TSTP Solution File: SEU360+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 13:15:51 EDT 2022
% Result : Unknown 218.38s 218.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.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 08:04:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/1.97 ----- Otter 3.3f, August 2004 -----
% 1.77/1.97 The process was started by sandbox2 on n005.cluster.edu,
% 1.77/1.97 Wed Jul 27 08:04:05 2022
% 1.77/1.97 The command was "./otter". The process ID is 28177.
% 1.77/1.97
% 1.77/1.97 set(prolog_style_variables).
% 1.77/1.97 set(auto).
% 1.77/1.97 dependent: set(auto1).
% 1.77/1.97 dependent: set(process_input).
% 1.77/1.97 dependent: clear(print_kept).
% 1.77/1.97 dependent: clear(print_new_demod).
% 1.77/1.97 dependent: clear(print_back_demod).
% 1.77/1.97 dependent: clear(print_back_sub).
% 1.77/1.97 dependent: set(control_memory).
% 1.77/1.97 dependent: assign(max_mem, 12000).
% 1.77/1.97 dependent: assign(pick_given_ratio, 4).
% 1.77/1.97 dependent: assign(stats_level, 1).
% 1.77/1.97 dependent: assign(max_seconds, 10800).
% 1.77/1.97 clear(print_given).
% 1.77/1.97
% 1.77/1.97 formula_list(usable).
% 1.77/1.97 all A (A=A).
% 1.77/1.97 all A B (in(A,B)-> -in(B,A)).
% 1.77/1.97 all A (empty(A)->finite(A)).
% 1.77/1.97 all A (rel_str(A)-> (lower_bounded_relstr(A)<-> (exists B (element(B,the_carrier(A))&relstr_element_smaller(A,the_carrier(A),B))))).
% 1.77/1.97 all A (rel_str(A)-> (all B C (element(C,the_carrier(A))-> (relstr_element_smaller(A,B,C)<-> (all D (element(D,the_carrier(A))-> (in(D,B)->related(A,C,D)))))))).
% 1.77/1.97 $T.
% 1.77/1.97 all A (rel_str(A)->one_sorted_str(A)).
% 1.77/1.97 $T.
% 1.77/1.97 $T.
% 1.77/1.97 $T.
% 1.77/1.97 exists A rel_str(A).
% 1.77/1.97 exists A one_sorted_str(A).
% 1.77/1.97 all A exists B element(B,A).
% 1.77/1.97 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 1.77/1.97 empty(empty_set).
% 1.77/1.97 exists A (-empty(A)&finite(A)).
% 1.77/1.97 exists A empty(A).
% 1.77/1.97 exists A (-empty(A)).
% 1.77/1.97 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 1.77/1.97 all A (antisymmetric_relstr(A)&rel_str(A)-> (all B (ex_sup_of_relstr_set(A,B)<-> (exists C (element(C,the_carrier(A))&relstr_set_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (relstr_set_smaller(A,B,D)->related(A,C,D))))))))).
% 1.77/1.97 all A (antisymmetric_relstr(A)&rel_str(A)-> (all B (ex_inf_of_relstr_set(A,B)<-> (exists C (element(C,the_carrier(A))&relstr_element_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (relstr_element_smaller(A,B,D)->related(A,D,C))))))))).
% 1.77/1.97 all A B (in(A,B)->element(A,B)).
% 1.77/1.97 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.77/1.97 -(all A (-empty_carrier(A)&antisymmetric_relstr(A)&lower_bounded_relstr(A)&rel_str(A)->ex_sup_of_relstr_set(A,empty_set)&ex_inf_of_relstr_set(A,the_carrier(A)))).
% 1.77/1.97 all A (empty(A)->A=empty_set).
% 1.77/1.97 all A (rel_str(A)-> (all B (element(B,the_carrier(A))->relstr_set_smaller(A,empty_set,B)&relstr_element_smaller(A,empty_set,B)))).
% 1.77/1.97 all A B (-(in(A,B)&empty(B))).
% 1.77/1.97 all A B (-(empty(A)&A!=B&empty(B))).
% 1.77/1.97 end_of_list.
% 1.77/1.97
% 1.77/1.97 -------> usable clausifies to:
% 1.77/1.97
% 1.77/1.97 list(usable).
% 1.77/1.97 0 [] A=A.
% 1.77/1.97 0 [] -in(A,B)| -in(B,A).
% 1.77/1.97 0 [] -empty(A)|finite(A).
% 1.77/1.97 0 [] -rel_str(A)| -lower_bounded_relstr(A)|element($f1(A),the_carrier(A)).
% 1.77/1.97 0 [] -rel_str(A)| -lower_bounded_relstr(A)|relstr_element_smaller(A,the_carrier(A),$f1(A)).
% 1.77/1.97 0 [] -rel_str(A)|lower_bounded_relstr(A)| -element(B,the_carrier(A))| -relstr_element_smaller(A,the_carrier(A),B).
% 1.77/1.97 0 [] -rel_str(A)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,B)|related(A,C,D).
% 1.77/1.97 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_element_smaller(A,B,C)|element($f2(A,B,C),the_carrier(A)).
% 1.77/1.97 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_element_smaller(A,B,C)|in($f2(A,B,C),B).
% 1.77/1.97 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_element_smaller(A,B,C)| -related(A,C,$f2(A,B,C)).
% 1.77/1.97 0 [] $T.
% 1.77/1.97 0 [] -rel_str(A)|one_sorted_str(A).
% 1.77/1.97 0 [] $T.
% 1.77/1.97 0 [] $T.
% 1.77/1.97 0 [] $T.
% 1.77/1.97 0 [] rel_str($c1).
% 1.77/1.97 0 [] one_sorted_str($c2).
% 1.77/1.97 0 [] element($f3(A),A).
% 1.77/1.97 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.77/1.97 0 [] empty(empty_set).
% 1.77/1.97 0 [] -empty($c3).
% 1.77/1.97 0 [] finite($c3).
% 1.77/1.97 0 [] empty($c4).
% 1.77/1.97 0 [] -empty($c5).
% 1.77/1.97 0 [] one_sorted_str($c6).
% 1.77/1.97 0 [] -empty_carrier($c6).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|element($f4(A,B),the_carrier(A)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|relstr_set_smaller(A,B,$f4(A,B)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)| -element(D,the_carrier(A))| -relstr_set_smaller(A,B,D)|related(A,$f4(A,B),D).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|element($f5(A,B,C),the_carrier(A)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|relstr_set_smaller(A,B,$f5(A,B,C)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)| -related(A,C,$f5(A,B,C)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|element($f6(A,B),the_carrier(A)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|relstr_element_smaller(A,B,$f6(A,B)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)| -element(D,the_carrier(A))| -relstr_element_smaller(A,B,D)|related(A,D,$f6(A,B)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|element($f7(A,B,C),the_carrier(A)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|relstr_element_smaller(A,B,$f7(A,B,C)).
% 1.77/1.97 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)| -related(A,$f7(A,B,C),C).
% 1.77/1.97 0 [] -in(A,B)|element(A,B).
% 1.77/1.97 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.77/1.97 0 [] -empty_carrier($c7).
% 1.77/1.97 0 [] antisymmetric_relstr($c7).
% 1.77/1.97 0 [] lower_bounded_relstr($c7).
% 1.77/1.97 0 [] rel_str($c7).
% 1.77/1.97 0 [] -ex_sup_of_relstr_set($c7,empty_set)| -ex_inf_of_relstr_set($c7,the_carrier($c7)).
% 1.77/1.97 0 [] -empty(A)|A=empty_set.
% 1.77/1.97 0 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,empty_set,B).
% 1.77/1.97 0 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_element_smaller(A,empty_set,B).
% 1.77/1.97 0 [] -in(A,B)| -empty(B).
% 1.77/1.97 0 [] -empty(A)|A=B| -empty(B).
% 1.77/1.97 end_of_list.
% 1.77/1.97
% 1.77/1.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.77/1.97
% 1.77/1.97 This ia a non-Horn set with equality. The strategy will be
% 1.77/1.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.77/1.97 deletion, with positive clauses in sos and nonpositive
% 1.77/1.97 clauses in usable.
% 1.77/1.97
% 1.77/1.97 dependent: set(knuth_bendix).
% 1.77/1.97 dependent: set(anl_eq).
% 1.77/1.97 dependent: set(para_from).
% 1.77/1.97 dependent: set(para_into).
% 1.77/1.97 dependent: clear(para_from_right).
% 1.77/1.97 dependent: clear(para_into_right).
% 1.77/1.97 dependent: set(para_from_vars).
% 1.77/1.97 dependent: set(eq_units_both_ways).
% 1.77/1.97 dependent: set(dynamic_demod_all).
% 1.77/1.97 dependent: set(dynamic_demod).
% 1.77/1.97 dependent: set(order_eq).
% 1.77/1.97 dependent: set(back_demod).
% 1.77/1.97 dependent: set(lrpo).
% 1.77/1.97 dependent: set(hyper_res).
% 1.77/1.97 dependent: set(unit_deletion).
% 1.77/1.97 dependent: set(factor).
% 1.77/1.97
% 1.77/1.97 ------------> process usable:
% 1.77/1.97 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.77/1.97 ** KEPT (pick-wt=4): 2 [] -empty(A)|finite(A).
% 1.77/1.97 ** KEPT (pick-wt=9): 3 [] -rel_str(A)| -lower_bounded_relstr(A)|element($f1(A),the_carrier(A)).
% 1.77/1.97 ** KEPT (pick-wt=10): 4 [] -rel_str(A)| -lower_bounded_relstr(A)|relstr_element_smaller(A,the_carrier(A),$f1(A)).
% 1.77/1.97 ** KEPT (pick-wt=13): 5 [] -rel_str(A)|lower_bounded_relstr(A)| -element(B,the_carrier(A))| -relstr_element_smaller(A,the_carrier(A),B).
% 1.77/1.97 ** KEPT (pick-wt=21): 6 [] -rel_str(A)| -element(B,the_carrier(A))| -relstr_element_smaller(A,C,B)| -element(D,the_carrier(A))| -in(D,C)|related(A,B,D).
% 1.77/1.97 ** KEPT (pick-wt=17): 7 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_element_smaller(A,C,B)|element($f2(A,C,B),the_carrier(A)).
% 1.77/1.97 ** KEPT (pick-wt=16): 8 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_element_smaller(A,C,B)|in($f2(A,C,B),C).
% 1.77/1.97 ** KEPT (pick-wt=17): 9 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_element_smaller(A,C,B)| -related(A,B,$f2(A,C,B)).
% 1.77/1.97 ** KEPT (pick-wt=4): 10 [] -rel_str(A)|one_sorted_str(A).
% 1.77/1.97 ** KEPT (pick-wt=7): 11 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.77/1.97 ** KEPT (pick-wt=2): 12 [] -empty($c3).
% 1.77/1.97 ** KEPT (pick-wt=2): 13 [] -empty($c5).
% 1.77/1.97 ** KEPT (pick-wt=2): 14 [] -empty_carrier($c6).
% 1.77/1.97 ** KEPT (pick-wt=13): 15 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|element($f4(A,B),the_carrier(A)).
% 1.77/1.97 ** KEPT (pick-wt=13): 16 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|relstr_set_smaller(A,B,$f4(A,B)).
% 1.77/1.97 ** KEPT (pick-wt=21): 17 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|related(A,$f4(A,B),C).
% 1.77/1.97 ** KEPT (pick-wt=22): 18 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|element($f5(A,B,C),the_carrier(A)).
% 218.38/218.54 ** KEPT (pick-wt=22): 19 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|relstr_set_smaller(A,B,$f5(A,B,C)).
% 218.38/218.54 ** KEPT (pick-wt=22): 20 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)| -related(A,C,$f5(A,B,C)).
% 218.38/218.54 ** KEPT (pick-wt=13): 21 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|element($f6(A,B),the_carrier(A)).
% 218.38/218.54 ** KEPT (pick-wt=13): 22 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|relstr_element_smaller(A,B,$f6(A,B)).
% 218.38/218.54 ** KEPT (pick-wt=21): 23 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|related(A,C,$f6(A,B)).
% 218.38/218.54 ** KEPT (pick-wt=22): 24 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|element($f7(A,B,C),the_carrier(A)).
% 218.38/218.54 ** KEPT (pick-wt=22): 25 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|relstr_element_smaller(A,B,$f7(A,B,C)).
% 218.38/218.54 ** KEPT (pick-wt=22): 26 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)| -related(A,$f7(A,B,C),C).
% 218.38/218.54 ** KEPT (pick-wt=6): 27 [] -in(A,B)|element(A,B).
% 218.38/218.54 ** KEPT (pick-wt=8): 28 [] -element(A,B)|empty(B)|in(A,B).
% 218.38/218.54 ** KEPT (pick-wt=2): 29 [] -empty_carrier($c7).
% 218.38/218.54 ** KEPT (pick-wt=7): 30 [] -ex_sup_of_relstr_set($c7,empty_set)| -ex_inf_of_relstr_set($c7,the_carrier($c7)).
% 218.38/218.54 ** KEPT (pick-wt=5): 31 [] -empty(A)|A=empty_set.
% 218.38/218.54 ** KEPT (pick-wt=10): 32 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,empty_set,B).
% 218.38/218.54 ** KEPT (pick-wt=10): 33 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_element_smaller(A,empty_set,B).
% 218.38/218.54 ** KEPT (pick-wt=5): 34 [] -in(A,B)| -empty(B).
% 218.38/218.54 ** KEPT (pick-wt=7): 35 [] -empty(A)|A=B| -empty(B).
% 218.38/218.54
% 218.38/218.54 ------------> process sos:
% 218.38/218.54 ** KEPT (pick-wt=3): 39 [] A=A.
% 218.38/218.54 ** KEPT (pick-wt=2): 40 [] rel_str($c1).
% 218.38/218.54 ** KEPT (pick-wt=2): 41 [] one_sorted_str($c2).
% 218.38/218.54 ** KEPT (pick-wt=4): 42 [] element($f3(A),A).
% 218.38/218.54 ** KEPT (pick-wt=2): 43 [] empty(empty_set).
% 218.38/218.54 ** KEPT (pick-wt=2): 44 [] finite($c3).
% 218.38/218.54 ** KEPT (pick-wt=2): 45 [] empty($c4).
% 218.38/218.54 ** KEPT (pick-wt=2): 46 [] one_sorted_str($c6).
% 218.38/218.54 ** KEPT (pick-wt=2): 47 [] antisymmetric_relstr($c7).
% 218.38/218.54 ** KEPT (pick-wt=2): 48 [] lower_bounded_relstr($c7).
% 218.38/218.54 ** KEPT (pick-wt=2): 49 [] rel_str($c7).
% 218.38/218.54 Following clause subsumed by 39 during input processing: 0 [copy,39,flip.1] A=A.
% 218.38/218.54 39 back subsumes 38.
% 218.38/218.54
% 218.38/218.54 ======= end of input processing =======
% 218.38/218.54
% 218.38/218.54 =========== start of search ===========
% 218.38/218.54
% 218.38/218.54
% 218.38/218.54 Resetting weight limit to 9.
% 218.38/218.54
% 218.38/218.54
% 218.38/218.54 Resetting weight limit to 9.
% 218.38/218.54
% 218.38/218.54 sos_size=2954
% 218.38/218.54
% 218.38/218.54 Search stopped because sos empty.
% 218.38/218.54
% 218.38/218.54
% 218.38/218.54 Search stopped because sos empty.
% 218.38/218.54
% 218.38/218.54 ============ end of search ============
% 218.38/218.54
% 218.38/218.54 -------------- statistics -------------
% 218.38/218.55 clauses given 3217
% 218.38/218.55 clauses generated 2894025
% 218.38/218.55 clauses kept 3427
% 218.38/218.55 clauses forward subsumed 7059
% 218.38/218.55 clauses back subsumed 192
% 218.38/218.55 Kbytes malloced 5859
% 218.38/218.55
% 218.38/218.55 ----------- times (seconds) -----------
% 218.38/218.55 user CPU time 216.58 (0 hr, 3 min, 36 sec)
% 218.38/218.55 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 218.38/218.55 wall-clock time 218 (0 hr, 3 min, 38 sec)
% 218.38/218.55
% 218.38/218.55 Process 28177 finished Wed Jul 27 08:07:43 2022
% 218.38/218.55 Otter interrupted
% 218.38/218.55 PROOF NOT FOUND
%------------------------------------------------------------------------------