TSTP Solution File: NUM404+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:08:15 EDT 2022
% Result : Timeout 299.94s 300.09s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:40:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.16/2.33 ----- Otter 3.3f, August 2004 -----
% 2.16/2.33 The process was started by sandbox2 on n011.cluster.edu,
% 2.16/2.33 Wed Jul 27 09:40:10 2022
% 2.16/2.33 The command was "./otter". The process ID is 9216.
% 2.16/2.33
% 2.16/2.33 set(prolog_style_variables).
% 2.16/2.33 set(auto).
% 2.16/2.33 dependent: set(auto1).
% 2.16/2.33 dependent: set(process_input).
% 2.16/2.33 dependent: clear(print_kept).
% 2.16/2.33 dependent: clear(print_new_demod).
% 2.16/2.33 dependent: clear(print_back_demod).
% 2.16/2.33 dependent: clear(print_back_sub).
% 2.16/2.33 dependent: set(control_memory).
% 2.16/2.33 dependent: assign(max_mem, 12000).
% 2.16/2.33 dependent: assign(pick_given_ratio, 4).
% 2.16/2.33 dependent: assign(stats_level, 1).
% 2.16/2.33 dependent: assign(max_seconds, 10800).
% 2.16/2.33 clear(print_given).
% 2.16/2.33
% 2.16/2.33 formula_list(usable).
% 2.16/2.33 all A (A=A).
% 2.16/2.33 all A B (in(A,B)-> -in(B,A)).
% 2.16/2.33 all A (empty(A)->function(A)).
% 2.16/2.33 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.16/2.33 all A (empty(A)->relation(A)).
% 2.16/2.33 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.16/2.33 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.16/2.33 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.16/2.33 all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 2.16/2.33 all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 2.16/2.33 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 2.16/2.33 all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 2.16/2.33 all A exists B element(B,A).
% 2.16/2.33 empty(empty_set).
% 2.16/2.33 relation(empty_set).
% 2.16/2.33 relation_empty_yielding(empty_set).
% 2.16/2.33 empty(empty_set).
% 2.16/2.33 relation(empty_set).
% 2.16/2.33 relation_empty_yielding(empty_set).
% 2.16/2.33 function(empty_set).
% 2.16/2.33 one_to_one(empty_set).
% 2.16/2.33 empty(empty_set).
% 2.16/2.33 epsilon_transitive(empty_set).
% 2.16/2.33 epsilon_connected(empty_set).
% 2.16/2.33 ordinal(empty_set).
% 2.16/2.33 empty(empty_set).
% 2.16/2.33 relation(empty_set).
% 2.16/2.33 exists A (relation(A)&function(A)).
% 2.16/2.33 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.16/2.33 exists A (empty(A)&relation(A)).
% 2.16/2.33 exists A empty(A).
% 2.16/2.33 exists A (relation(A)&empty(A)&function(A)).
% 2.16/2.33 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.16/2.33 exists A (-empty(A)&relation(A)).
% 2.16/2.33 exists A (-empty(A)).
% 2.16/2.33 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.16/2.33 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.16/2.33 exists A (relation(A)&relation_empty_yielding(A)).
% 2.16/2.33 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 2.16/2.33 exists A (relation(A)&relation_non_empty(A)&function(A)).
% 2.16/2.33 all A B subset(A,A).
% 2.16/2.33 all A B (in(A,B)->element(A,B)).
% 2.16/2.33 all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 2.16/2.33 all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 2.16/2.33 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.16/2.33 -(all A (-(all B (in(B,A)<->ordinal(B))))).
% 2.16/2.33 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.16/2.33 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.16/2.33 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.16/2.33 all A (empty(A)->A=empty_set).
% 2.16/2.33 all A B (-(in(A,B)&empty(B))).
% 2.16/2.33 all A B (-(empty(A)&A!=B&empty(B))).
% 2.16/2.33 end_of_list.
% 2.16/2.33
% 2.16/2.33 -------> usable clausifies to:
% 2.16/2.33
% 2.16/2.33 list(usable).
% 2.16/2.33 0 [] A=A.
% 2.16/2.33 0 [] -in(A,B)| -in(B,A).
% 2.16/2.33 0 [] -empty(A)|function(A).
% 2.16/2.33 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.16/2.33 0 [] -ordinal(A)|epsilon_connected(A).
% 2.16/2.33 0 [] -empty(A)|relation(A).
% 2.16/2.33 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.16/2.33 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.16/2.33 0 [] -empty(A)|epsilon_transitive(A).
% 2.16/2.33 0 [] -empty(A)|epsilon_connected(A).
% 2.16/2.33 0 [] -empty(A)|ordinal(A).
% 2.16/2.33 0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 2.16/2.33 0 [] epsilon_transitive(A)|in($f1(A),A).
% 2.16/2.33 0 [] epsilon_transitive(A)| -subset($f1(A),A).
% 2.16/2.33 0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 2.16/2.33 0 [] epsilon_connected(A)|in($f3(A),A).
% 2.16/2.33 0 [] epsilon_connected(A)|in($f2(A),A).
% 2.16/2.33 0 [] epsilon_connected(A)| -in($f3(A),$f2(A)).
% 2.16/2.33 0 [] epsilon_connected(A)|$f3(A)!=$f2(A).
% 2.16/2.33 0 [] epsilon_connected(A)| -in($f2(A),$f3(A)).
% 2.16/2.33 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.16/2.33 0 [] subset(A,B)|in($f4(A,B),A).
% 2.16/2.33 0 [] subset(A,B)| -in($f4(A,B),B).
% 2.16/2.33 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.16/2.33 0 [] -ordinal(A)|epsilon_connected(A).
% 2.16/2.33 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 2.16/2.33 0 [] element($f5(A),A).
% 2.16/2.33 0 [] empty(empty_set).
% 2.16/2.33 0 [] relation(empty_set).
% 2.16/2.33 0 [] relation_empty_yielding(empty_set).
% 2.16/2.33 0 [] empty(empty_set).
% 2.16/2.33 0 [] relation(empty_set).
% 2.16/2.33 0 [] relation_empty_yielding(empty_set).
% 2.16/2.33 0 [] function(empty_set).
% 2.16/2.33 0 [] one_to_one(empty_set).
% 2.16/2.33 0 [] empty(empty_set).
% 2.16/2.33 0 [] epsilon_transitive(empty_set).
% 2.16/2.33 0 [] epsilon_connected(empty_set).
% 2.16/2.33 0 [] ordinal(empty_set).
% 2.16/2.33 0 [] empty(empty_set).
% 2.16/2.33 0 [] relation(empty_set).
% 2.16/2.33 0 [] relation($c1).
% 2.16/2.33 0 [] function($c1).
% 2.16/2.33 0 [] epsilon_transitive($c2).
% 2.16/2.33 0 [] epsilon_connected($c2).
% 2.16/2.33 0 [] ordinal($c2).
% 2.16/2.33 0 [] empty($c3).
% 2.16/2.33 0 [] relation($c3).
% 2.16/2.33 0 [] empty($c4).
% 2.16/2.33 0 [] relation($c5).
% 2.16/2.33 0 [] empty($c5).
% 2.16/2.33 0 [] function($c5).
% 2.16/2.33 0 [] relation($c6).
% 2.16/2.33 0 [] function($c6).
% 2.16/2.33 0 [] one_to_one($c6).
% 2.16/2.33 0 [] empty($c6).
% 2.16/2.33 0 [] epsilon_transitive($c6).
% 2.16/2.33 0 [] epsilon_connected($c6).
% 2.16/2.33 0 [] ordinal($c6).
% 2.16/2.33 0 [] -empty($c7).
% 2.16/2.33 0 [] relation($c7).
% 2.16/2.33 0 [] -empty($c8).
% 2.16/2.33 0 [] relation($c9).
% 2.16/2.33 0 [] function($c9).
% 2.16/2.33 0 [] one_to_one($c9).
% 2.16/2.33 0 [] -empty($c10).
% 2.16/2.33 0 [] epsilon_transitive($c10).
% 2.16/2.33 0 [] epsilon_connected($c10).
% 2.16/2.33 0 [] ordinal($c10).
% 2.16/2.33 0 [] relation($c11).
% 2.16/2.33 0 [] relation_empty_yielding($c11).
% 2.16/2.33 0 [] relation($c12).
% 2.16/2.33 0 [] relation_empty_yielding($c12).
% 2.16/2.33 0 [] function($c12).
% 2.16/2.33 0 [] relation($c13).
% 2.16/2.33 0 [] relation_non_empty($c13).
% 2.16/2.33 0 [] function($c13).
% 2.16/2.33 0 [] subset(A,A).
% 2.16/2.33 0 [] -in(A,B)|element(A,B).
% 2.16/2.33 0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 2.16/2.33 0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 2.16/2.33 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.16/2.33 0 [] -in(B,$c14)|ordinal(B).
% 2.16/2.33 0 [] in(B,$c14)| -ordinal(B).
% 2.16/2.33 0 [] -element(A,powerset(B))|subset(A,B).
% 2.16/2.33 0 [] element(A,powerset(B))| -subset(A,B).
% 2.16/2.33 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.16/2.33 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.16/2.33 0 [] -empty(A)|A=empty_set.
% 2.16/2.33 0 [] -in(A,B)| -empty(B).
% 2.16/2.33 0 [] -empty(A)|A=B| -empty(B).
% 2.16/2.33 end_of_list.
% 2.16/2.33
% 2.16/2.33 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.16/2.33
% 2.16/2.33 This ia a non-Horn set with equality. The strategy will be
% 2.16/2.33 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.16/2.33 deletion, with positive clauses in sos and nonpositive
% 2.16/2.33 clauses in usable.
% 2.16/2.33
% 2.16/2.33 dependent: set(knuth_bendix).
% 2.16/2.33 dependent: set(anl_eq).
% 2.16/2.33 dependent: set(para_from).
% 2.16/2.33 dependent: set(para_into).
% 2.16/2.33 dependent: clear(para_from_right).
% 2.16/2.33 dependent: clear(para_into_right).
% 2.16/2.33 dependent: set(para_from_vars).
% 2.16/2.33 dependent: set(eq_units_both_ways).
% 2.16/2.33 dependent: set(dynamic_demod_all).
% 2.16/2.33 dependent: set(dynamic_demod).
% 2.16/2.33 dependent: set(order_eq).
% 2.16/2.33 dependent: set(back_demod).
% 2.16/2.33 dependent: set(lrpo).
% 2.16/2.33 dependent: set(hyper_res).
% 2.16/2.33 dependent: set(unit_deletion).
% 2.16/2.33 dependent: set(factor).
% 2.16/2.33
% 2.16/2.33 ------------> process usable:
% 2.16/2.33 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.16/2.33 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 2.16/2.33 ** KEPT (pick-wt=4): 3 [] -ordinal(A)|epsilon_transitive(A).
% 2.16/2.33 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_connected(A).
% 2.16/2.33 ** KEPT (pick-wt=4): 5 [] -empty(A)|relation(A).
% 2.16/2.33 ** KEPT (pick-wt=8): 6 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.16/2.33 ** KEPT (pick-wt=6): 7 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.16/2.33 ** KEPT (pick-wt=4): 8 [] -empty(A)|epsilon_transitive(A).
% 2.16/2.33 ** KEPT (pick-wt=4): 9 [] -empty(A)|epsilon_connected(A).
% 2.16/2.33 ** KEPT (pick-wt=4): 10 [] -empty(A)|ordinal(A).
% 2.16/2.33 ** KEPT (pick-wt=8): 11 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 2.16/2.33 ** KEPT (pick-wt=6): 12 [] epsilon_transitive(A)| -subset($f1(A),A).
% 2.16/2.33 ** KEPT (pick-wt=17): 13 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 2.16/2.33 ** KEPT (pick-wt=7): 14 [] epsilon_connected(A)| -in($f3(A),$f2(A)).
% 2.16/2.33 ** KEPT (pick-wt=7): 15 [] epsilon_connected(A)|$f3(A)!=$f2(A).
% 2.16/2.33 ** KEPT (pick-wt=7): 16 [] epsilon_connected(A)| -in($f2(A),$f3(A)).
% 2.16/2.33 ** KEPT (pick-wt=9): 17 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.16/2.33 ** KEPT (pick-wt=8): 18 [] subset(A,B)| -in($f4(A,B),B).
% 2.16/2.33 Following clause subsumed by 3 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.16/2.33 Following clause subsumed by 4 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 2.16/2.33 Following clause subsumed by 7 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 2.16/2.33 ** KEPT (pick-wt=2): 19 [] -empty($c7).
% 2.16/2.33 ** KEPT (pick-wt=2): 20 [] -empty($c8).
% 2.16/2.33 ** KEPT (pick-wt=2): 21 [] -empty($c10).
% 2.16/2.33 ** KEPT (pick-wt=6): 22 [] -in(A,B)|element(A,B).
% 2.16/2.33 ** KEPT (pickAlarm clock
% 299.94/300.09 Otter interrupted
% 299.94/300.09 PROOF NOT FOUND
%------------------------------------------------------------------------------