TSTP Solution File: RNG104+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG104+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 20:25:00 EDT 2022

% Result   : Theorem 8.38s 2.57s
% Output   : CNFRefutation 8.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   24 (  17 unt;   0 nHn;  24 RR)
%            Number of literals    :   39 (  12 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_14) ).

cnf(i_0_101,hypothesis,
    sdtasdt0(xc,xu) = xx,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_101) ).

cnf(i_0_102,hypothesis,
    aElement0(xu),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_102) ).

cnf(i_0_93,hypothesis,
    aElement0(xc),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_93) ).

cnf(i_0_106,negated_conjecture,
    sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xz,xx),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_106) ).

cnf(i_0_94,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_94) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_6) ).

cnf(i_0_99,hypothesis,
    sdtasdt0(xc,esk21_0) = xx,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_99) ).

cnf(i_0_100,hypothesis,
    aElement0(esk21_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_100) ).

cnf(i_0_13,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2u6f6uc2/lgb.p',i_0_13) ).

cnf(c_0_117,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_14 ).

cnf(c_0_118,hypothesis,
    sdtasdt0(xc,xu) = xx,
    i_0_101 ).

cnf(c_0_119,hypothesis,
    aElement0(xu),
    i_0_102 ).

cnf(c_0_120,hypothesis,
    aElement0(xc),
    i_0_93 ).

cnf(c_0_121,negated_conjecture,
    sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xz,xx),
    i_0_106 ).

cnf(c_0_122,hypothesis,
    ( sdtasdt0(xc,sdtasdt0(xu,X1)) = sdtasdt0(xx,X1)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120])]) ).

cnf(c_0_123,hypothesis,
    aElement0(xz),
    i_0_94 ).

cnf(c_0_124,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_125,hypothesis,
    sdtasdt0(xc,esk21_0) = xx,
    i_0_99 ).

cnf(c_0_126,hypothesis,
    aElement0(esk21_0),
    i_0_100 ).

cnf(c_0_127,negated_conjecture,
    sdtasdt0(xz,xx) != sdtasdt0(xx,xz),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).

cnf(c_0_128,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_13 ).

cnf(c_0_129,hypothesis,
    aElement0(xx),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_120])]) ).

cnf(c_0_130,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_123])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG104+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % 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 05:45:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.38/2.57  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.38/2.57  # No SInE strategy applied
% 8.38/2.57  # Trying AutoSched0 for 150 seconds
% 8.38/2.57  # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 8.38/2.57  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.38/2.57  #
% 8.38/2.57  # Preprocessing time       : 0.024 s
% 8.38/2.57  
% 8.38/2.57  # Proof found!
% 8.38/2.57  # SZS status Theorem
% 8.38/2.57  # SZS output start CNFRefutation
% See solution above
% 8.38/2.57  # Training examples: 0 positive, 0 negative
% 8.38/2.57  
% 8.38/2.57  # -------------------------------------------------
% 8.38/2.57  # User time                : 0.066 s
% 8.38/2.57  # System time              : 0.006 s
% 8.38/2.57  # Total time               : 0.072 s
% 8.38/2.57  # Maximum resident set size: 7124 pages
% 8.38/2.57  
%------------------------------------------------------------------------------