TSTP Solution File: RNG096+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG096+1 : 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 20:24:58 EDT 2022

% Result   : Theorem 8.10s 2.48s
% Output   : CNFRefutation 8.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   28
% Syntax   : Number of clauses     :   95 (  41 unt;   0 nHn;  95 RR)
%            Number of literals    :  209 (  40 equ; 129 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   70 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_54) ).

cnf(i_0_59,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_59) ).

cnf(i_0_60,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_60) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_26) ).

cnf(i_0_65,hypothesis,
    aElementOf0(xb,xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_65) ).

cnf(i_0_66,hypothesis,
    aElementOf0(xa,xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_66) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_10) ).

cnf(i_0_8,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_8) ).

cnf(i_0_2,plain,
    aElement0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_2) ).

cnf(i_0_5,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_5) ).

cnf(i_0_64,hypothesis,
    sdtpldt0(xa,xb) = sz10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_64) ).

cnf(i_0_11,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_11) ).

cnf(i_0_4,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_4) ).

cnf(i_0_12,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_12) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_7) ).

cnf(i_0_3,plain,
    aElement0(sz10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_3) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_9) ).

cnf(i_0_68,negated_conjecture,
    ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_68) ).

cnf(i_0_67,hypothesis,
    sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_67) ).

cnf(i_0_53,plain,
    ( aElementOf0(sdtpldt0(X1,X2),X3)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_53) ).

cnf(i_0_20,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_20) ).

cnf(i_0_63,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_63) ).

cnf(i_0_13,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_13) ).

cnf(i_0_19,plain,
    ( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_19) ).

cnf(i_0_17,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
    | ~ aElement0(X2)
    | ~ aElement0(X3)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_17) ).

cnf(i_0_52,plain,
    ( aElementOf0(sdtasdt0(X1,X2),X3)
    | ~ aElement0(X1)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_52) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_6) ).

cnf(i_0_62,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ohm8eqou/input.p',i_0_62) ).

cnf(c_0_97,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_98,hypothesis,
    aIdeal0(xJ),
    i_0_59 ).

cnf(c_0_99,hypothesis,
    aIdeal0(xI),
    i_0_60 ).

cnf(c_0_100,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_101,hypothesis,
    aElementOf0(xb,xJ),
    i_0_65 ).

cnf(c_0_102,hypothesis,
    aSet0(xJ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_103,hypothesis,
    aElementOf0(xa,xI),
    i_0_66 ).

cnf(c_0_104,hypothesis,
    aSet0(xI),
    inference(spm,[status(thm)],[c_0_97,c_0_99]) ).

cnf(c_0_105,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_106,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_8 ).

cnf(c_0_107,plain,
    aElement0(sz00),
    i_0_2 ).

cnf(c_0_108,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_5 ).

cnf(c_0_109,hypothesis,
    sdtpldt0(xa,xb) = sz10,
    i_0_64 ).

cnf(c_0_110,hypothesis,
    aElement0(xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).

cnf(c_0_111,hypothesis,
    aElement0(xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_103]),c_0_104])]) ).

cnf(c_0_112,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aElement0(X1) ),
    i_0_11 ).

cnf(c_0_113,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    i_0_4 ).

cnf(c_0_114,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]),c_0_108]) ).

cnf(c_0_115,hypothesis,
    ( sdtpldt0(xa,sdtpldt0(xb,X1)) = sdtpldt0(sz10,X1)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_109]),c_0_110]),c_0_111])]) ).

cnf(c_0_116,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_112]),c_0_113]) ).

cnf(c_0_117,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    i_0_12 ).

cnf(c_0_118,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_7 ).

cnf(c_0_119,plain,
    sdtpldt0(sz10,sz00) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_109]),c_0_110]),c_0_111]),c_0_107])]) ).

cnf(c_0_120,plain,
    aElement0(sz10),
    i_0_3 ).

cnf(c_0_121,hypothesis,
    sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_109]),c_0_110]),c_0_111])]) ).

cnf(c_0_122,plain,
    ( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_117]),c_0_113]) ).

cnf(c_0_123,plain,
    sdtpldt0(sz00,sz10) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_107]),c_0_120])]) ).

cnf(c_0_124,plain,
    ( aElement0(sdtpldt0(sz00,xb))
    | ~ aElement0(smndt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_121]),c_0_120])]) ).

cnf(c_0_125,hypothesis,
    sdtpldt0(xa,sdtpldt0(sz00,xb)) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_121]),c_0_123]),c_0_120]),c_0_111])]) ).

cnf(c_0_126,plain,
    aElement0(sdtpldt0(sz00,xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_113]),c_0_111])]) ).

cnf(c_0_127,plain,
    sdtpldt0(sz00,sdtpldt0(sz00,xb)) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_125]),c_0_121]),c_0_126]),c_0_111])]) ).

cnf(c_0_128,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    i_0_9 ).

cnf(c_0_129,negated_conjecture,
    ~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    i_0_68 ).

cnf(c_0_130,hypothesis,
    sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
    i_0_67 ).

cnf(c_0_131,plain,
    sdtpldt0(sz00,xb) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_110])]) ).

cnf(c_0_132,negated_conjecture,
    ~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xx)),xI),
    inference(rw,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_133,hypothesis,
    sdtpldt0(smndt0(xa),sz10) = xb,
    inference(rw,[status(thm)],[c_0_121,c_0_131]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI)
    | ~ aElement0(sdtasdt0(xx,xb))
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(xx)) ),
    inference(spm,[status(thm)],[c_0_132,c_0_106]) ).

cnf(c_0_135,plain,
    ( aElementOf0(sdtpldt0(X1,X2),X3)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,X3) ),
    i_0_53 ).

cnf(c_0_136,plain,
    ( sdtpldt0(sz10,smndt0(xa)) = xb
    | ~ aElement0(smndt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_133]),c_0_120])]) ).

cnf(c_0_137,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(xx,xb))
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(xx)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_99])]) ).

cnf(c_0_138,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aElement0(X1) ),
    i_0_20 ).

cnf(c_0_139,hypothesis,
    aElement0(xx),
    i_0_63 ).

cnf(c_0_140,plain,
    ( sdtpldt0(sz00,smndt0(xa)) = sdtpldt0(smndt0(sz10),xb)
    | ~ aElement0(smndt0(xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_136]),c_0_120])]) ).

cnf(c_0_141,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,xb),sdtasdt0(smndt0(sz10),xx)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(smndt0(sz10),xx))
    | ~ aElement0(sdtasdt0(xx,xb))
    | ~ aElement0(sdtasdt0(xy,xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).

cnf(c_0_142,plain,
    ( smndt0(xa) = sdtpldt0(smndt0(sz10),xb)
    | ~ aElement0(smndt0(xa)) ),
    inference(spm,[status(thm)],[c_0_128,c_0_140]) ).

cnf(c_0_143,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(smndt0(sz10),xx),sdtasdt0(xx,xb)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(smndt0(sz10),xx))
    | ~ aElement0(sdtasdt0(xx,xb))
    | ~ aElement0(sdtasdt0(xy,xa)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_118]) ).

cnf(c_0_144,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_13 ).

cnf(c_0_145,plain,
    ( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
    | ~ aElement0(X1) ),
    i_0_19 ).

cnf(c_0_146,plain,
    smndt0(xa) = sdtpldt0(smndt0(sz10),xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_113]),c_0_111])]) ).

cnf(c_0_147,plain,
    ( ~ aElementOf0(sdtpldt0(sdtasdt0(smndt0(sz10),xx),sdtasdt0(xb,xx)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(smndt0(sz10),xx))
    | ~ aElement0(sdtasdt0(xb,xx))
    | ~ aElement0(sdtasdt0(xy,xa)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_139]),c_0_110])]) ).

cnf(c_0_148,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
    | ~ aElement0(X2)
    | ~ aElement0(X3)
    | ~ aElement0(X1) ),
    i_0_17 ).

cnf(c_0_149,plain,
    sdtpldt0(smndt0(sz10),xb) = sdtasdt0(xa,smndt0(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_111])]) ).

cnf(c_0_150,plain,
    ( aElementOf0(sdtasdt0(X1,X2),X3)
    | ~ aElement0(X1)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X2,X3) ),
    i_0_52 ).

cnf(c_0_151,plain,
    aElement0(sdtpldt0(smndt0(sz10),xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_146]),c_0_111])]) ).

cnf(c_0_152,plain,
    ( ~ aElementOf0(sdtasdt0(sdtasdt0(xa,smndt0(sz10)),xx),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(smndt0(sz10),xx))
    | ~ aElement0(sdtasdt0(xb,xx))
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(sz10)) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_110]),c_0_139])]),c_0_149]) ).

cnf(c_0_153,plain,
    ( aElementOf0(sdtasdt0(X1,X2),X3)
    | ~ aElementOf0(X1,X3)
    | ~ aIdeal0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_144]) ).

cnf(c_0_154,plain,
    aElement0(sdtasdt0(xa,smndt0(sz10))),
    inference(rw,[status(thm)],[c_0_151,c_0_149]) ).

cnf(c_0_155,plain,
    ( ~ aElementOf0(sdtasdt0(xa,smndt0(sz10)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(smndt0(sz10),xx))
    | ~ aElement0(sdtasdt0(xb,xx))
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_99]),c_0_139]),c_0_154])]) ).

cnf(c_0_156,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_157,plain,
    ( ~ aElementOf0(sdtasdt0(xa,smndt0(sz10)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(xb,xx))
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_139])]) ).

cnf(c_0_158,plain,
    ( ~ aElementOf0(sdtasdt0(xa,smndt0(sz10)),xI)
    | ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_156]),c_0_139]),c_0_110])]) ).

cnf(c_0_159,plain,
    ( ~ aElementOf0(sdtasdt0(xy,xa),xI)
    | ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_153]),c_0_103]),c_0_99]),c_0_111])]) ).

cnf(c_0_160,hypothesis,
    aElement0(xy),
    i_0_62 ).

cnf(c_0_161,plain,
    ( ~ aElement0(sdtasdt0(xy,xa))
    | ~ aElement0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_150]),c_0_103]),c_0_99]),c_0_160])]) ).

cnf(c_0_162,plain,
    ~ aElement0(sdtasdt0(xy,xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_113]),c_0_120])]) ).

cnf(c_0_163,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_156]),c_0_111]),c_0_160])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : RNG096+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n018.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 18:52:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.10/2.48  # ENIGMATIC: Solved by autoschedule:
% 8.10/2.48  # No SInE strategy applied
% 8.10/2.48  # Trying AutoSched0 for 150 seconds
% 8.10/2.48  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 8.10/2.48  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.10/2.48  #
% 8.10/2.48  # Preprocessing time       : 0.026 s
% 8.10/2.48  # Presaturation interreduction done
% 8.10/2.48  
% 8.10/2.48  # Proof found!
% 8.10/2.48  # SZS status Theorem
% 8.10/2.48  # SZS output start CNFRefutation
% See solution above
% 8.10/2.48  # Training examples: 0 positive, 0 negative
% 8.10/2.48  
% 8.10/2.48  # -------------------------------------------------
% 8.10/2.48  # User time                : 0.140 s
% 8.10/2.48  # System time              : 0.008 s
% 8.10/2.48  # Total time               : 0.148 s
% 8.10/2.48  # Maximum resident set size: 7120 pages
% 8.10/2.48  
%------------------------------------------------------------------------------