TSTP Solution File: SWW338+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW338+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 00:02:02 EDT 2022

% Result   : Theorem 12.46s 4.10s
% Output   : CNFRefutation 12.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   30 (   6 unt;   9 nHn;  19 RR)
%            Number of literals    :   65 (   0 equ;  28 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   42 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G_H))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_16) ).

cnf(i_0_21,negated_conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk4_0),v_ts)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_21) ).

cnf(i_0_15,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_15) ).

cnf(i_0_19,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_19) ).

cnf(i_0_18,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk2_1(X1))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_18) ).

cnf(i_0_1530,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_1530) ).

cnf(i_0_22,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_22) ).

cnf(i_0_1531,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_1531) ).

cnf(i_0_20,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-irjvzshr/lgb.p',i_0_20) ).

cnf(c_0_1541,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G_H))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
    i_0_16 ).

cnf(c_0_1542,negated_conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk4_0),v_ts)),
    i_0_21 ).

cnf(c_0_1543,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
    i_0_15 ).

cnf(c_0_1544,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H)) ),
    i_0_19 ).

cnf(c_0_1545,negated_conjecture,
    ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G_H))
    | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_1541,c_0_1542]) ).

cnf(c_0_1546,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk2_1(X1))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H)) ),
    i_0_18 ).

cnf(c_0_1547,plain,
    ( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    i_0_1530 ).

cnf(c_0_1548,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
    i_0_22 ).

cnf(c_0_1549,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0)
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1)) ),
    inference(spm,[status(thm)],[c_0_1543,c_0_1542]) ).

cnf(c_0_1550,hypothesis,
    ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
    | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X2))
    | c_Hoare__Mirabelle_Otriple__valid(t_a,X2,esk4_0) ),
    inference(spm,[status(thm)],[c_0_1544,c_0_1545]) ).

cnf(c_0_1551,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
    | ~ hBOOL(hAPP(v_G_H,X2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk2_1(X1)) ),
    inference(spm,[status(thm)],[c_0_1546,c_0_1547]) ).

cnf(c_0_1552,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
    | ~ hBOOL(hAPP(v_G,X1)) ),
    inference(spm,[status(thm)],[c_0_1548,c_0_1547]) ).

cnf(c_0_1553,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
    i_0_1531 ).

cnf(c_0_1554,negated_conjecture,
    ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
    | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_1549,c_0_1550]) ).

cnf(c_0_1555,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
    | ~ hBOOL(hAPP(v_G,esk2_1(esk3_0)))
    | ~ hBOOL(hAPP(v_G_H,X1)) ),
    inference(spm,[status(thm)],[c_0_1551,c_0_1552]) ).

cnf(c_0_1556,plain,
    ( hBOOL(hAPP(v_G,esk2_1(X1)))
    | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_1553,c_0_1554]) ).

cnf(c_0_1557,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,esk4_0),
    i_0_20 ).

cnf(c_0_1558,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
    | ~ hBOOL(hAPP(v_G_H,X1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1555,c_0_1556]),c_0_1557]) ).

cnf(c_0_1559,negated_conjecture,
    ~ hBOOL(hAPP(v_G_H,esk1_1(esk3_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1549,c_0_1558]),c_0_1557]) ).

cnf(c_0_1560,plain,
    ( hBOOL(hAPP(v_G_H,esk1_1(X1)))
    | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_1553,c_0_1545]) ).

cnf(c_0_1561,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1559,c_0_1560]),c_0_1557]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWW338+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun  5 21:43:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.50  # ENIGMATIC: Selected SinE mode:
% 0.54/0.74  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.54/0.74  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.54/0.74  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.46/4.10  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.46/4.10  # No SInE strategy applied
% 12.46/4.10  # Trying AutoSched0 for 150 seconds
% 12.46/4.10  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.46/4.10  # and selection function SelectComplexExceptUniqMaxHorn.
% 12.46/4.10  #
% 12.46/4.10  # Preprocessing time       : 0.026 s
% 12.46/4.10  # Presaturation interreduction done
% 12.46/4.10  
% 12.46/4.10  # Proof found!
% 12.46/4.10  # SZS status Theorem
% 12.46/4.10  # SZS output start CNFRefutation
% See solution above
% 12.46/4.10  # Training examples: 0 positive, 0 negative
% 12.46/4.10  
% 12.46/4.10  # -------------------------------------------------
% 12.46/4.10  # User time                : 0.292 s
% 12.46/4.10  # System time              : 0.017 s
% 12.46/4.10  # Total time               : 0.309 s
% 12.46/4.10  # Maximum resident set size: 9576 pages
% 12.46/4.10  
%------------------------------------------------------------------------------