TSTP Solution File: GRP012-3 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP012-3 : 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 : art06.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 39.0s
% Output : Assurance 39.0s
% 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/GRP/GRP012-3+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: small
% detected subclass: long
%
% strategies selected:
% (hyper 57 #f 3 7)
% (binary-posweight-order 28 #f 3 7)
% (binary-unit 28 #f 3 7)
% (hyper 188 #f)
% (binary-unit-uniteq 16 #f)
% (binary-weightorder 22 #f)
% (binary-posweight-order 114 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 28 #f)
% (binary 22 #t)
% (binary-unit 58 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(10,40,0,20,0,0,7075,50,40,7085,0,40,163161,4,4319)
%
%
% START OF PROOF
% 7076 [] equal(X,X).
% 7077 [] product(identity,X,X).
% 7078 [] product(X,identity,X).
% 7079 [] product(inverse(X),X,identity).
% 7080 [] product(X,inverse(X),identity).
% 7081 [] product(X,Y,multiply(X,Y)).
% 7082 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 7083 [] -product(U,Y,V) | -product(W,X,U) | -product(X,Y,Z) | product(W,Z,V).
% 7084 [] -product(U,Z,V) | -product(U,X,W) | -product(X,Y,Z) | product(W,Y,V).
% 7085 [] -equal(inverse(multiply(a,b)),multiply(inverse(b),inverse(a))).
% 7190 [hyper:7082,7081,7077] equal(X,multiply(identity,X)).
% 7191 [hyper:7082,7081,7078] equal(X,multiply(X,identity)).
% 7204 [hyper:7083,7081,7081,7079,demod:7190] product(inverse(X),multiply(X,Y),Y).
% 7206 [hyper:7083,7081,7081,7081] product(X,multiply(Y,Z),multiply(multiply(X,Y),Z)).
% 7237 [hyper:7084,7081,7081,7080,demod:7191] product(multiply(X,Y),inverse(Y),X).
% 7498 [hyper:7082,7204,7081] equal(multiply(inverse(X),multiply(X,Y)),Y).
% 7562 [hyper:7084,7204,7080,7078] product(X,inverse(multiply(Y,X)),inverse(Y)).
% 7889 [hyper:7082,7237,7081] equal(multiply(multiply(X,Y),inverse(Y)),X).
% 8274 [hyper:7082,7562,7081] equal(multiply(X,inverse(multiply(Y,X))),inverse(Y)).
% 8694 [hyper:7082,7206,7081] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 9111 [para:7889.1.1,7498.1.1.2] equal(multiply(inverse(multiply(X,Y)),X),inverse(Y)).
% 9396 [para:8274.1.1,7498.1.1.2] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(Y,X))).
% 30739 [para:9111.1.1,8694.1.2.1] equal(multiply(inverse(multiply(X,Y)),multiply(X,Z)),multiply(inverse(Y),Z)).
% 163162 [para:30739.1.2,7085.1.2,demod:9396,30739,cut:7076] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 7
% clause depth limited to 4
% seconds given: 57
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 265
% derived clauses: 3914131
% kept clauses: 287
% kept size sum: 3566
% kept mid-nuclei: 162838
% kept new demods: 29
% forw unit-subs: 2973992
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 8
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 44.21
% process. runtime: 43.19
% specific non-discr-tree subsumption statistics:
% tried: 1024
% length fails: 0
% strength fails: 118
% predlist fails: 82
% aux str. fails: 202
% by-lit fails: 0
% full subs tried: 622
% full subs fail: 622
%
% ; 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/GRP/GRP012-3+eq_r.in")
%
%------------------------------------------------------------------------------