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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW474+5 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 01:40:12 PM UTC 2026

% Result   : Theorem 19.86s 3.08s
% Output   : Refutation 19.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   58 (  23 unt;   4 def)
%            Number of atoms       :  119 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  121 (  60   ~;  50   |;   0   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  12 con; 0-4 aty)
%            Number of variables   :   47 (   0 sgn  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,axiom,
    ! [X0,X1] : hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),bot_bot(fun(hoare_509422987triple(X0),bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3))
     => ( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
       => hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).

fof(f57,axiom,
    ! [X0] :
      ( hBOOL(hoare_1883395792gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP(com,bool,wt,X0))
         => hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool))))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_MGF) ).

fof(f128,axiom,
    ! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_singleton__conv2) ).

fof(f130,axiom,
    ! [X0,X1] :
      ( hBOOL(wT_bodies)
     => ( hAPP(pname,option(com),body,X0) = hAPP(com,option(com),some(com),X1)
       => hBOOL(hAPP(com,bool,wt,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_WT__bodiesD) ).

fof(f162,axiom,
    hBOOL(hoare_1883395792gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f163,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f167,axiom,
    hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

fof(f169,conjecture,
    hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).

fof(f170,negated_conjecture,
    ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
    inference(negated_conjecture,[status(cth)],[f169]) ).

fof(f171,plain,
    ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
    inference(flattening,[],[f170]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f178,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
    inference(flattening,[],[f177]) ).

fof(f194,plain,
    ! [X0] :
      ( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
      | ~ hBOOL(hAPP(com,bool,wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1883395792gleton) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f195,plain,
    ! [X0] :
      ( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
      | ~ hBOOL(hAPP(com,bool,wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1883395792gleton) ),
    inference(flattening,[],[f194]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(com,bool,wt,X1))
      | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
      | ~ hBOOL(wT_bodies) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(com,bool,wt,X1))
      | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
      | ~ hBOOL(wT_bodies) ),
    inference(flattening,[],[f243]) ).

fof(f340,plain,
    ! [X0,X1] : hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),bot_bot(fun(hoare_509422987triple(X0),bool)))),
    inference(cnf_transformation,[],[f38]) ).

fof(f344,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X3))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X1),X2))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(X0),bool),bool,hAPP(fun(hoare_509422987triple(X0),bool),fun(fun(hoare_509422987triple(X0),bool),bool),hoare_122391849derivs(X0),X2),X3)) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f362,plain,
    ! [X0] :
      ( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
      | ~ hBOOL(hAPP(com,bool,wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1883395792gleton) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f468,plain,
    ! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)),
    inference(cnf_transformation,[],[f128]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(com,bool,wt,X1))
      | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
      | ~ hBOOL(wT_bodies) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f512,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[],[f162]) ).

fof(f513,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f163]) ).

fof(f517,plain,
    hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
    inference(cnf_transformation,[],[f167]) ).

fof(f519,plain,
    ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
    inference(cnf_transformation,[],[f171]) ).

fof(f618,definition,
    ( spl14_1
  <=> hBOOL(wT_bodies) ),
    introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ hBOOL(wT_bodies)
    | spl14_1 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,definition,
    ( spl14_2
  <=> ! [X0,X1] :
        ( hBOOL(hAPP(com,bool,wt,X1))
        | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1) ) ),
    introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).

fof(f622,plain,
    ( ! [X0,X1] :
        ( hBOOL(hAPP(com,bool,wt,X1))
        | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1) )
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f623,plain,
    ( ~ spl14_1
    | spl14_2 ),
    inference(avatar_split_clause,[],[f471,f621,f618]) ).

fof(f625,definition,
    ( spl14_3
  <=> hBOOL(hoare_1883395792gleton) ),
    introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ hBOOL(hoare_1883395792gleton)
    | spl14_3 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f636,definition,
    ( spl14_6
  <=> ! [X0] :
        ( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
        | ~ hBOOL(hAPP(com,bool,wt,X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).

fof(f637,plain,
    ( ! [X0] :
        ( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_509422987triple(state),bool)))))
        | ~ hBOOL(hAPP(com,bool,wt,X0)) )
    | ~ spl14_6 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f638,plain,
    ( ~ spl14_3
    | ~ spl14_1
    | spl14_6 ),
    inference(avatar_split_clause,[],[f362,f636,f618,f625]) ).

fof(f639,plain,
    ( $false
    | spl14_1 ),
    inference(forward_subsumption_resolution,[],[f619,f513]) ).

fof(f640,plain,
    spl14_1,
    inference(avatar_contradiction_clause,[],[f639]) ).

fof(f641,plain,
    ( $false
    | spl14_3 ),
    inference(forward_subsumption_resolution,[],[f626,f512]) ).

fof(f642,plain,
    spl14_3,
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f3395,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),X0))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))) ),
    inference(resolution,[],[f344,f519]) ).

fof(f3407,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),X0))
      | ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X0),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))) ),
    inference(forward_demodulation,[],[f3395,f468]) ).

fof(f3408,plain,
    ~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y))))),
    inference(resolution,[],[f3407,f340]) ).

fof(f3481,plain,
    ( ! [X0] :
        ( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),collect(hoare_509422987triple(state)),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X0)))))
        | ~ hBOOL(hAPP(com,bool,wt,X0)) )
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f637,f468]) ).

fof(f3491,plain,
    ( ~ hBOOL(hAPP(com,bool,wt,y))
    | ~ spl14_6 ),
    inference(resolution,[],[f3481,f3408]) ).

fof(f3500,plain,
    ( ! [X0] : hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),y)
    | ~ spl14_2
    | ~ spl14_6 ),
    inference(resolution,[],[f3491,f622]) ).

fof(f3505,plain,
    ( ! [X0] : hAPP(pname,option(com),body,X0) != hAPP(pname,option(com),body,pn)
    | ~ spl14_2
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f3500,f517]) ).

fof(f3556,plain,
    ( $false
    | ~ spl14_2
    | ~ spl14_6 ),
    inference(equality_resolution,[],[f3505]) ).

fof(f3557,plain,
    ( ~ spl14_2
    | ~ spl14_6 ),
    inference(avatar_contradiction_clause,[],[f3556]) ).

cnf(s1,plain,
    ( ~ spl14_1
    | spl14_2 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s4,plain,
    ( ~ spl14_1
    | ~ spl14_3
    | spl14_6 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s5,plain,
    spl14_1,
    inference(sat_conversion,[],[f640]) ).

cnf(s6,plain,
    spl14_3,
    inference(sat_conversion,[],[f642]) ).

cnf(s108,plain,
    ( ~ spl14_2
    | ~ spl14_6 ),
    inference(sat_conversion,[],[f3557]) ).

cnf(s121,plain,
    spl14_6,
    inference(rat,[],[s4,s6,s5]) ).

cnf(s122,plain,
    ~ spl14_2,
    inference(rat,[],[s108,s121]) ).

cnf(s125,plain,
    $false,
    inference(rat,[],[s1,s122,s5]) ).

fof(f3558,plain,
    $false,
    inference(avatar_sat_refutation,[],[s125]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW474+5 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n005.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 14:07:01 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.46/2.15  % (802738)Will run a generic schedule for satisfiability detection.
% 13.46/2.15  % (802749)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3884981453:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.46/2.15  % (802744)% WARNING: option uhcvi not known.
% 13.46/2.15  % (802743)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2678678508_2999 on theBenchmark for (2999ds/0Mi)
% 13.46/2.15  % (802745)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2257549881:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.46/2.15  % (802744)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2248243749:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.46/2.15  % (802746)dis+10_1_sil=32000:sp=arity:random_seed=797311486:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.46/2.15  % (802747)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3780848879:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.46/2.15  % (802748)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1533190925:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.46/2.15  % (802749)Instruction limit reached! 
% 13.46/2.15  % (802749)------------------------------
% 13.46/2.15  % (802749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.15  % (802749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.15  % (802749)CaDiCaL version: 2.1.3
% 13.46/2.15  % (802749)Termination reason: Instruction limit
% 13.46/2.15  % (802749)Termination phase: Saturation
% 13.46/2.15  % (802749)Time elapsed: 0.050 s
% 13.46/2.15  % (802749)Peak memory usage: 13 MB
% 13.46/2.15  % (802749)Instructions burned: 162 (million)
% 13.46/2.15  % (802757)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3389794208:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.46/2.15  % (802746)Instruction limit reached! 
% 13.46/2.15  % (802746)------------------------------
% 13.46/2.15  % (802746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.15  % (802746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.15  % (802746)CaDiCaL version: 2.1.3
% 13.46/2.15  % (802746)Termination reason: Instruction limit
% 13.46/2.15  % (802746)Termination phase: Saturation
% 13.46/2.15  % (802746)Time elapsed: 0.058 s
% 13.46/2.15  % (802746)Peak memory usage: 12 MB
% 13.46/2.15  % (802746)Instructions burned: 104 (million)
% 13.46/2.15  % (802748)Instruction limit reached! 
% 13.46/2.15  % (802748)------------------------------
% 13.46/2.15  % (802748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.15  % (802748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.15  % (802748)CaDiCaL version: 2.1.3
% 13.46/2.15  % (802748)Termination reason: Instruction limit
% 13.46/2.15  % (802748)Termination phase: Saturation
% 13.46/2.15  % (802748)Time elapsed: 0.067 s
% 13.46/2.15  % (802748)Peak memory usage: 13 MB
% 13.46/2.15  % (802748)Instructions burned: 131 (million)
% 13.46/2.15  % (802747)Instruction limit reached! 
% 13.46/2.15  % (802747)------------------------------
% 13.46/2.15  % (802747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.15  % (802747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.15  % (802747)CaDiCaL version: 2.1.3
% 13.46/2.15  % (802747)Termination reason: Instruction limit
% 13.46/2.15  % (802747)Termination phase: Saturation
% 13.46/2.15  % (802747)Time elapsed: 0.067 s
% 13.46/2.15  % (802747)Peak memory usage: 13 MB
% 13.46/2.15  % (802747)Instructions burned: 118 (million)
% 13.46/2.15  % (802759)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4061237364:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.46/2.15  % (802760)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3935146642:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.46/2.15  % (802761)ott-21_1_sil=16000:fs=off:random_seed=307464165:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.46/2.15  % (802759)Instruction limit reached! 
% 13.46/2.15  % (802759)------------------------------
% 13.46/2.15  % (802759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.46/2.15  % (802759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.46/2.15  % (802759)CaDiCaL version: 2.1.3
% 13.46/2.15  % (802759)Termination reason: Instruction limit
% 19.86/3.08  % (802759)Termination phase: Saturation
% 19.86/3.08  % (802759)Time elapsed: 0.074 s
% 19.86/3.08  % (802759)Peak memory usage: 13 MB
% 19.86/3.08  % (802759)Instructions burned: 132 (million)
% 19.86/3.08  % (802765)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2951583457:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 19.86/3.08  % (802761)Instruction limit reached! 
% 19.86/3.08  % (802761)------------------------------
% 19.86/3.08  % (802761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802761)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802761)Termination reason: Instruction limit
% 19.86/3.08  % (802761)Termination phase: Saturation
% 19.86/3.08  % (802761)Time elapsed: 0.096 s
% 19.86/3.08  % (802761)Peak memory usage: 13 MB
% 19.86/3.08  % (802761)Instructions burned: 180 (million)
% 19.86/3.08  % (802767)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2227435332:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.86/3.08  % (802757)Instruction limit reached! 
% 19.86/3.08  % (802757)------------------------------
% 19.86/3.08  % (802757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802757)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802757)Termination reason: Instruction limit
% 19.86/3.08  % (802757)Termination phase: Finite model building preprocessing
% 19.86/3.08  % (802757)Time elapsed: 0.183 s
% 19.86/3.08  % (802757)Peak memory usage: 15 MB
% 19.86/3.08  % (802757)Instructions burned: 715 (million)
% 19.86/3.08  % (802769)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1973927936:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 19.86/3.08  % (802760)Instruction limit reached! 
% 19.86/3.08  % (802760)------------------------------
% 19.86/3.08  % (802760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802760)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802760)Termination reason: Instruction limit
% 19.86/3.08  % (802760)Termination phase: Saturation
% 19.86/3.08  % (802760)Time elapsed: 0.346 s
% 19.86/3.08  % (802760)Peak memory usage: 16 MB
% 19.86/3.08  % (802760)Instructions burned: 684 (million)
% 19.86/3.08  % (802765)Instruction limit reached! 
% 19.86/3.08  % (802765)------------------------------
% 19.86/3.08  % (802765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802765)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802765)Termination reason: Instruction limit
% 19.86/3.08  % (802765)Termination phase: Saturation
% 19.86/3.08  % (802765)Time elapsed: 0.273 s
% 19.86/3.08  % (802765)Peak memory usage: 14 MB
% 19.86/3.08  % (802765)Instructions burned: 478 (million)
% 19.86/3.08  % (802771)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2343556371:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 19.86/3.08  % (802772)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3923086579:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 19.86/3.08  % TRYING [1]
% 19.86/3.08  % TRYING [2]
% 19.86/3.08  % (802769)Instruction limit reached! 
% 19.86/3.08  % (802769)------------------------------
% 19.86/3.08  % (802769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802767)Instruction limit reached! 
% 19.86/3.08  % (802767)------------------------------
% 19.86/3.08  % (802767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802769)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802767)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802769)Termination reason: Instruction limit
% 19.86/3.08  % (802769)Termination phase: Saturation
% 19.86/3.08  % (802767)Termination reason: Instruction limit
% 19.86/3.08  % (802767)Termination phase: Finite model building preprocessing
% 19.86/3.08  % (802769)Time elapsed: 0.372 s
% 19.86/3.08  % (802767)Time elapsed: 0.418 s
% 19.86/3.08  % (802767)Peak memory usage: 17 MB
% 19.86/3.08  % (802769)Peak memory usage: 22 MB
% 19.86/3.08  % (802767)Instructions burned: 866 (million)
% 19.86/3.08  % (802769)Instructions burned: 1181 (million)
% 19.86/3.08  % (802775)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=319554712:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 19.86/3.08  % (802776)fmb+10_1_sil=64000:random_seed=2269142099:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 19.86/3.08  % (802772)Instruction limit reached! 
% 19.86/3.08  % (802772)------------------------------
% 19.86/3.08  % (802772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802772)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802772)Termination reason: Instruction limit
% 19.86/3.08  % (802772)Termination phase: Saturation
% 19.86/3.08  % (802772)Time elapsed: 0.350 s
% 19.86/3.08  % (802772)Peak memory usage: 15 MB
% 19.86/3.08  % (802772)Instructions burned: 692 (million)
% 19.86/3.08  % TRYING [3]
% 19.86/3.08  % (802779)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1643634523:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 19.86/3.08  % (802771)Instruction limit reached! 
% 19.86/3.08  % (802771)------------------------------
% 19.86/3.08  % (802771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802771)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802771)Termination reason: Instruction limit
% 19.86/3.08  % (802771)Termination phase: Finite model building preprocessing
% 19.86/3.08  % (802771)Time elapsed: 0.432 s
% 19.86/3.08  % (802771)Peak memory usage: 18 MB
% 19.86/3.08  % (802771)Instructions burned: 892 (million)
% 19.86/3.08  % (802775)Instruction limit reached! 
% 19.86/3.08  % (802775)------------------------------
% 19.86/3.08  % (802775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802775)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802775)Termination reason: Instruction limit
% 19.86/3.08  % (802775)Termination phase: Saturation
% 19.86/3.08  % (802775)Time elapsed: 0.271 s
% 19.86/3.08  % (802775)Peak memory usage: 17 MB
% 19.86/3.08  % (802775)Instructions burned: 881 (million)
% 19.86/3.08  % (802781)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3178108434:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 19.86/3.08  % (802782)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1230048233:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 19.86/3.08  % TRYING [1]
% 19.86/3.08  % TRYING [2]
% 19.86/3.08  % (802779)Cannot represent all propositional literals internally
% 19.86/3.08  % (802779)Refutation not found, incomplete strategy
% 19.86/3.08  % (802779)------------------------------
% 19.86/3.08  % (802779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802779)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802779)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.08  % (802779)Time elapsed: 0.476 s
% 19.86/3.08  % (802779)Peak memory usage: 20 MB
% 19.86/3.08  % (802779)Instructions burned: 993 (million)
% 19.86/3.08  % (802779)------------------------------
% 19.86/3.08  % (802779)------------------------------
% 19.86/3.08  % (802785)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3021774706:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 19.86/3.08  % (802781)Instruction limit reached! 
% 19.86/3.08  % (802781)------------------------------
% 19.86/3.08  % (802781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802781)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802781)Termination reason: Instruction limit
% 19.86/3.08  % (802781)Termination phase: Finite model building preprocessing
% 19.86/3.08  % (802781)Time elapsed: 0.444 s
% 19.86/3.08  % (802781)Peak memory usage: 18 MB
% 19.86/3.08  % (802781)Instructions burned: 920 (million)
% 19.86/3.08  % (802787)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2305339277:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 19.86/3.08  % (802787)Cannot represent all propositional literals internally
% 19.86/3.08  % (802787)Refutation not found, incomplete strategy
% 19.86/3.08  % (802787)------------------------------
% 19.86/3.08  % (802787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802787)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802787)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.08  % (802787)Time elapsed: 0.503 s
% 19.86/3.08  % (802787)Peak memory usage: 20 MB
% 19.86/3.08  % (802787)Instructions burned: 1046 (million)
% 19.86/3.08  % (802787)------------------------------
% 19.86/3.08  % (802787)------------------------------
% 19.86/3.08  % (802789)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=398526565:fmbsr=2.30978:i=2174_2980 on theBenchmark for (2980ds/2174Mi)
% 19.86/3.08  % TRYING [3]
% 19.86/3.08  % (802785)Instruction limit reached! 
% 19.86/3.08  % (802785)------------------------------
% 19.86/3.08  % (802785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802785)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802785)Termination reason: Instruction limit
% 19.86/3.08  % (802785)Termination phase: Saturation
% 19.86/3.08  % (802785)Time elapsed: 0.808 s
% 19.86/3.08  % (802785)Peak memory usage: 29 MB
% 19.86/3.08  % (802785)Instructions burned: 1472 (million)
% 19.86/3.08  % (802791)ott-2_1_sil=16000:newcnf=on:random_seed=613529189:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2978 on theBenchmark for (2978ds/869Mi)
% 19.86/3.08  % (802789)Cannot represent all propositional literals internally
% 19.86/3.08  % (802789)Refutation not found, incomplete strategy
% 19.86/3.08  % (802789)------------------------------
% 19.86/3.08  % (802789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802789)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802789)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.08  % (802789)Time elapsed: 0.477 s
% 19.86/3.08  % (802789)Peak memory usage: 18 MB
% 19.86/3.08  % (802789)Instructions burned: 998 (million)
% 19.86/3.08  % (802789)------------------------------
% 19.86/3.08  % (802789)------------------------------
% 19.86/3.08  % (802793)ott+10_1_sil=32000:tgt=ground:random_seed=2615224819:i=5114:av=off_2975 on theBenchmark for (2975ds/5114Mi)
% 19.86/3.08  % (802782)Instruction limit reached! 
% 19.86/3.08  % (802782)------------------------------
% 19.86/3.08  % (802782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802782)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802782)Termination reason: Instruction limit
% 19.86/3.08  % (802782)Termination phase: Saturation
% 19.86/3.08  % (802782)Time elapsed: 1.519 s
% 19.86/3.08  % (802782)Peak memory usage: 35 MB
% 19.86/3.08  % (802782)Instructions burned: 5134 (million)
% 19.86/3.08  % (802795)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3101586561:i=54282_2975 on theBenchmark for (2975ds/54282Mi)
% 19.86/3.08  % (802791)Instruction limit reached! 
% 19.86/3.08  % (802791)------------------------------
% 19.86/3.08  % (802791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802791)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802791)Termination reason: Instruction limit
% 19.86/3.08  % (802791)Termination phase: Saturation
% 19.86/3.08  % (802791)Time elapsed: 0.438 s
% 19.86/3.08  % (802791)Peak memory usage: 16 MB
% 19.86/3.08  % (802791)Instructions burned: 870 (million)
% 19.86/3.08  % (802797)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4126847272:i=3512:aac=none_2973 on theBenchmark for (2973ds/3512Mi)
% 19.86/3.08  % TRYING [1]
% 19.86/3.08  % TRYING [2]
% 19.86/3.08  % (802797) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-802738-802797"...
% 19.86/3.08  % (802797)...printing done.
% 19.86/3.08  % (802797)Refutation found. Thanks to Tanya!
% 19.86/3.08  % SZS status Theorem for theBenchmark
% 19.86/3.08  % SZS output start Proof for theBenchmark
% See solution above
% 19.86/3.08  % (802797)------------------------------
% 19.86/3.08  % (802797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.08  % (802797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.08  % (802797)CaDiCaL version: 2.1.3
% 19.86/3.08  % (802797)Termination reason: Refutation
% 19.86/3.08  % (802797)Time elapsed: 0.149 s
% 19.86/3.08  % (802797)Peak memory usage: 14 MB
% 19.86/3.08  % (802797)Instructions burned: 257 (million)
% 19.86/3.08  % (802738)Success in time 2.848 s
% 19.86/3.08  % Vampire exiting
%------------------------------------------------------------------------------