TSTP Solution File: ALG366-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG366-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 14 18:01:45 EDT 2022
% Result : Unknown 0.68s 0.87s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG366-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n028.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 : Wed Jun 8 13:29:01 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 ----- Otter 3.2, August 2001 -----
% 0.19/0.45 The process was started by sandbox2 on n028.cluster.edu,
% 0.19/0.45 Wed Jun 8 13:29:01 2022
% 0.19/0.45 The command was "./sos". The process ID is 28829.
% 0.19/0.45
% 0.19/0.45 set(prolog_style_variables).
% 0.19/0.45 set(auto).
% 0.19/0.45 dependent: set(auto1).
% 0.19/0.45 dependent: set(process_input).
% 0.19/0.45 dependent: clear(print_kept).
% 0.19/0.45 dependent: clear(print_new_demod).
% 0.19/0.45 dependent: clear(print_back_demod).
% 0.19/0.45 dependent: clear(print_back_sub).
% 0.19/0.45 dependent: set(control_memory).
% 0.19/0.45 dependent: assign(max_mem, 12000).
% 0.19/0.45 dependent: assign(pick_given_ratio, 4).
% 0.19/0.45 dependent: assign(stats_level, 1).
% 0.19/0.45 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.45 dependent: assign(sos_limit, 5000).
% 0.19/0.45 dependent: assign(max_weight, 60).
% 0.19/0.45 clear(print_given).
% 0.19/0.45
% 0.19/0.45 list(usable).
% 0.19/0.45
% 0.19/0.45 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.45
% 0.19/0.45 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.45 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.45 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.45 clauses in usable.
% 0.19/0.45
% 0.19/0.45 dependent: set(knuth_bendix).
% 0.19/0.45 dependent: set(para_from).
% 0.19/0.45 dependent: set(para_into).
% 0.19/0.45 dependent: clear(para_from_right).
% 0.19/0.45 dependent: clear(para_into_right).
% 0.19/0.45 dependent: set(para_from_vars).
% 0.19/0.45 dependent: set(eq_units_both_ways).
% 0.19/0.45 dependent: set(dynamic_demod_all).
% 0.19/0.45 dependent: set(dynamic_demod).
% 0.19/0.45 dependent: set(order_eq).
% 0.19/0.45 dependent: set(back_demod).
% 0.19/0.45 dependent: set(lrpo).
% 0.19/0.45 dependent: set(hyper_res).
% 0.19/0.45 dependent: set(unit_deletion).
% 0.19/0.45 dependent: set(factor).
% 0.19/0.45
% 0.19/0.45 ------------> process usable:
% 0.19/0.45 Following clause subsumed by 1 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.45 Following clause subsumed by 1 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.45 Following clause subsumed by 22 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.45 Following clause subsumed by 40 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.45 Following clause subsumed by 93 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.45 Following clause subsumed by 97 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)| -c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 0.19/0.45 Following clause subsumed by 124 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.45 Following clause subsumed by 132 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.45 Following clause subsumed by 132 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.46 Following clause subsumed by 136 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.46 Following clause subsumed by 137 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.46 Following clause subsumed by 175 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.19/0.46 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.19/0.46 Following clause subsumed by 189 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.46 Following clause subsumed by 189 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.46 Following clause subsumed by 212 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ouminus__class_Ouminus(B,A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.46 Following clause subsumed by 237 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ouminus__class_Ouminus(B,A)),C)=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A).
% 0.19/0.46 Following clause subsumed by 238 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A).
% 0.19/0.46 Following clause subsumed by 250 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.19/0.46 Following clause subsumed by 258 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lessequals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(B,C,A).
% 0.19/0.46 Following clause subsumed by 267 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.46 Following clause subsumed by 268 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.46 Following clause subsumed by 268 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.46 Following clause subsumed by 273 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(A),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal).
% 0.19/0.46 Following clause subsumed by 228 during input processing: 0 [] {-} -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_Transcendental_Oexp(A),B)),hAPP(c_Transcendental_Oexp(A),C))=hAPP(c_Transcendental_Oexp(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)).
% 0.19/0.46 Following clause subsumed by 163 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.19/0.46 Following clause subsumed by 309 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.19/0.46 Following clause subsumed by 315 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_RealDef_Oreal),B),C),A)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),c_RealVector_Oof__real(B,A)),c_RealVector_Oof__real(C,A)).
% 0.19/0.46 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 0.19/0.46 Following clause subsumed by 321 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.19/0.46 Following clause subsumed by 322 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.46 Following clause subsumed by 321 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.46 Following clause subsumed by 338 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.19/0.46 Following clause subsumed by 341 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.46 Following clause subsumed by 341 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.46 Following clause subsumed by 341 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.46 Following clause subsumed by 345 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.46 Following clause subsumed by 346 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lessequals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.46 Following clause subsumed by 365 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.19/0.46 Following clause subsumed by 366 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.19/0.47 Following clause subsumed by 367 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 367 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 367 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 371 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.47 Following clause subsumed by 371 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.47 Following clause subsumed by 371 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.47 Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.47 Following clause subsumed by 374 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.47 Following clause subsumed by 375 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.47 Following clause subsumed by 387 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 395 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)).
% 0.19/0.47 Following clause subsumed by 400 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.19/0.47 Following clause subsumed by 404 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 405 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 402 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 421 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),B),C),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_RealVector_Oof__real(B,A)),c_RealVector_Oof__real(C,A)).
% 0.19/0.47 Following clause subsumed by 425 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 472 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.47 Following clause subsumed by 511 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Complex_Ocomplex_Ocomplex__case(B,c_Complex_Ocomplex_OComplex(C,D),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(B,C),D))).
% 0.19/0.48 Following clause subsumed by 520 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.48 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.48 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.48 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.19/0.48 132 back subsumes 17.
% 0.19/0.48 133 back subsumes 16.
% 0.19/0.48 292 back subsumes 282.
% 0.19/0.48 373 back subsumes 372.
% 0.19/0.48 589 back subsumes 588.
% 0.19/0.48
% 0.19/0.48 ------------> process sos:
% 0.19/0.48 Following clause subsumed by 662 during input processing: 0 [demod,660] {-} C=C.
% 0.19/0.48 Following clause subsumed by 662 during input processing: 0 [demod,658] {-} A=A.
% 0.19/0.48 Following clause subsumed by 723 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.19/0.48 Following clause subsumed by 727 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.19/0.48 Following clause subsumed by 662 during input processing: 0 [demod,780] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.19/0.48 Following clause subsumed by 662 during input processing: 0 [] {-} A=A.
% 0.19/0.48 Following clause subsumed by 662 during input processing: 0 [copy,662,flip.1] {-} A=A.
% 0.19/0.48 662 back subsumes 645.
% 0.19/0.48 662 back subsumes 644.
% 0.19/0.48 662 back subsumes 547.
% 0.19/0.48 662 back subsumes 546.
% 0.19/0.48 662 back subsumes 545.
% 0.19/0.48 662 back subsumes 544.
% 0.19/0.48 662 back subsumes 543.
% 0.19/0.48 Following clause subsumed by 671 during input processing: 0 [copy,671,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),A).
% 0.19/0.48 Following clause subsumed by 672 during input processing: 0 [copy,672,flip.1] {-} c_Fun_Oswap(A,B,C,D,E)=c_Fun_Oswap(B,A,C,D,E).
% 0.19/0.48 Following clause subsumed by 696 during input processing: 0 [copy,675,flip.1] {-} c_Complex_Ocomplex_OComplex(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_RealVector_Oof__real(A,tc_Complex_Ocomplex).
% 0.19/0.48 Following clause subsumed by 675 during input processing: 0 [copy,696,flip.1] {-} c_RealVector_Oof__real(A,tc_Complex_Ocomplex)=c_Complex_Ocomplex_OComplex(A,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 0.19/0.48 Following clause subsumed by 656 during input processing: 0 [copy,892,flip.1] {-} c_Fun_Oswap(A,B,C,D,E)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(C,A,hAPP(C,B),D,E),B,hAPP(C,A),D,E).
% 0.19/0.48 Following clause subsumed by 667 during input processing: 0 [copy,893,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)).
% 0.19/0.48 Following clause subsumed by 669 during input processing: 0 [copy,894,flip.1] {-} c_Complex_OIm(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_Complex_Ocomplex),A),B))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_RealDef_Oreal),c_Complex_OIm(A)),c_Complex_OIm(B)).
% 0.19/0.48 Following clause subsumed by 687 during input processing: 0 [copy,895,flip.1] {-} c_Complex_OIm(c_RealVector_Oof__real(A,tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal).
% 0.19/0.48 Following clause subsumed by 707 during input processing: 0 [copy,896,flip.1] {-} c_Complex_ORe(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_Complex_Ocomplex),A),B))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_RealDef_Oreal),c_Complex_ORe(A)),c_Complex_ORe(B)).
% 0.19/0.48 Following clause subsumed by 760 during input processing: 0 [copy,898,flip.1] {-} c_Complex_Ocomplex_Ocomplex__case(A,c_Complex_Ocomplex_OComplex(B,C),D)=hAPP(hAPP(A,B),C).
% 0.19/0.48 Following clause subsumed by 763 during input processing: 0 [copy,899,flip.1] {-} c_Complex_Ocomplex_Ocomplex__rec(A,c_Complex_Ocomplex_OComplex(B,C),D)=hAPP(hAPP(A,B),C).
% 0.19/0.48 Following clause subsumed by 772 during input processing: 0 [copy,900,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,B)),c_Complex_Ocomplex_OComplex(C,D))=c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_RealDef_Oreal),A),C),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_RealDef_Oreal),B),D)).
% 0.19/0.48 Following clause subsumed by 773 during input processing: 0 [copy,901,flip.1] {-} hAPP(hAPP(c_RealVector_Odist__class_Odist(tc_Complex_Ocomplex),A),B)=hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_Complex_Ocomplex),A),B)).
% 0.19/0.48
% 0.19/0.48 ======= end of input processing =======
% 0.68/0.86
% 0.68/0.86
% 0.68/0.86
% 0.68/0.86 Aborting on detection of an error:
% 0.68/0.86
% 0.68/0.86 Too many clauses (whew!).
% 0.68/0.86
%------------------------------------------------------------------------------