TSTP Solution File: SWV823-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV823-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 : Wed Jul 20 21:40:21 EDT 2022
% Result : Unknown 0.36s 0.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV823-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 00:11:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 ----- Otter 3.2, August 2001 -----
% 0.20/0.48 The process was started by sandbox on n017.cluster.edu,
% 0.20/0.48 Wed Jun 15 00:11:24 2022
% 0.20/0.48 The command was "./sos". The process ID is 7152.
% 0.20/0.48
% 0.20/0.48 set(prolog_style_variables).
% 0.20/0.48 set(auto).
% 0.20/0.48 dependent: set(auto1).
% 0.20/0.48 dependent: set(process_input).
% 0.20/0.48 dependent: clear(print_kept).
% 0.20/0.48 dependent: clear(print_new_demod).
% 0.20/0.48 dependent: clear(print_back_demod).
% 0.20/0.48 dependent: clear(print_back_sub).
% 0.20/0.48 dependent: set(control_memory).
% 0.20/0.48 dependent: assign(max_mem, 12000).
% 0.20/0.48 dependent: assign(pick_given_ratio, 4).
% 0.20/0.48 dependent: assign(stats_level, 1).
% 0.20/0.48 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.48 dependent: assign(sos_limit, 5000).
% 0.20/0.48 dependent: assign(max_weight, 60).
% 0.20/0.48 clear(print_given).
% 0.20/0.48
% 0.20/0.48 list(usable).
% 0.20/0.48
% 0.20/0.48 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.20/0.48
% 0.20/0.48 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.48 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.48 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.48 clauses in usable.
% 0.20/0.48
% 0.20/0.48 dependent: set(knuth_bendix).
% 0.20/0.48 dependent: set(para_from).
% 0.20/0.48 dependent: set(para_into).
% 0.20/0.48 dependent: clear(para_from_right).
% 0.20/0.48 dependent: clear(para_into_right).
% 0.20/0.48 dependent: set(para_from_vars).
% 0.20/0.48 dependent: set(eq_units_both_ways).
% 0.20/0.48 dependent: set(dynamic_demod_all).
% 0.20/0.48 dependent: set(dynamic_demod).
% 0.20/0.48 dependent: set(order_eq).
% 0.20/0.48 dependent: set(back_demod).
% 0.20/0.48 dependent: set(lrpo).
% 0.20/0.48 dependent: set(hyper_res).
% 0.20/0.48 dependent: set(unit_deletion).
% 0.20/0.48 dependent: set(factor).
% 0.20/0.48
% 0.20/0.48 ------------> process usable:
% 0.20/0.48 Following clause subsumed by 14 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(c_Suc,A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.20/0.48 Following clause subsumed by 15 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(c_Suc,A)),B)).
% 0.20/0.48 Following clause subsumed by 16 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.20/0.48 Following clause subsumed by 17 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 0.20/0.48 Following clause subsumed by 36 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.48 Following clause subsumed by 36 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.48 Following clause subsumed by 48 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),c_Orderings_Oord__class_Omin(C,D,A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.48 Following clause subsumed by 48 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),c_Orderings_Oord__class_Omin(C,D,A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.48 Following clause subsumed by 41 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).
% 0.20/0.49 Following clause subsumed by 73 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)).
% 0.20/0.49 Following clause subsumed by 81 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 0.20/0.49 Following clause subsumed by 89 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),A))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,A))).
% 0.20/0.49 Following clause subsumed by 91 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).
% 0.20/0.49 Following clause subsumed by 34 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).
% 0.20/0.49 Following clause subsumed by 131 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.49 Following clause subsumed by 142 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).
% 0.20/0.49 Following clause subsumed by 147 during input processing: 0 [] {-} c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 0.20/0.49 Following clause subsumed by 151 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),c_Orderings_Oord__class_Omin(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D)).
% 0.20/0.49 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),c_Orderings_Oord__class_Omin(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.49 Following clause subsumed by 149 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),c_Orderings_Oord__class_Omin(D,C,A))).
% 0.20/0.49 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),c_Orderings_Oord__class_Omin(C,D,A))).
% 0.20/0.49 Following clause subsumed by 167 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).
% 0.20/0.49 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.49 Following clause subsumed by 183 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.49 Following clause subsumed by 180 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),D),B)),C)).
% 0.20/0.49 Following clause subsumed by 181 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),D)),C)).
% 0.20/0.49 Following clause subsumed by 199 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.
% 0.20/0.49 Following clause subsumed by 118 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)).
% 0.20/0.49 Following clause subsumed by 118 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)).
% 0.20/0.49 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.49 Following clause subsumed by 214 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),C)).
% 0.20/0.49 Following clause subsumed by 215 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B)).
% 0.20/0.49 Following clause subsumed by 230 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|hBOOL(hAPP(hAPP(c_lessequals(A),B),B)).
% 0.20/0.49 Following clause subsumed by 230 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.49 Following clause subsumed by 232 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.49 Following clause subsumed by 230 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lessequals(A),C),B)).
% 0.20/0.49 Following clause subsumed by 246 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),B),A)).
% 0.20/0.49 Following clause subsumed by 270 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 0.20/0.49 Following clause subsumed by 270 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 0.20/0.49 Following clause subsumed by 270 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)).
% 0.20/0.49 Following clause subsumed by 271 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.49 Following clause subsumed by 271 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.49 Following clause subsumed by 276 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.20/0.49 Following clause subsumed by 277 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 0.20/0.49 Following clause subsumed by 281 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(D,B).
% 0.20/0.49 Following clause subsumed by 292 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).
% 0.20/0.49 Following clause subsumed by 62 during input processing: 0 [flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 0.20/0.49 Following clause subsumed by 306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.20/0.49 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 0.20/0.49 Following clause subsumed by 322 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),C),B))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.49 Following clause subsumed by 322 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),B)).
% 0.20/0.49 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.49 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.49 Following clause subsumed by 329 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.20/0.49 Following clause subsumed by 357 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),B)=A| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),B),A)).
% 0.20/0.49 Following clause subsumed by 366 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.49 Following clause subsumed by 377 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(A,B)))| -hBOOL(hAPP(A,C)).
% 0.20/0.49 Following clause subsumed by 380 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Orderings_Oord__class_Omin(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 0.20/0.49 Following clause subsumed by 381 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Orderings_Oord__class_Omin(B,C,A)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)).
% 0.20/0.49 Following clause subsumed by 391 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 0.20/0.49 Following clause subsumed by 392 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.20/0.49 Following clause subsumed by 392 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 0.20/0.49 Following clause subsumed by 394 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.20/0.49 Following clause subsumed by 45 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),D,A).
% 0.20/0.49 Following clause subsumed by 413 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.20/0.49 Following clause subsumed by 434 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.20/0.49 Following clause subsumed by 434 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.20/0.49 Following clause subsumed by 434 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 0.20/0.49 Following clause subsumed by 365 during input processing: 0 [] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 0.20/0.49 Following clause subsumed by 284 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),C),B)).
% 0.20/0.49 Following clause subsumed by 306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.49 Following clause subsumed by 468 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.20/0.49 Following clause subsumed by 35 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(A),B,C,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(A),B,C,A)).
% 0.20/0.49 Following clause subsumed by 450 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.49 Following clause subsumed by 388 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),B),A)).
% 0.20/0.49 Following clause subsumed by 485 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),E),C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),E)),D))| -hBOOL(c_Relation_Otrans(D,A)).
% 0.20/0.49 Following clause subsumed by 497 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)).
% 0.20/0.49 Following clause subsumed by 498 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)).
% 0.20/0.49 Following clause subsumed by 528 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 0.20/0.50 Following clause subsumed by 530 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 0.20/0.50 Following clause subsumed by 528 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.20/0.50 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A))).
% 0.20/0.50 Following clause subsumed by 555 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.
% 0.20/0.50 Following clause subsumed by 572 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.20/0.50 Following clause subsumed by 572 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.20/0.50 Following clause subsumed by 572 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.20/0.50 Following clause subsumed by 17 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),B)).
% 0.20/0.50 Following clause subsumed by 16 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)).
% 0.20/0.50 Following clause subsumed by 582 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.20/0.50 Following clause subsumed by 583 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),B)).
% 0.20/0.50 Following clause subsumed by 584 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.20/0.50 Following clause subsumed by 585 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),B)).
% 0.20/0.50 Following clause subsumed by 598 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 610 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),hAPP(hAPP(c_Pair(A,B),C),D)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 0.20/0.50 Following clause subsumed by 613 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 0.20/0.50 Following clause subsumed by 613 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 0.20/0.50 Following clause subsumed by 622 during input processing: 0 [] {-} hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,B),C),D),E),F)=hAPP(C,F)| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),F),E)),D)).
% 0.20/0.50 Following clause subsumed by 538 during input processing: 0 [] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 0.20/0.50 Following clause subsumed by 239 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,C,A)),D),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),C,A).
% 0.20/0.50 Following clause subsumed by 241 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.20/0.50 Following clause subsumed by 644 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|C=B.
% 0.20/0.50 Following clause subsumed by 645 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B)).
% 0.20/0.50 Following clause subsumed by 645 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B)).
% 0.20/0.50 Following clause subsumed by 646 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.50 Following clause subsumed by 646 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.50 Following clause subsumed by 646 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|B=C.
% 0.20/0.50 Following clause subsumed by 647 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.50 Following clause subsumed by 652 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(hAPP(c_lessequals(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.20/0.50 Following clause subsumed by 663 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)).
% 0.20/0.50 Following clause subsumed by 663 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)).
% 0.20/0.50 Following clause subsumed by 460 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 0.20/0.50 Following clause subsumed by 675 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.50 Following clause subsumed by 599 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,B))).
% 0.20/0.50 Following clause subsumed by 676 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.20/0.50 Following clause subsumed by 678 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Nat_Onat_Onat__case(B,C,hAPP(c_Suc,D),t_a)))|hBOOL(hAPP(A,hAPP(C,D))).
% 0.20/0.50 Following clause subsumed by 683 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(c_Suc,A)),hAPP(c_Suc,B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.20/0.53 Following clause subsumed by 717 during input processing: 0 [] {-} c_Natural_Oevalc(A,B,C)| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,A),B),D),C)).
% 0.20/0.53 Following clause subsumed by 718 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(c_Hoare__Mirabelle_Otriple_Otriple__case(B,t_b,t_a),c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b))))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 0.20/0.53 Following clause subsumed by 738 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.20/0.53 Following clause subsumed by 740 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.20/0.53 Following clause subsumed by 487 during input processing: 0 [copy,6,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 0.20/0.53 Following clause subsumed by 127 during input processing: 0 [copy,11,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 0.20/0.53 Following clause subsumed by 438 during input processing: 0 [copy,23,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 0.20/0.53 Following clause subsumed by 620 during input processing: 0 [copy,49,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 0.20/0.53 Following clause subsumed by 228 during input processing: 0 [copy,82,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 0.20/0.53 Following clause subsumed by 11 during input processing: 0 [copy,127,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 0.20/0.53 Following clause subsumed by 194 during input processing: 0 [copy,193,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 0.20/0.53 Following clause subsumed by 193 during input processing: 0 [copy,194,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 0.20/0.53 Following clause subsumed by 82 during input processing: 0 [copy,228,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 0.20/0.53 232 back subsumes 231.
% 0.20/0.53 377 back subsumes 112.
% 0.20/0.53 Following clause subsumed by 23 during input processing: 0 [copy,438,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 0.20/0.53 Following clause subsumed by 6 during input processing: 0 [copy,487,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 0.20/0.53 Following clause subsumed by 676 during input processing: 0 [copy,598,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.20/0.53 Following clause subsumed by 49 during input processing: 0 [copy,620,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 0.20/0.53 663 back subsumes 290.
% 0.20/0.53 664 back subsumes 291.
% 0.20/0.53 Following clause subsumed by 598 during input processing: 0 [copy,676,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.53 839 back subsumes 838.
% 0.20/0.53 850 back subsumes 756.
% 0.20/0.53
% 0.20/0.53 ------------> process sos:
% 0.20/0.53 Following clause subsumed by 881 during input processing: 0 [] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.20/0.53 Following clause subsumed by 884 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))).
% 0.20/0.53 Following clause subsumed by 934 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,A))).
% 0.20/0.53 Following clause subsumed by 913 during input processing: 0 [demod,890] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.20/0.53 Following clause subsumed by 938 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.20/0.53 Following clause subsumed by 942 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),B)).
% 0.20/0.53 Following clause subsumed by 942 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A))|B=A.
% 0.20/0.53 Following clause subsumed by 913 during input processing: 0 [demod,917] {-} v_P=v_P.
% 0.20/0.53 Following clause subsumed by 945 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.53 Following clause subsumed by 913 during input processing: 0 [demod,978] {-} A=A.
% 0.20/0.54 Following clause subsumed by 996 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,A))).
% 0.20/0.54 Following clause subsumed by 997 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),A)).
% 0.20/0.54 Following clause subsumed by 913 during input processing: 0 [demod,980] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.20/0.54 Following clause subsumed by 913 during input processing: 0 [demod,1023,1025] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.20/0.54 Following clause subsumed by 997 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(c_Suc,A)),hAPP(c_Suc,A))).
% 0.20/0.54 Following clause subsumed by 996 during input processing: 0 [unit_del,306] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,A))).
% 0.20/0.54 Following clause subsumed by 1075 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.20/0.54 Following clause subsumed by 1074 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.20/0.54 Following clause subsumed by 913 during input processing: 0 [demod,1073] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 0.20/0.54 Following clause subsumed by 913 during input processing: 0 [] {-} A=A.
% 0.20/0.54 Following clause subsumed by 883 during input processing: 0 [copy,883,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.20/0.54 Following clause subsumed by 898 during input processing: 0 [copy,898,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.20/0.54 Following clause subsumed by 913 during input processing: 0 [copy,913,flip.1] {-} A=A.
% 0.20/0.54 913 back subsumes 849.
% 0.20/0.54 913 back subsumes 794.
% 0.20/0.54 913 back subsumes 793.
% 0.20/0.54 913 back subsumes 792.
% 0.20/0.54 913 back subsumes 791.
% 0.20/0.54 913 back subsumes 790.
% 0.20/0.54 913 back subsumes 789.
% 0.20/0.54 913 back subsumes 785.
% 0.20/0.54 913 back subsumes 783.
% 0.20/0.54 934 back subsumes 914.
% 0.20/0.54 Following clause subsumed by 944 during input processing: 0 [copy,944,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 0.20/0.54 997 back subsumes 782.
% 0.20/0.54 Following clause subsumed by 881 during input processing: 0 [copy,1128,flip.1] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.20/0.54 Following clause subsumed by 903 during input processing: 0 [copy,1129,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 923 during input processing: 0 [copy,1130,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 924 during input processing: 0 [copy,1131,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 0.20/0.54 Following clause subsumed by 1132 during input processing: 0 [copy,1132,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),D))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),D)).
% 0.20/0.54 Following clause subsumed by 937 during input processing: 0 [copy,1133,flip.1] {-} c_Product__Type_Oscomp(hAPP(c_Pair(A,B),C),D,B,A,B,E)=hAPP(D,C).
% 0.20/0.54 Following clause subsumed by 940 during input processing: 0 [copy,1134,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),B)=hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),A),B).
% 0.20/0.54 Following clause subsumed by 947 during input processing: 0 [copy,1135,flip.1] {-} hAPP(c_Product__Type_Oscomp(A,B,C,D,E,F),G)=hAPP(c_split(B,D,E,F),hAPP(A,G)).
% 0.20/0.54 Following clause subsumed by 1139 during input processing: 0 [copy,1139,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),C)=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),B).
% 0.20/0.54 Following clause subsumed by 1009 during input processing: 0 [copy,1140,flip.1] {-} hAPP(hAPP(c_Fun_Ofcomp(A,B,C),hAPP(hAPP(c_Fun_Ofcomp(A,D,B),E),F)),G)=hAPP(hAPP(c_Fun_Ofcomp(A,D,C),E),hAPP(hAPP(c_Fun_Ofcomp(D,B,C),F),G)).
% 0.20/0.54 Following clause subsumed by 1013 during input processing: 0 [copy,1141,flip.1] {-} c_Nat_Onat_Onat__case(A,B,hAPP(c_Suc,C),D)=hAPP(B,C).
% 0.20/0.54 Following clause subsumed by 1037 during input processing: 0 [copy,1142,flip.1] {-} hAPP(hAPP(c_Fun_Ofcomp(A,B,C),c_Product__Type_Oscomp(D,E,A,F,G,B)),H)=c_Product__Type_Oscomp(D,hAPP(hAPP(c_COMBC(F,tc_fun(B,C),tc_fun(G,C)),hAPP(hAPP(c_COMBB(tc_fun(G,B),tc_fun(tc_fun(B,C),tc_fun(G,C)),F),c_Fun_Ofcomp(G,B,C)),E)),H),A,F,G,C).
% 0.20/0.54 Following clause subsumed by 1060 during input processing: 0 [copy,1155,flip.1] {-} hAPP(c_Hoare__Mirabelle_Otriple_Otriple__case(A,B,C),c_Hoare__Mirabelle_Otriple_Otriple(D,E,F,B))=hAPP(hAPP(hAPP(A,D),E),F).
% 0.20/0.54 Following clause subsumed by 1068 during input processing: 0 [copy,1156,flip.1] {-} c_List_Ofoldl(A,B,c_List_Omap(C,D,E,F),G,F)=c_List_Ofoldl(hAPP(hAPP(c_COMBC(G,tc_fun(E,F),tc_fun(E,G)),hAPP(hAPP(c_COMBB(tc_fun(F,G),tc_fun(tc_fun(E,F),tc_fun(E,G)),G),c_COMBB(F,G,E)),A)),C),B,D,G,E).
% 0.20/0.54 Following clause subsumed by 1074 during input processing: 0 [copy,1158,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.20/0.54 Following clause subsumed by 1075 during input processing: 0 [copy,1159,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.20/0.54
% 0.20/0.54 ======= end of input processing =======
% 0.36/0.55
% 0.36/0.55 SEGMENTATION FAULT!! This is probably caused by a
% 0.36/0.55 bug in Otter. Please send copy of the input file to
% 0.36/0.55 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.36/0.55 using, and send any other info that might be useful.
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 SEGMENTATION FAULT!! This is probably caused by a
% 0.36/0.55 bug in Otter. Please send copy of the input file to
% 0.36/0.55 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.36/0.55 using, and send any other info that might be useful.
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 The job finished Wed Jun 15 00:11:24 2022
%------------------------------------------------------------------------------