TSTP Solution File: SEU284+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU284+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 : Tue Jul 19 08:40:24 EDT 2022
% Result : Theorem 8.65s 2.71s
% Output : CNFRefutation 8.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 58 ( 6 unt; 27 nHn; 51 RR)
% Number of literals : 164 ( 109 equ; 86 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 79 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_718,lemma,
( relation_dom(esk175_1(X1)) = X1
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_718) ).
cnf(i_0_710,lemma,
( relation_dom(esk175_1(X1)) = X1
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_710) ).
cnf(i_0_702,lemma,
( relation_dom(esk175_1(X1)) = X1
| esk173_1(X1) != esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_702) ).
cnf(i_0_717,lemma,
( apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| X3 != unordered_pair(esk174_1(X1),esk174_1(X1))
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_717) ).
cnf(i_0_733,negated_conjecture,
( relation_dom(X1) != esk176_0
| apply(X1,esk177_1(X1)) != unordered_pair(esk177_1(X1),esk177_1(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_733) ).
cnf(i_0_720,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| relation(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_720) ).
cnf(i_0_719,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| function(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_719) ).
cnf(i_0_709,lemma,
( apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| X3 != unordered_pair(esk174_1(X1),esk174_1(X1))
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_709) ).
cnf(i_0_734,negated_conjecture,
( in(esk177_1(X1),esk176_0)
| relation_dom(X1) != esk176_0
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_734) ).
cnf(i_0_712,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| relation(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_712) ).
cnf(i_0_711,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| function(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_711) ).
cnf(i_0_703,lemma,
( function(esk175_1(X1))
| esk173_1(X1) != esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_703) ).
cnf(i_0_704,lemma,
( relation(esk175_1(X1))
| esk173_1(X1) != esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_704) ).
cnf(i_0_701,lemma,
( apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| esk173_1(X1) != esk172_1(X1)
| X3 != unordered_pair(esk174_1(X1),esk174_1(X1))
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w3hefimn/lgb.p',i_0_701) ).
cnf(c_0_749,lemma,
( relation_dom(esk175_1(X1)) = X1
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_718 ).
cnf(c_0_750,lemma,
( relation_dom(esk175_1(X1)) = X1
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_710 ).
cnf(c_0_751,lemma,
( relation_dom(esk175_1(X1)) = X1
| esk173_1(X1) != esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_702 ).
cnf(c_0_752,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| relation_dom(esk175_1(X1)) = X1 ),
inference(er,[status(thm)],[c_0_749]) ).
cnf(c_0_753,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| relation_dom(esk175_1(X1)) = X1 ),
inference(er,[status(thm)],[c_0_750]) ).
cnf(c_0_754,lemma,
( relation_dom(esk175_1(X1)) = X1
| esk172_1(X1) != esk173_1(X1) ),
inference(er,[status(thm)],[c_0_751]) ).
cnf(c_0_755,lemma,
( apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| X3 != unordered_pair(esk174_1(X1),esk174_1(X1))
| ~ in(X2,X1) ),
i_0_717 ).
cnf(c_0_756,negated_conjecture,
( relation_dom(X1) != esk176_0
| apply(X1,esk177_1(X1)) != unordered_pair(esk177_1(X1),esk177_1(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_733 ).
cnf(c_0_757,lemma,
relation_dom(esk175_1(X1)) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_753]),c_0_754]) ).
cnf(c_0_758,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| relation(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_720 ).
cnf(c_0_759,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| function(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_719 ).
cnf(c_0_760,lemma,
( apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| X3 != unordered_pair(esk174_1(X1),esk174_1(X1))
| ~ in(X2,X1) ),
i_0_709 ).
cnf(c_0_761,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_755]) ).
cnf(c_0_762,negated_conjecture,
( in(esk177_1(X1),esk176_0)
| relation_dom(X1) != esk176_0
| ~ function(X1)
| ~ relation(X1) ),
i_0_734 ).
cnf(c_0_763,negated_conjecture,
( unordered_pair(esk177_1(esk175_1(esk176_0)),esk177_1(esk175_1(esk176_0))) != apply(esk175_1(esk176_0),esk177_1(esk175_1(esk176_0)))
| ~ relation(esk175_1(esk176_0))
| ~ function(esk175_1(esk176_0)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_757])]) ).
cnf(c_0_764,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| relation(esk175_1(X1)) ),
inference(er,[status(thm)],[c_0_758]) ).
cnf(c_0_765,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk172_1(X1)
| function(esk175_1(X1)) ),
inference(er,[status(thm)],[c_0_759]) ).
cnf(c_0_766,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| relation(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_712 ).
cnf(c_0_767,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| function(esk175_1(X1))
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_711 ).
cnf(c_0_768,lemma,
( function(esk175_1(X1))
| esk173_1(X1) != esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_703 ).
cnf(c_0_769,lemma,
( relation(esk175_1(X1))
| esk173_1(X1) != esk172_1(X1)
| X2 != unordered_pair(esk174_1(X1),esk174_1(X1)) ),
i_0_704 ).
cnf(c_0_770,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_760]) ).
cnf(c_0_771,negated_conjecture,
( apply(esk175_1(esk176_0),esk177_1(X1)) = unordered_pair(esk177_1(X1),esk177_1(X1))
| unordered_pair(esk171_1(esk176_0),esk171_1(esk176_0)) = esk172_1(esk176_0)
| relation_dom(X1) != esk176_0
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_761,c_0_762]) ).
cnf(c_0_772,lemma,
( unordered_pair(esk171_1(esk176_0),esk171_1(esk176_0)) = esk172_1(esk176_0)
| unordered_pair(esk177_1(esk175_1(esk176_0)),esk177_1(esk175_1(esk176_0))) != apply(esk175_1(esk176_0),esk177_1(esk175_1(esk176_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_764]),c_0_765]) ).
cnf(c_0_773,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| relation(esk175_1(X1)) ),
inference(er,[status(thm)],[c_0_766]) ).
cnf(c_0_774,lemma,
( unordered_pair(esk171_1(X1),esk171_1(X1)) = esk173_1(X1)
| function(esk175_1(X1)) ),
inference(er,[status(thm)],[c_0_767]) ).
cnf(c_0_775,lemma,
( function(esk175_1(X1))
| esk172_1(X1) != esk173_1(X1) ),
inference(er,[status(thm)],[c_0_768]) ).
cnf(c_0_776,lemma,
( relation(esk175_1(X1))
| esk172_1(X1) != esk173_1(X1) ),
inference(er,[status(thm)],[c_0_769]) ).
cnf(c_0_777,negated_conjecture,
( apply(esk175_1(esk176_0),esk177_1(X1)) = unordered_pair(esk177_1(X1),esk177_1(X1))
| unordered_pair(esk171_1(esk176_0),esk171_1(esk176_0)) = esk173_1(esk176_0)
| relation_dom(X1) != esk176_0
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_770,c_0_762]) ).
cnf(c_0_778,lemma,
unordered_pair(esk171_1(esk176_0),esk171_1(esk176_0)) = esk172_1(esk176_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_771,c_0_757])]),c_0_765]),c_0_764]),c_0_772]) ).
cnf(c_0_779,lemma,
( unordered_pair(esk171_1(esk176_0),esk171_1(esk176_0)) = esk173_1(esk176_0)
| unordered_pair(esk177_1(esk175_1(esk176_0)),esk177_1(esk175_1(esk176_0))) != apply(esk175_1(esk176_0),esk177_1(esk175_1(esk176_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_773]),c_0_774]) ).
cnf(c_0_780,negated_conjecture,
( unordered_pair(esk177_1(esk175_1(esk176_0)),esk177_1(esk175_1(esk176_0))) != apply(esk175_1(esk176_0),esk177_1(esk175_1(esk176_0)))
| esk172_1(esk176_0) != esk173_1(esk176_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_754])]),c_0_775]),c_0_776]) ).
cnf(c_0_781,negated_conjecture,
( apply(esk175_1(esk176_0),esk177_1(X1)) = unordered_pair(esk177_1(X1),esk177_1(X1))
| esk172_1(esk176_0) = esk173_1(esk176_0)
| relation_dom(X1) != esk176_0
| ~ relation(X1)
| ~ function(X1) ),
inference(rw,[status(thm)],[c_0_777,c_0_778]) ).
cnf(c_0_782,lemma,
unordered_pair(esk177_1(esk175_1(esk176_0)),esk177_1(esk175_1(esk176_0))) != apply(esk175_1(esk176_0),esk177_1(esk175_1(esk176_0))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_779,c_0_778]),c_0_780]) ).
cnf(c_0_783,lemma,
( esk172_1(esk176_0) = esk173_1(esk176_0)
| ~ relation(esk175_1(esk176_0))
| ~ function(esk175_1(esk176_0)) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_757])]),c_0_782]) ).
cnf(c_0_784,lemma,
( apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| esk173_1(X1) != esk172_1(X1)
| X3 != unordered_pair(esk174_1(X1),esk174_1(X1))
| ~ in(X2,X1) ),
i_0_701 ).
cnf(c_0_785,lemma,
( esk172_1(esk176_0) = esk173_1(esk176_0)
| ~ function(esk175_1(esk176_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_773]),c_0_778])]) ).
cnf(c_0_786,lemma,
( apply(esk175_1(X1),X2) = unordered_pair(X2,X2)
| esk172_1(X1) != esk173_1(X1)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_784]) ).
cnf(c_0_787,lemma,
esk172_1(esk176_0) = esk173_1(esk176_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_774]),c_0_778])]) ).
cnf(c_0_788,lemma,
( apply(esk175_1(esk176_0),X1) = unordered_pair(X1,X1)
| ~ in(X1,esk176_0) ),
inference(spm,[status(thm)],[c_0_786,c_0_787]) ).
cnf(c_0_789,negated_conjecture,
( apply(esk175_1(esk176_0),esk177_1(X1)) = unordered_pair(esk177_1(X1),esk177_1(X1))
| relation_dom(X1) != esk176_0
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_788,c_0_762]) ).
cnf(c_0_790,lemma,
( ~ relation(esk175_1(esk176_0))
| ~ function(esk175_1(esk176_0)) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_757])]),c_0_782]) ).
cnf(c_0_791,lemma,
~ function(esk175_1(esk176_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_790,c_0_776]),c_0_787])]) ).
cnf(c_0_792,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_791,c_0_775]),c_0_787])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU284+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 08:36:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.47 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.65/2.71 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.65/2.71 # No SInE strategy applied
% 8.65/2.71 # Trying AutoSched0 for 150 seconds
% 8.65/2.71 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 8.65/2.71 # and selection function SelectVGNonCR.
% 8.65/2.71 #
% 8.65/2.71 # Preprocessing time : 0.023 s
% 8.65/2.71 # Presaturation interreduction done
% 8.65/2.71
% 8.65/2.71 # Proof found!
% 8.65/2.71 # SZS status Theorem
% 8.65/2.71 # SZS output start CNFRefutation
% See solution above
% 8.65/2.71 # Training examples: 0 positive, 0 negative
% 8.65/2.71
% 8.65/2.71 # -------------------------------------------------
% 8.65/2.71 # User time : 0.026 s
% 8.65/2.71 # System time : 0.007 s
% 8.65/2.71 # Total time : 0.033 s
% 8.65/2.71 # Maximum resident set size: 7120 pages
% 8.65/2.71
%------------------------------------------------------------------------------