%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : FLD025-1 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art07.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 79.1s
% Output : Assurance 79.1s
% 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/FLD/FLD025-1+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 3 7)
% (binary-unit 10 #f 3 7)
% (binary-double 16 #f 3 7)
% (binary 54 #t 3 7)
% (binary-order 27 #f 3 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(34,40,0,68,0,0,759608,4,2027,759637,50,2056,759637,40,2056,759671,0,2056,799136,3,2557,807550,4,2807,829852,5,3057,829852,1,3057,829852,50,3061,829852,40,3061,829886,0,3061,894405,3,3862,909510,4,4263,971794,5,4662,971795,5,4663,971795,1,4663,971795,50,4669,971795,40,4669,971829,0,4669,1091182,3,7370,1117157,4,8720)
%
%
% START OF PROOF
% 971803 [] equalish(multiply(X,Y),multiply(Y,X)) | -defined(X) | -defined(Y).
% 971818 [] -equalish(X,Y) | -equalish(Y,Z) | equalish(X,Z).
% 971820 [] equalish(multiply(X,Y),multiply(Z,Y)) | -equalish(X,Z) | -defined(Y).
% 971824 [] defined(b).
% 971825 [] defined(c).
% 971827 [] equalish(a,b).
% 971828 [] equalish(c,d).
% 971829 [] -equalish(multiply(a,c),multiply(d,b)).
% 971870 [binary:971803.2,971824] equalish(multiply(b,X),multiply(X,b)) | -defined(X).
% 971885 [binary:971820.3,971824] equalish(multiply(X,b),multiply(Y,b)) | -equalish(X,Y).
% 971963 [binary:971820.2,971827] equalish(multiply(a,X),multiply(b,X)) | -defined(X).
% 972026 [binary:971818.3,971829] -equalish(X,multiply(d,b)) | -equalish(multiply(a,c),X).
% 974551 [binary:971818,971870] -equalish(multiply(X,b),Y) | equalish(multiply(b,X),Y) | -defined(X).
% 975875 [binary:971828,971885.2] equalish(multiply(c,b),multiply(d,b)).
% 990148 [binary:971963,972026.2,cut:971825] -equalish(multiply(b,c),multiply(d,b)).
% 1141402 [binary:975875,974551,cut:990148,cut:971825] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using sos strategy
% using unit paramodulation 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 7
% clause depth limited to 3
% seconds given: 54
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 8796
% derived clauses: 3995498
% kept clauses: 283357
% kept size sum: 0
% kept mid-nuclei: 111887
% kept new demods: 0
% forw unit-subs: 106326
% forw double-subs: 117670
% forw overdouble-subs: 12472
% backward subs: 6
% fast unit cutoff: 16688
% full unit cutoff: 0
% dbl unit cutoff: 293
% real runtime : 89.74
% process. runtime: 88.70
% specific non-discr-tree subsumption statistics:
% tried: 227996
% length fails: 70
% strength fails: 16874
% predlist fails: 97710
% aux str. fails: 418
% by-lit fails: 34
% full subs tried: 103722
% full subs fail: 96610
%
% ; 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/FLD/FLD025-1+noeq.in")
%
%------------------------------------------------------------------------------