TSTP Solution File: SET848-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET848-1 : 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 : 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 54.8s
% Output : Assurance 54.8s
% 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/SystemOnTPTP18845/SET/SET848-1+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 5 7)
% (binary-unit 28 #f 5 7)
% (binary-double 11 #f 5 7)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 5 7)
% (binary-order 28 #f 5 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)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(1367,40,6,2734,0,12,1205028,4,2117,1228537,5,2813,1228538,1,2813,1228538,50,2821,1228538,40,2821,1229905,0,2822,1278594,3,4223,1295867,4,4923)
%
%
% START OF PROOF
% 1228539 [] equal(X,X).
% 1228698 [] c_in(X,c_minus(Y,Z,tc_set(U)),U) | -c_in(X,Y,U) | c_in(X,Z,U).
% 1228849 [] c_lessequals(X,X,tc_set(Y)).
% 1229898 [] -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))).
% 1229899 [] -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))).
% 1229902 [] -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).
% 1229903 [] -c_in(c_^union(c_^zorn_^o^t^fin(v_^s,t_a),tc_set(t_a)),c_^zorn_^omaxchain(v_^s,t_a),tc_set(tc_set(t_a))).
% 1229904 [] equal(c_^zorn_^osucc(v_^s,c_^union(c_^zorn_^o^t^fin(v_^s,t_a),tc_set(t_a)),t_a),c_^union(c_^zorn_^o^t^fin(v_^s,t_a),tc_set(t_a))).
% 1231398 [binary:1229903,1228698.3] c_in(c_^union(c_^zorn_^o^t^fin(v_^s,t_a),tc_set(t_a)),c_minus(X,c_^zorn_^omaxchain(v_^s,t_a),tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) | -c_in(c_^union(c_^zorn_^o^t^fin(v_^s,t_a),tc_set(t_a)),X,tc_set(tc_set(t_a))).
% 1237093 [binary:1228849,1229898] 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))).
% 1237527 [para:1229904.1.1,1229902.2.1,cut:1228539,binarydemod:1231398] -c_in(c_^union(c_^zorn_^o^t^fin(v_^s,t_a),tc_set(t_a)),c_^zorn_^ochain(v_^s,t_a),tc_set(tc_set(t_a))).
% 1301352 [binary:1237093,1229899,slowcut:1237527] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% 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
% clause length limited to 7
% clause depth limited to 5
% seconds given: 28
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5863
% derived clauses: 1573042
% kept clauses: 141733
% kept size sum: 0
% kept mid-nuclei: 12994
% kept new demods: 61
% forw unit-subs: 91566
% forw double-subs: 3620
% forw overdouble-subs: 494
% backward subs: 37
% fast unit cutoff: 1389
% full unit cutoff: 534
% dbl unit cutoff: 1
% real runtime : 55.90
% process. runtime: 55.69
% specific non-discr-tree subsumption statistics:
% tried: 2727
% length fails: 67
% strength fails: 13
% predlist fails: 571
% aux str. fails: 40
% by-lit fails: 1
% full subs tried: 2009
% full subs fail: 1515
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP18845/SET/SET848-1+eq_r.in")
% WARNING: TreeLimitedRun lost 54.83s, total lost is 54.83s
%
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