TSTP Solution File: NUM385+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:08:13 EDT 2022
% Result : Timeout 299.86s 300.04s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.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 08:54:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.83/2.03 ----- Otter 3.3f, August 2004 -----
% 1.83/2.03 The process was started by sandbox2 on n017.cluster.edu,
% 1.83/2.03 Wed Jul 27 08:54:18 2022
% 1.83/2.03 The command was "./otter". The process ID is 3635.
% 1.83/2.03
% 1.83/2.03 set(prolog_style_variables).
% 1.83/2.03 set(auto).
% 1.83/2.03 dependent: set(auto1).
% 1.83/2.03 dependent: set(process_input).
% 1.83/2.03 dependent: clear(print_kept).
% 1.83/2.03 dependent: clear(print_new_demod).
% 1.83/2.03 dependent: clear(print_back_demod).
% 1.83/2.03 dependent: clear(print_back_sub).
% 1.83/2.03 dependent: set(control_memory).
% 1.83/2.03 dependent: assign(max_mem, 12000).
% 1.83/2.03 dependent: assign(pick_given_ratio, 4).
% 1.83/2.03 dependent: assign(stats_level, 1).
% 1.83/2.03 dependent: assign(max_seconds, 10800).
% 1.83/2.03 clear(print_given).
% 1.83/2.03
% 1.83/2.03 formula_list(usable).
% 1.83/2.03 all A (A=A).
% 1.83/2.03 all A B (in(A,B)-> -in(B,A)).
% 1.83/2.03 all A (empty(A)->function(A)).
% 1.83/2.03 all A (empty(A)->relation(A)).
% 1.83/2.03 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.83/2.03 all A B (set_union2(A,B)=set_union2(B,A)).
% 1.83/2.03 all A (succ(A)=set_union2(A,singleton(A))).
% 1.83/2.03 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 1.83/2.03 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 1.83/2.03 all A exists B element(B,A).
% 1.83/2.03 empty(empty_set).
% 1.83/2.03 relation(empty_set).
% 1.83/2.03 relation_empty_yielding(empty_set).
% 1.83/2.03 all A (-empty(succ(A))).
% 1.83/2.03 empty(empty_set).
% 1.83/2.03 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 1.83/2.03 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 1.83/2.03 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 1.83/2.03 empty(empty_set).
% 1.83/2.03 relation(empty_set).
% 1.83/2.03 all A B (set_union2(A,A)=A).
% 1.83/2.03 exists A (relation(A)&function(A)).
% 1.83/2.03 exists A (empty(A)&relation(A)).
% 1.83/2.03 exists A empty(A).
% 1.83/2.03 exists A (relation(A)&empty(A)&function(A)).
% 1.83/2.03 exists A (-empty(A)&relation(A)).
% 1.83/2.03 exists A (-empty(A)).
% 1.83/2.03 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.83/2.03 exists A (relation(A)&relation_empty_yielding(A)).
% 1.83/2.03 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 1.83/2.03 exists A (relation(A)&relation_non_empty(A)&function(A)).
% 1.83/2.03 all A in(A,succ(A)).
% 1.83/2.03 -(all A B (succ(A)=succ(B)->A=B)).
% 1.83/2.03 all A (set_union2(A,empty_set)=A).
% 1.83/2.03 all A B (in(A,B)->element(A,B)).
% 1.83/2.03 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.83/2.03 all A (empty(A)->A=empty_set).
% 1.83/2.03 all A B (-(in(A,B)&empty(B))).
% 1.83/2.03 all A B (-(empty(A)&A!=B&empty(B))).
% 1.83/2.03 end_of_list.
% 1.83/2.03
% 1.83/2.03 -------> usable clausifies to:
% 1.83/2.03
% 1.83/2.03 list(usable).
% 1.83/2.03 0 [] A=A.
% 1.83/2.03 0 [] -in(A,B)| -in(B,A).
% 1.83/2.03 0 [] -empty(A)|function(A).
% 1.83/2.03 0 [] -empty(A)|relation(A).
% 1.83/2.03 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.83/2.03 0 [] set_union2(A,B)=set_union2(B,A).
% 1.83/2.03 0 [] succ(A)=set_union2(A,singleton(A)).
% 1.83/2.03 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 1.83/2.03 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 1.83/2.03 0 [] B=singleton(A)|in($f1(A,B),B)|$f1(A,B)=A.
% 1.83/2.03 0 [] B=singleton(A)| -in($f1(A,B),B)|$f1(A,B)!=A.
% 1.83/2.03 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 1.83/2.03 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 1.83/2.03 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 1.83/2.03 0 [] C=set_union2(A,B)|in($f2(A,B,C),C)|in($f2(A,B,C),A)|in($f2(A,B,C),B).
% 1.83/2.03 0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),A).
% 1.83/2.03 0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),B).
% 1.83/2.03 0 [] element($f3(A),A).
% 1.83/2.03 0 [] empty(empty_set).
% 1.83/2.03 0 [] relation(empty_set).
% 1.83/2.03 0 [] relation_empty_yielding(empty_set).
% 1.83/2.03 0 [] -empty(succ(A)).
% 1.83/2.03 0 [] empty(empty_set).
% 1.83/2.03 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 1.83/2.03 0 [] empty(A)| -empty(set_union2(A,B)).
% 1.83/2.03 0 [] empty(A)| -empty(set_union2(B,A)).
% 1.83/2.03 0 [] empty(empty_set).
% 1.83/2.03 0 [] relation(empty_set).
% 1.83/2.03 0 [] set_union2(A,A)=A.
% 1.83/2.03 0 [] relation($c1).
% 1.83/2.03 0 [] function($c1).
% 1.83/2.03 0 [] empty($c2).
% 1.83/2.03 0 [] relation($c2).
% 1.83/2.03 0 [] empty($c3).
% 1.83/2.03 0 [] relation($c4).
% 1.83/2.03 0 [] empty($c4).
% 1.83/2.03 0 [] function($c4).
% 1.83/2.03 0 [] -empty($c5).
% 1.83/2.03 0 [] relation($c5).
% 1.83/2.03 0 [] -empty($c6).
% 1.83/2.03 0 [] relation($c7).
% 1.83/2.03 0 [] function($c7).
% 1.83/2.03 0 [] one_to_one($c7).
% 1.83/2.03 0 [] relation($c8).
% 1.83/2.03 0 [] relation_empty_yielding($c8).
% 1.83/2.03 0 [] relation($c9).
% 1.83/2.03 0 [] relation_empty_yielding($c9).
% 1.83/2.03 0 [] function($c9).
% 1.83/2.03 0 [] relation($c10).
% 1.83/2.03 0 [] relation_non_empty($c10).
% 1.83/2.03 0 [] function($c10).
% 1.83/2.03 0 [] in(A,succ(A)).
% 1.83/2.03 0 [] succ($c12)=succ($c11).
% 1.83/2.03 0 [] $c12!=$c11.
% 1.83/2.03 0 [] set_union2(A,empty_set)=A.
% 1.83/2.03 0 [] -in(A,B)|element(A,B).
% 1.83/2.03 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.83/2.03 0 [] -empty(A)|A=empty_set.
% 1.83/2.03 0 [] -in(A,B)| -empty(B).
% 1.83/2.03 0 [] -empty(A)|A=B| -empty(B).
% 1.83/2.03 end_of_list.
% 1.83/2.03
% 1.83/2.03 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.83/2.03
% 1.83/2.03 This ia a non-Horn set with equality. The strategy will be
% 1.83/2.03 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.83/2.03 deletion, with positive clauses in sos and nonpositive
% 1.83/2.03 clauses in usable.
% 1.83/2.03
% 1.83/2.03 dependent: set(knuth_bendix).
% 1.83/2.03 dependent: set(anl_eq).
% 1.83/2.03 dependent: set(para_from).
% 1.83/2.03 dependent: set(para_into).
% 1.83/2.03 dependent: clear(para_from_right).
% 1.83/2.03 dependent: clear(para_into_right).
% 1.83/2.03 dependent: set(para_from_vars).
% 1.83/2.03 dependent: set(eq_units_both_ways).
% 1.83/2.03 dependent: set(dynamic_demod_all).
% 1.83/2.03 dependent: set(dynamic_demod).
% 1.83/2.03 dependent: set(order_eq).
% 1.83/2.03 dependent: set(back_demod).
% 1.83/2.03 dependent: set(lrpo).
% 1.83/2.03 dependent: set(hyper_res).
% 1.83/2.03 dependent: set(unit_deletion).
% 1.83/2.03 dependent: set(factor).
% 1.83/2.03
% 1.83/2.03 ------------> process usable:
% 1.83/2.03 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.83/2.03 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.83/2.03 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.83/2.03 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.83/2.03 ** KEPT (pick-wt=10): 5 [] A!=singleton(B)| -in(C,A)|C=B.
% 1.83/2.03 ** KEPT (pick-wt=10): 6 [] A!=singleton(B)|in(C,A)|C!=B.
% 1.83/2.03 ** KEPT (pick-wt=14): 7 [] A=singleton(B)| -in($f1(B,A),A)|$f1(B,A)!=B.
% 1.83/2.03 ** KEPT (pick-wt=14): 8 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 1.83/2.03 ** KEPT (pick-wt=11): 9 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 1.83/2.03 ** KEPT (pick-wt=11): 10 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 1.83/2.03 ** KEPT (pick-wt=17): 11 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),B).
% 1.83/2.03 ** KEPT (pick-wt=17): 12 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),C).
% 1.83/2.03 ** KEPT (pick-wt=3): 13 [] -empty(succ(A)).
% 1.83/2.03 ** KEPT (pick-wt=8): 14 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 1.83/2.03 ** KEPT (pick-wt=6): 15 [] empty(A)| -empty(set_union2(A,B)).
% 1.83/2.03 ** KEPT (pick-wt=6): 16 [] empty(A)| -empty(set_union2(B,A)).
% 1.83/2.03 ** KEPT (pick-wt=2): 17 [] -empty($c5).
% 1.83/2.03 ** KEPT (pick-wt=2): 18 [] -empty($c6).
% 1.83/2.03 ** KEPT (pick-wt=3): 19 [] $c12!=$c11.
% 1.83/2.03 ** KEPT (pick-wt=6): 20 [] -in(A,B)|element(A,B).
% 1.83/2.03 ** KEPT (pick-wt=8): 21 [] -element(A,B)|empty(B)|in(A,B).
% 1.83/2.03 ** KEPT (pick-wt=5): 22 [] -empty(A)|A=empty_set.
% 1.83/2.03 ** KEPT (pick-wt=5): 23 [] -in(A,B)| -empty(B).
% 1.83/2.03 ** KEPT (pick-wt=7): 24 [] -empty(A)|A=B| -empty(B).
% 1.83/2.03
% 1.83/2.03 ------------> process sos:
% 1.83/2.03 ** KEPT (pick-wt=3): 31 [] A=A.
% 1.83/2.03 ** KEPT (pick-wt=7): 32 [] set_union2(A,B)=set_union2(B,A).
% 1.83/2.03 ** KEPT (pick-wt=7): 33 [] succ(A)=set_union2(A,singleton(A)).
% 1.83/2.03 ---> New Demodulator: 34 [new_demod,33] succ(A)=set_union2(A,singleton(A)).
% 1.83/2.03 ** KEPT (pick-wt=14): 35 [] A=singleton(B)|in($f1(B,A),A)|$f1(B,A)=B.
% 1.83/2.03 ** KEPT (pick-wt=23): 36 [] A=set_union2(B,C)|in($f2(B,C,A),A)|in($f2(B,C,A),B)|in($f2(B,C,A),C).
% 1.83/2.03 ** KEPT (pick-wt=4): 37 [] element($f3(A),A).
% 1.83/2.03 ** KEPT (pick-wt=2): 38 [] empty(empty_set).
% 1.83/2.03 ** KEPT (pick-wt=2): 39 [] relation(empty_set).
% 1.83/2.03 ** KEPT (pick-wt=2): 40 [] relation_empty_yielding(empty_set).
% 1.83/2.03 Following clause subsumed by 38 during input processing: 0 [] empty(empty_set).
% 1.83/2.03 Following clause subsumed by 38 during input processing: 0 [] empty(empty_set).
% 1.83/2.03 Following clause subsumed by 39 during input processing: 0 [] relation(empty_set).
% 1.83/2.03 ** KEPT (pick-wt=5): 41 [] set_union2(A,A)=A.
% 1.83/2.03 ---> New Demodulator: 42 [new_demod,41] set_union2(A,A)=A.
% 1.83/2.03 ** KEPT (pick-wt=2): 43 [] relation($c1).
% 1.83/2.03 ** KEPT (pick-wt=2): 44 [] function($c1).
% 1.83/2.03 ** KEPT (pick-wt=2): 45 [] empty($c2).
% 1.83/2.03 ** KEPT (pick-wt=2): 46 [] relation($c2).
% 1.83/2.03 ** KEPT (pick-wt=2): 47 [] empty($c3).
% 1.83/2.03 ** KEPT (pick-wt=2): 48 [] relation($c4).
% 1.83/2.03 ** KEPT (pick-wt=2): 49 [] empty($c4).
% 1.83/2.03 ** KEPT (pick-wt=2): 50 [] function($c4).
% 1.83/2.03 ** KEPT (pick-wt=2): 51 [] relation($c5).
% 1.83/2.03 ** KEPT (pick-wt=2): 52 [] relation($c7).
% 1.83/2.03 ** KEPT (pick-wt=2): 53 [] function($c7).
% 1.83/2.03 ** KEPT (pick-wt=2): 54 [] one_to_one($c7).
% 1.83/2.03 ** KEPT (pick-wt=2): 55 [] relation($c8).
% 1.83/2.03 ** KEPT (pick-wt=2): 56 [] relation_empty_yielding($c8).
% 1.83/2.03 ** KEPT (pick-wt=2): 57 [] relation($c9).
% 1.83/2.03 ** KEPT (pick-wt=2): 58 [] relation_empty_yielding($c9).
% 1.83/2.03 ** KEPT (pick-wt=2): 59 [] function($c9).
% 1.83/2.03 ** KEPT (pick-wt=2): 60 [] relation($c10).
% 1.83/2.03 ** KEPT (pick-wt=2): 61 [] relation_non_empty($c10).
% 1.83/2.03 ** KEPT (pick-wt=2): 62 [] function($c10).
% 1.83/2.03 ** KEPT (pick-wt=6): 64 [copy,63,demod,34] in(A,set_union2(A,singleton(A))).
% 1.83/2.03 ** KEPT (pick-wt=9): 66 [copy,65,demod,34,34] Alarm clock
% 299.86/300.04 Otter interrupted
% 299.86/300.04 PROOF NOT FOUND
%------------------------------------------------------------------------------