TSTP Solution File: SCT170+6 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT170+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-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 : 600s
% DateTime : Mon Jul 18 22:12:32 EDT 2022
% Result : Unknown 0.51s 0.73s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT170+6 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 2 06:29:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.37/0.57 ----- Otter 3.2, August 2001 -----
% 0.37/0.57 The process was started by sandbox2 on n029.cluster.edu,
% 0.37/0.57 Sat Jul 2 06:29:25 2022
% 0.37/0.57 The command was "./sos". The process ID is 20906.
% 0.37/0.57
% 0.37/0.57 set(prolog_style_variables).
% 0.37/0.57 set(auto).
% 0.37/0.57 dependent: set(auto1).
% 0.37/0.57 dependent: set(process_input).
% 0.37/0.57 dependent: clear(print_kept).
% 0.37/0.57 dependent: clear(print_new_demod).
% 0.37/0.57 dependent: clear(print_back_demod).
% 0.37/0.57 dependent: clear(print_back_sub).
% 0.37/0.57 dependent: set(control_memory).
% 0.37/0.57 dependent: assign(max_mem, 12000).
% 0.37/0.57 dependent: assign(pick_given_ratio, 4).
% 0.37/0.57 dependent: assign(stats_level, 1).
% 0.37/0.57 dependent: assign(pick_semantic_ratio, 3).
% 0.37/0.57 dependent: assign(sos_limit, 5000).
% 0.37/0.57 dependent: assign(max_weight, 60).
% 0.37/0.57 clear(print_given).
% 0.37/0.57
% 0.37/0.57 formula_list(usable).
% 0.37/0.57
% 0.37/0.57 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.37/0.57
% 0.37/0.57 This ia a non-Horn set with equality. The strategy will be
% 0.37/0.57 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.37/0.57 unit deletion, with positive clauses in sos and nonpositive
% 0.37/0.57 clauses in usable.
% 0.37/0.57
% 0.37/0.57 dependent: set(knuth_bendix).
% 0.37/0.57 dependent: set(para_from).
% 0.37/0.57 dependent: set(para_into).
% 0.37/0.57 dependent: clear(para_from_right).
% 0.37/0.57 dependent: clear(para_into_right).
% 0.37/0.57 dependent: set(para_from_vars).
% 0.37/0.57 dependent: set(eq_units_both_ways).
% 0.37/0.57 dependent: set(dynamic_demod_all).
% 0.37/0.57 dependent: set(dynamic_demod).
% 0.37/0.57 dependent: set(order_eq).
% 0.37/0.57 dependent: set(back_demod).
% 0.37/0.57 dependent: set(lrpo).
% 0.37/0.57 dependent: set(hyper_res).
% 0.37/0.57 dependent: set(unit_deletion).
% 0.37/0.57 dependent: set(factor).
% 0.37/0.57
% 0.37/0.57 ------------> process usable:
% 0.37/0.57 Following clause subsumed by 41 during input processing: 0 [] {-} hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(B,C)=ti(B,E).
% 0.37/0.57 Following clause subsumed by 42 during input processing: 0 [] {-} hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(A,D)=ti(A,F).
% 0.37/0.57 Following clause subsumed by 56 during input processing: 0 [] {-} -hBOOL(hAPP(fun(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool),bool),bool,hAPP(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool),fun(fun(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool),bool),bool),member(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool)),A),arrow_2064824852le_Lin))|ti(arrow_490897120le_alt,B)=ti(arrow_490897120le_alt,C)| -hBOOL(hAPP(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool),bool,hAPP(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),fun(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool),bool),member(product_prod(arrow_490897120le_alt,arrow_490897120le_alt)),hAPP(arrow_490897120le_alt,product_prod(arrow_490897120le_alt,arrow_490897120le_alt),hAPP(arrow_490897120le_alt,fun(arrow_490897120le_alt,product_prod(arrow_490897120le_alt,arrow_490897120le_alt)),product_Pair(arrow_490897120le_alt,arrow_490897120le_alt),B),C)),A))| -hBOOL(hAPP(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool),bool,hAPP(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),fun(fun(product_prod(arrow_490897120le_alt,arrow_490897120le_alt),bool),bool),member(product_prod(arrow_490897120le_alt,arrow_490897120le_alt)),hAPP(arrow_490897120le_alt,product_prod(arrow_490897120le_alt,arrow_490897120le_alt),hAPP(arrow_490897120le_alt,fun(arrow_490897120le_alt,product_prod(arrow_490897120le_alt,arrow_490897120le_alt)),product_Pair(arrow_490897120le_alt,arrow_490897120le_alt),C),B)),A)).
% 0.37/0.57 Following clause subsumed by 87 during input processing: 0 [flip.1] {-} hAPP(list(B),list(B),hAPP(B,fun(list(B),list(B)),cons(B),C),A)!=A.
% 0.37/0.59 Following clause subsumed by 93 during input processing: 0 [] {-} -hBOOL(hAPP(fun(fun(A,B),bool),bool,hAPP(fun(A,B),fun(fun(fun(A,B),bool),bool),member(fun(A,B)),C),hAPP(fun(A,fun(B,bool)),fun(fun(A,B),bool),hAPP(fun(A,bool),fun(fun(A,fun(B,bool)),fun(fun(A,B),bool)),pi(A,B),D),E)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),F),D))|hBOOL(hAPP(fun(B,bool),bool,hAPP(B,fun(fun(B,bool),bool),member(B),hAPP(A,B,C,F)),hAPP(A,fun(B,bool),E,F))).
% 0.37/0.59 Following clause subsumed by 123 during input processing: 0 [] {-} A!=nil(B)|hBOOL(hAPP(list(B),bool,null(B),A)).
% 0.37/0.59 Following clause subsumed by 122 during input processing: 0 [] {-} A=nil(B)| -hBOOL(hAPP(list(B),bool,null(B),A)).
% 0.37/0.59 Following clause subsumed by 125 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),hAPP(fun(product_prod(B,A),bool),fun(B,fun(A,bool)),product_curry(B,A,bool),C),D),E))|hBOOL(hAPP(product_prod(B,A),bool,C,hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),D),E))).
% 0.37/0.59 Following clause subsumed by 134 during input processing: 0 [] {-} A!=nil(B)|hAPP(list(B),B,last(B),hAPP(list(B),list(B),hAPP(B,fun(list(B),list(B)),cons(B),C),A))=ti(B,C).
% 0.37/0.59 Following clause subsumed by 160 during input processing: 0 [] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),C)=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),D),E)|hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),F)!=D|C!=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),F),E).
% 0.37/0.59 Following clause subsumed by 178 during input processing: 0 [] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),C)!=B|C=nil(A).
% 0.37/0.59 Following clause subsumed by 180 during input processing: 0 [] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),C)=B|C!=nil(A).
% 0.37/0.59 Following clause subsumed by 182 during input processing: 0 [] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),C)!=C|B=nil(A).
% 0.37/0.59 Following clause subsumed by 184 during input processing: 0 [] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),C)=C|B!=nil(A).
% 0.37/0.59 Following clause subsumed by 173 during input processing: 0 [] {-} hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),D),E)|hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),F)!=D|C!=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),F),E).
% 0.37/0.59 Following clause subsumed by 208 during input processing: 0 [] {-} A!=nil(B)|hAPP(list(B),B,last(B),hAPP(list(B),list(B),hAPP(list(B),fun(list(B),list(B)),append(B),C),A))=hAPP(list(B),B,last(B),C).
% 0.37/0.59 Following clause subsumed by 287 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),C,D),E))|hBOOL(hAPP(product_prod(B,A),bool,hAPP(fun(B,fun(A,bool)),fun(product_prod(B,A),bool),product_prod_case(B,A,bool),C),hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),D),E))).
% 0.37/0.59 Following clause subsumed by 351 during input processing: 0 [] {-} -cl_HOL_Oequal(A)|fequal(A)=equal_equal(A).
% 0.37/0.59 Following clause subsumed by 361 during input processing: 0 [flip.1] {-} hAPP(list(A),list(A),rev(A),B)!=nil(A)|B=nil(A).
% 0.37/0.59 Following clause subsumed by 362 during input processing: 0 [flip.1] {-} hAPP(list(A),list(A),rev(A),B)=nil(A)|B!=nil(A).
% 0.37/0.59 Following clause subsumed by 381 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(list(A),fun(A,bool),set(A),C)))|hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),insert(A),B),C)=C.
% 0.37/0.59 Following clause subsumed by 406 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(list(A),fun(A,bool),set(A),C)))|C!=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),D),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),E))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(list(A),fun(A,bool),set(A),E))).
% 0.37/0.60 Following clause subsumed by 406 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(list(A),fun(A,bool),set(A),C)))|C!=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),D),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),E))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(list(A),fun(A,bool),set(A),D))).
% 0.37/0.60 Following clause subsumed by 484 during input processing: 0 [] {-} -ord(A)| -hBOOL(hAPP(fun(B,A),bool,hAPP(fun(B,A),fun(fun(B,A),bool),ord_less_eq(fun(B,A)),C),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(B,A,C,E)),hAPP(B,A,D,E))).
% 0.37/0.60 Following clause subsumed by 489 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B))|ti(A,C)=ti(A,B).
% 0.37/0.60 Following clause subsumed by 487 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B))|ti(A,C)!=ti(A,B).
% 0.37/0.60 Following clause subsumed by 489 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B))|ti(A,B)=ti(A,C).
% 0.37/0.60 Following clause subsumed by 489 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B))|ti(A,C)=ti(A,B).
% 0.37/0.60 Following clause subsumed by 484 during input processing: 0 [] {-} -ord(A)| -hBOOL(hAPP(fun(B,A),bool,hAPP(fun(B,A),fun(fun(B,A),bool),ord_less_eq(fun(B,A)),C),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(B,A,C,E)),hAPP(B,A,D,E))).
% 0.37/0.60 Following clause subsumed by 486 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B)).
% 0.37/0.60 Following clause subsumed by 497 during input processing: 0 [] {-} -top(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),top_top(A)),B))|ti(A,B)=top_top(A).
% 0.37/0.60 Following clause subsumed by 501 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(list(A),bool,linorder_sorted(A),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),D))))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(list(A),bool,linorder_sorted(A),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),D))).
% 0.37/0.60 Following clause subsumed by 516 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(list(A),nat,size_size(list(A)),B)),C))|hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),C),B)=nil(A).
% 0.37/0.60 Following clause subsumed by 545 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(A,bool,B,D))|hBOOL(hAPP(A,bool,C,D)).
% 0.37/0.60 Following clause subsumed by 546 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),C,D),E))| -hBOOL(hAPP(fun(B,fun(A,bool)),bool,hAPP(fun(B,fun(A,bool)),fun(fun(B,fun(A,bool)),bool),ord_less_eq(fun(B,fun(A,bool))),C),F))|hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),F,D),E)).
% 0.37/0.60 Following clause subsumed by 542 during input processing: 0 [] {-} ti(fun(A,bool),B)=ti(fun(A,bool),C)| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),B)).
% 0.37/0.60 Following clause subsumed by 547 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C)).
% 0.37/0.60 Following clause subsumed by 548 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),B)).
% 0.37/0.60 Following clause subsumed by 541 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),B))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),C)).
% 0.37/0.61 Following clause subsumed by 541 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),D))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.37/0.61 Following clause subsumed by 541 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),B))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),C)).
% 0.37/0.61 Following clause subsumed by 547 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C)).
% 0.37/0.61 Following clause subsumed by 548 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),B)).
% 0.37/0.61 Following clause subsumed by 555 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B))|ti(A,B)=ti(A,C).
% 0.37/0.61 Following clause subsumed by 556 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)!=ti(A,C).
% 0.37/0.61 Following clause subsumed by 555 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 555 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B))|ti(A,C)=ti(A,B).
% 0.37/0.61 Following clause subsumed by 556 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B))|ti(A,C)!=ti(A,B).
% 0.37/0.61 Following clause subsumed by 555 during input processing: 0 [] {-} -linorder(A)|ti(A,B)=ti(A,C)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 560 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 559 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)!=ti(A,C).
% 0.37/0.61 Following clause subsumed by 560 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B))|hBOOL(D).
% 0.37/0.61 Following clause subsumed by 560 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 560 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 555 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 577 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C).
% 0.37/0.61 Following clause subsumed by 556 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)!=ti(A,C).
% 0.37/0.61 Following clause subsumed by 576 during input processing: 0 [] {-} -order(A)|ti(A,B)=ti(A,C)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 577 during input processing: 0 [] {-} -order(A)|ti(A,B)=ti(A,C)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C)).
% 0.37/0.61 Following clause subsumed by 578 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|ti(A,B)=ti(A,C).
% 0.37/0.61 Following clause subsumed by 582 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B)).
% 0.37/0.61 Following clause subsumed by 577 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C).
% 0.37/0.61 Following clause subsumed by 487 during input processing: 0 [] {-} -order(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|ti(A,B)!=ti(A,C).
% 0.37/0.61 Following clause subsumed by 579 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C)).
% 0.37/0.61 Following clause subsumed by 583 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C)).
% 0.37/0.61 Following clause subsumed by 559 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)!=ti(A,C).
% 0.37/0.61 Following clause subsumed by 577 during input processing: 0 [] {-} -order(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|ti(A,B)=ti(A,C).
% 0.37/0.61 Following clause subsumed by 582 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 582 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 580 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.37/0.61 Following clause subsumed by 582 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B)).
% 0.37/0.61 Following clause subsumed by 580 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B)).
% 0.37/0.61 Following clause subsumed by 592 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less(fun(A,bool)),B),C)).
% 0.37/0.61 Following clause subsumed by 547 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))|ti(fun(A,bool),B)!=ti(fun(A,bool),C).
% 0.37/0.61 Following clause subsumed by 592 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less(fun(A,bool)),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C)).
% 0.37/0.61 Following clause subsumed by 593 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))|ti(fun(A,bool),B)=ti(fun(A,bool),C).
% 0.37/0.61 Following clause subsumed by 599 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=A.
% 0.37/0.61 Following clause subsumed by 600 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=hAPP(nat,nat,suc,B)|A=B.
% 0.37/0.61 Following clause subsumed by 602 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),A)).
% 0.37/0.61 Following clause subsumed by 604 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|B!=A.
% 0.37/0.61 Following clause subsumed by 603 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A!=B.
% 0.37/0.61 Following clause subsumed by 610 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B)))|A=B.
% 0.37/0.61 Following clause subsumed by 608 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,A)),hAPP(nat,nat,suc,B)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 589 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,A)),hAPP(nat,nat,suc,B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 610 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B.
% 0.37/0.61 Following clause subsumed by 613 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 605 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,suc,B)))|A!=hAPP(nat,nat,suc,B).
% 0.37/0.61 Following clause subsumed by 621 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,suc,B))).
% 0.37/0.61 Following clause subsumed by 620 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,suc,B)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A=hAPP(nat,nat,suc,B).
% 0.37/0.61 Following clause subsumed by 586 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 605 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 586 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 625 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B.
% 0.37/0.61 Following clause subsumed by 586 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 605 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A!=B.
% 0.37/0.61 Following clause subsumed by 586 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.37/0.61 Following clause subsumed by 603 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A!=B.
% 0.37/0.61 Following clause subsumed by 625 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A=B.
% 0.37/0.61 Following clause subsumed by 616 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),hAPP(nat,nat,suc,A)))|B!=A.
% 0.37/0.61 Following clause subsumed by 626 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.51/0.69 Following clause subsumed by 628 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.51/0.69 Following clause subsumed by 629 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.51/0.69 Following clause subsumed by 628 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B)).
% 0.51/0.69 Following clause subsumed by 626 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B)).
% 0.51/0.69 Following clause subsumed by 83 during input processing: 0 [copy,82,flip.1] {-} hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)!=nil(A).
% 0.51/0.69 Following clause subsumed by 82 during input processing: 0 [copy,83,flip.1] {-} nil(A)!=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C).
% 0.51/0.69 505 back subsumes 503.
% 0.51/0.69 616 back subsumes 615.
% 0.51/0.69
% 0.51/0.69 ------------> process sos:
% 0.51/0.69 Following clause subsumed by 884 during input processing: 0 [] {-} hAPP(A,B,hAPP(C,fun(A,B),hAPP(fun(product_prod(C,A),B),fun(C,fun(A,B)),product_curry(C,A,B),D),E),F)=hAPP(product_prod(C,A),B,D,hAPP(A,product_prod(C,A),hAPP(C,fun(A,product_prod(C,A)),product_Pair(C,A),E),F)).
% 0.51/0.69 Following clause subsumed by 890 during input processing: 0 [] {-} A=nil(B)|hAPP(list(B),B,last(B),hAPP(list(B),list(B),hAPP(B,fun(list(B),list(B)),cons(B),C),A))=hAPP(list(B),B,last(B),A).
% 0.51/0.69 Following clause subsumed by 897 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),top_top(fun(A,bool)))).
% 0.51/0.69 Following clause subsumed by 922 during input processing: 0 [] {-} A=nil(B)|hAPP(list(B),B,last(B),hAPP(list(B),list(B),hAPP(list(B),fun(list(B),list(B)),append(B),C),A))=hAPP(list(B),B,last(B),A).
% 0.51/0.69 Following clause subsumed by 986 during input processing: 0 [] {-} A=nil(B)|hAPP(list(B),B,hd(B),hAPP(list(B),list(B),hAPP(list(B),fun(list(B),list(B)),append(B),A),C))=hAPP(list(B),B,hd(B),A).
% 0.51/0.69 Following clause subsumed by 1034 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(list(A),fun(A,bool),set(A),C)))|hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),insert(A),B),C)=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C).
% 0.51/0.69 Following clause subsumed by 1066 during input processing: 0 [] {-} A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),A)).
% 0.51/0.69 Following clause subsumed by 1066 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),A)).
% 0.51/0.69 Following clause subsumed by 1090 during input processing: 0 [] {-} ti(bool,A)=fTrue|ti(bool,A)=fFalse.
% 0.51/0.69 Following clause subsumed by 1099 during input processing: 0 [copy,943,flip.1] {-} hAPP(A,B,hAPP(C,fun(A,B),D,E),F)=hAPP(A,B,hAPP(C,fun(A,B),D,E),F).
% 0.51/0.69 Following clause subsumed by 1099 during input processing: 0 [copy,998,flip.1] {-} hAPP(list(A),list(A),butlast(A),hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),C))=hAPP(list(A),list(A),butlast(A),hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),C)).
% 0.51/0.69 Following clause subsumed by 1000 during input processing: 0 [copy,999,flip.1] {-} hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),hAPP(list(A),list(A),tl(A),C))=hAPP(list(A),list(A),tl(A),hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),C)).
% 0.51/0.69 Following clause subsumed by 999 during input processing: 0 [copy,1000,flip.1] {-} hAPP(list(A),list(A),tl(A),hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),C))=hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),hAPP(list(A),list(A),tl(A),C)).
% 0.51/0.70 Following clause subsumed by 1012 during input processing: 0 [copy,1012,flip.1] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),hAPP(A,list(A),hAPP(nat,fun(A,list(A)),replicate(A),B),C)),hAPP(A,list(A),hAPP(nat,fun(A,list(A)),replicate(A),D),C))=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),hAPP(A,list(A),hAPP(nat,fun(A,list(A)),replicate(A),D),C)),hAPP(A,list(A),hAPP(nat,fun(A,list(A)),replicate(A),B),C)).
% 0.51/0.70 Following clause subsumed by 1099 during input processing: 0 [copy,1099,flip.1] {-} A=A.
% 0.51/0.70 1099 back subsumes 998.
% 0.51/0.70 1099 back subsumes 943.
% 0.51/0.70 1099 back subsumes 668.
% 0.51/0.70 1099 back subsumes 665.
% 0.51/0.70 1099 back subsumes 664.
% 0.51/0.70 1099 back subsumes 662.
% 0.51/0.70 1099 back subsumes 652.
% 0.51/0.70 Following clause subsumed by 849 during input processing: 0 [copy,1100,flip.1] {-} hAPP(list(A),B,hAPP(fun(A,fun(list(A),B)),fun(list(A),B),hAPP(B,fun(fun(A,fun(list(A),B)),fun(list(A),B)),list_case(B,A),C),D),nil(A))=ti(B,C).
% 0.51/0.70 Following clause subsumed by 850 during input processing: 0 [copy,1101,flip.1] {-} hAPP(list(A),B,hAPP(fun(A,fun(list(A),B)),fun(list(A),B),hAPP(B,fun(fun(A,fun(list(A),B)),fun(list(A),B)),list_case(B,A),C),D),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),E),F))=hAPP(list(A),B,hAPP(A,fun(list(A),B),D,E),F).
% 0.51/0.70 Following clause subsumed by 851 during input processing: 0 [copy,1102,flip.1] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),splice(A),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C)),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),D),E))=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),D),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),splice(A),C),E))).
% 0.51/0.70 Following clause subsumed by 881 during input processing: 0 [copy,1103,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),B)=ti(fun(A,bool),B).
% 0.51/0.70 Following clause subsumed by 882 during input processing: 0 [copy,1104,flip.1] {-} hAPP(list(A),B,hAPP(fun(A,fun(list(A),fun(B,B))),fun(list(A),B),hAPP(B,fun(fun(A,fun(list(A),fun(B,B))),fun(list(A),B)),list_rec(B,A),C),D),nil(A))=ti(B,C).
% 0.51/0.70 Following clause subsumed by 883 during input processing: 0 [copy,1105,flip.1] {-} hAPP(list(A),B,hAPP(fun(A,fun(list(A),fun(B,B))),fun(list(A),B),hAPP(B,fun(fun(A,fun(list(A),fun(B,B))),fun(list(A),B)),list_rec(B,A),C),D),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),E),F))=hAPP(B,B,hAPP(list(A),fun(B,B),hAPP(A,fun(list(A),fun(B,B)),D,E),F),hAPP(list(A),B,hAPP(fun(A,fun(list(A),fun(B,B))),fun(list(A),B),hAPP(B,fun(fun(A,fun(list(A),fun(B,B))),fun(list(A),B)),list_rec(B,A),C),D),F)).
% 0.51/0.70 Following clause subsumed by 884 during input processing: 0 [copy,1106,flip.1] {-} hAPP(A,B,hAPP(C,fun(A,B),hAPP(fun(product_prod(C,A),B),fun(C,fun(A,B)),product_curry(C,A,B),D),E),F)=hAPP(product_prod(C,A),B,D,hAPP(A,product_prod(C,A),hAPP(C,fun(A,product_prod(C,A)),product_Pair(C,A),E),F)).
% 0.51/0.70 Following clause subsumed by 889 during input processing: 0 [copy,1107,flip.1] {-} hAPP(list(A),list(B),hAPP(fun(A,list(B)),fun(list(A),list(B)),maps(A,B),C),nil(A))=nil(B).
% 0.51/0.70 1109 back subsumes 906.
% 0.51/0.70 Following clause subsumed by 923 during input processing: 0 [copy,1112,flip.1] {-} hAPP(list(A),list(B),hAPP(fun(A,list(B)),fun(list(A),list(B)),maps(A,B),C),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),D),E))=hAPP(list(B),list(B),hAPP(list(B),fun(list(B),list(B)),append(B),hAPP(A,list(B),C,D)),hAPP(list(A),list(B),hAPP(fun(A,list(B)),fun(list(A),list(B)),maps(A,B),C),E)).
% 0.51/0.70 Following clause subsumed by 926 during input processing: 0 [copy,1113,flip.1] {-} hAPP(list(A),A,last(A),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),nil(A))))=ti(A,C).
% 0.51/0.70 Following clause subsumed by 935 during input processing: 0 [copy,1114,flip.1] {-} hAPP(list(A),list(A),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),list(A)),hAPP(list(A),fun(fun(A,fun(list(A),list(A))),fun(list(A),list(A))),list_case(list(A),A),nil(A)),hAPP(fun(A,list(A)),fun(A,fun(list(A),list(A))),hAPP(fun(list(A),fun(list(A),list(A))),fun(fun(A,list(A)),fun(A,fun(list(A),list(A)))),combb(list(A),fun(list(A),list(A)),A),hAPP(fun(list(A),fun(list(A),list(A))),fun(list(A),fun(list(A),list(A))),combc(list(A),list(A),list(A)),append(A))),hAPP(list(A),fun(A,list(A)),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),fun(A,list(A))),combc(A,list(A),list(A)),cons(A)),nil(A)))),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C))=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),C),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),nil(A))).
% 0.51/0.70 Following clause subsumed by 974 during input processing: 0 [copy,1164,flip.1] {-} hAPP(list(A),list(A),tl(A),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),B),C))=hAPP(list(A),list(A),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),list(A)),hAPP(list(A),fun(fun(A,fun(list(A),list(A))),fun(list(A),list(A))),list_case(list(A),A),hAPP(list(A),list(A),tl(A),C)),hAPP(fun(list(A),list(A)),fun(A,fun(list(A),list(A))),combk(fun(list(A),list(A)),A),hAPP(list(A),fun(list(A),list(A)),hAPP(fun(list(A),fun(list(A),list(A))),fun(list(A),fun(list(A),list(A))),combc(list(A),list(A),list(A)),append(A)),C))),B).
% 0.51/0.70 Following clause subsumed by 984 during input processing: 0 [copy,1165,flip.1] {-} hAPP(list(A),A,hd(A),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),B),C))=ti(A,B).
% 0.51/0.70 Following clause subsumed by 1018 during input processing: 0 [copy,1168,flip.1] {-} hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),D))=hAPP(nat,list(A),hAPP(fun(nat,list(A)),fun(nat,list(A)),hAPP(list(A),fun(fun(nat,list(A)),fun(nat,list(A))),nat_case(list(A)),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),D)),hAPP(list(A),fun(nat,list(A)),hAPP(fun(nat,fun(list(A),list(A))),fun(list(A),fun(nat,list(A))),combc(nat,list(A),list(A)),drop(A)),D)),B).
% 0.51/0.70 Following clause subsumed by 1028 during input processing: 0 [copy,1169,flip.1] {-} hAPP(list(A),B,hAPP(B,fun(list(A),B),hAPP(fun(B,fun(A,B)),fun(B,fun(list(A),B)),foldl(B,A),C),D),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),E),F))=hAPP(list(A),B,hAPP(B,fun(list(A),B),hAPP(fun(B,fun(A,B)),fun(B,fun(list(A),B)),foldl(B,A),C),hAPP(list(A),B,hAPP(B,fun(list(A),B),hAPP(fun(B,fun(A,B)),fun(B,fun(list(A),B)),foldl(B,A),C),D),E)),F).
% 0.51/0.70 Following clause subsumed by 1029 during input processing: 0 [copy,1170,flip.1] {-} hAPP(list(A),B,hAPP(B,fun(list(A),B),hAPP(fun(B,fun(A,B)),fun(B,fun(list(A),B)),foldl(B,A),C),D),nil(A))=ti(B,D).
% 0.51/0.70 Following clause subsumed by 1030 during input processing: 0 [copy,1171,flip.1] {-} hAPP(list(A),B,hAPP(B,fun(list(A),B),hAPP(fun(B,fun(A,B)),fun(B,fun(list(A),B)),foldl(B,A),C),D),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),E),F))=hAPP(list(A),B,hAPP(B,fun(list(A),B),hAPP(fun(B,fun(A,B)),fun(B,fun(list(A),B)),foldl(B,A),C),hAPP(A,B,hAPP(B,fun(A,B),C,D),E)),F).
% 0.51/0.70 Following clause subsumed by 1037 during input processing: 0 [copy,1172,flip.1] {-} hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),take(A),B),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),D))=hAPP(nat,list(A),hAPP(fun(nat,list(A)),fun(nat,list(A)),hAPP(list(A),fun(fun(nat,list(A)),fun(nat,list(A))),nat_case(list(A)),nil(A)),hAPP(fun(nat,list(A)),fun(nat,list(A)),hAPP(fun(list(A),list(A)),fun(fun(nat,list(A)),fun(nat,list(A))),combb(list(A),list(A),nat),hAPP(A,fun(list(A),list(A)),cons(A),C)),hAPP(list(A),fun(nat,list(A)),hAPP(fun(nat,fun(list(A),list(A))),fun(list(A),fun(nat,list(A))),combc(nat,list(A),list(A)),take(A)),D))),B).
% 0.51/0.70 Following clause subsumed by 1046 during input processing: 0 [copy,1173,flip.1] {-} hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),take(A),hAPP(nat,nat,suc,B)),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),D))=hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),take(A),B),D)).
% 0.51/0.70 Following clause subsumed by 1053 during input processing: 0 [copy,1174,flip.1] {-} hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),take(A),B),hAPP(list(A),list(A),tl(A),C))=hAPP(list(A),list(A),tl(A),hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),take(A),hAPP(nat,nat,suc,B)),C)).
% 0.51/0.70 Following clause subsumed by 1055 during input processing: 0 [copy,1175,flip.1] {-} hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),hAPP(nat,nat,suc,B)),C)=hAPP(list(A),list(A),hAPP(nat,fun(list(A),list(A)),drop(A),B),hAPP(list(A),list(A),tl(A),C)).
% 0.51/0.70 Following clause subsumed by 1088 during input processing: 0 [copy,1176,flip.1] {-} hAPP(A,A,hAPP(A,fun(A,A),hAPP(bool,fun(A,fun(A,A)),if(A),fTrue),B),C)=ti(A,B).
% 0.51/0.70 Following clause subsumed by 1089 during input processing: 0 [copy,1177,flip.1] {-} hAPP(A,A,hAPP(A,fun(A,A),hAPP(bool,fun(A,fun(A,A)),if(A),fFalse),B),C)=ti(A,C).
% 0.51/0.70 Following clause subsumed by 1092 during input processing: 0 [copy,1178,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(C,B),fun(fun(A,C),fun(A,B)),combb(C,B,A),D),E),F)=hAPP(C,B,D,hAPP(A,C,E,F)).
% 0.51/0.70 Following clause subsumed by 1093 during input processing: 0 [copy,1179,flip.1] {-} hAPP(A,B,hAPP(C,fun(A,B),hAPP(fun(A,fun(C,B)),fun(C,fun(A,B)),combc(A,C,B),D),E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),E).
% 0.51/0.70 Following clause subsumed by 1094 during input processing: 0 [copy,1180,flip.1] {-} hAPP(A,A,combi(A),B)=ti(A,B).
% 0.51/0.70 Following clause subsumed by 1095 during input processing: 0 [copy,1181,flip.1] {-} hAPP(A,B,hAPP(B,fun(A,B),combk(B,A),C),D)=ti(B,C).
% 0.51/0.70 Following clause subsumed by 1096 during input processing: 0 [copy,1182,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(A,fun(C,B)),fun(fun(A,C),fun(A,B)),combs(A,C,B),D),E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),hAPP(A,C,E,F)).
% 0.51/0.70 Following clause subsumed by 1108 during input processing: 0 [copy,1183,flip.1] {-} hAPP(fun(fun(A,B),bool),fun(fun(A,B),bool),collect(fun(A,B)),hAPP(bool,fun(fun(A,B),bool),combk(bool,fun(A,B)),fTrue))=hAPP(fun(A,fun(B,bool)),fun(fun(A,B),bool),hAPP(fun(A,bool),fun(fun(A,fun(B,bool)),fun(fun(A,B),bool)),pi(A,B),C),hAPP(fun(B,bool),fun(A,fun(B,bool)),combk(fun(B,bool),A),hAPP(fun(B,bool),fun(B,bool),collect(B),hAPP(bool,fun(B,bool),combk(bool,B),fTrue)))).
% 0.51/0.70 Following clause subsumed by 1115 during input processing: 0 [copy,1184,flip.1] {-} hAPP(product_prod(A,B),C,hAPP(fun(A,fun(B,C)),fun(product_prod(A,B),C),produc1605651328_split(A,B,C),hAPP(fun(A,fun(B,product_prod(D,E))),fun(A,fun(B,C)),hAPP(fun(fun(B,product_prod(D,E)),fun(B,C)),fun(fun(A,fun(B,product_prod(D,E))),fun(A,fun(B,C))),combb(fun(B,product_prod(D,E)),fun(B,C),A),hAPP(fun(product_prod(D,E),C),fun(fun(B,product_prod(D,E)),fun(B,C)),combb(product_prod(D,E),C,B),hAPP(fun(D,fun(E,C)),fun(product_prod(D,E),C),produc1605651328_split(D,E,C),F))),G)),H)=hAPP(product_prod(D,E),C,hAPP(fun(D,fun(E,C)),fun(product_prod(D,E),C),produc1605651328_split(D,E,C),F),hAPP(product_prod(A,B),product_prod(D,E),hAPP(fun(A,fun(B,product_prod(D,E))),fun(product_prod(A,B),product_prod(D,E)),produc1605651328_split(A,B,product_prod(D,E)),G),H)).
% 0.51/0.70 Following clause subsumed by 1166 during input processing: 0 [copy,1185,flip.1] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),hAPP(fun(list(A),fun(A,list(A))),fun(list(A),fun(list(A),list(A))),foldl(list(A),A),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),fun(A,list(A))),combc(A,list(A),list(A)),cons(A))),nil(A)),B)),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),hAPP(fun(list(A),fun(A,list(A))),fun(list(A),fun(list(A),list(A))),foldl(list(A),A),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),fun(A,list(A))),combc(A,list(A),list(A)),cons(A))),nil(A)),C))=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),hAPP(fun(list(A),fun(A,list(A))),fun(list(A),fun(list(A),list(A))),foldl(list(A),A),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),fun(A,list(A))),combc(A,list(A),list(A)),cons(A))),nil(A)),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),C),B)).
% 0.51/0.70 Following clause subsumed by 1167 during input processing: 0 [copy,1186,flip.1] {-} hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),append(A),hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),hAPP(fun(list(A),fun(A,list(A))),fun(list(A),fun(list(A),list(A))),foldl(list(A),A),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),fun(A,list(A))),combc(A,list(A),list(A)),cons(A))),nil(A)),B)),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),nil(A)))=hAPP(list(A),list(A),hAPP(list(A),fun(list(A),list(A)),hAPP(fun(list(A),fun(A,list(A))),fun(list(A),fun(list(A),list(A))),foldl(list(A),A),hAPP(fun(A,fun(list(A),list(A))),fun(list(A),fun(A,list(A))),combc(A,list(A),list(A)),cons(A))),nil(A)),hAPP(list(A),list(A),hAPP(A,fun(list(A),list(A)),cons(A),C),B)).
% 0.51/0.70
% 0.51/0.70 ======= end of input processing =======
% 0.51/0.73
% 0.51/0.73 SEGMENTATION FAULT!! This is probably caused by a
% 0.51/0.73 bug in Otter. Please send copy of the input file to
% 0.51/0.73 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.51/0.73 using, and send any other info that might be useful.
% 0.51/0.73
% 0.51/0.73
% 0.51/0.73 SEGMENTATION FAULT!! This is probably caused by a
% 0.51/0.73 bug in Otter. Please send copy of the input file to
% 0.51/0.73 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.51/0.73 using, and send any other info that might be useful.
% 0.51/0.73
% 0.51/0.73
% 0.51/0.73 The job finished Sat Jul 2 06:29:25 2022
%------------------------------------------------------------------------------