TSTP Solution File: RNG051+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG051+1 : 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 20:24:48 EDT 2022
% Result : Theorem 110.47s 15.40s
% Output : CNFRefutation 110.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of clauses : 143 ( 67 unt; 7 nHn; 143 RR)
% Number of literals : 302 ( 78 equ; 155 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 116 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_53,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_53) ).
cnf(i_0_60,negated_conjecture,
aVector0(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_60) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_14) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_34) ).
cnf(i_0_59,negated_conjecture,
aDimensionOf0(esk4_0) = aDimensionOf0(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_59) ).
cnf(i_0_56,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_56) ).
cnf(i_0_37,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_37) ).
cnf(i_0_21,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_21) ).
cnf(i_0_18,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_18) ).
cnf(i_0_11,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_11) ).
cnf(i_0_61,negated_conjecture,
aVector0(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_61) ).
cnf(i_0_38,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_38) ).
cnf(i_0_19,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_19) ).
cnf(i_0_20,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_20) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_13) ).
cnf(i_0_23,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_23) ).
cnf(i_0_35,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_35) ).
cnf(i_0_31,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_31) ).
cnf(i_0_24,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_24) ).
cnf(i_0_42,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_42) ).
cnf(i_0_39,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_39) ).
cnf(i_0_17,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_17) ).
cnf(i_0_43,plain,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_43) ).
cnf(i_0_57,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_57) ).
cnf(i_0_22,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_22) ).
cnf(i_0_30,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_30) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_16) ).
cnf(i_0_15,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xj0icr_6/input.p',i_0_15) ).
cnf(c_0_90,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
i_0_53 ).
cnf(c_0_91,plain,
( aScalar0(sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_92,negated_conjecture,
aVector0(esk4_0),
i_0_60 ).
cnf(c_0_93,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_94,negated_conjecture,
aScalar0(sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
i_0_34 ).
cnf(c_0_96,plain,
aScalar0(smndt0(sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
aDimensionOf0(esk4_0) = aDimensionOf0(esk3_0),
i_0_59 ).
cnf(c_0_98,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
i_0_56 ).
cnf(c_0_99,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3) ),
i_0_37 ).
cnf(c_0_100,plain,
sdtlseqdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),smndt0(sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
i_0_21 ).
cnf(c_0_102,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
i_0_18 ).
cnf(c_0_103,plain,
aScalar0(sz0z00),
i_0_11 ).
cnf(c_0_104,negated_conjecture,
( aScalar0(sdtasasdt0(X1,esk4_0))
| aDimensionOf0(X1) != aDimensionOf0(esk3_0)
| ~ aVector0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_97]),c_0_92])]) ).
cnf(c_0_105,negated_conjecture,
aVector0(esk3_0),
i_0_61 ).
cnf(c_0_106,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2) ),
i_0_38 ).
cnf(c_0_107,plain,
sdtlseqdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_95,c_0_94]) ).
cnf(c_0_108,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_98,c_0_92]) ).
cnf(c_0_109,plain,
( sdtlseqdt0(sdtpldt0(X1,smndt0(sdtasasdt0(esk4_0,esk4_0))),sdtpldt0(X2,smndt0(sdtasasdt0(esk4_0,esk4_0))))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_96])]) ).
cnf(c_0_110,plain,
sdtpldt0(sz0z00,smndt0(sdtasasdt0(esk4_0,esk4_0))) = smndt0(sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_101,c_0_96]) ).
cnf(c_0_111,plain,
sdtpldt0(sdtasasdt0(esk4_0,esk4_0),smndt0(sdtasasdt0(esk4_0,esk4_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_102,c_0_94]) ).
cnf(c_0_112,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_19 ).
cnf(c_0_113,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(spm,[status(thm)],[c_0_95,c_0_103]) ).
cnf(c_0_114,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_20 ).
cnf(c_0_115,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_116,negated_conjecture,
aScalar0(sdtasasdt0(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_104]),c_0_105])]) ).
cnf(c_0_117,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_118,plain,
( sdtlseqdt0(sdtasdt0(X1,sdtasasdt0(esk4_0,esk4_0)),sdtasdt0(X2,sdtasasdt0(esk4_0,esk4_0)))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_94])]) ).
cnf(c_0_119,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sz0z00),
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_109,c_0_108]),c_0_110]),c_0_111]),c_0_94]),c_0_103])]) ).
cnf(c_0_120,plain,
sdtasdt0(sz0z00,sdtasasdt0(esk4_0,esk4_0)) = sz0z00,
inference(spm,[status(thm)],[c_0_112,c_0_94]) ).
cnf(c_0_121,negated_conjecture,
( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,sdtasasdt0(esk4_0,esk4_0)))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_108]),c_0_113]),c_0_94]),c_0_103])]) ).
cnf(c_0_122,plain,
sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_114,c_0_96]) ).
cnf(c_0_123,plain,
( aScalar0(sdtasdt0(X1,sdtasasdt0(esk4_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_94]) ).
cnf(c_0_124,plain,
( aScalar0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_125,negated_conjecture,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_94]) ).
cnf(c_0_126,plain,
( X1 = X2
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_35 ).
cnf(c_0_127,plain,
sdtlseqdt0(sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_103]),c_0_96])]) ).
cnf(c_0_128,plain,
sdtlseqdt0(sz0z00,sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_100]),c_0_122]),c_0_96])]) ).
cnf(c_0_129,plain,
aScalar0(sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_123,c_0_96]) ).
cnf(c_0_130,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_124,c_0_116]) ).
cnf(c_0_131,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_132,plain,
( sdtasdt0(X1,smndt0(sdtasasdt0(esk4_0,esk4_0))) = sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_96]) ).
cnf(c_0_133,plain,
sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_129]),c_0_103])]) ).
cnf(c_0_134,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_135,plain,
( aScalar0(sdtasdt0(X1,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_130]) ).
cnf(c_0_136,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
i_0_42 ).
cnf(c_0_137,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
i_0_39 ).
cnf(c_0_138,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_17 ).
cnf(c_0_139,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_123,c_0_94]) ).
cnf(c_0_140,negated_conjecture,
( smndt0(sdtasdt0(X1,sdtasasdt0(esk4_0,esk4_0))) = sdtasdt0(X1,smndt0(sdtasasdt0(esk4_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_94]) ).
cnf(c_0_141,negated_conjecture,
sdtasdt0(sdtasasdt0(esk4_0,esk4_0),smndt0(sdtasasdt0(esk4_0,esk4_0))) = sz0z00,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_94]),c_0_133]) ).
cnf(c_0_142,plain,
( sdtasdt0(sdtasdt0(X1,X2),sdtasasdt0(esk3_0,esk4_0)) = sdtasdt0(X1,sdtasdt0(X2,sdtasasdt0(esk3_0,esk4_0)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_116]) ).
cnf(c_0_143,negated_conjecture,
( sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0)) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_116]) ).
cnf(c_0_144,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_135,c_0_116]) ).
cnf(c_0_145,plain,
sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_95,c_0_130]) ).
cnf(c_0_146,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_136,c_0_116]) ).
cnf(c_0_147,plain,
( sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_103]) ).
cnf(c_0_148,plain,
( X1 = X2
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_43 ).
cnf(c_0_149,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_114,c_0_103]) ).
cnf(c_0_150,plain,
sdtpldt0(smndt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_151,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))) = sz0z00,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_94]),c_0_141]) ).
cnf(c_0_152,plain,
sdtpldt0(sz0z00,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))) = sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_101,c_0_139]) ).
cnf(c_0_153,negated_conjecture,
( sdtasdt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0)),sdtasasdt0(esk3_0,esk4_0)) = sdtasdt0(X1,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_116]) ).
cnf(c_0_154,negated_conjecture,
sdtasdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasasdt0(esk3_0,esk4_0)) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_143,c_0_130]) ).
cnf(c_0_155,negated_conjecture,
sdtasdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),sdtasasdt0(esk3_0,esk4_0)) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_156,plain,
( sdtlseqdt0(sdtasdt0(X1,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),sdtasdt0(X2,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_145]),c_0_146]),c_0_130])]) ).
cnf(c_0_157,negated_conjecture,
( sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0))
| sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),sz0z00) ),
inference(spm,[status(thm)],[c_0_147,c_0_116]) ).
cnf(c_0_158,plain,
sdtasdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_112,c_0_130]) ).
cnf(c_0_159,plain,
( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_146]),c_0_113]),c_0_103])]),c_0_130])]) ).
cnf(c_0_160,plain,
sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_95,c_0_116]) ).
cnf(c_0_161,plain,
sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_114,c_0_116]) ).
cnf(c_0_162,plain,
( X1 = sz0z00
| sdtasdt0(X1,X1) != sz0z00
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_113]),c_0_103])]) ).
cnf(c_0_163,plain,
sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
cnf(c_0_164,negated_conjecture,
aScalar0(sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_91,c_0_105]) ).
cnf(c_0_165,negated_conjecture,
sdtasdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_130]),c_0_154]),c_0_155]) ).
cnf(c_0_166,negated_conjecture,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),sz0z00)
| sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]),c_0_103]),c_0_116])]) ).
cnf(c_0_167,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_116])]) ).
cnf(c_0_168,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))),
i_0_57 ).
cnf(c_0_169,plain,
sdtasasdt0(esk4_0,esk4_0) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_108]),c_0_94])]) ).
cnf(c_0_170,plain,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_114,c_0_164]) ).
cnf(c_0_171,plain,
( sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)) = sz0z00
| sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_165]),c_0_146]),c_0_130])]) ).
cnf(c_0_172,plain,
( sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sz0z00
| sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_166]),c_0_167]),c_0_144]),c_0_103])]) ).
cnf(c_0_173,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sz0z00),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_174,plain,
( sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)) = sz0z00
| sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_161])]) ).
cnf(c_0_175,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_113])]) ).
cnf(c_0_176,plain,
aScalar0(smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_93,c_0_116]) ).
cnf(c_0_177,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
i_0_22 ).
cnf(c_0_178,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_179,plain,
( smndt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0))) = sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_116]) ).
cnf(c_0_180,plain,
( sdtlseqdt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(X2,sdtasasdt0(esk3_0,esk4_0)))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_160]),c_0_116])]) ).
cnf(c_0_181,plain,
( sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,sdtasasdt0(esk3_0,esk4_0)))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_175]),c_0_116]),c_0_103])]) ).
cnf(c_0_182,plain,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_95,c_0_176]) ).
cnf(c_0_183,plain,
sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sz0z00) = smndt0(sdtasasdt0(esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_177,c_0_176]) ).
cnf(c_0_184,plain,
sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sdtasasdt0(esk3_0,esk4_0)) = sz0z00,
inference(spm,[status(thm)],[c_0_138,c_0_116]) ).
cnf(c_0_185,plain,
( smndt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0))) = sdtasdt0(smndt0(X1),sdtasasdt0(esk3_0,esk4_0))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_116]) ).
cnf(c_0_186,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_179,c_0_116]) ).
cnf(c_0_187,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_188,plain,
( sdtlseqdt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(X2,sdtasasdt0(esk3_0,esk4_0)))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_175])]) ).
cnf(c_0_189,plain,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]),c_0_184]),c_0_176])]) ).
cnf(c_0_190,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sdtasasdt0(esk3_0,esk4_0)) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_116]),c_0_186]) ).
cnf(c_0_191,plain,
sdtasdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)) = sz0z00,
inference(spm,[status(thm)],[c_0_112,c_0_116]) ).
cnf(c_0_192,plain,
( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,sdtasasdt0(esk3_0,esk4_0)))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_175]),c_0_113]),c_0_116]),c_0_103])]) ).
cnf(c_0_193,plain,
sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_114,c_0_176]) ).
cnf(c_0_194,plain,
( aScalar0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk4_0))))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_176]) ).
cnf(c_0_195,plain,
smndt0(smndt0(sdtasasdt0(esk3_0,esk4_0))) = sdtasasdt0(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_187,c_0_116]) ).
cnf(c_0_196,plain,
sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0))),sz0z00),
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_188,c_0_189]),c_0_190]),c_0_191]),c_0_103]),c_0_176])]) ).
cnf(c_0_197,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_182]),c_0_193]),c_0_190]),c_0_176])]) ).
cnf(c_0_198,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_194,c_0_116]) ).
cnf(c_0_199,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
i_0_15 ).
cnf(c_0_200,plain,
smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0)))) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_176]),c_0_195]),c_0_190]) ).
cnf(c_0_201,plain,
sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0))) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_196]),c_0_197]),c_0_198]),c_0_103])]) ).
cnf(c_0_202,plain,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_199,c_0_103]) ).
cnf(c_0_203,plain,
sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).
cnf(c_0_204,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_203]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG051+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n028.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 12:13:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 110.47/15.40 # ENIGMATIC: Solved by autoschedule:
% 110.47/15.40 # No SInE strategy applied
% 110.47/15.40 # Trying AutoSched0 for 150 seconds
% 110.47/15.40 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S2i
% 110.47/15.40 # and selection function SelectGrCQArEqFirst.
% 110.47/15.40 #
% 110.47/15.40 # Preprocessing time : 0.013 s
% 110.47/15.40 # Presaturation interreduction done
% 110.47/15.40
% 110.47/15.40 # Proof found!
% 110.47/15.40 # SZS status Theorem
% 110.47/15.40 # SZS output start CNFRefutation
% See solution above
% 110.47/15.40 # Training examples: 0 positive, 0 negative
% 110.47/15.40
% 110.47/15.40 # -------------------------------------------------
% 110.47/15.40 # User time : 12.041 s
% 110.47/15.40 # System time : 0.665 s
% 110.47/15.40 # Total time : 12.706 s
% 110.47/15.40 # Maximum resident set size: 7120 pages
% 110.47/15.40
%------------------------------------------------------------------------------