TSTP Solution File: PUZ064-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : PUZ064-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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  : 600s
% DateTime : Mon Jul 18 18:27:05 EDT 2022

% Result   : Unknown 0.44s 0.74s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ064-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat May 28 21:55:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.44/0.67  ----- Otter 3.2, August 2001 -----
% 0.44/0.67  The process was started by sandbox2 on n027.cluster.edu,
% 0.44/0.67  Sat May 28 21:55:15 2022
% 0.44/0.67  The command was "./sos".  The process ID is 3554.
% 0.44/0.67  
% 0.44/0.67  set(prolog_style_variables).
% 0.44/0.67  set(auto).
% 0.44/0.67     dependent: set(auto1).
% 0.44/0.67     dependent: set(process_input).
% 0.44/0.67     dependent: clear(print_kept).
% 0.44/0.67     dependent: clear(print_new_demod).
% 0.44/0.67     dependent: clear(print_back_demod).
% 0.44/0.67     dependent: clear(print_back_sub).
% 0.44/0.67     dependent: set(control_memory).
% 0.44/0.67     dependent: assign(max_mem, 12000).
% 0.44/0.67     dependent: assign(pick_given_ratio, 4).
% 0.44/0.67     dependent: assign(stats_level, 1).
% 0.44/0.67     dependent: assign(pick_semantic_ratio, 3).
% 0.44/0.67     dependent: assign(sos_limit, 5000).
% 0.44/0.67     dependent: assign(max_weight, 60).
% 0.44/0.67  clear(print_given).
% 0.44/0.67  
% 0.44/0.67  list(usable).
% 0.44/0.67  
% 0.44/0.67  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.44/0.67  
% 0.44/0.67  This ia a non-Horn set with equality.  The strategy will be
% 0.44/0.67  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.44/0.67  unit deletion, with positive clauses in sos and nonpositive
% 0.44/0.67  clauses in usable.
% 0.44/0.67  
% 0.44/0.67     dependent: set(knuth_bendix).
% 0.44/0.67     dependent: set(para_from).
% 0.44/0.67     dependent: set(para_into).
% 0.44/0.67     dependent: clear(para_from_right).
% 0.44/0.67     dependent: clear(para_into_right).
% 0.44/0.67     dependent: set(para_from_vars).
% 0.44/0.67     dependent: set(eq_units_both_ways).
% 0.44/0.67     dependent: set(dynamic_demod_all).
% 0.44/0.67     dependent: set(dynamic_demod).
% 0.44/0.67     dependent: set(order_eq).
% 0.44/0.67     dependent: set(back_demod).
% 0.44/0.67     dependent: set(lrpo).
% 0.44/0.67     dependent: set(hyper_res).
% 0.44/0.67     dependent: set(unit_deletion).
% 0.44/0.67     dependent: set(factor).
% 0.44/0.67  
% 0.44/0.67  ------------> process usable:
% 0.44/0.67    Following clause subsumed by 4 during input processing: 0 [] {-} c_Datatype_Ooption_OSome(A,B)!=c_Datatype_Ooption_ONone.
% 0.44/0.67    Following clause subsumed by 36 during input processing: 0 [] {-} c_Equiv__Relations_Oquotient(A,B,C)!=c_emptyset|A=c_emptyset.
% 0.44/0.67    Following clause subsumed by 38 during input processing: 0 [] {-} c_Extraction_Osumbool_ORight!=c_Extraction_Osumbool_OLeft.
% 0.44/0.67    Following clause subsumed by 163 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_IntDef_Oof__int(c_0,A)=c_0.
% 0.44/0.67    Following clause subsumed by 261 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 263 during input processing: 0 [] {-} c_append(A,B,C)!=c_List_Olist_ONil|B=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 257 during input processing: 0 [] {-} -c_in(A,c_List_Oset(B,tc_List_Olist(C)),tc_List_Olist(C))|c_List_Oconcat(B,C)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 317 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 341 during input processing: 0 [flip.1] {-} c_List_Oremdups(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 265 during input processing: 0 [] {-} c_List_Orev(A,B)!=c_List_Olist_ONil|A=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 277 during input processing: 0 [flip.1] {-} c_append(B,A,C)!=A|B=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 278 during input processing: 0 [flip.1] {-} c_append(A,B,C)!=A|B=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 352 during input processing: 0 [] {-} c_List_Oset(A,B)!=c_emptyset|A=c_List_Olist_ONil.
% 0.44/0.67    Following clause subsumed by 325 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.44/0.67    Following clause subsumed by 378 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_NatArith_Oof__nat(c_0,A)=c_0.
% 0.44/0.67    Following clause subsumed by 411 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.44/0.68    Following clause subsumed by 411 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.44/0.68    Following clause subsumed by 411 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oiszero(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)| -c_IntDef_Oneg(c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_Numeral_Onumber__of(B,tc_nat).
% 0.44/0.68    Following clause subsumed by 402 during input processing: 0 [] {-} c_Numeral_Onumber__of(A,tc_nat)!=c_0|c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).
% 0.44/0.68    Following clause subsumed by 404 during input processing: 0 [] {-} -c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.44/0.68    Following clause subsumed by 406 during input processing: 0 [] {-} -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint)|c_Numeral_Onumber__of(A,tc_nat)=c_0.
% 0.44/0.68    Following clause subsumed by 438 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)=c_0|c_times(c_divide(C,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=C.
% 0.44/0.68    Following clause subsumed by 439 during input processing: 0 [flip.5] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_Numeral_Onumber__of(B,A)!=c_0|c_divide(C,c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.44/0.68    Following clause subsumed by 440 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_Numeral_Onumber__of(C,A),A),c_Numeral_Onumber__of(C,A),A)=B|c_Numeral_Onumber__of(C,A)=c_0.
% 0.44/0.68    Following clause subsumed by 441 during input processing: 0 [flip.4] {-} -class_Numeral_Onumber(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,c_Numeral_Onumber__of(B,A),A),c_Numeral_Onumber__of(B,A),A)=c_0.
% 0.44/0.68    Following clause subsumed by 480 during input processing: 0 [] {-} -class_Numeral_Onumber(A)| -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_uminus(c_Numeral_Onumber__of(B,A),A),A)=c_Numeral_Onumber__of(B,A).
% 0.44/0.68    Following clause subsumed by 569 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_0.
% 0.44/0.68    Following clause subsumed by 653 during input processing: 0 [] {-} c_Numeral_Obit_OB1!=c_Numeral_Obit_OB0.
% 0.44/0.68    Following clause subsumed by 665 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(B,A)!=c_0|B=c_0.
% 0.44/0.68    Following clause subsumed by 667 during input processing: 0 [] {-} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_HOL_Oabs(c_0,A)=c_0.
% 0.44/0.68    Following clause subsumed by 716 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)|c_uminus(c_0,A)=c_0.
% 0.44/0.68    Following clause subsumed by 146 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.44/0.68    Following clause subsumed by 867 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_0,A)=c_0.
% 0.44/0.68    Following clause subsumed by 869 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,c_0,A)!=c_1.
% 0.44/0.68    Following clause subsumed by 870 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(B,C,A)!=c_1|C=B.
% 0.44/0.68    Following clause subsumed by 871 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|B=c_0|c_divide(B,B,A)=c_1.
% 0.44/0.68    Following clause subsumed by 930 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=B|B=c_0|C=c_1.
% 0.44/0.69    Following clause subsumed by 936 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_times(B,C,A)!=C|C=c_0|B=c_1.
% 0.44/0.69    Following clause subsumed by 866 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(c_0,B,A),A)=c_0.
% 0.44/0.69    Following clause subsumed by 867 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(c_0,B,A),c_0,A)=c_0.
% 0.44/0.69    Following clause subsumed by 866 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_0,c_times(B,c_0,A),A)=c_0.
% 0.44/0.69    Following clause subsumed by 867 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(c_times(B,c_0,A),c_0,A)=c_0.
% 0.44/0.69    Following clause subsumed by 868 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Ofield(A)|c_divide(B,C,A)!=c_1|B=C.
% 0.44/0.69    Following clause subsumed by 146 during input processing: 0 [] {-} -class_Ring__and__Field_Oaxclass__0__neq__1(A)|c_1!=c_0.
% 0.44/0.69    Following clause subsumed by 958 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,B,A)!=c_0|B=c_0.
% 0.44/0.69    Following clause subsumed by 959 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Odivision__by__zero(A)| -class_Ring__and__Field_Oordered__field(A)|c_divide(c_1,c_0,A)=c_0.
% 0.44/0.69    Following clause subsumed by 1037 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Inter(B,C)!=c_UNIV|A=c_UNIV.
% 0.44/0.69    Following clause subsumed by 1060 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(B,c_insert(A,D,C),C)!=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1061 during input processing: 0 [flip.1,flip.2] {-} c_inter(A,c_insert(B,C,D),D)!=c_emptyset|c_inter(A,C,D)=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1062 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,A,C)|c_inter(A,c_insert(D,B,C),C)=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1055 during input processing: 0 [flip.2] {-} -c_in(A,B,tc_set(C))|c_Union(B,C)!=c_emptyset|A=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1069 during input processing: 0 [flip.2] {-} -c_in(A,B,C)|c_inter(c_insert(A,D,C),B,C)!=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1070 during input processing: 0 [flip.1,flip.2] {-} c_inter(c_insert(A,B,C),D,C)!=c_emptyset|c_inter(B,D,C)=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1071 during input processing: 0 [flip.1,flip.3] {-} c_inter(A,B,C)!=c_emptyset|c_in(D,B,C)|c_inter(c_insert(D,A,C),B,C)=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1067 during input processing: 0 [] {-} c_insert(A,B,C)!=c_emptyset.
% 0.44/0.69    Following clause subsumed by 1081 during input processing: 0 [] {-} c_insert(A,c_emptyset,B)!=c_insert(C,c_emptyset,B)|A=C.
% 0.44/0.69    Following clause subsumed by 18 during input processing: 0 [copy,7,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OAtom(E,C,D).
% 0.44/0.69    Following clause subsumed by 11 during input processing: 0 [copy,9,flip.1] {-} c_Datatype__Universe_OIn1(A,B,C)!=c_Datatype__Universe_OIn0(D,B,C).
% 0.44/0.69    Following clause subsumed by 9 during input processing: 0 [copy,11,flip.1] {-} c_Datatype__Universe_OIn0(A,B,C)!=c_Datatype__Universe_OIn1(D,B,C).
% 0.44/0.69    Following clause subsumed by 14 during input processing: 0 [copy,12,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OLeaf(D,B,C).
% 0.44/0.69    Following clause subsumed by 19 during input processing: 0 [copy,13,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_OLeaf(E,C,D).
% 0.44/0.69    Following clause subsumed by 12 during input processing: 0 [copy,14,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_ONumb(D,B,C).
% 0.44/0.69    Following clause subsumed by 20 during input processing: 0 [copy,15,flip.1] {-} c_Datatype__Universe_OScons(A,B,C,D)!=c_Datatype__Universe_ONumb(E,C,D).
% 0.44/0.73    Following clause subsumed by 7 during input processing: 0 [copy,18,flip.1] {-} c_Datatype__Universe_OAtom(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.44/0.73    Following clause subsumed by 13 during input processing: 0 [copy,19,flip.1] {-} c_Datatype__Universe_OLeaf(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.44/0.73    Following clause subsumed by 15 during input processing: 0 [copy,20,flip.1] {-} c_Datatype__Universe_ONumb(A,B,C)!=c_Datatype__Universe_OScons(D,E,B,C).
% 0.44/0.73  151 back subsumes 122.
% 0.44/0.73  611 back subsumes 610.
% 0.44/0.73  710 back subsumes 480.
% 0.44/0.73  710 back subsumes 477.
% 0.44/0.73  832 back subsumes 801.
% 0.44/0.73  833 back subsumes 802.
% 0.44/0.73  834 back subsumes 803.
% 0.44/0.73  838 back subsumes 432.
% 0.44/0.73  946 back subsumes 440.
% 0.44/0.73  965 back subsumes 438.
% 0.44/0.73    Following clause subsumed by 1088 during input processing: 0 [copy,1086,flip.1] {-} c_Sum__Type_OInr(A,B,C)!=c_Sum__Type_OInl(D,C,B).
% 0.44/0.73    Following clause subsumed by 1086 during input processing: 0 [copy,1088,flip.1] {-} c_Sum__Type_OInl(A,B,C)!=c_Sum__Type_OInr(D,C,B).
% 0.44/0.73  
% 0.44/0.73  ------------> process sos:
% 0.44/0.73    Following clause subsumed by 2458 during input processing: 0 [demod,2685] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.44/0.73    Following clause subsumed by 2458 during input processing: 0 [demod,2453] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2462] {-} A=A.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2723] {-} c_emptyset=c_emptyset.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2697,2512] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2804,2297] {-} c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_Divides_Oop_Amod(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2824] {-} c_0=c_0.
% 0.44/0.73    Following clause subsumed by 2838 during input processing: 0 [] {-} c_less(c_0,c_1,tc_nat).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2854,2854] {-} c_0=c_0.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2358,2820,2860] {-} c_1=c_1.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,2885,2891] {-} c_Numeral_OMin=c_Numeral_OMin.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [demod,3092] {-} c_emptyset=c_emptyset.
% 0.44/0.73    Following clause subsumed by 3125 during input processing: 0 [] {-} c_in(A,c_insert(A,c_emptyset,B),B).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [] {-} A=A.
% 0.44/0.73  2291 back subsumes 2290.
% 0.44/0.73  2291 back subsumes 2289.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,2318,flip.1] {-} c_emptyset=c_emptyset.
% 0.44/0.73  2422 back subsumes 2421.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,2458,flip.1] {-} c_List_Olist_ONil=c_List_Olist_ONil.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,2518,flip.1] {-} c_List_Olast(A,B)=c_List_Olast(A,B).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,2709,flip.1] {-} c_List_Olist_OCons(A,c_List_Olist_ONil,B)=c_List_Olist_OCons(A,c_List_Olist_ONil,B).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,2716,flip.1] {-} A=A.
% 0.44/0.73  2716 back subsumes 2709.
% 0.44/0.73  2716 back subsumes 2518.
% 0.44/0.73  2716 back subsumes 2458.
% 0.44/0.73  2716 back subsumes 2318.
% 0.44/0.73  2716 back subsumes 2215.
% 0.44/0.73  2716 back subsumes 2213.
% 0.44/0.73  2716 back subsumes 2137.
% 0.44/0.73  2716 back subsumes 2136.
% 0.44/0.73  2716 back subsumes 2134.
% 0.44/0.73  2716 back subsumes 2121.
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,2857,flip.1,demod,2865,2865] {-} c_0=c_0.
% 0.44/0.73  3175 back subsumes 2836.
% 0.44/0.73  3192 back subsumes 3129.
% 0.44/0.73    Following clause subsumed by 3523 during input processing: 0 [copy,3365,flip.1] {-} c_Nat_Opower(A,c_Finite__Set_Ocard(c_SetInterval_OatMost(B,tc_nat),tc_nat),tc_IntDef_Oint)=c_times(A,c_Nat_Opower(A,B,tc_IntDef_Oint),tc_IntDef_Oint).
% 0.44/0.73    Following clause subsumed by 2513 during input processing: 0 [copy,3390,flip.1] {-} c_List_Oitrev(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oitrev(B,c_List_Olist_OCons(A,D,C),C).
% 0.44/0.73    Following clause subsumed by 2562 during input processing: 0 [copy,3391,flip.1] {-} c_List_Olist__update(c_append(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize(A,tc_List_Olist(D)),E,D)=c_append(A,c_List_Olist_OCons(E,C,D),D).
% 0.44/0.73    Following clause subsumed by 2565 during input processing: 0 [copy,3392,flip.1] {-} c_List_Olists(c_inter(A,B,C),C)=c_inter(c_List_Olists(A,C),c_List_Olists(B,C),tc_List_Olist(C)).
% 0.44/0.73    Following clause subsumed by 3516 during input processing: 0 [copy,3395,flip.1] {-} c_List_Orotate(c_Finite__Set_Ocard(c_SetInterval_OatMost(A,tc_nat),tc_nat),B,C)=c_List_Orotate1(c_List_Orotate(A,B,C),C).
% 0.44/0.73    Following clause subsumed by 2738 during input processing: 0 [copy,3396,flip.1] {-} c_List_Osublist(A,c_SetInterval_OlessThan(B,tc_nat),C)=c_List_Otake(B,A,C).
% 0.44/0.73    Following clause subsumed by 2749 during input processing: 0 [copy,3397,flip.1] {-} c_List_Otake(A,c_List_Oreplicate(B,C,D),D)=c_List_Oreplicate(c_Orderings_Omin(A,B,tc_nat),C,D).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,3404,flip.1,demod,3563,3511] {-} c_Datatype__Universe_Ontrunc(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),A,tc_nat),c_Datatype__Universe_OIn1(B,C,D),C,D)=c_Datatype__Universe_Ontrunc(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),A,tc_nat),c_Datatype__Universe_OIn1(B,C,D),C,D).
% 0.44/0.73    Following clause subsumed by 2716 during input processing: 0 [copy,3405,flip.1,demod,3561,3511] {-} c_Datatype__Universe_Ontrunc(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),A,tc_nat),c_Datatype__Universe_OIn0(B,C,D),C,D)=c_Datatype__Universe_Ontrunc(c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),A,tc_nat),c_Datatype__Universe_OIn0(B,C,D),C,D).
% 0.44/0.73    Following clause subsumed by 2806 during input processing: 0 [copy,3406,flip.1] {-} c_plus(A,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)=c_plus(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),A,tc_nat).
% 0.44/0.73    Following clause subsumed by 2832 during input processing: 0 [copy,3418,flip.1] {-} c_minus(c_minus(A,B,tc_nat),C,tc_nat)=c_minus(A,c_plus(B,C,tc_nat),tc_nat).
% 0.44/0.73    Following clause subsumed by 3493 during input processing: 0 [copy,3419,flip.1] {-} c_plus(c_Finite__Set_Ocard(c_SetInterval_OatMost(A,tc_nat),tc_nat),B,tc_nat)=c_plus(A,c_Finite__Set_Ocard(c_SetInterval_OatMost(B,tc_nat),tc_nat),tc_nat).
% 0.44/0.73    Following clause subsumed by 2882 during input processing: 0 [copy,3420,flip.1] {-} c_Numeral_Obin__add(c_Numeral_OBit(A,c_Numeral_Obit_OB1),c_Numeral_OBit(B,c_Numeral_Obit_OB1))=c_Numeral_OBit(c_Numeral_Obin__add(A,c_Numeral_Obin__succ(B)),c_Numeral_Obit_OB0).
% 0.44/0.73    Following clause subsumed by 2887 during input processing: 0 [copy,3421,flip.1] {-} c_Numeral_Obin__add(A,c_Numeral_OMin)=c_Numeral_Obin__add(c_Numeral_OMin,A).
% 0.44/0.73    Following clause subsumed by 3491 during input processing: 0 [copy,3483,flip.1] {-} c_Nat_Opower(A,c_Finite__Set_Ocard(c_SetInterval_OatMost(B,tc_nat),tc_nat),tc_nat)=c_times(A,c_Nat_Opower(A,B,tc_nat),tc_nat).
% 0.44/0.73    Following clause subsumed by 2970 during input processing: 0 [copy,3484,flip.1] {-} c_Relation_OImage(c_Relation_Odiag(A,B),C,B,B)=c_inter(A,C,B).
% 0.44/0.73    Following clause subsumed by 3486 during input processing: 0 [copy,3485,flip.1] {-} c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(A,B,tc_nat),tc_nat)=c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(B,tc_nat),tc_nat),A,tc_nat).
% 0.44/0.73    Following clause subsumed by 3485 during input processing: 0 [copy,3486,flip.1] {-} c_minus(c_Finite__Set_Ocard(c_SetInterval_OatMost(A,tc_nat),tc_nat),B,tc_nat)=c_Finite__Set_Ocard(c_SetInterval_OatLeastAtMost(B,A,tc_nat),tc_nat).
% 0.44/0.73    Following clause subsumed by 3483 during input processing: 0 [copy,3491,flip.1] {-} c_times(A,c_Nat_Opower(A,B,tc_nat),tc_nat)=c_Nat_Opower(A,c_Finite__Set_Ocard(c_SetInterval_OatMost(B,tc_nat),tc_nat),tc_nat).
% 0.44/0.73    Following clause subsumed by 3419 during input processing: 0 [copy,3493,flip.1] {-} c_plus(A,c_Finite__Set_Ocard(c_SetInterval_OatMost(B,tc_nat),tc_nat),tc_nat)=c_plus(c_Finite__Set_Ocard(c_SetInterval_OatMost(A,tc_nat),tc_nat),B,tc_nat).
% 0.44/0.73    Following clause subsumed by 3395 during input processing: 0 [copy,3516,flip.1] {-} c_List_Orotate1(c_List_Orotate(A,B,C),C)=c_List_Orotate(c_Finite__Set_Ocard(c_SetInterval_OatMost(A,tc_nat),tc_nat),B,C).
% 0.44/0.73    Following clause subsumed by 3365 during input processing: 0 [copy,3523,flip.1] {-} c_times(A,c_Nat_Opower(A,B,tc_IntDef_Oint),tc_IntDef_Oint)=c_Nat_Opower(A,c_Finite__Set_Ocard(c_SetInterval_OatMost(B,tc_nat),tc_nat),tc_IntDef_Oint).
% 0.44/0.73    Following clause subsumed by 3020 during input processing: 0 [copy,3555,flip.1] {-} c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(A,B,tc_nat),tc_nat)=c_minus(B,c_Finite__Set_Ocard(c_SetInterval_OatMost(A,tc_nat),tc_nat),tc_nat).
% 0.44/0.73    Following clause subsumed by 3022 during input processing: 0 [copy,3556,flip.1] {-} c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(A,B,tc_IntDef_Oint),tc_IntDef_Oint)=c_Finite__Set_Ocard(c_SetInterval_OatLeastLessThan(c_plus(A,c_1,tc_IntDef_Oint),B,tc_IntDef_Oint),tc_IntDef_Oint).
% 0.44/0.73    Following clause subsumed by 3077 during input processing: 0 [copy,3558,flip.1] {-} c_Pow(c_inter(A,B,C),C)=c_inter(c_Pow(A,C),c_Pow(B,C),tc_set(C)).
% 0.44/0.73  
% 0.44/0.73  ======= end of input processing =======
% 0.44/0.74  
% 0.44/0.74  SEGMENTATION FAULT!!  This is probably caused by a
% 0.44/0.74  bug in Otter.  Please send copy of the input file to
% 0.44/0.74  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.44/0.74  using, and send any other info that might be useful.
% 0.44/0.74  
% 0.44/0.74  
% 0.44/0.74  SEGMENTATION FAULT!!  This is probably caused by a
% 0.44/0.74  bug in Otter.  Please send copy of the input file to
% 0.44/0.74  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.44/0.74  using, and send any other info that might be useful.
% 0.44/0.74  
% 0.44/0.74  
% 0.44/0.74  The job finished Sat May 28 21:55:15 2022
%------------------------------------------------------------------------------