%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : COM022+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 01:07:01 EDT 2022
% Result : Theorem 7.76s 2.45s
% Output : CNFRefutation 7.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 47 ( 16 unt; 15 nHn; 47 RR)
% Number of literals : 119 ( 25 equ; 57 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( X1 = X2
| sdtmndtplgtdt0(X1,X3,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ sdtmndtasgtdt0(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_14) ).
cnf(i_0_55,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_55) ).
cnf(i_0_44,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_44) ).
cnf(i_0_48,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_48) ).
cnf(i_0_49,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_49) ).
cnf(i_0_57,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk18_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_57) ).
cnf(i_0_54,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_54) ).
cnf(i_0_47,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_47) ).
cnf(i_0_58,negated_conjecture,
( aNormalFormOfIn0(esk18_0,esk17_0,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_58) ).
cnf(i_0_61,negated_conjecture,
( aElement0(esk17_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_61) ).
cnf(i_0_56,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk18_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_56) ).
cnf(i_0_13,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| X1 != X3
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_13) ).
cnf(i_0_53,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ sdtmndtasgtdt0(xc,xR,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_53) ).
cnf(i_0_42,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aNormalFormOfIn0(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j02nh8yz/lgb.p',i_0_42) ).
cnf(c_0_76,plain,
( X1 = X2
| sdtmndtplgtdt0(X1,X3,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ sdtmndtasgtdt0(X1,X3,X2) ),
i_0_14 ).
cnf(c_0_77,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
i_0_55 ).
cnf(c_0_78,hypothesis,
aRewritingSystem0(xR),
i_0_44 ).
cnf(c_0_79,hypothesis,
aElement0(xb),
i_0_48 ).
cnf(c_0_80,hypothesis,
aElement0(xa),
i_0_49 ).
cnf(c_0_81,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk18_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
i_0_57 ).
cnf(c_0_82,negated_conjecture,
( xb = xa
| sdtmndtplgtdt0(xa,xR,xb) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]),c_0_80])]) ).
cnf(c_0_83,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
i_0_54 ).
cnf(c_0_84,hypothesis,
aElement0(xc),
i_0_47 ).
cnf(c_0_85,negated_conjecture,
( aNormalFormOfIn0(esk18_0,esk17_0,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
i_0_58 ).
cnf(c_0_86,negated_conjecture,
( aElement0(esk17_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
i_0_61 ).
cnf(c_0_87,negated_conjecture,
( xb = xa
| sdtmndtasgtdt0(xb,xR,esk18_0)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,negated_conjecture,
( xc = xa
| sdtmndtplgtdt0(xa,xR,xc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_83]),c_0_78]),c_0_84]),c_0_80])]) ).
cnf(c_0_89,negated_conjecture,
( xb = xa
| aNormalFormOfIn0(esk18_0,esk17_0,xR)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[c_0_85,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( xb = xa
| aElement0(esk17_0)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[c_0_86,c_0_82]) ).
cnf(c_0_91,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk18_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
i_0_56 ).
cnf(c_0_92,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| X1 != X3
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2) ),
i_0_13 ).
cnf(c_0_93,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ sdtmndtasgtdt0(xc,xR,X1) ),
i_0_53 ).
cnf(c_0_94,negated_conjecture,
( xc = xa
| xb = xa
| sdtmndtasgtdt0(xb,xR,esk18_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aNormalFormOfIn0(X1,X2,X3) ),
i_0_42 ).
cnf(c_0_96,negated_conjecture,
( xc = xa
| xb = xa
| aNormalFormOfIn0(esk18_0,esk17_0,xR) ),
inference(spm,[status(thm)],[c_0_89,c_0_88]) ).
cnf(c_0_97,negated_conjecture,
( xc = xa
| xb = xa
| aElement0(esk17_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_88]) ).
cnf(c_0_98,negated_conjecture,
( xb = xa
| sdtmndtasgtdt0(xc,xR,esk18_0)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[c_0_91,c_0_82]) ).
cnf(c_0_99,plain,
( sdtmndtasgtdt0(X1,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( xb = xa
| xc = xa
| ~ aElement0(esk18_0)
| ~ sdtmndtasgtdt0(xc,xR,esk18_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,plain,
( xb = xa
| xc = xa
| aElement0(esk18_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_78])]),c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( xc = xa
| xb = xa
| sdtmndtasgtdt0(xc,xR,esk18_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_88]) ).
cnf(c_0_103,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_99]),c_0_79]),c_0_78])]) ).
cnf(c_0_104,negated_conjecture,
( xc = xa
| xb = xa ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_105,negated_conjecture,
xb = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_77])]) ).
cnf(c_0_106,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xa,xR,X1)
| ~ sdtmndtasgtdt0(xc,xR,X1) ),
inference(rw,[status(thm)],[c_0_93,c_0_105]) ).
cnf(c_0_107,negated_conjecture,
~ sdtmndtasgtdt0(xc,xR,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_83]),c_0_84])]) ).
cnf(c_0_108,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_99]),c_0_78]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COM022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 20:12:07 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.23/0.48 # ENIGMATIC: Selected complete mode:
% 7.76/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.76/2.45 # No SInE strategy applied
% 7.76/2.45 # Trying AutoSched0 for 150 seconds
% 7.76/2.45 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.76/2.45 # and selection function PSelectNewComplexAHP.
% 7.76/2.45 #
% 7.76/2.45 # Preprocessing time : 0.014 s
% 7.76/2.45 # Presaturation interreduction done
% 7.76/2.45
% 7.76/2.45 # Proof found!
% 7.76/2.45 # SZS status Theorem
% 7.76/2.45 # SZS output start CNFRefutation
% See solution above
% 7.76/2.45 # Training examples: 0 positive, 0 negative
% 7.76/2.45
% 7.76/2.45 # -------------------------------------------------
% 7.76/2.45 # User time : 0.018 s
% 7.76/2.45 # System time : 0.011 s
% 7.76/2.45 # Total time : 0.028 s
% 7.76/2.45 # Maximum resident set size: 7120 pages
% 7.76/2.45
%------------------------------------------------------------------------------