TSTP Solution File: RNG067+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG067+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:24:52 EDT 2022

% Result   : Theorem 18.61s 3.76s
% Output   : CNFRefutation 18.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  16 unt;   0 nHn;  28 RR)
%            Number of literals    :   62 (   0 equ;  43 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_97,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_97) ).

cnf(i_0_37,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_37) ).

cnf(i_0_95,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_95) ).

cnf(i_0_93,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_93) ).

cnf(i_0_96,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_96) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_12) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_13) ).

cnf(i_0_91,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_91) ).

cnf(i_0_87,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_87) ).

cnf(i_0_89,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rl3zjrjm/input.p',i_0_89) ).

cnf(c_0_108,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
    i_0_97 ).

cnf(c_0_109,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_37 ).

cnf(c_0_110,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    i_0_95 ).

cnf(c_0_111,hypothesis,
    aScalar0(xN),
    i_0_93 ).

cnf(c_0_112,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
    | ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111])]) ).

cnf(c_0_113,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    i_0_96 ).

cnf(c_0_114,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_115,plain,
    ( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_109]),c_0_110]),c_0_113]),c_0_111])]),c_0_114]) ).

cnf(c_0_116,plain,
    ( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_114]),c_0_111])]) ).

cnf(c_0_117,plain,
    ( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_114]) ).

cnf(c_0_118,plain,
    ( ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_114]) ).

cnf(c_0_119,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_120,hypothesis,
    aScalar0(xS),
    i_0_91 ).

cnf(c_0_121,plain,
    ( ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).

cnf(c_0_122,hypothesis,
    aScalar0(xR),
    i_0_87 ).

cnf(c_0_123,plain,
    ~ aScalar0(sdtasdt0(xP,xP)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_119]),c_0_122])]) ).

cnf(c_0_124,hypothesis,
    aScalar0(xP),
    i_0_89 ).

cnf(c_0_125,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_119]),c_0_124])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : RNG067+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon May 30 22:12:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 18.61/3.76  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 18.61/3.76  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 27; version: 991; iters: 150)
% 18.61/3.76  # Preprocessing time       : 0.932 s
% 18.61/3.76  
% 18.61/3.76  # Proof found!
% 18.61/3.76  # SZS status Theorem
% 18.61/3.76  # SZS output start CNFRefutation
% See solution above
% 18.61/3.76  # Training examples: 0 positive, 0 negative
% 18.61/3.76  
% 18.61/3.76  # -------------------------------------------------
% 18.61/3.76  # User time                : 1.288 s
% 18.61/3.76  # System time              : 0.121 s
% 18.61/3.76  # Total time               : 1.409 s
% 18.61/3.76  # ...preprocessing         : 0.932 s
% 18.61/3.76  # ...main loop             : 0.477 s
% 18.61/3.76  # Maximum resident set size: 168604 pages
% 18.61/3.76  
%------------------------------------------------------------------------------