TSTP Solution File: SYN690-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SYN690-1 : 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 20.0s
% Output   : Assurance 20.0s
% 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/SYN690-1+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(62,40,1,124,0,1,50326,4,2038,125611,5,2702,125611,1,2702,125611,50,2702,125611,40,2702,125673,0,2702,126104,50,2704,126166,0,2704)
% 
% 
% START OF PROOF
% 126105 [] -p4(f5(X,f18(f20(f22(f24(c45,Y),Z),U),X)),f5(f7(Z,X),f18(f20(f22(f24(c45,Y),Z),U),X))) | -p4(f5(U,f18(f20(f22(f24(c45,Y),Z),U),X)),f5(f7(Z,U),f18(f20(f22(f24(c45,Y),Z),U),X))) | -p4(f5(f7(Z,f26(f28(c43,Y),Z)),f30(f32(c42,Y),Z)),f5(f7(Z,f26(f28(c44,Y),Z)),f30(f32(c42,Y),Z))) | -p34(c36,Y) | p2(U,X).
% 126106 [] -p4(f5(U,f18(f20(f22(f24(c45,Y),Z),U),X)),f5(f7(Z,U),f18(f20(f22(f24(c45,Y),Z),U),X))) | -p4(f5(X,f18(f20(f22(f24(c45,Y),Z),U),X)),f5(f7(Z,X),f18(f20(f22(f24(c45,Y),Z),U),X))) | p4(f5(f26(f28(c43,Y),Z),V),f5(f26(f28(c44,Y),Z),V)) | -p35(f10(Y,V),f30(f32(c42,Y),Z)) | -p34(c36,Y) | p2(U,X).
% 126109 [] -p4(f5(X,f12(f14(f16(c41,X),Y),Z)),f5(Y,f12(f14(f16(c41,X),Y),Z))) | p4(f5(f7(c39,X),Z),f5(f7(c39,Y),Z)).
% 126110 [] p35(f10(c37,f12(f14(f16(c41,X),Y),Z)),Z) | p4(f5(f7(c39,X),Z),f5(f7(c39,Y),Z)).
% 126145 [] p4(f5(c38,X),f5(f7(c39,c38),X)).
% 126146 [] p4(f5(c40,X),f5(f7(c39,c40),X)).
% 126147 [] p34(c36,c37).
% 126166 [] -p2(c38,c40).
% 126168 [binary:126166,126105.5] -p4(f5(c38,f18(f20(f22(f24(c45,X),Y),c38),c40)),f5(f7(Y,c38),f18(f20(f22(f24(c45,X),Y),c38),c40))) | -p4(f5(c40,f18(f20(f22(f24(c45,X),Y),c38),c40)),f5(f7(Y,c40),f18(f20(f22(f24(c45,X),Y),c38),c40))) | -p4(f5(f7(Y,f26(f28(c43,X),Y)),f30(f32(c42,X),Y)),f5(f7(Y,f26(f28(c44,X),Y)),f30(f32(c42,X),Y))) | -p34(c36,X).
% 126170 [binary:126166,126106.6] -p4(f5(c40,f18(f20(f22(f24(c45,X),Y),c38),c40)),f5(f7(Y,c40),f18(f20(f22(f24(c45,X),Y),c38),c40))) | -p4(f5(c38,f18(f20(f22(f24(c45,X),Y),c38),c40)),f5(f7(Y,c38),f18(f20(f22(f24(c45,X),Y),c38),c40))) | p4(f5(f26(f28(c43,X),Y),Z),f5(f26(f28(c44,X),Y),Z)) | -p35(f10(X,Z),f30(f32(c42,X),Y)) | -p34(c36,X).
% 126277 [binary:126168,126145,cut:126146] -p4(f5(f7(c39,f26(f28(c43,X),c39)),f30(f32(c42,X),c39)),f5(f7(c39,f26(f28(c44,X),c39)),f30(f32(c42,X),c39))) | -p34(c36,X).
% 126337 [binary:126147,126277.2] -p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))).
% 126350 [binary:126109.2,126337] -p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))).
% 126351 [binary:126110.2,126337] p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)).
% 126459 [binary:126170.4,126351,cut:126350,cut:126145,cut:126146,cut:126147] 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 11
% clause depth limited to 7
% seconds given: 10
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    753
%  derived clauses:   530750
%  kept clauses:      19911
%  kept size sum:     10305
%  kept mid-nuclei:   16217
%  kept new demods:   0
%  forw unit-subs:    66944
%  forw double-subs: 152944
%  forw overdouble-subs: 40658
%  backward subs:     29
%  fast unit cutoff:  81087
%  full unit cutoff:  1353
%  dbl  unit cutoff:  0
%  real runtime:  27.8
%  process. runtime:  27.5
% specific non-discr-tree subsumption statistics: 
%  tried:           3206948
%  length fails:    32541
%  strength fails:  43766
%  predlist fails:  453322
%  aux str. fails:  25010
%  by-lit fails:    349357
%  full subs tried: 2023484
%  full subs fail:  1986687
% 
% ; 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/SYN690-1+noeq.in")
% 
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