TSTP Solution File: SCT164+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT164+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 0.40s 0.58s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SCT164+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : sos-script %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jul 2 07:07:29 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.23/0.49 ----- Otter 3.2, August 2001 -----
% 0.23/0.49 The process was started by sandbox2 on n021.cluster.edu,
% 0.23/0.49 Sat Jul 2 07:07:29 2022
% 0.23/0.49 The command was "./sos". The process ID is 2659.
% 0.23/0.49
% 0.23/0.49 set(prolog_style_variables).
% 0.23/0.49 set(auto).
% 0.23/0.49 dependent: set(auto1).
% 0.23/0.49 dependent: set(process_input).
% 0.23/0.49 dependent: clear(print_kept).
% 0.23/0.49 dependent: clear(print_new_demod).
% 0.23/0.49 dependent: clear(print_back_demod).
% 0.23/0.49 dependent: clear(print_back_sub).
% 0.23/0.49 dependent: set(control_memory).
% 0.23/0.49 dependent: assign(max_mem, 12000).
% 0.23/0.49 dependent: assign(pick_given_ratio, 4).
% 0.23/0.49 dependent: assign(stats_level, 1).
% 0.23/0.49 dependent: assign(pick_semantic_ratio, 3).
% 0.23/0.49 dependent: assign(sos_limit, 5000).
% 0.23/0.49 dependent: assign(max_weight, 60).
% 0.23/0.49 clear(print_given).
% 0.23/0.49
% 0.23/0.49 formula_list(usable).
% 0.23/0.49
% 0.23/0.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.23/0.49
% 0.23/0.49 This ia a non-Horn set with equality. The strategy will be
% 0.23/0.49 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.23/0.49 unit deletion, with positive clauses in sos and nonpositive
% 0.23/0.49 clauses in usable.
% 0.23/0.49
% 0.23/0.49 dependent: set(knuth_bendix).
% 0.23/0.49 dependent: set(para_from).
% 0.23/0.49 dependent: set(para_into).
% 0.23/0.49 dependent: clear(para_from_right).
% 0.23/0.49 dependent: clear(para_into_right).
% 0.23/0.49 dependent: set(para_from_vars).
% 0.23/0.49 dependent: set(eq_units_both_ways).
% 0.23/0.49 dependent: set(dynamic_demod_all).
% 0.23/0.49 dependent: set(dynamic_demod).
% 0.23/0.49 dependent: set(order_eq).
% 0.23/0.49 dependent: set(back_demod).
% 0.23/0.49 dependent: set(lrpo).
% 0.23/0.49 dependent: set(hyper_res).
% 0.23/0.49 dependent: set(unit_deletion).
% 0.23/0.49 dependent: set(factor).
% 0.23/0.49
% 0.23/0.49 ------------> process usable:
% 0.23/0.49 Following clause subsumed by 44 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 0.23/0.49 Following clause subsumed by 31 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.23/0.49 Following clause subsumed by 30 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.23/0.49 Following clause subsumed by 89 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.
% 0.23/0.49 Following clause subsumed by 90 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.23/0.49 Following clause subsumed by 89 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)).
% 0.23/0.49 Following clause subsumed by 89 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.
% 0.23/0.49 Following clause subsumed by 90 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.
% 0.23/0.49 Following clause subsumed by 89 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)).
% 0.23/0.49 Following clause subsumed by 94 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)).
% 0.23/0.49 Following clause subsumed by 93 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.23/0.49 Following clause subsumed by 94 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)).
% 0.23/0.49 Following clause subsumed by 94 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)).
% 0.23/0.50 Following clause subsumed by 89 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)).
% 0.23/0.50 Following clause subsumed by 119 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))).
% 0.23/0.50 Following clause subsumed by 148 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.
% 0.23/0.50 Following clause subsumed by 150 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.
% 0.23/0.50 Following clause subsumed by 150 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|E=F| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,E)!=hAPP(C,F).
% 0.23/0.50 Following clause subsumed by 158 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))).
% 0.23/0.50 Following clause subsumed by 163 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.
% 0.23/0.50 Following clause subsumed by 161 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.
% 0.23/0.50 Following clause subsumed by 163 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.
% 0.23/0.50 Following clause subsumed by 163 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.
% 0.23/0.50 Following clause subsumed by 158 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))).
% 0.23/0.50 Following clause subsumed by 160 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)).
% 0.23/0.50 Following clause subsumed by 171 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)).
% 0.23/0.50 Following clause subsumed by 172 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)).
% 0.23/0.50 Following clause subsumed by 171 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)).
% 0.23/0.50 Following clause subsumed by 93 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.23/0.50 Following clause subsumed by 174 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.
% 0.23/0.50 Following clause subsumed by 173 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)).
% 0.23/0.50 Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.23/0.50 Following clause subsumed by 171 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)).
% 0.23/0.50 Following clause subsumed by 171 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)).
% 0.23/0.50 Following clause subsumed by 174 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)).
% 0.23/0.50 Following clause subsumed by 172 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)).
% 0.23/0.50 Following clause subsumed by 175 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)).
% 0.23/0.50 Following clause subsumed by 178 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.
% 0.23/0.50 Following clause subsumed by 90 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.
% 0.23/0.50 Following clause subsumed by 174 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.
% 0.23/0.50 Following clause subsumed by 174 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.23/0.50 Following clause subsumed by 180 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|C=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.23/0.50 Following clause subsumed by 150 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.
% 0.23/0.50 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)).
% 0.23/0.50 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)).
% 0.23/0.50 Following clause subsumed by 194 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.
% 0.23/0.50 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)).
% 0.23/0.50 Following clause subsumed by 193 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.23/0.50 Following clause subsumed by 207 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)).
% 0.23/0.50 Following clause subsumed by 208 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)).
% 0.23/0.50 Following clause subsumed by 195 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)).
% 0.23/0.50 Following clause subsumed by 195 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)).
% 0.23/0.50 Following clause subsumed by 195 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)).
% 0.23/0.50 Following clause subsumed by 201 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))).
% 0.23/0.50 Following clause subsumed by 202 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))).
% 0.23/0.50 Following clause subsumed by 211 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))).
% 0.23/0.50 Following clause subsumed by 212 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))).
% 0.23/0.50 Following clause subsumed by 230 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))|B=C.
% 0.23/0.50 Following clause subsumed by 228 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)).
% 0.23/0.50 Following clause subsumed by 228 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)).
% 0.23/0.50 Following clause subsumed by 236 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.23/0.50 Following clause subsumed by 237 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 0.23/0.50 Following clause subsumed by 238 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 0.23/0.50 Following clause subsumed by 193 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.23/0.50 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)).
% 0.23/0.50 Following clause subsumed by 236 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 0.23/0.50 Following clause subsumed by 194 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.
% 0.23/0.50 Following clause subsumed by 231 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.23/0.50 Following clause subsumed by 247 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)).
% 0.23/0.50 Following clause subsumed by 231 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.23/0.50 Following clause subsumed by 248 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.23/0.50 Following clause subsumed by 249 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 0.23/0.50 Following clause subsumed by 231 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.23/0.50 Following clause subsumed by 248 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.23/0.51 Following clause subsumed by 251 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(D,tc_fun(E,tc_HOL_Obool)),A),F))|hBOOL(hAPP(hAPP(F,B),C)).
% 0.23/0.51 Following clause subsumed by 253 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.
% 0.23/0.51 Following clause subsumed by 255 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.
% 0.23/0.51 Following clause subsumed by 261 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)).
% 0.23/0.51 Following clause subsumed by 263 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)).
% 0.23/0.51 Following clause subsumed by 246 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)).
% 0.23/0.51 Following clause subsumed by 245 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)).
% 0.23/0.51 Following clause subsumed by 281 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,B).
% 0.23/0.51 Following clause subsumed by 282 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).
% 0.23/0.51 Following clause subsumed by 281 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))).
% 0.23/0.51 Following clause subsumed by 300 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,c_Set_Oinsert(A,B,C))| -c_Finite__Set_Ofinite(A,C).
% 0.23/0.51 Following clause subsumed by 297 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)).
% 0.23/0.51 Following clause subsumed by 299 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))|B!=C.
% 0.23/0.51 Following clause subsumed by 298 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)).
% 0.23/0.51 Following clause subsumed by 298 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))).
% 0.23/0.51 Following clause subsumed by 313 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).
% 0.23/0.51 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(B,D).
% 0.23/0.51 Following clause subsumed by 314 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).
% 0.23/0.51 Following clause subsumed by 304 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)).
% 0.23/0.51 Following clause subsumed by 294 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)).
% 0.23/0.51 Following clause subsumed by 193 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).
% 0.23/0.51 Following clause subsumed by 324 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.23/0.51 Following clause subsumed by 330 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)).
% 0.23/0.51 Following clause subsumed by 324 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.23/0.51 Following clause subsumed by 339 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.23/0.51 Following clause subsumed by 202 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)).
% 0.23/0.51 Following clause subsumed by 201 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)).
% 0.23/0.51 Following clause subsumed by 365 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))).
% 0.23/0.51 Following clause subsumed by 366 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))).
% 0.23/0.51 Following clause subsumed by 376 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.23/0.51 Following clause subsumed by 377 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.23/0.51 Following clause subsumed by 376 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.23/0.51 Following clause subsumed by 377 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.23/0.51 Following clause subsumed by 375 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)).
% 0.23/0.51 Following clause subsumed by 379 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.
% 0.23/0.51 Following clause subsumed by 381 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.
% 0.23/0.51 Following clause subsumed by 380 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))).
% 0.23/0.52 Following clause subsumed by 379 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.
% 0.23/0.52 Following clause subsumed by 382 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)).
% 0.23/0.52 Following clause subsumed by 193 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).
% 0.23/0.52 Following clause subsumed by 390 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(c_Nat_OSuc,B))).
% 0.23/0.52 Following clause subsumed by 389 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).
% 0.23/0.52 Following clause subsumed by 394 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 0.23/0.52 Following clause subsumed by 396 during input processing: 0 [flip.1] {-} hAPP(c_Nat_OSuc,A)!=A.
% 0.23/0.52 Following clause subsumed by 381 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).
% 0.23/0.52 Following clause subsumed by 381 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.
% 0.23/0.52 Following clause subsumed by 421 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)).
% 0.23/0.52 Following clause subsumed by 423 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)).
% 0.23/0.52 Following clause subsumed by 424 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)).
% 0.23/0.52 Following clause subsumed by 423 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)).
% 0.23/0.52 Following clause subsumed by 421 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)).
% 0.23/0.52 Following clause subsumed by 426 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)).
% 0.23/0.52 Following clause subsumed by 440 during input processing: 0 [flip.2] {-} -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)).
% 0.23/0.52 Following clause subsumed by 450 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)|c_Finite__Set_Ocard(A,B)=c_Finite__Set_Ofold__image(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.23/0.52 Following clause subsumed by 471 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).
% 0.23/0.52 Following clause subsumed by 484 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.
% 0.40/0.56 Following clause subsumed by 454 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).
% 0.40/0.56 Following clause subsumed by 454 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))).
% 0.40/0.56 Following clause subsumed by 502 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.
% 0.40/0.56 Following clause subsumed by 506 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,D)| -c_Fun_Oinj__on(A,C,E,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),c_Set_Oimage(A,C,E,B)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(A,B)),c_Finite__Set_Ocard(C,D))).
% 0.40/0.56 Following clause subsumed by 513 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(A,B,C)!=c_SetInterval_Oord__class_OatLeastLessThan(A,D,E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|B=D.
% 0.40/0.56 Following clause subsumed by 514 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(A,B,C)!=c_SetInterval_Oord__class_OatLeastLessThan(A,D,E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|C=E.
% 0.40/0.56 87 back subsumes 86.
% 0.40/0.56 348 back subsumes 344.
% 0.40/0.56 Following clause subsumed by 377 during input processing: 0 [copy,376,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.56 Following clause subsumed by 376 during input processing: 0 [copy,377,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.40/0.56 474 back subsumes 461.
% 0.40/0.56 474 back subsumes 460.
% 0.40/0.56 479 back subsumes 472.
% 0.40/0.56 491 back subsumes 463.
% 0.40/0.56 492 back subsumes 469.
% 0.40/0.56 568 back subsumes 564.
% 0.40/0.56 570 back subsumes 562.
% 0.40/0.56 573 back subsumes 572.
% 0.40/0.56 573 back subsumes 567.
% 0.40/0.56
% 0.40/0.56 ------------> process sos:
% 0.40/0.56 Following clause subsumed by 629 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 0.40/0.56 Following clause subsumed by 668 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)).
% 0.40/0.56 Following clause subsumed by 668 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)).
% 0.40/0.56 Following clause subsumed by 689 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.40/0.56 Following clause subsumed by 694 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)).
% 0.40/0.56 Following clause subsumed by 695 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)|c_Finite__Set_Ocard(A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.56 Following clause subsumed by 662 during input processing: 0 [copy,662,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).
% 0.40/0.56 Following clause subsumed by 663 during input processing: 0 [copy,663,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)).
% 0.40/0.56 Following clause subsumed by 681 during input processing: 0 [copy,681,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 0.40/0.57 Following clause subsumed by 792 during input processing: 0 [copy,705,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)).
% 0.40/0.57 Following clause subsumed by 792 during input processing: 0 [copy,732,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.57 Following clause subsumed by 739 during input processing: 0 [copy,738,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))).
% 0.40/0.57 Following clause subsumed by 792 during input processing: 0 [copy,792,flip.1] {-} A=A.
% 0.40/0.57 792 back subsumes 732.
% 0.40/0.57 792 back subsumes 705.
% 0.40/0.57 792 back subsumes 621.
% 0.40/0.57 792 back subsumes 614.
% 0.40/0.57 792 back subsumes 613.
% 0.40/0.57 792 back subsumes 612.
% 0.40/0.57 792 back subsumes 609.
% 0.40/0.57 792 back subsumes 608.
% 0.40/0.57 792 back subsumes 591.
% 0.40/0.57 792 back subsumes 590.
% 0.40/0.57 792 back subsumes 586.
% 0.40/0.57 792 back subsumes 583.
% 0.40/0.57 792 back subsumes 582.
% 0.40/0.57 792 back subsumes 581.
% 0.40/0.57 792 back subsumes 578.
% 0.40/0.57 792 back subsumes 576.
% 0.40/0.57 792 back subsumes 575.
% 0.40/0.57 792 back subsumes 570.
% 0.40/0.57 792 back subsumes 565.
% 0.40/0.57 792 back subsumes 563.
% 0.40/0.57 792 back subsumes 560.
% 0.40/0.57 792 back subsumes 559.
% 0.40/0.57 792 back subsumes 558.
% 0.40/0.57 792 back subsumes 550.
% 0.40/0.57 792 back subsumes 547.
% 0.40/0.57 792 back subsumes 543.
% 0.40/0.57 792 back subsumes 540.
% 0.40/0.57 792 back subsumes 538.
% 0.40/0.57 Following clause subsumed by 639 during input processing: 0 [copy,793,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)).
% 0.40/0.57 851 back subsumes 830.
% 0.40/0.57 Following clause subsumed by 737 during input processing: 0 [copy,862,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)).
% 0.40/0.57 Following clause subsumed by 739 during input processing: 0 [copy,863,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).
% 0.40/0.57 863 back subsumes 738.
% 0.40/0.57 Following clause subsumed by 742 during input processing: 0 [copy,864,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 0.40/0.57 Following clause subsumed by 789 during input processing: 0 [copy,867,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.40/0.57 Following clause subsumed by 790 during input processing: 0 [copy,868,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.40/0.57
% 0.40/0.57 ======= end of input processing =======
% 0.40/0.58
% 0.40/0.58 SEGMENTATION FAULT!! This is probably caused by a
% 0.40/0.58 bug in Otter. Please send copy of the input file to
% 0.40/0.58 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.40/0.58 using, and send any other info that might be useful.
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 SEGMENTATION FAULT!! This is probably caused by a
% 0.40/0.58 bug in Otter. Please send copy of the input file to
% 0.40/0.58 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.40/0.58 using, and send any other info that might be useful.
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 The job finished Sat Jul 2 07:07:30 2022
%------------------------------------------------------------------------------