TSTP Solution File: SWW470+6 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW470+6 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:32:42 EDT 2024

% Result   : Theorem 3.21s 0.97s
% Output   : Refutation 3.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  26 unt;   0 def)
%            Number of atoms       :   44 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (   9   ~;   3   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  11 con; 0-5 aty)
%            Number of variables   :   76 (  72   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9262,plain,
    $false,
    inference(subsumption_resolution,[],[f9261,f1911]) ).

fof(f1911,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f616]) ).

fof(f616,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f9261,plain,
    hBOOL(fFalse),
    inference(forward_demodulation,[],[f9260,f2722]) ).

fof(f2722,plain,
    fFalse = hAPP(bool,bool,combi(bool),fFalse),
    inference(definition_unfolding,[],[f1903,f2117]) ).

fof(f2117,plain,
    ! [X0,X1] : ti(X0,X1) = hAPP(X0,X0,combi(X0),X1),
    inference(cnf_transformation,[],[f758]) ).

fof(f758,plain,
    ! [X0,X1] : ti(X0,X1) = hAPP(X0,X0,combi(X0),X1),
    inference(rectify,[],[f607]) ).

fof(f607,axiom,
    ! [X2,X126] : hAPP(X2,X2,combi(X2),X126) = ti(X2,X126),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1903,plain,
    fFalse = ti(bool,fFalse),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    fFalse = ti(bool,fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f9260,plain,
    hBOOL(hAPP(bool,bool,combi(bool),fFalse)),
    inference(forward_demodulation,[],[f9259,f2916]) ).

fof(f2916,plain,
    ! [X2,X3,X0,X1] : hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3) = hAPP(X1,X1,combi(X1),X2),
    inference(definition_unfolding,[],[f2376,f2117]) ).

fof(f2376,plain,
    ! [X2,X3,X0,X1] : ti(X1,X2) = hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3),
    inference(cnf_transformation,[],[f942]) ).

fof(f942,plain,
    ! [X0,X1,X2,X3] : ti(X1,X2) = hAPP(X0,X1,hAPP(X1,fun(X0,X1),combk(X1,X0),X2),X3),
    inference(rectify,[],[f608]) ).

fof(f608,axiom,
    ! [X0,X2,X126,X127] : ti(X2,X126) = hAPP(X0,X2,hAPP(X2,fun(X0,X2),combk(X2,X0),X126),X127),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f9259,plain,
    hBOOL(hAPP(state,bool,hAPP(bool,fun(state,bool),combk(bool,state),fFalse),sK81(x_a,g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
    inference(forward_demodulation,[],[f9258,f2915]) ).

fof(f2915,plain,
    ! [X2,X3,X0,X1] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,hAPP(fun(X0,X1),fun(X0,X1),combi(fun(X0,X1)),X2),X3),
    inference(definition_unfolding,[],[f2375,f2117]) ).

fof(f2375,plain,
    ! [X2,X3,X0,X1] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,ti(fun(X0,X1),X2),X3),
    inference(cnf_transformation,[],[f941]) ).

fof(f941,plain,
    ! [X0,X1,X2,X3] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,ti(fun(X0,X1),X2),X3),
    inference(rectify,[],[f60]) ).

fof(f60,axiom,
    ! [X2,X1,X3,X4] : hAPP(X2,X1,ti(fun(X2,X1),X3),X4) = hAPP(X2,X1,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f9258,plain,
    hBOOL(hAPP(state,bool,hAPP(fun(state,bool),fun(state,bool),combi(fun(state,bool)),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),sK81(x_a,g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
    inference(forward_demodulation,[],[f9206,f2916]) ).

fof(f9206,plain,
    hBOOL(hAPP(state,bool,hAPP(x_a,fun(state,bool),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)),sK80(x_a,g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse)))),sK81(x_a,g,c,hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))))),
    inference(resolution,[],[f2620,f1901]) ).

fof(f1901,plain,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(x_a),bool),bool,hAPP(fun(hoare_1656922687triple(x_a),bool),fun(fun(hoare_1656922687triple(x_a),bool),bool),hoare_279057269derivs(x_a),g),hAPP(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool),hAPP(hoare_1656922687triple(x_a),fun(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool)),insert(hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a))),hoare_246368825triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_1656922687triple(x_a),bool))))),
    inference(cnf_transformation,[],[f625]) ).

fof(f625,plain,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(x_a),bool),bool,hAPP(fun(hoare_1656922687triple(x_a),bool),fun(fun(hoare_1656922687triple(x_a),bool),bool),hoare_279057269derivs(x_a),g),hAPP(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool),hAPP(hoare_1656922687triple(x_a),fun(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool)),insert(hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a))),hoare_246368825triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_1656922687triple(x_a),bool))))),
    inference(flattening,[],[f624]) ).

fof(f624,negated_conjecture,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(x_a),bool),bool,hAPP(fun(hoare_1656922687triple(x_a),bool),fun(fun(hoare_1656922687triple(x_a),bool),bool),hoare_279057269derivs(x_a),g),hAPP(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool),hAPP(hoare_1656922687triple(x_a),fun(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool)),insert(hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a))),hoare_246368825triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_1656922687triple(x_a),bool))))),
    inference(negated_conjecture,[],[f623]) ).

fof(f623,conjecture,
    hBOOL(hAPP(fun(hoare_1656922687triple(x_a),bool),bool,hAPP(fun(hoare_1656922687triple(x_a),bool),fun(fun(hoare_1656922687triple(x_a),bool),bool),hoare_279057269derivs(x_a),g),hAPP(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool),hAPP(hoare_1656922687triple(x_a),fun(fun(hoare_1656922687triple(x_a),bool),fun(hoare_1656922687triple(x_a),bool)),insert(hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a),hAPP(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a)),hAPP(fun(x_a,fun(state,bool)),fun(com,fun(fun(x_a,fun(state,bool)),hoare_1656922687triple(x_a))),hoare_246368825triple(x_a),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),combk(fun(state,bool),x_a),hAPP(bool,fun(state,bool),combk(bool,state),fFalse))),c),hAPP(fun(state,bool),fun(x_a,fun(state,bool)),hAPP(fun(x_a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(x_a,fun(state,bool))),combc(x_a,fun(state,bool),fun(state,bool)),hAPP(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool))),hAPP(fun(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool))),fun(fun(x_a,fun(state,fun(bool,bool))),fun(x_a,fun(fun(state,bool),fun(state,bool)))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),x_a),combs(state,bool,bool)),hAPP(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool))),hAPP(fun(fun(state,bool),fun(state,fun(bool,bool))),fun(fun(x_a,fun(state,bool)),fun(x_a,fun(state,fun(bool,bool)))),combb(fun(state,bool),fun(state,fun(bool,bool)),x_a),hAPP(fun(bool,fun(bool,bool)),fun(fun(state,bool),fun(state,fun(bool,bool))),combb(bool,fun(bool,bool),state),fconj)),p))),hAPP(fun(state,bool),fun(state,bool),hAPP(fun(bool,bool),fun(fun(state,bool),fun(state,bool)),combb(bool,bool,state),fNot),b)))),bot_bot(fun(hoare_1656922687triple(x_a),bool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2620,plain,
    ! [X2,X3,X0,X1,X4] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),X4),X2),X3)),bot_bot(fun(hoare_1656922687triple(X0),bool)))))
      | hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK80(X0,X1,X2,X3,X4)),sK81(X0,X1,X2,X3,X4))) ),
    inference(cnf_transformation,[],[f1851]) ).

fof(f1851,plain,
    ! [X0,X1,X2,X3,X4] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),X4),X2),X3)),bot_bot(fun(hoare_1656922687triple(X0),bool)))))
      | ( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),sK81(X0,X1,X2,X3,X4)))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,sK80(X0,X1,X2,X3,X4))))),bot_bot(fun(hoare_1656922687triple(X0),bool)))))
        & hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK80(X0,X1,X2,X3,X4)),sK81(X0,X1,X2,X3,X4))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK80,sK81])],[f1567,f1850]) ).

fof(f1850,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5,X6] :
          ( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,X5)))),bot_bot(fun(hoare_1656922687triple(X0),bool)))))
          & hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6)) )
     => ( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),sK81(X0,X1,X2,X3,X4)))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,sK80(X0,X1,X2,X3,X4))))),bot_bot(fun(hoare_1656922687triple(X0),bool)))))
        & hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,sK80(X0,X1,X2,X3,X4)),sK81(X0,X1,X2,X3,X4))) ) ),
    introduced(choice_axiom,[]) ).

fof(f1567,plain,
    ! [X0,X1,X2,X3,X4] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),X4),X2),X3)),bot_bot(fun(hoare_1656922687triple(X0),bool)))))
      | ? [X5,X6] :
          ( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,X5)))),bot_bot(fun(hoare_1656922687triple(X0),bool)))))
          & hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6)) ) ),
    inference(ennf_transformation,[],[f1108]) ).

fof(f1108,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5,X6] :
          ( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X4,X5),X6))
         => hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6))),X2),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X3,X5)))),bot_bot(fun(hoare_1656922687triple(X0),bool))))) )
     => hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),X4),X2),X3)),bot_bot(fun(hoare_1656922687triple(X0),bool))))) ),
    inference(rectify,[],[f74]) ).

fof(f74,axiom,
    ! [X0,X5,X16,X17,X15] :
      ( ! [X19,X20] :
          ( hBOOL(hAPP(state,bool,hAPP(X0,fun(state,bool),X15,X19),X20))
         => hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X5),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(state,fun(state,bool),hAPP(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X20))),X16),hAPP(fun(state,bool),fun(X0,fun(state,bool)),combk(fun(state,bool),X0),hAPP(X0,fun(state,bool),X17,X19)))),bot_bot(fun(hoare_1656922687triple(X0),bool))))) )
     => hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X5),hAPP(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool),hAPP(hoare_1656922687triple(X0),fun(fun(hoare_1656922687triple(X0),bool),fun(hoare_1656922687triple(X0),bool)),insert(hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),hoare_1656922687triple(X0),hAPP(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0)),hAPP(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),hoare_1656922687triple(X0))),hoare_246368825triple(X0),X15),X16),X17)),bot_bot(fun(hoare_1656922687triple(X0),bool))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW470+6 : TPTP v8.2.0. Released v5.3.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.36  % Computer : n013.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Wed Jun 19 06:19:09 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.38  Running first-order theorem proving
% 0.13/0.38  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.54  % (12124)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54  % (12129)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.23/0.54  % (12124)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54  % (12127)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.23/0.54  % (12124)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54  % (12128)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.23/0.54  % (12124)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54  % (12132)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.23/0.54  % (12124)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54  % (12130)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.23/0.54  % (12124)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54  % (12126)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.23/0.54  % (12124)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.54  % (12131)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.95/0.59  % (12130)Instruction limit reached!
% 0.95/0.59  % (12130)------------------------------
% 0.95/0.59  % (12130)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.95/0.59  % (12130)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.95/0.59  % (12130)Termination reason: Time limit
% 0.95/0.59  % (12130)Termination phase: Property scanning
% 0.95/0.59  
% 0.95/0.59  % (12130)Memory used [KB]: 2718
% 0.95/0.59  % (12130)Time elapsed: 0.050 s
% 0.95/0.59  % (12130)Instructions burned: 110 (million)
% 1.09/0.60  % (12132)Instruction limit reached!
% 1.09/0.60  % (12132)------------------------------
% 1.09/0.60  % (12132)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.09/0.60  % (12132)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.09/0.60  % (12132)Termination reason: Time limit
% 1.09/0.60  % (12132)Termination phase: Saturation
% 1.09/0.60  
% 1.09/0.60  % (12132)Memory used [KB]: 2402
% 1.09/0.60  % (12132)Time elapsed: 0.060 s
% 1.09/0.60  % (12132)Instructions burned: 124 (million)
% 1.09/0.60  % (12131)Instruction limit reached!
% 1.09/0.60  % (12131)------------------------------
% 1.09/0.60  % (12131)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.09/0.60  % (12131)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.09/0.60  % (12131)Termination reason: Time limit
% 1.09/0.60  % (12131)Termination phase: Saturation
% 1.09/0.60  
% 1.09/0.60  % (12131)Memory used [KB]: 2695
% 1.09/0.60  % (12131)Time elapsed: 0.062 s
% 1.09/0.60  % (12131)Instructions burned: 133 (million)
% 1.22/0.65  % (12124)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.65  % (12133)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 1.22/0.66  % (12124)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.66  % (12134)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 1.22/0.66  % (12124)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.66  % (12135)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 1.22/0.70  % (12133)Instruction limit reached!
% 1.22/0.70  % (12133)------------------------------
% 1.22/0.70  % (12133)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.22/0.70  % (12133)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.22/0.70  % (12133)Termination reason: Time limit
% 1.22/0.70  % (12133)Termination phase: Property scanning
% 1.22/0.70  
% 1.22/0.70  % (12133)Memory used [KB]: 2843
% 1.22/0.70  % (12133)Time elapsed: 0.053 s
% 1.22/0.70  % (12133)Instructions burned: 128 (million)
% 1.22/0.72  % (12134)Instruction limit reached!
% 1.22/0.72  % (12134)------------------------------
% 1.22/0.72  % (12134)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.22/0.72  % (12134)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.22/0.72  % (12134)Termination reason: Time limit
% 1.22/0.72  % (12134)Termination phase: Saturation
% 1.22/0.72  
% 1.22/0.72  % (12134)Memory used [KB]: 2834
% 1.22/0.72  % (12134)Time elapsed: 0.062 s
% 1.22/0.72  % (12134)Instructions burned: 146 (million)
% 1.81/0.73  % (12135)Instruction limit reached!
% 1.81/0.73  % (12135)------------------------------
% 1.81/0.73  % (12135)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.73  % (12135)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.73  % (12135)Termination reason: Time limit
% 1.81/0.73  % (12135)Termination phase: Saturation
% 1.81/0.73  
% 1.81/0.73  % (12135)Memory used [KB]: 2919
% 1.81/0.73  % (12135)Time elapsed: 0.072 s
% 1.81/0.73  % (12135)Instructions burned: 174 (million)
% 1.81/0.76  % (12124)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.76  % (12136)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2997ds/226Mi)
% 1.81/0.77  % (12124)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.77  % (12137)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2997ds/247Mi)
% 1.81/0.78  % (12124)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.78  % (12138)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2997ds/230Mi)
% 2.18/0.85  % (12136)Instruction limit reached!
% 2.18/0.85  % (12136)------------------------------
% 2.18/0.85  % (12136)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.18/0.85  % (12136)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.18/0.85  % (12136)Termination reason: Time limit
% 2.18/0.85  % (12136)Termination phase: Saturation
% 2.18/0.85  
% 2.18/0.85  % (12136)Memory used [KB]: 3326
% 2.18/0.85  % (12136)Time elapsed: 0.097 s
% 2.18/0.85  % (12136)Instructions burned: 227 (million)
% 2.65/0.88  % (12137)Instruction limit reached!
% 2.65/0.88  % (12137)------------------------------
% 2.65/0.88  % (12137)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.65/0.88  % (12137)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.65/0.88  % (12137)Termination reason: Time limit
% 2.65/0.88  % (12137)Termination phase: Saturation
% 2.65/0.88  
% 2.65/0.88  % (12137)Memory used [KB]: 3185
% 2.65/0.88  % (12137)Time elapsed: 0.132 s
% 2.65/0.88  % (12137)Instructions burned: 248 (million)
% 2.65/0.89  % (12138)Instruction limit reached!
% 2.65/0.89  % (12138)------------------------------
% 2.65/0.89  % (12138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.65/0.89  % (12138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.65/0.89  % (12138)Termination reason: Time limit
% 2.65/0.89  % (12138)Termination phase: Saturation
% 2.65/0.89  
% 2.65/0.89  % (12138)Memory used [KB]: 4026
% 2.65/0.89  % (12138)Time elapsed: 0.124 s
% 2.65/0.89  % (12138)Instructions burned: 230 (million)
% 3.08/0.91  % (12124)Running in auto input_syntax mode. Trying TPTP
% 3.08/0.91  % (12139)dis-1010_76381:524288_drc=off:sil=4000:irw=on:sp=frequency:lma=on:spb=goal:rnwc=on:gs=on:nwc=13.9901:s2agt=10:kmz=on:updr=off:sac=on:newcnf=on:gsem=on:cond=fast:s2a=on:i=231:s2at=6:kws=inv_frequency:awrs=converge:awrsf=968:bd=off:nm=10:rawr=on:sfv=off:alpa=random_0 on theBenchmark for (2996ds/231Mi)
% 3.21/0.94  % (12124)Running in auto input_syntax mode. Trying TPTP
% 3.21/0.94  % (12140)lrs+1011_1:1_sil=8000:nicw=on:i=532:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2996ds/532Mi)
% 3.21/0.94  % (12124)Running in auto input_syntax mode. Trying TPTP
% 3.21/0.94  % (12141)dis-1010_1:2_bsr=unit_only:sil=32000:tgt=full:i=1280:nm=16:bd=off_0 on theBenchmark for (2995ds/1280Mi)
% 3.21/0.97  % (12127)First to succeed.
% 3.21/0.97  % (12127)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12124"
% 3.21/0.97  % (12124)Running in auto input_syntax mode. Trying TPTP
% 3.21/0.97  % (12127)Refutation found. Thanks to Tanya!
% 3.21/0.97  % SZS status Theorem for theBenchmark
% 3.21/0.97  % SZS output start Proof for theBenchmark
% See solution above
% 3.21/0.97  % (12127)------------------------------
% 3.21/0.97  % (12127)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.21/0.97  % (12127)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.21/0.97  % (12127)Termination reason: Refutation
% 3.21/0.97  
% 3.21/0.97  % (12127)Memory used [KB]: 5926
% 3.21/0.97  % (12127)Time elapsed: 0.426 s
% 3.21/0.97  % (12127)Instructions burned: 919 (million)
% 3.21/0.97  % (12127)------------------------------
% 3.21/0.97  % (12127)------------------------------
% 3.21/0.97  % (12124)Success in time 0.493 s
%------------------------------------------------------------------------------