TSTP Solution File: SWV384+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 17:47:03 EDT 2022

% Result   : Theorem 4.45s 2.21s
% Output   : CNFRefutation 4.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   41 (  12 unt;  14 nHn;  41 RR)
%            Number of literals    :  116 (   0 equ;  68 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-3 aty)
%            Number of variables   :   84 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_56,plain,
    ( check_cpq(triple(X1,X2,X3))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ check_cpq(triple(esk10_0,esk11_0,esk12_0))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_56) ).

cnf(i_0_49,negated_conjecture,
    succ_cpq(triple(esk1_0,esk2_0,esk3_0),triple(esk4_0,esk5_0,esk6_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_49) ).

cnf(i_0_48,negated_conjecture,
    ok(triple(esk4_0,esk5_0,esk6_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_48) ).

cnf(i_0_47,negated_conjecture,
    check_cpq(triple(esk4_0,esk5_0,esk6_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_47) ).

cnf(i_0_54,plain,
    ( check_cpq(triple(X1,X2,X3))
    | check_cpq(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_54) ).

cnf(i_0_52,plain,
    ( check_cpq(triple(X1,X2,X3))
    | ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_52) ).

cnf(i_0_50,negated_conjecture,
    ( ~ check_cpq(triple(esk1_0,esk2_0,esk3_0))
    | ~ ok(triple(esk1_0,esk2_0,esk3_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_50) ).

cnf(i_0_46,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_46) ).

cnf(i_0_55,plain,
    ( ok(triple(X1,X2,X3))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ check_cpq(triple(esk10_0,esk11_0,esk12_0))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_55) ).

cnf(i_0_45,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_45) ).

cnf(i_0_53,plain,
    ( ok(triple(X1,X2,X3))
    | check_cpq(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_53) ).

cnf(i_0_51,plain,
    ( ok(triple(X1,X2,X3))
    | ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d93ngyw1/lgb.p',i_0_51) ).

cnf(c_0_69,plain,
    ( check_cpq(triple(X1,X2,X3))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ check_cpq(triple(esk10_0,esk11_0,esk12_0))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_56 ).

cnf(c_0_70,negated_conjecture,
    succ_cpq(triple(esk1_0,esk2_0,esk3_0),triple(esk4_0,esk5_0,esk6_0)),
    i_0_49 ).

cnf(c_0_71,negated_conjecture,
    ok(triple(esk4_0,esk5_0,esk6_0)),
    i_0_48 ).

cnf(c_0_72,negated_conjecture,
    check_cpq(triple(esk4_0,esk5_0,esk6_0)),
    i_0_47 ).

cnf(c_0_73,plain,
    ( check_cpq(triple(X1,X2,X3))
    | check_cpq(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_54 ).

cnf(c_0_74,plain,
    ( check_cpq(triple(X1,X2,X3))
    | ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_52 ).

cnf(c_0_75,negated_conjecture,
    ( ~ check_cpq(triple(esk1_0,esk2_0,esk3_0))
    | ~ ok(triple(esk1_0,esk2_0,esk3_0)) ),
    i_0_50 ).

cnf(c_0_76,negated_conjecture,
    ( check_cpq(triple(esk1_0,esk2_0,esk3_0))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ check_cpq(triple(esk10_0,esk11_0,esk12_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72])]) ).

cnf(c_0_77,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    i_0_46 ).

cnf(c_0_78,negated_conjecture,
    ( check_cpq(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | check_cpq(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_71]),c_0_72])]) ).

cnf(c_0_79,negated_conjecture,
    ( ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | check_cpq(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_70]),c_0_71]),c_0_72])]) ).

cnf(c_0_80,plain,
    ( ok(triple(X1,X2,X3))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ check_cpq(triple(esk10_0,esk11_0,esk12_0))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_55 ).

cnf(c_0_81,negated_conjecture,
    ( ~ ok(triple(esk1_0,esk2_0,esk3_0))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ check_cpq(triple(esk10_0,esk11_0,esk12_0)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_82,lemma,
    ( check_cpq(triple(esk1_0,esk2_0,esk3_0))
    | check_cpq(triple(esk10_0,esk11_0,esk12_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

cnf(c_0_83,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    i_0_45 ).

cnf(c_0_84,negated_conjecture,
    ( ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ check_cpq(triple(esk10_0,esk11_0,esk12_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_70]),c_0_71]),c_0_72])]),c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( check_cpq(triple(esk10_0,esk11_0,esk12_0))
    | ~ ok(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_82]) ).

cnf(c_0_86,plain,
    ( ok(triple(X1,X2,X3))
    | check_cpq(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_53 ).

cnf(c_0_87,lemma,
    ( ok(triple(esk10_0,esk11_0,esk12_0))
    | check_cpq(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_78]),c_0_79]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ ok(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_89,plain,
    ( ok(triple(X1,X2,X3))
    | ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ check_cpq(triple(X4,X5,X6))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_51 ).

cnf(c_0_90,negated_conjecture,
    ( ok(triple(esk1_0,esk2_0,esk3_0))
    | check_cpq(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_70]),c_0_71]),c_0_72])]) ).

cnf(c_0_91,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_87]),c_0_88]) ).

cnf(c_0_92,negated_conjecture,
    ( ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ok(triple(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_70]),c_0_71]),c_0_72])]) ).

cnf(c_0_93,negated_conjecture,
    check_cpq(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0))),
    inference(sr,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0))),
    inference(sr,[status(thm)],[c_0_92,c_0_91]) ).

cnf(c_0_95,lemma,
    check_cpq(triple(esk10_0,esk11_0,esk12_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_93]),c_0_94])]) ).

cnf(c_0_96,negated_conjecture,
    ~ ok(triple(esk10_0,esk11_0,esk12_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_95])]) ).

cnf(c_0_97,lemma,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_93]),c_0_94])]),c_0_96]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 14 17:03:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 4.45/2.21  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.45/2.21  # No SInE strategy applied
% 4.45/2.21  # Trying AutoSched0 for 150 seconds
% 4.45/2.21  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.45/2.21  # and selection function SelectComplexExceptUniqMaxHorn.
% 4.45/2.21  #
% 4.45/2.21  # Preprocessing time       : 0.014 s
% 4.45/2.21  # Presaturation interreduction done
% 4.45/2.21  
% 4.45/2.21  # Proof found!
% 4.45/2.21  # SZS status Theorem
% 4.45/2.21  # SZS output start CNFRefutation
% See solution above
% 4.45/2.21  # Training examples: 0 positive, 0 negative
% 4.45/2.21  
% 4.45/2.21  # -------------------------------------------------
% 4.45/2.21  # User time                : 0.016 s
% 4.45/2.21  # System time              : 0.004 s
% 4.45/2.21  # Total time               : 0.020 s
% 4.45/2.21  # Maximum resident set size: 7124 pages
% 4.45/2.21  
%------------------------------------------------------------------------------