TSTP Solution File: SCT161+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT161+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n004.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 22:12:23 EDT 2022
% Result : Unknown 0.36s 0.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT161+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n004.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 08:39:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 ----- Otter 3.2, August 2001 -----
% 0.18/0.44 The process was started by sandbox2 on n004.cluster.edu,
% 0.18/0.44 Sat Jul 2 08:39:38 2022
% 0.18/0.44 The command was "./sos". The process ID is 32101.
% 0.18/0.44
% 0.18/0.44 set(prolog_style_variables).
% 0.18/0.44 set(auto).
% 0.18/0.44 dependent: set(auto1).
% 0.18/0.44 dependent: set(process_input).
% 0.18/0.44 dependent: clear(print_kept).
% 0.18/0.44 dependent: clear(print_new_demod).
% 0.18/0.44 dependent: clear(print_back_demod).
% 0.18/0.44 dependent: clear(print_back_sub).
% 0.18/0.44 dependent: set(control_memory).
% 0.18/0.44 dependent: assign(max_mem, 12000).
% 0.18/0.44 dependent: assign(pick_given_ratio, 4).
% 0.18/0.44 dependent: assign(stats_level, 1).
% 0.18/0.44 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.44 dependent: assign(sos_limit, 5000).
% 0.18/0.44 dependent: assign(max_weight, 60).
% 0.18/0.44 clear(print_given).
% 0.18/0.44
% 0.18/0.44 formula_list(usable).
% 0.18/0.44
% 0.18/0.44 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.18/0.44
% 0.18/0.44 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.44 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.44 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.44 clauses in usable.
% 0.18/0.44
% 0.18/0.44 dependent: set(knuth_bendix).
% 0.18/0.44 dependent: set(para_from).
% 0.18/0.44 dependent: set(para_into).
% 0.18/0.44 dependent: clear(para_from_right).
% 0.18/0.44 dependent: clear(para_into_right).
% 0.18/0.44 dependent: set(para_from_vars).
% 0.18/0.44 dependent: set(eq_units_both_ways).
% 0.18/0.44 dependent: set(dynamic_demod_all).
% 0.18/0.44 dependent: set(dynamic_demod).
% 0.18/0.44 dependent: set(order_eq).
% 0.18/0.44 dependent: set(back_demod).
% 0.18/0.44 dependent: set(lrpo).
% 0.18/0.44 dependent: set(hyper_res).
% 0.18/0.44 dependent: set(unit_deletion).
% 0.18/0.44 dependent: set(factor).
% 0.18/0.44
% 0.18/0.44 ------------> process usable:
% 0.18/0.44 Following clause subsumed by 3 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 0.18/0.44 Following clause subsumed by 5 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|B!=A.
% 0.18/0.44 Following clause subsumed by 6 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 5 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 6 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 14 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)).
% 0.18/0.44 Following clause subsumed by 14 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)).
% 0.18/0.44 Following clause subsumed by 14 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)).
% 0.18/0.44 Following clause subsumed by 23 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.18/0.44 Following clause subsumed by 13 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)).
% 0.18/0.44 Following clause subsumed by 13 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.
% 0.18/0.44 Following clause subsumed by 13 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)).
% 0.18/0.44 Following clause subsumed by 13 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.
% 0.18/0.46 Following clause subsumed by 13 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)).
% 0.18/0.46 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.18/0.46 Following clause subsumed by 4 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 0.18/0.46 Following clause subsumed by 54 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 0.18/0.46 Following clause subsumed by 51 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.18/0.46 Following clause subsumed by 50 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.18/0.46 Following clause subsumed by 29 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))).
% 0.18/0.46 Following clause subsumed by 29 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).
% 0.18/0.46 Following clause subsumed by 58 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.
% 0.18/0.46 Following clause subsumed by 58 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.
% 0.18/0.46 Following clause subsumed by 58 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).
% 0.18/0.46 Following clause subsumed by 65 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.
% 0.18/0.46 Following clause subsumed by 73 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.
% 0.18/0.46 Following clause subsumed by 74 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.
% 0.18/0.46 Following clause subsumed by 147 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))).
% 0.18/0.46 Following clause subsumed by 206 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.18/0.46 Following clause subsumed by 205 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.18/0.46 Following clause subsumed by 208 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C),B))|c_Finite__Set_Ofinite(A,C).
% 0.18/0.46 Following clause subsumed by 205 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.18/0.46 Following clause subsumed by 206 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.18/0.46 Following clause subsumed by 201 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)).
% 0.18/0.46 Following clause subsumed by 209 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,B).
% 0.18/0.46 Following clause subsumed by 213 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.
% 0.18/0.46 Following clause subsumed by 213 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.
% 0.18/0.46 Following clause subsumed by 211 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))).
% 0.18/0.46 Following clause subsumed by 219 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)).
% 0.18/0.46 Following clause subsumed by 213 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)).
% 0.18/0.46 Following clause subsumed by 210 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)).
% 0.18/0.46 Following clause subsumed by 211 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))).
% 0.18/0.46 Following clause subsumed by 241 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.
% 0.18/0.46 Following clause subsumed by 26 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.
% 0.18/0.46 Following clause subsumed by 240 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)).
% 0.18/0.46 Following clause subsumed by 241 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)).
% 0.18/0.46 Following clause subsumed by 242 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.
% 0.18/0.46 Following clause subsumed by 246 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)).
% 0.18/0.46 Following clause subsumed by 241 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.
% 0.18/0.46 Following clause subsumed by 222 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.18/0.46 Following clause subsumed by 243 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)).
% 0.18/0.46 Following clause subsumed by 247 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)).
% 0.18/0.46 Following clause subsumed by 23 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.18/0.46 Following clause subsumed by 241 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.
% 0.18/0.46 Following clause subsumed by 246 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)).
% 0.18/0.46 Following clause subsumed by 246 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)).
% 0.18/0.46 Following clause subsumed by 244 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)).
% 0.18/0.46 Following clause subsumed by 246 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)).
% 0.18/0.46 Following clause subsumed by 244 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)).
% 0.18/0.46 Following clause subsumed by 202 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)).
% 0.18/0.46 Following clause subsumed by 202 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)).
% 0.18/0.46 Following clause subsumed by 202 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)).
% 0.18/0.46 Following clause subsumed by 209 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))).
% 0.18/0.46 Following clause subsumed by 265 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)).
% 0.18/0.46 Following clause subsumed by 205 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))|B!=C.
% 0.18/0.46 Following clause subsumed by 265 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)).
% 0.18/0.46 Following clause subsumed by 266 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.
% 0.18/0.46 Following clause subsumed by 255 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)).
% 0.18/0.46 Following clause subsumed by 47 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).
% 0.18/0.46 Following clause subsumed by 279 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)|c_Finite__Set_Ocard(C,c_Set_Oimage(A,C,D,B))!=c_Finite__Set_Ocard(A,B)|c_Fun_Oinj__on(A,C,D,B).
% 0.18/0.46 Following clause subsumed by 298 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).
% 0.18/0.46 Following clause subsumed by 303 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)).
% 0.18/0.46 Following clause subsumed by 4 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 0.18/0.46 Following clause subsumed by 304 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.
% 0.18/0.47 Following clause subsumed by 303 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)).
% 0.18/0.47 Following clause subsumed by 298 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.18/0.47 Following clause subsumed by 303 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)).
% 0.18/0.47 Following clause subsumed by 304 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.18/0.47 Following clause subsumed by 303 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)).
% 0.18/0.47 Following clause subsumed by 298 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.47 Following clause subsumed by 315 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)).
% 0.18/0.47 Following clause subsumed by 317 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).
% 0.18/0.47 Following clause subsumed by 318 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)).
% 0.18/0.47 Following clause subsumed by 298 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).
% 0.18/0.47 Following clause subsumed by 323 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.47 Following clause subsumed by 323 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.47 Following clause subsumed by 324 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.18/0.47 Following clause subsumed by 324 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.18/0.47 Following clause subsumed by 314 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)).
% 0.18/0.47 Following clause subsumed by 326 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.
% 0.18/0.47 Following clause subsumed by 328 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.
% 0.18/0.47 Following clause subsumed by 327 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))).
% 0.18/0.47 Following clause subsumed by 326 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.
% 0.18/0.47 Following clause subsumed by 329 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)).
% 0.18/0.47 Following clause subsumed by 334 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 0.18/0.47 Following clause subsumed by 336 during input processing: 0 [flip.1] {-} hAPP(c_Nat_OSuc,A)!=A.
% 0.18/0.47 Following clause subsumed by 328 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).
% 0.18/0.47 Following clause subsumed by 328 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.
% 0.18/0.47 Following clause subsumed by 347 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)).
% 0.18/0.47 Following clause subsumed by 349 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)).
% 0.18/0.47 Following clause subsumed by 350 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)).
% 0.18/0.47 Following clause subsumed by 349 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)).
% 0.18/0.47 Following clause subsumed by 347 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)).
% 0.18/0.47 Following clause subsumed by 359 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,D)|c_Finite__Set_Ofinite(tc_sum(A,C),c_Sum__Type_OPlus(A,C,B,D)).
% 0.18/0.47 Following clause subsumed by 358 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).
% 0.18/0.47 Following clause subsumed by 357 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).
% 0.18/0.47 Following clause subsumed by 276 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(A,B)))|c_Finite__Set_Ofinite(A,B).
% 0.18/0.47 Following clause subsumed by 376 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)).
% 0.18/0.47 Following clause subsumed by 377 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)).
% 0.18/0.47 Following clause subsumed by 373 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))).
% 0.18/0.47 Following clause subsumed by 374 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))).
% 0.18/0.47 Following clause subsumed by 205 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.18/0.47 Following clause subsumed by 369 during input processing: 0 [unit_del,390] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 0.18/0.47 Following clause subsumed by 395 during input processing: 0 [] {-} -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(B,A)),C)=c_Orderings_Obot__class_Obot(A).
% 0.18/0.47 Following clause subsumed by 401 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.18/0.47 Following clause subsumed by 369 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 0.18/0.48 Following clause subsumed by 401 during input processing: 0 [] {-} A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(B),C),A)).
% 0.18/0.48 Following clause subsumed by 407 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))).
% 0.18/0.48 Following clause subsumed by 406 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))).
% 0.18/0.48 Following clause subsumed by 407 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)).
% 0.18/0.48 Following clause subsumed by 406 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)).
% 0.18/0.48 Following clause subsumed by 366 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)).
% 0.18/0.48 Following clause subsumed by 369 during input processing: 0 [unit_del,450] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)))).
% 0.18/0.48 Following clause subsumed by 454 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.
% 0.18/0.48 Following clause subsumed by 456 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.
% 0.18/0.48 Following clause subsumed by 459 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)).
% 0.18/0.48 Following clause subsumed by 460 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)).
% 0.18/0.48 Following clause subsumed by 472 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)).
% 0.18/0.48 Following clause subsumed by 474 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)).
% 0.18/0.48 Following clause subsumed by 481 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))).
% 0.35/0.53 Following clause subsumed by 448 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))).
% 0.35/0.53 Following clause subsumed by 450 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D)).
% 0.35/0.53 Following clause subsumed by 513 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)).
% 0.35/0.53 26 back subsumes 24.
% 0.35/0.53 60 back subsumes 38.
% 0.35/0.53 68 back subsumes 36.
% 0.35/0.53 68 back subsumes 35.
% 0.35/0.53 128 back subsumes 127.
% 0.35/0.53 222 back subsumes 220.
% 0.35/0.53 295 back subsumes 292.
% 0.35/0.53 Following clause subsumed by 324 during input processing: 0 [copy,323,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.35/0.53 Following clause subsumed by 323 during input processing: 0 [copy,324,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.35/0.53 498 back subsumes 497.
% 0.35/0.53 605 back subsumes 601.
% 0.35/0.53 607 back subsumes 599.
% 0.35/0.53 610 back subsumes 609.
% 0.35/0.53 610 back subsumes 604.
% 0.35/0.53
% 0.35/0.53 ------------> process sos:
% 0.35/0.53 Following clause subsumed by 673 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)).
% 0.35/0.53 Following clause subsumed by 677 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)).
% 0.35/0.53 Following clause subsumed by 673 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)).
% 0.35/0.53 Following clause subsumed by 682 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 0.35/0.53 Following clause subsumed by 720 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.35/0.53 Following clause subsumed by 750 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 0.35/0.53 Following clause subsumed by 719 during input processing: 0 [] {-} c_Finite__Set_Ocard(A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Finite__Set_Ofinite(A,B).
% 0.35/0.53 Following clause subsumed by 690 during input processing: 0 [copy,692,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))).
% 0.35/0.53 Following clause subsumed by 832 during input processing: 0 [copy,761,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)).
% 0.35/0.53 Following clause subsumed by 762 during input processing: 0 [copy,762,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).
% 0.35/0.53 Following clause subsumed by 763 during input processing: 0 [copy,763,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)).
% 0.35/0.53 Following clause subsumed by 832 during input processing: 0 [copy,832,flip.1] {-} A=A.
% 0.35/0.53 832 back subsumes 761.
% 0.35/0.53 832 back subsumes 663.
% 0.35/0.53 832 back subsumes 651.
% 0.35/0.53 832 back subsumes 630.
% 0.35/0.53 832 back subsumes 626.
% 0.35/0.53 832 back subsumes 621.
% 0.35/0.53 832 back subsumes 619.
% 0.35/0.53 832 back subsumes 618.
% 0.35/0.53 832 back subsumes 612.
% 0.35/0.53 832 back subsumes 607.
% 0.35/0.53 832 back subsumes 602.
% 0.35/0.53 832 back subsumes 600.
% 0.35/0.53 832 back subsumes 597.
% 0.35/0.53 832 back subsumes 596.
% 0.35/0.53 832 back subsumes 595.
% 0.35/0.53 832 back subsumes 587.
% 0.35/0.53 832 back subsumes 584.
% 0.35/0.53 832 back subsumes 580.
% 0.35/0.53 832 back subsumes 574.
% 0.35/0.53 832 back subsumes 573.
% 0.35/0.53 832 back subsumes 572.
% 0.35/0.53 832 back subsumes 571.
% 0.35/0.53 832 back subsumes 570.
% 0.35/0.53 832 back subsumes 565.
% 0.35/0.53 Following clause subsumed by 690 during input processing: 0 [copy,835,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).
% 0.35/0.53 835 back subsumes 692.
% 0.35/0.53 Following clause subsumed by 703 during input processing: 0 [copy,836,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)).
% 0.35/0.53 874 back subsumes 870.
% 0.35/0.53 Following clause subsumed by 741 during input processing: 0 [copy,895,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 0.35/0.53 Following clause subsumed by 772 during input processing: 0 [copy,898,flip.1] {-} c_Set_Oimage(A,B,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool)).
% 0.35/0.53 Following clause subsumed by 780 during input processing: 0 [copy,899,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)).
% 0.35/0.53 Following clause subsumed by 781 during input processing: 0 [copy,900,flip.1] {-} c_FuncSet_OPi(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),C)=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(A,B),tc_HOL_Obool)).
% 0.35/0.53 Following clause subsumed by 829 during input processing: 0 [copy,902,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.35/0.53 Following clause subsumed by 830 during input processing: 0 [copy,903,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.35/0.53
% 0.35/0.53 ======= end of input processing =======
% 0.35/0.54
% 0.35/0.54 SEGMENTATION FAULT!! This is probably caused by a
% 0.35/0.54 bug in Otter. Please send copy of the input file to
% 0.35/0.54 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.35/0.54 using, and send any other info that might be useful.
% 0.35/0.54
% 0.35/0.54
% 0.35/0.54 SEGMENTATION FAULT!! This is probably caused by a
% 0.35/0.54 bug in Otter. Please send copy of the input file to
% 0.35/0.54 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.35/0.54 using, and send any other info that might be useful.
% 0.35/0.54
% 0.35/0.54
% 0.35/0.54 The job finished Sat Jul 2 08:39:38 2022
%------------------------------------------------------------------------------