TSTP Solution File: SEU077+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:14:44 EDT 2022
% Result : Timeout 299.88s 300.09s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n024.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 07:51:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.96 ----- Otter 3.3f, August 2004 -----
% 1.74/1.96 The process was started by sandbox on n024.cluster.edu,
% 1.74/1.96 Wed Jul 27 07:51:40 2022
% 1.74/1.96 The command was "./otter". The process ID is 12409.
% 1.74/1.96
% 1.74/1.96 set(prolog_style_variables).
% 1.74/1.96 set(auto).
% 1.74/1.96 dependent: set(auto1).
% 1.74/1.96 dependent: set(process_input).
% 1.74/1.96 dependent: clear(print_kept).
% 1.74/1.96 dependent: clear(print_new_demod).
% 1.74/1.96 dependent: clear(print_back_demod).
% 1.74/1.96 dependent: clear(print_back_sub).
% 1.74/1.96 dependent: set(control_memory).
% 1.74/1.96 dependent: assign(max_mem, 12000).
% 1.74/1.96 dependent: assign(pick_given_ratio, 4).
% 1.74/1.96 dependent: assign(stats_level, 1).
% 1.74/1.96 dependent: assign(max_seconds, 10800).
% 1.74/1.96 clear(print_given).
% 1.74/1.96
% 1.74/1.96 formula_list(usable).
% 1.74/1.96 all A (A=A).
% 1.74/1.96 all A B (in(A,B)-> -in(B,A)).
% 1.74/1.96 all A (empty(A)->function(A)).
% 1.74/1.96 all A (empty(A)->relation(A)).
% 1.74/1.96 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.74/1.96 all A (relation(A)&function(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<->in(D,relation_dom(A))&in(apply(A,D),B)))))).
% 1.74/1.96 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 1.74/1.96 all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 1.74/1.96 all A exists B element(B,A).
% 1.74/1.96 empty(empty_set).
% 1.74/1.96 relation(empty_set).
% 1.74/1.96 relation_empty_yielding(empty_set).
% 1.74/1.96 all A (-empty(powerset(A))).
% 1.74/1.96 empty(empty_set).
% 1.74/1.96 empty(empty_set).
% 1.74/1.96 relation(empty_set).
% 1.74/1.96 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.74/1.96 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 1.74/1.96 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.74/1.96 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 1.74/1.96 exists A (relation(A)&function(A)).
% 1.74/1.96 exists A (empty(A)&relation(A)).
% 1.74/1.96 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.74/1.96 exists A empty(A).
% 1.74/1.96 exists A (relation(A)&empty(A)&function(A)).
% 1.74/1.96 exists A (-empty(A)&relation(A)).
% 1.74/1.96 all A exists B (element(B,powerset(A))&empty(B)).
% 1.74/1.96 exists A (-empty(A)).
% 1.74/1.96 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.74/1.96 exists A (relation(A)&relation_empty_yielding(A)).
% 1.74/1.96 all A B subset(A,A).
% 1.74/1.96 -(all A B C (relation(C)&function(C)-> (subset(relation_inverse_image(C,A),relation_inverse_image(C,B))&subset(A,relation_rng(C))->subset(A,B)))).
% 1.74/1.96 all A B (in(A,B)->element(A,B)).
% 1.74/1.96 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.74/1.96 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.74/1.96 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.74/1.96 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.74/1.96 all A (empty(A)->A=empty_set).
% 1.74/1.96 all A B (-(in(A,B)&empty(B))).
% 1.74/1.96 all A B (-(empty(A)&A!=B&empty(B))).
% 1.74/1.96 end_of_list.
% 1.74/1.96
% 1.74/1.96 -------> usable clausifies to:
% 1.74/1.96
% 1.74/1.96 list(usable).
% 1.74/1.96 0 [] A=A.
% 1.74/1.96 0 [] -in(A,B)| -in(B,A).
% 1.74/1.96 0 [] -empty(A)|function(A).
% 1.74/1.96 0 [] -empty(A)|relation(A).
% 1.74/1.96 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.74/1.96 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 1.74/1.96 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 1.74/1.96 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 1.74/1.96 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f1(A,B,C),C)|in($f1(A,B,C),relation_dom(A)).
% 1.74/1.96 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f1(A,B,C),C)|in(apply(A,$f1(A,B,C)),B).
% 1.74/1.96 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f1(A,B,C),C)| -in($f1(A,B,C),relation_dom(A))| -in(apply(A,$f1(A,B,C)),B).
% 1.74/1.96 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.74/1.96 0 [] subset(A,B)|in($f2(A,B),A).
% 1.74/1.96 0 [] subset(A,B)| -in($f2(A,B),B).
% 1.74/1.96 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f3(A,B,C),relation_dom(A)).
% 1.74/1.96 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f3(A,B,C)).
% 1.74/1.96 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 1.74/1.96 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f5(A,B),B)|in($f4(A,B),relation_dom(A)).
% 1.74/1.96 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f5(A,B),B)|$f5(A,B)=apply(A,$f4(A,B)).
% 1.74/1.96 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f5(A,B),B)| -in(X1,relation_dom(A))|$f5(A,B)!=apply(A,X1).
% 1.74/1.96 0 [] element($f6(A),A).
% 1.74/1.96 0 [] empty(empty_set).
% 1.74/1.96 0 [] relation(empty_set).
% 1.74/1.96 0 [] relation_empty_yielding(empty_set).
% 1.74/1.96 0 [] -empty(powerset(A)).
% 1.74/1.96 0 [] empty(empty_set).
% 1.74/1.96 0 [] empty(empty_set).
% 1.74/1.96 0 [] relation(empty_set).
% 1.74/1.96 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.74/1.96 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.74/1.96 0 [] -empty(A)|empty(relation_dom(A)).
% 1.74/1.96 0 [] -empty(A)|relation(relation_dom(A)).
% 1.74/1.96 0 [] -empty(A)|empty(relation_rng(A)).
% 1.74/1.96 0 [] -empty(A)|relation(relation_rng(A)).
% 1.74/1.96 0 [] relation($c1).
% 1.74/1.96 0 [] function($c1).
% 1.74/1.96 0 [] empty($c2).
% 1.74/1.96 0 [] relation($c2).
% 1.74/1.96 0 [] empty(A)|element($f7(A),powerset(A)).
% 1.74/1.96 0 [] empty(A)| -empty($f7(A)).
% 1.74/1.96 0 [] empty($c3).
% 1.74/1.96 0 [] relation($c4).
% 1.74/1.96 0 [] empty($c4).
% 1.74/1.96 0 [] function($c4).
% 1.74/1.96 0 [] -empty($c5).
% 1.74/1.96 0 [] relation($c5).
% 1.74/1.96 0 [] element($f8(A),powerset(A)).
% 1.74/1.96 0 [] empty($f8(A)).
% 1.74/1.96 0 [] -empty($c6).
% 1.74/1.96 0 [] relation($c7).
% 1.74/1.96 0 [] function($c7).
% 1.74/1.96 0 [] one_to_one($c7).
% 1.74/1.96 0 [] relation($c8).
% 1.74/1.96 0 [] relation_empty_yielding($c8).
% 1.74/1.96 0 [] subset(A,A).
% 1.74/1.96 0 [] relation($c9).
% 1.74/1.96 0 [] function($c9).
% 1.74/1.96 0 [] subset(relation_inverse_image($c9,$c11),relation_inverse_image($c9,$c10)).
% 1.74/1.96 0 [] subset($c11,relation_rng($c9)).
% 1.74/1.96 0 [] -subset($c11,$c10).
% 1.74/1.96 0 [] -in(A,B)|element(A,B).
% 1.74/1.96 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.74/1.96 0 [] -element(A,powerset(B))|subset(A,B).
% 1.74/1.96 0 [] element(A,powerset(B))| -subset(A,B).
% 1.74/1.96 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.74/1.96 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.74/1.96 0 [] -empty(A)|A=empty_set.
% 1.74/1.96 0 [] -in(A,B)| -empty(B).
% 1.74/1.96 0 [] -empty(A)|A=B| -empty(B).
% 1.74/1.96 end_of_list.
% 1.74/1.96
% 1.74/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.74/1.96
% 1.74/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.96 deletion, with positive clauses in sos and nonpositive
% 1.74/1.96 clauses in usable.
% 1.74/1.96
% 1.74/1.96 dependent: set(knuth_bendix).
% 1.74/1.96 dependent: set(anl_eq).
% 1.74/1.96 dependent: set(para_from).
% 1.74/1.96 dependent: set(para_into).
% 1.74/1.96 dependent: clear(para_from_right).
% 1.74/1.96 dependent: clear(para_into_right).
% 1.74/1.96 dependent: set(para_from_vars).
% 1.74/1.96 dependent: set(eq_units_both_ways).
% 1.74/1.96 dependent: set(dynamic_demod_all).
% 1.74/1.96 dependent: set(dynamic_demod).
% 1.74/1.96 dependent: set(order_eq).
% 1.74/1.96 dependent: set(back_demod).
% 1.74/1.96 dependent: set(lrpo).
% 1.74/1.96 dependent: set(hyper_res).
% 1.74/1.96 dependent: set(unit_deletion).
% 1.74/1.96 dependent: set(factor).
% 1.74/1.96
% 1.74/1.96 ------------> process usable:
% 1.74/1.96 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.74/1.96 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.74/1.96 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.74/1.96 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.74/1.96 ** KEPT (pick-wt=16): 5 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 1.74/1.96 ** KEPT (pick-wt=17): 6 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 1.74/1.96 ** KEPT (pick-wt=21): 7 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 1.74/1.96 ** KEPT (pick-wt=22): 8 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f1(A,C,B),B)|in($f1(A,C,B),relation_dom(A)).
% 1.74/1.96 ** KEPT (pick-wt=23): 9 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f1(A,C,B),B)|in(apply(A,$f1(A,C,B)),C).
% 1.74/1.96 ** KEPT (pick-wt=30): 10 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f1(A,C,B),B)| -in($f1(A,C,B),relation_dom(A))| -in(apply(A,$f1(A,C,B)),C).
% 1.74/1.96 ** KEPT (pick-wt=9): 11 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.74/1.96 ** KEPT (pick-wt=8): 12 [] subset(A,B)| -in($f2(A,B),B).
% 1.74/1.96 ** KEPT (pick-wt=18): 13 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f3(A,B,C),relation_dom(A)).
% 1.74/1.96 ** KEPT (pick-wt=19): 15 [copy,14,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f3(A,B,C))=C.
% 1.74/1.96 ** KEPT (pick-wt=20): 16 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 1.74/1.96 ** KEPT (pick-wt=19): 17 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f5(A,B),B)|in($f4(A,B),relation_dom(A)).
% 1.74/1.96 ** KEPT (pick-wt=22): 19 [copy,18,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f5(A,B),B)|apply(A,$f4(A,B))=$f5(A,B).
% 1.74/1.96 ** KEPT (pick-wt=24): 20 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f5(A,B),Alarm clock
% 299.88/300.09 Otter interrupted
% 299.88/300.09 PROOF NOT FOUND
%------------------------------------------------------------------------------