TSTP Solution File: SWW323+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW323+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

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

% Result   : Theorem 8.87s 3.70s
% Output   : CNFRefutation 8.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (  12 unt;   0 nHn;  10 RR)
%            Number of literals    :   18 (   5 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2457,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/sandbox/tmp/enigma-theBenchmark.p-cvz37tn8/lgb.p',i_0_2457) ).

cnf(i_0_361,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvz37tn8/lgb.p',i_0_361) ).

cnf(i_0_26,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool))))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvz37tn8/lgb.p',i_0_26) ).

cnf(i_0_31,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvz37tn8/lgb.p',i_0_31) ).

cnf(i_0_32,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvz37tn8/lgb.p',i_0_32) ).

cnf(c_0_2463,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_2457 ).

cnf(c_0_2464,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_361 ).

cnf(c_0_2465,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool))))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))) ),
    i_0_26 ).

cnf(c_0_2466,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_2463,c_0_2464]) ).

cnf(c_0_2467,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    i_0_31 ).

cnf(c_0_2468,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    i_0_32 ).

cnf(c_0_2469,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1))))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1)))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2465,c_0_2466]),c_0_2466]) ).

cnf(c_0_2470,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)))),
    inference(rw,[status(thm)],[c_0_2467,c_0_2466]) ).

cnf(c_0_2471,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)))),
    inference(rw,[status(thm)],[c_0_2468,c_0_2466]) ).

cnf(c_0_2472,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2469,c_0_2470]),c_0_2471]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW323+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun  5 18:07:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.48  # ENIGMATIC: Selected SinE mode:
% 0.51/0.73  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.73  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.51/0.73  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.51/0.73  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.87/3.70  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.87/3.70  # No SInE strategy applied
% 8.87/3.70  # Trying AutoSched0 for 150 seconds
% 8.87/3.70  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.87/3.70  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.87/3.70  #
% 8.87/3.70  # Preprocessing time       : 0.023 s
% 8.87/3.70  # Presaturation interreduction done
% 8.87/3.70  
% 8.87/3.70  # Proof found!
% 8.87/3.70  # SZS status Theorem
% 8.87/3.70  # SZS output start CNFRefutation
% See solution above
% 8.87/3.70  # Training examples: 0 positive, 0 negative
% 8.87/3.70  
% 8.87/3.70  # -------------------------------------------------
% 8.87/3.70  # User time                : 0.025 s
% 8.87/3.70  # System time              : 0.008 s
% 8.87/3.70  # Total time               : 0.033 s
% 8.87/3.70  # Maximum resident set size: 9576 pages
% 8.87/3.70  
%------------------------------------------------------------------------------