%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW230+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 : Thu Jul 21 01:26:23 EDT 2022
% Result : Unknown 0.45s 0.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW230+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 20:26:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 ----- Otter 3.2, August 2001 -----
% 0.20/0.51 The process was started by sandbox on n018.cluster.edu,
% 0.20/0.51 Sat Jun 4 20:26:03 2022
% 0.20/0.51 The command was "./sos". The process ID is 19963.
% 0.20/0.51
% 0.20/0.51 set(prolog_style_variables).
% 0.20/0.51 set(auto).
% 0.20/0.51 dependent: set(auto1).
% 0.20/0.51 dependent: set(process_input).
% 0.20/0.51 dependent: clear(print_kept).
% 0.20/0.51 dependent: clear(print_new_demod).
% 0.20/0.51 dependent: clear(print_back_demod).
% 0.20/0.51 dependent: clear(print_back_sub).
% 0.20/0.51 dependent: set(control_memory).
% 0.20/0.51 dependent: assign(max_mem, 12000).
% 0.20/0.51 dependent: assign(pick_given_ratio, 4).
% 0.20/0.51 dependent: assign(stats_level, 1).
% 0.20/0.51 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.51 dependent: assign(sos_limit, 5000).
% 0.20/0.51 dependent: assign(max_weight, 60).
% 0.20/0.51 clear(print_given).
% 0.20/0.51
% 0.20/0.51 formula_list(usable).
% 0.20/0.51
% 0.20/0.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.20/0.51
% 0.20/0.51 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.51 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.51 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.51 clauses in usable.
% 0.20/0.51
% 0.20/0.51 dependent: set(knuth_bendix).
% 0.20/0.51 dependent: set(para_from).
% 0.20/0.51 dependent: set(para_into).
% 0.20/0.51 dependent: clear(para_from_right).
% 0.20/0.51 dependent: clear(para_into_right).
% 0.20/0.51 dependent: set(para_from_vars).
% 0.20/0.51 dependent: set(eq_units_both_ways).
% 0.20/0.51 dependent: set(dynamic_demod_all).
% 0.20/0.51 dependent: set(dynamic_demod).
% 0.20/0.51 dependent: set(order_eq).
% 0.20/0.51 dependent: set(back_demod).
% 0.20/0.51 dependent: set(lrpo).
% 0.20/0.51 dependent: set(hyper_res).
% 0.20/0.51 dependent: set(unit_deletion).
% 0.20/0.51 dependent: set(factor).
% 0.20/0.51
% 0.20/0.51 ------------> process usable:
% 0.20/0.51 Following clause subsumed by 34 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,C))=c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.20/0.51 Following clause subsumed by 38 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.20/0.51 Following clause subsumed by 42 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,B))=c_Groups_Ouminus__class_Ouminus(A,c_Int_Onumber__class_Onumber__of(A,B)).
% 0.20/0.51 Following clause subsumed by 43 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.20/0.51 Following clause subsumed by 64 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -class_Int_Onumber__ring(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,c_Int_OBit1(c_Int_OPls)))=B.
% 0.20/0.51 Following clause subsumed by 65 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,A,v_z____)))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,A,v_z____)),v_d____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,A),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))).
% 0.20/0.51 Following clause subsumed by 100 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 101 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 102 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 103 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 104 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 105 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 107 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 108 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 109 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 110 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 111 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 112 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 145 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 146 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 153 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 154 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.20/0.52 Following clause subsumed by 176 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,A)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,A).
% 0.20/0.52 Following clause subsumed by 297 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber__ring(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))).
% 0.20/0.52 Following clause subsumed by 300 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A=B.
% 0.20/0.52 Following clause subsumed by 298 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.20/0.52 Following clause subsumed by 383 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)),B).
% 0.20/0.52 Following clause subsumed by 410 during input processing: 0 [] {-} c_Nat_OSuc(A)!=A.
% 0.20/0.52 Following clause subsumed by 411 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.20/0.52 Following clause subsumed by 413 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.20/0.52 Following clause subsumed by 415 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.20/0.52 Following clause subsumed by 414 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.20/0.52 Following clause subsumed by 430 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.52 Following clause subsumed by 430 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.52 Following clause subsumed by 430 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.52 Following clause subsumed by 430 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.52 Following clause subsumed by 430 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.52 Following clause subsumed by 407 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.20/0.52 Following clause subsumed by 415 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.20/0.52 Following clause subsumed by 407 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.20/0.52 Following clause subsumed by 438 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=B.
% 0.20/0.52 Following clause subsumed by 436 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 408 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 438 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.20/0.52 Following clause subsumed by 441 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 422 during input processing: 0 [] {-} 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).
% 0.20/0.52 Following clause subsumed by 422 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=c_Nat_OSuc(B).
% 0.20/0.52 Following clause subsumed by 450 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.20/0.52 Following clause subsumed by 449 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=c_Nat_OSuc(B).
% 0.20/0.52 Following clause subsumed by 414 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.20/0.52 Following clause subsumed by 476 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.20/0.52 Following clause subsumed by 475 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 422 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A!=B.
% 0.20/0.52 Following clause subsumed by 475 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 476 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 475 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 422 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 468 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C)|B!=C.
% 0.20/0.52 Following clause subsumed by 479 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.20/0.52 Following clause subsumed by 480 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.20/0.52 Following clause subsumed by 389 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 0.20/0.52 Following clause subsumed by 162 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Groups_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(A,c_Int_OPls).
% 0.20/0.52 Following clause subsumed by 509 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.52 Following clause subsumed by 459 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.20/0.52 Following clause subsumed by 458 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.20/0.52 Following clause subsumed by 444 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A))|B!=A.
% 0.20/0.52 Following clause subsumed by 534 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 536 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 537 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 536 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 0.20/0.52 Following clause subsumed by 534 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 0.20/0.52 Following clause subsumed by 547 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|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)).
% 0.20/0.52 Following clause subsumed by 544 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|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)).
% 0.20/0.52 Following clause subsumed by 543 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.20/0.52 Following clause subsumed by 552 during input processing: 0 [] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.52 Following clause subsumed by 492 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.20/0.52 Following clause subsumed by 559 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.20/0.52 Following clause subsumed by 562 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 0.20/0.52 Following clause subsumed by 564 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 0.20/0.52 Following clause subsumed by 594 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 0.20/0.52 Following clause subsumed by 492 during input processing: 0 [] {-} 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))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.20/0.52 Following clause subsumed by 491 during input processing: 0 [] {-} 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))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.20/0.52 Following clause subsumed by 604 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.20/0.52 Following clause subsumed by 605 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 0.20/0.52 Following clause subsumed by 465 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.52 Following clause subsumed by 594 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A))|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A).
% 0.20/0.52 Following clause subsumed by 634 during input processing: 0 [] {-} -class_Rings_Odivision__ring__inverse__zero(A)|c_Rings_Oinverse__class_Oinverse(A,B)!=c_Rings_Oinverse__class_Oinverse(A,C)|B=C.
% 0.20/0.52 Following clause subsumed by 638 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.52 Following clause subsumed by 640 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.52 Following clause subsumed by 644 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|c_Groups_Otimes__class_Otimes(A,B,C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.52 Following clause subsumed by 645 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.20/0.52 Following clause subsumed by 646 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D)).
% 0.20/0.52 Following clause subsumed by 648 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,D),c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.20/0.52 Following clause subsumed by 651 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D)).
% 0.20/0.52 Following clause subsumed by 652 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Ominus__class_Ominus(A,B,C),D)=c_Groups_Ominus__class_Ominus(A,c_Groups_Otimes__class_Otimes(A,B,D),c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.20/0.52 Following clause subsumed by 656 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Ouminus__class_Ouminus(A,c_Groups_Otimes__class_Otimes(A,B,C))=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ouminus__class_Ouminus(A,C)).
% 0.20/0.52 Following clause subsumed by 658 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Ouminus__class_Ouminus(A,c_Groups_Otimes__class_Otimes(A,B,C))=c_Groups_Otimes__class_Otimes(A,c_Groups_Ouminus__class_Ouminus(A,B),C).
% 0.20/0.52 Following clause subsumed by 679 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|c_Rings_Oinverse__class_Oinverse(A,B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.52 Following clause subsumed by 706 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.20/0.52 Following clause subsumed by 707 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Otimes__class_Otimes(A,B,C)).
% 0.20/0.52 Following clause subsumed by 705 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.20/0.52 Following clause subsumed by 706 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.20/0.52 Following clause subsumed by 716 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.20/0.53 Following clause subsumed by 722 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,C,B),c_Groups_Ozero__class_Ozero(A)).
% 0.20/0.53 Following clause subsumed by 729 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.20/0.53 Following clause subsumed by 716 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.20/0.53 Following clause subsumed by 717 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,B).
% 0.20/0.53 Following clause subsumed by 758 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Otimes__class_Otimes(A,D,B)|c_Rings_Oinverse__class_Odivide(A,C,B)=D.
% 0.20/0.53 Following clause subsumed by 756 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Groups_Otimes__class_Otimes(A,C,B)!=D|C=c_Rings_Oinverse__class_Odivide(A,D,B).
% 0.20/0.53 Following clause subsumed by 784 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Oinverse(A,B)=c_Rings_Oinverse__class_Odivide(A,c_Groups_Oone__class_Oone(A),B).
% 0.20/0.53 Following clause subsumed by 467 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.
% 0.20/0.53 Following clause subsumed by 469 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).
% 0.20/0.53 Following clause subsumed by 468 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.
% 0.20/0.53 Following clause subsumed by 468 during input processing: 0 [] {-} -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.
% 0.20/0.53 Following clause subsumed by 543 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -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))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.20/0.53 Following clause subsumed by 544 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|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))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.20/0.53 Following clause subsumed by 602 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -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))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.20/0.53 Following clause subsumed by 492 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|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))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.20/0.53 Following clause subsumed by 977 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Otimes__class_Otimes(A,D,B))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 0.20/0.53 Following clause subsumed by 975 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,C,B),D)|c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 0.20/0.53 Following clause subsumed by 1041 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Otimes__class_Otimes(A,D,B))|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 0.20/0.53 Following clause subsumed by 1039 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,C,B),D)|c_Orderings_Oord__class_Oless__eq(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 0.20/0.53 Following clause subsumed by 1055 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 0.20/0.53 Following clause subsumed by 1057 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 0.20/0.53 Following clause subsumed by 1067 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.
% 0.20/0.53 Following clause subsumed by 1068 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).
% 0.20/0.53 Following clause subsumed by 1077 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.20/0.53 Following clause subsumed by 1078 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.20/0.53 Following clause subsumed by 1084 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.20/0.53 Following clause subsumed by 1085 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.20/0.53 Following clause subsumed by 1101 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).
% 0.20/0.53 Following clause subsumed by 1102 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).
% 0.20/0.53 Following clause subsumed by 1112 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.20/0.55 Following clause subsumed by 1114 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.20/0.55 Following clause subsumed by 1115 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.20/0.55 Following clause subsumed by 1120 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.20/0.55 Following clause subsumed by 1121 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.20/0.55 Following clause subsumed by 1137 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.20/0.55 Following clause subsumed by 1130 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B),C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.20/0.55 Following clause subsumed by 1195 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C).
% 0.20/0.55 Following clause subsumed by 1196 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B),C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C).
% 0.20/0.55 Following clause subsumed by 1200 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.20/0.55 Following clause subsumed by 1201 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.20/0.55 Following clause subsumed by 1216 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)).
% 0.20/0.55 Following clause subsumed by 1216 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))).
% 0.20/0.55 Following clause subsumed by 1214 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)).
% 0.20/0.55 Following clause subsumed by 45 during input processing: 0 [copy,44,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.20/0.55 Following clause subsumed by 44 during input processing: 0 [copy,45,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.20/0.55 69 back subsumes 66.
% 0.20/0.55 444 back subsumes 443.
% 0.20/0.55 500 back subsumes 495.
% 0.20/0.55 784 back subsumes 314.
% 0.20/0.55 913 back subsumes 193.
% 0.20/0.55 913 back subsumes 188.
% 0.20/0.55 914 back subsumes 194.
% 0.20/0.55 914 back subsumes 189.
% 0.20/0.55 915 back subsumes 195.
% 0.20/0.55 915 back subsumes 190.
% 0.20/0.58 916 back subsumes 196.
% 0.20/0.58 916 back subsumes 191.
% 0.20/0.58 917 back subsumes 197.
% 0.20/0.58 917 back subsumes 192.
% 0.20/0.58 918 back subsumes 203.
% 0.20/0.58 918 back subsumes 198.
% 0.20/0.58 919 back subsumes 204.
% 0.20/0.58 919 back subsumes 199.
% 0.20/0.58 920 back subsumes 205.
% 0.20/0.58 920 back subsumes 200.
% 0.20/0.58 921 back subsumes 206.
% 0.20/0.58 921 back subsumes 201.
% 0.20/0.58 922 back subsumes 207.
% 0.20/0.58 922 back subsumes 202.
% 0.20/0.58 954 back subsumes 223.
% 0.20/0.58 954 back subsumes 213.
% 0.20/0.58 955 back subsumes 224.
% 0.20/0.58 955 back subsumes 214.
% 0.20/0.58 956 back subsumes 225.
% 0.20/0.58 956 back subsumes 215.
% 0.20/0.58 957 back subsumes 226.
% 0.20/0.58 957 back subsumes 216.
% 0.20/0.58 958 back subsumes 227.
% 0.20/0.58 958 back subsumes 217.
% 0.20/0.58 959 back subsumes 228.
% 0.20/0.58 959 back subsumes 218.
% 0.20/0.58 960 back subsumes 229.
% 0.20/0.58 960 back subsumes 219.
% 0.20/0.58 961 back subsumes 230.
% 0.20/0.58 961 back subsumes 220.
% 0.20/0.58 962 back subsumes 231.
% 0.20/0.58 962 back subsumes 221.
% 0.20/0.58 963 back subsumes 232.
% 0.20/0.58 963 back subsumes 222.
% 0.20/0.58 964 back subsumes 243.
% 0.20/0.58 964 back subsumes 233.
% 0.20/0.58 965 back subsumes 244.
% 0.20/0.58 965 back subsumes 234.
% 0.20/0.58 966 back subsumes 245.
% 0.20/0.58 966 back subsumes 235.
% 0.20/0.58 967 back subsumes 246.
% 0.20/0.58 967 back subsumes 236.
% 0.20/0.58 968 back subsumes 247.
% 0.20/0.58 968 back subsumes 237.
% 0.20/0.58 969 back subsumes 248.
% 0.20/0.58 969 back subsumes 238.
% 0.20/0.58 970 back subsumes 249.
% 0.20/0.58 970 back subsumes 239.
% 0.20/0.58 971 back subsumes 250.
% 0.20/0.58 971 back subsumes 240.
% 0.20/0.58 972 back subsumes 251.
% 0.20/0.58 972 back subsumes 241.
% 0.20/0.58 973 back subsumes 252.
% 0.20/0.58 973 back subsumes 242.
% 0.20/0.58 1018 back subsumes 266.
% 0.20/0.58 1018 back subsumes 256.
% 0.20/0.58 1019 back subsumes 267.
% 0.20/0.58 1019 back subsumes 257.
% 0.20/0.58 1020 back subsumes 268.
% 0.20/0.58 1020 back subsumes 258.
% 0.20/0.58 1021 back subsumes 269.
% 0.20/0.58 1021 back subsumes 259.
% 0.20/0.58 1022 back subsumes 270.
% 0.20/0.58 1022 back subsumes 260.
% 0.20/0.58 1023 back subsumes 271.
% 0.20/0.58 1023 back subsumes 261.
% 0.20/0.58 1024 back subsumes 272.
% 0.20/0.58 1024 back subsumes 262.
% 0.20/0.58 1025 back subsumes 273.
% 0.20/0.58 1025 back subsumes 263.
% 0.20/0.58 1026 back subsumes 274.
% 0.20/0.58 1026 back subsumes 264.
% 0.20/0.58 1027 back subsumes 275.
% 0.20/0.58 1027 back subsumes 265.
% 0.20/0.58 1028 back subsumes 286.
% 0.20/0.58 1028 back subsumes 276.
% 0.20/0.58 1029 back subsumes 287.
% 0.20/0.58 1029 back subsumes 277.
% 0.20/0.58 1030 back subsumes 288.
% 0.20/0.58 1030 back subsumes 278.
% 0.20/0.58 1031 back subsumes 289.
% 0.20/0.58 1031 back subsumes 279.
% 0.20/0.58 1032 back subsumes 290.
% 0.20/0.58 1032 back subsumes 280.
% 0.20/0.58 1033 back subsumes 291.
% 0.20/0.58 1033 back subsumes 281.
% 0.20/0.58 1034 back subsumes 292.
% 0.20/0.58 1034 back subsumes 282.
% 0.20/0.58 1035 back subsumes 293.
% 0.20/0.58 1035 back subsumes 283.
% 0.20/0.58 1036 back subsumes 294.
% 0.20/0.58 1036 back subsumes 284.
% 0.20/0.58 1037 back subsumes 295.
% 0.20/0.58 1037 back subsumes 285.
% 0.20/0.58 Following clause subsumed by 368 during input processing: 0 [copy,1241,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.20/0.58 1309 back subsumes 1306.
% 0.20/0.58 1342 back subsumes 1339.
% 0.20/0.58
% 0.20/0.58 ------------> process sos:
% 0.20/0.58 Following clause subsumed by 1462 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))).
% 0.20/0.58 Following clause subsumed by 1532 during input processing: 0 [demod,1485,1523,1529,1485,1529] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),A)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),A).
% 0.20/0.58 Following clause subsumed by 1516 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.20/0.58 Following clause subsumed by 1532 during input processing: 0 [demod,1485,1485,1563,1478] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)).
% 0.20/0.58 Following clause subsumed by 1572 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,A)=A.
% 0.20/0.58 Following clause subsumed by 1515 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))).
% 0.20/0.58 Following clause subsumed by 1573 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 0.20/0.58 Following clause subsumed by 1501 during input processing: 0 [demod,1619] {-} c_Int_OPls=c_Int_OPls.
% 0.20/0.58 Following clause subsumed by 1621 during input processing: 0 [demod,1619,1480] {-} A=A.
% 0.20/0.58 Following clause subsumed by 1621 during input processing: 0 [demod,1619,1565,1619] {-} c_Int_OPls=c_Int_OPls.
% 0.20/0.58 Following clause subsumed by 1622 during input processing: 0 [] {-} c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,B)).
% 0.20/0.58 Following clause subsumed by 1621 during input processing: 0 [demod,1654,1478,1478,1609] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.20/0.58 Following clause subsumed by 1664 during input processing: 0 [] {-} A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.20/0.58 Following clause subsumed by 1664 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.20/0.58 Following clause subsumed by 1682 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.20/0.58 Following clause subsumed by 1663 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.20/0.58 Following clause subsumed by 1668 during input processing: 0 [demod,1695] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),A).
% 0.20/0.58 Following clause subsumed by 1621 during input processing: 0 [demod,1741] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.20/0.58 Following clause subsumed by 1621 during input processing: 0 [demod,1744,1654,1478,1478] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 0.20/0.58 Following clause subsumed by 1516 during input processing: 0 [demod,1619,1609] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.20/0.58 Following clause subsumed by 1621 during input processing: 0 [demod,1654,1478,1478,1485,1782,1741,1695,1744,1777,1695,1744] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 0.20/0.58 Following clause subsumed by 1621 during input processing: 0 [demod,1741,1695,1744,1777,1695,1744,1654,1478,1478,1485,1782] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 0.43/0.61 Following clause subsumed by 1621 during input processing: 0 [demod,1654,1478,1478,1485,1782,1695,1744,1695,1744,1666] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.43/0.61 Following clause subsumed by 1516 during input processing: 0 [demod,1619,1619] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.43/0.61 Following clause subsumed by 1621 during input processing: 0 [demod,1721,1666] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B),D))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B),D)).
% 0.43/0.61 Following clause subsumed by 1621 during input processing: 0 [] {-} A=A.
% 0.43/0.61 1475 back subsumes 312.
% 0.43/0.61 Following clause subsumed by 1621 during input processing: 0 [copy,1501,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 0.43/0.61 Following clause subsumed by 1524 during input processing: 0 [copy,1524,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.43/0.61 Following clause subsumed by 1525 during input processing: 0 [copy,1525,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,A).
% 0.43/0.61 Following clause subsumed by 1621 during input processing: 0 [copy,1532,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.43/0.61 Following clause subsumed by 1533 during input processing: 0 [copy,1533,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C)).
% 0.43/0.61 1558 back subsumes 1513.
% 0.43/0.61 1573 back subsumes 1231.
% 0.43/0.61 Following clause subsumed by 1575 during input processing: 0 [copy,1575,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,B)=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,B,A).
% 0.43/0.61 Following clause subsumed by 1621 during input processing: 0 [copy,1591,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B).
% 0.43/0.61 Following clause subsumed by 1593 during input processing: 0 [copy,1593,flip.1] {-} c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,B,A)).
% 0.43/0.61 Following clause subsumed by 1621 during input processing: 0 [copy,1621,flip.1] {-} A=A.
% 0.43/0.61 1621 back subsumes 1591.
% 0.43/0.61 1621 back subsumes 1532.
% 0.43/0.61 1621 back subsumes 1501.
% 0.43/0.61 1621 back subsumes 1334.
% 0.43/0.61 1621 back subsumes 1287.
% 0.43/0.61 1621 back subsumes 1286.
% 0.43/0.61 1621 back subsumes 1285.
% 0.43/0.61 1621 back subsumes 1282.
% 0.43/0.61 1621 back subsumes 1260.
% 0.43/0.61 1621 back subsumes 1259.
% 0.43/0.61 1621 back subsumes 1253.
% 0.43/0.61 1621 back subsumes 1245.
% 0.43/0.61 1621 back subsumes 1237.
% 0.43/0.61 1621 back subsumes 1225.
% 0.43/0.61 Following clause subsumed by 1667 during input processing: 0 [copy,1667,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.43/0.61 Following clause subsumed by 1668 during input processing: 0 [copy,1668,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.43/0.61 1669 back subsumes 1257.
% 0.43/0.61 Following clause subsumed by 1671 during input processing: 0 [copy,1671,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,A).
% 0.45/0.62 Following clause subsumed by 1678 during input processing: 0 [copy,1678,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).
% 0.45/0.62 Following clause subsumed by 2040 during input processing: 0 [copy,2039,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B).
% 0.45/0.62 Following clause subsumed by 2039 during input processing: 0 [copy,2040,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)).
% 0.45/0.62 Following clause subsumed by 2055 during input processing: 0 [copy,2048,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))).
% 0.45/0.62 Following clause subsumed by 1502 during input processing: 0 [copy,2049,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,B),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,C),hAPP(A,B)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,C,B)),B))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,C),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,C),hAPP(A,B)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,C,B)),C)).
% 0.45/0.62 Following clause subsumed by 2048 during input processing: 0 [copy,2055,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))).
% 0.45/0.62 Following clause subsumed by 1622 during input processing: 0 [copy,2101,flip.1] {-} c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,B)).
% 0.45/0.62 2109 back subsumes 2105.
% 0.45/0.62 Following clause subsumed by 2194 during input processing: 0 [copy,2193,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_RealDef_Oreal(tc_Nat_Onat,A)).
% 0.45/0.63 Following clause subsumed by 2193 during input processing: 0 [copy,2194,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_RealDef_Oreal(tc_Nat_Onat,A))=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))).
% 0.45/0.63 Following clause subsumed by 2278 during input processing: 0 [copy,2275,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.45/0.63 Following clause subsumed by 2275 during input processing: 0 [copy,2278,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)).
% 0.45/0.63 2281 back subsumes 1798.
% 0.45/0.63 Following clause subsumed by 2339 during input processing: 0 [copy,2318,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.45/0.63 Following clause subsumed by 2401 during input processing: 0 [copy,2319,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B).
% 0.45/0.63 Following clause subsumed by 1730 during input processing: 0 [copy,2320,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,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.45/0.63 Following clause subsumed by 2318 during input processing: 0 [copy,2339,flip.1] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A).
% 0.45/0.63 Following clause subsumed by 2319 during input processing: 0 [copy,2401,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.45/0.63 Following clause subsumed by 1750 during input processing: 0 [copy,2417,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.45/0.63 Following clause subsumed by 2423 during input processing: 0 [copy,2418,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))).
% 0.45/0.63 Following clause subsumed by 1786 during input processing: 0 [copy,2420,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.45/0.63 Following clause subsumed by 1991 during input processing: 0 [copy,2421,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))).
% 0.45/0.63 Following clause subsumed by 2201 during input processing: 0 [copy,2422,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))).
% 0.45/0.63 Following clause subsumed by 2418 during input processing: 0 [copy,2423,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 0.45/0.63
% 0.45/0.63 ======= end of input processing =======
% 0.45/0.63
% 0.45/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.63 bug in Otter. Please send copy of the input file to
% 0.45/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.63 using, and send any other info that might be useful.
% 0.45/0.63
% 0.45/0.63
% 0.45/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.63 bug in Otter. Please send copy of the input file to
% 0.45/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.63 using, and send any other info that might be useful.
% 0.45/0.63
% 0.45/0.63
% 0.45/0.63 The job finished Sat Jun 4 20:26:03 2022
%------------------------------------------------------------------------------