TSTP Solution File: GRP203-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP203-1 : TPTP v3.4.2. Released v2.2.0.
% 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 0.0s
% Output : Assurance 0.0s
% 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/GRP203-1+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(5,40,0,10,0,0,19,50,0,24,0,0,50,50,3,55,0,3)
%
%
% START OF PROOF
% 52 [] equal(multiply(identity,X),X).
% 53 [] equal(multiply(left_inverse(X),X),identity).
% 54 [] equal(multiply(multiply(multiply(X,Y),X),Z),multiply(X,multiply(Y,multiply(X,Z)))).
% 55 [] -equal(multiply(multiply(multiply(a,b),c),b),multiply(a,multiply(b,multiply(c,b)))).
% 56 [para:52.1.1,54.1.1.1.1,demod:52] equal(multiply(multiply(X,identity),Y),multiply(X,Y)).
% 57 [para:53.1.1,54.1.1.1.1,demod:52] equal(multiply(left_inverse(X),Y),multiply(left_inverse(X),multiply(X,multiply(left_inverse(X),Y)))).
% 60 [para:56.1.1,54.1.1.1,demod:52] equal(multiply(multiply(X,X),Y),multiply(X,multiply(X,Y))).
% 62 [para:54.1.1,56.1.1.1,demod:54] equal(multiply(multiply(X,multiply(Y,multiply(X,identity))),Z),multiply(X,multiply(Y,multiply(X,Z)))).
% 72 [para:53.1.1,57.1.2.2.2,demod:53] equal(identity,multiply(left_inverse(X),multiply(X,identity))).
% 73 [para:57.1.2,54.1.1.1.1,demod:54] equal(multiply(left_inverse(X),multiply(Y,multiply(left_inverse(X),Z))),multiply(left_inverse(X),multiply(multiply(X,multiply(left_inverse(X),Y)),multiply(left_inverse(X),Z)))).
% 75 [para:54.1.1,72.1.2.2] equal(identity,multiply(left_inverse(multiply(multiply(X,Y),X)),multiply(X,multiply(Y,multiply(X,identity))))).
% 89 [para:60.1.1,62.1.1.1.2,demod:60] equal(multiply(multiply(X,multiply(Y,multiply(Y,multiply(X,identity)))),Z),multiply(X,multiply(Y,multiply(Y,multiply(X,Z))))).
% 90 [para:72.1.2,62.1.1.1.2,demod:56] equal(multiply(X,Y),multiply(X,multiply(left_inverse(X),multiply(X,Y)))).
% 92 [para:53.1.1,90.1.2.2.2,demod:53] equal(identity,multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),identity))).
% 119 [para:72.1.2,89.1.1.1.2.2] equal(multiply(multiply(X,multiply(left_inverse(X),identity)),Y),multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),multiply(X,Y))))).
% 124 [para:119.1.2,57.1.2.2.2,demod:52,92,119] equal(X,multiply(left_inverse(Y),multiply(Y,X))).
% 126 [para:57.1.2,119.1.2.2.2.2,demod:124,52,92] equal(multiply(X,multiply(left_inverse(X),Y)),multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),Y))).
% 133 [para:119.1.2,73.1.2.2.1.2,demod:52,92,124] equal(multiply(left_inverse(X),multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(left_inverse(X),Z))),multiply(left_inverse(X),multiply(multiply(X,Y),multiply(left_inverse(X),Z)))).
% 140 [para:53.1.1,124.1.2.2] equal(X,multiply(left_inverse(left_inverse(X)),identity)).
% 141 [para:124.1.2,54.1.1.1.1] equal(multiply(multiply(X,left_inverse(Y)),Z),multiply(left_inverse(Y),multiply(multiply(Y,X),multiply(left_inverse(Y),Z)))).
% 150 [para:124.1.2,90.1.2.2.2,demod:126,124] equal(X,multiply(Y,multiply(left_inverse(Y),X))).
% 162 [para:124.1.2,124.1.2.2] equal(multiply(X,Y),multiply(left_inverse(left_inverse(X)),Y)).
% 172 [para:53.1.1,150.1.2.2] equal(X,multiply(X,identity)).
% 173 [para:150.1.2,54.1.1.1.1] equal(multiply(multiply(X,Y),Z),multiply(Y,multiply(multiply(left_inverse(Y),X),multiply(Y,Z)))).
% 174 [para:150.1.2,60.1.1] equal(X,multiply(Y,multiply(Y,multiply(left_inverse(multiply(Y,Y)),X)))).
% 176 [para:150.1.2,75.1.2.2.2,demod:162,172,52,53] equal(identity,multiply(X,left_inverse(X))).
% 180 [para:172.1.2,54.1.1,demod:172] equal(multiply(multiply(X,Y),X),multiply(X,multiply(Y,X))).
% 186 [para:172.1.2,140.1.2] equal(X,left_inverse(left_inverse(X))).
% 187 [para:176.1.2,60.1.1] equal(identity,multiply(X,multiply(X,left_inverse(multiply(X,X))))).
% 194 [para:187.1.2,119.1.2.2.2.2,demod:150,52,176,172] equal(multiply(X,left_inverse(multiply(X,X))),left_inverse(X)).
% 197 [para:194.1.1,119.1.2.2.2.2,demod:150,52,176,172] equal(left_inverse(multiply(X,X)),multiply(left_inverse(X),left_inverse(X))).
% 199 [para:197.1.2,60.1.1.1] equal(multiply(left_inverse(multiply(X,X)),Y),multiply(left_inverse(X),multiply(left_inverse(X),Y))).
% 212 [para:119.1.2,180.1.1.1,demod:124,52,176,172] equal(multiply(X,Y),multiply(Y,multiply(multiply(left_inverse(Y),X),Y))).
% 221 [para:174.1.2,124.1.2.2] equal(multiply(X,multiply(left_inverse(multiply(X,X)),Y)),multiply(left_inverse(X),Y)).
% 223 [para:62.1.1,212.1.2.2,demod:150,53,172] equal(multiply(multiply(X,left_inverse(Y)),Y),X).
% 233 [para:54.1.1,223.1.1.1,demod:180] equal(multiply(multiply(X,multiply(Y,multiply(X,left_inverse(Z)))),Z),multiply(X,multiply(Y,X))).
% 237 [para:223.1.1,119.1.2.2.2.2,demod:221,199,52,176,172] equal(X,multiply(left_inverse(multiply(Y,left_inverse(X))),Y)).
% 238 [para:186.1.2,223.1.1.1.2] equal(multiply(multiply(X,Y),left_inverse(Y)),X).
% 251 [para:124.1.2,238.1.1.1] equal(multiply(X,left_inverse(multiply(Y,X))),left_inverse(Y)).
% 260 [para:237.1.2,238.1.1.1] equal(multiply(X,left_inverse(Y)),left_inverse(multiply(Y,left_inverse(X)))).
% 1218 [para:133.1.1,119.1.2.2.2.2,demod:124,141,52,53,172,186] equal(multiply(multiply(X,Y),multiply(left_inverse(X),Z)),multiply(X,multiply(multiply(Y,left_inverse(X)),Z))).
% 1224 [para:124.1.2,173.1.2.2.2,demod:186] equal(multiply(multiply(X,left_inverse(Y)),multiply(Y,Z)),multiply(left_inverse(Y),multiply(multiply(Y,X),Z))).
% 1276 [para:223.1.1,233.1.1.1.2,demod:260] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(multiply(Y,multiply(Z,left_inverse(X))),X))).
% 1690 [para:223.1.1,1276.1.2.2.1.2,demod:186] equal(multiply(multiply(X,Y),multiply(Z,X)),multiply(X,multiply(multiply(Y,Z),X))).
% 1693 [para:251.1.1,1276.1.2.2.1.2,demod:124,1690,1218,1224,slowcut:55] 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 kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 1
% clause depth limited to 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 271
% derived clauses: 60320
% kept clauses: 1671
% kept size sum: 37055
% kept mid-nuclei: 0
% kept new demods: 1679
% forw unit-subs: 39268
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 15
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 1.96
% process. runtime: 1.94
% 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/GRP/GRP203-1+eq_r.in")
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