TSTP Solution File: SCT162+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT162+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 22:12:24 EDT 2022
% Result : Unknown 0.18s 0.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT162+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : sos-script %s
% 0.12/0.33 % Computer : n013.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 : Sat Jul 2 01:55:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42 ----- Otter 3.2, August 2001 -----
% 0.18/0.42 The process was started by sandbox on n013.cluster.edu,
% 0.18/0.42 Sat Jul 2 01:55:14 2022
% 0.18/0.42 The command was "./sos". The process ID is 7126.
% 0.18/0.42
% 0.18/0.42 set(prolog_style_variables).
% 0.18/0.42 set(auto).
% 0.18/0.42 dependent: set(auto1).
% 0.18/0.42 dependent: set(process_input).
% 0.18/0.42 dependent: clear(print_kept).
% 0.18/0.42 dependent: clear(print_new_demod).
% 0.18/0.42 dependent: clear(print_back_demod).
% 0.18/0.42 dependent: clear(print_back_sub).
% 0.18/0.42 dependent: set(control_memory).
% 0.18/0.42 dependent: assign(max_mem, 12000).
% 0.18/0.42 dependent: assign(pick_given_ratio, 4).
% 0.18/0.42 dependent: assign(stats_level, 1).
% 0.18/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.42 dependent: assign(sos_limit, 5000).
% 0.18/0.42 dependent: assign(max_weight, 60).
% 0.18/0.42 clear(print_given).
% 0.18/0.42
% 0.18/0.42 formula_list(usable).
% 0.18/0.42
% 0.18/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.18/0.42
% 0.18/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.42 clauses in usable.
% 0.18/0.42
% 0.18/0.42 dependent: set(knuth_bendix).
% 0.18/0.42 dependent: set(para_from).
% 0.18/0.42 dependent: set(para_into).
% 0.18/0.42 dependent: clear(para_from_right).
% 0.18/0.42 dependent: clear(para_into_right).
% 0.18/0.42 dependent: set(para_from_vars).
% 0.18/0.42 dependent: set(eq_units_both_ways).
% 0.18/0.42 dependent: set(dynamic_demod_all).
% 0.18/0.42 dependent: set(dynamic_demod).
% 0.18/0.42 dependent: set(order_eq).
% 0.18/0.42 dependent: set(back_demod).
% 0.18/0.42 dependent: set(lrpo).
% 0.18/0.42 dependent: set(hyper_res).
% 0.18/0.42 dependent: set(unit_deletion).
% 0.18/0.42 dependent: set(factor).
% 0.18/0.42
% 0.18/0.42 ------------> process usable:
% 0.18/0.42 Following clause subsumed by 11 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 0.18/0.42 Following clause subsumed by 13 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|B!=A.
% 0.18/0.42 Following clause subsumed by 12 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 0.18/0.42 Following clause subsumed by 14 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 0.18/0.42 Following clause subsumed by 5 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.18/0.42 Following clause subsumed by 4 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.18/0.42 Following clause subsumed by 25 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=C.
% 0.18/0.42 Following clause subsumed by 62 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|B=C.
% 0.18/0.42 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.18/0.42 Following clause subsumed by 62 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.42 Following clause subsumed by 62 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|C=B.
% 0.18/0.42 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|C!=B.
% 0.18/0.42 Following clause subsumed by 62 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.42 Following clause subsumed by 67 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.42 Following clause subsumed by 66 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.18/0.43 Following clause subsumed by 67 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.43 Following clause subsumed by 67 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.43 Following clause subsumed by 62 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.43 Following clause subsumed by 100 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hAPP(C,D)!=hAPP(C,E)|D=E.
% 0.18/0.43 Following clause subsumed by 102 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,E)!=hAPP(C,F)|E=F.
% 0.18/0.43 Following clause subsumed by 102 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|hAPP(C,E)!=hAPP(C,F)| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|E=F.
% 0.18/0.43 Following clause subsumed by 102 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,E)!=hAPP(C,F)|E=F.
% 0.18/0.43 Following clause subsumed by 106 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_List_Omeasures(A,c_List_Olist_OCons(tc_fun(A,tc_Nat_Onat),D,E))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(D,B)),hAPP(D,C))).
% 0.18/0.43 Following clause subsumed by 133 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|B=C.
% 0.18/0.43 Following clause subsumed by 133 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|C=B.
% 0.18/0.43 Following clause subsumed by 131 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.18/0.43 Following clause subsumed by 133 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.18/0.43 Following clause subsumed by 130 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.18/0.43 Following clause subsumed by 131 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.18/0.43 Following clause subsumed by 144 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.18/0.43 Following clause subsumed by 145 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.18/0.43 Following clause subsumed by 128 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.18/0.43 Following clause subsumed by 129 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.18/0.43 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C.
% 0.18/0.43 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.18/0.43 Following clause subsumed by 164 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.43 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.18/0.43 Following clause subsumed by 166 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.18/0.43 Following clause subsumed by 170 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.18/0.43 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C.
% 0.18/0.43 Following clause subsumed by 141 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.18/0.43 Following clause subsumed by 167 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.18/0.43 Following clause subsumed by 171 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.18/0.43 Following clause subsumed by 66 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.18/0.43 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.18/0.43 Following clause subsumed by 170 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.43 Following clause subsumed by 170 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.43 Following clause subsumed by 168 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.18/0.43 Following clause subsumed by 170 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.18/0.43 Following clause subsumed by 168 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.18/0.43 Following clause subsumed by 179 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.18/0.43 Following clause subsumed by 178 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.18/0.43 Following clause subsumed by 150 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.43 Following clause subsumed by 185 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.43 Following clause subsumed by 186 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B.
% 0.18/0.43 Following clause subsumed by 185 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.18/0.43 Following clause subsumed by 150 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.18/0.43 Following clause subsumed by 185 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.43 Following clause subsumed by 12 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 0.18/0.43 Following clause subsumed by 186 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=B.
% 0.18/0.43 Following clause subsumed by 185 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.43 Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 0.18/0.43 Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C),D))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.43 Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 0.18/0.43 Following clause subsumed by 217 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C)).
% 0.18/0.43 Following clause subsumed by 217 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C)).
% 0.18/0.43 Following clause subsumed by 218 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))|B=C.
% 0.18/0.43 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,E)))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,F)),hAPP(E,F))).
% 0.18/0.43 Following clause subsumed by 219 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.18/0.43 Following clause subsumed by 233 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_fun(B,tc_HOL_Obool)),C),D))| -hBOOL(hAPP(hAPP(C,E),F))|hBOOL(hAPP(hAPP(D,E),F)).
% 0.18/0.43 Following clause subsumed by 234 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.18/0.43 Following clause subsumed by 219 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.18/0.43 Following clause subsumed by 236 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),D))|hBOOL(hAPP(D,B)).
% 0.18/0.43 Following clause subsumed by 219 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.18/0.43 Following clause subsumed by 234 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.18/0.43 Following clause subsumed by 232 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.18/0.43 Following clause subsumed by 239 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 0.18/0.43 Following clause subsumed by 241 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 0.18/0.43 Following clause subsumed by 246 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),D)).
% 0.18/0.43 Following clause subsumed by 248 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),D)).
% 0.18/0.43 Following clause subsumed by 253 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 0.18/0.43 Following clause subsumed by 254 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 0.18/0.43 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,B).
% 0.18/0.43 Following clause subsumed by 280 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -c_Finite__Set_Ofinite(A,C)|c_Finite__Set_Ofinite(A,B).
% 0.18/0.43 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 0.18/0.43 Following clause subsumed by 298 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,c_Set_Oinsert(A,B,C))| -c_Finite__Set_Ofinite(A,C).
% 0.18/0.43 Following clause subsumed by 295 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))|B=C|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.43 Following clause subsumed by 297 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))|B!=C.
% 0.18/0.43 Following clause subsumed by 296 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.43 Following clause subsumed by 296 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,D,C))).
% 0.18/0.43 Following clause subsumed by 311 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(tc_sum(A,B),c_Sum__Type_OPlus(A,B,C,D))|c_Finite__Set_Ofinite(A,C).
% 0.18/0.43 Following clause subsumed by 310 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(tc_sum(A,B),c_Sum__Type_OPlus(A,B,C,D))|c_Finite__Set_Ofinite(B,D).
% 0.18/0.43 Following clause subsumed by 312 during input processing: 0 [] {-} c_Finite__Set_Ofinite(tc_sum(A,B),c_Sum__Type_OPlus(A,B,C,D))| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,D).
% 0.18/0.43 Following clause subsumed by 308 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C),c_Set_Oinsert(A,B,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C),D)).
% 0.18/0.44 Following clause subsumed by 292 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,D)|c_Finite__Set_Ocard(tc_sum(A,C),c_Sum__Type_OPlus(A,C,B,D))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Finite__Set_Ocard(A,B)),c_Finite__Set_Ocard(C,D)).
% 0.18/0.44 Following clause subsumed by 329 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.18/0.44 Following clause subsumed by 320 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.18/0.44 Following clause subsumed by 13 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.18/0.44 Following clause subsumed by 320 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.18/0.44 Following clause subsumed by 150 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.44 Following clause subsumed by 338 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.18/0.44 Following clause subsumed by 179 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.18/0.44 Following clause subsumed by 178 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 0.18/0.44 Following clause subsumed by 360 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.18/0.44 Following clause subsumed by 361 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.18/0.44 Following clause subsumed by 371 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.18/0.44 Following clause subsumed by 372 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.44 Following clause subsumed by 371 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.18/0.44 Following clause subsumed by 372 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.44 Following clause subsumed by 373 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 0.18/0.44 Following clause subsumed by 375 during input processing: 0 [flip.1] {-} hAPP(c_Nat_OSuc,A)!=A.
% 0.18/0.44 Following clause subsumed by 377 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=hAPP(c_Nat_OSuc,B).
% 0.18/0.44 Following clause subsumed by 378 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.44 Following clause subsumed by 150 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|A!=hAPP(c_Nat_OSuc,B).
% 0.18/0.44 Following clause subsumed by 385 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|A=B.
% 0.18/0.44 Following clause subsumed by 383 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.18/0.44 Following clause subsumed by 370 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.18/0.44 Following clause subsumed by 385 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B.
% 0.18/0.44 Following clause subsumed by 388 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.18/0.44 Following clause subsumed by 396 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.44 Following clause subsumed by 391 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),hAPP(c_Nat_OSuc,A)))|B!=A.
% 0.18/0.44 Following clause subsumed by 417 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.18/0.44 Following clause subsumed by 419 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.18/0.44 Following clause subsumed by 420 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.44 Following clause subsumed by 419 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B)).
% 0.18/0.44 Following clause subsumed by 417 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B)).
% 0.18/0.44 Following clause subsumed by 423 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Finite__Set_Ocard(A,c_Set_Oinsert(A,C,B))=hAPP(c_Nat_OSuc,c_Finite__Set_Ocard(A,B)).
% 0.18/0.44 Following clause subsumed by 440 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.18/0.44 Following clause subsumed by 476 during input processing: 0 [] {-} c_Set_Oimage(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool))|hAPP(C,hAPP(c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C),D))=D.
% 0.18/0.48 Following clause subsumed by 447 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oimage(C,A,D,E)))| -hBOOL(hAPP(hAPP(c_member(C),F),E))|B!=hAPP(D,F).
% 0.18/0.48 Following clause subsumed by 447 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|D!=hAPP(E,B)|hBOOL(hAPP(hAPP(c_member(F),D),c_Set_Oimage(A,F,E,C))).
% 0.18/0.48 Following clause subsumed by 470 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)| -c_Fun_Oinj__on(A,C,D,B)|c_Finite__Set_Ocard(C,c_Set_Oimage(A,C,D,B))=c_Finite__Set_Ocard(A,B).
% 0.18/0.48 Following clause subsumed by 491 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)|c_Fun_Oinj__on(A,C,D,B)|c_Finite__Set_Ocard(C,c_Set_Oimage(A,C,D,B))!=c_Finite__Set_Ocard(A,B).
% 0.18/0.48 Following clause subsumed by 484 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,tc_HOL_Obool),c_Set_Oimage(A,B,C,D)),c_Set_Oimage(A,B,C,E)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),D),E)).
% 0.18/0.48 Following clause subsumed by 501 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|c_Set_Oimage(B,A,c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C),c_Set_Oimage(A,B,C,D))=D.
% 0.18/0.48 Following clause subsumed by 21 during input processing: 0 [copy,20,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(A).
% 0.18/0.48 Following clause subsumed by 20 during input processing: 0 [copy,21,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(A,B,C).
% 0.18/0.48 28 back subsumes 27.
% 0.18/0.48 141 back subsumes 139.
% 0.18/0.48 Following clause subsumed by 372 during input processing: 0 [copy,371,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.48 Following clause subsumed by 371 during input processing: 0 [copy,372,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.18/0.48 391 back subsumes 390.
% 0.18/0.48 483 back subsumes 457.
% 0.18/0.48 489 back subsumes 455.
% 0.18/0.48 489 back subsumes 454.
% 0.18/0.48 553 back subsumes 549.
% 0.18/0.48 555 back subsumes 547.
% 0.18/0.48 558 back subsumes 557.
% 0.18/0.48 558 back subsumes 552.
% 0.18/0.48
% 0.18/0.48 ------------> process sos:
% 0.18/0.48 Following clause subsumed by 608 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 0.18/0.48 Following clause subsumed by 608 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 0.18/0.48 Following clause subsumed by 612 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 0.18/0.48 Following clause subsumed by 684 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.18/0.48 Following clause subsumed by 683 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.18/0.48 Following clause subsumed by 648 during input processing: 0 [copy,648,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)).
% 0.18/0.48 Following clause subsumed by 650 during input processing: 0 [copy,650,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A).
% 0.18/0.48 Following clause subsumed by 674 during input processing: 0 [copy,674,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 0.18/0.48 Following clause subsumed by 774 during input processing: 0 [copy,699,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)).
% 0.18/0.48 Following clause subsumed by 774 during input processing: 0 [copy,724,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.48 Following clause subsumed by 737 during input processing: 0 [copy,735,flip.1] {-} c_Set_Oimage(A,B,C,c_Set_Oimage(D,A,E,c_Orderings_Otop__class_Otop(tc_fun(D,tc_HOL_Obool))))=c_Set_Oimage(D,B,hAPP(c_COMBB(A,B,D,C),E),c_Orderings_Otop__class_Otop(tc_fun(D,tc_HOL_Obool))).
% 0.18/0.48 Following clause subsumed by 774 during input processing: 0 [copy,774,flip.1] {-} A=A.
% 0.18/0.48 774 back subsumes 724.
% 0.18/0.48 774 back subsumes 699.
% 0.18/0.48 774 back subsumes 602.
% 0.18/0.48 774 back subsumes 597.
% 0.18/0.48 774 back subsumes 596.
% 0.18/0.48 774 back subsumes 577.
% 0.18/0.48 774 back subsumes 576.
% 0.18/0.48 774 back subsumes 572.
% 0.18/0.48 774 back subsumes 569.
% 0.18/0.48 774 back subsumes 568.
% 0.18/0.48 774 back subsumes 566.
% 0.18/0.48 774 back subsumes 564.
% 0.18/0.48 774 back subsumes 561.
% 0.18/0.48 774 back subsumes 560.
% 0.18/0.48 774 back subsumes 555.
% 0.18/0.48 774 back subsumes 550.
% 0.18/0.48 774 back subsumes 548.
% 0.18/0.48 774 back subsumes 545.
% 0.18/0.48 774 back subsumes 544.
% 0.18/0.48 774 back subsumes 543.
% 0.18/0.48 774 back subsumes 539.
% 0.18/0.48 774 back subsumes 526.
% 0.18/0.48 774 back subsumes 523.
% 0.18/0.48 774 back subsumes 519.
% 0.18/0.48 774 back subsumes 517.
% 0.18/0.48 Following clause subsumed by 634 during input processing: 0 [copy,775,flip.1] {-} c_List_Olist_Olist__case(A,B,C,D,c_List_Olist_OCons(B,E,F))=hAPP(hAPP(D,E),F).
% 0.18/0.48 Following clause subsumed by 659 during input processing: 0 [copy,776,flip.1] {-} c_FuncSet_OPi(A,B,C,hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(A,B),tc_HOL_Obool)).
% 0.18/0.48 830 back subsumes 819.
% 0.18/0.48 Following clause subsumed by 736 during input processing: 0 [copy,847,flip.1] {-} c_Set_Oimage(A,B,C,c_Set_Oinsert(A,D,E))=c_Set_Oinsert(B,hAPP(C,D),c_Set_Oimage(A,B,C,E)).
% 0.18/0.48 Following clause subsumed by 737 during input processing: 0 [copy,848,flip.1] {-} c_Set_Oimage(A,B,C,c_Set_Oimage(D,A,E,F))=c_Set_Oimage(D,B,hAPP(c_COMBB(A,B,D,C),E),F).
% 0.18/0.48 848 back subsumes 735.
% 0.18/0.48 Following clause subsumed by 772 during input processing: 0 [copy,849,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.18/0.48 Following clause subsumed by 773 during input processing: 0 [copy,850,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.18/0.48
% 0.18/0.48 ======= end of input processing =======
% 0.18/0.48
% 0.18/0.48 SEGMENTATION FAULT!! This is probably caused by a
% 0.18/0.48 bug in Otter. Please send copy of the input file to
% 0.18/0.48 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/0.48 using, and send any other info that might be useful.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 SEGMENTATION FAULT!! This is probably caused by a
% 0.18/0.48 bug in Otter. Please send copy of the input file to
% 0.18/0.48 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/0.48 using, and send any other info that might be useful.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 The job finished Sat Jul 2 01:55:14 2022
%------------------------------------------------------------------------------