TSTP Solution File: SWV260-2 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV260-2 : 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 : art01.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 25.0s
% Output : Assurance 25.0s
% 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/SystemOnTPTP31547/SWV/SWV260-2+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 3 5)
% (binary-unit 9 #f 3 5)
% (binary-double 9 #f 3 5)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 5)
% (binary-order 25 #f 3 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(11,40,0,22,0,0,52432,4,1904,77137,5,2501,77137,1,2501,77137,50,2502,77137,40,2502,77148,0,2502,77206,50,2502,77217,0,2502)
%
%
% START OF PROOF
% 77208 [] c_in(X,c_^message_^oparts(Y),tc_^message_^omsg) | -c_in(X,Y,tc_^message_^omsg).
% 77209 [] c_in(X,c_union(Y,Z,U),U) | -c_in(X,Z,U).
% 77210 [] c_in(X,c_union(Y,Z,U),U) | -c_in(X,Y,U).
% 77211 [] -c_in(X,c_insert(Y,Z,U),U) | c_in(X,Z,U) | equal(X,Y).
% 77212 [] c_in(c_^main_^osubset^i__1(X,Y,Z),X,Z) | c_lessequals(X,Y,tc_set(Z)).
% 77213 [] -c_in(c_^main_^osubset^i__1(X,Y,Z),Y,Z) | c_lessequals(X,Y,tc_set(Z)).
% 77214 [] -c_lessequals(X,c_^message_^oparts(Y),tc_set(tc_^message_^omsg)) | -c_in(Z,c_^message_^oparts(X),tc_^message_^omsg) | c_in(Z,c_^message_^oparts(Y),tc_^message_^omsg).
% 77215 [] c_in(v_^y,c_^message_^oparts(c_insert(v_^x,v_^g,tc_^message_^omsg)),tc_^message_^omsg).
% 77216 [] c_in(v_^x,c_^message_^oparts(v_^h),tc_^message_^omsg).
% 77217 [] -c_in(v_^y,c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg).
% 77278 [binary:77216,77214.2] -c_lessequals(v_^h,c_^message_^oparts(X),tc_set(tc_^message_^omsg)) | c_in(v_^x,c_^message_^oparts(X),tc_^message_^omsg).
% 77279 [binary:77215,77214.2] -c_lessequals(c_insert(v_^x,v_^g,tc_^message_^omsg),c_^message_^oparts(X),tc_set(tc_^message_^omsg)) | c_in(v_^y,c_^message_^oparts(X),tc_^message_^omsg).
% 77299 [binary:77217,77279.2] -c_lessequals(c_insert(v_^x,v_^g,tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_set(tc_^message_^omsg)).
% 77301 [binary:77212.2,77299] c_in(c_^main_^osubset^i__1(c_insert(v_^x,v_^g,tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),c_insert(v_^x,v_^g,tc_^message_^omsg),tc_^message_^omsg).
% 77302 [binary:77213.2,77299] -c_in(c_^main_^osubset^i__1(c_insert(v_^x,v_^g,tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg).
% 77333 [binary:77208,77302] -c_in(c_^main_^osubset^i__1(c_insert(v_^x,v_^g,tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),c_union(v_^g,v_^h,tc_^message_^omsg),tc_^message_^omsg).
% 77337 [binary:77210,77333] -c_in(c_^main_^osubset^i__1(c_insert(v_^x,v_^g,tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),v_^g,tc_^message_^omsg).
% 77392 [binary:77211,77301,cut:77337] equal(c_^main_^osubset^i__1(c_insert(v_^x,v_^g,tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),v_^x).
% 77394 [para:77392.1.1,77213.1.1,cut:77299] -c_in(v_^x,c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg).
% 77411 [binary:77278.2,77394] -c_lessequals(v_^h,c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_set(tc_^message_^omsg)).
% 77435 [binary:77212.2,77411] c_in(c_^main_^osubset^i__1(v_^h,c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),v_^h,tc_^message_^omsg).
% 77436 [binary:77213.2,77411] -c_in(c_^main_^osubset^i__1(v_^h,c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg).
% 77635 [binary:77209.2,77435] c_in(c_^main_^osubset^i__1(v_^h,c_^message_^oparts(c_union(v_^g,v_^h,tc_^message_^omsg)),tc_^message_^omsg),c_union(X,v_^h,tc_^message_^omsg),tc_^message_^omsg).
% 77885 [binary:77208.2,77635,slowcut:77436] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos 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 5
% clause depth limited to 4
% seconds given: 9
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 767
% derived clauses: 306380
% kept clauses: 50163
% kept size sum: 12336
% kept mid-nuclei: 1450
% kept new demods: 2
% forw unit-subs: 3435
% forw double-subs: 12180
% forw overdouble-subs: 65119
% backward subs: 28
% fast unit cutoff: 8
% full unit cutoff: 1
% dbl unit cutoff: 561
% real runtime : 25.9
% process. runtime: 25.4
% specific non-discr-tree subsumption statistics:
% tried: 7244915
% length fails: 414493
% strength fails: 2138175
% predlist fails: 1572578
% aux str. fails: 114275
% by-lit fails: 145881
% full subs tried: 2716876
% full subs fail: 2651689
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP31547/SWV/SWV260-2+eq_r.in")
% WARNING: TreeLimitedRun lost 24.97s, total lost is 24.97s
% Killed 1 orphans
%
%------------------------------------------------------------------------------