TSTP Solution File: SWW382+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWW382+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:09:16 EDT 2023

% Result   : Theorem 5.96s 3.77s
% Output   : CNFRefutation 5.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   46 (  30 unt;   0 def)
%            Number of atoms       :   75 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   56 (  27   ~;  22   |;   0   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  12 con; 0-3 aty)
%            Number of variables   :   68 (   5 sgn;  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_image__image,axiom,
    ! [X15,X1,X22,X2,X5,X13] : hAPP(c_Set_Oimage(X13,X5,X2),hAPP(c_Set_Oimage(X22,X13,X1),X15)) = hAPP(c_Set_Oimage(X22,X5,hAPP(hAPP(c_COMBB(X13,X5,X22),X2),X1)),X15),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',fact_image__image) ).

fof(fact_singleton__conv2,axiom,
    ! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',fact_singleton__conv2) ).

fof(fact_Collect__def,axiom,
    ! [X33,X5] : hAPP(c_Set_OCollect(X5),X33) = X33,
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',fact_Collect__def) ).

fof(fact_cut,axiom,
    ! [X4,X7,X9,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X9,X7)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X9)
       => c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',fact_cut) ).

fof(conj_6,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),v_F),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',conj_6) ).

fof(conj_7,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',conj_7) ).

fof(fact_WT__bodiesD,axiom,
    ! [X42,X49] :
      ( c_Com_OWT__bodies
     => ( hAPP(c_Com_Obody,X49) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X42)
       => hBOOL(hAPP(c_Com_OWT,X42)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',fact_WT__bodiesD) ).

fof(fact_empty,axiom,
    ! [X4,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',fact_empty) ).

fof(fact_MGF,axiom,
    ! [X18] :
      ( c_Hoare__Mirabelle_Ostate__not__singleton
     => ( c_Com_OWT__bodies
       => ( hBOOL(hAPP(c_Com_OWT,X18))
         => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X18)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',fact_MGF) ).

fof(conj_1,hypothesis,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',conj_1) ).

fof(conj_0,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',conj_0) ).

fof(conj_5,hypothesis,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    file('/export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p',conj_5) ).

fof(c_0_12,plain,
    ! [X581,X582,X583,X584,X585,X586] : hAPP(c_Set_Oimage(X586,X585,X584),hAPP(c_Set_Oimage(X583,X586,X582),X581)) = hAPP(c_Set_Oimage(X583,X585,hAPP(hAPP(c_COMBB(X586,X585,X583),X584),X582)),X581),
    inference(variable_rename,[status(thm)],[fact_image__image]) ).

fof(c_0_13,plain,
    ! [X1872,X1873] : hAPP(c_Set_OCollect(X1873),hAPP(c_fequal,X1872)) = hAPP(hAPP(c_Set_Oinsert(X1873),X1872),c_Orderings_Obot__class_Obot(tc_fun(X1873,tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).

fof(c_0_14,plain,
    ! [X2287,X2288] : hAPP(c_Set_OCollect(X2288),X2287) = X2287,
    inference(variable_rename,[status(thm)],[fact_Collect__def]) ).

fof(c_0_15,plain,
    ! [X858,X859,X860,X861] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X861,X860,X859)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X861,X858,X860)
      | c_Hoare__Mirabelle_Ohoare__derivs(X861,X858,X859) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])]) ).

cnf(c_0_16,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),v_F),
    inference(split_conjunct,[status(thm)],[conj_6]) ).

cnf(c_0_17,plain,
    hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X1,X5),X6)) = hAPP(c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5)),X6),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).

cnf(c_0_19,plain,
    hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),v_F),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_23,plain,
    ! [X327,X328] :
      ( ~ c_Com_OWT__bodies
      | hAPP(c_Com_Obody,X328) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X327)
      | hBOOL(hAPP(c_Com_OWT,X327)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT__bodiesD])]) ).

cnf(c_0_24,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_F,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_27,plain,
    ! [X390,X391] : c_Hoare__Mirabelle_Ohoare__derivs(X391,X390,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X391),tc_HOL_Obool))),
    inference(variable_rename,[status(thm)],[fact_empty]) ).

fof(c_0_28,plain,
    ! [X323] :
      ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
      | ~ c_Com_OWT__bodies
      | ~ hBOOL(hAPP(c_Com_OWT,X323))
      | c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X323)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_MGF])]) ).

cnf(c_0_29,plain,
    ( hBOOL(hAPP(c_Com_OWT,X2))
    | ~ c_Com_OWT__bodies
    | hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,hypothesis,
    c_Com_OWT__bodies,
    inference(split_conjunct,[status(thm)],[conj_1]) ).

cnf(c_0_31,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_F,X2)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X2,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_26]) ).

cnf(c_0_33,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ~ c_Com_OWT__bodies
    | ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,hypothesis,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_36,plain,
    ( hBOOL(hAPP(c_Com_OWT,X1))
    | hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_37,hypothesis,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    inference(split_conjunct,[status(thm)],[conj_5]) ).

cnf(c_0_38,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
    inference(rw,[status(thm)],[c_0_31,c_0_17]) ).

cnf(c_0_39,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),X1)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
    | ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_30])]) ).

cnf(c_0_41,hypothesis,
    ( hBOOL(hAPP(c_Com_OWT,v_y))
    | hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X1)))
    | ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
    inference(rw,[status(thm)],[c_0_40,c_0_25]) ).

cnf(c_0_44,hypothesis,
    hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 1.21/1.23  % Problem    : SWW382+1 : TPTP v8.1.2. Released v5.2.0.
% 1.23/1.24  % Command    : run_E %s %d THM
% 1.23/1.45  % Computer : n019.cluster.edu
% 1.23/1.45  % Model    : x86_64 x86_64
% 1.23/1.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.23/1.45  % Memory   : 8042.1875MB
% 1.23/1.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 1.23/1.45  % CPULimit   : 2400
% 1.23/1.45  % WCLimit    : 300
% 1.23/1.45  % DateTime   : Mon Oct  2 22:23:07 EDT 2023
% 1.23/1.45  % CPUTime    : 
% 2.42/2.65  Running first-order theorem proving
% 2.42/2.65  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.gEVmKW8Rjb/E---3.1_29827.p
% 5.96/3.77  # Version: 3.1pre001
% 5.96/3.77  # Preprocessing class: FMLMSLSMSSSNFFN.
% 5.96/3.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.96/3.77  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 5.96/3.77  # Starting new_bool_3 with 300s (1) cores
% 5.96/3.77  # Starting new_bool_1 with 300s (1) cores
% 5.96/3.77  # Starting sh5l with 300s (1) cores
% 5.96/3.77  # new_bool_1 with pid 29907 completed with status 0
% 5.96/3.77  # Result found by new_bool_1
% 5.96/3.77  # Preprocessing class: FMLMSLSMSSSNFFN.
% 5.96/3.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.96/3.77  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 5.96/3.77  # Starting new_bool_3 with 300s (1) cores
% 5.96/3.77  # Starting new_bool_1 with 300s (1) cores
% 5.96/3.77  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.96/3.77  # Search class: FGHSM-SMLM33-DFFFFFNN
% 5.96/3.77  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.96/3.77  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 5.96/3.77  # SAT001_MinMin_p005000_rr with pid 29909 completed with status 0
% 5.96/3.77  # Result found by SAT001_MinMin_p005000_rr
% 5.96/3.77  # Preprocessing class: FMLMSLSMSSSNFFN.
% 5.96/3.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.96/3.77  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 5.96/3.77  # Starting new_bool_3 with 300s (1) cores
% 5.96/3.77  # Starting new_bool_1 with 300s (1) cores
% 5.96/3.77  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.96/3.77  # Search class: FGHSM-SMLM33-DFFFFFNN
% 5.96/3.77  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.96/3.77  # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 5.96/3.77  # Preprocessing time       : 0.046 s
% 5.96/3.77  # Presaturation interreduction done
% 5.96/3.77  
% 5.96/3.77  # Proof found!
% 5.96/3.77  # SZS status Theorem
% 5.96/3.77  # SZS output start CNFRefutation
% See solution above
% 5.96/3.77  # Parsed axioms                        : 5250
% 5.96/3.77  # Removed by relevancy pruning/SinE    : 3248
% 5.96/3.77  # Initial clauses                      : 3053
% 5.96/3.77  # Removed in clause preprocessing      : 86
% 5.96/3.77  # Initial clauses in saturation        : 2967
% 5.96/3.77  # Processed clauses                    : 3492
% 5.96/3.77  # ...of these trivial                  : 121
% 5.96/3.77  # ...subsumed                          : 517
% 5.96/3.77  # ...remaining for further processing  : 2854
% 5.96/3.77  # Other redundant clauses eliminated   : 290
% 5.96/3.77  # Clauses deleted for lack of memory   : 0
% 5.96/3.77  # Backward-subsumed                    : 4
% 5.96/3.77  # Backward-rewritten                   : 71
% 5.96/3.77  # Generated clauses                    : 499
% 5.96/3.77  # ...of the previous two non-redundant : 381
% 5.96/3.77  # ...aggressively subsumed             : 0
% 5.96/3.77  # Contextual simplify-reflections      : 9
% 5.96/3.77  # Paramodulations                      : 224
% 5.96/3.77  # Factorizations                       : 0
% 5.96/3.77  # NegExts                              : 0
% 5.96/3.77  # Equation resolutions                 : 310
% 5.96/3.77  # Total rewrite steps                  : 2583
% 5.96/3.77  # Propositional unsat checks           : 0
% 5.96/3.77  #    Propositional check models        : 0
% 5.96/3.77  #    Propositional check unsatisfiable : 0
% 5.96/3.77  #    Propositional clauses             : 0
% 5.96/3.77  #    Propositional clauses after purity: 0
% 5.96/3.77  #    Propositional unsat core size     : 0
% 5.96/3.77  #    Propositional preprocessing time  : 0.000
% 5.96/3.77  #    Propositional encoding time       : 0.000
% 5.96/3.77  #    Propositional solver time         : 0.000
% 5.96/3.77  #    Success case prop preproc time    : 0.000
% 5.96/3.77  #    Success case prop encoding time   : 0.000
% 5.96/3.77  #    Success case prop solver time     : 0.000
% 5.96/3.77  # Current number of processed clauses  : 309
% 5.96/3.77  #    Positive orientable unit clauses  : 137
% 5.96/3.77  #    Positive unorientable unit clauses: 1
% 5.96/3.77  #    Negative unit clauses             : 65
% 5.96/3.77  #    Non-unit-clauses                  : 106
% 5.96/3.77  # Current number of unprocessed clauses: 2073
% 5.96/3.77  # ...number of literals in the above   : 4936
% 5.96/3.77  # Current number of archived formulas  : 0
% 5.96/3.77  # Current number of archived clauses   : 2293
% 5.96/3.77  # Clause-clause subsumption calls (NU) : 417801
% 5.96/3.77  # Rec. Clause-clause subsumption calls : 214892
% 5.96/3.77  # Non-unit clause-clause subsumptions  : 449
% 5.96/3.77  # Unit Clause-clause subsumption calls : 2565
% 5.96/3.77  # Rewrite failures with RHS unbound    : 89
% 5.96/3.77  # BW rewrite match attempts            : 7026
% 5.96/3.77  # BW rewrite match successes           : 252
% 5.96/3.77  # Condensation attempts                : 0
% 5.96/3.77  # Condensation successes               : 0
% 5.96/3.77  # Termbank termtop insertions          : 479322
% 5.96/3.77  
% 5.96/3.77  # -------------------------------------------------
% 5.96/3.77  # User time                : 0.811 s
% 5.96/3.77  # System time              : 0.029 s
% 5.96/3.77  # Total time               : 0.840 s
% 5.96/3.77  # Maximum resident set size: 17956 pages
% 5.96/3.77  
% 5.96/3.77  # -------------------------------------------------
% 5.96/3.77  # User time                : 1.057 s
% 5.96/3.77  # System time              : 0.036 s
% 5.96/3.77  # Total time               : 1.093 s
% 5.96/3.77  # Maximum resident set size: 9504 pages
% 5.96/3.77  % E---3.1 exiting
% 5.96/3.77  % E---3.1 exiting
%------------------------------------------------------------------------------