TSTP Solution File: NUM466+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM466+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 : Mon Jul 18 08:36:18 EDT 2022

% Result   : Theorem 14.45s 3.10s
% Output   : CNFRefutation 14.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   29 (  13 unt;   0 nHn;  29 RR)
%            Number of literals    :   83 (   7 equ;  56 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   39 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_50) ).

cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_6) ).

cnf(i_0_51,plain,
    ( sdtasdt0(X1,esk2_2(X1,X2)) = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_51) ).

cnf(i_0_12,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_12) ).

cnf(i_0_52,plain,
    ( aNaturalNumber0(esk2_2(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_52) ).

cnf(i_0_60,negated_conjecture,
    doDivides0(xm,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_60) ).

cnf(i_0_56,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_56) ).

cnf(i_0_57,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_57) ).

cnf(i_0_59,negated_conjecture,
    ~ doDivides0(xl,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_59) ).

cnf(i_0_61,negated_conjecture,
    doDivides0(xl,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_61) ).

cnf(i_0_58,hypothesis,
    aNaturalNumber0(xl),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-palqftcx/input.p',i_0_58) ).

cnf(c_0_73,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_74,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_75,plain,
    ( sdtasdt0(X1,esk2_2(X1,X2)) = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    i_0_51 ).

cnf(c_0_76,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_12 ).

cnf(c_0_77,plain,
    ( aNaturalNumber0(esk2_2(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2) ),
    i_0_52 ).

cnf(c_0_78,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_73]),c_0_74]) ).

cnf(c_0_79,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,esk2_2(sdtasdt0(X1,X2),X3))) = X3
    | ~ doDivides0(sdtasdt0(X1,X2),X3)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_74]) ).

cnf(c_0_80,plain,
    ( doDivides0(X1,X2)
    | ~ doDivides0(sdtasdt0(X1,X3),X2)
    | ~ aNaturalNumber0(sdtasdt0(X3,esk2_2(sdtasdt0(X1,X3),X2)))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_81,plain,
    ( doDivides0(X1,X2)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3)
    | ~ aNaturalNumber0(sdtasdt0(esk2_2(X1,X3),esk2_2(X3,X2)))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_75]),c_0_77]) ).

cnf(c_0_82,plain,
    ( doDivides0(X1,X2)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_74]),c_0_77]),c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    doDivides0(xm,xn),
    i_0_60 ).

cnf(c_0_84,hypothesis,
    aNaturalNumber0(xn),
    i_0_56 ).

cnf(c_0_85,hypothesis,
    aNaturalNumber0(xm),
    i_0_57 ).

cnf(c_0_86,negated_conjecture,
    ~ doDivides0(xl,xn),
    i_0_59 ).

cnf(c_0_87,negated_conjecture,
    ( doDivides0(X1,xn)
    | ~ doDivides0(X1,xm)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85])]) ).

cnf(c_0_88,negated_conjecture,
    doDivides0(xl,xm),
    i_0_61 ).

cnf(c_0_89,hypothesis,
    aNaturalNumber0(xl),
    i_0_58 ).

cnf(c_0_90,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM466+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jul  7 00:25:09 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 14.45/3.10  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.45/3.10  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 14.45/3.10  # Preprocessing time       : 0.862 s
% 14.45/3.10  
% 14.45/3.10  # Proof found!
% 14.45/3.10  # SZS status Theorem
% 14.45/3.10  # SZS output start CNFRefutation
% See solution above
% 14.45/3.10  # Training examples: 0 positive, 0 negative
% 14.45/3.10  
% 14.45/3.10  # -------------------------------------------------
% 14.45/3.10  # User time                : 0.785 s
% 14.45/3.10  # System time              : 0.119 s
% 14.45/3.10  # Total time               : 0.903 s
% 14.45/3.10  # ...preprocessing         : 0.862 s
% 14.45/3.10  # ...main loop             : 0.041 s
% 14.45/3.10  # Maximum resident set size: 168160 pages
% 14.45/3.10  
%------------------------------------------------------------------------------