TSTP Solution File: SWW318+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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  : 600s
% DateTime : Thu Jul 21 00:01:59 EDT 2022

% Result   : Theorem 11.12s 3.74s
% Output   : CNFRefutation 11.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (  16 unt;   0 nHn;  13 RR)
%            Number of literals    :   28 (   5 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-2 aty)
%            Number of variables   :   34 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2306,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_2306) ).

cnf(i_0_266,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_266) ).

cnf(i_0_20,hypothesis,
    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),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_20) ).

cnf(i_0_21,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_21) ).

cnf(i_0_425,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_425) ).

cnf(i_0_104,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_104) ).

cnf(i_0_2387,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_2387) ).

cnf(c_0_2395,plain,
    hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
    i_0_2306 ).

cnf(c_0_2396,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_266 ).

cnf(c_0_2397,hypothesis,
    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),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    i_0_20 ).

cnf(c_0_2398,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_2395,c_0_2396]) ).

cnf(c_0_2399,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    i_0_21 ).

cnf(c_0_2400,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    i_0_425 ).

cnf(c_0_2401,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q))),
    inference(rw,[status(thm)],[c_0_2397,c_0_2398]) ).

cnf(c_0_2402,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q))),
    inference(rw,[status(thm)],[c_0_2399,c_0_2398]) ).

cnf(c_0_2403,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,v_G) ),
    inference(spm,[status(thm)],[c_0_2400,c_0_2401]) ).

cnf(c_0_2404,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
    i_0_104 ).

cnf(c_0_2405,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
    i_0_2387 ).

cnf(c_0_2406,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),v_G),
    inference(spm,[status(thm)],[c_0_2402,c_0_2403]) ).

cnf(c_0_2407,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),X3),X3),
    inference(spm,[status(thm)],[c_0_2404,c_0_2405]) ).

cnf(c_0_2408,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2406,c_0_2407])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 18:50:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.49  # ENIGMATIC: Selected SinE mode:
% 0.54/0.73  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.73  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.54/0.73  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.54/0.73  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.12/3.74  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.12/3.74  # No SInE strategy applied
% 11.12/3.74  # Trying AutoSched0 for 150 seconds
% 11.12/3.74  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.12/3.74  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.12/3.74  #
% 11.12/3.74  # Preprocessing time       : 0.023 s
% 11.12/3.74  # Presaturation interreduction done
% 11.12/3.74  
% 11.12/3.74  # Proof found!
% 11.12/3.74  # SZS status Theorem
% 11.12/3.74  # SZS output start CNFRefutation
% See solution above
% 11.12/3.74  # Training examples: 0 positive, 0 negative
% 11.12/3.74  
% 11.12/3.74  # -------------------------------------------------
% 11.12/3.74  # User time                : 0.027 s
% 11.12/3.74  # System time              : 0.003 s
% 11.12/3.74  # Total time               : 0.031 s
% 11.12/3.74  # Maximum resident set size: 9512 pages
% 11.12/3.74  
%------------------------------------------------------------------------------