TSTP Solution File: LCL434-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : LCL434-1 : 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 : 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 0.0s
% Output   : Assurance 0.0s
% 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/SystemOnTPTP29007/LCL/LCL434-1+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(1376,40,6,2752,0,12)
% 
% 
% START OF PROOF
% 1387 [] c_in(X,c_^prop^log_^othms(Y,Z),tc_^prop^log_^opl(Z)) | -c_in(X,Y,tc_^prop^log_^opl(Z)).
% 1539 [] -c_in(X,c_uminus(Y,tc_set(Z)),Z) | -c_in(X,Y,Z).
% 1540 [] c_in(X,c_uminus(Y,tc_set(Z)),Z) | c_in(X,Y,Z).
% 1564 [] -c_in(X,c_insert(Y,Z,U),U) | c_in(X,Z,U) | equal(X,Y).
% 2749 [] c_in(c_^prop^log_^opl_^oop_^a_^n_62(X,X,Y),c_^prop^log_^othms(Z,Y),tc_^prop^log_^opl(Y)).
% 2750 [] 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)).
% 2751 [] c_in(v_pa,c_insert(v_p,v_^h,tc_^prop^log_^opl(t_a)),tc_^prop^log_^opl(t_a)).
% 2752 [] -c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_p,v_pa,t_a),c_^prop^log_^othms(v_^h,t_a),tc_^prop^log_^opl(t_a)).
% 2764 [hyper:1564,2751] c_in(v_pa,v_^h,tc_^prop^log_^opl(t_a)) | equal(v_pa,v_p).
% 2774 [hyper:1387,2764] c_in(v_pa,c_^prop^log_^othms(v_^h,t_a),tc_^prop^log_^opl(t_a)) | equal(v_pa,v_p).
% 2821 [hyper:2750,2774,slowcut:2752] equal(v_pa,v_p).
% 4661 [hyper:2752,1540] c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_p,v_pa,t_a),c_uminus(c_^prop^log_^othms(v_^h,t_a),tc_set(tc_^prop^log_^opl(t_a))),tc_^prop^log_^opl(t_a)).
% 4972 [para:2821.1.2,4661.1.1.1] c_in(c_^prop^log_^opl_^oop_^a_^n_62(v_pa,v_pa,t_a),c_uminus(c_^prop^log_^othms(v_^h,t_a),tc_set(tc_^prop^log_^opl(t_a))),tc_^prop^log_^opl(t_a)).
% 4983 [hyper:1539,4972,cut:2749] 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 7
% clause depth limited to 4
% seconds given: 28
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    838
%  derived clauses:   7746
%  kept clauses:      852
%  kept size sum:     20650
%  kept mid-nuclei:   757
%  kept new demods:   18
%  forw unit-subs:    2446
%  forw double-subs: 147
%  forw overdouble-subs: 30
%  backward subs:     29
%  fast unit cutoff:  13
%  full unit cutoff:  5
%  dbl  unit cutoff:  0
%  real runtime  :  0.49
%  process. runtime:  0.49
% specific non-discr-tree subsumption statistics: 
%  tried:           1639
%  length fails:    21
%  strength fails:  4
%  predlist fails:  14
%  aux str. fails:  0
%  by-lit fails:    2
%  full subs tried: 1597
%  full subs fail:  1567
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP29007/LCL/LCL434-1+eq_r.in")
% 
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