TSTP Solution File: RNG077+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 20:24:55 EDT 2022

% Result   : Theorem 7.85s 2.35s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   33 (  16 unt;   0 nHn;  33 RR)
%            Number of literals    :   71 (  18 equ;  46 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   35 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_97,negated_conjecture,
    sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_97) ).

cnf(i_0_88,hypothesis,
    sdtasdt0(xE,xH) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_88) ).

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-r82wb52_/input.p',i_0_28) ).

cnf(i_0_85,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_85) ).

cnf(i_0_79,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_79) ).

cnf(i_0_26,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_26) ).

cnf(i_0_89,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_89) ).

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-r82wb52_/input.p',i_0_27) ).

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-r82wb52_/input.p',i_0_23) ).

cnf(i_0_93,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_93) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_12) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r82wb52_/input.p',i_0_13) ).

cnf(c_0_110,negated_conjecture,
    sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
    i_0_97 ).

cnf(c_0_111,hypothesis,
    sdtasdt0(xE,xH) = xP,
    i_0_88 ).

cnf(c_0_112,negated_conjecture,
    sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
    inference(rw,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_113,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_114,hypothesis,
    aScalar0(xH),
    i_0_85 ).

cnf(c_0_115,hypothesis,
    aScalar0(xE),
    i_0_79 ).

cnf(c_0_116,negated_conjecture,
    sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115])]) ).

cnf(c_0_117,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_26 ).

cnf(c_0_118,hypothesis,
    aScalar0(xP),
    i_0_89 ).

cnf(c_0_119,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_120,plain,
    ( sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))) != sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH)))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]) ).

cnf(c_0_121,hypothesis,
    ( sdtpldt0(xP,sdtasdt0(X1,xH)) = sdtasdt0(sdtpldt0(xE,X1),xH)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_111]),c_0_114]),c_0_115])]) ).

cnf(c_0_122,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_23 ).

cnf(c_0_123,hypothesis,
    aScalar0(xN),
    i_0_93 ).

cnf(c_0_124,plain,
    ( sdtpldt0(xP,sdtasdt0(sdtpldt0(xE,xH),xH)) != sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH)))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_114])]) ).

cnf(c_0_125,hypothesis,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_126,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xE,xH)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_114])]) ).

cnf(c_0_127,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_128,plain,
    ~ aScalar0(sdtasdt0(xH,xH)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_114]),c_0_115])]) ).

cnf(c_0_129,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_130,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_114])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG077+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon May 30 12:26:15 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 7.85/2.35  # ENIGMATIC: Solved by autoschedule:
% 7.85/2.35  # No SInE strategy applied
% 7.85/2.35  # Trying AutoSched0 for 150 seconds
% 7.85/2.35  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.85/2.35  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.85/2.35  #
% 7.85/2.35  # Preprocessing time       : 0.025 s
% 7.85/2.35  
% 7.85/2.35  # Proof found!
% 7.85/2.35  # SZS status Theorem
% 7.85/2.35  # SZS output start CNFRefutation
% See solution above
% 7.85/2.35  # Training examples: 0 positive, 0 negative
% 7.85/2.35  
% 7.85/2.35  # -------------------------------------------------
% 7.85/2.35  # User time                : 0.096 s
% 7.85/2.35  # System time              : 0.013 s
% 7.85/2.35  # Total time               : 0.109 s
% 7.85/2.35  # Maximum resident set size: 7124 pages
% 7.85/2.35  
%------------------------------------------------------------------------------