TSTP Solution File: SWW353+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW353+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n026.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 18:32:09 EDT 2024

% Result   : Theorem 0.67s 0.86s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (  18 unt;   0 def)
%            Number of atoms       :   67 (  23 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  19   ~;  15   |;   4   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  11 con; 0-3 aty)
%            Number of variables   :   90 (  90   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6203,plain,
    $false,
    inference(resolution,[],[f6151,f5924]) ).

fof(f5924,plain,
    ! [X0] : ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pname)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pname)))),X0)),
    inference(resolution,[],[f5826,f5613]) ).

fof(f5613,plain,
    ! [X2,X3,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),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)),X1),X0)) ),
    inference(cnf_transformation,[],[f5424]) ).

fof(f5424,plain,
    ! [X0,X1,X2,X3] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
        & c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),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)),X1),X0)) ),
    inference(ennf_transformation,[],[f5262]) ).

fof(f5262,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0))
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
        & c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)))) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X6,X8,X3,X4] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),X8),X6))
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,X6)
        & c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),X8),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5826,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pname)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pname)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(definition_unfolding,[],[f5592,f5733]) ).

fof(f5733,plain,
    ! [X0] : c_Hoare__Mirabelle_OMGT(X0) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),X0),c_Natural_Oevalc(X0)),
    inference(cnf_transformation,[],[f5329]) ).

fof(f5329,plain,
    ! [X0] : c_Hoare__Mirabelle_OMGT(X0) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),X0),c_Natural_Oevalc(X0)),
    inference(rectify,[],[f61]) ).

fof(f61,axiom,
    ! [X14] : c_Hoare__Mirabelle_OMGT(X14) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),X14),c_Natural_Oevalc(X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5592,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f5247]) ).

fof(f5247,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(flattening,[],[f5246]) ).

fof(f5246,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(negated_conjecture,[],[f5245]) ).

fof(f5245,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6151,plain,
    ! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,X0)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(subsumption_resolution,[],[f5827,f6013]) ).

fof(f6013,plain,
    ! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),
    inference(subsumption_resolution,[],[f5998,f5849]) ).

fof(f5849,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_Set_OCollect(X3),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3),c_fNot),hAPP(hAPP(c_COMBC(X3,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X3),c_fequal),X0)),c_Option_Ooption_ONone(X1))))))
      | hAPP(X0,X2) = c_Option_Ooption_ONone(X1) ),
    inference(definition_unfolding,[],[f5797,f5806]) ).

fof(f5806,plain,
    ! [X2,X0,X1] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
    inference(cnf_transformation,[],[f5385]) ).

fof(f5385,plain,
    ! [X0,X1,X2] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
    inference(rectify,[],[f1121]) ).

fof(f1121,axiom,
    ! [X95,X9,X4] : c_Map_Odom(X4,X9,X95) = hAPP(c_Set_OCollect(X4),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4),c_fNot),hAPP(hAPP(c_COMBC(X4,tc_Option_Ooption(X9),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X9),tc_fun(tc_Option_Ooption(X9),tc_HOL_Obool),X4),c_fequal),X95)),c_Option_Ooption_ONone(X9)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5797,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0)))
      | hAPP(X0,X2) = c_Option_Ooption_ONone(X1) ),
    inference(cnf_transformation,[],[f5585]) ).

fof(f5585,plain,
    ! [X0,X1,X2,X3] :
      ( ( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0)))
        | hAPP(X0,X2) = c_Option_Ooption_ONone(X1) )
      & ( hAPP(X0,X2) != c_Option_Ooption_ONone(X1)
        | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0))) ) ),
    inference(nnf_transformation,[],[f5377]) ).

fof(f5377,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0)))
    <=> hAPP(X0,X2) != c_Option_Ooption_ONone(X1) ),
    inference(rectify,[],[f300]) ).

fof(f300,axiom,
    ! [X95,X9,X5,X4] :
      ( hBOOL(hAPP(hAPP(c_member(X4),X5),c_Map_Odom(X4,X9,X95)))
    <=> c_Option_Ooption_ONone(X9) != hAPP(X95,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5998,plain,
    ! [X2,X0,X1] :
      ( c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(X0,X1)
      | hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(tc_Com_Ocom)))))) ),
    inference(backward_demodulation,[],[f5897,f5989]) ).

fof(f5989,plain,
    c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,v_pname),
    inference(resolution,[],[f5931,f5826]) ).

fof(f5931,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,X0)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
      | c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,X0) ),
    inference(resolution,[],[f5827,f5849]) ).

fof(f5897,plain,
    ! [X2,X0,X1] :
      ( hAPP(c_Com_Obody,v_pname) != hAPP(X0,X1)
      | hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(tc_Com_Ocom)))))) ),
    inference(superposition,[],[f5837,f5594]) ).

fof(f5594,plain,
    hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    inference(cnf_transformation,[],[f5244]) ).

fof(f5244,axiom,
    hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5837,plain,
    ! [X2,X3,X0,X1,X4] :
      ( hAPP(c_Option_Ooption_OSome(X2),X1) != hAPP(X4,X3)
      | hBOOL(hAPP(hAPP(c_member(X0),X3),hAPP(c_Set_OCollect(X0),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X0),c_fNot),hAPP(hAPP(c_COMBC(X0,tc_Option_Ooption(X2),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),X0),c_fequal),X4)),c_Option_Ooption_ONone(X2)))))) ),
    inference(definition_unfolding,[],[f5784,f5806]) ).

fof(f5784,plain,
    ! [X2,X3,X0,X1,X4] :
      ( hBOOL(hAPP(hAPP(c_member(X0),X3),c_Map_Odom(X0,X2,X4)))
      | hAPP(c_Option_Ooption_OSome(X2),X1) != hAPP(X4,X3) ),
    inference(cnf_transformation,[],[f5487]) ).

fof(f5487,plain,
    ! [X0,X1,X2,X3,X4] :
      ( hBOOL(hAPP(hAPP(c_member(X0),X3),c_Map_Odom(X0,X2,X4)))
      | hAPP(c_Option_Ooption_OSome(X2),X1) != hAPP(X4,X3) ),
    inference(ennf_transformation,[],[f5368]) ).

fof(f5368,plain,
    ! [X0,X1,X2,X3,X4] :
      ( hAPP(c_Option_Ooption_OSome(X2),X1) = hAPP(X4,X3)
     => hBOOL(hAPP(hAPP(c_member(X0),X3),c_Map_Odom(X0,X2,X4))) ),
    inference(rectify,[],[f301]) ).

fof(f301,axiom,
    ! [X9,X15,X4,X5,X95] :
      ( hAPP(X95,X5) = hAPP(c_Option_Ooption_OSome(X4),X15)
     => hBOOL(hAPP(hAPP(c_member(X9),X5),c_Map_Odom(X9,X4,X95))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5827,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))
      | c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,X0)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
    inference(definition_unfolding,[],[f5595,f5733,f5806]) ).

fof(f5595,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
    inference(cnf_transformation,[],[f5404]) ).

fof(f5404,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
    inference(ennf_transformation,[],[f5248]) ).

fof(f5248,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
     => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
    inference(rectify,[],[f5243]) ).

fof(f5243,axiom,
    ! [X2] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
     => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWW353+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.14  % Command    : run_vampire %s %d THM
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Jun 19 06:32:39 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.38  This is a FOF_CAX_RFO_SEQ problem
% 0.14/0.38  Running first-order theorem proving
% 0.14/0.38  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.73  % (16275)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.54/0.74  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.74  % (16273)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.54/0.74  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.74  % (16276)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.54/0.75  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.75  % (16270)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.54/0.75  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.75  % (16271)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=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.54/0.75  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.75  % (16272)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.54/0.76  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.76  % (16274)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.54/0.82  % (16276)Instruction limit reached!
% 0.54/0.82  % (16276)------------------------------
% 0.54/0.82  % (16276)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.54/0.82  % (16276)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.54/0.82  % (16276)Termination reason: Time limit
% 0.54/0.82  % (16276)Termination phase: Saturation
% 0.54/0.82  
% 0.54/0.82  % (16276)Memory used [KB]: 9571
% 0.54/0.82  % (16276)Time elapsed: 0.082 s
% 0.54/0.82  % (16276)Instructions burned: 282 (million)
% 0.54/0.85  % (16274)First to succeed.
% 0.54/0.85  % (16274)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16268"
% 0.67/0.86  % (16268)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.86  % (16274)Refutation found. Thanks to Tanya!
% 0.67/0.86  % SZS status Theorem for theBenchmark
% 0.67/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.86  % (16274)------------------------------
% 0.67/0.86  % (16274)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.67/0.86  % (16274)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.67/0.86  % (16274)Termination reason: Refutation
% 0.67/0.86  
% 0.67/0.86  % (16274)Memory used [KB]: 7448
% 0.67/0.86  % (16274)Time elapsed: 0.095 s
% 0.67/0.86  % (16274)Instructions burned: 177 (million)
% 0.67/0.86  % (16274)------------------------------
% 0.67/0.86  % (16274)------------------------------
% 0.67/0.86  % (16268)Success in time 0.184 s
%------------------------------------------------------------------------------