TSTP Solution File: RNG109+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG109+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 15.63s 3.47s
% Output   : CNFRefutation 15.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   46 (  19 unt;   0 nHn;  46 RR)
%            Number of literals    :  101 (  20 equ;  58 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_35,plain,
    ( aElementOf0(X1,X2)
    | X2 != sdtpldt1(X3,X4)
    | sdtpldt0(X5,X6) != X1
    | ~ aSet0(X4)
    | ~ aSet0(X3)
    | ~ aElementOf0(X6,X4)
    | ~ aElementOf0(X5,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_35) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_9) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_26) ).

cnf(i_0_98,hypothesis,
    sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_98) ).

cnf(i_0_103,hypothesis,
    aElementOf0(sz00,slsdtgt0(xa)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_103) ).

cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_54) ).

cnf(i_0_93,plain,
    ( aIdeal0(slsdtgt0(X1))
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_93) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_10) ).

cnf(i_0_94,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_94) ).

cnf(i_0_101,hypothesis,
    aElementOf0(sz00,slsdtgt0(xb)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_101) ).

cnf(i_0_95,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_95) ).

cnf(i_0_104,negated_conjecture,
    ( X1 = sz00
    | ~ aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_104) ).

cnf(i_0_100,hypothesis,
    aElementOf0(xb,slsdtgt0(xb)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_100) ).

cnf(i_0_102,hypothesis,
    aElementOf0(xa,slsdtgt0(xa)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_102) ).

cnf(i_0_96,hypothesis,
    ( sz00 != xa
    | sz00 != xb ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-paps9_zy/input.p',i_0_96) ).

cnf(c_0_120,plain,
    ( aElementOf0(X1,X2)
    | X2 != sdtpldt1(X3,X4)
    | sdtpldt0(X5,X6) != X1
    | ~ aSet0(X4)
    | ~ aSet0(X3)
    | ~ aElementOf0(X6,X4)
    | ~ aElementOf0(X5,X3) ),
    i_0_35 ).

cnf(c_0_121,plain,
    ( aElementOf0(X1,sdtpldt1(X2,X3))
    | sdtpldt0(X4,X5) != X1
    | ~ aSet0(X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(X5,X3)
    | ~ aElementOf0(X4,X2) ),
    inference(er,[status(thm)],[c_0_120]) ).

cnf(c_0_122,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    i_0_9 ).

cnf(c_0_123,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_124,plain,
    ( aElementOf0(X1,sdtpldt1(X2,X3))
    | ~ aSet0(X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(sz00,X2)
    | ~ aElementOf0(X1,X3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122])]),c_0_123]) ).

cnf(c_0_125,hypothesis,
    sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
    i_0_98 ).

cnf(c_0_126,hypothesis,
    aElementOf0(sz00,slsdtgt0(xa)),
    i_0_103 ).

cnf(c_0_127,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_128,plain,
    ( aIdeal0(slsdtgt0(X1))
    | ~ aElement0(X1) ),
    i_0_93 ).

cnf(c_0_129,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_130,hypothesis,
    ( aElementOf0(X1,xI)
    | ~ aSet0(slsdtgt0(xb))
    | ~ aSet0(slsdtgt0(xa))
    | ~ aElementOf0(X1,slsdtgt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]) ).

cnf(c_0_131,plain,
    ( aSet0(slsdtgt0(X1))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_132,hypothesis,
    aElement0(xb),
    i_0_94 ).

cnf(c_0_133,plain,
    ( aElementOf0(X1,sdtpldt1(X2,X3))
    | ~ aSet0(X3)
    | ~ aSet0(X2)
    | ~ aElementOf0(sz00,X3)
    | ~ aElementOf0(X1,X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_129])]),c_0_123]) ).

cnf(c_0_134,hypothesis,
    aElementOf0(sz00,slsdtgt0(xb)),
    i_0_101 ).

cnf(c_0_135,plain,
    ( aElementOf0(X1,xI)
    | ~ aSet0(slsdtgt0(xa))
    | ~ aElementOf0(X1,slsdtgt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).

cnf(c_0_136,hypothesis,
    aElement0(xa),
    i_0_95 ).

cnf(c_0_137,hypothesis,
    ( aElementOf0(X1,xI)
    | ~ aSet0(slsdtgt0(xb))
    | ~ aSet0(slsdtgt0(xa))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_125]),c_0_134])]) ).

cnf(c_0_138,negated_conjecture,
    ( X1 = sz00
    | ~ aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    i_0_104 ).

cnf(c_0_139,plain,
    ( aElementOf0(X1,xI)
    | ~ aElementOf0(X1,slsdtgt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_131]),c_0_136])]) ).

cnf(c_0_140,hypothesis,
    aElementOf0(xb,slsdtgt0(xb)),
    i_0_100 ).

cnf(c_0_141,plain,
    ( aElementOf0(X1,xI)
    | ~ aSet0(slsdtgt0(xa))
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_131]),c_0_132])]) ).

cnf(c_0_142,negated_conjecture,
    ( X1 = sz00
    | ~ aElementOf0(X1,xI) ),
    inference(rw,[status(thm)],[c_0_138,c_0_125]) ).

cnf(c_0_143,hypothesis,
    aElementOf0(xb,xI),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_144,plain,
    ( aElementOf0(X1,xI)
    | ~ aElementOf0(X1,slsdtgt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_131]),c_0_136])]) ).

cnf(c_0_145,hypothesis,
    aElementOf0(xa,slsdtgt0(xa)),
    i_0_102 ).

cnf(c_0_146,hypothesis,
    ( sz00 != xa
    | sz00 != xb ),
    i_0_96 ).

cnf(c_0_147,negated_conjecture,
    xb = sz00,
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_148,hypothesis,
    aElementOf0(xa,xI),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_149,hypothesis,
    xa != sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).

cnf(c_0_150,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_148]),c_0_149]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG109+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon May 30 09:48:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 15.63/3.47  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.63/3.47  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 38; version: 991; iters: 150)
% 15.63/3.47  # Preprocessing time       : 0.879 s
% 15.63/3.47  
% 15.63/3.47  # Proof found!
% 15.63/3.47  # SZS status Theorem
% 15.63/3.47  # SZS output start CNFRefutation
% See solution above
% 15.63/3.47  # Training examples: 0 positive, 0 negative
% 15.63/3.47  
% 15.63/3.47  # -------------------------------------------------
% 15.63/3.47  # User time                : 0.778 s
% 15.63/3.47  # System time              : 0.112 s
% 15.63/3.47  # Total time               : 0.890 s
% 15.63/3.47  # ...preprocessing         : 0.879 s
% 15.63/3.47  # ...main loop             : 0.011 s
% 15.63/3.47  # Maximum resident set size: 167588 pages
% 15.63/3.47  
%------------------------------------------------------------------------------