TSTP Solution File: SCT098-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT098-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 22:12:05 EDT 2022
% Result : Unknown 0.45s 0.65s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT098-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 03:40:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.37/0.56 ----- Otter 3.2, August 2001 -----
% 0.37/0.56 The process was started by sandbox2 on n008.cluster.edu,
% 0.37/0.56 Sat Jul 2 03:40:53 2022
% 0.37/0.56 The command was "./sos". The process ID is 12286.
% 0.37/0.56
% 0.37/0.56 set(prolog_style_variables).
% 0.37/0.56 set(auto).
% 0.37/0.56 dependent: set(auto1).
% 0.37/0.56 dependent: set(process_input).
% 0.37/0.56 dependent: clear(print_kept).
% 0.37/0.56 dependent: clear(print_new_demod).
% 0.37/0.56 dependent: clear(print_back_demod).
% 0.37/0.56 dependent: clear(print_back_sub).
% 0.37/0.56 dependent: set(control_memory).
% 0.37/0.56 dependent: assign(max_mem, 12000).
% 0.37/0.56 dependent: assign(pick_given_ratio, 4).
% 0.37/0.56 dependent: assign(stats_level, 1).
% 0.37/0.56 dependent: assign(pick_semantic_ratio, 3).
% 0.37/0.56 dependent: assign(sos_limit, 5000).
% 0.37/0.56 dependent: assign(max_weight, 60).
% 0.37/0.56 clear(print_given).
% 0.37/0.56
% 0.37/0.56 list(usable).
% 0.37/0.56
% 0.37/0.56 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.37/0.56
% 0.37/0.56 This ia a non-Horn set with equality. The strategy will be
% 0.37/0.56 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.37/0.56 unit deletion, with positive clauses in sos and nonpositive
% 0.37/0.56 clauses in usable.
% 0.37/0.56
% 0.37/0.56 dependent: set(knuth_bendix).
% 0.37/0.56 dependent: set(para_from).
% 0.37/0.56 dependent: set(para_into).
% 0.37/0.56 dependent: clear(para_from_right).
% 0.37/0.56 dependent: clear(para_into_right).
% 0.37/0.56 dependent: set(para_from_vars).
% 0.37/0.56 dependent: set(eq_units_both_ways).
% 0.37/0.56 dependent: set(dynamic_demod_all).
% 0.37/0.56 dependent: set(dynamic_demod).
% 0.37/0.56 dependent: set(order_eq).
% 0.37/0.56 dependent: set(back_demod).
% 0.37/0.56 dependent: set(lrpo).
% 0.37/0.56 dependent: set(hyper_res).
% 0.37/0.56 dependent: set(unit_deletion).
% 0.37/0.56 dependent: set(factor).
% 0.37/0.56
% 0.37/0.56 ------------> process usable:
% 0.37/0.56 Following clause subsumed by 5 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).
% 0.37/0.56 Following clause subsumed by 35 during input processing: 0 [] {-} c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C),tc_fun(A,tc_bool))| -c_lessequals(C,B,tc_fun(A,tc_bool)).
% 0.37/0.56 Following clause subsumed by 34 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).
% 0.37/0.56 Following clause subsumed by 74 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).
% 0.37/0.56 Following clause subsumed by 78 during input processing: 0 [] {-} c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 0.37/0.56 Following clause subsumed by 103 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).
% 0.37/0.56 Following clause subsumed by 124 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.
% 0.37/0.56 Following clause subsumed by 143 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.56 Following clause subsumed by 149 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.37/0.57 Following clause subsumed by 165 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)).
% 0.37/0.57 Following clause subsumed by 179 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).
% 0.37/0.57 Following clause subsumed by 192 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)).
% 0.37/0.57 Following clause subsumed by 192 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)).
% 0.37/0.57 Following clause subsumed by 145 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).
% 0.37/0.57 Following clause subsumed by 253 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 0.37/0.57 Following clause subsumed by 253 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.57 Following clause subsumed by 253 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.57 Following clause subsumed by 263 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.37/0.57 Following clause subsumed by 265 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.37/0.57 Following clause subsumed by 265 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.37/0.57 Following clause subsumed by 337 during input processing: 0 [] {-} c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lessequals(B,D,tc_fun(C,tc_bool))| -c_lessequals(A,D,tc_fun(C,tc_bool)).
% 0.37/0.57 Following clause subsumed by 338 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.37/0.57 Following clause subsumed by 338 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.37/0.57 Following clause subsumed by 351 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).
% 0.37/0.57 Following clause subsumed by 365 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.57 Following clause subsumed by 27 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 0.37/0.57 Following clause subsumed by 371 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).
% 0.37/0.57 Following clause subsumed by 372 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).
% 0.37/0.57 Following clause subsumed by 372 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).
% 0.37/0.57 Following clause subsumed by 166 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.37/0.57 Following clause subsumed by 166 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.37/0.57 Following clause subsumed by 379 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A)).
% 0.37/0.57 Following clause subsumed by 366 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.57 Following clause subsumed by 394 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 0.37/0.57 Following clause subsumed by 395 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 0.37/0.57 Following clause subsumed by 409 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.37/0.57 Following clause subsumed by 409 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.37/0.57 Following clause subsumed by 412 during input processing: 0 [] {-} c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))| -c_lessequals(A,B,tc_fun(D,tc_bool)).
% 0.37/0.57 Following clause subsumed by 314 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).
% 0.37/0.57 Following clause subsumed by 458 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),D))| -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),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))).
% 0.37/0.57 Following clause subsumed by 457 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),C)).
% 0.37/0.57 Following clause subsumed by 461 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 0.37/0.57 Following clause subsumed by 462 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 0.37/0.58 Following clause subsumed by 483 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).
% 0.37/0.58 Following clause subsumed by 538 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.
% 0.37/0.58 Following clause subsumed by 560 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 0.37/0.58 Following clause subsumed by 566 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.
% 0.37/0.58 Following clause subsumed by 566 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.
% 0.37/0.58 Following clause subsumed by 566 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.
% 0.37/0.58 Following clause subsumed by 474 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.37/0.58 Following clause subsumed by 570 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_lessequals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 0.37/0.58 Following clause subsumed by 365 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.58 Following clause subsumed by 606 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).
% 0.37/0.58 Following clause subsumed by 105 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.58 Following clause subsumed by 613 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)).
% 0.37/0.58 Following clause subsumed by 613 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)).
% 0.37/0.58 Following clause subsumed by 643 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),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),B)).
% 0.37/0.58 Following clause subsumed by 646 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)).
% 0.37/0.58 Following clause subsumed by 647 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)).
% 0.37/0.58 Following clause subsumed by 646 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))).
% 0.37/0.58 Following clause subsumed by 654 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -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),c_HOL_Ozero__class_Ozero(A)),B)).
% 0.37/0.58 Following clause subsumed by 653 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.37/0.58 Following clause subsumed by 665 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_lessequals(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.37/0.58 Following clause subsumed by 666 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.37/0.58 Following clause subsumed by 667 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.37/0.58 Following clause subsumed by 668 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.37/0.58 Following clause subsumed by 669 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lessequals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.37/0.58 Following clause subsumed by 669 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.37/0.58 Following clause subsumed by 669 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.37/0.58 Following clause subsumed by 672 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)))).
% 0.37/0.58 Following clause subsumed by 672 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.37/0.58 Following clause subsumed by 672 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.37/0.58 Following clause subsumed by 672 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)))).
% 0.37/0.58 Following clause subsumed by 680 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.37/0.58 Following clause subsumed by 681 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -c_lessequals(B,C,A).
% 0.37/0.58 Following clause subsumed by 681 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -c_lessequals(B,C,A).
% 0.37/0.58 Following clause subsumed by 681 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -c_lessequals(B,C,A).
% 0.37/0.58 Following clause subsumed by 682 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B| -c_lessequals(B,C,A).
% 0.37/0.58 Following clause subsumed by 703 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|c_lessequals(B,B,A).
% 0.37/0.58 Following clause subsumed by 703 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.37/0.58 Following clause subsumed by 705 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.37/0.58 Following clause subsumed by 703 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|c_lessequals(C,B,A).
% 0.37/0.58 Following clause subsumed by 711 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))).
% 0.37/0.58 Following clause subsumed by 712 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)).
% 0.37/0.58 Following clause subsumed by 713 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -c_lessequals(A,B,tc_nat).
% 0.37/0.58 Following clause subsumed by 713 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -c_lessequals(A,B,tc_nat).
% 0.37/0.58 Following clause subsumed by 715 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.37/0.58 Following clause subsumed by 716 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.37/0.58 Following clause subsumed by 717 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_Equiv__Relations_Oequiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E)).
% 0.37/0.58 Following clause subsumed by 717 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oequiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A)).
% 0.37/0.58 Following clause subsumed by 746 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))).
% 0.37/0.58 Following clause subsumed by 750 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 0.37/0.59 Following clause subsumed by 749 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(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))).
% 0.37/0.59 Following clause subsumed by 763 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.59 Following clause subsumed by 763 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.59 Following clause subsumed by 777 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B),A).
% 0.37/0.59 Following clause subsumed by 793 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.37/0.59 Following clause subsumed by 812 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(D,B,A)),c_Power_Opower__class_Opower(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 0.37/0.59 Following clause subsumed by 813 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),B)).
% 0.37/0.59 Following clause subsumed by 904 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),E)).
% 0.37/0.59 Following clause subsumed by 905 during input processing: 0 [] {-} hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(F,C,D,D)),B)).
% 0.37/0.59 Following clause subsumed by 911 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Transitive__Closure_Ortrancl(C,A))).
% 0.37/0.59 Following clause subsumed by 917 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 0.37/0.59 Following clause subsumed by 925 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))).
% 0.37/0.59 Following clause subsumed by 926 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)).
% 0.37/0.59 Following clause subsumed by 926 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)).
% 0.37/0.59 Following clause subsumed by 933 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(B,C)!=c_HOL_Ozero__class_Ozero(A)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -c_Finite__Set_Ofinite(E,D)|c_Finite__Set_Osetprod(B,E,D,A)=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.59 Following clause subsumed by 944 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__mult(A)|c_Finite__Set_Osetprod(B,C,D,A)=c_HOL_Oone__class_Oone(A)|c_Finite__Set_Ofinite(C,D).
% 0.37/0.59 Following clause subsumed by 941 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.37/0.59 Following clause subsumed by 952 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).
% 0.37/0.62 Following clause subsumed by 913 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D)).
% 0.37/0.62 Following clause subsumed by 971 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,A,C,C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),D))| -c_Relation_Oantisym(D,C).
% 0.37/0.62 Following clause subsumed by 980 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Relation_Osym(D,A).
% 0.37/0.62 Following clause subsumed by 991 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),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)).
% 0.37/0.62 Following clause subsumed by 992 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 0.37/0.62 Following clause subsumed by 993 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 0.37/0.62 Following clause subsumed by 998 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),c_Pair(E,B,D,A)),C)).
% 0.37/0.62 Following clause subsumed by 999 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),C)).
% 0.37/0.62 Following clause subsumed by 1003 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 0.37/0.62 Following clause subsumed by 1009 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)).
% 0.37/0.62 Following clause subsumed by 1020 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)).
% 0.37/0.62 Following clause subsumed by 1020 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.
% 0.37/0.62 Following clause subsumed by 1020 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.37/0.62 Following clause subsumed by 1026 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.37/0.62 Following clause subsumed by 316 during input processing: 0 [copy,27,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.37/0.62 66 back subsumes 63.
% 0.37/0.62 67 back subsumes 65.
% 0.37/0.62 Following clause subsumed by 27 during input processing: 0 [copy,316,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.37/0.62 323 back subsumes 57.
% 0.37/0.62 401 back subsumes 164.
% 0.37/0.62 613 back subsumes 140.
% 0.37/0.62 614 back subsumes 141.
% 0.37/0.62 705 back subsumes 704.
% 0.37/0.62 716 back subsumes 714.
% 0.37/0.62 793 back subsumes 718.
% 0.37/0.62 920 back subsumes 916.
% 0.37/0.62 930 back subsumes 449.
% 0.37/0.62 1019 back subsumes 1018.
% 0.37/0.62 1028 back subsumes 1027.
% 0.37/0.62 1036 back subsumes 1016.
% 0.37/0.62 1150 back subsumes 1149.
% 0.37/0.62 1165 back subsumes 1063.
% 0.37/0.62
% 0.37/0.62 ------------> process sos:
% 0.37/0.62 Following clause subsumed by 1304 during input processing: 0 [] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.37/0.62 Following clause subsumed by 1274 during input processing: 0 [] {-} c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 0.37/0.62 Following clause subsumed by 1325 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.45/0.64 Following clause subsumed by 1353 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.45/0.64 Following clause subsumed by 1354 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1385 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.45/0.64 Following clause subsumed by 1385 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.45/0.64 Following clause subsumed by 1487 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Transitive__Closure_Ortrancl(C,A))).
% 0.45/0.64 Following clause subsumed by 1488 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Relation_OId(A))).
% 0.45/0.64 Following clause subsumed by 1490 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)).
% 0.45/0.64 Following clause subsumed by 1490 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.
% 0.45/0.64 Following clause subsumed by 1495 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.45/0.64 Following clause subsumed by 1494 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.45/0.64 1274 back subsumes 1261.
% 0.45/0.64 Following clause subsumed by 1286 during input processing: 0 [copy,1286,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1304 during input processing: 0 [copy,1304,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.45/0.64 Following clause subsumed by 1306 during input processing: 0 [copy,1306,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1319 during input processing: 0 [copy,1319,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1355 during input processing: 0 [copy,1355,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1556 during input processing: 0 [copy,1378,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.45/0.64 1385 back subsumes 1375.
% 0.45/0.64 Following clause subsumed by 1556 during input processing: 0 [copy,1416,flip.1] {-} c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 0.45/0.64 Following clause subsumed by 1556 during input processing: 0 [copy,1478,flip.1] {-} c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 0.45/0.64 Following clause subsumed by 1556 during input processing: 0 [copy,1480,flip.1] {-} c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 0.45/0.64 1487 back subsumes 1427.
% 0.45/0.64 1487 back subsumes 1227.
% 0.45/0.64 1497 back subsumes 1242.
% 0.45/0.64 Following clause subsumed by 1556 during input processing: 0 [copy,1554,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.45/0.64 Following clause subsumed by 1556 during input processing: 0 [copy,1556,flip.1] {-} A=A.
% 0.45/0.64 1556 back subsumes 1554.
% 0.45/0.64 1556 back subsumes 1480.
% 0.45/0.64 1556 back subsumes 1478.
% 0.45/0.64 1556 back subsumes 1416.
% 0.45/0.64 1556 back subsumes 1378.
% 0.45/0.64 1556 back subsumes 1246.
% 0.45/0.64 1556 back subsumes 1245.
% 0.45/0.64 1556 back subsumes 1244.
% 0.45/0.64 1556 back subsumes 1241.
% 0.45/0.64 1556 back subsumes 1238.
% 0.45/0.64 1556 back subsumes 1223.
% 0.45/0.64 1556 back subsumes 1221.
% 0.45/0.64 1556 back subsumes 1203.
% 0.45/0.64 1556 back subsumes 1138.
% 0.45/0.64 1556 back subsumes 1094.
% 0.45/0.64 1556 back subsumes 1093.
% 0.45/0.64 1556 back subsumes 1092.
% 0.45/0.64 Following clause subsumed by 1264 during input processing: 0 [copy,1561,flip.1] {-} c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1596 during input processing: 0 [copy,1564,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.45/0.64 Following clause subsumed by 1279 during input processing: 0 [copy,1565,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1292 during input processing: 0 [copy,1566,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1293 during input processing: 0 [copy,1567,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),A),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1302 during input processing: 0 [copy,1571,flip.1] {-} c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,E,C,D),c_Relation_OImage(B,E,C,D),tc_fun(D,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1303 during input processing: 0 [copy,1572,flip.1] {-} c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1589 during input processing: 0 [copy,1575,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B),B,tc_fun(A,tc_bool))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.45/0.64 Following clause subsumed by 1588 during input processing: 0 [copy,1576,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),A),tc_fun(B,tc_bool))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.45/0.64 Following clause subsumed by 1326 during input processing: 0 [copy,1577,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),C),D,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(D,tc_bool)),c_Set_Ovimage(A,C,D,B)).
% 0.45/0.64 Following clause subsumed by 1332 during input processing: 0 [copy,1578,flip.1] {-} c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D,F)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,E,C,D,F),c_Relation_Orel__comp(B,E,C,D,F),tc_fun(tc_prod(C,F),tc_bool)).
% 0.45/0.64 Following clause subsumed by 1333 during input processing: 0 [copy,1579,flip.1] {-} c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,E),tc_bool)),F,D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,F,D,E),c_Relation_Orel__comp(A,C,F,D,E),tc_fun(tc_prod(F,E),tc_bool)).
% 0.45/0.64 Following clause subsumed by 1335 during input processing: 0 [copy,1580,flip.1] {-} c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 0.45/0.64 Following clause subsumed by 1576 during input processing: 0 [copy,1588,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(B,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B),tc_fun(A,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1575 during input processing: 0 [copy,1589,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B),B,tc_fun(A,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1564 during input processing: 0 [copy,1596,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Set_Ovimage(B,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),A,C).
% 0.45/0.64 Following clause subsumed by 1360 during input processing: 0 [copy,1608,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1365 during input processing: 0 [copy,1609,flip.1] {-} c_Set_Ovimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1376 during input processing: 0 [copy,1610,flip.1] {-} c_Set_Ovimage(A,c_Set_Oinsert(B,C,D),E,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1379 during input processing: 0 [copy,1611,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1381 during input processing: 0 [copy,1612,flip.1] {-} c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1391 during input processing: 0 [copy,1613,flip.1] {-} c_Relation_ODomain(c_Transitive__Closure_Ortrancl(A,B),B,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.45/0.64 Following clause subsumed by 1399 during input processing: 0 [copy,1614,flip.1] {-} c_Relation_ORange(c_Transitive__Closure_Ortrancl(A,B),B,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.45/0.64 Following clause subsumed by 1409 during input processing: 0 [copy,1615,flip.1] {-} c_Relation_OImage(c_Relation_OId__on(A,B),C,B,B)=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(B,tc_bool)).
% 0.45/0.64 Following clause subsumed by 1494 during input processing: 0 [copy,1659,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.45/0.64 Following clause subsumed by 1495 during input processing: 0 [copy,1660,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.45/0.64
% 0.45/0.64 ======= end of input processing =======
% 0.45/0.65
% 0.45/0.65 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.65 bug in Otter. Please send copy of the input file to
% 0.45/0.65 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.65 using, and send any other info that might be useful.
% 0.45/0.65
% 0.45/0.65
% 0.45/0.65 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.65 bug in Otter. Please send copy of the input file to
% 0.45/0.65 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.65 using, and send any other info that might be useful.
% 0.45/0.65
% 0.45/0.65
% 0.45/0.65 The job finished Sat Jul 2 03:40:53 2022
%------------------------------------------------------------------------------