TSTP Solution File: SWW299+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW299+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 00:01:56 EDT 2022

% Result   : Theorem 11.62s 3.85s
% Output   : CNFRefutation 11.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  11 unt;   2 nHn;  17 RR)
%            Number of literals    :   45 (   5 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   9 con; 0-4 aty)
%            Number of variables   :   41 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2436,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-szeqpisf/lgb.p',i_0_2436) ).

cnf(i_0_358,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-szeqpisf/lgb.p',i_0_358) ).

cnf(i_0_36,negated_conjecture,
    ( hBOOL(hAPP(hAPP(X1,X2),esk4_2(X3,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),esk3_0))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X3,v_c,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-szeqpisf/lgb.p',i_0_36) ).

cnf(i_0_32,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P_H,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-szeqpisf/lgb.p',i_0_32) ).

cnf(i_0_33,hypothesis,
    ( v_Q(X1,X2)
    | ~ v_P(X1,X3)
    | ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_3(X1,X3,X2)),X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-szeqpisf/lgb.p',i_0_33) ).

cnf(i_0_35,negated_conjecture,
    ( ~ v_Q(esk2_0,esk4_2(X1,X2))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-szeqpisf/lgb.p',i_0_35) ).

cnf(i_0_34,hypothesis,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(v_P_H,esk1_3(X1,X3,X2)),X3))
    | ~ v_P(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-szeqpisf/lgb.p',i_0_34) ).

cnf(i_0_37,negated_conjecture,
    v_P(esk2_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-szeqpisf/lgb.p',i_0_37) ).

cnf(c_0_2445,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_2436 ).

cnf(c_0_2446,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_358 ).

cnf(c_0_2447,negated_conjecture,
    ( hBOOL(hAPP(hAPP(X1,X2),esk4_2(X3,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),esk3_0))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X3,v_c,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    i_0_36 ).

cnf(c_0_2448,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_2445,c_0_2446]) ).

cnf(c_0_2449,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P_H,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    i_0_32 ).

cnf(c_0_2450,negated_conjecture,
    ( hBOOL(hAPP(hAPP(X1,X2),esk4_2(X3,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),esk3_0))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X3,v_c,X1))) ),
    inference(rw,[status(thm)],[c_0_2447,c_0_2448]) ).

cnf(c_0_2451,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P_H,v_c,v_Q_H))),
    inference(rw,[status(thm)],[c_0_2449,c_0_2448]) ).

cnf(c_0_2452,hypothesis,
    ( v_Q(X1,X2)
    | ~ v_P(X1,X3)
    | ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_3(X1,X3,X2)),X2)) ),
    i_0_33 ).

cnf(c_0_2453,hypothesis,
    ( hBOOL(hAPP(hAPP(v_Q_H,X1),esk4_2(v_P_H,v_Q_H)))
    | ~ hBOOL(hAPP(hAPP(v_P_H,X1),esk3_0)) ),
    inference(spm,[status(thm)],[c_0_2450,c_0_2451]) ).

cnf(c_0_2454,negated_conjecture,
    ( ~ v_Q(esk2_0,esk4_2(X1,X2))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    i_0_35 ).

cnf(c_0_2455,hypothesis,
    ( v_Q(X1,esk4_2(v_P_H,v_Q_H))
    | ~ v_P(X1,X2)
    | ~ hBOOL(hAPP(hAPP(v_P_H,esk1_3(X1,X2,esk4_2(v_P_H,v_Q_H))),esk3_0)) ),
    inference(spm,[status(thm)],[c_0_2452,c_0_2453]) ).

cnf(c_0_2456,hypothesis,
    ( v_Q(X1,X2)
    | hBOOL(hAPP(hAPP(v_P_H,esk1_3(X1,X3,X2)),X3))
    | ~ v_P(X1,X3) ),
    i_0_34 ).

cnf(c_0_2457,negated_conjecture,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2)))
    | ~ v_Q(esk2_0,esk4_2(X1,X2)) ),
    inference(rw,[status(thm)],[c_0_2454,c_0_2448]) ).

cnf(c_0_2458,hypothesis,
    ( v_Q(X1,esk4_2(v_P_H,v_Q_H))
    | ~ v_P(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_2455,c_0_2456]) ).

cnf(c_0_2459,negated_conjecture,
    v_P(esk2_0,esk3_0),
    i_0_37 ).

cnf(c_0_2460,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2457,c_0_2458]),c_0_2451]),c_0_2459])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW299+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n020.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 : Sat Jun  4 22:00:54 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.49  # ENIGMATIC: Selected SinE mode:
% 0.45/0.72  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.72  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.72  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.72  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.62/3.85  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.62/3.85  # No SInE strategy applied
% 11.62/3.85  # Trying AutoSched0 for 150 seconds
% 11.62/3.85  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 11.62/3.85  # and selection function SelectMaxLComplexAvoidPosPred.
% 11.62/3.85  #
% 11.62/3.85  # Preprocessing time       : 0.062 s
% 11.62/3.85  
% 11.62/3.85  # Proof found!
% 11.62/3.85  # SZS status Theorem
% 11.62/3.85  # SZS output start CNFRefutation
% See solution above
% 11.62/3.85  # Training examples: 0 positive, 0 negative
% 11.62/3.85  
% 11.62/3.85  # -------------------------------------------------
% 11.62/3.85  # User time                : 0.333 s
% 11.62/3.85  # System time              : 0.011 s
% 11.62/3.85  # Total time               : 0.344 s
% 11.62/3.85  # Maximum resident set size: 9520 pages
% 11.62/3.85  
%------------------------------------------------------------------------------