TSTP Solution File: RNG080+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG080+1 : 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 20:24:55 EDT 2022

% Result   : Theorem 10.75s 2.71s
% Output   : CNFRefutation 10.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   51 (  41 unt;   5 nHn;  51 RR)
%            Number of literals    :   77 (  49 equ;  26 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
    | X2 != sziznziztdt0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_49) ).

cnf(i_0_61,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_61) ).

cnf(i_0_60,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_60) ).

cnf(i_0_66,hypothesis,
    sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_66) ).

cnf(i_0_62,hypothesis,
    sziznziztdt0(xs) = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_62) ).

cnf(i_0_58,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_58) ).

cnf(i_0_45,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_45) ).

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/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_55) ).

cnf(i_0_70,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_70) ).

cnf(i_0_76,hypothesis,
    sdtasdt0(xA,xA) = xF,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_76) ).

cnf(i_0_68,hypothesis,
    sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_68) ).

cnf(i_0_64,hypothesis,
    sziznziztdt0(xt) = xq,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_64) ).

cnf(i_0_57,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_57) ).

cnf(i_0_92,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_92) ).

cnf(i_0_74,hypothesis,
    sdtasasdt0(xp,xq) = xE,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_74) ).

cnf(i_0_80,hypothesis,
    sdtasdt0(xA,xB) = xH,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_80) ).

cnf(i_0_72,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_72) ).

cnf(i_0_78,hypothesis,
    sdtasdt0(xB,xB) = xG,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_78) ).

cnf(i_0_93,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1vgcfm2_/lgb.p',i_0_93) ).

cnf(c_0_113,plain,
    ( aDimensionOf0(X1) = sz00
    | sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
    | X2 != sziznziztdt0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aVector0(X1) ),
    i_0_49 ).

cnf(c_0_114,hypothesis,
    aDimensionOf0(xs) != sz00,
    i_0_61 ).

cnf(c_0_115,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_60 ).

cnf(c_0_116,hypothesis,
    sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
    i_0_66 ).

cnf(c_0_117,plain,
    ( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
    | aDimensionOf0(X1) = sz00
    | ~ aNaturalNumber0(X2)
    | ~ aVector0(X1) ),
    inference(er,[status(thm)],[c_0_113]) ).

cnf(c_0_118,hypothesis,
    sziznziztdt0(xs) = xp,
    i_0_62 ).

cnf(c_0_119,hypothesis,
    aVector0(xs),
    i_0_58 ).

cnf(c_0_120,hypothesis,
    aDimensionOf0(xt) != sz00,
    inference(rw,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_121,plain,
    ( aNaturalNumber0(aDimensionOf0(X1))
    | ~ aVector0(X1) ),
    i_0_45 ).

cnf(c_0_122,hypothesis,
    sdtlbdtrb0(xs,aDimensionOf0(xt)) = xA,
    inference(rw,[status(thm)],[c_0_116,c_0_115]) ).

cnf(c_0_123,hypothesis,
    ( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(xp,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_115]),c_0_119])]),c_0_120]) ).

cnf(c_0_124,hypothesis,
    aNaturalNumber0(aDimensionOf0(xt)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_115]),c_0_119])]) ).

cnf(c_0_125,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_126,hypothesis,
    sdtlbdtrb0(xp,aDimensionOf0(xt)) = xA,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).

cnf(c_0_127,plain,
    ( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xp),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xA)) = sdtasasdt0(X1,xs)
    | aDimensionOf0(xt) != aDimensionOf0(X1)
    | ~ aVector0(X1) ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_123]),c_0_118]),c_0_115]),c_0_115]),c_0_115]),c_0_119]),c_0_115]),c_0_124])]),c_0_120]),c_0_126]) ).

cnf(c_0_128,hypothesis,
    sdtasasdt0(xp,xp) = xC,
    i_0_70 ).

cnf(c_0_129,hypothesis,
    sdtasdt0(xA,xA) = xF,
    i_0_76 ).

cnf(c_0_130,hypothesis,
    sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
    i_0_68 ).

cnf(c_0_131,hypothesis,
    sziznziztdt0(xt) = xq,
    i_0_64 ).

cnf(c_0_132,hypothesis,
    aVector0(xt),
    i_0_57 ).

cnf(c_0_133,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    i_0_92 ).

cnf(c_0_134,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_127,c_0_115]),c_0_118]),c_0_128]),c_0_122]),c_0_129]),c_0_119])]) ).

cnf(c_0_135,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_125,c_0_130]),c_0_131]),c_0_132])]),c_0_120]) ).

cnf(c_0_136,hypothesis,
    sdtasasdt0(xp,xq) = xE,
    i_0_74 ).

cnf(c_0_137,hypothesis,
    sdtasdt0(xA,xB) = xH,
    i_0_80 ).

cnf(c_0_138,hypothesis,
    sdtasasdt0(xq,xq) = xD,
    i_0_72 ).

cnf(c_0_139,hypothesis,
    sdtasdt0(xB,xB) = xG,
    i_0_78 ).

cnf(c_0_140,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))),
    inference(rw,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_141,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_135,c_0_115]),c_0_118]),c_0_136]),c_0_122]),c_0_137]),c_0_119])]) ).

cnf(c_0_142,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_135,c_0_130]),c_0_131]),c_0_138]),c_0_139]),c_0_132])]) ).

cnf(c_0_143,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    i_0_93 ).

cnf(c_0_144,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141]),c_0_141]),c_0_142]),c_0_143]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG080+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % 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 18:12:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 10.75/2.71  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.75/2.71  # No SInE strategy applied
% 10.75/2.71  # Trying AutoSched0 for 150 seconds
% 10.75/2.71  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 10.75/2.71  # and selection function SelectMaxLComplexAvoidPosPred.
% 10.75/2.71  #
% 10.75/2.71  # Preprocessing time       : 0.024 s
% 10.75/2.71  
% 10.75/2.71  # Proof found!
% 10.75/2.71  # SZS status Theorem
% 10.75/2.71  # SZS output start CNFRefutation
% See solution above
% 10.75/2.71  # Training examples: 0 positive, 0 negative
% 10.75/2.71  
% 10.75/2.71  # -------------------------------------------------
% 10.75/2.71  # User time                : 0.301 s
% 10.75/2.71  # System time              : 0.017 s
% 10.75/2.71  # Total time               : 0.318 s
% 10.75/2.71  # Maximum resident set size: 7124 pages
% 10.75/2.71  
%------------------------------------------------------------------------------