TSTP Solution File: SET830-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET830-2 : 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 : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% Result : Unsatisfiable 34.8s
% Output : Assurance 34.8s
% 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/SystemOnTPTP30958/SET/SET830-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: small
%
% strategies selected:
% (hyper 27 #f 2 5)
% (binary-unit 10 #f 2 5)
% (binary-double 16 #f)
% (binary 16 #t 2 5)
% (binary-posweight-order 181 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 54 #f)
% (binary-order 27 #f 2 5)
% (binary-weightorder 71 #f)
% (binary-order 27 #f)
% (hyper-order 54 #f)
% (binary 63 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(10,40,0,20,0,0,21965,4,2063,34646,5,2701,34647,1,2701,34647,50,2701,34647,40,2701,34657,0,2701,34809,50,2702,34819,0,2702,37697,50,2817,37707,0,2817,47716,3,3218,48943,4,3418,50500,5,3618,50501,5,3618,50502,1,3618,50502,50,3619,50502,40,3619,50512,0,3619)
%
%
% START OF PROOF
% 50503 [] -c_in(X,c_inter(Y,Z,U),U) | c_in(X,Z,U).
% 50504 [] -c_in(X,c_inter(Y,Z,U),U) | c_in(X,Y,U).
% 50505 [] c_in(X,c_inter(Y,Z,U),U) | -c_in(X,Y,U) | -c_in(X,Z,U).
% 50506 [] -c_lessequals(X,Y,tc_set(Z)) | -c_in(U,X,Z) | c_in(U,Y,Z).
% 50507 [] c_in(c_^main_^osubset^i__1(X,Y,Z),X,Z) | c_lessequals(X,Y,tc_set(Z)).
% 50508 [] -c_in(c_^main_^osubset^i__1(X,Y,Z),Y,Z) | c_lessequals(X,Y,tc_set(Z)).
% 50509 [] c_in(v_x,v_^y,t_a).
% 50510 [] c_in(v_x,v_^z,t_a).
% 50511 [] -c_in(v_x,v_^x,t_a).
% 50512 [] -c_lessequals(X,v_^z,tc_set(t_a)) | -c_lessequals(X,v_^y,tc_set(t_a)) | c_lessequals(X,v_^x,tc_set(t_a)).
% 50537 [binary:50510,50505.3] c_in(v_x,c_inter(X,v_^z,t_a),t_a) | -c_in(v_x,X,t_a).
% 50571 [binary:50511,50506.3] -c_lessequals(X,v_^x,tc_set(t_a)) | -c_in(v_x,X,t_a).
% 50603 [binary:50503,50507] c_in(c_^main_^osubset^i__1(c_inter(X,Y,Z),U,Z),Y,Z) | c_lessequals(c_inter(X,Y,Z),U,tc_set(Z)).
% 51142 [binary:50571.2,50537] -c_lessequals(c_inter(X,v_^z,t_a),v_^x,tc_set(t_a)) | -c_in(v_x,X,t_a).
% 56825 [binary:50508,50603] c_lessequals(c_inter(X,Y,Z),Y,tc_set(Z)).
% 56940 [binary:50512,56825,binarydemod:51142] -c_lessequals(c_inter(X,v_^z,t_a),v_^y,tc_set(t_a)) | -c_in(v_x,X,t_a).
% 57039 [binary:50509,56940.2] -c_lessequals(c_inter(v_^y,v_^z,t_a),v_^y,tc_set(t_a)).
% 57132 [binary:50507.2,57039] c_in(c_^main_^osubset^i__1(c_inter(v_^y,v_^z,t_a),v_^y,t_a),c_inter(v_^y,v_^z,t_a),t_a).
% 57133 [binary:50508.2,57039] -c_in(c_^main_^osubset^i__1(c_inter(v_^y,v_^z,t_a),v_^y,t_a),v_^y,t_a).
% 57140 [binary:50504.2,57133,slowcut:57132] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 16
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5334
% derived clauses: 477087
% kept clauses: 39111
% kept size sum: 0
% kept mid-nuclei: 3985
% kept new demods: 0
% forw unit-subs: 127134
% forw double-subs: 53178
% forw overdouble-subs: 72279
% backward subs: 113
% fast unit cutoff: 7131
% full unit cutoff: 3
% dbl unit cutoff: 655
% real runtime : 36.95
% process. runtime: 36.74
% specific non-discr-tree subsumption statistics:
% tried: 6937866
% length fails: 296593
% strength fails: 2006988
% predlist fails: 890501
% aux str. fails: 37661
% by-lit fails: 20168
% full subs tried: 3673242
% full subs fail: 3600668
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP30958/SET/SET830-2+noeq.in")
% WARNING: TreeLimitedRun lost 34.82s, total lost is 34.82s
%
%------------------------------------------------------------------------------