%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 01:06:56 EDT 2022
% Result : Theorem 8.46s 2.48s
% Output : CNFRefutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 12 unt; 3 nHn; 39 RR)
% Number of literals : 118 ( 7 equ; 80 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 50 ( 2 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-q7octtub/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-q7octtub/input.p',i_0_3) ).
cnf(i_0_53,negated_conjecture,
( aReductOfIn0(esk16_1(X1),X1,xR)
| esk13_0 != X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_53) ).
cnf(i_0_62,negated_conjecture,
aElement0(esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_62) ).
cnf(i_0_6,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X4,X1,X2)
| ~ sdtmndtplgtdt0(X4,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_6) ).
cnf(i_0_47,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_47) ).
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-q7octtub/input.p',i_0_38) ).
cnf(i_0_43,hypothesis,
isTerminating0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_43) ).
cnf(i_0_55,negated_conjecture,
( ~ aElement0(X1)
| ~ iLess0(X1,esk13_0)
| ~ aReductOfIn0(X2,esk14_1(X1),xR) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_55) ).
cnf(i_0_50,negated_conjecture,
( aReductOfIn0(esk16_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_50) ).
cnf(i_0_61,negated_conjecture,
( aElement0(esk14_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_61) ).
cnf(i_0_57,negated_conjecture,
( esk14_1(X1) = X1
| sdtmndtplgtdt0(X1,xR,esk14_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_57) ).
cnf(i_0_52,negated_conjecture,
( aReductOfIn0(esk16_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,esk13_0,xR) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q7octtub/input.p',i_0_52) ).
cnf(c_0_76,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
i_0_7 ).
cnf(c_0_77,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3) ),
i_0_3 ).
cnf(c_0_78,negated_conjecture,
( aReductOfIn0(esk16_1(X1),X1,xR)
| esk13_0 != X1
| ~ aElement0(X1) ),
i_0_53 ).
cnf(c_0_79,negated_conjecture,
aElement0(esk13_0),
i_0_62 ).
cnf(c_0_80,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X4,X1,X2)
| ~ sdtmndtplgtdt0(X4,X2,X3) ),
i_0_6 ).
cnf(c_0_81,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
aReductOfIn0(esk16_1(esk13_0),esk13_0,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_79])]) ).
cnf(c_0_83,hypothesis,
aRewritingSystem0(xR),
i_0_47 ).
cnf(c_0_84,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ aReductOfIn0(X4,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[c_0_80,c_0_77]) ).
cnf(c_0_85,plain,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ isTerminating0(X3)
| ~ sdtmndtplgtdt0(X2,X3,X1) ),
i_0_38 ).
cnf(c_0_86,plain,
sdtmndtplgtdt0(esk13_0,xR,esk16_1(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_79])]) ).
cnf(c_0_87,hypothesis,
isTerminating0(xR),
i_0_43 ).
cnf(c_0_88,plain,
aElement0(esk16_1(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_82]),c_0_83]),c_0_79])]) ).
cnf(c_0_89,negated_conjecture,
( ~ aElement0(X1)
| ~ iLess0(X1,esk13_0)
| ~ aReductOfIn0(X2,esk14_1(X1),xR) ),
i_0_55 ).
cnf(c_0_90,negated_conjecture,
( aReductOfIn0(esk16_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(esk13_0,xR,X1) ),
i_0_50 ).
cnf(c_0_91,negated_conjecture,
( aElement0(esk14_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
i_0_61 ).
cnf(c_0_92,plain,
( sdtmndtplgtdt0(esk13_0,xR,X1)
| ~ sdtmndtplgtdt0(esk16_1(esk13_0),xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_82]),c_0_83]),c_0_79])]) ).
cnf(c_0_93,negated_conjecture,
( esk14_1(X1) = X1
| sdtmndtplgtdt0(X1,xR,esk14_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk13_0) ),
i_0_57 ).
cnf(c_0_94,plain,
iLess0(esk16_1(esk13_0),esk13_0),
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_85,c_0_86]),c_0_87]),c_0_83]),c_0_79]),c_0_88])]) ).
cnf(c_0_95,negated_conjecture,
( ~ sdtmndtplgtdt0(esk13_0,xR,esk14_1(X1))
| ~ iLess0(X1,esk13_0)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_96,negated_conjecture,
( esk14_1(esk16_1(esk13_0)) = esk16_1(esk13_0)
| sdtmndtplgtdt0(esk13_0,xR,esk14_1(esk16_1(esk13_0)))
| ~ aElement0(esk14_1(esk16_1(esk13_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_88])]) ).
cnf(c_0_97,negated_conjecture,
( aReductOfIn0(esk16_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,esk13_0,xR) ),
i_0_52 ).
cnf(c_0_98,negated_conjecture,
( esk14_1(esk16_1(esk13_0)) = esk16_1(esk13_0)
| ~ aElement0(esk14_1(esk16_1(esk13_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_94]),c_0_88])]) ).
cnf(c_0_99,negated_conjecture,
( ~ aReductOfIn0(esk14_1(X1),esk13_0,xR)
| ~ iLess0(X1,esk13_0)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_97]),c_0_91]) ).
cnf(c_0_100,negated_conjecture,
esk14_1(esk16_1(esk13_0)) = esk16_1(esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_91]),c_0_94]),c_0_88])]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_82]),c_0_94]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 17:06:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.46/2.48 # ENIGMATIC: Solved by autoschedule:
% 8.46/2.48 # No SInE strategy applied
% 8.46/2.48 # Trying AutoSched0 for 150 seconds
% 8.46/2.48 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 8.46/2.48 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.46/2.48 #
% 8.46/2.48 # Preprocessing time : 0.014 s
% 8.46/2.48
% 8.46/2.48 # Proof found!
% 8.46/2.48 # SZS status Theorem
% 8.46/2.48 # SZS output start CNFRefutation
% See solution above
% 8.46/2.48 # Training examples: 0 positive, 0 negative
% 8.46/2.48
% 8.46/2.48 # -------------------------------------------------
% 8.46/2.48 # User time : 0.021 s
% 8.46/2.48 # System time : 0.006 s
% 8.46/2.48 # Total time : 0.027 s
% 8.46/2.48 # Maximum resident set size: 7120 pages
% 8.46/2.48
%------------------------------------------------------------------------------