TSTP Solution File: ANA039-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : ANA039-1 : 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 : art04.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s

% Result   : Unsatisfiable 84.5s
% Output   : Assurance 84.5s
% 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/SystemOnTPTP4851/ANA/ANA039-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: big
% 
% strategies selected: 
% (hyper 28 #f 4 7)
% (binary-unit 28 #f 4 7)
% (binary-double 11 #f 4 7)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 4 7)
% (binary-order 28 #f 4 7)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(1419,40,6,2838,0,13,398650,4,2118,408486,5,2814,408487,1,2814,408487,50,2820,408487,40,2820,409906,0,2821,445766,3,4222,447380,4,4922,455823,5,5622,455825,5,5622,455825,1,5622,455825,50,5626,455825,40,5626,457244,0,5627,477612,3,6178,480860,4,6453,495804,5,6728,495806,5,6728,495806,1,6728,495806,50,6730,495806,40,6730,497225,0,6731,529055,3,7582,533474,4,8009,568154,5,8432,568155,5,8432,568155,1,8432,568155,50,8434,568155,40,8434,569574,0,8440)
% 
% 
% START OF PROOF
% 568344 [] -c_lessequals(c_^set^interval_^oat^least(X,Y),c_^set^interval_^oat^least(Z,Y),tc_set(Y)) | c_lessequals(Z,X,Y) | -class_^orderings_^oorder(Y).
% 568345 [] c_lessequals(c_^set^interval_^oat^least(X,Y),c_^set^interval_^oat^least(Z,Y),tc_set(Y)) | -c_lessequals(Z,X,Y) | -class_^orderings_^oorder(Y).
% 568364 [] -c_lessequals(c_uminus(X,tc_set(Y)),c_uminus(Z,tc_set(Y)),tc_set(Y)) | c_lessequals(Z,X,tc_set(Y)).
% 568365 [] c_lessequals(c_uminus(X,tc_set(Y)),c_uminus(Z,tc_set(Y)),tc_set(Y)) | -c_lessequals(Z,X,tc_set(Y)).
% 569240 [] -class_^ring__and__^field_^oordered__idom(X) | class_^ring__and__^field_^opordered__semiring(X).
% 569242 [] -class_^ring__and__^field_^oordered__idom(X) | class_^orderings_^oorder(X).
% 569249 [] -class_^ring__and__^field_^oordered__idom(X) | class_^ordered^group_^olordered__ab__group__abs(X).
% 569567 [] c_lessequals(X,c_^h^o^l_^oabs(X,Y),Y) | -class_^ordered^group_^olordered__ab__group__abs(Y).
% 569568 [] c_lessequals(c_0,c_^h^o^l_^oabs(X,Y),Y) | -class_^ordered^group_^olordered__ab__group__abs(Y).
% 569569 [] -c_lessequals(X,Y,Z) | -c_lessequals(Y,U,Z) | c_lessequals(X,U,Z) | -class_^orderings_^oorder(Z).
% 569570 [] c_lessequals(c_times(X,Y,Z),c_times(U,Y,Z),Z) | -c_lessequals(c_0,Y,Z) | -c_lessequals(X,U,Z) | -class_^ring__and__^field_^opordered__semiring(Z).
% 569571 [] c_lessequals(c_^h^o^l_^oabs(v_h(X),t_a),c_times(v_c,c_^h^o^l_^oabs(v_f(X),t_a),t_a),t_a).
% 569573 [] -c_lessequals(c_^h^o^l_^oabs(v_h(v_x),t_a),c_times(c_^h^o^l_^oabs(v_c,t_a),c_^h^o^l_^oabs(v_f(v_x),t_a),t_a),t_a).
% 569574 [] class_^ring__and__^field_^oordered__idom(t_a).
% 569612 [binary:569240,569574] class_^ring__and__^field_^opordered__semiring(t_a).
% 569614 [binary:569242,569574] class_^orderings_^oorder(t_a).
% 569621 [binary:569249,569574] class_^ordered^group_^olordered__ab__group__abs(t_a).
% 569654 [binary:569569,569571,cut:569614] -c_lessequals(c_times(v_c,c_^h^o^l_^oabs(v_f(X),t_a),t_a),Y,t_a) | c_lessequals(c_^h^o^l_^oabs(v_h(X),t_a),Y,t_a).
% 569712 [binary:568344.2,569573,cut:569614] -c_lessequals(c_^set^interval_^oat^least(c_times(c_^h^o^l_^oabs(v_c,t_a),c_^h^o^l_^oabs(v_f(v_x),t_a),t_a),t_a),c_^set^interval_^oat^least(c_^h^o^l_^oabs(v_h(v_x),t_a),t_a),tc_set(t_a)).
% 569757 [binary:568345.3,569614] c_lessequals(c_^set^interval_^oat^least(X,t_a),c_^set^interval_^oat^least(Y,t_a),tc_set(t_a)) | -c_lessequals(Y,X,t_a).
% 569772 [binary:569568.2,569621] c_lessequals(c_0,c_^h^o^l_^oabs(X,t_a),t_a).
% 570105 [binary:569570,569654,cut:569772,cut:569612] c_lessequals(c_^h^o^l_^oabs(v_h(X),t_a),c_times(Y,c_^h^o^l_^oabs(v_f(X),t_a),t_a),t_a) | -c_lessequals(v_c,Y,t_a).
% 573820 [binary:568364.2,569712,binarydemod:569567,570105,569757,568365,cut:569621] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 17
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    13430
%  derived clauses:   1294378
%  kept clauses:      160810
%  kept size sum:     67030
%  kept mid-nuclei:   61986
%  kept new demods:   111
%  forw unit-subs:    152317
%  forw double-subs: 53244
%  forw overdouble-subs: 6228
%  backward subs:     69
%  fast unit cutoff:  14721
%  full unit cutoff:  6502
%  dbl  unit cutoff:  1
%  real runtime  :  85.39
%  process. runtime:  84.85
% specific non-discr-tree subsumption statistics: 
%  tried:           543140
%  length fails:    1701
%  strength fails:  28965
%  predlist fails:  115653
%  aux str. fails:  5623
%  by-lit fails:    60913
%  full subs tried: 38408
%  full subs fail:  32168
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP4851/ANA/ANA039-1+eq_r.in")
% WARNING: TreeLimitedRun lost 84.53s, total lost is 84.53s
% Killed 1 orphans
% 
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