TSTP Solution File: LCL442-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL442-1 : 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 : art02.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 114.7s
% Output   : Assurance 114.7s
% 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/SystemOnTPTP21311/LCL/LCL442-1+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 4 7)
% (binary-unit 28 #f 4 7)
% (binary-double 11 #f 4 7)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 4 7)
% (binary-order 28 #f 4 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(1384,40,6,2768,0,12,343558,4,2113,363573,5,2813,363573,1,2813,363573,50,2819,363573,40,2819,364957,0,2820,400536,3,4221,414514,4,4922,428928,5,5621,428928,5,5622,428929,1,5622,428929,50,5627,428929,40,5627,430313,0,5628,453925,3,6179,459275,4,6454,471891,5,6729,471893,5,6729,471894,1,6729,471894,50,6732,471894,40,6732,473278,0,6733,510297,3,7584,531906,4,8010,545147,5,8434,545148,5,8434,545149,1,8434,545149,50,8440,545149,40,8440,546533,0,8441,586310,3,9292,597756,4,9718,599762,5,10143,599763,5,10145,599764,1,10145,599764,50,10149,599764,40,10149,601148,0,10150)
% 
% 
% START OF PROOF
% 601133 [] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(X,c_^prop^log_^opl_^ofalse,Y),c_^prop^log_^othms(Z,Y),tc_^prop^log_^opl(Y)) | c_in(c_^prop^log_^opl_^oop_^a_^n_62(X,U,Y),c_^prop^log_^othms(Z,Y),tc_^prop^log_^opl(Y)).
% 601134 [] c_in(c_^prop^log_^opl_^oop_^a_^n_62(c_^prop^log_^opl_^oop_^a_^n_62(X,Y,Z),c_^prop^log_^opl_^ofalse,Z),c_^prop^log_^othms(U,Z),tc_^prop^log_^opl(Z)) | -c_in(c_^prop^log_^opl_^oop_^a_^n_62(Y,c_^prop^log_^opl_^ofalse,Z),c_^prop^log_^othms(U,Z),tc_^prop^log_^opl(Z)) | -c_in(X,c_^prop^log_^othms(U,Z),tc_^prop^log_^opl(Z)).
% 601136 [] c_in(X,c_^prop^log_^othms(c_union(Y,Z,tc_^prop^log_^opl(U)),U),tc_^prop^log_^opl(U)) | -c_in(X,c_^prop^log_^othms(Y,U),tc_^prop^log_^opl(U)).
% 601137 [] c_in(X,c_^prop^log_^othms(c_union(Y,Z,tc_^prop^log_^opl(U)),U),tc_^prop^log_^opl(U)) | -c_in(X,c_^prop^log_^othms(Z,U),tc_^prop^log_^opl(U)).
% 601138 [] c_in(c_^prop^log_^opl_^oop_^a_^n_62(X,Y,Z),c_^prop^log_^othms(U,Z),tc_^prop^log_^opl(Z)) | -c_in(Y,c_^prop^log_^othms(U,Z),tc_^prop^log_^opl(Z)).
% 601139 [] c_in(v_pl1,c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)) | -c_^prop^log_^oeval(v_tt,v_pl1,t_a).
% 601140 [] c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,c_^prop^log_^opl_^ofalse,t_a),c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)) | c_^prop^log_^oeval(v_tt,v_pl1,t_a).
% 601141 [] c_in(v_pl2,c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl2,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)) | -c_^prop^log_^oeval(v_tt,v_pl2,t_a).
% 601142 [] c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl2,c_^prop^log_^opl_^ofalse,t_a),c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl2,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)) | c_^prop^log_^oeval(v_tt,v_pl2,t_a).
% 601143 [] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,v_pl2,t_a),c_^prop^log_^othms(c_union(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),c_^prop^log_^ohyps(v_pl2,v_tt,t_a),tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)) | c_^prop^log_^oeval(v_tt,v_pl1,t_a).
% 601144 [] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,v_pl2,t_a),c_^prop^log_^othms(c_union(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),c_^prop^log_^ohyps(v_pl2,v_tt,t_a),tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)) | -c_^prop^log_^oeval(v_tt,v_pl2,t_a).
% 601148 [?] ?
% 601325 [binary:601133,601142] c_^prop^log_^oeval(v_tt,v_pl2,t_a) | c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl2,X,t_a),c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl2,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)).
% 601339 [binary:601136,601143] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,v_pl2,t_a),c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)) | c_^prop^log_^oeval(v_tt,v_pl1,t_a).
% 601386 [binary:601133.2,601339,binarycut:601140] c_^prop^log_^oeval(v_tt,v_pl1,t_a).
% 601391 [binary:601139.2,601386] c_in(v_pl1,c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)).
% 601411 [binary:601136.2,601391] c_in(v_pl1,c_^prop^log_^othms(c_union(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),X,tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)).
% 601425 [binary:601137,601144] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,v_pl2,t_a),c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl2,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)) | -c_^prop^log_^oeval(v_tt,v_pl2,t_a).
% 601482 [binary:601134.3,601411] c_in(c_^prop^log_^opl_^oop_^a_^n_62(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,X,t_a),c_^prop^log_^opl_^ofalse,t_a),c_^prop^log_^othms(c_union(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),Y,tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)) | -c_in(c_^prop^log_^opl_^oop_^a_^n_62(X,c_^prop^log_^opl_^ofalse,t_a),c_^prop^log_^othms(c_union(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),Y,tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)).
% 601496 [input:601148,cut:601386] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,v_pl2,t_a),c_^prop^log_^opl_^ofalse,t_a),c_^prop^log_^othms(c_union(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),c_^prop^log_^ohyps(v_pl2,v_tt,t_a),tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)) | c_^prop^log_^oeval(v_tt,v_pl2,t_a).
% 603314 [binary:601138,601425,binarycut:601141] -c_^prop^log_^oeval(v_tt,v_pl2,t_a).
% 603316 [binary:601325,603314] c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl2,X,t_a),c_^prop^log_^othms(c_^prop^log_^ohyps(v_pl2,v_tt,t_a),t_a),tc_^prop^log_^opl(t_a)).
% 603317 [binary:601496.2,603314] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(c_^prop^log_^opl_^oop_^a_^n_62(v_pl1,v_pl2,t_a),c_^prop^log_^opl_^ofalse,t_a),c_^prop^log_^othms(c_union(c_^prop^log_^ohyps(v_pl1,v_tt,t_a),c_^prop^log_^ohyps(v_pl2,v_tt,t_a),tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)).
% 603339 [binary:601137.2,603316] c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pl2,X,t_a),c_^prop^log_^othms(c_union(Y,c_^prop^log_^ohyps(v_pl2,v_tt,t_a),tc_^prop^log_^opl(t_a)),t_a),tc_^prop^log_^opl(t_a)).
% 656919 [binary:603339,601482.2,cut:603317] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using sos 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 4
% seconds given: 87
% 
% 
% old unit clauses discarded
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    13716
%  derived clauses:   1433641
%  kept clauses:      310715
%  kept size sum:     0
%  kept mid-nuclei:   52947
%  kept new demods:   129
%  forw unit-subs:    150200
%  forw double-subs: 38761
%  forw overdouble-subs: 8846
%  backward subs:     771
%  fast unit cutoff:  16238
%  full unit cutoff:  6404
%  dbl  unit cutoff:  74
%  real runtime  :  117.39
%  process. runtime:  117.0
% specific non-discr-tree subsumption statistics: 
%  tried:           2489512
%  length fails:    311635
%  strength fails:  606845
%  predlist fails:  757730
%  aux str. fails:  117593
%  by-lit fails:    164195
%  full subs tried: 320077
%  full subs fail:  311235
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP21311/LCL/LCL442-1+eq_r.in")
% WARNING: TreeLimitedRun lost 114.69s, total lost is 114.69s
% 
%------------------------------------------------------------------------------