TSTP Solution File: COL123-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : COL123-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art10.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% 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: /tmp/SystemOnTPTP3321/COL/COL123-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: hne
% detected subclass: small
% detected subclass: short
%
% strategies selected:
% (hyper 29 #f 3 5)
% (binary-unit 11 #f 3 5)
% (binary-double 17 #f 3 5)
% (hyper 29 #f)
% (binary-unit 34 #f)
% (binary-weightorder 40 #f)
% (binary 17 #t)
% (binary-order 29 #f)
% (binary-posweight-order 111 #f 3 5)
% (binary-posweight-order 283 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(9,40,0,18,0,0,140,50,0,149,0,0)
%
%
% START OF PROOF
% 141 [] c_in(X,c_^transitive__^closure_^ortrancl(Y,Z),tc_prod(Z,Z)) | -c_in(X,Y,tc_prod(Z,Z)).
% 142 [] -c_in(c_^pair(V,X,Z,Z),c_^transitive__^closure_^ortrancl(U,Z),tc_prod(Z,Z)) | -c_in(c_^pair(X,Y,Z,Z),c_^transitive__^closure_^ortrancl(U,Z),tc_prod(Z,Z)) | c_in(c_^pair(V,Y,Z,Z),c_^transitive__^closure_^ortrancl(U,Z),tc_prod(Z,Z)).
% 143 [] c_in(c_^pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 144 [] c_in(c_^pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 145 [] c_in(c_^pair(X,v_xaa(X),t_a,t_a),c_^transitive__^closure_^ortrancl(v_r,t_a),tc_prod(t_a,t_a)) | -c_in(c_^pair(v_x,X,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 146 [] c_in(c_^pair(v_y,v_xaa(X),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_^pair(v_x,X,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 147 [] -c_in(c_^pair(v_xb,X,t_a,t_a),c_^transitive__^closure_^ortrancl(v_r,t_a),tc_prod(t_a,t_a)) | -c_in(c_^pair(v_z,X,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 148 [] c_in(c_^pair(X,v_xa(Y,X,Z),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_^pair(Y,Z,t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_^pair(Y,X,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 149 [] c_in(c_^pair(X,v_xa(Y,Z,X),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_^pair(Y,X,t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_^pair(Y,Z,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 156 [hyper:145,144] c_in(c_^pair(v_xb,v_xaa(v_xb),t_a,t_a),c_^transitive__^closure_^ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 157 [hyper:146,144] c_in(c_^pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 168 [hyper:148,157,143] c_in(c_^pair(v_xaa(v_xb),v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 172 [hyper:149,157,143] c_in(c_^pair(v_z,v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 220 [hyper:141,168] c_in(c_^pair(v_xaa(v_xb),v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),c_^transitive__^closure_^ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 332 [hyper:142,220,156] c_in(c_^pair(v_xb,v_xa(v_y,v_xaa(v_xb),v_z),t_a,t_a),c_^transitive__^closure_^ortrancl(v_r,t_a),tc_prod(t_a,t_a)).
% 336 [hyper:147,332,cut:172] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 4
% seconds given: 29
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 69
% derived clauses: 492
% kept clauses: 68
% kept size sum: 1042
% kept mid-nuclei: 226
% kept new demods: 0
% forw unit-subs: 106
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.12
% process. runtime: 0.1
% 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" "/tmp/SystemOnTPTP3321/COL/COL123-2+noeq.in")
% Killed 1 orphans
%
%------------------------------------------------------------------------------