TSTP Solution File: GRP132-1.002 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : GRP132-1.002 : TPTP v3.4.2. Released v1.2.0.
% 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 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/GRP132-1.002+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: small
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% strategies selected:
% (hyper 27 #f 1 9)
% (binary-unit 10 #f 1 9)
% (binary-double 16 #f)
% (binary 16 #t 1 9)
% (binary-posweight-order 181 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 54 #f)
% (binary-order 27 #f 1 9)
% (binary-weightorder 71 #f)
% (binary-order 27 #f)
% (hyper-order 54 #f)
% (binary 63 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
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%
% timer checkpoints: c(10,40,0,20,0,1)
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%
% START OF PROOF
% 11 [] group_element(e_1).
% 12 [] group_element(e_2).
% 13 [] -equalish(e_1,e_2).
% 14 [] -equalish(e_2,e_1).
% 15 [] product(X,Y,e_1) | product(X,Y,e_2) | -group_element(X) | -group_element(Y).
% 16 [] -product(X,Y,U) | -product(X,Y,Z) | equalish(Z,U).
% 17 [] -product(X,U,Z) | -product(X,Y,Z) | equalish(Y,U).
% 18 [] -product(X,Y,Z) | -product(U,Y,Z) | equalish(U,X).
% 19 [] -product(W,X,Y) | -product(W,U,V) | -product(U,V,Z) | -product(X,Y,Z) | equalish(U,X).
% 22 [hyper:15,11,11] product(e_1,e_1,e_2) | product(e_1,e_1,e_1).
% 25 [hyper:15,12,11] product(e_2,e_1,e_2) | product(e_2,e_1,e_1).
% 26 [hyper:15,12,12] product(e_2,e_2,e_2) | product(e_2,e_2,e_1).
% 28 [hyper:15,12,11] product(e_1,e_2,e_1) | product(e_1,e_2,e_2).
% 206 [hyper:18,25,22,cut:13] product(e_2,e_1,e_2) | product(e_1,e_1,e_2).
% 323 [hyper:17,26,25,cut:13] product(e_2,e_2,e_1) | product(e_2,e_1,e_1).
% 793 [hyper:17,206,26,cut:14] product(e_1,e_1,e_2) | product(e_2,e_2,e_1).
% 999 [hyper:19,323,26,binarycut:26,binarycut:793,cut:14] product(e_2,e_2,e_1).
% 1081 [hyper:16,999,26,cut:14] product(e_2,e_2,e_1).
% 1084 [hyper:17,999,25,cut:13] product(e_2,e_1,e_2).
% 1088 [hyper:18,999,28,cut:13] product(e_1,e_2,e_2).
% 1133 [hyper:19,1084,1081,1084,cut:1088] equalish(e_2,e_1).
% 1186 [hyper:14,1133] 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 9
% clause depth limited to 1
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 25
% derived clauses: 5031
% kept clauses: 76
% kept size sum: 577
% kept mid-nuclei: 1031
% kept new demods: 0
% forw unit-subs: 1699
% forw double-subs: 1103
% forw overdouble-subs: 373
% backward subs: 14
% fast unit cutoff: 255
% full unit cutoff: 0
% dbl unit cutoff: 42
% real runtime : 0.7
% process. runtime: 0.7
% specific non-discr-tree subsumption statistics:
% tried: 1467
% length fails: 56
% strength fails: 120
% predlist fails: 534
% aux str. fails: 0
% by-lit fails: 326
% full subs tried: 124
% full subs fail: 57
%
% ; 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/GRP132-1.002+noeq.in")
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