TSTP Solution File: SWC025-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWC025-1 : TPTP v3.4.2. Released v2.4.0.
% 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 367.6s
% Output   : Assurance 367.6s
% 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/SWC/SWC025-1+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 5 19)
% (binary-unit 28 #f 5 19)
% (binary-double 11 #f 5 19)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 5 19)
% (binary-order 28 #f 5 19)
% (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(199,40,1,398,0,1,55258,4,2198,57276,5,2803,57277,1,2805,57277,50,2807,57277,40,2807,57476,0,2807,149835,3,4211,173929,4,4930,192521,5,5616,192523,1,5618,192523,50,5621,192523,40,5621,192722,0,5622,242524,3,6175,257983,4,6452,268719,5,6723,268719,5,6724,268719,1,6724,268719,50,6727,268719,40,6727,268918,0,6727,337255,3,7580,358810,4,8005,372694,5,8428,372695,5,8430,372696,1,8430,372696,50,8433,372696,40,8433,372895,0,8433,453045,3,9285,482807,4,9711,499389,5,10134,499390,5,10135,499391,1,10135,499391,50,10138,499391,40,10138,499590,0,10138,802989,3,14491,878683,4,16664,951895,5,18840,951896,1,18840,951896,50,18843,951896,40,18843,952095,0,18843,992772,3,20244,993761,4,20944,997678,5,21644,997679,1,21644,997679,50,21645,997679,40,21645,997878,0,21646,1252189,3,24547,1324962,4,25997,1385865,5,27448,1385866,1,27448,1385866,50,27454,1385866,40,27454,1386065,0,27483,1540587,3,28885,1570032,4,29585,1614888,5,30284,1614889,5,30285,1614889,1,30285,1614889,50,30291,1614889,40,30291,1615088,0,30328,1662783,3,30879,1679049,4,31154,1724621,5,31429,1724621,1,31429,1724621,50,31434,1724621,40,31434,1724820,0,31434,1766271,3,32835,1767131,4,33535,1771347,5,34235,1771348,1,34235,1771348,50,34237,1771348,40,34237,1771547,0,34237,1848406,3,35638,1850127,4,36338,1862638,62,37038,1862638,5,37039,1862638,1,37039,1862638,50,37042,1862638,40,37042,1862837,0,37042)
% 
% 
% START OF PROOF
% 1862639 [] equal(X,X).
% 1862651 [] ss^item(skaf83(X)).
% 1862652 [] ss^list(skaf82(X)).
% 1862710 [] -member^p(nil,X) | -ss^item(X).
% 1862748 [] equal(cons(skaf83(X),skaf82(X)),X) | equal(nil,X) | -ss^list(X).
% 1862777 [] member^p(cons(X,Y),Z) | -equal(Z,X) | -ss^item(Z) | -ss^item(X) | -ss^list(Y).
% 1862825 [] ss^list(sk1).
% 1862826 [] ss^list(sk2).
% 1862829 [] equal(sk2,sk4).
% 1862830 [] equal(sk1,sk3).
% 1862832 [] -member^p(sk3,X) | member^p(sk4,X) | -ss^item(X).
% 1862833 [] -member^p(sk4,X) | member^p(sk3,X) | -ss^item(X).
% 1862834 [] equal(nil,sk2) | equal(nil,sk1).
% 1862837 [] -equal(nil,sk1) | -equal(nil,sk2).
% 1862873 [input:1862777,factor:cut:1862639] member^p(cons(X,Y),X) | -ss^item(X) | -ss^list(Y).
% 1863606 [para:1862830.1.2,1862832.1.1] -member^p(sk1,X) | member^p(sk4,X) | -ss^item(X).
% 1863608 [para:1862829.1.2,1862833.1.1] -member^p(sk2,X) | member^p(sk3,X) | -ss^item(X).
% 1863822 [para:1862748.1.1,1862873.1.1,cut:1862651,cut:1862652] member^p(X,skaf83(X)) | equal(nil,X) | -ss^list(X).
% 1863878 [binary:1863606,1863822,cut:1862825,cut:1862651] member^p(sk4,skaf83(sk1)) | equal(nil,sk1).
% 1863879 [binary:1863608,1863822,cut:1862826,cut:1862651] member^p(sk3,skaf83(sk2)) | equal(nil,sk2).
% 1863889 [para:1862829.1.2,1863878.1.1] member^p(sk2,skaf83(sk1)) | equal(nil,sk1).
% 1863893 [para:1862830.1.2,1863879.1.1] member^p(sk1,skaf83(sk2)) | equal(nil,sk2).
% 1863911 [para:1862834.1.2,1863889.1.1] member^p(nil,skaf83(sk1)) | equal(nil,sk1).
% 1863933 [binary:1862710,1863911,cut:1862651] equal(nil,sk1).
% 1863934 [para:1863933.1.2,1862837.1.2,cut:1862639] -equal(nil,sk2).
% 1863954 [para:1863933.1.2,1863893.1.1,cut:1863934] member^p(nil,skaf83(sk2)).
% 1863960 [binary:1862710,1863954,cut:1862651] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using weight-order 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
% seconds given: 28
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    25553
%  derived clauses:   2818679
%  kept clauses:      770013
%  kept size sum:     5376
%  kept mid-nuclei:   288602
%  kept new demods:   79286
%  forw unit-subs:    358778
%  forw double-subs: 195392
%  forw overdouble-subs: 49492
%  backward subs:     507
%  fast unit cutoff:  289612
%  full unit cutoff:  116
%  dbl  unit cutoff:  12038
%  real runtime  :  373.20
%  process. runtime:  370.48
% specific non-discr-tree subsumption statistics: 
%  tried:           8749800
%  length fails:    254357
%  strength fails:  1683022
%  predlist fails:  4177019
%  aux str. fails:  212324
%  by-lit fails:    270263
%  full subs tried: 2011478
%  full subs fail:  1945150
% 
% ; 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/SWC/SWC025-1+eq_r.in")
% 
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