TSTP Solution File: GRP129-4.004 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP129-4.004 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art04.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 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP129-4.004+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 1 11)
% (binary-unit 10 #f 1 11)
% (binary-double 16 #f 1 11)
% (binary 54 #t 1 11)
% (binary-order 27 #f 1 11)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(25,40,0,50,0,0)
%
%
% START OF PROOF
% 26 [] product(e_3,X,Y) | product(e_4,X,Y) | product(e_2,X,Y) | product(e_1,X,Y) | -group_element(Y) | -group_element(X).
% 27 [] product(X,e_3,Y) | product(X,e_4,Y) | product(X,e_2,Y) | product(X,e_1,Y) | -group_element(Y) | -group_element(X).
% 28 [] group_element(e_1).
% 29 [] group_element(e_2).
% 30 [] group_element(e_3).
% 32 [] -equalish(e_1,e_2).
% 33 [] -equalish(e_1,e_3).
% 35 [] -equalish(e_2,e_1).
% 36 [] -equalish(e_2,e_3).
% 37 [] -equalish(e_2,e_4).
% 39 [] -equalish(e_3,e_2).
% 44 [] product(X,Y,e_3) | product(X,Y,e_4) | product(X,Y,e_2) | product(X,Y,e_1) | -group_element(Y) | -group_element(X).
% 45 [] -product(X,Y,U) | -product(X,Y,Z) | equalish(Z,U).
% 46 [] -product(X,U,Z) | -product(X,Y,Z) | equalish(Y,U).
% 47 [] -product(U,Y,Z) | -product(X,Y,Z) | equalish(X,U).
% 48 [] -product(Y,U,Z) | -product(X,Y,Z) | product(U,X,Y).
% 58 [hyper:44,28,28] product(e_1,e_1,e_4) | product(e_1,e_1,e_3) | product(e_1,e_1,e_2) | product(e_1,e_1,e_1).
% 64 [hyper:26,29,28] product(e_3,e_2,e_1) | product(e_4,e_2,e_1) | product(e_1,e_2,e_1) | product(e_2,e_2,e_1).
% 69 [hyper:27,29,28] product(e_2,e_3,e_1) | product(e_2,e_4,e_1) | product(e_2,e_1,e_1) | product(e_2,e_2,e_1).
% 72 [hyper:44,29,29] product(e_2,e_2,e_4) | product(e_2,e_2,e_3) | product(e_2,e_2,e_2) | product(e_2,e_2,e_1).
% 80 [hyper:26,30,28] product(e_3,e_3,e_1) | product(e_4,e_3,e_1) | product(e_1,e_3,e_1) | product(e_2,e_3,e_1).
% 87 [hyper:27,30,28] product(e_3,e_3,e_1) | product(e_3,e_4,e_1) | product(e_3,e_1,e_1) | product(e_3,e_2,e_1).
% 737 [hyper:48,58,58] product(e_1,e_1,e_2) | product(e_1,e_1,e_1) | product(e_1,e_1,e_3).
% 841 [hyper:48,737,737] product(e_1,e_1,e_1) | product(e_1,e_1,e_3).
% 1031 [hyper:48,841,841] product(e_1,e_1,e_1).
% 1445 [hyper:46,64,1031,cut:32] product(e_4,e_2,e_1) | product(e_2,e_2,e_1) | product(e_3,e_2,e_1).
% 1551 [hyper:48,1445,1445] product(e_4,e_2,e_1) | product(e_3,e_2,e_1) | product(e_2,e_2,e_2).
% 2297 [hyper:47,69,1031,cut:32] product(e_2,e_4,e_1) | product(e_2,e_2,e_1) | product(e_2,e_3,e_1).
% 2662 [hyper:48,72,72] product(e_2,e_2,e_2) | product(e_2,e_2,e_1) | product(e_2,e_2,e_3).
% 2987 [hyper:45,1551,1445,cut:32] product(e_4,e_2,e_1) | product(e_3,e_2,e_1).
% 3914 [hyper:46,80,1031,cut:33] product(e_4,e_3,e_1) | product(e_2,e_3,e_1) | product(e_3,e_3,e_1).
% 4706 [hyper:47,87,1031,cut:33] product(e_3,e_4,e_1) | product(e_3,e_2,e_1) | product(e_3,e_3,e_1).
% 5330 [hyper:48,2662,2662] product(e_2,e_2,e_2) | product(e_2,e_2,e_3).
% 5611 [hyper:48,5330,5330] product(e_2,e_2,e_2).
% 5650 [hyper:45,5611,2297,cut:32] product(e_2,e_4,e_1) | product(e_2,e_3,e_1).
% 5677 [hyper:48,5650,2987] product(e_2,e_2,e_4) | product(e_3,e_2,e_1) | product(e_2,e_3,e_1).
% 8459 [hyper:45,5677,5611,cut:37] product(e_2,e_3,e_1) | product(e_3,e_2,e_1).
% 8505 [hyper:48,8459,2987] product(e_3,e_4,e_2) | product(e_3,e_2,e_1).
% 8513 [hyper:48,8459,5650] product(e_4,e_3,e_2) | product(e_2,e_3,e_1).
% 8563 [hyper:46,8459,3914,cut:39] product(e_2,e_3,e_1) | product(e_4,e_3,e_1).
% 8566 [hyper:47,8459,4706,cut:39] product(e_3,e_2,e_1) | product(e_3,e_4,e_1).
% 8947 [hyper:45,8563,8513,cut:35] product(e_2,e_3,e_1).
% 9046 [hyper:45,8566,8505,cut:35] product(e_3,e_2,e_1).
% 9064 [hyper:48,9046,8947] product(e_2,e_2,e_3).
% 9114 [hyper:45,9064,5611,cut:36] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% 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 11
% clause depth limited to 1
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 140
% derived clauses: 26306
% kept clauses: 2810
% kept size sum: 55521
% kept mid-nuclei: 6138
% kept new demods: 0
% forw unit-subs: 4356
% forw double-subs: 1999
% forw overdouble-subs: 10793
% backward subs: 155
% fast unit cutoff: 5835
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.77
% process. runtime: 0.74
% specific non-discr-tree subsumption statistics:
% tried: 202444
% length fails: 6133
% strength fails: 72570
% predlist fails: 33401
% aux str. fails: 0
% by-lit fails: 37984
% full subs tried: 0
% full subs fail: 0
%
% ; 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/GRP/GRP129-4.004+noeq.in")
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