%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET851-2 : 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 : art06.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 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/SystemOnTPTP19314/SET/SET851-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: small
%
% strategies selected:
% (hyper 27 #f 3 7)
% (binary-unit 10 #f 3 7)
% (binary-double 10 #f 3 7)
% (binary-double 16 #f)
% (binary-double 10 #t)
% (binary 16 #t 3 7)
% (binary-order 27 #f 3 7)
% (binary-posweight-order 125 #f)
% (binary-posweight-lex-big-order 43 #f)
% (binary-posweight-lex-small-order 16 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 54 #f)
% (binary-weightorder 65 #f)
% (binary-order 27 #f)
% (hyper-order 37 #f)
% (binary 63 #t)
%
%
% SOS clause
% c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),v_x,tc_set(tc_set(t_a))) | c_lessequals(v_x,v_m,tc_set(tc_set(t_a))).
% was split for some strategies as:
% c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),v_x,tc_set(tc_set(t_a))).
% c_lessequals(v_x,v_m,tc_set(tc_set(t_a))).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(8,40,0,16,0,0,30,50,0,38,0,0,54,50,0,62,0,0,80,50,0,88,0,0,108,50,0,116,0,0,138,50,0,146,0,0,170,50,0,178,0,0,204,50,1,212,0,1,240,50,1,248,0,1,278,50,1,286,0,1,318,50,1,326,0,1,360,50,1,368,0,1,404,50,1,412,0,1,450,50,2,458,0,2,498,50,2,506,0,2,548,50,2,556,0,2,600,50,3,608,0,3,654,50,3,662,0,3,710,50,4,718,0,4,768,50,4,768,40,4,776,0,4)
%
%
% START OF PROOF
% 770 [] c_lessequals(X,X,tc_set(Y)).
% 771 [] c_lessequals(X,c_^zorn_^osucc(Y,Z,U),tc_set(tc_set(U))) | -c_lessequals(X,Z,tc_set(tc_set(U))).
% 772 [] c_in(v_x,c_^zorn_^o^t^fin(v_^s,t_a),tc_set(tc_set(t_a))).
% 773 [] -c_lessequals(c_^zorn_^osucc(v_^s,v_x,t_a),v_m,tc_set(tc_set(t_a))).
% 774 [] -c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),c_^zorn_^osucc(v_^s,v_x,t_a),tc_set(tc_set(t_a))).
% 775 [] c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),v_x,tc_set(tc_set(t_a))) | c_lessequals(v_x,v_m,tc_set(tc_set(t_a))).
% 776 [] c_lessequals(c_^zorn_^osucc(v_^s,X,t_a),v_m,tc_set(tc_set(t_a))) | -c_in(X,c_^zorn_^o^t^fin(v_^s,t_a),tc_set(tc_set(t_a))) | -c_lessequals(X,v_m,tc_set(tc_set(t_a))) | equal(X,v_m).
% 780 [binary:774,771] -c_lessequals(c_^zorn_^osucc(v_^s,v_m,t_a),v_x,tc_set(tc_set(t_a))).
% 782 [binary:775,780] c_lessequals(v_x,v_m,tc_set(tc_set(t_a))).
% 786 [binary:772,776.2,cut:773,cut:782] equal(v_x,v_m).
% 793 [para:786.1.2,774.1.1.2,cut:770] 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 7
% clause depth limited to 3
% seconds given: 4
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 621
% derived clauses: 1445
% kept clauses: 507
% kept size sum: 13060
% kept mid-nuclei: 19
% kept new demods: 1
% forw unit-subs: 725
% forw double-subs: 57
% forw overdouble-subs: 0
% backward subs: 78
% fast unit cutoff: 78
% full unit cutoff: 19
% dbl unit cutoff: 0
% real runtime : 0.7
% process. runtime: 0.4
% specific non-discr-tree subsumption statistics:
% tried: 6
% length fails: 0
% strength fails: 0
% predlist fails: 5
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 1
% full subs fail: 1
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP19314/SET/SET851-2+eq_r.in")
%
%------------------------------------------------------------------------------