TSTP Solution File: RNG080+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG080+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 9.37s 2.50s
% Output   : CNFRefutation 9.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   43 (  39 unt;   2 nHn;  43 RR)
%            Number of literals    :   55 (  39 equ;  15 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_70,hypothesis,
    sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_70) ).

cnf(i_0_60,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_60) ).

cnf(i_0_61,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_61) ).

cnf(i_0_55,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtpldt0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X2,X1)
    | aDimensionOf0(X2) != aDimensionOf0(X1)
    | ~ aVector0(X1)
    | ~ aVector0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_55) ).

cnf(i_0_62,hypothesis,
    sziznziztdt0(xs) = xp,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_62) ).

cnf(i_0_58,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_58) ).

cnf(i_0_74,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_74) ).

cnf(i_0_80,hypothesis,
    sdtasdt0(xA,xA) = xF,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_80) ).

cnf(i_0_72,hypothesis,
    sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_72) ).

cnf(i_0_66,hypothesis,
    sziznziztdt0(xt) = xq,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_66) ).

cnf(i_0_57,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_57) ).

cnf(i_0_96,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_96) ).

cnf(i_0_78,hypothesis,
    sdtasasdt0(xp,xq) = xE,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_78) ).

cnf(i_0_84,hypothesis,
    sdtasdt0(xA,xB) = xH,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_84) ).

cnf(i_0_76,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_76) ).

cnf(i_0_82,hypothesis,
    sdtasdt0(xB,xB) = xG,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_82) ).

cnf(i_0_97,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t53gduld/lgb.p',i_0_97) ).

cnf(c_0_115,hypothesis,
    sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
    i_0_70 ).

cnf(c_0_116,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_60 ).

cnf(c_0_117,hypothesis,
    aDimensionOf0(xs) != sz00,
    i_0_61 ).

cnf(c_0_118,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtpldt0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X2,X1)
    | aDimensionOf0(X2) != aDimensionOf0(X1)
    | ~ aVector0(X1)
    | ~ aVector0(X2) ),
    i_0_55 ).

cnf(c_0_119,hypothesis,
    sziznziztdt0(xs) = xp,
    i_0_62 ).

cnf(c_0_120,hypothesis,
    sdtlbdtrb0(xs,aDimensionOf0(xt)) = xA,
    inference(rw,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_121,hypothesis,
    aVector0(xs),
    i_0_58 ).

cnf(c_0_122,hypothesis,
    aDimensionOf0(xt) != sz00,
    inference(rw,[status(thm)],[c_0_117,c_0_116]) ).

cnf(c_0_123,hypothesis,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xp),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xA)) = sdtasasdt0(X1,xs)
    | aDimensionOf0(xt) != aDimensionOf0(X1)
    | ~ aVector0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_116]),c_0_119]),c_0_120]),c_0_121])]),c_0_122]) ).

cnf(c_0_124,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_74 ).

cnf(c_0_125,hypothesis,
    sdtasdt0(xA,xA) = xF,
    i_0_80 ).

cnf(c_0_126,hypothesis,
    sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
    i_0_72 ).

cnf(c_0_127,hypothesis,
    sziznziztdt0(xt) = xq,
    i_0_66 ).

cnf(c_0_128,hypothesis,
    aVector0(xt),
    i_0_57 ).

cnf(c_0_129,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    i_0_96 ).

cnf(c_0_130,hypothesis,
    sdtpldt0(xC,xF) = sdtasasdt0(xs,xs),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_116]),c_0_119]),c_0_124]),c_0_120]),c_0_125]),c_0_121])]) ).

cnf(c_0_131,hypothesis,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
    | aDimensionOf0(xt) != aDimensionOf0(X1)
    | ~ aVector0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_126]),c_0_127]),c_0_128])]),c_0_122]) ).

cnf(c_0_132,hypothesis,
    sdtasasdt0(xp,xq) = xE,
    i_0_78 ).

cnf(c_0_133,hypothesis,
    sdtasdt0(xA,xB) = xH,
    i_0_84 ).

cnf(c_0_134,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    i_0_76 ).

cnf(c_0_135,hypothesis,
    sdtasdt0(xB,xB) = xG,
    i_0_82 ).

cnf(c_0_136,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))),
    inference(rw,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_137,hypothesis,
    sdtpldt0(xE,xH) = sdtasasdt0(xs,xt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_116]),c_0_119]),c_0_132]),c_0_120]),c_0_133]),c_0_121])]) ).

cnf(c_0_138,hypothesis,
    sdtpldt0(xD,xG) = sdtasasdt0(xt,xt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_126]),c_0_127]),c_0_134]),c_0_135]),c_0_128])]) ).

cnf(c_0_139,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    i_0_97 ).

cnf(c_0_140,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_137]),c_0_138]),c_0_139]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG080+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 19:55:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 9.37/2.50  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.37/2.50  # No SInE strategy applied
% 9.37/2.50  # Trying AutoSched0 for 150 seconds
% 9.37/2.50  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 9.37/2.50  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.37/2.50  #
% 9.37/2.50  # Preprocessing time       : 0.013 s
% 9.37/2.50  
% 9.37/2.50  # Proof found!
% 9.37/2.50  # SZS status Theorem
% 9.37/2.50  # SZS output start CNFRefutation
% See solution above
% 9.37/2.50  # Training examples: 0 positive, 0 negative
% 9.37/2.50  
% 9.37/2.50  # -------------------------------------------------
% 9.37/2.50  # User time                : 0.239 s
% 9.37/2.50  # System time              : 0.013 s
% 9.37/2.50  # Total time               : 0.252 s
% 9.37/2.50  # Maximum resident set size: 7124 pages
% 9.37/2.50  
%------------------------------------------------------------------------------