TSTP Solution File: RNG111+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG111+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 8.17s 2.41s
% Output   : CNFRefutation 8.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   41 (  16 unt;  17 nHn;  41 RR)
%            Number of literals    :  122 (  49 equ;  68 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_181,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk43_1(X1),xI)
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_181) ).

cnf(i_0_180,negated_conjecture,
    ( X1 = sz00
    | esk43_1(X1) != sz00
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_180) ).

cnf(i_0_189,negated_conjecture,
    ( X1 = sz00
    | sdtpldt0(esk41_1(X1),esk42_1(X1)) = esk40_1(X1)
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_189) ).

cnf(i_0_191,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk41_1(X1),slsdtgt0(xa))
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_191) ).

cnf(i_0_190,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk42_1(X1),slsdtgt0(xb))
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_190) ).

cnf(i_0_201,negated_conjecture,
    sdtpldt0(esk38_0,esk39_0) = esk37_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_201) ).

cnf(i_0_202,negated_conjecture,
    aElementOf0(esk39_0,slsdtgt0(xb)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_202) ).

cnf(i_0_203,negated_conjecture,
    aElementOf0(esk38_0,slsdtgt0(xa)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_203) ).

cnf(i_0_199,negated_conjecture,
    sz00 != esk37_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_199) ).

cnf(i_0_187,negated_conjecture,
    ( X1 = sz00
    | esk40_1(X1) != sz00
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_187) ).

cnf(i_0_173,negated_conjecture,
    ( X1 = sz00
    | iLess0(sbrdtbr0(esk43_1(X1)),sbrdtbr0(X1))
    | ~ aElementOf0(X1,xI) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_173) ).

cnf(i_0_200,negated_conjecture,
    aElementOf0(esk37_0,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_200) ).

cnf(i_0_185,negated_conjecture,
    ( X1 = sz00
    | X2 = sz00
    | ~ aElementOf0(X1,xI)
    | ~ aElementOf0(X2,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
    | ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk40_1(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_185) ).

cnf(i_0_188,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk40_1(X1),xI)
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1i70wji8/lgb.p',i_0_188) ).

cnf(c_0_218,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk43_1(X1),xI)
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    i_0_181 ).

cnf(c_0_219,negated_conjecture,
    ( X1 = sz00
    | esk43_1(X1) != sz00
    | sdtpldt0(X2,X3) != X1
    | ~ aElementOf0(X3,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa)) ),
    i_0_180 ).

cnf(c_0_220,negated_conjecture,
    ( X1 = sz00
    | sdtpldt0(esk41_1(X1),esk42_1(X1)) = esk40_1(X1)
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    i_0_189 ).

cnf(c_0_221,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk41_1(X1),slsdtgt0(xa))
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    i_0_191 ).

cnf(c_0_222,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk42_1(X1),slsdtgt0(xb))
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    i_0_190 ).

cnf(c_0_223,negated_conjecture,
    ( sdtpldt0(X1,X2) = sz00
    | aElementOf0(esk43_1(sdtpldt0(X1,X2)),xI)
    | ~ aElementOf0(X2,slsdtgt0(xb))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(er,[status(thm)],[c_0_218]) ).

cnf(c_0_224,negated_conjecture,
    sdtpldt0(esk38_0,esk39_0) = esk37_0,
    i_0_201 ).

cnf(c_0_225,negated_conjecture,
    aElementOf0(esk39_0,slsdtgt0(xb)),
    i_0_202 ).

cnf(c_0_226,negated_conjecture,
    aElementOf0(esk38_0,slsdtgt0(xa)),
    i_0_203 ).

cnf(c_0_227,negated_conjecture,
    sz00 != esk37_0,
    i_0_199 ).

cnf(c_0_228,negated_conjecture,
    ( sdtpldt0(X1,X2) = sz00
    | esk43_1(sdtpldt0(X1,X2)) != sz00
    | ~ aElementOf0(X2,slsdtgt0(xb))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(er,[status(thm)],[c_0_219]) ).

cnf(c_0_229,negated_conjecture,
    ( X1 = sz00
    | esk40_1(X1) != sz00
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    i_0_187 ).

cnf(c_0_230,negated_conjecture,
    ( X1 = sz00
    | iLess0(sbrdtbr0(esk43_1(X1)),sbrdtbr0(X1))
    | ~ aElementOf0(X1,xI) ),
    i_0_173 ).

cnf(c_0_231,negated_conjecture,
    aElementOf0(esk37_0,xI),
    i_0_200 ).

cnf(c_0_232,negated_conjecture,
    ( X1 = sz00
    | X2 = sz00
    | aElementOf0(esk43_1(X2),xI)
    | esk40_1(X1) != X2
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
    | ~ aElementOf0(X1,xI) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_220]),c_0_221]),c_0_222]) ).

cnf(c_0_233,negated_conjecture,
    aElementOf0(esk43_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_224]),c_0_225]),c_0_226])]),c_0_227]) ).

cnf(c_0_234,negated_conjecture,
    esk43_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_228,c_0_224]),c_0_225]),c_0_226])]),c_0_227]) ).

cnf(c_0_235,negated_conjecture,
    ( esk43_1(esk37_0) = sz00
    | esk40_1(esk43_1(esk37_0)) != sz00
    | ~ aElementOf0(esk43_1(esk37_0),xI) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231])]),c_0_227]) ).

cnf(c_0_236,negated_conjecture,
    ( X1 = sz00
    | X2 = sz00
    | ~ aElementOf0(X1,xI)
    | ~ aElementOf0(X2,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
    | ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk40_1(X1))) ),
    i_0_185 ).

cnf(c_0_237,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk40_1(X1),xI)
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0)) ),
    i_0_188 ).

cnf(c_0_238,negated_conjecture,
    ( X1 = sz00
    | esk43_1(esk40_1(X1)) != sz00
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
    | ~ aElementOf0(X1,xI) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_220]),c_0_221]),c_0_222]),c_0_229]) ).

cnf(c_0_239,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk43_1(X1),xI)
    | esk40_1(esk43_1(esk37_0)) != X1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_230]),c_0_233]),c_0_231])]),c_0_234]),c_0_227]) ).

cnf(c_0_240,negated_conjecture,
    esk40_1(esk43_1(esk37_0)) != sz00,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_233])]),c_0_234]) ).

cnf(c_0_241,negated_conjecture,
    ( X1 = sz00
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
    | ~ aElementOf0(esk43_1(esk40_1(X1)),xI)
    | ~ aElementOf0(X1,xI) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_230]),c_0_237]),c_0_229]),c_0_238]) ).

cnf(c_0_242,negated_conjecture,
    aElementOf0(esk43_1(esk40_1(esk43_1(esk37_0))),xI),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_239]),c_0_240]) ).

cnf(c_0_243,negated_conjecture,
    ~ iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_233])]),c_0_234]) ).

cnf(c_0_244,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_230]),c_0_231])]),c_0_227]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG111+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n028.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 10:05:06 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.17/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.17/2.41  # No SInE strategy applied
% 8.17/2.41  # Trying AutoSched0 for 150 seconds
% 8.17/2.41  # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 8.17/2.41  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.17/2.41  #
% 8.17/2.41  # Preprocessing time       : 0.025 s
% 8.17/2.41  
% 8.17/2.41  # Proof found!
% 8.17/2.41  # SZS status Theorem
% 8.17/2.41  # SZS output start CNFRefutation
% See solution above
% 8.17/2.41  # Training examples: 0 positive, 0 negative
% 8.17/2.41  
% 8.17/2.41  # -------------------------------------------------
% 8.17/2.41  # User time                : 0.040 s
% 8.17/2.41  # System time              : 0.004 s
% 8.17/2.41  # Total time               : 0.044 s
% 8.17/2.41  # Maximum resident set size: 7124 pages
% 8.17/2.41  
%------------------------------------------------------------------------------