TSTP Solution File: SWW389+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW389+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% 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 : Fri Sep  1 01:01:11 EDT 2023

% Result   : Theorem 8.65s 2.44s
% Output   : Refutation 8.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  24 unt;   0 def)
%            Number of atoms       :   65 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   48 (  22   ~;  13   |;   4   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   8 con; 0-5 aty)
%            Number of variables   :   98 (;  94   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25455,plain,
    $false,
    inference(subsumption_resolution,[],[f25454,f16404]) ).

fof(f16404,plain,
    ~ hBOOL(c_fFalse),
    inference(cnf_transformation,[],[f5228]) ).

fof(f5228,axiom,
    ~ hBOOL(c_fFalse),
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',help_c__fFalse__1) ).

fof(f25454,plain,
    hBOOL(c_fFalse),
    inference(forward_demodulation,[],[f25453,f20896]) ).

fof(f20896,plain,
    ! [X2,X3,X0,X1] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
    inference(cnf_transformation,[],[f8220]) ).

fof(f8220,plain,
    ! [X0,X1,X2,X3] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
    inference(rectify,[],[f5222]) ).

fof(f5222,axiom,
    ! [X314,X313,X4,X61] : hAPP(hAPP(c_COMBK(X61,X4),X313),X314) = X313,
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',help_c__COMBK__1) ).

fof(f25453,plain,
    hBOOL(hAPP(hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse),sK440(v_Q,v_c,v_G,t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))))),
    inference(forward_demodulation,[],[f25422,f20896]) ).

fof(f25422,plain,
    hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)),sK439(v_Q,v_c,v_G,t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse)))),sK440(v_Q,v_c,v_G,t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))))),
    inference(resolution,[],[f24228,f17352]) ).

fof(f17352,plain,
    ! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X0)),
    inference(cnf_transformation,[],[f5776]) ).

fof(f5776,plain,
    ! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X0)),
    inference(rectify,[],[f281]) ).

fof(f281,axiom,
    ! [X18,X4] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),X18),X18)),
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',fact_subset__refl) ).

fof(f24228,plain,
    ! [X11,X12,X13] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q))),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X11),X12),X13))))
      | hBOOL(hAPP(hAPP(X11,sK439(X13,X12,v_G,t_a,X11)),sK440(X13,X12,v_G,t_a,X11))) ),
    inference(forward_demodulation,[],[f24227,f17285]) ).

fof(f17285,plain,
    ! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
    inference(cnf_transformation,[],[f5709]) ).

fof(f5709,plain,
    ! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X23,X4] : hAPP(c_Set_OCollect(X4),X23) = X23,
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',fact_Collect__def) ).

fof(f24227,plain,
    ! [X11,X12,X13] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q))),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X11),X12),X13)))))
      | hBOOL(hAPP(hAPP(X11,sK439(X13,X12,v_G,t_a,X11)),sK440(X13,X12,v_G,t_a,X11))) ),
    inference(forward_demodulation,[],[f24197,f17492]) ).

fof(f17492,plain,
    ! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X0)),
    inference(cnf_transformation,[],[f5916]) ).

fof(f5916,plain,
    ! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X0)),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X5,X4] : hAPP(hAPP(c_Set_Oinsert(X4),X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X4),hAPP(c_fequal,X5)),
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',fact_singleton__conv2) ).

fof(f24197,plain,
    ! [X11,X12,X13] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X11),X12),X13)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
      | hBOOL(hAPP(hAPP(X11,sK439(X13,X12,v_G,t_a,X11)),sK440(X13,X12,v_G,t_a,X11))) ),
    inference(resolution,[],[f24169,f22815]) ).

fof(f22815,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
      | hBOOL(hAPP(hAPP(X4,sK439(X0,X1,X2,X3,X4)),sK440(X0,X1,X2,X3,X4))) ),
    inference(cnf_transformation,[],[f16127]) ).

fof(f16127,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
      | ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK440(X0,X1,X2,X3,X4)))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,sK439(X0,X1,X2,X3,X4))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
        & hBOOL(hAPP(hAPP(X4,sK439(X0,X1,X2,X3,X4)),sK440(X0,X1,X2,X3,X4))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK439,sK440])],[f13958,f16126]) ).

fof(f16126,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5,X6] :
          ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
          & hBOOL(hAPP(hAPP(X4,X5),X6)) )
     => ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sK440(X0,X1,X2,X3,X4)))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,sK439(X0,X1,X2,X3,X4))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
        & hBOOL(hAPP(hAPP(X4,sK439(X0,X1,X2,X3,X4)),sK440(X0,X1,X2,X3,X4))) ) ),
    introduced(choice_axiom,[]) ).

fof(f13958,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
      | ? [X5,X6] :
          ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
          & hBOOL(hAPP(hAPP(X4,X5),X6)) ) ),
    inference(ennf_transformation,[],[f9691]) ).

fof(f9691,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5,X6] :
          ( hBOOL(hAPP(hAPP(X4,X5),X6))
         => c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X6))),X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X3),hAPP(X0,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) )
     => c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X22,X20,X3,X4,X23] :
      ( ! [X24,X25] :
          ( hBOOL(hAPP(hAPP(X23,X24),X25))
         => c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X4),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X25))),X20),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X4),hAPP(X22,X24)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) )
     => c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X23),X20),X22)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',fact_escape) ).

fof(f24169,plain,
    ! [X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X1)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q))),X1)) ),
    inference(resolution,[],[f24167,f21535]) ).

fof(f21535,plain,
    ! [X2,X3,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(cnf_transformation,[],[f13043]) ).

fof(f13043,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(flattening,[],[f13042]) ).

fof(f13042,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(ennf_transformation,[],[f8804]) ).

fof(f8804,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
     => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
       => c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) ) ),
    inference(rectify,[],[f427]) ).

fof(f427,axiom,
    ! [X12,X85,X3,X4] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,X85)
     => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)),X12),X85))
       => c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',fact_weaken) ).

fof(f24167,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q))),
    inference(forward_demodulation,[],[f24166,f17285]) ).

fof(f24166,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)))),
    inference(forward_demodulation,[],[f16403,f17492]) ).

fof(f16403,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f5243]) ).

fof(f5243,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(flattening,[],[f5242]) ).

fof(f5242,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(negated_conjecture,[],[f5241]) ).

fof(f5241,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.86/0.87  % Problem    : SWW389+1 : TPTP v8.1.2. Released v5.2.0.
% 0.86/0.88  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.88/1.09  % Computer : n013.cluster.edu
% 0.88/1.09  % Model    : x86_64 x86_64
% 0.88/1.09  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.88/1.09  % Memory   : 8042.1875MB
% 0.88/1.09  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.88/1.09  % CPULimit   : 300
% 0.88/1.09  % WCLimit    : 300
% 0.88/1.09  % DateTime   : Sun Aug 27 21:35:02 EDT 2023
% 0.88/1.09  % CPUTime    : 
% 0.88/1.09  This is a FOF_CAX_RFO_SEQ problem
% 0.88/1.10  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.10g7l4KOEY/Vampire---4.8_28698
% 0.88/1.10  % (28829)Running in auto input_syntax mode. Trying TPTP
% 0.95/1.36  % (28836)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.95/1.39  % (28835)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.95/1.39  % (28830)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.95/1.39  % (28834)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.95/1.40  % (28832)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 0.95/1.40  % (28833)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.95/1.41  % (28831)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 8.65/2.44  % (28830)First to succeed.
% 8.65/2.44  % (28830)Refutation found. Thanks to Tanya!
% 8.65/2.44  % SZS status Theorem for Vampire---4
% 8.65/2.44  % SZS output start Proof for Vampire---4
% See solution above
% 8.65/2.45  % (28830)------------------------------
% 8.65/2.45  % (28830)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.65/2.45  % (28830)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.65/2.45  % (28830)Termination reason: Refutation
% 8.65/2.45  
% 8.65/2.45  % (28830)Memory used [KB]: 27376
% 8.65/2.45  % (28830)Time elapsed: 1.052 s
% 8.65/2.45  % (28830)------------------------------
% 8.65/2.45  % (28830)------------------------------
% 8.65/2.45  % (28829)Success in time 1.339 s
% 8.65/2.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------