TSTP Solution File: SYN648-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN648-1 : 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 : art04.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 30.0s
% Output : Assurance 30.0s
% 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/SYN648-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 6 11)
% (binary-unit 10 #f 6 11)
% (binary-double 16 #f 6 11)
% (binary 54 #t 6 11)
% (binary-order 27 #f 6 11)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(44,40,1,88,0,1,245221,4,2028,249546,5,2702,249547,1,2702,249547,50,2708,249547,40,2708,249591,0,2708,277195,3,3209,287467,4,3459,336932,5,3709,336932,5,3709,336932,1,3709,336932,50,3713,336932,40,3713,336976,0,3713)
%
%
% START OF PROOF
% 336933 [] p24(f4(f6(c32,X),f17(f19(f21(f23(c33,Y),Z),U),X)),f9(f11(f13(f15(c34,Y),Z),U),X)) | -p3(Z,f4(U,c28)) | -p26(c31,X) | p24(Y,c29) | -p2(U,X) | -p3(Y,Z).
% 336934 [] -p24(f4(X,f17(f19(f21(f23(c33,Y),Z),U),X)),f9(f11(f13(f15(c34,Y),Z),U),X)) | -p3(Z,f4(U,c28)) | -p26(c31,X) | p24(Y,c29) | -p2(U,X) | -p3(Y,Z).
% 336936 [] p3(f4(X,Y),f4(Z,U)) | -p2(X,Z) | -p3(Y,U).
% 336946 [] -p24(X,Y) | -p3(X,Z) | -p8(Y,U) | p24(Z,U).
% 336947 [] -p24(f4(f6(c32,c30),X),Y) | p24(f4(c30,X),Y).
% 336952 [] -p2(X,Z) | -p2(X,Y) | p2(Z,Y).
% 336961 [] p26(c31,c30).
% 336962 [] p2(c27,c30).
% 336967 [] p2(X,X).
% 336971 [] p3(X,X).
% 336974 [] p8(X,X).
% 336976 [] -p24(f4(c27,c28),c29).
% 336987 [binary:336961,336934.3] -p24(f4(c30,f17(f19(f21(f23(c33,X),Y),Z),c30)),f9(f11(f13(f15(c34,X),Y),Z),c30)) | -p3(Y,f4(Z,c28)) | -p2(Z,c30) | p24(X,c29) | -p3(X,Y).
% 337014 [binary:336967,336952.2] -p2(X,Y) | p2(Y,X).
% 337019 [binary:336962,337014] p2(c30,c27).
% 337026 [binary:336971,336936.3] p3(f4(X,Y),f4(Z,Y)) | -p2(X,Z).
% 337279 [binary:336976,336946.4] -p3(X,f4(c27,c28)) | -p8(Y,c29) | -p24(X,Y).
% 337289 [binary:336933,336947,cut:336961] p24(f4(c30,f17(f19(f21(f23(c33,X),Y),Z),c30)),f9(f11(f13(f15(c34,X),Y),Z),c30)) | -p3(Y,f4(Z,c28)) | -p2(Z,c30) | p24(X,c29) | -p3(X,Y).
% 337298 [binary:336974,337279.2] -p3(X,f4(c27,c28)) | -p24(X,c29).
% 337665 [binary:337298.2,336987.4,factor:cut:336962,cut:336971] -p24(f4(c30,f17(f19(f21(f23(c33,X),X),c27),c30)),f9(f11(f13(f15(c34,X),X),c27),c30)) | -p3(X,f4(c27,c28)).
% 338092 [binary:337019,337026.2] p3(f4(c30,X),f4(c27,X)).
% 350079 [binary:337298.2,337289.4,factor:cut:336962,cut:336971,binarycut:337665,slowcut:338092] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using double 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 11
% clause depth limited to 6
% seconds given: 16
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5021
% derived clauses: 684803
% kept clauses: 105048
% kept size sum: 238410
% kept mid-nuclei: 67152
% kept new demods: 0
% forw unit-subs: 294642
% forw double-subs: 10443
% forw overdouble-subs: 12051
% backward subs: 16
% fast unit cutoff: 3584
% full unit cutoff: 48
% dbl unit cutoff: 9
% real runtime: 39.18
% process. runtime: 38.84
% specific non-discr-tree subsumption statistics:
% tried: 145708
% length fails: 58
% strength fails: 21119
% predlist fails: 42327
% aux str. fails: 331
% by-lit fails: 528
% full subs tried: 81269
% full subs fail: 69218
%
% ; 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/SYN648-1+noeq.in")
%
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