TSTP Solution File: RNG122+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG122+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 20:25:04 EDT 2022

% Result   : Theorem 9.36s 2.59s
% Output   : CNFRefutation 9.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   42 (  25 unt;   0 nHn;  42 RR)
%            Number of literals    :   70 (  21 equ;  35 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_210,negated_conjecture,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_210) ).

cnf(i_0_203,hypothesis,
    smndt0(sdtasdt0(xq,xu)) = sdtpldt0(esk42_0,esk43_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_203) ).

cnf(i_0_202,hypothesis,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_202) ).

cnf(i_0_198,hypothesis,
    sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_198) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_7) ).

cnf(i_0_199,hypothesis,
    aElement0(xr),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_199) ).

cnf(i_0_94,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_94) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_26) ).

cnf(i_0_149,hypothesis,
    aSet0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_149) ).

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-roe2xd24/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-roe2xd24/input.p',i_0_12) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_10) ).

cnf(i_0_176,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_176) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_6) ).

cnf(i_0_200,hypothesis,
    aElement0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-roe2xd24/input.p',i_0_200) ).

cnf(c_0_226,negated_conjecture,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
    i_0_210 ).

cnf(c_0_227,hypothesis,
    smndt0(sdtasdt0(xq,xu)) = sdtpldt0(esk42_0,esk43_0),
    i_0_203 ).

cnf(c_0_228,hypothesis,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    i_0_202 ).

cnf(c_0_229,hypothesis,
    sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
    i_0_198 ).

cnf(c_0_230,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_7 ).

cnf(c_0_231,hypothesis,
    aElement0(xr),
    i_0_199 ).

cnf(c_0_232,negated_conjecture,
    sdtpldt0(sdtpldt0(esk42_0,esk43_0),xb) != xr,
    inference(rw,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_233,hypothesis,
    aElement0(xb),
    i_0_94 ).

cnf(c_0_234,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_235,hypothesis,
    aElementOf0(sdtpldt0(esk42_0,esk43_0),xI),
    inference(rw,[status(thm)],[c_0_228,c_0_227]) ).

cnf(c_0_236,hypothesis,
    aSet0(xI),
    i_0_149 ).

cnf(c_0_237,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_8 ).

cnf(c_0_238,hypothesis,
    ( sdtpldt0(xr,sdtasdt0(xq,xu)) = xb
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231])]) ).

cnf(c_0_239,negated_conjecture,
    ( sdtpldt0(xb,sdtpldt0(esk42_0,esk43_0)) != xr
    | ~ aElement0(sdtpldt0(esk42_0,esk43_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_230]),c_0_233])]) ).

cnf(c_0_240,hypothesis,
    aElement0(sdtpldt0(esk42_0,esk43_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236])]) ).

cnf(c_0_241,plain,
    ( sdtpldt0(xr,sdtpldt0(sdtasdt0(xq,xu),X1)) = sdtpldt0(xb,X1)
    | ~ aElement0(sdtasdt0(xq,xu))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_231])]) ).

cnf(c_0_242,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    i_0_12 ).

cnf(c_0_243,negated_conjecture,
    sdtpldt0(xb,sdtpldt0(esk42_0,esk43_0)) != xr,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_240])]) ).

cnf(c_0_244,plain,
    ( sdtpldt0(xb,sdtpldt0(esk42_0,esk43_0)) = sdtpldt0(xr,sz00)
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_227]),c_0_227]),c_0_240])]) ).

cnf(c_0_245,negated_conjecture,
    ( sdtpldt0(xr,sz00) != xr
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_246,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_247,hypothesis,
    aElementOf0(xu,xI),
    i_0_176 ).

cnf(c_0_248,plain,
    ~ aElement0(sdtasdt0(xq,xu)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_231])]) ).

cnf(c_0_249,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_250,hypothesis,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_247]),c_0_236])]) ).

cnf(c_0_251,hypothesis,
    aElement0(xq),
    i_0_200 ).

cnf(c_0_252,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]),c_0_251])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG122+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon May 30 14:49:28 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 9.36/2.59  # ENIGMATIC: Solved by autoschedule:
% 9.36/2.59  # No SInE strategy applied
% 9.36/2.59  # Trying AutoSched0 for 150 seconds
% 9.36/2.59  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 9.36/2.59  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.36/2.59  #
% 9.36/2.59  # Preprocessing time       : 0.026 s
% 9.36/2.59  # Presaturation interreduction done
% 9.36/2.59  
% 9.36/2.59  # Proof found!
% 9.36/2.59  # SZS status Theorem
% 9.36/2.59  # SZS output start CNFRefutation
% See solution above
% 9.36/2.59  # Training examples: 0 positive, 0 negative
% 9.36/2.59  
% 9.36/2.59  # -------------------------------------------------
% 9.36/2.59  # User time                : 0.146 s
% 9.36/2.59  # System time              : 0.013 s
% 9.36/2.59  # Total time               : 0.159 s
% 9.36/2.59  # Maximum resident set size: 7116 pages
% 9.36/2.59  
%------------------------------------------------------------------------------