TSTP Solution File: RNG065+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG065+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 20:24:52 EDT 2022

% Result   : Theorem 8.78s 2.42s
% Output   : CNFRefutation 8.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   45 (  25 unt;   0 nHn;  45 RR)
%            Number of literals    :   99 (   7 equ;  62 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_36,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_36) ).

cnf(i_0_104,hypothesis,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_104) ).

cnf(i_0_105,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_105) ).

cnf(i_0_14,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_14) ).

cnf(i_0_31,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_31) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_13) ).

cnf(i_0_90,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_90) ).

cnf(i_0_77,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_77) ).

cnf(i_0_81,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_81) ).

cnf(i_0_37,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_37) ).

cnf(i_0_95,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_95) ).

cnf(i_0_93,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_93) ).

cnf(i_0_96,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_96) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_12) ).

cnf(i_0_89,hypothesis,
    aScalar0(xP),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_89) ).

cnf(i_0_87,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ftebjgp3/input.p',i_0_87) ).

cnf(c_0_122,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_36 ).

cnf(c_0_123,hypothesis,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    i_0_104 ).

cnf(c_0_124,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    i_0_105 ).

cnf(c_0_125,hypothesis,
    ( sdtlseqdt0(X1,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ sdtlseqdt0(X1,sdtpldt0(xN,xN))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_126,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    i_0_14 ).

cnf(c_0_127,plain,
    ( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_31 ).

cnf(c_0_128,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_129,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_90 ).

cnf(c_0_130,hypothesis,
    aScalar0(xD),
    i_0_77 ).

cnf(c_0_131,hypothesis,
    aScalar0(xF),
    i_0_81 ).

cnf(c_0_132,negated_conjecture,
    ( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(xN,xN))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtpldt0(xN,xN)) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_133,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_37 ).

cnf(c_0_134,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    i_0_95 ).

cnf(c_0_135,hypothesis,
    aScalar0(xN),
    i_0_93 ).

cnf(c_0_136,hypothesis,
    sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
    i_0_96 ).

cnf(c_0_137,plain,
    ( aScalar0(sdtasdt0(X1,smndt0(X2)))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).

cnf(c_0_138,hypothesis,
    sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_129]),c_0_130]),c_0_131])]) ).

cnf(c_0_139,plain,
    ( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135])]) ).

cnf(c_0_140,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_141,hypothesis,
    ( aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(smndt0(xS)) ),
    inference(spm,[status(thm)],[c_0_128,c_0_136]) ).

cnf(c_0_142,hypothesis,
    aScalar0(smndt0(xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_130]),c_0_131])]) ).

cnf(c_0_143,plain,
    ( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_144,hypothesis,
    aScalar0(sdtasdt0(xS,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).

cnf(c_0_145,plain,
    ( ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_140]),c_0_144])]) ).

cnf(c_0_146,plain,
    ( ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_140]),c_0_135])]) ).

cnf(c_0_147,hypothesis,
    aScalar0(xP),
    i_0_89 ).

cnf(c_0_148,plain,
    ~ aScalar0(sdtasdt0(xR,xR)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_128]),c_0_147])]) ).

cnf(c_0_149,hypothesis,
    aScalar0(xR),
    i_0_87 ).

cnf(c_0_150,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_128]),c_0_149])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : RNG065+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 07:20:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.78/2.42  # ENIGMATIC: Solved by autoschedule:
% 8.78/2.42  # No SInE strategy applied
% 8.78/2.42  # Trying AutoSched0 for 150 seconds
% 8.78/2.42  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.78/2.42  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.78/2.42  #
% 8.78/2.42  # Preprocessing time       : 0.025 s
% 8.78/2.42  
% 8.78/2.42  # Proof found!
% 8.78/2.42  # SZS status Theorem
% 8.78/2.42  # SZS output start CNFRefutation
% See solution above
% 8.78/2.42  # Training examples: 0 positive, 0 negative
% 8.78/2.42  
% 8.78/2.42  # -------------------------------------------------
% 8.78/2.42  # User time                : 0.102 s
% 8.78/2.42  # System time              : 0.010 s
% 8.78/2.42  # Total time               : 0.112 s
% 8.78/2.42  # Maximum resident set size: 7120 pages
% 8.78/2.42  
%------------------------------------------------------------------------------