TSTP Solution File: SWV305-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWV305-1 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s

% Result   : Unsatisfiable 518.9s
% Output   : Assurance 518.9s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 
% Gandalf c-2.6 r1 starting to prove: /tmp/SystemOnTPTP11079/SWV/SWV305-1+eq_r.in
% 
% Some predicates or functions were curried and renamed.
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: big
% 
% strategies selected: 
% (hyper 28 #f 6 7)
% (binary-unit 28 #f 6 7)
% (binary-double 11 #f 6 7)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 6 7)
% (binary-order 28 #f 6 7)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
% 
% 
% SOS clause 
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% was split for some strategies as: 
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 
% Starting a split proof attempt with 2 components.
% 
% Split component 1 started.
% 
% START OF PROOFPART
% Making new sos for split:
% Original clause to be split: 
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% Split part used next: -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% END OF PROOFPART
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(1478,40,7,2956,0,13,117520,4,990,118846,5,1314,118847,1,1314,118847,50,1320,118847,40,1320,120325,0,1327,149812,3,1978,165229,4,2304,166692,5,2628,166693,5,2631,166694,1,2631,166694,50,2635,166694,40,2635,168172,0,2637,182990,3,2894,185571,4,3013,187805,5,3140,187805,5,3140,187806,1,3140,187806,50,3142,187806,40,3142,189284,0,3144,211506,3,3545,217387,4,3745,220151,5,3945,220152,5,3945,220153,1,3945,220153,50,3948,220153,40,3948,221631,0,3949,234982,3,4350,237408,4,4551,246736,5,4750,246738,5,4750,246739,1,4750,246739,50,4752,246739,40,4752,248217,0,4753,292565,3,6904,311523,4,7979,319651,5,9054,319653,5,9056,319654,1,9056,319654,50,9062,319654,40,9062,321132,0,9063,348709,3,9714,349294,4,10039,398022,5,10364,398023,1,10365,398023,50,10366,398023,40,10366,399501,0,10367,452567,3,11768,477876,4,12469,531497,5,13169,531497,1,13169,531497,50,13177,531497,40,13177,532975,0,13178,561721,3,13830,571763,4,14154,604834,5,14479,604835,1,14479,604835,50,14483,604835,40,14483,606313,0,14485,619655,3,14736,621792,4,14861,627891,5,14986,627891,1,14986,627891,50,14987,627891,40,14987,629369,0,14989,656377,3,15640,657009,4,15965,703832,5,16290,703834,1,16290,703834,50,16292,703834,40,16292,705312,0,16293,738058,3,16944,750406,4,17274,752297,5,17595,752298,5,17595,752299,1,17595,752299,50,17599,752299,40,17599,753777,0,17601,766608,3,18252,782319,4,18605,843490,5,18927,843491,5,18928,843491,1,18928,843491,50,18931,843491,40,18931,844969,0,18933,868499,3,19334,874843,4,19534,876861,5,19734,876862,5,19734,876863,1,19734,876863,50,19737,876863,40,19737,878341,0,19738,906463,3,20390,920066,4,20714,923023,5,21039,923024,5,21041,923025,1,21041,923025,50,21045,923025,40,21045,924503,0,21050,1027288,4,21651,1031958,5,21851,1031959,1,21851,1031959,50,21857,1031959,40,21857,1033437,0,21858,1193059,3,26032,1280425,4,28087,1286711,5,30159,1286712,5,30160,1286712,1,30160,1286712,50,30167,1286712,40,30167,1286712,40,30167,1288190,0,30173,1343473,4,31076,1354651,5,31374,1354652,1,31374,1354652,50,31374,1354652,40,31374,1356130,0,31376,1387076,3,31984,1400368,4,32277,1401626,5,32578,1401627,5,32579,1401628,1,32579,1401628,50,32580,1401628,40,32580,1403106,0,32581,1417052,3,32782,1420086,4,32882,1422143,5,32991,1422144,5,32992,1422144,1,32992,1422144,50,32992,1422144,40,32992,1423622,0,32993,1446301,3,33404,1452450,4,33594,1454507,5,33794,1454509,5,33794,1454510,1,33794,1454510,50,33794,1454510,40,33794,1455988,0,33796,1478628,3,34197,1486181,4,34397,1488293,5,34597,1488294,5,34598,1488295,1,34598,1488295,50,34598,1488295,40,34598,1489773,0,34600,1564469,3,36701,1590934,4,37752,1593724,5,38801,1593725,5,38805,1593725,1,38805,1593725,50,38806,1593725,40,38806,1595203,0,38807,1622418,3,39408,1635937,4,39708,1637706,5,40008,1637707,5,40010,1637707,1,40010,1637707,50,40010,1637707,40,40010,1639185,0,40011)
% 
% 
% START OF PROOF
% 1612714 [?] ?
% 1637712 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 1637759 [] -c_in(c_^message_^omsg_^o^crypt(X,Y),c_^message_^osynth(Z),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^crypt(X,Y),Z,tc_^message_^omsg) | c_in(c_^message_^omsg_^o^key(X),Z,tc_^message_^omsg).
% 1639179 [] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(X)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(Y,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 1639180 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 1639184 [] c_in(v_evsf,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 1639185 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 1639215 [binary:1639180,1637712.2] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 1639677 [binary:1639215,1637759.2,cut:1612714] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 1639696 [binary:1637712,1639677] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 1685767 [binary:1639696,1639179,cut:1639184,cut:1639185] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 28
% 
% 
% old unit clauses discarded
% 
% Split component 2 started.
% 
% START OF PROOFPART
% Making new sos for split:
% Original clause to be split: 
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% Split part used next: -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% END OF PROOFPART
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 7
% clause depth limited to 6
% seconds given: 12
% 
% 
% proof attempt stopped: time limit
% 
% using binary resolution
% not using sos strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 7
% clause depth limited to 6
% seconds given: 12
% 
% 
% proof attempt stopped: time limit
% 
% old unit clauses discarded
% 
% using binary resolution
% not using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 7
% clause depth limited to 6
% seconds given: 4
% 
% 
% proof attempt stopped: time limit
% 
% using binary resolution
% not using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 8
% 
% 
% proof attempt stopped: time limit
% 
% using binary resolution
% using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 8
% 
% 
% proof attempt stopped: time limit
% 
% old unit clauses discarded
% 
% using binary resolution
% using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 7
% clause depth limited to 6
% seconds given: 42
% 
% 
% proof attempt stopped: time limit
% 
% old unit clauses discarded
% 
% using binary resolution
% using term-depth-order strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 7
% clause depth limited to 6
% seconds given: 12
% 
% 
% proof attempt stopped: time limit
% 
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 28
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(1478,40,7,2956,0,13,117520,4,990,118846,5,1314,118847,1,1314,118847,50,1320,118847,40,1320,120325,0,1327,149812,3,1978,165229,4,2304,166692,5,2628,166693,5,2631,166694,1,2631,166694,50,2635,166694,40,2635,168172,0,2637,182990,3,2894,185571,4,3013,187805,5,3140,187805,5,3140,187806,1,3140,187806,50,3142,187806,40,3142,189284,0,3144,211506,3,3545,217387,4,3745,220151,5,3945,220152,5,3945,220153,1,3945,220153,50,3948,220153,40,3948,221631,0,3949,234982,3,4350,237408,4,4551,246736,5,4750,246738,5,4750,246739,1,4750,246739,50,4752,246739,40,4752,248217,0,4753,292565,3,6904,311523,4,7979,319651,5,9054,319653,5,9056,319654,1,9056,319654,50,9062,319654,40,9062,321132,0,9063,348709,3,9714,349294,4,10039,398022,5,10364,398023,1,10365,398023,50,10366,398023,40,10366,399501,0,10367,452567,3,11768,477876,4,12469,531497,5,13169,531497,1,13169,531497,50,13177,531497,40,13177,532975,0,13178,561721,3,13830,571763,4,14154,604834,5,14479,604835,1,14479,604835,50,14483,604835,40,14483,606313,0,14485,619655,3,14736,621792,4,14861,627891,5,14986,627891,1,14986,627891,50,14987,627891,40,14987,629369,0,14989,656377,3,15640,657009,4,15965,703832,5,16290,703834,1,16290,703834,50,16292,703834,40,16292,705312,0,16293,738058,3,16944,750406,4,17274,752297,5,17595,752298,5,17595,752299,1,17595,752299,50,17599,752299,40,17599,753777,0,17601,766608,3,18252,782319,4,18605,843490,5,18927,843491,5,18928,843491,1,18928,843491,50,18931,843491,40,18931,844969,0,18933,868499,3,19334,874843,4,19534,876861,5,19734,876862,5,19734,876863,1,19734,876863,50,19737,876863,40,19737,878341,0,19738,906463,3,20390,920066,4,20714,923023,5,21039,923024,5,21041,923025,1,21041,923025,50,21045,923025,40,21045,924503,0,21050,1027288,4,21651,1031958,5,21851,1031959,1,21851,1031959,50,21857,1031959,40,21857,1033437,0,21858,1193059,3,26032,1280425,4,28087,1286711,5,30159,1286712,5,30160,1286712,1,30160,1286712,50,30167,1286712,40,30167,1286712,40,30167,1288190,0,30173,1343473,4,31076,1354651,5,31374,1354652,1,31374,1354652,50,31374,1354652,40,31374,1356130,0,31376,1387076,3,31984,1400368,4,32277,1401626,5,32578,1401627,5,32579,1401628,1,32579,1401628,50,32580,1401628,40,32580,1403106,0,32581,1417052,3,32782,1420086,4,32882,1422143,5,32991,1422144,5,32992,1422144,1,32992,1422144,50,32992,1422144,40,32992,1423622,0,32993,1446301,3,33404,1452450,4,33594,1454507,5,33794,1454509,5,33794,1454510,1,33794,1454510,50,33794,1454510,40,33794,1455988,0,33796,1478628,3,34197,1486181,4,34397,1488293,5,34597,1488294,5,34598,1488295,1,34598,1488295,50,34598,1488295,40,34598,1489773,0,34600,1564469,3,36701,1590934,4,37752,1593724,5,38801,1593725,5,38805,1593725,1,38805,1593725,50,38806,1593725,40,38806,1595203,0,38807,1622418,3,39408,1635937,4,39708,1637706,5,40008,1637707,5,40010,1637707,1,40010,1637707,50,40010,1637707,40,40010,1639185,0,40011,1685766,50,41178,1685766,30,41178,1685766,40,41178,1687244,0,41183,1729738,4,42084,1742450,5,42384,1742451,1,42384,1742451,50,42384,1742451,40,42384,1743929,0,42386,1774095,3,42987,1786966,4,43287,1788290,5,43587,1788291,5,43589,1788292,1,43589,1788292,50,43590,1788292,40,43590,1789770,0,43591,1804512,3,43792,1807026,4,43892,1809287,5,43992,1809289,5,43992,1809289,1,43992,1809289,50,43992,1809289,40,43992,1810767,0,43994,1832865,3,44395,1837988,4,44595,1840763,5,44795,1840764,5,44796,1840765,1,44796,1840765,50,44796,1840765,40,44796,1842243,0,44797,1865133,3,45198,1870842,4,45398,1873421,5,45598,1873422,5,45598,1873423,1,45598,1873423,50,45599,1873423,40,45599,1874901,0,45600,1951456,3,47701,1976076,4,48751,1978590,5,49801,1978591,5,49803,1978591,1,49803,1978591,50,49803,1978591,40,49803,1980069,0,49805,2006326,3,50407,2018213,4,50706,2019934,5,51006,2019935,5,51008,2019936,1,51008,2019936,50,51008,2019936,40,51008,2021414,0,51010)
% 
% 
% START OF PROOF
% 1997498 [?] ?
% 2019941 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 2019988 [] -c_in(c_^message_^omsg_^o^crypt(X,Y),c_^message_^osynth(Z),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^crypt(X,Y),Z,tc_^message_^omsg) | c_in(c_^message_^omsg_^o^key(X),Z,tc_^message_^omsg).
% 2021408 [] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(X)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(Y,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 2021409 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 2021413 [] c_in(v_evsf,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 2021414 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 2021444 [binary:2021409,2019941.2] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 2021906 [binary:2021444,2019988.2,cut:1997498] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 2021924 [binary:2019941,2021906] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 2068010 [binary:2021924,2021408,cut:2021413,cut:2021414] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 28
% 
% 
% old unit clauses discarded
% 
% Split attempt finished with SUCCESS.
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    77681
%  derived clauses:   2799626
%  kept clauses:      1321207
%  kept size sum:     0
%  kept mid-nuclei:   331910
%  kept new demods:   932
%  forw unit-subs:    470695
%  forw double-subs: 198098
%  forw overdouble-subs: 51441
%  backward subs:     770
%  fast unit cutoff:  48235
%  full unit cutoff:  17744
%  dbl  unit cutoff:  264
%  real runtime  :  524.2
%  process. runtime:  522.45
% specific non-discr-tree subsumption statistics: 
%  tried:           4730365
%  length fails:    281284
%  strength fails:  647084
%  predlist fails:  1127488
%  aux str. fails:  270285
%  by-lit fails:    116897
%  full subs tried: 2177570
%  full subs fail:  2123733
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP11079/SWV/SWV305-1+eq_r.in")
% WARNING: TreeLimitedRun lost 518.89s, total lost is 518.89s
% 
%------------------------------------------------------------------------------