TSTP Solution File: SYN708-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SYN708-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art05.cs.miami.edu
% Model    : i686 unknown
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1000MB
% OS       : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s

% Result   : Unsatisfiable 39.6s
% Output   : Assurance 39.6s
% 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: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SYN/SYN708-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: hne
% detected subclass: medium
% detected subclass: long
% 
% strategies selected: 
% (hyper 57 #f 28 7)
% (binary-unit 28 #f 28 7)
% (binary-double 28 #f)
% (binary-posweight-order 28 #f 28 7)
% (binary 28 #t 28 7)
% (hyper 28 #t)
% (hyper 159 #f)
% (binary-posweight-order 85 #f)
% (binary-weightorder 39 #f)
% (binary-order 28 #f)
% (binary-unit 45 #f)
% (binary 47 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(83,40,0,166,0,0,2073570,4,4280,2073590,50,4315,2073590,40,4315,2073673,0,4315)
% 
% 
% START OF PROOF
% 2073607 [] p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))).
% 2073609 [] p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))).
% 2073619 [] p39(f19(X),f19(Y)) | -p37(X,Y) | -p38(X) | -p38(Y).
% 2073621 [] -p39(X,Y) | -p16(X,U) | -p16(Y,Z) | p39(U,Z).
% 2073622 [] -p37(X,Y) | -p10(X,U) | -p10(Y,Z) | p37(U,Z).
% 2073637 [] p16(f19(f15(X)),f28(f19(X))) | -p38(X).
% 2073658 [] p38(f15(X)) | -p38(X).
% 2073659 [] p37(f15(c56),c48).
% 2073662 [] p16(X,X).
% 2073667 [] p10(X,X).
% 2073668 [] p38(c56).
% 2073673 [] -p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))).
% 2073690 [binary:2073668,2073658.2] p38(f15(c56)).
% 2073800 [binary:2073668,2073637.2] p16(f19(f15(c56)),f28(f19(c56))).
% 2075012 [binary:2073662,2073621.3] -p39(X,Y) | -p16(X,Z) | p39(Z,Y).
% 2075140 [binary:2073673,2075012.3] -p39(X,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) | -p16(X,f28(f19(c56))).
% 2075188 [binary:2073667,2073622.2] -p37(X,Y) | -p10(Y,Z) | p37(X,Z).
% 2075208 [binary:2073659,2075188] p37(f15(c56),X) | -p10(c48,X).
% 2075218 [binary:2073607,2075208.2] p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))).
% 2075518 [binary:2073800,2075140.2] -p39(f19(f15(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))).
% 2075584 [binary:2073619,2075518,cut:2075218,cut:2073690,cut:2073609] 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 7
% clause depth limited to 28
% seconds given: 28
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    968
%  derived clauses:   2179588
%  kept clauses:      79637
%  kept size sum:     39023
%  kept mid-nuclei:   16354
%  kept new demods:   0
%  forw unit-subs:    93802
%  forw double-subs: 14
%  forw overdouble-subs: 0
%  backward subs:     0
%  fast unit cutoff:  4
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime:  43.66
%  process. runtime:  43.20
% specific non-discr-tree subsumption statistics: 
%  tried:           2960
%  length fails:    0
%  strength fails:  61
%  predlist fails:  2682
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 217
%  full subs fail:  217
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SYN/SYN708-1+noeq.in")
% 
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