TSTP Solution File: RNG122+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG122+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 20:25:03 EDT 2022

% Result   : Theorem 7.03s 2.14s
% Output   : CNFRefutation 7.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   45 (  25 unt;   0 nHn;  45 RR)
%            Number of literals    :   78 (  21 equ;  39 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_54) ).

cnf(i_0_99,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_99) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_26) ).

cnf(i_0_108,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_108) ).

cnf(i_0_116,hypothesis,
    sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_116) ).

cnf(i_0_13,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_13) ).

cnf(i_0_118,hypothesis,
    aElement0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_118) ).

cnf(i_0_120,hypothesis,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_120) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_7) ).

cnf(i_0_117,hypothesis,
    aElement0(xr),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_117) ).

cnf(i_0_122,negated_conjecture,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_122) ).

cnf(i_0_94,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_94) ).

cnf(i_0_8,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_8) ).

cnf(i_0_12,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_12) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_10) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_6) ).

cnf(c_0_139,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_140,hypothesis,
    aIdeal0(xI),
    i_0_99 ).

cnf(c_0_141,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_142,hypothesis,
    aElementOf0(xu,xI),
    i_0_108 ).

cnf(c_0_143,plain,
    aSet0(xI),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_144,hypothesis,
    sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
    i_0_116 ).

cnf(c_0_145,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_13 ).

cnf(c_0_146,hypothesis,
    aElement0(xq),
    i_0_118 ).

cnf(c_0_147,hypothesis,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).

cnf(c_0_148,hypothesis,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    i_0_120 ).

cnf(c_0_149,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_7 ).

cnf(c_0_150,hypothesis,
    sdtpldt0(sdtasdt0(xu,xq),xr) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_147])]) ).

cnf(c_0_151,hypothesis,
    aElement0(xr),
    i_0_117 ).

cnf(c_0_152,negated_conjecture,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
    i_0_122 ).

cnf(c_0_153,hypothesis,
    aElement0(smndt0(sdtasdt0(xq,xu))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_148]),c_0_143])]) ).

cnf(c_0_154,hypothesis,
    aElement0(xb),
    i_0_94 ).

cnf(c_0_155,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_8 ).

cnf(c_0_156,plain,
    ( sdtpldt0(xr,sdtasdt0(xu,xq)) = xb
    | ~ aElement0(sdtasdt0(xu,xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151])]) ).

cnf(c_0_157,negated_conjecture,
    sdtpldt0(xb,smndt0(sdtasdt0(xq,xu))) != xr,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_149]),c_0_153]),c_0_154])]) ).

cnf(c_0_158,plain,
    ( sdtpldt0(xr,sdtpldt0(sdtasdt0(xu,xq),X1)) = sdtpldt0(xb,X1)
    | ~ aElement0(sdtasdt0(xu,xq))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_151])]) ).

cnf(c_0_159,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    i_0_12 ).

cnf(c_0_160,hypothesis,
    aElement0(smndt0(sdtasdt0(xu,xq))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_145]),c_0_146]),c_0_147])]) ).

cnf(c_0_161,plain,
    sdtpldt0(xb,smndt0(sdtasdt0(xu,xq))) != xr,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_145]),c_0_146]),c_0_147])]) ).

cnf(c_0_162,plain,
    ( sdtpldt0(xb,smndt0(sdtasdt0(xu,xq))) = sdtpldt0(xr,sz00)
    | ~ aElement0(sdtasdt0(xu,xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).

cnf(c_0_163,plain,
    ( sdtpldt0(xr,sz00) != xr
    | ~ aElement0(sdtasdt0(xu,xq)) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_164,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_165,plain,
    ~ aElement0(sdtasdt0(xu,xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_151])]) ).

cnf(c_0_166,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_167,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_146]),c_0_147])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : RNG122+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Mon May 30 21:50:44 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.37  # ENIGMATIC: Selected complete mode:
% 7.03/2.14  # ENIGMATIC: Solved by autoschedule:
% 7.03/2.14  # No SInE strategy applied
% 7.03/2.14  # Trying AutoSched0 for 150 seconds
% 7.03/2.14  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S050N
% 7.03/2.14  # and selection function PSelectNewComplexExceptUniqMaxHorn.
% 7.03/2.14  #
% 7.03/2.14  # Preprocessing time       : 0.025 s
% 7.03/2.14  # Presaturation interreduction done
% 7.03/2.14  
% 7.03/2.14  # Proof found!
% 7.03/2.14  # SZS status Theorem
% 7.03/2.14  # SZS output start CNFRefutation
% See solution above
% 7.03/2.14  # Training examples: 0 positive, 0 negative
% 7.03/2.14  
% 7.03/2.14  # -------------------------------------------------
% 7.03/2.14  # User time                : 0.049 s
% 7.03/2.14  # System time              : 0.008 s
% 7.03/2.14  # Total time               : 0.057 s
% 7.03/2.14  # Maximum resident set size: 7120 pages
% 7.03/2.14  
%------------------------------------------------------------------------------