TSTP Solution File: NUM923+6 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM923+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n009.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 14:23:06 EDT 2022
% Result : Unknown 0.38s 0.56s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM923+6 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n009.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 : 600
% 0.12/0.33 % DateTime : Thu Jul 7 10:57:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 ----- Otter 3.2, August 2001 -----
% 0.18/0.49 The process was started by sandbox on n009.cluster.edu,
% 0.18/0.49 Thu Jul 7 10:57:07 2022
% 0.18/0.49 The command was "./sos". The process ID is 29319.
% 0.18/0.49
% 0.18/0.49 set(prolog_style_variables).
% 0.18/0.49 set(auto).
% 0.18/0.49 dependent: set(auto1).
% 0.18/0.49 dependent: set(process_input).
% 0.18/0.49 dependent: clear(print_kept).
% 0.18/0.49 dependent: clear(print_new_demod).
% 0.18/0.49 dependent: clear(print_back_demod).
% 0.18/0.49 dependent: clear(print_back_sub).
% 0.18/0.49 dependent: set(control_memory).
% 0.18/0.49 dependent: assign(max_mem, 12000).
% 0.18/0.49 dependent: assign(pick_given_ratio, 4).
% 0.18/0.49 dependent: assign(stats_level, 1).
% 0.18/0.49 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.49 dependent: assign(sos_limit, 5000).
% 0.18/0.49 dependent: assign(max_weight, 60).
% 0.18/0.49 clear(print_given).
% 0.18/0.49
% 0.18/0.49 formula_list(usable).
% 0.18/0.49
% 0.18/0.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.49
% 0.18/0.49 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.49 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.49 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.49 clauses in usable.
% 0.18/0.49
% 0.18/0.49 dependent: set(knuth_bendix).
% 0.18/0.49 dependent: set(para_from).
% 0.18/0.49 dependent: set(para_into).
% 0.18/0.49 dependent: clear(para_from_right).
% 0.18/0.49 dependent: clear(para_into_right).
% 0.18/0.49 dependent: set(para_from_vars).
% 0.18/0.49 dependent: set(eq_units_both_ways).
% 0.18/0.49 dependent: set(dynamic_demod_all).
% 0.18/0.49 dependent: set(dynamic_demod).
% 0.18/0.49 dependent: set(order_eq).
% 0.18/0.49 dependent: set(back_demod).
% 0.18/0.49 dependent: set(lrpo).
% 0.18/0.49 dependent: set(hyper_res).
% 0.18/0.49 dependent: set(unit_deletion).
% 0.18/0.49 dependent: set(factor).
% 0.18/0.49
% 0.18/0.49 ------------> process usable:
% 0.18/0.49 Following clause subsumed by 30 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),D),C)|ti(A,B)=ti(A,D).
% 0.18/0.49 Following clause subsumed by 32 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),D)|ti(A,C)=ti(A,D).
% 0.18/0.49 Following clause subsumed by 40 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.18/0.49 Following clause subsumed by 43 during input processing: 0 [flip.2] {-} -real_normed_algebra(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D))=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),C),D)).
% 0.18/0.49 Following clause subsumed by 44 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),minus_minus(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),minus_minus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.18/0.49 Following clause subsumed by 46 during input processing: 0 [flip.2] {-} -real_normed_algebra(A)|hAPP(A,A,hAPP(A,fun(A,A),minus_minus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D))=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),hAPP(A,A,hAPP(A,fun(A,A),minus_minus(A),C),D)).
% 0.18/0.49 Following clause subsumed by 49 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)=ti(A,C)|ti(A,D)=ti(A,E)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),E))!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),E)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.18/0.49 Following clause subsumed by 50 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)!=ti(A,C)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),E))=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),E)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.18/0.50 Following clause subsumed by 51 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)!=ti(A,C)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),B)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),E),C))=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),E),B)).
% 0.18/0.50 Following clause subsumed by 56 during input processing: 0 [] {-} -minus(A)|hAPP(B,A,hAPP(fun(B,A),fun(B,A),hAPP(fun(B,A),fun(fun(B,A),fun(B,A)),minus_minus(fun(B,A)),C),D),E)=hAPP(A,A,hAPP(A,fun(A,A),minus_minus(A),hAPP(B,A,C,E)),hAPP(B,A,D,E)).
% 0.18/0.50 Following clause subsumed by 57 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).
% 0.18/0.50 Following clause subsumed by 58 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).
% 0.18/0.50 Following clause subsumed by 63 during input processing: 0 [] {-} -ab_sem1668676832m_mult(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),B)=ti(A,B).
% 0.18/0.50 Following clause subsumed by 68 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.18/0.50 Following clause subsumed by 68 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),E))=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),E))).
% 0.18/0.50 Following clause subsumed by 66 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),E))=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),E)).
% 0.18/0.50 Following clause subsumed by 74 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),C),D)).
% 0.18/0.50 Following clause subsumed by 99 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),A),one_one(int))),B)).
% 0.18/0.50 Following clause subsumed by 112 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),D),C)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),D)).
% 0.18/0.50 Following clause subsumed by 114 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),D)).
% 0.18/0.50 Following clause subsumed by 127 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),D),C)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),D)).
% 0.18/0.50 Following clause subsumed by 129 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),D)).
% 0.18/0.50 Following clause subsumed by 141 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))).
% 0.18/0.50 Following clause subsumed by 101 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)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C)).
% 0.18/0.50 Following clause subsumed by 101 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).
% 0.18/0.50 Following clause subsumed by 153 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))).
% 0.18/0.50 Following clause subsumed by 158 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).
% 0.18/0.50 Following clause subsumed by 156 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).
% 0.18/0.50 Following clause subsumed by 158 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).
% 0.18/0.50 Following clause subsumed by 158 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).
% 0.18/0.50 Following clause subsumed by 153 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))).
% 0.18/0.50 Following clause subsumed by 155 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)).
% 0.18/0.50 Following clause subsumed by 167 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).
% 0.18/0.50 Following clause subsumed by 168 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).
% 0.18/0.50 Following clause subsumed by 167 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)).
% 0.18/0.50 Following clause subsumed by 167 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).
% 0.18/0.50 Following clause subsumed by 168 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).
% 0.18/0.50 Following clause subsumed by 167 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)).
% 0.18/0.50 Following clause subsumed by 172 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)).
% 0.18/0.50 Following clause subsumed by 171 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).
% 0.18/0.50 Following clause subsumed by 172 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).
% 0.18/0.50 Following clause subsumed by 172 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)).
% 0.18/0.50 Following clause subsumed by 172 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)).
% 0.18/0.50 Following clause subsumed by 167 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)).
% 0.18/0.50 Following clause subsumed by 181 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)).
% 0.18/0.50 Following clause subsumed by 182 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)).
% 0.18/0.50 Following clause subsumed by 181 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)).
% 0.18/0.50 Following clause subsumed by 171 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).
% 0.18/0.50 Following clause subsumed by 101 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).
% 0.18/0.50 Following clause subsumed by 101 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).
% 0.18/0.50 Following clause subsumed by 183 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)).
% 0.18/0.50 Following clause subsumed by 156 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).
% 0.18/0.50 Following clause subsumed by 181 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)).
% 0.18/0.50 Following clause subsumed by 181 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)).
% 0.18/0.50 Following clause subsumed by 101 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)).
% 0.18/0.50 Following clause subsumed by 147 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)).
% 0.18/0.50 Following clause subsumed by 182 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)).
% 0.18/0.50 Following clause subsumed by 184 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)).
% 0.18/0.50 Following clause subsumed by 187 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).
% 0.18/0.50 Following clause subsumed by 168 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).
% 0.18/0.50 Following clause subsumed by 110 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),B),one_one(int))))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.18/0.50 Following clause subsumed by 244 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),zero_zero(A)),B)=zero_zero(A).
% 0.18/0.51 Following clause subsumed by 246 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),zero_zero(A))=zero_zero(A).
% 0.18/0.51 Following clause subsumed by 250 during input processing: 0 [] {-} -no_zero_divisors(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)!=zero_zero(A)|ti(A,B)=zero_zero(A)|ti(A,C)=zero_zero(A).
% 0.18/0.51 Following clause subsumed by 272 during input processing: 0 [] {-} -zero_neq_one(A)|zero_zero(A)!=one_one(A).
% 0.18/0.51 Following clause subsumed by 277 during input processing: 0 [] {-} -ordered_ring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C))).
% 0.18/0.51 Following clause subsumed by 275 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),zero_zero(A))).
% 0.18/0.51 Following clause subsumed by 275 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),B)),zero_zero(A))).
% 0.18/0.51 Following clause subsumed by 274 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),zero_zero(A))).
% 0.18/0.51 Following clause subsumed by 299 during input processing: 0 [] {-} -linord581940658strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),C)).
% 0.18/0.51 Following clause subsumed by 305 during input processing: 0 [] {-} -linord20386208strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),B)),zero_zero(A))).
% 0.18/0.51 Following clause subsumed by 312 during input processing: 0 [] {-} -linord581940658strict(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),D)).
% 0.18/0.51 Following clause subsumed by 299 during input processing: 0 [] {-} -linord581940658strict(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),C)).
% 0.18/0.51 Following clause subsumed by 300 during input processing: 0 [] {-} -linord581940658strict(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),C)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),B)).
% 0.18/0.51 Following clause subsumed by 325 during input processing: 0 [] {-} -ordere216010020id_add(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C))).
% 0.18/0.54 Following clause subsumed by 372 during input processing: 0 [] {-} -ordere216010020id_add(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C))).
% 0.18/0.54 Following clause subsumed by 373 during input processing: 0 [] {-} -ordere216010020id_add(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C))).
% 0.18/0.54 Following clause subsumed by 453 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B))|hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),B),A)=hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,B),A).
% 0.18/0.54 Following clause subsumed by 510 during input processing: 0 [] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=zero_zero(nat)|A!=zero_zero(nat).
% 0.18/0.54 Following clause subsumed by 523 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),A)).
% 0.18/0.54 Following clause subsumed by 525 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|B!=A.
% 0.18/0.54 Following clause subsumed by 524 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A!=B.
% 0.18/0.54 Following clause subsumed by 531 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),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),B),A)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),C),A)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.18/0.54 Following clause subsumed by 544 during input processing: 0 [] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)!=one_one(nat)|A=one_one(nat).
% 0.18/0.54 Following clause subsumed by 546 during input processing: 0 [] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)!=one_one(nat)|B=one_one(nat).
% 0.18/0.54 Following clause subsumed by 548 during input processing: 0 [] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=one_one(nat)|A!=one_one(nat)|B!=one_one(nat).
% 0.18/0.54 Following clause subsumed by 511 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),zero_zero(nat))).
% 0.18/0.54 Following clause subsumed by 525 during input processing: 0 [] {-} A!=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.18/0.54 Following clause subsumed by 511 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),zero_zero(nat))).
% 0.18/0.54 Following clause subsumed by 554 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),C),B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),C)).
% 0.18/0.54 Following clause subsumed by 553 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.18/0.54 Following clause subsumed by 567 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B)=zero_zero(nat).
% 0.18/0.54 Following clause subsumed by 537 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),zero_zero(nat)))|A!=zero_zero(nat).
% 0.37/0.55 Following clause subsumed by 353 during input processing: 0 [copy,644,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),A)),A)!=zero_zero(int).
% 0.37/0.55
% 0.37/0.55 ------------> process sos:
% 0.37/0.55 Following clause subsumed by 764 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int))).
% 0.37/0.55 Following clause subsumed by 803 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)).
% 0.37/0.55 Following clause subsumed by 803 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)).
% 0.37/0.55 Following clause subsumed by 830 during input processing: 0 [] {-} A=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.37/0.55 Following clause subsumed by 785 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),A)).
% 0.37/0.55 Following clause subsumed by 737 during input processing: 0 [copy,737,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),times_times(int),A),B)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),A).
% 0.37/0.55 Following clause subsumed by 740 during input processing: 0 [copy,740,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),A),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),B),C))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),B),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),A),C)).
% 0.37/0.55 Following clause subsumed by 741 during input processing: 0 [copy,741,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),A),B)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),B),A).
% 0.37/0.55 764 back subsumes 596.
% 0.37/0.55 764 back subsumes 595.
% 0.37/0.55 764 back subsumes 594.
% 0.37/0.55 765 back subsumes 235.
% 0.37/0.55 Following clause subsumed by 786 during input processing: 0 [copy,786,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),B),A).
% 0.37/0.55 Following clause subsumed by 790 during input processing: 0 [copy,790,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B)),C)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),C)),B).
% 0.37/0.55 Following clause subsumed by 804 during input processing: 0 [copy,804,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),A).
% 0.37/0.55 Following clause subsumed by 805 during input processing: 0 [copy,805,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),C))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),C)).
% 0.37/0.55 Following clause subsumed by 924 during input processing: 0 [copy,924,flip.1] {-} A=A.
% 0.37/0.55 924 back subsumes 683.
% 0.37/0.55 924 back subsumes 682.
% 0.37/0.55 924 back subsumes 673.
% 0.37/0.55 924 back subsumes 671.
% 0.37/0.55 924 back subsumes 670.
% 0.37/0.55 924 back subsumes 668.
% 0.37/0.55 924 back subsumes 657.
% 0.37/0.55 924 back subsumes 656.
% 0.37/0.55 924 back subsumes 591.
% 0.37/0.55 924 back subsumes 590.
% 0.37/0.55 924 back subsumes 588.
% 0.37/0.55 924 back subsumes 584.
% 0.37/0.55 Following clause subsumed by 726 during input processing: 0 [copy,925,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),A),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),C))),D)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),E),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),F))),G))=hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),A),D)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),E),G))),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),C),D)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),F),G)))).
% 0.37/0.55 Following clause subsumed by 730 during input processing: 0 [copy,926,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),A),B)),C)=hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),A),C)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),C)).
% 0.37/0.55 Following clause subsumed by 734 during input processing: 0 [copy,927,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),A),B)),C)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),A),C)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),B),C)).
% 0.37/0.55 Following clause subsumed by 931 during input processing: 0 [copy,928,flip.1] {-} hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),A),A))!=zero_zero(int).
% 0.37/0.55 Following clause subsumed by 928 during input processing: 0 [copy,931,flip.1] {-} zero_zero(int)!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),A),A)).
% 0.37/0.55 Following clause subsumed by 763 during input processing: 0 [copy,932,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)).
% 0.37/0.55 Following clause subsumed by 780 during input processing: 0 [copy,934,flip.1] {-} hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),posDivAlg,zero_zero(int)),A)=hAPP(int,product_prod(int,int),hAPP(int,fun(int,product_prod(int,int)),product_Pair(int,int),zero_zero(int)),zero_zero(int)).
% 0.37/0.55 Following clause subsumed by 789 during input processing: 0 [copy,935,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B)),C)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),B),C)).
% 0.37/0.55 Following clause subsumed by 798 during input processing: 0 [copy,936,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),A)=zero_zero(nat).
% 0.37/0.55 Following clause subsumed by 811 during input processing: 0 [copy,937,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B)),C)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),B),C)).
% 0.37/0.55 Following clause subsumed by 816 during input processing: 0 [copy,938,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B)),C)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),C)).
% 0.37/0.55 Following clause subsumed by 835 during input processing: 0 [copy,939,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B))=zero_zero(nat).
% 0.37/0.55
% 0.37/0.55 ======= end of input processing =======
% 0.37/0.55
% 0.37/0.55 SEGMENTATION FAULT!! This is probably caused by a
% 0.37/0.55 bug in Otter. Please send copy of the input file to
% 0.37/0.55 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.37/0.55 using, and send any other info that might be useful.
% 0.37/0.55
% 0.37/0.55
% 0.37/0.56 SEGMENTATION FAULT!! This is probably caused by a
% 0.37/0.56 bug in Otter. Please send copy of the input file to
% 0.37/0.56 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.37/0.56 using, and send any other info that might be useful.
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56 The job finished Thu Jul 7 10:57:07 2022
%------------------------------------------------------------------------------