TSTP Solution File: NUM380+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM380+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:08:12 EDT 2022
% Result : Unknown 8.67s 8.87s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM380+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 09:41:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.80/2.01 ----- Otter 3.3f, August 2004 -----
% 1.80/2.01 The process was started by sandbox2 on n007.cluster.edu,
% 1.80/2.01 Wed Jul 27 09:41:31 2022
% 1.80/2.01 The command was "./otter". The process ID is 28694.
% 1.80/2.01
% 1.80/2.01 set(prolog_style_variables).
% 1.80/2.01 set(auto).
% 1.80/2.01 dependent: set(auto1).
% 1.80/2.01 dependent: set(process_input).
% 1.80/2.01 dependent: clear(print_kept).
% 1.80/2.01 dependent: clear(print_new_demod).
% 1.80/2.01 dependent: clear(print_back_demod).
% 1.80/2.01 dependent: clear(print_back_sub).
% 1.80/2.01 dependent: set(control_memory).
% 1.80/2.01 dependent: assign(max_mem, 12000).
% 1.80/2.01 dependent: assign(pick_given_ratio, 4).
% 1.80/2.01 dependent: assign(stats_level, 1).
% 1.80/2.01 dependent: assign(max_seconds, 10800).
% 1.80/2.01 clear(print_given).
% 1.80/2.01
% 1.80/2.01 formula_list(usable).
% 1.80/2.01 all A (A=A).
% 1.80/2.01 all A B (in(A,B)-> -in(B,A)).
% 1.80/2.01 all A (empty(A)->function(A)).
% 1.80/2.01 all A (empty(A)->relation(A)).
% 1.80/2.01 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.80/2.01 all A B C D E (E=unordered_quadruple(A,B,C,D)<-> (all F (in(F,E)<-> -(F!=A&F!=B&F!=C&F!=D)))).
% 1.80/2.01 all A exists B element(B,A).
% 1.80/2.01 empty(empty_set).
% 1.80/2.01 relation(empty_set).
% 1.80/2.01 relation_empty_yielding(empty_set).
% 1.80/2.01 empty(empty_set).
% 1.80/2.01 empty(empty_set).
% 1.80/2.01 relation(empty_set).
% 1.80/2.01 exists A (relation(A)&function(A)).
% 1.80/2.01 exists A (empty(A)&relation(A)).
% 1.80/2.01 exists A empty(A).
% 1.80/2.01 exists A (relation(A)&empty(A)&function(A)).
% 1.80/2.01 exists A (-empty(A)&relation(A)).
% 1.80/2.01 exists A (-empty(A)).
% 1.80/2.01 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.80/2.01 exists A (relation(A)&relation_empty_yielding(A)).
% 1.80/2.01 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 1.80/2.01 exists A (relation(A)&relation_non_empty(A)&function(A)).
% 1.80/2.01 all A B (in(A,B)->element(A,B)).
% 1.80/2.01 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.80/2.01 -(all A B C D (-(in(A,B)&in(B,C)&in(C,D)&in(D,A)))).
% 1.80/2.01 all A (empty(A)->A=empty_set).
% 1.80/2.01 all A B (-(in(A,B)&empty(B))).
% 1.80/2.01 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 1.80/2.01 all A B (-(empty(A)&A!=B&empty(B))).
% 1.80/2.01 end_of_list.
% 1.80/2.01
% 1.80/2.01 -------> usable clausifies to:
% 1.80/2.01
% 1.80/2.01 list(usable).
% 1.80/2.01 0 [] A=A.
% 1.80/2.01 0 [] -in(A,B)| -in(B,A).
% 1.80/2.01 0 [] -empty(A)|function(A).
% 1.80/2.01 0 [] -empty(A)|relation(A).
% 1.80/2.01 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)| -in(F,E)|F=A|F=B|F=C|F=D.
% 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=A.
% 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=B.
% 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=C.
% 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=D.
% 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)|in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)=A|$f1(A,B,C,D,E)=B|$f1(A,B,C,D,E)=C|$f1(A,B,C,D,E)=D.
% 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=A.
% 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=B.
% 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=C.
% 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=D.
% 1.80/2.01 0 [] element($f2(A),A).
% 1.80/2.01 0 [] empty(empty_set).
% 1.80/2.01 0 [] relation(empty_set).
% 1.80/2.01 0 [] relation_empty_yielding(empty_set).
% 1.80/2.01 0 [] empty(empty_set).
% 1.80/2.01 0 [] empty(empty_set).
% 1.80/2.01 0 [] relation(empty_set).
% 1.80/2.01 0 [] relation($c1).
% 1.80/2.01 0 [] function($c1).
% 1.80/2.01 0 [] empty($c2).
% 1.80/2.01 0 [] relation($c2).
% 1.80/2.01 0 [] empty($c3).
% 1.80/2.01 0 [] relation($c4).
% 1.80/2.01 0 [] empty($c4).
% 1.80/2.01 0 [] function($c4).
% 1.80/2.01 0 [] -empty($c5).
% 1.80/2.01 0 [] relation($c5).
% 1.80/2.01 0 [] -empty($c6).
% 1.80/2.01 0 [] relation($c7).
% 1.80/2.01 0 [] function($c7).
% 1.80/2.01 0 [] one_to_one($c7).
% 1.80/2.01 0 [] relation($c8).
% 1.80/2.01 0 [] relation_empty_yielding($c8).
% 1.80/2.01 0 [] relation($c9).
% 1.80/2.01 0 [] relation_empty_yielding($c9).
% 1.80/2.01 0 [] function($c9).
% 1.80/2.01 0 [] relation($c10).
% 1.80/2.01 0 [] relation_non_empty($c10).
% 1.80/2.01 0 [] function($c10).
% 1.80/2.01 0 [] -in(A,B)|element(A,B).
% 1.80/2.01 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.80/2.01 0 [] in($c14,$c13).
% 1.80/2.01 0 [] in($c13,$c12).
% 1.80/2.01 0 [] in($c12,$c11).
% 1.80/2.01 0 [] in($c11,$c14).
% 1.80/2.01 0 [] -empty(A)|A=empty_set.
% 1.80/2.01 0 [] -in(A,B)| -empty(B).
% 1.80/2.01 0 [] -in(A,B)|in($f3(A,B),B).
% 1.80/2.01 0 [] -in(A,B)| -in(D,B)| -in(D,$f3(A,B)).
% 1.80/2.01 0 [] -empty(A)|A=B| -empty(B).
% 1.80/2.01 end_of_list.
% 1.80/2.01
% 1.80/2.01 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.80/2.01
% 1.80/2.01 This ia a non-Horn set with equality. The strategy will be
% 1.80/2.01 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.80/2.01 deletion, with positive clauses in sos and nonpositive
% 1.80/2.01 clauses in usable.
% 1.80/2.01
% 1.80/2.01 dependent: set(knuth_bendix).
% 1.80/2.01 dependent: set(anl_eq).
% 1.80/2.01 dependent: set(para_from).
% 1.80/2.01 dependent: set(para_into).
% 1.80/2.01 dependent: clear(para_from_right).
% 8.67/8.87 dependent: clear(para_into_right).
% 8.67/8.87 dependent: set(para_from_vars).
% 8.67/8.87 dependent: set(eq_units_both_ways).
% 8.67/8.87 dependent: set(dynamic_demod_all).
% 8.67/8.87 dependent: set(dynamic_demod).
% 8.67/8.87 dependent: set(order_eq).
% 8.67/8.87 dependent: set(back_demod).
% 8.67/8.87 dependent: set(lrpo).
% 8.67/8.87 dependent: set(hyper_res).
% 8.67/8.87 dependent: set(unit_deletion).
% 8.67/8.87 dependent: set(factor).
% 8.67/8.87
% 8.67/8.87 ------------> process usable:
% 8.67/8.87 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 8.67/8.87 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 8.67/8.87 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 8.67/8.87 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 8.67/8.87 ** KEPT (pick-wt=22): 5 [] A!=unordered_quadruple(B,C,D,E)| -in(F,A)|F=B|F=C|F=D|F=E.
% 8.67/8.87 ** KEPT (pick-wt=13): 6 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=B.
% 8.67/8.87 ** KEPT (pick-wt=13): 7 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=C.
% 8.67/8.87 ** KEPT (pick-wt=13): 8 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=D.
% 8.67/8.87 ** KEPT (pick-wt=13): 9 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=E.
% 8.67/8.87 ** KEPT (pick-wt=23): 10 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=B.
% 8.67/8.87 ** KEPT (pick-wt=23): 11 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=C.
% 8.67/8.87 ** KEPT (pick-wt=23): 12 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=D.
% 8.67/8.87 ** KEPT (pick-wt=23): 13 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=E.
% 8.67/8.87 ** KEPT (pick-wt=2): 14 [] -empty($c5).
% 8.67/8.87 ** KEPT (pick-wt=2): 15 [] -empty($c6).
% 8.67/8.87 ** KEPT (pick-wt=6): 16 [] -in(A,B)|element(A,B).
% 8.67/8.87 ** KEPT (pick-wt=8): 17 [] -element(A,B)|empty(B)|in(A,B).
% 8.67/8.87 ** KEPT (pick-wt=5): 18 [] -empty(A)|A=empty_set.
% 8.67/8.87 ** KEPT (pick-wt=5): 19 [] -in(A,B)| -empty(B).
% 8.67/8.87 ** KEPT (pick-wt=8): 20 [] -in(A,B)|in($f3(A,B),B).
% 8.67/8.87 ** KEPT (pick-wt=11): 21 [] -in(A,B)| -in(C,B)| -in(C,$f3(A,B)).
% 8.67/8.87 ** KEPT (pick-wt=7): 22 [] -empty(A)|A=B| -empty(B).
% 8.67/8.87
% 8.67/8.87 ------------> process sos:
% 8.67/8.87 ** KEPT (pick-wt=3): 40 [] A=A.
% 8.67/8.87 ** KEPT (pick-wt=47): 41 [] A=unordered_quadruple(B,C,D,E)|in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)=B|$f1(B,C,D,E,A)=C|$f1(B,C,D,E,A)=D|$f1(B,C,D,E,A)=E.
% 8.67/8.87 ** KEPT (pick-wt=4): 42 [] element($f2(A),A).
% 8.67/8.87 ** KEPT (pick-wt=2): 43 [] empty(empty_set).
% 8.67/8.87 ** KEPT (pick-wt=2): 44 [] relation(empty_set).
% 8.67/8.87 ** KEPT (pick-wt=2): 45 [] relation_empty_yielding(empty_set).
% 8.67/8.87 Following clause subsumed by 43 during input processing: 0 [] empty(empty_set).
% 8.67/8.87 Following clause subsumed by 43 during input processing: 0 [] empty(empty_set).
% 8.67/8.87 Following clause subsumed by 44 during input processing: 0 [] relation(empty_set).
% 8.67/8.87 ** KEPT (pick-wt=2): 46 [] relation($c1).
% 8.67/8.87 ** KEPT (pick-wt=2): 47 [] function($c1).
% 8.67/8.87 ** KEPT (pick-wt=2): 48 [] empty($c2).
% 8.67/8.87 ** KEPT (pick-wt=2): 49 [] relation($c2).
% 8.67/8.87 ** KEPT (pick-wt=2): 50 [] empty($c3).
% 8.67/8.87 ** KEPT (pick-wt=2): 51 [] relation($c4).
% 8.67/8.87 ** KEPT (pick-wt=2): 52 [] empty($c4).
% 8.67/8.87 ** KEPT (pick-wt=2): 53 [] function($c4).
% 8.67/8.87 ** KEPT (pick-wt=2): 54 [] relation($c5).
% 8.67/8.87 ** KEPT (pick-wt=2): 55 [] relation($c7).
% 8.67/8.87 ** KEPT (pick-wt=2): 56 [] function($c7).
% 8.67/8.87 ** KEPT (pick-wt=2): 57 [] one_to_one($c7).
% 8.67/8.87 ** KEPT (pick-wt=2): 58 [] relation($c8).
% 8.67/8.87 ** KEPT (pick-wt=2): 59 [] relation_empty_yielding($c8).
% 8.67/8.87 ** KEPT (pick-wt=2): 60 [] relation($c9).
% 8.67/8.87 ** KEPT (pick-wt=2): 61 [] relation_empty_yielding($c9).
% 8.67/8.87 ** KEPT (pick-wt=2): 62 [] function($c9).
% 8.67/8.87 ** KEPT (pick-wt=2): 63 [] relation($c10).
% 8.67/8.87 ** KEPT (pick-wt=2): 64 [] relation_non_empty($c10).
% 8.67/8.87 ** KEPT (pick-wt=2): 65 [] function($c10).
% 8.67/8.87 ** KEPT (pick-wt=3): 66 [] in($c14,$c13).
% 8.67/8.87 ** KEPT (pick-wt=3): 67 [] in($c13,$c12).
% 8.67/8.87 ** KEPT (pick-wt=3): 68 [] in($c12,$c11).
% 8.67/8.87 ** KEPT (pick-wt=3): 69 [] in($c11,$c14).
% 8.67/8.87 Following clause subsumed by 40 during input processing: 0 [copy,40,flip.1] A=A.
% 8.67/8.87 40 back subsumes 31.
% 8.67/8.87
% 8.67/8.87 ======= end of input processing =======
% 8.67/8.87
% 8.67/8.87 =========== start of search ===========
% 8.67/8.87
% 8.67/8.87 Search stopped in tp_alloc by max_mem option.
% 8.67/8.87
% 8.67/8.87 Search stopped in tp_alloc by max_mem option.
% 8.67/8.87
% 8.67/8.87 ============ end of search ============
% 8.67/8.87
% 8.67/8.87 -------------- statistics -------------
% 8.67/8.87 clauses given 6
% 8.67/8.87 clauses generated 31146
% 8.67/8.87 clauses kept 6121
% 8.67/8.87 clauses forward subsumed 25079
% 8.67/8.87 clauses back subsumed 1
% 8.67/8.87 Kbytes malloced 11718
% 8.67/8.87
% 8.67/8.87 ----------- times (seconds) -----------
% 8.67/8.87 user CPU time 6.86 (0 hr, 0 min, 6 sec)
% 8.67/8.87 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 8.67/8.87 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 8.67/8.87
% 8.67/8.87 Process 28694 finished Wed Jul 27 09:41:39 2022
% 8.67/8.87 Otter interrupted
% 8.67/8.87 PROOF NOT FOUND
%------------------------------------------------------------------------------