TSTP Solution File: COL090-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL090-1 : TPTP v3.4.2. Released v2.7.0.
% 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 20.0s
% Output : Assurance 20.0s
% 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/COL/COL090-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: medium
%
% strategies selected:
% (hyper 25 #f 5 9)
% (binary-unit 9 #f 5 9)
% (binary-double 9 #f 5 9)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 5 9)
% (binary-order 25 #f 5 9)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(33,40,0,66,0,0,175439,4,2016,209107,5,2501,209108,1,2504,209108,50,2510,209108,40,2510,209141,0,2510)
%
%
% START OF PROOF
% 209109 [] equal(X,X).
% 209110 [] -equal(comb^k,comb^s).
% 209112 [] -equal(comb^s,comb_app(X,Y)).
% 209113 [] -equal(comb_app(X,Y),comb_app(Z,U)) | equal(X,Z).
% 209114 [] -equal(comb_app(X,Y),comb_app(Z,U)) | equal(Y,U).
% 209115 [] equal(comb_app(X,Y),comb_app(Z,U)) | -equal(Y,U) | -equal(X,Z).
% 209119 [] member(comb^s,comb).
% 209122 [] member(pair(comb_app(comb_app(comb^k,X),Y),X),contract) | -member(Y,comb) | -member(X,comb).
% 209124 [] -member(pair(comb_app(X,Y),Z),contract) | ap_contract^e_c4(X,Y,Z) | ap_contract^e_c3(X,Y,Z) | ap_contract^e_c2(X,Y,Z) | ap_contract^e_c1(X,Y,Z).
% 209127 [] equal(X,comb_app(comb^k,Y)) | -ap_contract^e_c1(X,Z,Y).
% 209131 [] equal(X,comb_app(comb_app(ap_contract^e_sk1p(Y,Z,X),Z),comb_app(ap_contract^e_sk1q(Y,Z,X),Z))) | -ap_contract^e_c2(Y,Z,X).
% 209132 [] equal(X,comb_app(comb_app(comb^s,ap_contract^e_sk1p(X,Y,Z)),ap_contract^e_sk1q(X,Y,Z))) | -ap_contract^e_c2(X,Y,Z).
% 209133 [] member(pair(X,ap_contract^e_sk2q(X,Y,Z)),contract) | -ap_contract^e_c3(X,Y,Z).
% 209135 [] equal(X,comb_app(ap_contract^e_sk2q(Y,Z,X),Z)) | -ap_contract^e_c3(Y,Z,X).
% 209136 [] member(pair(X,ap_contract^e_sk3q(Y,X,Z)),contract) | -ap_contract^e_c4(Y,X,Z).
% 209138 [] equal(X,comb_app(Y,ap_contract^e_sk3q(Y,Z,X))) | -ap_contract^e_c4(Y,Z,X).
% 209139 [] -member(pair(comb^k,X),contract).
% 209140 [] -member(pair(comb^s,X),contract).
% 209141 [] member(pair(comb_app(comb_app(comb^s,comb^k),comb^k),r),contract).
% 209144 [input:209122,factor] member(pair(comb_app(comb_app(comb^k,X),X),X),contract) | -member(X,comb).
% 209157 [binary:209112,209113.2] -equal(comb_app(comb^s,X),comb_app(comb_app(Y,Z),U)).
% 209164 [binary:209110,209114.2] -equal(comb_app(X,comb^k),comb_app(Y,comb^s)).
% 209219 [binary:209112,209127] -ap_contract^e_c1(comb^s,X,Y).
% 209223 [binary:209164,209127] -ap_contract^e_c1(comb_app(X,comb^k),Y,comb^s).
% 209240 [para:209115.1.2,209223.1.1,slowcut:209109] -ap_contract^e_c1(comb_app(X,Y),Z,comb^s) | -equal(Y,comb^k).
% 209471 [binary:209112,209131] -ap_contract^e_c2(X,Y,comb^s).
% 209492 [binary:209112,209132] -ap_contract^e_c2(comb^s,X,Y).
% 209500 [binary:209140,209133] -ap_contract^e_c3(comb^s,X,Y).
% 209506 [binary:209112,209135] -ap_contract^e_c3(X,Y,comb^s).
% 209511 [binary:209124.3,209500,cut:209492,cut:209219] -member(pair(comb_app(comb^s,X),Y),contract) | ap_contract^e_c4(comb^s,X,Y).
% 209515 [binary:209139,209136] -ap_contract^e_c4(X,comb^k,Y).
% 209532 [binary:209112,209138] -ap_contract^e_c4(X,Y,comb^s).
% 209537 [binary:209124.2,209532,cut:209506,cut:209471] -member(pair(comb_app(X,Y),comb^s),contract) | ap_contract^e_c1(X,Y,comb^s).
% 209587 [binary:209119,209144.2,binarydemod:209240,209537] -equal(comb^s,comb^k).
% 209592 [binary:209113.2,209587] -equal(comb_app(comb^s,X),comb_app(comb^k,Y)).
% 209610 [binary:209127,209592] -ap_contract^e_c1(comb_app(comb^s,X),Y,Z).
% 209674 [binary:209141,209124,cut:209515,cut:209610] ap_contract^e_c3(comb_app(comb^s,comb^k),comb^k,r) | ap_contract^e_c2(comb_app(comb^s,comb^k),comb^k,r).
% 209835 [binary:209132,209157] -ap_contract^e_c2(comb_app(comb^s,X),Y,Z).
% 209853 [binary:209674.2,209835] ap_contract^e_c3(comb_app(comb^s,comb^k),comb^k,r).
% 209857 [binary:209133.2,209853,binarydemod:209511,cut:209515] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos 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 9
% clause depth limited to 5
% seconds given: 9
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 911
% derived clauses: 866154
% kept clauses: 77589
% kept size sum: 6773
% kept mid-nuclei: 4276
% kept new demods: 0
% forw unit-subs: 72462
% forw double-subs: 117
% forw overdouble-subs: 41492
% backward subs: 14
% fast unit cutoff: 10077
% full unit cutoff: 60
% dbl unit cutoff: 48
% real runtime : 25.14
% process. runtime: 25.12
% specific non-discr-tree subsumption statistics:
% tried: 1312184
% length fails: 7496
% strength fails: 5183
% predlist fails: 381911
% aux str. fails: 1032
% by-lit fails: 579864
% full subs tried: 129762
% full subs fail: 129706
%
% ; 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/COL090-1+eq_r.in")
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