TSTP Solution File: SYN686-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN686-1 : 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 : art09.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 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
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%----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/SYN686-1+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 7)
% (binary-unit 10 #f 6 7)
% (binary-double 16 #f 6 7)
% (binary 54 #t 6 7)
% (binary-order 27 #f 6 7)
% (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(58,40,1,116,0,1)
%
%
% START OF PROOF
% 66 [] p8(f12(X,Y),f12(Z,U)) | -p3(Y,U) | -p11(X,Z).
% 67 [] p4(f5(X,Y),f5(Z,U)) | -p2(X,Z) | -p3(Y,U).
% 76 [] p9(f10(X,Y),f10(Z,U)) | -p4(Y,U) | -p8(X,Z).
% 78 [] -p30(X,Y) | -p4(Y,Z) | -p9(X,U) | p30(U,Z).
% 89 [] -p3(X,Z) | -p3(X,Y) | p3(Z,Y).
% 90 [] -p4(X,Z) | -p4(X,Y) | p4(Z,Y).
% 95 [] p30(f10(f12(c39,c36),c37),c41).
% 96 [] p4(f5(c32,f7(c33,c34)),c35).
% 97 [] p4(f5(c32,c36),c37).
% 98 [] p3(c42,f7(c33,c34)).
% 99 [] p3(c36,f7(c33,c34)).
% 104 [] p2(X,X).
% 110 [] p3(X,X).
% 111 [] p4(X,X).
% 113 [] p8(X,X).
% 115 [] p11(X,X).
% 116 [] -p30(f10(f12(c39,f7(c33,c34)),c35),c41).
% 184 [hyper:66,98,115] p8(f12(X,c42),f12(X,f7(c33,c34))).
% 186 [hyper:67,98,104] p4(f5(X,c42),f5(X,f7(c33,c34))).
% 195 [hyper:89,98,110] p3(f7(c33,c34),c42).
% 209 [hyper:89,99,110] p3(f7(c33,c34),c36).
% 250 [hyper:89,209,195] p3(c36,c42).
% 254 [hyper:66,250,115] p8(f12(X,c36),f12(X,c42)).
% 256 [hyper:67,250,104] p4(f5(X,c36),f5(X,c42)).
% 280 [hyper:76,254,111] p9(f10(f12(X,c36),Y),f10(f12(X,c42),Y)).
% 301 [hyper:90,256,97] p4(f5(c32,c42),c37).
% 598 [hyper:76,184,111] p9(f10(f12(X,c42),Y),f10(f12(X,f7(c33,c34)),Y)).
% 628 [hyper:90,186,301] p4(f5(c32,f7(c33,c34)),c37).
% 656 [hyper:90,628,96] p4(c37,c35).
% 675 [hyper:76,656,113] p9(f10(X,c37),f10(X,c35)).
% 899 [hyper:78,675,95,111] p30(f10(f12(c39,c36),c35),c41).
% 1496 [hyper:78,280,899,111] p30(f10(f12(c39,c42),c35),c41).
% 4970 [hyper:78,598,1496,111,cut:116] 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 6
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 259
% derived clauses: 11364
% kept clauses: 2755
% kept size sum: 51124
% kept mid-nuclei: 2059
% kept new demods: 0
% forw unit-subs: 6258
% forw double-subs: 140
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime: 0.19
% process. runtime: 0.18
% specific non-discr-tree subsumption statistics:
% tried: 152
% length fails: 0
% strength fails: 23
% predlist fails: 129
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 0
% full subs fail: 0
%
% ; 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/SYN686-1+noeq.in")
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