TSTP Solution File: SWV873-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV873-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 21:40:30 EDT 2022
% Result : Unsatisfiable 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV873-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 18:22:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 ----- Otter 3.2, August 2001 -----
% 0.18/0.51 The process was started by sandbox2 on n007.cluster.edu,
% 0.18/0.51 Tue Jun 14 18:22:40 2022
% 0.18/0.51 The command was "./sos". The process ID is 4921.
% 0.18/0.51
% 0.18/0.51 set(prolog_style_variables).
% 0.18/0.51 set(auto).
% 0.18/0.51 dependent: set(auto1).
% 0.18/0.51 dependent: set(process_input).
% 0.18/0.51 dependent: clear(print_kept).
% 0.18/0.51 dependent: clear(print_new_demod).
% 0.18/0.51 dependent: clear(print_back_demod).
% 0.18/0.51 dependent: clear(print_back_sub).
% 0.18/0.51 dependent: set(control_memory).
% 0.18/0.51 dependent: assign(max_mem, 12000).
% 0.18/0.51 dependent: assign(pick_given_ratio, 4).
% 0.18/0.51 dependent: assign(stats_level, 1).
% 0.18/0.51 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.51 dependent: assign(sos_limit, 5000).
% 0.18/0.51 dependent: assign(max_weight, 60).
% 0.18/0.51 clear(print_given).
% 0.18/0.51
% 0.18/0.51 list(usable).
% 0.18/0.51
% 0.18/0.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.51
% 0.18/0.51 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.51 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.51 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.51 clauses in usable.
% 0.18/0.51
% 0.18/0.51 dependent: set(knuth_bendix).
% 0.18/0.51 dependent: set(para_from).
% 0.18/0.51 dependent: set(para_into).
% 0.18/0.51 dependent: clear(para_from_right).
% 0.18/0.51 dependent: clear(para_into_right).
% 0.18/0.51 dependent: set(para_from_vars).
% 0.18/0.51 dependent: set(eq_units_both_ways).
% 0.18/0.51 dependent: set(dynamic_demod_all).
% 0.18/0.51 dependent: set(dynamic_demod).
% 0.18/0.51 dependent: set(order_eq).
% 0.18/0.51 dependent: set(back_demod).
% 0.18/0.51 dependent: set(lrpo).
% 0.18/0.51 dependent: set(hyper_res).
% 0.18/0.51 dependent: set(unit_deletion).
% 0.18/0.51 dependent: set(factor).
% 0.18/0.51
% 0.18/0.51 ------------> process usable:
% 0.18/0.51 Following clause subsumed by 5 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.18/0.51 Following clause subsumed by 6 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D)).
% 0.18/0.51 Following clause subsumed by 3 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D))).
% 0.18/0.51 Following clause subsumed by 4 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C))).
% 0.18/0.51 Following clause subsumed by 17 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.51 Following clause subsumed by 26 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).
% 0.18/0.51 Following clause subsumed by 51 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.18/0.51 Following clause subsumed by 61 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).
% 0.18/0.51 Following clause subsumed by 73 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)).
% 0.18/0.51 Following clause subsumed by 74 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)).
% 0.18/0.51 Following clause subsumed by 71 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)).
% 0.18/0.51 Following clause subsumed by 72 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)).
% 0.18/0.51 Following clause subsumed by 76 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Option_Ooption_Ooption__case(B,C,hAPP(c_Option_Ooption_OSome(t_b),D),t_a,t_b)))|hBOOL(hAPP(A,hAPP(C,D))).
% 0.18/0.51 Following clause subsumed by 85 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.
% 0.18/0.51 Following clause subsumed by 88 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,C,D,A)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(C,D).
% 0.18/0.51 Following clause subsumed by 89 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.18/0.51 Following clause subsumed by 96 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).
% 0.18/0.51 Following clause subsumed by 108 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.18/0.51 Following clause subsumed by 128 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)).
% 0.18/0.51 Following clause subsumed by 128 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)).
% 0.18/0.51 Following clause subsumed by 141 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.18/0.51 Following clause subsumed by 141 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.18/0.51 Following clause subsumed by 131 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),c_HOL_Ominus__class_Ominus(B,E,A)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.18/0.51 Following clause subsumed by 150 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)).
% 0.18/0.51 Following clause subsumed by 164 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).
% 0.18/0.51 Following clause subsumed by 185 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)).
% 0.18/0.51 Following clause subsumed by 185 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)).
% 0.18/0.51 Following clause subsumed by 111 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lessequals(A),B),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 0.18/0.51 Following clause subsumed by 202 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)).
% 0.18/0.51 Following clause subsumed by 202 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)).
% 0.18/0.51 Following clause subsumed by 203 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)).
% 0.18/0.51 Following clause subsumed by 202 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)).
% 0.18/0.51 Following clause subsumed by 215 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),B),A))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),A),B)).
% 0.18/0.51 Following clause subsumed by 123 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.
% 0.18/0.51 Following clause subsumed by 216 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)).
% 0.18/0.51 Following clause subsumed by 216 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)).
% 0.18/0.51 Following clause subsumed by 123 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)).
% 0.18/0.51 Following clause subsumed by 123 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)).
% 0.18/0.51 Following clause subsumed by 249 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.51 Following clause subsumed by 248 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 0.18/0.51 Following clause subsumed by 249 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.51 Following clause subsumed by 250 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D)|hBOOL(hAPP(hAPP(C,B),B)).
% 0.18/0.51 Following clause subsumed by 248 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(A,C,D)| -hBOOL(hAPP(hAPP(C,B),B)).
% 0.18/0.51 Following clause subsumed by 255 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(D,C),E)))| -c_Lattices_Olower__semilattice(A,F,D,G).
% 0.18/0.51 Following clause subsumed by 254 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(D,E),C)))| -c_Lattices_Olower__semilattice(A,F,D,G).
% 0.18/0.51 Following clause subsumed by 265 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.18/0.51 Following clause subsumed by 265 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.18/0.51 Following clause subsumed by 268 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),C)).
% 0.18/0.51 Following clause subsumed by 273 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))).
% 0.18/0.51 Following clause subsumed by 285 during input processing: 0 [] {-} -c_Orderings_Olinorder(A,B,C)| -hBOOL(hAPP(hAPP(B,D),D)).
% 0.18/0.51 Following clause subsumed by 294 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(C,D),E)))| -hBOOL(hAPP(hAPP(A,B),E))| -hBOOL(hAPP(hAPP(A,B),D))| -c_Lattices_Olower__semilattice(A,F,C,G).
% 0.18/0.51 Following clause subsumed by 294 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(C,D),E)))| -hBOOL(hAPP(hAPP(A,B),E))| -hBOOL(hAPP(hAPP(A,B),D))| -c_Lattices_Olower__semilattice(A,F,C,G).
% 0.18/0.51 Following clause subsumed by 302 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D)).
% 0.18/0.51 Following clause subsumed by 303 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)).
% 0.18/0.51 Following clause subsumed by 303 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)).
% 0.18/0.51 Following clause subsumed by 308 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)).
% 0.18/0.51 Following clause subsumed by 309 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)).
% 0.18/0.51 Following clause subsumed by 326 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 0.18/0.51 Following clause subsumed by 327 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)).
% 0.18/0.51 Following clause subsumed by 336 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)).
% 0.18/0.51 Following clause subsumed by 337 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))).
% 0.18/0.51 Following clause subsumed by 337 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)).
% 0.18/0.51 Following clause subsumed by 349 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 0.18/0.52 Following clause subsumed by 350 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 0.18/0.52 Following clause subsumed by 371 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.18/0.52 Following clause subsumed by 374 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)).
% 0.18/0.52 Following clause subsumed by 375 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)).
% 0.18/0.52 Following clause subsumed by 393 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 0.18/0.52 Following clause subsumed by 396 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,tc_bool)),A),C))| -c_Finite__Set_Ofinite(C,B).
% 0.18/0.52 Following clause subsumed by 416 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))|C=B| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.52 Following clause subsumed by 416 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|C=B|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.52 Following clause subsumed by 416 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Olinorder(D,C,E).
% 0.18/0.52 Following clause subsumed by 430 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.
% 0.18/0.52 Following clause subsumed by 432 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)).
% 0.18/0.52 Following clause subsumed by 431 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(C,tc_bool)),A),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),A),B)).
% 0.18/0.52 Following clause subsumed by 432 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)).
% 0.18/0.52 Following clause subsumed by 432 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.
% 0.18/0.52 Following clause subsumed by 433 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)).
% 0.18/0.52 Following clause subsumed by 438 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))).
% 0.18/0.52 Following clause subsumed by 448 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)).
% 0.18/0.52 Following clause subsumed by 450 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)).
% 0.18/0.53 Following clause subsumed by 448 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))).
% 0.18/0.53 Following clause subsumed by 452 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))).
% 0.18/0.53 Following clause subsumed by 457 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(C,D,E).
% 0.18/0.53 Following clause subsumed by 466 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.
% 0.18/0.53 Following clause subsumed by 489 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.18/0.53 Following clause subsumed by 496 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.18/0.53 Following clause subsumed by 497 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),D),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.18/0.53 Following clause subsumed by 497 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),D),C)).
% 0.18/0.53 Following clause subsumed by 497 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),D),C)).
% 0.18/0.53 Following clause subsumed by 521 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)).
% 0.18/0.53 Following clause subsumed by 521 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)).
% 0.18/0.53 Following clause subsumed by 530 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)).
% 0.18/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))|hBOOL(hAPP(hAPP(c_in(A),C),B)).
% 0.18/0.53 Following clause subsumed by 551 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),C))|hBOOL(hAPP(hAPP(c_in(A),D),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),D),C))).
% 0.18/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))|hBOOL(hAPP(hAPP(c_in(A),C),B)).
% 0.18/0.53 Following clause subsumed by 611 during input processing: 0 [] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 0.18/0.53 Following clause subsumed by 643 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_in(A),C),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool))),D)).
% 0.18/0.55 Following clause subsumed by 516 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool))),D)).
% 0.18/0.55 Following clause subsumed by 691 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 0.18/0.55 Following clause subsumed by 692 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.18/0.55 Following clause subsumed by 692 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.18/0.55 Following clause subsumed by 693 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.18/0.55 Following clause subsumed by 700 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(c_Map_Omap__add(E,A,F,C),B)=hAPP(c_Option_Ooption_OSome(C),D).
% 0.18/0.55 Following clause subsumed by 719 during input processing: 0 [flip.1] {-} hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 0.18/0.55 Following clause subsumed by 722 during input processing: 0 [] {-} c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 0.18/0.55 Following clause subsumed by 728 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).
% 0.18/0.55 Following clause subsumed by 719 during input processing: 0 [] {-} hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 0.18/0.55 Following clause subsumed by 719 during input processing: 0 [] {-} hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 0.18/0.55 Following clause subsumed by 783 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.18/0.55 Following clause subsumed by 785 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.18/0.55 Following clause subsumed by 785 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.18/0.55 Following clause subsumed by 785 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.18/0.55 Following clause subsumed by 787 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.18/0.55 Following clause subsumed by 785 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.18/0.55 Following clause subsumed by 787 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.18/0.55 Following clause subsumed by 782 during input processing: 0 [flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 0.18/0.55 358 back subsumes 357.
% 0.18/0.55 521 back subsumes 93.
% 0.18/0.55 522 back subsumes 94.
% 0.18/0.55 550 back subsumes 504.
% 0.18/0.55 Following clause subsumed by 609 during input processing: 0 [copy,608,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 0.18/0.55 Following clause subsumed by 608 during input processing: 0 [copy,609,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 0.18/0.55 787 back subsumes 773.
% 0.18/0.55 Following clause subsumed by 38 during input processing: 0 [copy,828,flip.1] {-} c_Fun_Ofun__upd(A,B,hAPP(c_Option_Ooption_OSome(C),D),E,tc_Option_Ooption(C))!=c_COMBK(c_Option_Ooption_ONone(C),tc_Option_Ooption(C),E).
% 0.18/0.55 867 back subsumes 866.
% 0.18/0.55 897 back subsumes 853.
% 0.18/0.55 927 back subsumes 926.
% 0.18/0.55
% 0.18/0.55 ------------> process sos:
% 0.18/0.55 Following clause subsumed by 1001 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)).
% 0.18/0.55 Following clause subsume
% 0.18/0.55 -------- PROOF --------
% 0.18/0.55 % SZS status Unsatisfiable
% 0.18/0.55 % SZS output start Refutation
% 0.18/0.55 d by 1001 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.
% 0.18/0.55 Following clause subsumed by 1004 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.18/0.55 Following clause subsumed by 1010 during input processing: 0 [demod,1008] {-} C=C.
% 0.18/0.55 Following clause subsumed by 1010 during input processing: 0 [demod,1006] {-} A=A.
% 0.18/0.55 Following clause subsumed by 1029 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),B)).
% 0.18/0.55 Following clause subsumed by 1010 during input processing: 0 [demod,1008] {-} hAPP(c_Option_Ooption_OSome(C),D)=hAPP(c_Option_Ooption_OSome(C),D).
% 0.18/0.55 Following clause subsumed by 1033 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.18/0.55 Following clause subsumed by 1004 during input processing: 0 [unit_del,108] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.18/0.55 Following clause subsumed by 1029 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.18/0.55 Following clause subsumed by 1010 during input processing: 0 [demod,1072,1072,1127,1072] {-} c_Option_Oset(c_Option_Ooption_ONone(A),A)=c_Option_Oset(c_Option_Ooption_ONone(A),A).
% 0.18/0.55 Following clause subsumed by 1059 during input processing: 0 [demod,1072,1186,1127] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Option_Oset(hAPP(c_Option_Ooption_OSome(A),B),A))).
% 0.18/0.55
% 0.18/0.55 ----> UNIT CONFLICT at 0.08 sec ----> 1212 [binary,1211.1,810.1] {-} $F.
% 0.18/0.55
% 0.18/0.55 Length of proof is 0. Level of proof is 0.
% 0.18/0.55
% 0.18/0.55 ---------------- PROOF ----------------
% 0.18/0.55 % SZS status Unsatisfiable
% 0.18/0.55 % SZS output start Refutation
% 0.18/0.55
% 0.18/0.55 810 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),v_x),v_x)).
% 0.18/0.55 1211 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 0.18/0.55 1212 [binary,1211.1,810.1] {-} $F.
% 0.18/0.55
% 0.18/0.55 % SZS output end Refutation
% 0.18/0.55 ------------ end of proof -------------
% 0.18/0.55
% 0.18/0.55
% 0.18/0.55 Search stopped by max_proofs option.
% 0.18/0.55
% 0.18/0.55
% 0.18/0.55 Search stopped by max_proofs option.
% 0.18/0.55
% 0.18/0.55 ============ end of search ============
% 0.18/0.55
% 0.18/0.55 That finishes the proof of the theorem.
% 0.18/0.55
% 0.18/0.55 Process 4921 finished Tue Jun 14 18:22:40 2022
%------------------------------------------------------------------------------