TSTP Solution File: SET957+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET957+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:14:35 EDT 2022
% Result : Timeout 299.83s 300.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET957+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.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 10:46:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.76/1.98 ----- Otter 3.3f, August 2004 -----
% 1.76/1.98 The process was started by sandbox on n029.cluster.edu,
% 1.76/1.98 Wed Jul 27 10:46:44 2022
% 1.76/1.98 The command was "./otter". The process ID is 17546.
% 1.76/1.98
% 1.76/1.98 set(prolog_style_variables).
% 1.76/1.98 set(auto).
% 1.76/1.98 dependent: set(auto1).
% 1.76/1.98 dependent: set(process_input).
% 1.76/1.98 dependent: clear(print_kept).
% 1.76/1.98 dependent: clear(print_new_demod).
% 1.76/1.98 dependent: clear(print_back_demod).
% 1.76/1.98 dependent: clear(print_back_sub).
% 1.76/1.98 dependent: set(control_memory).
% 1.76/1.98 dependent: assign(max_mem, 12000).
% 1.76/1.98 dependent: assign(pick_given_ratio, 4).
% 1.76/1.98 dependent: assign(stats_level, 1).
% 1.76/1.98 dependent: assign(max_seconds, 10800).
% 1.76/1.98 clear(print_given).
% 1.76/1.98
% 1.76/1.98 formula_list(usable).
% 1.76/1.98 all A (A=A).
% 1.76/1.98 all A B (in(A,B)-> -in(B,A)).
% 1.76/1.98 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.76/1.98 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.76/1.98 all A B (-empty(ordered_pair(A,B))).
% 1.76/1.98 exists A empty(A).
% 1.76/1.98 exists A (-empty(A)).
% 1.76/1.98 all A B subset(A,A).
% 1.76/1.98 all A B C D (-(subset(A,cartesian_product2(B,C))&in(D,A)& (all E F (-(in(E,B)&in(F,C)&D=ordered_pair(E,F)))))).
% 1.76/1.98 -(all A B C D E F (subset(A,cartesian_product2(B,C))&subset(D,cartesian_product2(E,F))& (all G H (in(ordered_pair(G,H),A)<->in(ordered_pair(G,H),D)))->A=D)).
% 1.76/1.98 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 1.76/1.98 end_of_list.
% 1.76/1.98
% 1.76/1.98 -------> usable clausifies to:
% 1.76/1.98
% 1.76/1.98 list(usable).
% 1.76/1.98 0 [] A=A.
% 1.76/1.98 0 [] -in(A,B)| -in(B,A).
% 1.76/1.98 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.76/1.98 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.76/1.98 0 [] -empty(ordered_pair(A,B)).
% 1.76/1.98 0 [] empty($c1).
% 1.76/1.98 0 [] -empty($c2).
% 1.76/1.98 0 [] subset(A,A).
% 1.76/1.98 0 [] -subset(A,cartesian_product2(B,C))| -in(D,A)|in($f2(A,B,C,D),B).
% 1.76/1.98 0 [] -subset(A,cartesian_product2(B,C))| -in(D,A)|in($f1(A,B,C,D),C).
% 1.76/1.98 0 [] -subset(A,cartesian_product2(B,C))| -in(D,A)|D=ordered_pair($f2(A,B,C,D),$f1(A,B,C,D)).
% 1.76/1.98 0 [] subset($c8,cartesian_product2($c7,$c6)).
% 1.76/1.98 0 [] subset($c5,cartesian_product2($c4,$c3)).
% 1.76/1.98 0 [] -in(ordered_pair(G,H),$c8)|in(ordered_pair(G,H),$c5).
% 1.76/1.98 0 [] in(ordered_pair(G,H),$c8)| -in(ordered_pair(G,H),$c5).
% 1.76/1.98 0 [] $c8!=$c5.
% 1.76/1.98 0 [] in($f3(A,B),A)|in($f3(A,B),B)|A=B.
% 1.76/1.98 0 [] -in($f3(A,B),A)| -in($f3(A,B),B)|A=B.
% 1.76/1.98 end_of_list.
% 1.76/1.98
% 1.76/1.98 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.76/1.98
% 1.76/1.98 This ia a non-Horn set with equality. The strategy will be
% 1.76/1.98 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.76/1.98 deletion, with positive clauses in sos and nonpositive
% 1.76/1.98 clauses in usable.
% 1.76/1.98
% 1.76/1.98 dependent: set(knuth_bendix).
% 1.76/1.98 dependent: set(anl_eq).
% 1.76/1.98 dependent: set(para_from).
% 1.76/1.98 dependent: set(para_into).
% 1.76/1.98 dependent: clear(para_from_right).
% 1.76/1.98 dependent: clear(para_into_right).
% 1.76/1.98 dependent: set(para_from_vars).
% 1.76/1.98 dependent: set(eq_units_both_ways).
% 1.76/1.98 dependent: set(dynamic_demod_all).
% 1.76/1.98 dependent: set(dynamic_demod).
% 1.76/1.98 dependent: set(order_eq).
% 1.76/1.98 dependent: set(back_demod).
% 1.76/1.98 dependent: set(lrpo).
% 1.76/1.98 dependent: set(hyper_res).
% 1.76/1.98 dependent: set(unit_deletion).
% 1.76/1.98 dependent: set(factor).
% 1.76/1.98
% 1.76/1.98 ------------> process usable:
% 1.76/1.98 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.76/1.98 ** KEPT (pick-wt=4): 2 [] -empty(ordered_pair(A,B)).
% 1.76/1.98 ** KEPT (pick-wt=2): 3 [] -empty($c2).
% 1.76/1.98 ** KEPT (pick-wt=15): 4 [] -subset(A,cartesian_product2(B,C))| -in(D,A)|in($f2(A,B,C,D),B).
% 1.76/1.98 ** KEPT (pick-wt=15): 5 [] -subset(A,cartesian_product2(B,C))| -in(D,A)|in($f1(A,B,C,D),C).
% 1.76/1.98 ** KEPT (pick-wt=21): 7 [copy,6,flip.3] -subset(A,cartesian_product2(B,C))| -in(D,A)|ordered_pair($f2(A,B,C,D),$f1(A,B,C,D))=D.
% 1.76/1.98 ** KEPT (pick-wt=10): 8 [] -in(ordered_pair(A,B),$c8)|in(ordered_pair(A,B),$c5).
% 1.76/1.98 ** KEPT (pick-wt=10): 9 [] in(ordered_pair(A,B),$c8)| -in(ordered_pair(A,B),$c5).
% 1.76/1.98 ** KEPT (pick-wt=3): 10 [] $c8!=$c5.
% 1.76/1.98 ** KEPT (pick-wt=13): 11 [] -in($f3(A,B),A)| -in($f3(A,B),B)|A=B.
% 1.76/1.98
% 1.76/1.98 ------------> process sos:
% 1.76/1.98 ** KEPT (pick-wt=3): 14 [] A=A.
% 1.76/1.98 ** KEPT (pick-wt=7): 15 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.76/1.98 ** KEPT (pick-wt=10): 17 [copy,16,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 1.76/1.98 ---> New Demodulator: 18 [new_demod,17] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 1.76/1.98 ** KEPT (pick-wt=2): 19 [] empty($c1).
% 1.76/1.98 ** KEPT (pick-wt=3): 20 [] subset(A,A).
% 1.76/1.98 ** KEPT (pick-wt=5): 21 [] subset($c8,cartesian_product2Alarm clock
% 299.83/300.01 Otter interrupted
% 299.83/300.01 PROOF NOT FOUND
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