TSTP Solution File: SWW390+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW390+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 00:02:10 EDT 2022

% Result   : Theorem 9.01s 3.53s
% Output   : CNFRefutation 9.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   4 RR)
%            Number of literals    :   12 (   5 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   28 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2311,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-wgp54mnp/lgb.p',i_0_2311) ).

cnf(i_0_279,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wgp54mnp/lgb.p',i_0_279) ).

cnf(i_0_20,negated_conjecture,
    ~ 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),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wgp54mnp/lgb.p',i_0_20) ).

cnf(i_0_639,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wgp54mnp/lgb.p',i_0_639) ).

cnf(c_0_2316,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_2311 ).

cnf(c_0_2317,plain,
    hAPP(c_Set_OCollect(X1),X2) = X2,
    i_0_279 ).

cnf(c_0_2318,negated_conjecture,
    ~ 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),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    i_0_20 ).

cnf(c_0_2319,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_2316,c_0_2317]) ).

cnf(c_0_2320,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
    i_0_639 ).

cnf(c_0_2321,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2))),
    inference(rw,[status(thm)],[c_0_2318,c_0_2319]) ).

cnf(c_0_2322,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X3),X4))),
    inference(rw,[status(thm)],[c_0_2320,c_0_2319]) ).

cnf(c_0_2323,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_2321,c_0_2322]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW390+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n022.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 03:31:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.49  # ENIGMATIC: Selected SinE mode:
% 0.50/0.72  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.72  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.50/0.72  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.50/0.72  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.01/3.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.01/3.53  # No SInE strategy applied
% 9.01/3.53  # Trying AutoSched0 for 150 seconds
% 9.01/3.53  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.01/3.53  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.01/3.53  #
% 9.01/3.53  # Preprocessing time       : 0.022 s
% 9.01/3.53  # Presaturation interreduction done
% 9.01/3.53  
% 9.01/3.53  # Proof found!
% 9.01/3.53  # SZS status Theorem
% 9.01/3.53  # SZS output start CNFRefutation
% See solution above
% 9.01/3.53  # Training examples: 0 positive, 0 negative
% 9.01/3.53  
% 9.01/3.53  # -------------------------------------------------
% 9.01/3.53  # User time                : 0.029 s
% 9.01/3.53  # System time              : 0.001 s
% 9.01/3.53  # Total time               : 0.030 s
% 9.01/3.53  # Maximum resident set size: 9528 pages
% 9.01/3.53  
%------------------------------------------------------------------------------