TSTP Solution File: RNG069+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG069+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 20:24:53 EDT 2022

% Result   : Theorem 8.70s 2.43s
% Output   : CNFRefutation 8.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  18 unt;   0 nHn;  27 RR)
%            Number of literals    :   52 (   9 equ;  28 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_99,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_99) ).

cnf(i_0_92,hypothesis,
    sdtasdt0(xR,xS) = xN,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_92) ).

cnf(i_0_29,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)),sdtpldt0(sdtasdt0(X4,X2),sdtasdt0(X4,X3))) = sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X4)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_29) ).

cnf(i_0_89,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_89) ).

cnf(i_0_28,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_28) ).

cnf(i_0_91,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_91) ).

cnf(i_0_87,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_87) ).

cnf(i_0_27,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_27) ).

cnf(i_0_100,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_100) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1cd86k7o/lgb.p',i_0_12) ).

cnf(c_0_111,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
    i_0_99 ).

cnf(c_0_112,hypothesis,
    sdtasdt0(xR,xS) = xN,
    i_0_92 ).

cnf(c_0_113,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
    inference(rw,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_114,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)),sdtpldt0(sdtasdt0(X4,X2),sdtasdt0(X4,X3))) = sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X4)
    | ~ aScalar0(X1) ),
    i_0_29 ).

cnf(c_0_115,hypothesis,
    aScalar0(xP),
    i_0_89 ).

cnf(c_0_116,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]) ).

cnf(c_0_117,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_28 ).

cnf(c_0_118,hypothesis,
    aScalar0(xS),
    i_0_91 ).

cnf(c_0_119,hypothesis,
    aScalar0(xR),
    i_0_87 ).

cnf(c_0_120,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,sdtpldt0(xR,xS)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119])]) ).

cnf(c_0_121,hypothesis,
    ( sdtpldt0(sdtasdt0(xR,X1),xN) = sdtasdt0(xR,sdtpldt0(X1,xS))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_112]),c_0_118]),c_0_119])]) ).

cnf(c_0_122,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_119])]) ).

cnf(c_0_123,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    i_0_27 ).

cnf(c_0_124,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
    i_0_100 ).

cnf(c_0_125,plain,
    ~ aScalar0(sdtpldt0(xR,xS)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_118]),c_0_119])]),c_0_124]) ).

cnf(c_0_126,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_127,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_118]),c_0_119])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : RNG069+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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 19:41:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.70/2.43  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.70/2.43  # No SInE strategy applied
% 8.70/2.43  # Trying AutoSched0 for 150 seconds
% 8.70/2.43  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.70/2.43  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.70/2.43  #
% 8.70/2.43  # Preprocessing time       : 0.025 s
% 8.70/2.43  
% 8.70/2.43  # Proof found!
% 8.70/2.43  # SZS status Theorem
% 8.70/2.43  # SZS output start CNFRefutation
% See solution above
% 8.70/2.43  # Training examples: 0 positive, 0 negative
% 8.70/2.43  
% 8.70/2.43  # -------------------------------------------------
% 8.70/2.43  # User time                : 0.176 s
% 8.70/2.43  # System time              : 0.016 s
% 8.70/2.43  # Total time               : 0.192 s
% 8.70/2.43  # Maximum resident set size: 7128 pages
% 8.70/2.43  
%------------------------------------------------------------------------------