%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SYN704-1 : 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 69.9s
% Output : Assurance 69.9s
% 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/SYN704-1+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 8 7)
% (binary-unit 28 #f 8 7)
% (binary-double 28 #f)
% (binary-posweight-order 28 #f 8 7)
% (binary 28 #t 8 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(80,40,0,160,0,0,339495,4,4276,343091,50,4636,343091,40,4636,343171,0,4637,378848,3,6038,391850,4,6738,480233,5,7438,480235,5,7438,480235,1,7438,480235,50,7445,480235,40,7445,480315,0,7445)
%
%
% START OF PROOF
% 480236 [] p3(f8(f10(c49,f13(f16(f18(c50,X),Y),Z)),U),f13(f16(f18(c50,f20(f22(f24(f26(c56,X),Y),Z),U)),f30(f32(f34(f36(c57,X),Y),Z),U)),f40(f42(f44(f46(c58,X),Y),Z),U))).
% 480239 [] p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55).
% 480242 [] -p47(f5(c48,f13(f16(f18(c50,X),Y),Z)),U) | p47(X,U).
% 480243 [] p12(f40(X,Y),f40(Z,U)) | -p39(X,Z) | -p7(Y,U).
% 480251 [] p3(f13(X,Y),f13(Z,U)) | -p12(Y,U) | -p11(X,Z).
% 480252 [] p3(f8(X,Y),f8(Z,U)) | -p6(X,Z) | -p7(Y,U).
% 480258 [] p4(f5(X,Y),f5(Z,U)) | -p2(X,Z) | -p3(Y,U).
% 480263 [] -p47(X,Y) | -p4(X,Z) | -p7(Y,U) | p47(Z,U).
% 480275 [] -p3(X,Z) | -p3(X,Y) | p3(Z,Y).
% 480286 [] -p7(X,Z) | -p7(X,Y) | p7(Z,Y).
% 480289 [] p7(c54,c55).
% 480295 [] p2(X,X).
% 480301 [] p3(X,X).
% 480306 [] p39(X,X).
% 480307 [] p4(X,X).
% 480311 [] p6(X,X).
% 480312 [] p7(X,X).
% 480314 [] p11(X,X).
% 480315 [] -p47(f20(f22(f24(f26(c56,X),Y),Z),U),U).
% 480368 [binary:480306,480243.2] p12(f40(X,Y),f40(X,Z)) | -p7(Y,Z).
% 480416 [binary:480301,480275.2] -p3(X,Y) | p3(Y,X).
% 480419 [binary:480275,480416.2] -p3(Y,Z) | -p3(X,Y) | p3(X,Z).
% 480420 [binary:480275.2,480416.2] -p3(Y,Z) | -p3(X,Y) | p3(Z,X).
% 480509 [binary:480314,480251.3] p3(f13(X,Y),f13(X,Z)) | -p12(Y,Z).
% 480518 [binary:480312,480286.2] -p7(X,Y) | p7(Y,X).
% 480522 [binary:480289,480518] p7(c55,c54).
% 480534 [binary:480311,480252.2] p3(f8(X,Y),f8(X,Z)) | -p7(Y,Z).
% 480690 [binary:480295,480258.2] p4(f5(X,Y),f5(X,Z)) | -p3(Y,Z).
% 480723 [binary:480416.2,480419] -p3(Z,Y) | -p3(X,Y) | p3(X,Z).
% 480732 [binary:480236,480420.2] -p3(f13(f16(f18(c50,f20(f22(f24(f26(c56,X),Y),Z),U)),f30(f32(f34(f36(c57,X),Y),Z),U)),f40(f42(f44(f46(c58,X),Y),Z),U)),V) | p3(V,f8(f10(c49,f13(f16(f18(c50,X),Y),Z)),U)).
% 480768 [binary:480315,480263.4] -p4(X,f20(f22(f24(f26(c56,Y),Z),U),V)) | -p47(X,W) | -p7(W,V).
% 480773 [binary:480239,480263] -p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X) | -p7(c55,Y) | p47(X,Y).
% 480809 [binary:480307,480768] -p47(f20(f22(f24(f26(c56,X),Y),Z),U),V) | -p7(V,U).
% 480852 [binary:480242.2,480809] -p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,X),Y),Z),U)),V),W)),X1) | -p7(X1,U).
% 481349 [binary:480522,480368.2] p12(f40(X,c55),f40(X,c54)).
% 482541 [binary:481349,480509.2] p3(f13(X,f40(Y,c55)),f13(X,f40(Y,c54))).
% 482546 [binary:480289,480534.2] p3(f8(X,c54),f8(X,c55)).
% 482631 [binary:480723,482546] -p3(X,f8(Y,c55)) | p3(X,f8(Y,c54)).
% 483086 [binary:480416.2,480690.2] p4(f5(X,Y),f5(X,Z)) | -p3(Z,Y).
% 485298 [binary:483086.2,482631.2] p4(f5(X,f8(Y,c54)),f5(X,Z)) | -p3(Z,f8(Y,c55)).
% 491730 [binary:482541,480732] p3(f13(f16(f18(c50,f20(f22(f24(f26(c56,X),Y),Z),c55)),f30(f32(f34(f36(c57,X),Y),Z),c55)),f40(f42(f44(f46(c58,X),Y),Z),c54)),f8(f10(c49,f13(f16(f18(c50,X),Y),Z)),c55)).
% 497121 [binary:480773.3,480852,factor:cut:480312,binarydemod:485298,slowcut:491730] 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
% seconds given: 28
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 9431
% derived clauses: 1326975
% kept clauses: 104784
% kept size sum: 373303
% kept mid-nuclei: 110801
% kept new demods: 0
% forw unit-subs: 783928
% forw double-subs: 13836
% forw overdouble-subs: 17801
% backward subs: 228
% fast unit cutoff: 2031
% full unit cutoff: 82
% dbl unit cutoff: 0
% real runtime: 77.86
% process. runtime: 77.32
% specific non-discr-tree subsumption statistics:
% tried: 178785
% length fails: 166
% strength fails: 10999
% predlist fails: 64468
% aux str. fails: 297
% by-lit fails: 1980
% full subs tried: 95264
% full subs fail: 77463
%
% ; 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/SYN704-1+noeq.in")
%
%------------------------------------------------------------------------------