TSTP Solution File: RNG055+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG055+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 20:24:49 EDT 2022

% Result   : Theorem 7.90s 2.39s
% Output   : CNFRefutation 7.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  14 unt;   0 nHn;  27 RR)
%            Number of literals    :   55 (  14 equ;  36 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_23) ).

cnf(i_0_93,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_93) ).

cnf(i_0_95,negated_conjecture,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_95) ).

cnf(i_0_24,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_24) ).

cnf(i_0_79,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_79) ).

cnf(i_0_88,hypothesis,
    sdtasdt0(xE,xH) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_88) ).

cnf(i_0_85,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_85) ).

cnf(i_0_89,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_89) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n2zbut_z/input.p',i_0_13) ).

cnf(c_0_105,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_23 ).

cnf(c_0_106,hypothesis,
    aScalar0(xN),
    i_0_93 ).

cnf(c_0_107,negated_conjecture,
    sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
    i_0_95 ).

cnf(c_0_108,hypothesis,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_109,negated_conjecture,
    ( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) != sdtasdt0(xP,xP)
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_110,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_24 ).

cnf(c_0_111,hypothesis,
    aScalar0(xE),
    i_0_79 ).

cnf(c_0_112,hypothesis,
    sdtasdt0(xE,xH) = xP,
    i_0_88 ).

cnf(c_0_113,hypothesis,
    aScalar0(xH),
    i_0_85 ).

cnf(c_0_114,plain,
    ( sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) != sdtasdt0(xP,xP)
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).

cnf(c_0_115,hypothesis,
    ( sdtasdt0(xE,sdtasdt0(xH,X1)) = sdtasdt0(xP,X1)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_112]),c_0_113]),c_0_111])]) ).

cnf(c_0_116,hypothesis,
    ( sdtasdt0(xE,sdtasdt0(xP,xH)) != sdtasdt0(xP,xP)
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_113])]) ).

cnf(c_0_117,hypothesis,
    aScalar0(xP),
    i_0_89 ).

cnf(c_0_118,hypothesis,
    ( sdtasdt0(xE,sdtasdt0(xH,xP)) != sdtasdt0(xP,xP)
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_108]),c_0_113]),c_0_117])]) ).

cnf(c_0_119,hypothesis,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_115]),c_0_117])]) ).

cnf(c_0_120,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_121,plain,
    ~ aScalar0(sdtasdt0(xE,xE)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_113])]) ).

cnf(c_0_122,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_111])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG055+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n029.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 : Mon May 30 08:00:00 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.90/2.39  # ENIGMATIC: Solved by autoschedule:
% 7.90/2.39  # No SInE strategy applied
% 7.90/2.39  # Trying AutoSched0 for 150 seconds
% 7.90/2.39  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.90/2.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.90/2.39  #
% 7.90/2.39  # Preprocessing time       : 0.013 s
% 7.90/2.39  
% 7.90/2.39  # Proof found!
% 7.90/2.39  # SZS status Theorem
% 7.90/2.39  # SZS output start CNFRefutation
% See solution above
% 7.90/2.39  # Training examples: 0 positive, 0 negative
% 7.90/2.39  
% 7.90/2.39  # -------------------------------------------------
% 7.90/2.39  # User time                : 0.078 s
% 7.90/2.39  # System time              : 0.006 s
% 7.90/2.39  # Total time               : 0.084 s
% 7.90/2.39  # Maximum resident set size: 7124 pages
% 7.90/2.39  
%------------------------------------------------------------------------------