TSTP Solution File: RNG090+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG090+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 20:24:57 EDT 2022

% Result   : Theorem 9.70s 2.55s
% Output   : CNFRefutation 9.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   41
% Syntax   : Number of clauses     :  174 (  77 unt;   0 nHn; 174 RR)
%            Number of literals    :  381 ( 111 equ; 215 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-4 aty)
%            Number of variables   :  200 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_14) ).

cnf(i_0_15,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_15) ).

cnf(i_0_3,plain,
    aElement0(sz10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_3) ).

cnf(i_0_21,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_21) ).

cnf(i_0_2,plain,
    aElement0(sz00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_2) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_9) ).

cnf(i_0_12,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_12) ).

cnf(i_0_18,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_18) ).

cnf(i_0_16,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_16) ).

cnf(i_0_57,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_57) ).

cnf(i_0_4,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_4) ).

cnf(i_0_38,plain,
    ( aElementOf0(esk3_4(X1,X2,X3,X4),X1)
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_38) ).

cnf(i_0_37,plain,
    ( aElementOf0(esk4_4(X1,X2,X3,X4),X2)
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_37) ).

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-gnk2cst3/lgb.p',i_0_35) ).

cnf(i_0_39,plain,
    ( aSet0(X1)
    | X1 != sdtpldt1(X2,X3)
    | ~ aSet0(X3)
    | ~ aSet0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_39) ).

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-gnk2cst3/lgb.p',i_0_8) ).

cnf(i_0_36,plain,
    ( sdtpldt0(esk3_4(X1,X2,X3,X4),esk4_4(X1,X2,X3,X4)) = X4
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_36) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_26) ).

cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_54) ).

cnf(i_0_55,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_55) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_6) ).

cnf(i_0_5,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_5) ).

cnf(i_0_22,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_22) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_10) ).

cnf(i_0_59,hypothesis,
    aElementOf0(xx,sdtpldt1(xI,xJ)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_59) ).

cnf(i_0_60,hypothesis,
    sdtpldt0(xk,xl) = xx,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_60) ).

cnf(i_0_56,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_56) ).

cnf(i_0_13,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_13) ).

cnf(i_0_61,hypothesis,
    aElementOf0(xl,xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_61) ).

cnf(i_0_52,plain,
    ( aElementOf0(sdtasdt0(X1,X2),X3)
    | ~ aElement0(X1)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_52) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_7) ).

cnf(i_0_62,hypothesis,
    aElementOf0(xk,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_62) ).

cnf(i_0_11,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_11) ).

cnf(i_0_58,hypothesis,
    aElementOf0(xy,sdtpldt1(xI,xJ)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_58) ).

cnf(i_0_63,hypothesis,
    sdtpldt0(xm,xn) = xy,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_63) ).

cnf(i_0_64,hypothesis,
    aElementOf0(xn,xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_64) ).

cnf(i_0_68,hypothesis,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_68) ).

cnf(i_0_65,hypothesis,
    aElementOf0(xm,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_65) ).

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/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_17) ).

cnf(i_0_70,negated_conjecture,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) != sdtpldt0(xx,xy),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_70) ).

cnf(i_0_66,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gnk2cst3/lgb.p',i_0_66) ).

cnf(c_0_112,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_14 ).

cnf(c_0_113,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aElement0(X1) ),
    i_0_15 ).

cnf(c_0_114,plain,
    aElement0(sz10),
    i_0_3 ).

cnf(c_0_115,plain,
    ( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114])]) ).

cnf(c_0_116,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aElement0(X1) ),
    i_0_21 ).

cnf(c_0_117,plain,
    aElement0(sz00),
    i_0_2 ).

cnf(c_0_118,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    i_0_9 ).

cnf(c_0_119,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aElement0(X1) ),
    i_0_12 ).

cnf(c_0_120,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_18 ).

cnf(c_0_121,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aElement0(X1) ),
    i_0_16 ).

cnf(c_0_122,plain,
    ( sdtasdt0(sz10,sz00) = sz00
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]) ).

cnf(c_0_123,hypothesis,
    aElement0(xz),
    i_0_57 ).

cnf(c_0_124,plain,
    ( smndt0(sz00) = sz00
    | ~ aElement0(smndt0(sz00)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_117])]) ).

cnf(c_0_125,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    i_0_4 ).

cnf(c_0_126,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_114])]) ).

cnf(c_0_127,hypothesis,
    sdtasdt0(sz10,sz00) = sz00,
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_128,plain,
    ( aElementOf0(esk3_4(X1,X2,X3,X4),X1)
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X4,X3) ),
    i_0_38 ).

cnf(c_0_129,plain,
    ( aElementOf0(esk4_4(X1,X2,X3,X4),X2)
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X4,X3) ),
    i_0_37 ).

cnf(c_0_130,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_131,plain,
    ( aSet0(X1)
    | X1 != sdtpldt1(X2,X3)
    | ~ aSet0(X3)
    | ~ aSet0(X2) ),
    i_0_39 ).

cnf(c_0_132,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_117])]) ).

cnf(c_0_133,hypothesis,
    sdtasdt0(sz10,sdtpldt0(sz00,sz10)) = sdtpldt0(sz00,sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_117]),c_0_114])]) ).

cnf(c_0_134,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_8 ).

cnf(c_0_135,plain,
    ( sdtpldt0(esk3_4(X1,X2,X3,X4),esk4_4(X1,X2,X3,X4)) = X4
    | X3 != sdtpldt1(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X4,X3) ),
    i_0_36 ).

cnf(c_0_136,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_137,plain,
    ( aElementOf0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),X1)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
    inference(er,[status(thm)],[c_0_128]) ).

cnf(c_0_138,plain,
    ( aElementOf0(esk4_4(X1,X2,sdtpldt1(X1,X2),X3),X2)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
    inference(er,[status(thm)],[c_0_129]) ).

cnf(c_0_139,plain,
    ( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))
    | ~ aSet0(X4)
    | ~ aSet0(X3)
    | ~ aElementOf0(X2,X4)
    | ~ aElementOf0(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_130])]) ).

cnf(c_0_140,plain,
    ( aSet0(sdtpldt1(X1,X2))
    | ~ aSet0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_131]) ).

cnf(c_0_141,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_142,hypothesis,
    aIdeal0(xJ),
    i_0_55 ).

cnf(c_0_143,plain,
    sdtpldt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_132]),c_0_117])]) ).

cnf(c_0_144,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_145,plain,
    sdtasdt0(sz10,sz10) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_118]),c_0_114])]) ).

cnf(c_0_146,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_5 ).

cnf(c_0_147,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aElement0(X1) ),
    i_0_22 ).

cnf(c_0_148,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_149,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_118]),c_0_117])]) ).

cnf(c_0_150,plain,
    ( sdtpldt0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),esk4_4(X1,X2,sdtpldt1(X1,X2),X3)) = X3
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
    inference(er,[status(thm)],[c_0_135]) ).

cnf(c_0_151,plain,
    ( aElement0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3))
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_152,plain,
    ( aElement0(esk4_4(X1,X2,sdtpldt1(X1,X2),X3))
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_136,c_0_138]) ).

cnf(c_0_153,hypothesis,
    aElementOf0(xx,sdtpldt1(xI,xJ)),
    i_0_59 ).

cnf(c_0_154,hypothesis,
    sdtpldt0(xk,xl) = xx,
    i_0_60 ).

cnf(c_0_155,hypothesis,
    aIdeal0(xI),
    i_0_56 ).

cnf(c_0_156,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_13 ).

cnf(c_0_157,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aSet0(X3)
    | ~ aSet0(X4)
    | ~ aElementOf0(X2,X3)
    | ~ aElementOf0(X1,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_139]),c_0_140]) ).

cnf(c_0_158,hypothesis,
    aElementOf0(xl,xJ),
    i_0_61 ).

cnf(c_0_159,hypothesis,
    aSet0(xJ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_160,plain,
    ( aElementOf0(sdtasdt0(X1,X2),X3)
    | ~ aElement0(X1)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X2,X3) ),
    i_0_52 ).

cnf(c_0_161,plain,
    ( sdtpldt0(sz00,sdtpldt0(sz00,X1)) = sdtpldt0(sz00,X1)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_143]),c_0_117])]) ).

cnf(c_0_162,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_7 ).

cnf(c_0_163,plain,
    ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X4) = sdtpldt0(sdtasdt0(X1,X2),sdtpldt0(sdtasdt0(X1,X3),X4))
    | ~ aElement0(X4)
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_120]),c_0_144]),c_0_144]) ).

cnf(c_0_164,plain,
    sdtasdt0(sz10,sdtpldt0(sz10,sz10)) = sdtpldt0(sz10,sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_145]),c_0_114])]) ).

cnf(c_0_165,plain,
    ( aElement0(sdtasdt0(X1,sdtpldt0(X2,X3)))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_120]),c_0_144]),c_0_144]) ).

cnf(c_0_166,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sz00) = sdtasdt0(X1,sdtpldt0(X2,sz00))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_147]),c_0_117])]) ).

cnf(c_0_167,plain,
    ( sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_148]),c_0_117])]) ).

cnf(c_0_168,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aSet0(X2)
    | ~ aSet0(X3)
    | ~ aElementOf0(X1,sdtpldt1(X3,X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]) ).

cnf(c_0_169,hypothesis,
    aElementOf0(sdtpldt0(xk,xl),sdtpldt1(xI,xJ)),
    inference(rw,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_170,hypothesis,
    aSet0(xI),
    inference(spm,[status(thm)],[c_0_141,c_0_155]) ).

cnf(c_0_171,plain,
    ( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_116]),c_0_117])]) ).

cnf(c_0_172,plain,
    sdtasdt0(sz00,sz10) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_127]),c_0_117]),c_0_114])]) ).

cnf(c_0_173,hypothesis,
    ( aElement0(sdtpldt0(X1,xl))
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159])]) ).

cnf(c_0_174,hypothesis,
    aElementOf0(xk,xI),
    i_0_62 ).

cnf(c_0_175,hypothesis,
    ( aElementOf0(sdtasdt0(X1,X2),xJ)
    | ~ aElementOf0(X2,xJ)
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_142]) ).

cnf(c_0_176,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,sz00)) = sdtpldt0(X1,sz00)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_117])]) ).

cnf(c_0_177,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_134]),c_0_146]) ).

cnf(c_0_178,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aElement0(X1) ),
    i_0_11 ).

cnf(c_0_179,plain,
    ( sdtpldt0(sdtpldt0(sz10,sz10),X1) = sdtpldt0(sz10,sdtpldt0(sz10,X1))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_145]),c_0_145]),c_0_114])]) ).

cnf(c_0_180,plain,
    aElement0(sdtpldt0(sz10,sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_164]),c_0_114])]) ).

cnf(c_0_181,plain,
    sdtasdt0(sz10,sdtpldt0(sz10,sz00)) = sdtpldt0(sz10,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_145]),c_0_114])]) ).

cnf(c_0_182,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_162]),c_0_117])]) ).

cnf(c_0_183,hypothesis,
    aElementOf0(xy,sdtpldt1(xI,xJ)),
    i_0_58 ).

cnf(c_0_184,hypothesis,
    sdtpldt0(xm,xn) = xy,
    i_0_63 ).

cnf(c_0_185,hypothesis,
    aElementOf0(xn,xJ),
    i_0_64 ).

cnf(c_0_186,plain,
    ( sdtpldt0(sdtasdt0(sz00,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_116]),c_0_117])]) ).

cnf(c_0_187,hypothesis,
    sdtpldt0(sz00,sdtpldt0(xk,xl)) = sdtpldt0(xk,xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_159]),c_0_170])]) ).

cnf(c_0_188,plain,
    sdtasdt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_172]),c_0_114]),c_0_117])]) ).

cnf(c_0_189,hypothesis,
    aElement0(sdtpldt0(xk,xl)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_170])]) ).

cnf(c_0_190,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElementOf0(X2,xJ)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_175]),c_0_159])]) ).

cnf(c_0_191,hypothesis,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    i_0_68 ).

cnf(c_0_192,plain,
    ( sdtpldt0(sz00,sdtpldt0(sz00,X1)) = sdtpldt0(X1,sz00)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_117])]) ).

cnf(c_0_193,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_178]),c_0_125]) ).

cnf(c_0_194,plain,
    sdtpldt0(sz10,sdtpldt0(sz10,sz00)) = sdtpldt0(sz10,sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_179]),c_0_180]),c_0_117])]) ).

cnf(c_0_195,plain,
    aElement0(sdtpldt0(sz10,sz00)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_181]),c_0_117]),c_0_114])]) ).

cnf(c_0_196,plain,
    ( sdtpldt0(sz00,X1) = sdtpldt0(X1,sz00)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_182]),c_0_117])]) ).

cnf(c_0_197,hypothesis,
    aElementOf0(sdtpldt0(xm,xn),sdtpldt1(xI,xJ)),
    inference(rw,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_198,hypothesis,
    ( aElement0(sdtpldt0(X1,xn))
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_185]),c_0_159])]) ).

cnf(c_0_199,hypothesis,
    aElementOf0(xm,xI),
    i_0_65 ).

cnf(c_0_200,plain,
    ( sdtpldt0(sz00,sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X2,X1))
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_116]),c_0_117])]) ).

cnf(c_0_201,plain,
    sdtasdt0(sz00,sdtpldt0(xk,xl)) = sz00,
    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_186,c_0_187]),c_0_188]),c_0_143]),c_0_189]),c_0_117])]) ).

cnf(c_0_202,hypothesis,
    aElement0(xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_158]),c_0_159])]) ).

cnf(c_0_203,hypothesis,
    aElement0(xk),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_174]),c_0_170])]) ).

cnf(c_0_204,hypothesis,
    ( aElement0(sdtasdt0(X1,sdtasdt0(xz,xl)))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_205,plain,
    ( sdtpldt0(sz00,sdtpldt0(sz00,X1)) = X1
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_192]) ).

cnf(c_0_206,plain,
    sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10)) = sdtpldt0(sz00,sdtpldt0(sz10,sz00)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]),c_0_114])]) ).

cnf(c_0_207,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(sz00,X1)) = sz00
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_196]),c_0_143]),c_0_117])]) ).

cnf(c_0_208,hypothesis,
    sdtpldt0(sz00,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_197]),c_0_159]),c_0_170])]) ).

cnf(c_0_209,hypothesis,
    aElement0(sdtpldt0(xm,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_170])]) ).

cnf(c_0_210,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_211,plain,
    sdtpldt0(sz00,sdtasdt0(sz00,xl)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]),c_0_203])]) ).

cnf(c_0_212,plain,
    aElement0(sdtasdt0(sz00,xl)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_171]),c_0_117]),c_0_202]),c_0_123])]) ).

cnf(c_0_213,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,sz00)) = X1
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_205]),c_0_117])]) ).

cnf(c_0_214,plain,
    sdtpldt0(sz00,sdtpldt0(sz10,sz00)) = sdtpldt0(sz00,sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_206]),c_0_114])]) ).

cnf(c_0_215,plain,
    ( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_119]),c_0_125]) ).

cnf(c_0_216,plain,
    sdtpldt0(smndt0(sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209])]) ).

cnf(c_0_217,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),X2) = sdtasdt0(sdtpldt0(X1,sz10),X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_113]),c_0_114])]) ).

cnf(c_0_218,plain,
    sdtasdt0(sz00,xl) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_211]),c_0_212])]) ).

cnf(c_0_219,plain,
    sdtpldt0(sz00,sz10) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_114])]) ).

cnf(c_0_220,negated_conjecture,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) != sdtpldt0(xx,xy),
    i_0_70 ).

cnf(c_0_221,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(spm,[status(thm)],[c_0_134,c_0_162]) ).

cnf(c_0_222,plain,
    sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_208]),c_0_209])]) ).

cnf(c_0_223,hypothesis,
    aElement0(xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_199]),c_0_170])]) ).

cnf(c_0_224,hypothesis,
    aElement0(xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_185]),c_0_159])]) ).

cnf(c_0_225,plain,
    sdtpldt0(sz00,xl) = sdtasdt0(sz10,xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_202]),c_0_117])]) ).

cnf(c_0_226,negated_conjecture,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) != sdtpldt0(sdtpldt0(xk,xl),sdtpldt0(xm,xn)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_154]),c_0_184]) ).

cnf(c_0_227,plain,
    sdtpldt0(xn,sdtpldt0(xm,sz00)) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_117]),c_0_223]),c_0_224])]) ).

cnf(c_0_228,plain,
    ( aElement0(sdtpldt0(sz00,X1))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_196]),c_0_117])]) ).

cnf(c_0_229,plain,
    sdtasdt0(sz10,xl) = xl,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_225]),c_0_202])]) ).

cnf(c_0_230,negated_conjecture,
    ( sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(xk,xl),sdtpldt0(xm,xn))
    | ~ aElement0(sdtpldt0(xl,xn))
    | ~ aElement0(xm)
    | ~ aElement0(xk) ),
    inference(spm,[status(thm)],[c_0_226,c_0_134]) ).

cnf(c_0_231,plain,
    sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_227]),c_0_223]),c_0_224])]) ).

cnf(c_0_232,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(sz00,X2),X1)
    | ~ aElement0(X1)
    | ~ aElement0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_167]),c_0_228]) ).

cnf(c_0_233,plain,
    sdtpldt0(sz00,xl) = xl,
    inference(rw,[status(thm)],[c_0_225,c_0_229]) ).

cnf(c_0_234,negated_conjecture,
    ( sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(xk,xl),sdtpldt0(xm,xn))
    | ~ aElement0(sdtpldt0(xl,xn))
    | ~ aElement0(xk) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_223])]) ).

cnf(c_0_235,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    i_0_66 ).

cnf(c_0_236,plain,
    ( sdtpldt0(sdtpldt0(xm,xn),X1) = sdtpldt0(xn,sdtpldt0(xm,X1))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_231]),c_0_223]),c_0_224])]) ).

cnf(c_0_237,plain,
    ( sdtpldt0(X1,xl) = sdtpldt0(xl,X1)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_202])]) ).

cnf(c_0_238,negated_conjecture,
    ( sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(xk,xl),sdtpldt0(xm,xn))
    | ~ aElement0(sdtpldt0(xl,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_203])]) ).

cnf(c_0_239,hypothesis,
    aElement0(sdtpldt0(xl,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_235]),c_0_159])]) ).

cnf(c_0_240,plain,
    sdtpldt0(xn,sdtpldt0(xm,xl)) = sdtpldt0(xl,sdtpldt0(xm,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_202]),c_0_209])]) ).

cnf(c_0_241,negated_conjecture,
    sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(xk,xl),sdtpldt0(xm,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239])]) ).

cnf(c_0_242,plain,
    sdtpldt0(xm,sdtpldt0(xl,xn)) = sdtpldt0(xl,sdtpldt0(xm,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_240]),c_0_224]),c_0_202]),c_0_223])]) ).

cnf(c_0_243,negated_conjecture,
    sdtpldt0(sdtpldt0(xk,xl),sdtpldt0(xm,xn)) != sdtpldt0(xk,sdtpldt0(xl,sdtpldt0(xm,xn))),
    inference(rw,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_244,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_134]),c_0_209]),c_0_202]),c_0_203])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG090+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon May 30 10:19:44 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 9.70/2.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.70/2.55  # No SInE strategy applied
% 9.70/2.55  # Trying AutoSched0 for 150 seconds
% 9.70/2.55  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 9.70/2.55  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.70/2.55  #
% 9.70/2.55  # Preprocessing time       : 0.024 s
% 9.70/2.55  # Presaturation interreduction done
% 9.70/2.55  
% 9.70/2.55  # Proof found!
% 9.70/2.55  # SZS status Theorem
% 9.70/2.55  # SZS output start CNFRefutation
% See solution above
% 9.70/2.55  # Training examples: 0 positive, 0 negative
% 9.70/2.55  
% 9.70/2.55  # -------------------------------------------------
% 9.70/2.55  # User time                : 0.263 s
% 9.70/2.55  # System time              : 0.016 s
% 9.70/2.55  # Total time               : 0.279 s
% 9.70/2.55  # Maximum resident set size: 7124 pages
% 9.70/2.55  
%------------------------------------------------------------------------------