TSTP Solution File: SWV286-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWV286-1 : TPTP v3.4.2. Released v3.2.0.
% 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 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s

% Result   : Unsatisfiable 84.4s
% Output   : Assurance 84.4s
% 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: /tmp/SystemOnTPTP11957/SWV/SWV286-1+eq_r.in
% 
% Some predicates or functions were curried and renamed.
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: big
% 
% strategies selected: 
% (hyper 28 #f 11 9)
% (binary-unit 28 #f 11 9)
% (binary-double 11 #f 11 9)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 11 9)
% (binary-order 28 #f 11 9)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
% 
% 
% **** EMPTY CLAUSE DERIVED ****
% 
% 
% timer checkpoints: c(1483,40,7,2966,0,13,294436,4,2121,295584,5,2814,295585,5,2820,295586,1,2820,295586,50,2846,295586,40,2846,297069,0,2848,346068,3,4250,365114,4,4950,368063,5,5650,368064,5,5654,368065,1,5654,368065,50,5660,368065,40,5660,369548,0,5661,396141,3,6212,407387,4,6487,409755,5,6762,409756,5,6763,409757,1,6763,409757,50,6766,409757,40,6766,411240,0,6768,443982,3,7619,461262,4,8044,464166,5,8469,464167,5,8471,464168,1,8471,464168,50,8475,464168,40,8475,465651,0,8476)
% 
% 
% START OF PROOF
% 464541 [] -c_in(c_^list_^olist_^o^cons(X,Y,Z),$ganapfun2($ganc1,U,Z),tc_^list_^olist(Z)) | c_in(X,U,Z).
% 464542 [] c_in(c_^list_^olist_^o^cons(X,Y,Z),$ganapfun2($ganc1,U,Z),tc_^list_^olist(Z)) | -c_in(Y,$ganapfun2($ganc1,U,Z),tc_^list_^olist(Z)) | -c_in(X,U,Z).
% 464543 [] c_in(c_^list_^olist_^o^nil,$ganapfun2($ganc1,X,Y),tc_^list_^olist(Y)).
% 465642 [] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(Y)))))))),c_^list_^oset(U,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^key(V))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Y),c_^message_^omsg_^o^m^pair($ganapfun5($ganc76,X,Y,V,Z,U),c_^message_^omsg_^o^key(V)))))),c_^list_^oset(U,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^says(W,X,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^key(V))))),c_^list_^oset(U,tc_^event_^oevent),tc_^event_^oevent) | -c_in(U,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 465643 [] c_in(c_^event_^oevent_^o^says(X,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Z),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^m^pair($ganapfun5($ganc77,Z,X,Y,U,V),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Z),c_^message_^omsg_^o^agent(X)))))))))),c_^list_^oset(V,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Z),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^key(W))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^key(W)))))),c_^list_^oset(V,tc_^event_^oevent),tc_^event_^oevent) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 465646 [] c_in(c_^event_^oevent_^o^says(v_^b_^h,v_^a,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^key(v_^k))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 465647 [] c_in(c_^event_^oevent_^o^says(v_^a,v_^b,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 465648 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 465649 [] -c_in(v_^b,c_^event_^obad,tc_^message_^oagent).
% 465650 [] c_in(v_evs,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 465651 [] -c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))))))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 465765 [binary:465642.3,465646,cut:465650,cut:465648] -c_in(c_^event_^oevent_^o^says(v_^a,X,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(X)))))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^key(v_^k))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair($ganapfun5($ganc76,v_^a,X,v_^k,v_^n^a,v_evs),c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 465841 [binary:464542.3,465647,binarydemod:465765,464541,slowcut:464543] c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^b,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^key(v_^k))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair($ganapfun5($ganc76,v_^a,v_^b,v_^k,v_^n^a,v_evs),c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 465945 [binary:465643,465651,cut:465650,cut:465649,slowcut:465841] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% 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: 17
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    9199
%  derived clauses:   559287
%  kept clauses:      226993
%  kept size sum:     5793
%  kept mid-nuclei:   18618
%  kept new demods:   113
%  forw unit-subs:    78473
%  forw double-subs: 21012
%  forw overdouble-subs: 2856
%  backward subs:     72
%  fast unit cutoff:  1739
%  full unit cutoff:  807
%  dbl  unit cutoff:  4
%  real runtime  :  85.22
%  process. runtime:  84.74
% specific non-discr-tree subsumption statistics: 
%  tried:           51932
%  length fails:    1036
%  strength fails:  1629
%  predlist fails:  16913
%  aux str. fails:  559
%  by-lit fails:    611
%  full subs tried: 26948
%  full subs fail:  24084
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP11957/SWV/SWV286-1+eq_r.in")
% WARNING: TreeLimitedRun lost 84.36s, total lost is 84.36s
% Killed 1 orphans
% 
%------------------------------------------------------------------------------