TSTP Solution File: SYN617-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SYN617-1 : 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 : art08.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 40.0s
% Output   : Assurance 40.0s
% 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: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SYN/SYN617-1+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 6 7)
% (binary-unit 28 #f 6 7)
% (binary-double 28 #f)
% (binary-posweight-order 28 #f 6 7)
% (binary 28 #t 6 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(32,40,0,64,0,0,116438,4,4277)
% 
% 
% START OF PROOF
% 33 [] p2(f4(f4(f3(X),f5(f6(c20))),Y),f3(f4(f4(X,f5(f6(c20))),Y))) | -p19(Y,X).
% 36 [] p13(f15(X,Y),f15(Z,U)) | -p2(X,Z) | -p11(Y,U).
% 40 [] -p13(X,Z) | -p13(X,Y) | p13(Z,Y).
% 41 [] -p2(X,Z) | -p2(X,Y) | p2(Z,Y).
% 44 [] -p11(X,Z) | -p11(X,Y) | p11(Z,Y).
% 45 [] p13(f15(f3(X),Y),f15(X,f12(Y))).
% 57 [] p11(f12(f14(X,Y)),Y).
% 58 [] p19(c21,c22).
% 59 [] p13(X,X).
% 60 [] p2(X,X).
% 63 [] p11(X,X).
% 64 [] -p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)).
% 82 [hyper:33,58] p2(f4(f4(f3(c22),f5(f6(c20))),c21),f3(f4(f4(c22,f5(f6(c20))),c21))).
% 96 [hyper:36,57,60] p13(f15(X,f12(f14(Y,Z))),f15(X,Z)).
% 100 [hyper:44,57,63] p11(X,f12(f14(Y,X))).
% 116 [hyper:36,100,60] p13(f15(X,Y),f15(X,f12(f14(Z,Y)))).
% 346 [hyper:40,45,59] p13(f15(X,f12(Y)),f15(f3(X),Y)).
% 418 [hyper:41,82,60] p2(f3(f4(f4(c22,f5(f6(c20))),c21)),f4(f4(f3(c22),f5(f6(c20))),c21)).
% 731 [hyper:40,96,346] p13(f15(f3(X),f14(Y,Z)),f15(X,Z)).
% 1263 [hyper:40,731,116] p13(f15(f3(X),f12(f14(Y,f14(Z,U)))),f15(X,U)).
% 116439 [binary:40.3,64] -p13(X,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24))) | -p13(X,f15(f4(f4(c22,f5(f6(c20))),c21),c24)).
% 116520 [binary:36,116439] -p13(f15(X,Y),f15(f4(f4(c22,f5(f6(c20))),c21),c24)) | -p2(X,f4(f4(f3(c22),f5(f6(c20))),c21)) | -p11(Y,f14(c23,c24)).
% 116522 [binary:1263,116520,cut:418,slowcut:57] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos 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 6
% seconds given: 57
% 
% 
% old unit clauses discarded
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    1697
%  derived clauses:   622260
%  kept clauses:      58240
%  kept size sum:     0
%  kept mid-nuclei:   9006
%  kept new demods:   0
%  forw unit-subs:    214437
%  forw double-subs: 15
%  forw overdouble-subs: 27
%  backward subs:     0
%  fast unit cutoff:  10
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime:  43.84
%  process. runtime:  43.80
% specific non-discr-tree subsumption statistics: 
%  tried:           60
%  length fails:    0
%  strength fails:  16
%  predlist fails:  4
%  aux str. fails:  0
%  by-lit fails:    4
%  full subs tried: 36
%  full subs fail:  9
% 
% ; 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/SYN617-1+noeq.in")
% 
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