TSTP Solution File: SET847-2 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET847-2 : 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 : art06.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 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
%
% Gandalf c-2.6 r1 starting to prove: /tmp/SystemOnTPTP18711/SET/SET847-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: medium
%
% strategies selected:
% (hyper 25 #f 5 5)
% (binary-unit 9 #f 5 5)
% (binary-double 9 #f 5 5)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 5 5)
% (binary-order 25 #f 5 5)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(12,40,0,24,0,0)
%
%
% START OF PROOF
% 13 [] equal(X,X).
% 14 [] c_in(X,c_minus(Y,Z,tc_set(U)),U) | -c_in(X,Y,U) | c_in(X,Z,U).
% 19 [] c_lessequals(X,X,tc_set(Y)).
% 20 [] -c_lessequals(X,c_^zorn_^o^t^fin(Y,Z),tc_set(tc_set(tc_set(Z)))) | c_in(c_^union(X,tc_set(Z)),c_^zorn_^o^t^fin(Y,Z),tc_set(tc_set(Z))).
% 21 [] -c_in(X,c_^zorn_^o^t^fin(Y,Z),tc_set(tc_set(Z))) | c_in(X,c_^zorn_^ochain(Y,Z),tc_set(tc_set(Z))).
% 22 [] equal(c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),c_^zorn_^osucc(X,c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),Y)) | -c_in(c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),c_^zorn_^o^t^fin(X,Y),tc_set(tc_set(Y))).
% 23 [] -c_in(X,c_minus(c_^zorn_^ochain(Y,Z),c_^zorn_^omaxchain(Y,Z),tc_set(tc_set(tc_set(Z)))),tc_set(tc_set(Z))) | -equal(c_^zorn_^osucc(Y,X,Z),X).
% 24 [] -c_in(X,c_^zorn_^omaxchain(v_^s,t_a),tc_set(tc_set(t_a))).
% 25 [hyper:20,19] c_in(c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),c_^zorn_^o^t^fin(X,Y),tc_set(tc_set(Y))).
% 61 [hyper:21,25] c_in(c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),c_^zorn_^ochain(X,Y),tc_set(tc_set(Y))).
% 62 [hyper:22,25] equal(c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),c_^zorn_^osucc(X,c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),Y)).
% 63 [hyper:14,61] c_in(c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),c_minus(c_^zorn_^ochain(X,Y),Z,tc_set(tc_set(tc_set(Y)))),tc_set(tc_set(Y))) | c_in(c_^union(c_^zorn_^o^t^fin(X,Y),tc_set(Y)),Z,tc_set(tc_set(Y))).
% 221 [hyper:23,63,demod:62,cut:13,slowcut:24] 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 5
% clause depth limited to 5
% seconds given: 25
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 47
% derived clauses: 616
% kept clauses: 109
% kept size sum: 3206
% kept mid-nuclei: 50
% kept new demods: 2
% forw unit-subs: 97
% forw double-subs: 70
% forw overdouble-subs: 90
% backward subs: 7
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.3
% process. runtime: 0.2
% specific non-discr-tree subsumption statistics:
% tried: 457
% length fails: 33
% strength fails: 82
% predlist fails: 127
% aux str. fails: 10
% by-lit fails: 0
% full subs tried: 205
% full subs fail: 115
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP18711/SET/SET847-2+eq_r.in")
%
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