TSTP Solution File: COM019+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM019+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 : Fri Jul 15 01:07:00 EDT 2022
% Result : Theorem 8.65s 2.52s
% Output : CNFRefutation 8.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of clauses : 66 ( 33 unt; 5 nHn; 66 RR)
% Number of literals : 200 ( 4 equ; 134 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 90 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_7) ).
cnf(i_0_3,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_3) ).
cnf(i_0_56,hypothesis,
aReductOfIn0(xu,xa,xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_56) ).
cnf(i_0_44,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_44) ).
cnf(i_0_49,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_49) ).
cnf(i_0_38,plain,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ isTerminating0(X3)
| ~ sdtmndtplgtdt0(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_38) ).
cnf(i_0_45,hypothesis,
isTerminating0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_45) ).
cnf(i_0_57,hypothesis,
aElement0(xu),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_57) ).
cnf(i_0_41,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aNormalFormOfIn0(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_41) ).
cnf(i_0_64,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_64) ).
cnf(i_0_63,hypothesis,
aElement0(xw),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_63) ).
cnf(i_0_42,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aNormalFormOfIn0(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_42) ).
cnf(i_0_51,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_51) ).
cnf(i_0_15,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_15) ).
cnf(i_0_52,hypothesis,
( aElement0(esk14_3(X1,X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_52) ).
cnf(i_0_55,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_55) ).
cnf(i_0_48,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_48) ).
cnf(i_0_62,hypothesis,
sdtmndtasgtdt0(xu,xR,xw),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_62) ).
cnf(i_0_50,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_50) ).
cnf(i_0_14,plain,
( X1 = X2
| sdtmndtplgtdt0(X1,X3,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ sdtmndtasgtdt0(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_14) ).
cnf(i_0_40,plain,
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X4,X2)
| ~ aNormalFormOfIn0(X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_40) ).
cnf(i_0_9,plain,
( aReductOfIn0(X1,X2,X3)
| aReductOfIn0(esk1_3(X2,X3,X1),X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ sdtmndtplgtdt0(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_9) ).
cnf(i_0_65,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-62ph8rx1/input.p',i_0_65) ).
cnf(c_0_89,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
i_0_7 ).
cnf(c_0_90,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3) ),
i_0_3 ).
cnf(c_0_91,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_92,hypothesis,
aReductOfIn0(xu,xa,xR),
i_0_56 ).
cnf(c_0_93,hypothesis,
aRewritingSystem0(xR),
i_0_44 ).
cnf(c_0_94,hypothesis,
aElement0(xa),
i_0_49 ).
cnf(c_0_95,plain,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ isTerminating0(X3)
| ~ sdtmndtplgtdt0(X2,X3,X1) ),
i_0_38 ).
cnf(c_0_96,hypothesis,
sdtmndtplgtdt0(xa,xR,xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94])]) ).
cnf(c_0_97,hypothesis,
isTerminating0(xR),
i_0_45 ).
cnf(c_0_98,hypothesis,
aElement0(xu),
i_0_57 ).
cnf(c_0_99,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aNormalFormOfIn0(X3,X1,X2) ),
i_0_41 ).
cnf(c_0_100,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
i_0_64 ).
cnf(c_0_101,hypothesis,
aElement0(xw),
i_0_63 ).
cnf(c_0_102,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aNormalFormOfIn0(X1,X2,X3) ),
i_0_42 ).
cnf(c_0_103,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
i_0_51 ).
cnf(c_0_104,plain,
iLess0(xu,xa),
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_95,c_0_96]),c_0_97]),c_0_93]),c_0_94]),c_0_98])]) ).
cnf(c_0_105,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4) ),
i_0_15 ).
cnf(c_0_106,hypothesis,
sdtmndtasgtdt0(xw,xR,xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_93]),c_0_101])]) ).
cnf(c_0_107,hypothesis,
aElement0(xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_100]),c_0_93]),c_0_101])]) ).
cnf(c_0_108,hypothesis,
( aElement0(esk14_3(X1,X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2) ),
i_0_52 ).
cnf(c_0_109,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,X1,X2))
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_98])]) ).
cnf(c_0_110,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
i_0_55 ).
cnf(c_0_111,hypothesis,
aElement0(xb),
i_0_48 ).
cnf(c_0_112,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_93]),c_0_101]),c_0_107])]) ).
cnf(c_0_113,hypothesis,
sdtmndtasgtdt0(xu,xR,xw),
i_0_62 ).
cnf(c_0_114,hypothesis,
( aElement0(esk14_3(xu,X1,X2))
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_104]),c_0_98])]) ).
cnf(c_0_115,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
i_0_50 ).
cnf(c_0_116,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,X1,xb))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_117,hypothesis,
sdtmndtasgtdt0(xu,xR,xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_98])]) ).
cnf(c_0_118,hypothesis,
( aElement0(esk14_3(xu,X1,xb))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_110]),c_0_111])]) ).
cnf(c_0_119,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,X2,X1))
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_104]),c_0_98])]) ).
cnf(c_0_120,plain,
( X1 = X2
| sdtmndtplgtdt0(X1,X3,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ sdtmndtasgtdt0(X1,X3,X2) ),
i_0_14 ).
cnf(c_0_121,hypothesis,
sdtmndtasgtdt0(xd,xR,esk14_3(xu,xd,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_107])]) ).
cnf(c_0_122,hypothesis,
aElement0(esk14_3(xu,xd,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_117]),c_0_107])]) ).
cnf(c_0_123,plain,
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X4,X2)
| ~ aNormalFormOfIn0(X4,X1,X2) ),
i_0_40 ).
cnf(c_0_124,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,xd,X1))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_117]),c_0_107])]) ).
cnf(c_0_125,plain,
( aReductOfIn0(X1,X2,X3)
| aReductOfIn0(esk1_3(X2,X3,X1),X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ sdtmndtplgtdt0(X2,X3,X1) ),
i_0_9 ).
cnf(c_0_126,plain,
( esk14_3(xu,xd,xb) = xd
| sdtmndtplgtdt0(xd,xR,esk14_3(xu,xd,xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_93]),c_0_122]),c_0_107])]) ).
cnf(c_0_127,hypothesis,
~ aReductOfIn0(X1,xd,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_100]),c_0_93]),c_0_101])]) ).
cnf(c_0_128,hypothesis,
sdtmndtasgtdt0(xb,xR,esk14_3(xu,xd,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_110]),c_0_111])]) ).
cnf(c_0_129,plain,
esk14_3(xu,xd,xb) = xd,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_126]),c_0_93]),c_0_107]),c_0_122])]),c_0_127]),c_0_127]) ).
cnf(c_0_130,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
i_0_65 ).
cnf(c_0_131,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_130]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM019+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 20:15:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 8.65/2.52 # ENIGMATIC: Solved by autoschedule:
% 8.65/2.52 # No SInE strategy applied
% 8.65/2.52 # Trying AutoSched0 for 150 seconds
% 8.65/2.52 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.65/2.52 # and selection function SelectNewComplexAHPNS.
% 8.65/2.52 #
% 8.65/2.52 # Preprocessing time : 0.024 s
% 8.65/2.52
% 8.65/2.52 # Proof found!
% 8.65/2.52 # SZS status Theorem
% 8.65/2.52 # SZS output start CNFRefutation
% See solution above
% 8.65/2.52 # Training examples: 0 positive, 0 negative
% 8.65/2.52
% 8.65/2.52 # -------------------------------------------------
% 8.65/2.52 # User time : 0.117 s
% 8.65/2.52 # System time : 0.009 s
% 8.65/2.52 # Total time : 0.126 s
% 8.65/2.52 # Maximum resident set size: 7124 pages
% 8.65/2.52
%------------------------------------------------------------------------------