%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET214-6 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art07.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 428.2s
% Output : Assurance 428.2s
% 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: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SET/SET214-6+eq_r.in
% 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 9)
% (binary-unit 28 #f 6 9)
% (binary-double 11 #f 6 9)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 6 9)
% (binary-order 28 #f 6 9)
% (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)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(114,40,1,228,0,1,325083,4,2102,325677,5,2803,325678,1,2805,325678,50,2812,325678,40,2812,325792,0,2812,352064,3,4214,356037,4,4913,368912,5,5619,368913,5,5619,368915,1,5619,368915,50,5623,368915,40,5623,369029,0,5623,398396,3,6174,401421,4,6449,406621,5,6724,406621,5,6724,406621,1,6724,406621,50,6727,406621,40,6727,406735,0,6727,436198,3,7603,440287,4,8003,449529,5,8428,449530,5,8429,449530,1,8429,449530,50,8431,449530,40,8431,449644,0,8431,495000,3,9282,500179,4,9708,509293,5,10132,509293,5,10134,509294,1,10134,509294,50,10136,509294,40,10136,509408,0,10136,660900,3,14488,664940,4,16663,684474,5,18837,684475,1,18837,684475,50,18840,684475,40,18840,684589,0,18841,739963,3,20243,741172,4,20942,785363,5,21642,785363,1,21642,785363,50,21643,785363,40,21643,785477,0,21643,917801,3,24544,949133,4,25994,1095266,5,27444,1095267,5,27446,1095268,1,27446,1095268,50,27454,1095268,40,27454,1095382,0,27454,1134717,3,28855,1142643,4,29555,1157971,5,30255,1157972,1,30256,1157972,50,30259,1157972,40,30259,1158086,0,30259,1186116,3,30810,1189256,4,31085,1193754,5,31360,1193755,5,31360,1193755,1,31360,1193755,50,31362,1193755,40,31362,1193869,0,31362,1249629,3,32764,1250837,4,33463,1295434,5,34163,1295434,1,34163,1295434,50,34164,1295434,40,34164,1295548,0,34164,1314850,3,35565,1317397,4,36267,1330828,62,36965,1330828,5,36965,1330828,1,36965,1330828,50,36968,1330828,40,36968,1330942,0,36968,1370095,3,38369,1371293,4,39069,1376896,5,39769,1376896,1,39769,1376896,50,39771,1376896,40,39771,1377010,0,39771,1403408,3,40622,1405546,4,41047,1413791,5,41472,1413793,5,41473,1413794,1,41473,1413794,50,41475,1413794,40,41475,1413908,0,41475,1459227,3,42876,1464771,4,43577)
%
%
% START OF PROOF
% 1413797 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1413798 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1413809 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 1413810 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,U).
% 1413811 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 1413812 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 1413816 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 1413908 [] -subclass(cross_product(intersection(x,y),z),cross_product(x,z)).
% 1413934 [binary:1413908,1413797.2] member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),cross_product(intersection(x,y),z)).
% 1413946 [binary:1413908,1413798.2] -member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z)),cross_product(x,z)).
% 1414219 [para:1413812.1.1,1413809.1.1,factor] -member(X,cross_product(Y,Z)) | member(first(X),Y).
% 1414225 [para:1413812.1.1,1413810.1.1,factor] -member(X,cross_product(Y,Z)) | member(second(X),Z).
% 1414227 [para:1413812.1.1,1413811.1.1] -member(X,cross_product(Y,Z)) | member(X,cross_product(U,V)) | -member(second(X),V) | -member(first(X),U).
% 1443602 [binary:1413934,1414219] member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),intersection(x,y)).
% 1444271 [binary:1413934,1414225] member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),z).
% 1444754 [binary:1413946,1414227.2,cut:1444271,slowcut:1413934] -member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(x,z))),x).
% 1466269 [binary:1443602,1413816,cut:1444754] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using term-depth-order strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit 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
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 32917
% derived clauses: 3230782
% kept clauses: 658249
% kept size sum: 0
% kept mid-nuclei: 339212
% kept new demods: 1825
% forw unit-subs: 1184536
% forw double-subs: 404612
% forw overdouble-subs: 154342
% backward subs: 4884
% fast unit cutoff: 57309
% full unit cutoff: 5892
% dbl unit cutoff: 1046
% real runtime : 438.21
% process. runtime: 436.4
% specific non-discr-tree subsumption statistics:
% tried: 26278992
% length fails: 1014556
% strength fails: 3488355
% predlist fails: 17046784
% aux str. fails: 464989
% by-lit fails: 361940
% full subs tried: 3649947
% full subs fail: 3494244
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SET/SET214-6+eq_r.in")
%
%------------------------------------------------------------------------------