TSTP Solution File: SCT160+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT160+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 0.38s 0.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT160+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 04:05:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.47 ----- Otter 3.2, August 2001 -----
% 0.21/0.47 The process was started by sandbox on n020.cluster.edu,
% 0.21/0.47 Sat Jul 2 04:05:15 2022
% 0.21/0.47 The command was "./sos". The process ID is 32033.
% 0.21/0.47
% 0.21/0.47 set(prolog_style_variables).
% 0.21/0.47 set(auto).
% 0.21/0.47 dependent: set(auto1).
% 0.21/0.47 dependent: set(process_input).
% 0.21/0.47 dependent: clear(print_kept).
% 0.21/0.47 dependent: clear(print_new_demod).
% 0.21/0.47 dependent: clear(print_back_demod).
% 0.21/0.47 dependent: clear(print_back_sub).
% 0.21/0.47 dependent: set(control_memory).
% 0.21/0.47 dependent: assign(max_mem, 12000).
% 0.21/0.47 dependent: assign(pick_given_ratio, 4).
% 0.21/0.47 dependent: assign(stats_level, 1).
% 0.21/0.47 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.47 dependent: assign(sos_limit, 5000).
% 0.21/0.47 dependent: assign(max_weight, 60).
% 0.21/0.47 clear(print_given).
% 0.21/0.47
% 0.21/0.47 formula_list(usable).
% 0.21/0.47
% 0.21/0.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.21/0.47
% 0.21/0.47 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.47 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.47 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.47 clauses in usable.
% 0.21/0.47
% 0.21/0.47 dependent: set(knuth_bendix).
% 0.21/0.47 dependent: set(para_from).
% 0.21/0.47 dependent: set(para_into).
% 0.21/0.47 dependent: clear(para_from_right).
% 0.21/0.47 dependent: clear(para_into_right).
% 0.21/0.47 dependent: set(para_from_vars).
% 0.21/0.47 dependent: set(eq_units_both_ways).
% 0.21/0.47 dependent: set(dynamic_demod_all).
% 0.21/0.47 dependent: set(dynamic_demod).
% 0.21/0.47 dependent: set(order_eq).
% 0.21/0.47 dependent: set(back_demod).
% 0.21/0.47 dependent: set(lrpo).
% 0.21/0.47 dependent: set(hyper_res).
% 0.21/0.47 dependent: set(unit_deletion).
% 0.21/0.47 dependent: set(factor).
% 0.21/0.47
% 0.21/0.47 ------------> process usable:
% 0.21/0.47 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))).
% 0.21/0.47 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))).
% 0.21/0.47 Following clause subsumed by 27 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),A),c_Arrow__Order__Mirabelle_OLin))|B=C| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),A))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),B)),A)).
% 0.21/0.47 Following clause subsumed by 29 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 0.21/0.47 Following clause subsumed by 8 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.21/0.47 Following clause subsumed by 7 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.21/0.47 Following clause subsumed by 35 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.21/0.47 Following clause subsumed by 36 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 0.21/0.47 Following clause subsumed by 37 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 0.21/0.47 Following clause subsumed by 91 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))).
% 0.21/0.47 Following clause subsumed by 128 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C))).
% 0.21/0.48 Following clause subsumed by 127 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 0.21/0.48 Following clause subsumed by 141 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),B)),C))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 0.21/0.48 Following clause subsumed by 150 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.21/0.48 Following clause subsumed by 151 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.21/0.48 Following clause subsumed by 165 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 0.21/0.48 Following clause subsumed by 165 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 0.21/0.48 Following clause subsumed by 144 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A=B.
% 0.21/0.48 Following clause subsumed by 145 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A!=B.
% 0.21/0.48 Following clause subsumed by 187 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 0.21/0.48 Following clause subsumed by 218 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),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,C))).
% 0.21/0.48 Following clause subsumed by 215 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),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,A)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B))).
% 0.21/0.48 Following clause subsumed by 220 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Groups_Otimes__class_Otimes(A,B,C)!=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.48 Following clause subsumed by 195 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),B)).
% 0.21/0.48 Following clause subsumed by 194 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 0.21/0.48 Following clause subsumed by 236 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 0.21/0.48 Following clause subsumed by 200 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,C,B)),c_Groups_Ozero__class_Ozero(A))).
% 0.21/0.48 Following clause subsumed by 194 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 0.21/0.48 Following clause subsumed by 205 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 0.21/0.48 Following clause subsumed by 214 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 0.21/0.48 Following clause subsumed by 215 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 0.21/0.48 Following clause subsumed by 204 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.21/0.48 Following clause subsumed by 206 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.48 Following clause subsumed by 205 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 0.21/0.48 Following clause subsumed by 250 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),D)=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.21/0.48 Following clause subsumed by 250 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,c_Groups_Otimes__class_Otimes(A,D,E))).
% 0.21/0.48 Following clause subsumed by 248 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Otimes__class_Otimes(A,D,c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),E)).
% 0.21/0.48 Following clause subsumed by 278 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Otimes__class_Otimes(A,B,C))).
% 0.21/0.49 Following clause subsumed by 276 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -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_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 0.21/0.49 Following clause subsumed by 276 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(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),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,C,B)),c_Groups_Ozero__class_Ozero(A))).
% 0.21/0.49 Following clause subsumed by 275 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(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),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 0.21/0.49 Following clause subsumed by 300 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B))).
% 0.21/0.49 Following clause subsumed by 306 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)!=hAPP(c_Int_Onat,B)|A=B.
% 0.21/0.49 Following clause subsumed by 307 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,B)|A!=B.
% 0.21/0.49 Following clause subsumed by 331 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.49 Following clause subsumed by 332 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 0.21/0.49 Following clause subsumed by 189 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 0.21/0.49 Following clause subsumed by 189 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 0.21/0.49 Following clause subsumed by 353 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)).
% 0.21/0.49 Following clause subsumed by 353 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)).
% 0.21/0.49 Following clause subsumed by 353 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)).
% 0.21/0.49 Following clause subsumed by 359 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).
% 0.21/0.49 Following clause subsumed by 35 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 0.21/0.49 Following clause subsumed by 367 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.
% 0.21/0.49 Following clause subsumed by 366 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)).
% 0.21/0.49 Following clause subsumed by 359 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.21/0.49 Following clause subsumed by 366 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)).
% 0.21/0.49 Following clause subsumed by 367 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)).
% 0.21/0.49 Following clause subsumed by 366 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)).
% 0.21/0.49 Following clause subsumed by 359 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.21/0.49 Following clause subsumed by 366 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)).
% 0.21/0.49 Following clause subsumed by 373 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.
% 0.21/0.49 Following clause subsumed by 371 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)).
% 0.21/0.49 Following clause subsumed by 371 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)).
% 0.21/0.49 Following clause subsumed by 379 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.21/0.49 Following clause subsumed by 380 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.21/0.49 Following clause subsumed by 369 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.21/0.49 Following clause subsumed by 368 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.21/0.49 Following clause subsumed by 382 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.21/0.49 Following clause subsumed by 369 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.21/0.49 Following clause subsumed by 384 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))).
% 0.21/0.49 Following clause subsumed by 389 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.
% 0.21/0.49 Following clause subsumed by 387 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.
% 0.21/0.49 Following clause subsumed by 389 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.
% 0.21/0.49 Following clause subsumed by 389 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.
% 0.21/0.49 Following clause subsumed by 384 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))).
% 0.21/0.49 Following clause subsumed by 386 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)).
% 0.21/0.49 Following clause subsumed by 400 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)).
% 0.21/0.49 Following clause subsumed by 400 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)).
% 0.21/0.49 Following clause subsumed by 400 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)).
% 0.21/0.49 Following clause subsumed by 409 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.21/0.49 Following clause subsumed by 399 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)).
% 0.21/0.49 Following clause subsumed by 399 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.
% 0.21/0.49 Following clause subsumed by 399 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)).
% 0.21/0.49 Following clause subsumed by 399 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.
% 0.21/0.49 Following clause subsumed by 399 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)).
% 0.21/0.49 Following clause subsumed by 412 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.21/0.49 Following clause subsumed by 420 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)).
% 0.21/0.49 Following clause subsumed by 421 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)).
% 0.21/0.49 Following clause subsumed by 420 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)).
% 0.21/0.49 Following clause subsumed by 409 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.21/0.49 Following clause subsumed by 423 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.
% 0.21/0.49 Following clause subsumed by 422 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)).
% 0.21/0.49 Following clause subsumed by 387 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.21/0.49 Following clause subsumed by 420 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)).
% 0.21/0.49 Following clause subsumed by 420 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)).
% 0.21/0.49 Following clause subsumed by 423 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)).
% 0.21/0.49 Following clause subsumed by 421 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)).
% 0.21/0.49 Following clause subsumed by 424 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)).
% 0.21/0.49 Following clause subsumed by 427 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.
% 0.21/0.49 Following clause subsumed by 412 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.
% 0.21/0.49 Following clause subsumed by 423 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.
% 0.21/0.49 Following clause subsumed by 423 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)).
% 0.21/0.49 Following clause subsumed by 429 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)).
% 0.21/0.49 Following clause subsumed by 374 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.21/0.49 Following clause subsumed by 435 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)).
% 0.21/0.49 Following clause subsumed by 374 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.21/0.49 Following clause subsumed by 436 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.21/0.49 Following clause subsumed by 437 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)).
% 0.21/0.49 Following clause subsumed by 374 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.21/0.49 Following clause subsumed by 436 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.21/0.49 Following clause subsumed by 439 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)).
% 0.21/0.49 Following clause subsumed by 462 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Orestrict(A,D,E,C),B)=hAPP(E,B).
% 0.21/0.49 Following clause subsumed by 466 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool),C)),c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool),B))).
% 0.21/0.49 Following clause subsumed by 467 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool),C)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.21/0.49 Following clause subsumed by 467 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool),C)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.21/0.49 Following clause subsumed by 479 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=C|c_Groups_Ouminus__class_Ouminus(A,C)!=B.
% 0.21/0.49 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=c_Groups_Ouminus__class_Ouminus(A,C)|C!=c_Groups_Ouminus__class_Ouminus(A,B).
% 0.21/0.49 Following clause subsumed by 482 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B)),c_Groups_Ouminus__class_Ouminus(A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.21/0.49 Following clause subsumed by 484 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C)),B)).
% 0.21/0.49 Following clause subsumed by 485 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ouminus__class_Ouminus(A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ouminus__class_Ouminus(A,B))).
% 0.21/0.49 Following clause subsumed by 486 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.49 Following clause subsumed by 487 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.49 Following clause subsumed by 495 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ouminus__class_Ouminus(A,B)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ouminus__class_Ouminus(A,C)),B)).
% 0.21/0.49 Following clause subsumed by 496 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ouminus__class_Ouminus(A,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ouminus__class_Ouminus(A,B))).
% 0.21/0.49 Following clause subsumed by 507 during input processing: 0 [] {-} -class_Groups_Ouminus(A)|hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(B,A),C),D)=c_Groups_Ouminus__class_Ouminus(A,hAPP(C,D)).
% 0.21/0.49 Following clause subsumed by 508 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|c_Groups_Otimes__class_Otimes(A,B,B)=B.
% 0.36/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C)),c_Groups_Ouminus__class_Ouminus(A,B))).
% 0.36/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,E),F),D),C),B)=hAPP(F,B).
% 0.36/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,E),F),D),C),B)=hAPP(F,B).
% 0.36/0.53 Following clause subsumed by 539 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),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.36/0.53 Following clause subsumed by 550 during input processing: 0 [] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.36/0.53 Following clause subsumed by 557 during input processing: 0 [] {-} -class_Groups_Ominus(A)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,A),C,D),E)=c_Groups_Ominus__class_Ominus(A,hAPP(C,E),hAPP(D,E)).
% 0.36/0.53 Following clause subsumed by 566 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.36/0.53 Following clause subsumed by 565 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.36/0.53 Following clause subsumed by 565 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.36/0.53 Following clause subsumed by 566 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.36/0.53 Following clause subsumed by 567 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.36/0.53 36 back subsumes 23.
% 0.36/0.53 189 back subsumes 186.
% 0.36/0.53 337 back subsumes 336.
% 0.36/0.53 348 back subsumes 261.
% 0.36/0.53 412 back subsumes 410.
% 0.36/0.53 418 back subsumes 397.
% 0.36/0.53 419 back subsumes 398.
% 0.36/0.53 554 back subsumes 553.
% 0.36/0.53 598 back subsumes 594.
% 0.36/0.53 600 back subsumes 592.
% 0.36/0.53 603 back subsumes 602.
% 0.36/0.53 603 back subsumes 597.
% 0.36/0.53 660 back subsumes 655.
% 0.36/0.53 700 back subsumes 696.
% 0.36/0.53
% 0.36/0.53 ------------> process sos:
% 0.36/0.53 Following clause subsumed by 730 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)).
% 0.36/0.53 Following clause subsumed by 730 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)).
% 0.36/0.53 Following clause subsumed by 726 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)).
% 0.36/0.53 Following clause subsumed by 798 during input processing: 0 [demod,796] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 0.36/0.53 Following clause subsumed by 805 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 0.36/0.54 Following clause subsumed by 807 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A))).
% 0.36/0.54 Following clause subsumed by 813 during input processing: 0 [demod,771,774] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fFalse)),A)).
% 0.36/0.54 Following clause subsumed by 835 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Orestrict(A,D,E,C),B)=c_HOL_Oundefined(D).
% 0.36/0.54 Following clause subsumed by 836 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool),C)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.36/0.54 Following clause subsumed by 930 during input processing: 0 [copy,756,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.36/0.54 Following clause subsumed by 777 during input processing: 0 [copy,777,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,A).
% 0.36/0.54 Following clause subsumed by 930 during input processing: 0 [copy,784,flip.1] {-} c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fFalse)=c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fFalse).
% 0.36/0.54 Following clause subsumed by 787 during input processing: 0 [copy,787,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,A).
% 0.36/0.54 Following clause subsumed by 930 during input processing: 0 [copy,798,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 0.36/0.54 807 back subsumes 678.
% 0.36/0.54 814 back subsumes 710.
% 0.36/0.54 Following clause subsumed by 859 during input processing: 0 [copy,859,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),B).
% 0.36/0.54 Following clause subsumed by 930 during input processing: 0 [copy,930,flip.1] {-} A=A.
% 0.36/0.54 930 back subsumes 798.
% 0.36/0.54 930 back subsumes 784.
% 0.36/0.54 930 back subsumes 756.
% 0.36/0.54 930 back subsumes 717.
% 0.36/0.54 930 back subsumes 708.
% 0.36/0.54 930 back subsumes 707.
% 0.36/0.54 930 back subsumes 702.
% 0.36/0.54 930 back subsumes 697.
% 0.36/0.54 930 back subsumes 695.
% 0.36/0.54 930 back subsumes 692.
% 0.36/0.54 930 back subsumes 680.
% 0.36/0.54 930 back subsumes 679.
% 0.36/0.54 930 back subsumes 651.
% 0.36/0.54 930 back subsumes 637.
% 0.36/0.54 930 back subsumes 612.
% 0.36/0.54 930 back subsumes 609.
% 0.36/0.54 930 back subsumes 605.
% 0.36/0.54 930 back subsumes 600.
% 0.36/0.54 930 back subsumes 595.
% 0.36/0.54 930 back subsumes 593.
% 0.36/0.54 930 back subsumes 590.
% 0.36/0.54 930 back subsumes 589.
% 0.36/0.54 930 back subsumes 588.
% 0.36/0.54 930 back subsumes 587.
% 0.36/0.54 Following clause subsumed by 854 during input processing: 0 [copy,1005,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fFalse).
% 0.36/0.54 Following clause subsumed by 925 during input processing: 0 [copy,1006,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.36/0.54 Following clause subsumed by 926 during input processing: 0 [copy,1007,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.36/0.54
% 0.36/0.54 ======= end of input processing =======
% 0.38/0.55
% 0.38/0.55 SEGMENTATION FAULT!! This is probably caused by a
% 0.38/0.55 bug in Otter. Please send copy of the input file to
% 0.38/0.55 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.38/0.55 using, and send any other info that might be useful.
% 0.38/0.55
% 0.38/0.55
% 0.38/0.55 SEGMENTATION FAULT!! This is probably caused by a
% 0.38/0.55 bug in Otter. Please send copy of the input file to
% 0.38/0.55 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.38/0.55 using, and send any other info that might be useful.
% 0.38/0.55
% 0.38/0.55
% 0.38/0.55 The job finished Sat Jul 2 04:05:15 2022
%------------------------------------------------------------------------------