TSTP Solution File: SET980+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET980+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:14:37 EDT 2022
% Result : Timeout 299.85s 300.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET980+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 10:37:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.59/1.81 ----- Otter 3.3f, August 2004 -----
% 1.59/1.81 The process was started by sandbox2 on n010.cluster.edu,
% 1.59/1.81 Wed Jul 27 10:37:25 2022
% 1.59/1.81 The command was "./otter". The process ID is 994.
% 1.59/1.81
% 1.59/1.81 set(prolog_style_variables).
% 1.59/1.81 set(auto).
% 1.59/1.81 dependent: set(auto1).
% 1.59/1.81 dependent: set(process_input).
% 1.59/1.81 dependent: clear(print_kept).
% 1.59/1.81 dependent: clear(print_new_demod).
% 1.59/1.81 dependent: clear(print_back_demod).
% 1.59/1.81 dependent: clear(print_back_sub).
% 1.59/1.81 dependent: set(control_memory).
% 1.59/1.81 dependent: assign(max_mem, 12000).
% 1.59/1.81 dependent: assign(pick_given_ratio, 4).
% 1.59/1.81 dependent: assign(stats_level, 1).
% 1.59/1.81 dependent: assign(max_seconds, 10800).
% 1.59/1.81 clear(print_given).
% 1.59/1.81
% 1.59/1.81 formula_list(usable).
% 1.59/1.81 all A (A=A).
% 1.59/1.81 all A B (in(A,B)-> -in(B,A)).
% 1.59/1.81 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.59/1.81 all A (A=empty_set<-> (all B (-in(B,A)))).
% 1.59/1.81 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.59/1.81 empty(empty_set).
% 1.59/1.81 all A B (-empty(ordered_pair(A,B))).
% 1.59/1.81 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 1.59/1.81 exists A empty(A).
% 1.59/1.81 exists A (-empty(A)).
% 1.59/1.81 all A B (cartesian_product2(A,B)=empty_set<->A=empty_set|B=empty_set).
% 1.59/1.81 -(all A B C D (cartesian_product2(A,B)=cartesian_product2(C,D)->A=empty_set|B=empty_set|A=C&B=D)).
% 1.59/1.81 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 1.59/1.81 end_of_list.
% 1.59/1.81
% 1.59/1.81 -------> usable clausifies to:
% 1.59/1.81
% 1.59/1.81 list(usable).
% 1.59/1.81 0 [] A=A.
% 1.59/1.81 0 [] -in(A,B)| -in(B,A).
% 1.59/1.81 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.59/1.81 0 [] A!=empty_set| -in(B,A).
% 1.59/1.81 0 [] A=empty_set|in($f1(A),A).
% 1.59/1.81 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.59/1.81 0 [] empty(empty_set).
% 1.59/1.81 0 [] -empty(ordered_pair(A,B)).
% 1.59/1.81 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 1.59/1.81 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 1.59/1.81 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 1.59/1.81 0 [] empty($c1).
% 1.59/1.81 0 [] -empty($c2).
% 1.59/1.81 0 [] cartesian_product2(A,B)!=empty_set|A=empty_set|B=empty_set.
% 1.59/1.81 0 [] cartesian_product2(A,B)=empty_set|A!=empty_set.
% 1.59/1.81 0 [] cartesian_product2(A,B)=empty_set|B!=empty_set.
% 1.59/1.81 0 [] cartesian_product2($c6,$c5)=cartesian_product2($c4,$c3).
% 1.59/1.81 0 [] $c6!=empty_set.
% 1.59/1.81 0 [] $c5!=empty_set.
% 1.59/1.81 0 [] $c6!=$c4|$c5!=$c3.
% 1.59/1.81 0 [] in($f2(A,B),A)|in($f2(A,B),B)|A=B.
% 1.59/1.81 0 [] -in($f2(A,B),A)| -in($f2(A,B),B)|A=B.
% 1.59/1.81 end_of_list.
% 1.59/1.81
% 1.59/1.81 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.59/1.81
% 1.59/1.81 This ia a non-Horn set with equality. The strategy will be
% 1.59/1.81 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.59/1.81 deletion, with positive clauses in sos and nonpositive
% 1.59/1.81 clauses in usable.
% 1.59/1.81
% 1.59/1.81 dependent: set(knuth_bendix).
% 1.59/1.81 dependent: set(anl_eq).
% 1.59/1.81 dependent: set(para_from).
% 1.59/1.81 dependent: set(para_into).
% 1.59/1.81 dependent: clear(para_from_right).
% 1.59/1.81 dependent: clear(para_into_right).
% 1.59/1.81 dependent: set(para_from_vars).
% 1.59/1.81 dependent: set(eq_units_both_ways).
% 1.59/1.81 dependent: set(dynamic_demod_all).
% 1.59/1.81 dependent: set(dynamic_demod).
% 1.59/1.81 dependent: set(order_eq).
% 1.59/1.81 dependent: set(back_demod).
% 1.59/1.81 dependent: set(lrpo).
% 1.59/1.81 dependent: set(hyper_res).
% 1.59/1.81 dependent: set(unit_deletion).
% 1.59/1.81 dependent: set(factor).
% 1.59/1.81
% 1.59/1.81 ------------> process usable:
% 1.59/1.81 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.59/1.81 ** KEPT (pick-wt=6): 2 [] A!=empty_set| -in(B,A).
% 1.59/1.81 ** KEPT (pick-wt=4): 3 [] -empty(ordered_pair(A,B)).
% 1.59/1.81 ** KEPT (pick-wt=10): 4 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 1.59/1.81 ** KEPT (pick-wt=10): 5 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 1.59/1.81 ** KEPT (pick-wt=13): 6 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 1.59/1.81 ** KEPT (pick-wt=2): 7 [] -empty($c2).
% 1.59/1.81 ** KEPT (pick-wt=11): 8 [] cartesian_product2(A,B)!=empty_set|A=empty_set|B=empty_set.
% 1.59/1.81 ** KEPT (pick-wt=8): 9 [] cartesian_product2(A,B)=empty_set|A!=empty_set.
% 1.59/1.81 ** KEPT (pick-wt=8): 10 [] cartesian_product2(A,B)=empty_set|B!=empty_set.
% 1.59/1.81 ** KEPT (pick-wt=3): 12 [copy,11,flip.1] empty_set!=$c6.
% 1.59/1.81 ** KEPT (pick-wt=3): 14 [copy,13,flip.1] empty_set!=$c5.
% 1.59/1.81 ** KEPT (pick-wt=6): 15 [] $c6!=$c4|$c5!=$c3.
% 1.59/1.81 ** KEPT (pick-wt=13): 16 [] -in($f2(A,B),A)| -in($f2(A,B),B)|A=B.
% 1.59/1.81
% 1.59/1.81 ------------> process sos:
% 1.59/1.81 ** KEPT (pick-wt=3): 21 [] A=A.
% 1.59/1.81 ** KEPT (pick-wt=7): 22 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.59/1.81 ** KEPT (pick-wt=7): 23 [] A=empty_set|in(Alarm clock
% 299.85/300.02 Otter interrupted
% 299.85/300.02 PROOF NOT FOUND
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