TSTP Solution File: COL011-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL011-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art02.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 59.5s
% Output : Assurance 59.5s
% 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/COL/COL011-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 4 1)
% (binary-posweight-lex-big-order 30 #f 4 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(4,40,0,8,0,1,28,50,3,32,0,3,1788,3,2979,2165,4,4455,2287,5,5904,2287,1,5904,2287,50,5904,2287,40,5904,2291,0,5904,2385,50,5920,2389,0,5921)
%
%
% START OF PROOF
% 2387 [] equal(apply(apply(o,X),Y),apply(Y,apply(X,Y))).
% 2388 [] equal(apply(apply(apply(q1,X),Y),Z),apply(X,apply(Z,Y))).
% 2389 [] -equal(X,apply(combinator,X)).
% 2394 [para:2387.1.2,2387.1.2.2] equal(apply(apply(o,X),apply(Y,X)),apply(apply(Y,X),apply(apply(o,Y),X))).
% 2397 [para:2388.1.2,2389.1.2] -equal(apply(X,Y),apply(apply(apply(q1,combinator),Y),X)).
% 2399 [para:2388.1.2,2387.1.1.1] equal(apply(apply(apply(apply(q1,o),X),Y),Z),apply(Z,apply(apply(Y,X),Z))).
% 2406 [para:2387.1.1,2388.1.2.2] equal(apply(apply(apply(q1,X),Y),apply(o,Z)),apply(X,apply(Y,apply(Z,Y)))).
% 2407 [para:2387.1.2,2388.1.2.2] equal(apply(apply(apply(q1,X),apply(Y,Z)),Z),apply(X,apply(apply(o,Y),Z))).
% 2425 [para:2387.1.2,2397.1.2] -equal(apply(apply(X,apply(apply(q1,combinator),Y)),Y),apply(apply(o,X),apply(apply(q1,combinator),Y))).
% 2590 [para:2388.1.2,2394.1.2.1] equal(apply(apply(o,apply(X,Y)),apply(Z,apply(X,Y))),apply(apply(apply(apply(q1,Z),Y),X),apply(apply(o,Z),apply(X,Y)))).
% 2694 [para:2399.1.2,2387.1.2] equal(apply(apply(o,apply(X,Y)),Z),apply(apply(apply(apply(q1,o),Y),X),Z)).
% 2829 [para:2406.1.1,2388.1.2.2] equal(apply(apply(apply(q1,X),apply(o,Y)),apply(apply(q1,Z),U)),apply(X,apply(Z,apply(U,apply(Y,U))))).
% 3463 [para:2407.1.1,2425.1.1] -equal(apply(X,apply(apply(o,apply(q1,combinator)),Y)),apply(apply(o,apply(q1,X)),apply(apply(q1,combinator),Y))).
% 5187 [para:2590.1.1,2694.1.1] equal(apply(apply(apply(apply(q1,X),Y),Z),apply(apply(o,X),apply(Z,Y))),apply(apply(apply(apply(q1,o),Y),Z),apply(X,apply(Z,Y)))).
% 5292 [para:2829.1.2,3463.1.2.1,slowcut:5187] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 1
% clause depth limited to 5
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1129
% derived clauses: 2031495
% kept clauses: 5270
% kept size sum: 157956
% kept mid-nuclei: 0
% kept new demods: 374
% forw unit-subs: 242517
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 335
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 69.68
% process. runtime: 69.14
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% strength fails: 0
% predlist fails: 0
% 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/COL/COL011-1+eq_r.in")
%
%------------------------------------------------------------------------------