.32/9.62  % (3621159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.32/9.62  % (3621159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.32/9.62  % (3621159)CaDiCaL version: 2.1.3
% 62.32/9.62  % (3621159)Termination reason: Instruction limit
% 62.32/9.62  % (3621159)Termination phase: Saturation
% 62.32/9.62  % (3621159)Time elapsed: 0.078 s
% 62.32/9.62  % (3621159)Peak memory usage: 89 MB
% 62.32/9.62  % (3621159)Instructions burned: 135 (million)
% 62.32/9.62  % (3621161)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2293257437:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 62.32/9.62  % (3621161)Refutation not found, incomplete strategy
% 62.32/9.62  % (3621161)------------------------------
% 62.32/9.62  % (3621161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.32/9.62  % (3621161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.32/9.62  % (3621161)CaDiCaL version: 2.1.3
% 62.32/9.62  % (3621161)Termination reason: Refutation not found, incomplete strategy
% 62.32/9.62  % (3621161)Time elapsed: 0.001 s
% 62.32/9.62  % (3621161)Peak memory usage: 88 MB
% 62.32/9.62  % (3621162)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2513584503:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 62.32/9.62  % (3621161)------------------------------
% 62.32/9.62  % (3621161)------------------------------
% 62.32/9.62  % (3621165)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=2629080267:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 78.60/11.98  % (3621144)Instruction limit reached! 
% 78.60/11.98  % (3621144)------------------------------
% 78.60/11.98  % (3621144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.60/11.98  % (3621144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.60/11.98  % (3621144)CaDiCaL version: 2.1.3
% 78.60/11.98  % (3621144)Termination reason: Instruction limit
% 78.60/11.98  % (3621144)Termination phase: Saturation
% 78.60/11.98  % (3621144)Time elapsed: 1.499 s
% 78.60/11.98  % (3621144)Peak memory usage: 141 MB
% 78.60/11.98  % (3621144)Instructions burned: 2351 (million)
% 78.60/11.98  % (3621165)Instruction limit reached! 
% 78.60/11.98  % (3621165)------------------------------
% 78.60/11.98  % (3621165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.60/11.98  % (3621165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.60/11.98  % (3621165)CaDiCaL version: 2.1.3
% 78.60/11.98  % (3621165)Termination reason: Instruction limit
% 78.60/11.98  % (3621165)Termination phase: Saturation
% 78.60/11.98  % (3621165)Time elapsed: 0.070 s
% 78.60/11.98  % (3621165)Peak memory usage: 89 MB
% 78.60/11.98  % (3621165)Instructions burned: 126 (million)
% 78.60/11.98  % (3621167)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2963914831:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 78.60/11.98  % (3621168)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1183147556:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 78.60/11.98  % (3621168)Refutation not found, incomplete strategy
% 78.60/11.98  % (3621168)------------------------------
% 78.60/11.98  % (3621168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.60/11.98  % (3621168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.60/11.98  % (3621168)CaDiCaL version: 2.1.3
% 78.60/11.98  % (3621168)Termination reason: Refutation not found, incomplete strategy
% 78.60/11.98  % (3621168)Time elapsed: 0.001 s
% 78.60/11.98  % (3621168)Peak memory usage: 88 MB
% 78.60/11.98  % (3621167)Instruction limit reached! 
% 78.60/11.98  % (3621167)------------------------------
% 78.60/11.98  % (3621167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.60/11.98  % (3621167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.60/11.98  % (3621167)CaDiCaL version: 2.1.3
% 78.60/11.98  % (3621167)Termination reason: Instruction limit
% 78.60/11.98  % (3621167)Termination phase: Saturation
% 78.60/11.98  % (3621167)Time elapsed: 0.087 s
% 78.60/11.98  % (3621167)Peak memory usage: 90 MB
% 78.60/11.98  % (3621167)Instructions burned: 135 (million)
% 78.60/11.98  % (3621171)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=862746905:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 78.60/11.98  % (3621168)------------------------------
% 78.60/11.98  % (3621168)------------------------------
% 78.60/11.98  % (3621173)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=2532998250:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 78.60/11.98  % (3621171)Instruction limit reached! 
% 78.60/11.98  % (3621171)------------------------------
% 78.60/11.98  % (3621171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.60/11.98  % (3621171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.60/11.98  % (3621171)CaDiCaL version: 2.1.3
% 78.60/11.98  % (3621171)Termination reason: Instruction limit
% 78.60/11.98  % (3621171)Termination phase: Saturation
% 78.60/11.98  % (3621171)Time elapsed: 0.269 s
% 78.60/11.98  % (3621171)Peak memory usage: 91 MB
% 78.60/11.98  % (3621171)Instructions burned: 431 (million)
% 78.60/11.98  % (3621175)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=1409338774:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 78.60/11.98  % (3621175)Instruction limit reached! 
% 78.60/11.98  % (3621175)------------------------------
% 78.60/11.98  % (3621175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.60/11.98  % (3621175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.01/14.57  % (3621175)CaDiCaL version: 2.1.3
% 97.01/14.57  % (3621175)Termination reason: Instruction limit
% 97.01/14.57  % (3621175)Termination phase: Saturation
% 97.01/14.57  % (3621175)Time elapsed: 0.090 s
% 97.01/14.57  % (3621175)Peak memory usage: 90 MB
% 97.01/14.57  % (3621175)Instructions burned: 151 (million)
% 97.01/14.57  % (3621177)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3401992569:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 97.01/14.57  % (3621156)Instruction limit reached! 
% 97.01/14.57  % (3621156)------------------------------
% 97.01/14.57  % (3621156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.01/14.57  % (3621156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.01/14.57  % (3621156)CaDiCaL version: 2.1.3
% 97.01/14.57  % (3621156)Termination reason: Instruction limit
% 97.01/14.57  % (3621156)Termination phase: Saturation
% 97.01/14.57  % (3621156)Time elapsed: 3.195 s
% 97.01/14.57  % (3621156)Peak memory usage: 163 MB
% 97.01/14.57  % (3621156)Instructions burned: 5202 (million)
% 97.01/14.57  % (3621179)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1589434722:i=667:av=off:fsr=off_2954 on theBenchmark for (2954ds/667Mi)
% 97.01/14.57  % (3621179)Refutation not found, incomplete strategy
% 97.01/14.57  % (3621179)------------------------------
% 97.01/14.57  % (3621179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.01/14.57  % (3621179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.01/14.57  % (3621179)CaDiCaL version: 2.1.3
% 97.01/14.57  % (3621179)Termination reason: Refutation not found, incomplete strategy
% 97.01/14.57  % (3621179)Time elapsed: 0.001 s
% 97.01/14.57  % (3621179)Peak memory usage: 88 MB
% 97.01/14.57  % (3621179)------------------------------
% 97.01/14.57  % (3621179)------------------------------
% 97.01/14.57  % (3621181)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=1756111313:s2a=on:i=185:s2at=1.8:fdi=4_2950 on theBenchmark for (2950ds/185Mi)
% 97.01/14.57  % (3621181)Instruction limit reached! 
% 97.01/14.57  % (3621181)------------------------------
% 97.01/14.57  % (3621181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.01/14.57  % (3621181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.01/14.57  % (3621181)CaDiCaL version: 2.1.3
% 97.01/14.57  % (3621181)Termination reason: Instruction limit
% 97.01/14.57  % (3621181)Termination phase: Saturation
% 97.01/14.57  % (3621181)Time elapsed: 0.098 s
% 97.01/14.57  % (3621181)Peak memory usage: 90 MB
% 97.01/14.57  % (3621181)Instructions burned: 187 (million)
% 97.01/14.57  % (3621183)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3403110652:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2948 on theBenchmark for (2948ds/193Mi)
% 97.01/14.57  % (3621183)Refutation not found, incomplete strategy
% 97.01/14.57  % (3621183)------------------------------
% 97.01/14.57  % (3621183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.01/14.57  % (3621183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.01/14.57  % (3621183)CaDiCaL version: 2.1.3
% 97.01/14.57  % (3621183)Termination reason: Refutation not found, incomplete strategy
% 97.01/14.57  % (3621183)Time elapsed: 0.001 s
% 97.01/14.57  % (3621183)Peak memory usage: 88 MB
% 97.01/14.57  % (3621183)------------------------------
% 97.01/14.57  % (3621183)------------------------------
% 97.01/14.57  % (3621185)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=311862352:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2944 on theBenchmark for (2944ds/4850Mi)
% 97.01/14.57  % (3621173)Instruction limit reached! 
% 97.01/14.57  % (3621173)------------------------------
% 97.01/14.57  % (3621173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.01/14.57  % (3621173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.01/14.57  % (3621173)CaDiCaL version: 2.1.3
% 97.01/14.57  % (3621173)Termination reason: Instruction limit
% 97.01/14.57  % (3621173)Termination phase: Saturation
% 97.01/14.57  % (3621173)Time elapsed: 3.452 s
% 97.01/14.57  % (3621173)Peak memory usage: 165 MB
% 97.01/14.57  % (3621173)Instructions burned: 6061 (million)
% 97.01/14.57  % (3621187)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2385934995:i=12111:sd=1:ss=included_2936 on theBenchmark for (2936ds/12111Mi)
% 97.01/14.57  % (3621185)Instruction limit reached! 
% 58.12/17.74  % (3621185)------------------------------
% 58.12/17.74  % (3621185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621185)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621185)Termination reason: Instruction limit
% 58.12/17.74  % (3621185)Termination phase: Saturation
% 58.12/17.74  % (3621185)Time elapsed: 3.009 s
% 58.12/17.74  % (3621185)Peak memory usage: 148 MB
% 58.12/17.74  % (3621185)Instructions burned: 4850 (million)
% 58.12/17.74  % (3621189)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2903722670:i=319:kws=precedence:fsr=off_2912 on theBenchmark for (2912ds/319Mi)
% 58.12/17.74  % (3621189)Instruction limit reached! 
% 58.12/17.74  % (3621189)------------------------------
% 58.12/17.74  % (3621189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621189)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621189)Termination reason: Instruction limit
% 58.12/17.74  % (3621189)Termination phase: Saturation
% 58.12/17.74  % (3621189)Time elapsed: 0.193 s
% 58.12/17.74  % (3621189)Peak memory usage: 92 MB
% 58.12/17.74  % (3621189)Instructions burned: 320 (million)
% 58.12/17.74  % (3621191)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=901734059:i=2064:ep=RST_2908 on theBenchmark for (2908ds/2064Mi)
% 58.12/17.74  % (3621191)Refutation not found, incomplete strategy
% 58.12/17.74  % (3621191)------------------------------
% 58.12/17.74  % (3621191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621191)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621191)Termination reason: Refutation not found, incomplete strategy
% 58.12/17.74  % (3621191)Time elapsed: 0.001 s
% 58.12/17.74  % (3621191)Peak memory usage: 88 MB
% 58.12/17.74  % (3621191)------------------------------
% 58.12/17.74  % (3621191)------------------------------
% 58.12/17.74  % (3621162)Instruction limit reached! 
% 58.12/17.74  % (3621162)------------------------------
% 58.12/17.74  % (3621162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621162)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621162)Termination reason: Instruction limit
% 58.12/17.74  % (3621162)Termination phase: Saturation
% 58.12/17.74  % (3621162)Time elapsed: 7.724 s
% 58.12/17.74  % (3621162)Peak memory usage: 245 MB
% 58.12/17.74  % (3621162)Instructions burned: 13194 (million)
% 58.12/17.74  % (3621193)dis-1011_128_sil=32000:random_seed=4163170002:i=3706:ep=RST:av=off_2904 on theBenchmark for (2904ds/3706Mi)
% 58.12/17.74  % (3621194)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3812234168:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2904 on theBenchmark for (2904ds/757Mi)
% 58.12/17.74  % (3621194)Refutation not found, incomplete strategy
% 58.12/17.74  % (3621194)------------------------------
% 58.12/17.74  % (3621194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621194)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621194)Termination reason: Refutation not found, incomplete strategy
% 58.12/17.74  % (3621194)Time elapsed: 0.001 s
% 58.12/17.74  % (3621194)Peak memory usage: 88 MB
% 58.12/17.74  % (3621194)------------------------------
% 58.12/17.74  % (3621194)------------------------------
% 58.12/17.74  % (3621197)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3325588615:i=13913:ss=axioms:sgt=8_2899 on theBenchmark for (2899ds/13913Mi)
% 58.12/17.74  % (3621177)Instruction limit reached! 
% 58.12/17.74  % (3621177)------------------------------
% 58.12/17.74  % (3621177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621177)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621177)Termination reason: Instruction limit
% 58.12/17.74  % (3621177)Termination phase: Saturation
% 58.12/17.74  % (3621177)Time elapsed: 7.563 s
% 58.12/17.74  % (3621177)Peak memory usage: 294 MB
% 58.12/17.74  % (3621177)Instructions burned: 14156 (million)
% 58.12/17.74  % (3621199)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=750622638:i=9925:aac=none_2890 on theBenchmark for (2890ds/9925Mi)
% 58.12/17.74  % (3621193)Instruction limit reached! 
% 58.12/17.74  % (3621193)------------------------------
% 58.12/17.74  % (3621193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621193)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621193)Termination reason: Instruction limit
% 58.12/17.74  % (3621193)Termination phase: Saturation
% 58.12/17.74  % (3621193)Time elapsed: 2.254 s
% 58.12/17.74  % (3621193)Peak memory usage: 118 MB
% 58.12/17.74  % (3621193)Instructions burned: 3707 (million)
% 58.12/17.74  % (3621201)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3526521195:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2880 on theBenchmark for (2880ds/2479Mi)
% 58.12/17.74  % (3621201)Refutation not found, incomplete strategy
% 58.12/17.74  % (3621201)------------------------------
% 58.12/17.74  % (3621201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621201)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621201)Termination reason: Refutation not found, incomplete strategy
% 58.12/17.74  % (3621201)Time elapsed: 0.001 s
% 58.12/17.74  % (3621201)Peak memory usage: 88 MB
% 58.12/17.74  % (3621201)------------------------------
% 58.12/17.74  % (3621201)------------------------------
% 58.12/17.74  % (3621187)Instruction limit reached! 
% 58.12/17.74  % (3621187)------------------------------
% 58.12/17.74  % (3621187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621187)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621187)Termination reason: Instruction limit
% 58.12/17.74  % (3621187)Termination phase: Saturation
% 58.12/17.74  % (3621187)Time elapsed: 6.021 s
% 58.12/17.74  % (3621187)Peak memory usage: 252 MB
% 58.12/17.74  % (3621187)Instructions burned: 12111 (million)
% 58.12/17.74  % (3621203)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1471793147:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2876 on theBenchmark for (2876ds/440Mi)
% 58.12/17.74  % (3621205)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3406642814:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2874 on theBenchmark for (2874ds/11145Mi)
% 58.12/17.74  % (3621203)Instruction limit reached! 
% 58.12/17.74  % (3621203)------------------------------
% 58.12/17.74  % (3621203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621203)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621203)Termination reason: Instruction limit
% 58.12/17.74  % (3621203)Termination phase: Saturation
% 58.12/17.74  % (3621203)Time elapsed: 0.224 s
% 58.12/17.74  % (3621203)Peak memory usage: 89 MB
% 58.12/17.74  % (3621203)Instructions burned: 442 (million)
% 58.12/17.74  % (3621207)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3842537703:cts=off:i=3034:av=off:er=known:fsd=on_2872 on theBenchmark for (2872ds/3034Mi)
% 58.12/17.74  % (3621205)Refutation not found, incomplete strategy
% 58.12/17.74  % (3621205)------------------------------
% 58.12/17.74  % (3621205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621205)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621205)Termination reason: Refutation not found, incomplete strategy
% 58.12/17.74  % (3621205)Time elapsed: 0.593 s
% 58.12/17.74  % (3621205)Peak memory usage: 128 MB
% 58.12/17.74  % (3621205)Instructions burned: 896 (million)
% 58.12/17.74  % (3621205)------------------------------
% 58.12/17.74  % (3621205)------------------------------
% 58.12/17.74  % (3621209)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3577427985:st=2:s2a=on:i=524:s2at=2:ss=axioms_2864 on theBenchmark for (2864ds/524Mi)
% 58.12/17.74  % (3621209)Refutation not found, incomplete strategy
% 58.12/17.74  % (3621209)------------------------------
% 58.12/17.74  % (3621209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621209)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621209)Termination reason: Refutation not found, incomplete strategy
% 58.12/17.74  % (3621209)Time elapsed: 0.001 s
% 58.12/17.74  % (3621209)Peak memory usage: 88 MB
% 58.12/17.74  % (3621209)------------------------------
% 58.12/17.74  % (3621209)------------------------------
% 58.12/17.74  % (3621211)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2011171360:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2860 on theBenchmark for (2860ds/1016Mi)
% 58.12/17.74  % (3621211)Refutation not found, incomplete strategy
% 58.12/17.74  % (3621211)------------------------------
% 58.12/17.74  % (3621211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621211)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621211)Termination reason: Refutation not found, incomplete strategy
% 58.12/17.74  % (3621211)Time elapsed: 0.001 s
% 58.12/17.74  % (3621211)Peak memory usage: 88 MB
% 58.12/17.74  % (3621211)------------------------------
% 58.12/17.74  % (3621211)------------------------------
% 58.12/17.74  % (3621213)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=372508702:i=14123:bd=preordered:ins=4_2856 on theBenchmark for (2856ds/14123Mi)
% 58.12/17.74  % (3621207)Instruction limit reached! 
% 58.12/17.74  % (3621207)------------------------------
% 58.12/17.74  % (3621207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.12/17.74  % (3621207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.12/17.74  % (3621207)CaDiCaL version: 2.1.3
% 58.12/17.74  % (3621207)Termination reason: Instruction limit
% 58.12/17.74  % (3621207)Termination phase: Saturation
% 58.12/17.74  % (3621207)Time elapsed: 1.717 s
% 58.12/17.74  % (3621207)Peak memory usage: 143 MB
% 58.12/17.74  % (3621207)Instructions burned: 3036 (million)
% 58.12/17.74  % (3621215)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1779815110:i=5781:kws=precedence:bd=all:rawr=on_2853 on theBenchmark for (2853ds/5781Mi)
% 58.12/17.74  % (3621197)First to succeed.
% 58.12/17.74  % (3621197)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3621116"
% 58.12/17.74  % (3621197)Refutation found. Thanks to Tanya!
% 58.12/17.74  % SZS status Theorem for theBenchmark
% 58.12/17.74  % SZS output start Proof for theBenchmark
% See solution above
% 120.14/17.93  % (3621197)------------------------------
% 120.14/17.93  % (3621197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.14/17.93  % (3621197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.14/17.93  % (3621197)CaDiCaL version: 2.1.3
% 120.14/17.93  % (3621197)Termination reason: Refutation
% 120.14/17.93  % (3621197)Time elapsed: 6.367 s
% 120.14/17.93  % (3621197)Peak memory usage: 220 MB
% 120.14/17.93  % (3621197)Instructions burned: 10769 (million)
% 120.14/17.93  % (3621197)------------------------------
% 120.14/17.93  % (3621197)------------------------------
% 120.14/17.93  % (3621116)Success in time 16.875 s
% 120.14/17.93  % Vampire exiting
%------------------------------------------------------------------------------