TSTP Solution File: RNG097+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG097+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 12.42s 2.90s
% Output : CNFRefutation 12.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of clauses : 116 ( 44 unt; 0 nHn; 116 RR)
% Number of literals : 242 ( 55 equ; 134 neg)
% Maximal clause size : 5 ( 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 : 110 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_54,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_54) ).
cnf(i_0_60,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_60) ).
cnf(i_0_59,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_59) ).
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_26) ).
cnf(i_0_66,hypothesis,
aElementOf0(xa,xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_66) ).
cnf(i_0_65,hypothesis,
aElementOf0(xb,xJ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_65) ).
cnf(i_0_64,hypothesis,
sdtpldt0(xa,xb) = sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_64) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_7) ).
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-j2cd7jw6/input.p',i_0_8) ).
cnf(i_0_3,plain,
aElement0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_3) ).
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-j2cd7jw6/input.p',i_0_53) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_10) ).
cnf(i_0_2,plain,
aElement0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_2) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_9) ).
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-j2cd7jw6/input.p',i_0_52) ).
cnf(i_0_21,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_21) ).
cnf(i_0_5,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_5) ).
cnf(i_0_67,hypothesis,
sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_67) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_11) ).
cnf(i_0_4,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_4) ).
cnf(i_0_14,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_14) ).
cnf(i_0_15,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_15) ).
cnf(i_0_6,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_6) ).
cnf(i_0_62,hypothesis,
aElement0(xy),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_62) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_16) ).
cnf(i_0_63,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_63) ).
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/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_18) ).
cnf(i_0_69,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_69) ).
cnf(i_0_20,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j2cd7jw6/input.p',i_0_20) ).
cnf(c_0_99,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_54 ).
cnf(c_0_100,hypothesis,
aIdeal0(xI),
i_0_60 ).
cnf(c_0_101,hypothesis,
aIdeal0(xJ),
i_0_59 ).
cnf(c_0_102,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_103,hypothesis,
aElementOf0(xa,xI),
i_0_66 ).
cnf(c_0_104,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,hypothesis,
aElementOf0(xb,xJ),
i_0_65 ).
cnf(c_0_106,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_99,c_0_101]) ).
cnf(c_0_107,hypothesis,
sdtpldt0(xa,xb) = sz10,
i_0_64 ).
cnf(c_0_108,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_7 ).
cnf(c_0_109,hypothesis,
aElement0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).
cnf(c_0_110,hypothesis,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_105]),c_0_106])]) ).
cnf(c_0_111,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_8 ).
cnf(c_0_112,hypothesis,
sdtpldt0(xb,xa) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_110])]) ).
cnf(c_0_113,plain,
( sdtpldt0(xb,sdtpldt0(xa,X1)) = sdtpldt0(sz10,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_109]),c_0_110])]) ).
cnf(c_0_114,hypothesis,
sdtpldt0(xb,sz10) = sdtpldt0(sz10,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_107]),c_0_110])]) ).
cnf(c_0_115,plain,
aElement0(sz10),
i_0_3 ).
cnf(c_0_116,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(X3)
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X2,X3) ),
i_0_53 ).
cnf(c_0_117,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
i_0_10 ).
cnf(c_0_118,plain,
aElement0(sz00),
i_0_2 ).
cnf(c_0_119,plain,
( sdtpldt0(sdtpldt0(sz10,xb),X1) = sdtpldt0(xb,sdtpldt0(sz10,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_114]),c_0_115]),c_0_110])]) ).
cnf(c_0_120,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElementOf0(X2,X3)
| ~ aElementOf0(X1,X3)
| ~ aIdeal0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_116]),c_0_99]) ).
cnf(c_0_121,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
i_0_9 ).
cnf(c_0_122,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_111,c_0_117]),c_0_118])]) ).
cnf(c_0_123,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aIdeal0(X3)
| ~ aElementOf0(X2,X3) ),
i_0_52 ).
cnf(c_0_124,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aElement0(X1) ),
i_0_21 ).
cnf(c_0_125,plain,
( sdtpldt0(xb,sdtpldt0(sz10,X1)) = sdtpldt0(sz10,sdtpldt0(xb,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_119]),c_0_110]),c_0_115])]) ).
cnf(c_0_126,hypothesis,
( aElement0(sdtpldt0(X1,xb))
| ~ aElementOf0(X1,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_105]),c_0_101])]) ).
cnf(c_0_127,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_111,c_0_121]),c_0_118])]) ).
cnf(c_0_128,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_122,c_0_108]),c_0_118])]) ).
cnf(c_0_129,plain,
( aElementOf0(sz00,X1)
| ~ aElementOf0(X2,X1)
| ~ aIdeal0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_118])]) ).
cnf(c_0_130,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_5 ).
cnf(c_0_131,hypothesis,
sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
i_0_67 ).
cnf(c_0_132,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
i_0_11 ).
cnf(c_0_133,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
i_0_4 ).
cnf(c_0_134,plain,
sdtpldt0(sz10,sdtpldt0(xb,sz00)) = sdtpldt0(sz10,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_117]),c_0_114]),c_0_118]),c_0_115])]) ).
cnf(c_0_135,plain,
( aElement0(sdtpldt0(xb,X1))
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_108]),c_0_110])]) ).
cnf(c_0_136,plain,
( sdtpldt0(sz00,X1) = sdtpldt0(X1,sz00)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_118])]) ).
cnf(c_0_137,hypothesis,
aElementOf0(sz00,xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_105]),c_0_101]),c_0_110])]) ).
cnf(c_0_138,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_14 ).
cnf(c_0_139,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aElement0(X1) ),
i_0_15 ).
cnf(c_0_140,hypothesis,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa)) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_141,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_6 ).
cnf(c_0_142,hypothesis,
aElement0(xy),
i_0_62 ).
cnf(c_0_143,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_132]),c_0_133]) ).
cnf(c_0_144,plain,
sdtpldt0(sz10,sdtpldt0(sz00,xb)) = sdtpldt0(sz10,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_108]),c_0_118]),c_0_110])]) ).
cnf(c_0_145,plain,
aElement0(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_135,c_0_136]),c_0_137]),c_0_118]),c_0_110])]) ).
cnf(c_0_146,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
i_0_16 ).
cnf(c_0_147,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_138,c_0_139]),c_0_115])]) ).
cnf(c_0_148,plain,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_109]),c_0_142])]) ).
cnf(c_0_149,hypothesis,
aElement0(xx),
i_0_63 ).
cnf(c_0_150,plain,
sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xb)) = sdtpldt0(sz00,sdtpldt0(sz00,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_115])]) ).
cnf(c_0_151,plain,
( sdtasdt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_146]),c_0_115])]) ).
cnf(c_0_152,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_153,plain,
( sdtasdt0(sz10,sz00) = sz00
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_124]),c_0_118])]) ).
cnf(c_0_154,plain,
aElement0(xw),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_141]),c_0_110]),c_0_149])]) ).
cnf(c_0_155,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xb)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_150]),c_0_110]),c_0_115])]) ).
cnf(c_0_156,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
i_0_69 ).
cnf(c_0_157,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElementOf0(sdtasdt0(sz10,X2),X3)
| ~ aIdeal0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_151]) ).
cnf(c_0_158,plain,
( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(X1,sdtasdt0(sz10,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_139]),c_0_115])]) ).
cnf(c_0_159,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_160,plain,
( sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz10,X1),X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_139]),c_0_115])]) ).
cnf(c_0_161,plain,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_121]),c_0_110])]) ).
cnf(c_0_162,plain,
( aElement0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_111]),c_0_130]) ).
cnf(c_0_163,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_143,c_0_107]),c_0_110]),c_0_109])]) ).
cnf(c_0_164,negated_conjecture,
( ~ aElementOf0(sdtasdt0(sz10,sdtpldt0(xb,smndt0(sz10))),xI)
| ~ aElement0(sdtpldt0(xb,smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_100]),c_0_149])]) ).
cnf(c_0_165,plain,
( sdtasdt0(sz10,X1) = sdtpldt0(X1,sz00)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_117]),c_0_159]),c_0_118])]) ).
cnf(c_0_166,plain,
sdtasdt0(sz10,xb) = xb,
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_160,c_0_161]),c_0_159]),c_0_161]),c_0_110]),c_0_118])]) ).
cnf(c_0_167,plain,
( aElement0(sdtpldt0(X1,xb))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_161]),c_0_110]),c_0_118])]) ).
cnf(c_0_168,hypothesis,
sdtpldt0(smndt0(xa),sz10) = xb,
inference(rw,[status(thm)],[c_0_163,c_0_161]) ).
cnf(c_0_169,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_123]),c_0_99]) ).
cnf(c_0_170,plain,
( ~ aElementOf0(sdtpldt0(sdtpldt0(xb,smndt0(sz10)),sz00),xI)
| ~ aElement0(sdtpldt0(xb,smndt0(sz10))) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_171,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_108]) ).
cnf(c_0_172,plain,
sdtpldt0(xb,sz00) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_165]),c_0_110])]) ).
cnf(c_0_173,plain,
( aElement0(sdtpldt0(xb,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_108]),c_0_110])]) ).
cnf(c_0_174,plain,
( sdtpldt0(sz10,smndt0(xa)) = xb
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_168]),c_0_115])]) ).
cnf(c_0_175,hypothesis,
( aElement0(sdtasdt0(X1,xa))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_103]),c_0_100])]) ).
cnf(c_0_176,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
i_0_20 ).
cnf(c_0_177,plain,
( ~ aElementOf0(sdtpldt0(smndt0(sz10),xb),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_118]),c_0_110])]),c_0_173]) ).
cnf(c_0_178,plain,
( sdtpldt0(smndt0(sz10),xb) = sdtpldt0(sz00,smndt0(xa))
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_174]),c_0_115])]) ).
cnf(c_0_179,plain,
( aElement0(smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_109])]) ).
cnf(c_0_180,plain,
( ~ aElementOf0(sdtpldt0(sz00,smndt0(xa)),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_181,hypothesis,
aElementOf0(sz00,xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_103]),c_0_100]),c_0_109])]) ).
cnf(c_0_182,plain,
( ~ aElementOf0(smndt0(xa),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_116]),c_0_181]),c_0_100])]) ).
cnf(c_0_183,plain,
( aElementOf0(smndt0(X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_176]) ).
cnf(c_0_184,plain,
~ 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_182,c_0_183]),c_0_103]),c_0_100]),c_0_109])]) ).
cnf(c_0_185,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_133]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG097+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 17:59:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 12.42/2.90 # ENIGMATIC: Solved by autoschedule:
% 12.42/2.90 # No SInE strategy applied
% 12.42/2.90 # Trying AutoSched0 for 150 seconds
% 12.42/2.90 # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 12.42/2.90 # and selection function PSelectComplexExceptRRHorn.
% 12.42/2.90 #
% 12.42/2.90 # Preprocessing time : 0.013 s
% 12.42/2.90 # Presaturation interreduction done
% 12.42/2.90
% 12.42/2.90 # Proof found!
% 12.42/2.90 # SZS status Theorem
% 12.42/2.90 # SZS output start CNFRefutation
% See solution above
% 12.42/2.90 # Training examples: 0 positive, 0 negative
% 12.42/2.90
% 12.42/2.90 # -------------------------------------------------
% 12.42/2.90 # User time : 0.651 s
% 12.42/2.90 # System time : 0.027 s
% 12.42/2.90 # Total time : 0.678 s
% 12.42/2.90 # Maximum resident set size: 7124 pages
% 12.42/2.90
%------------------------------------------------------------------------------