TSTP Solution File: RNG112+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG112+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 20:25:01 EDT 2022

% Result   : Theorem 7.58s 2.39s
% Output   : CNFRefutation 7.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (  15 unt;  14 nHn;  35 RR)
%            Number of literals    :   93 (  42 equ;  48 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_163,hypothesis,
    aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_163) ).

cnf(i_0_135,hypothesis,
    sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_135) ).

cnf(i_0_193,negated_conjecture,
    ( X1 = sz00
    | iLess0(sbrdtbr0(esk40_1(X1)),sbrdtbr0(X1))
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_193) ).

cnf(i_0_177,hypothesis,
    ( X1 = sz00
    | sdtpldt0(esk38_0,esk39_0) = esk37_0
    | ~ aElementOf0(X1,xI) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_177) ).

cnf(i_0_162,hypothesis,
    sz00 != esk32_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_162) ).

cnf(i_0_178,hypothesis,
    ( X1 = sz00
    | aElementOf0(esk39_0,slsdtgt0(xb))
    | ~ aElementOf0(X1,xI) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_178) ).

cnf(i_0_179,hypothesis,
    ( X1 = sz00
    | aElementOf0(esk38_0,slsdtgt0(xa))
    | ~ aElementOf0(X1,xI) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_179) ).

cnf(i_0_175,hypothesis,
    ( X1 = sz00
    | esk37_0 != sz00
    | ~ aElementOf0(X1,xI) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_175) ).

cnf(i_0_195,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk40_1(X1),xI)
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_195) ).

cnf(i_0_194,negated_conjecture,
    ( X1 = sz00
    | esk40_1(X1) != sz00
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_194) ).

cnf(i_0_173,hypothesis,
    ( X1 = sz00
    | X2 = sz00
    | ~ aElementOf0(X1,xI)
    | ~ aElementOf0(X2,xI)
    | ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gszl6zpu/input.p',i_0_173) ).

cnf(c_0_207,hypothesis,
    aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    i_0_163 ).

cnf(c_0_208,hypothesis,
    sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
    i_0_135 ).

cnf(c_0_209,negated_conjecture,
    ( X1 = sz00
    | iLess0(sbrdtbr0(esk40_1(X1)),sbrdtbr0(X1))
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    i_0_193 ).

cnf(c_0_210,hypothesis,
    ( X1 = sz00
    | sdtpldt0(esk38_0,esk39_0) = esk37_0
    | ~ aElementOf0(X1,xI) ),
    i_0_177 ).

cnf(c_0_211,hypothesis,
    aElementOf0(esk32_0,xI),
    inference(rw,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_212,hypothesis,
    sz00 != esk32_0,
    i_0_162 ).

cnf(c_0_213,hypothesis,
    ( X1 = sz00
    | aElementOf0(esk39_0,slsdtgt0(xb))
    | ~ aElementOf0(X1,xI) ),
    i_0_178 ).

cnf(c_0_214,hypothesis,
    ( X1 = sz00
    | aElementOf0(esk38_0,slsdtgt0(xa))
    | ~ aElementOf0(X1,xI) ),
    i_0_179 ).

cnf(c_0_215,hypothesis,
    ( X1 = sz00
    | esk37_0 != sz00
    | ~ aElementOf0(X1,xI) ),
    i_0_175 ).

cnf(c_0_216,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk40_1(X1),xI)
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    i_0_195 ).

cnf(c_0_217,negated_conjecture,
    ( X1 = sz00
    | esk40_1(X1) != sz00
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    i_0_194 ).

cnf(c_0_218,negated_conjecture,
    ( sdtpldt0(X1,X2) = sz00
    | iLess0(sbrdtbr0(esk40_1(sdtpldt0(X1,X2))),sbrdtbr0(sdtpldt0(X1,X2)))
    | ~ aElementOf0(X2,slsdtgt0(xb))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(er,[status(thm)],[c_0_209]) ).

cnf(c_0_219,hypothesis,
    sdtpldt0(esk38_0,esk39_0) = esk37_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]) ).

cnf(c_0_220,hypothesis,
    aElementOf0(esk39_0,slsdtgt0(xb)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_211]),c_0_212]) ).

cnf(c_0_221,hypothesis,
    aElementOf0(esk38_0,slsdtgt0(xa)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_211]),c_0_212]) ).

cnf(c_0_222,hypothesis,
    esk37_0 != sz00,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_211]),c_0_212]) ).

cnf(c_0_223,negated_conjecture,
    ( sdtpldt0(X1,X2) = sz00
    | aElementOf0(esk40_1(sdtpldt0(X1,X2)),xI)
    | ~ aElementOf0(X2,slsdtgt0(xb))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(er,[status(thm)],[c_0_216]) ).

cnf(c_0_224,negated_conjecture,
    ( sdtpldt0(X1,X2) = sz00
    | esk40_1(sdtpldt0(X1,X2)) != sz00
    | ~ aElementOf0(X2,slsdtgt0(xb))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(er,[status(thm)],[c_0_217]) ).

cnf(c_0_225,hypothesis,
    ( X1 = sz00
    | X2 = sz00
    | ~ aElementOf0(X1,xI)
    | ~ aElementOf0(X2,xI)
    | ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0)) ),
    i_0_173 ).

cnf(c_0_226,negated_conjecture,
    iLess0(sbrdtbr0(esk40_1(esk37_0)),sbrdtbr0(esk37_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221])]),c_0_222]) ).

cnf(c_0_227,negated_conjecture,
    aElementOf0(esk40_1(esk37_0),xI),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_219]),c_0_220]),c_0_221])]),c_0_222]) ).

cnf(c_0_228,negated_conjecture,
    esk40_1(esk37_0) != sz00,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_219]),c_0_220]),c_0_221])]),c_0_222]) ).

cnf(c_0_229,hypothesis,
    ( X1 = sz00
    | ~ aElementOf0(X1,xI) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227])]),c_0_228]) ).

cnf(c_0_230,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_227]),c_0_228]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG112+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 05:24:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.58/2.39  # ENIGMATIC: Solved by autoschedule:
% 7.58/2.39  # No SInE strategy applied
% 7.58/2.39  # Trying AutoSched0 for 150 seconds
% 7.58/2.39  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 7.58/2.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.58/2.39  #
% 7.58/2.39  # Preprocessing time       : 0.029 s
% 7.58/2.39  # Presaturation interreduction done
% 7.58/2.39  
% 7.58/2.39  # Proof found!
% 7.58/2.39  # SZS status Theorem
% 7.58/2.39  # SZS output start CNFRefutation
% See solution above
% 7.58/2.39  # Training examples: 0 positive, 0 negative
% 7.58/2.39  
% 7.58/2.39  # -------------------------------------------------
% 7.58/2.39  # User time                : 0.070 s
% 7.58/2.39  # System time              : 0.007 s
% 7.58/2.39  # Total time               : 0.077 s
% 7.58/2.39  # Maximum resident set size: 7120 pages
% 7.58/2.39  
%------------------------------------------------------------------------------