TSTP Solution File: SWV879-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV879-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n015.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 21:40:31 EDT 2022

% Result   : Unknown 0.49s 0.74s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV879-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n015.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 : Wed Jun 15 02:08:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.47  ----- Otter 3.2, August 2001 -----
% 0.18/0.47  The process was started by sandbox on n015.cluster.edu,
% 0.18/0.47  Wed Jun 15 02:08:24 2022
% 0.18/0.47  The command was "./sos".  The process ID is 28579.
% 0.18/0.47  
% 0.18/0.47  set(prolog_style_variables).
% 0.18/0.47  set(auto).
% 0.18/0.47     dependent: set(auto1).
% 0.18/0.47     dependent: set(process_input).
% 0.18/0.47     dependent: clear(print_kept).
% 0.18/0.47     dependent: clear(print_new_demod).
% 0.18/0.47     dependent: clear(print_back_demod).
% 0.18/0.47     dependent: clear(print_back_sub).
% 0.18/0.47     dependent: set(control_memory).
% 0.18/0.47     dependent: assign(max_mem, 12000).
% 0.18/0.47     dependent: assign(pick_given_ratio, 4).
% 0.18/0.47     dependent: assign(stats_level, 1).
% 0.18/0.47     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.47     dependent: assign(sos_limit, 5000).
% 0.18/0.47     dependent: assign(max_weight, 60).
% 0.18/0.47  clear(print_given).
% 0.18/0.47  
% 0.18/0.47  list(usable).
% 0.18/0.47  
% 0.18/0.47  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.47  
% 0.18/0.47  This ia a non-Horn set with equality.  The strategy will be
% 0.18/0.47  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.47  unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.47  clauses in usable.
% 0.18/0.47  
% 0.18/0.47     dependent: set(knuth_bendix).
% 0.18/0.47     dependent: set(para_from).
% 0.18/0.47     dependent: set(para_into).
% 0.18/0.47     dependent: clear(para_from_right).
% 0.18/0.47     dependent: clear(para_into_right).
% 0.18/0.47     dependent: set(para_from_vars).
% 0.18/0.47     dependent: set(eq_units_both_ways).
% 0.18/0.47     dependent: set(dynamic_demod_all).
% 0.18/0.47     dependent: set(dynamic_demod).
% 0.18/0.47     dependent: set(order_eq).
% 0.18/0.47     dependent: set(back_demod).
% 0.18/0.47     dependent: set(lrpo).
% 0.18/0.47     dependent: set(hyper_res).
% 0.18/0.47     dependent: set(unit_deletion).
% 0.18/0.47     dependent: set(factor).
% 0.18/0.47  
% 0.18/0.47  ------------> process usable:
% 0.18/0.47    Following clause subsumed by 10 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 0.18/0.47    Following clause subsumed by 12 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.
% 0.18/0.47    Following clause subsumed by 23 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D),A)| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 24 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D),A)| -c_lessequals(B,D,A).
% 0.18/0.47    Following clause subsumed by 21 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),D),C,A).
% 0.18/0.47    Following clause subsumed by 22 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(A),D),B),C,A).
% 0.18/0.47    Following clause subsumed by 31 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.18/0.47    Following clause subsumed by 34 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lessequals(B,D,A).
% 0.18/0.47    Following clause subsumed by 35 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lessequals(C,D,A).
% 0.18/0.47    Following clause subsumed by 32 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A).
% 0.18/0.47    Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C),A).
% 0.18/0.47    Following clause subsumed by 37 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).
% 0.18/0.47    Following clause subsumed by 43 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.18/0.47    Following clause subsumed by 53 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.18/0.47    Following clause subsumed by 53 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.47    Following clause subsumed by 53 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.47    Following clause subsumed by 60 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.47    Following clause subsumed by 76 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 76 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 79 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lessequals(A,D,tc_fun(B,tc_bool))| -c_lessequals(A,C,tc_fun(B,tc_bool)).
% 0.18/0.47    Following clause subsumed by 88 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.18/0.47    Following clause subsumed by 123 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.18/0.47    Following clause subsumed by 124 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.47    Following clause subsumed by 131 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.47    Following clause subsumed by 131 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.47    Following clause subsumed by 138 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 138 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 134 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).
% 0.18/0.47    Following clause subsumed by 145 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)).
% 0.18/0.47    Following clause subsumed by 154 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.18/0.47    Following clause subsumed by 156 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).
% 0.18/0.47    Following clause subsumed by 171 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)).
% 0.18/0.47    Following clause subsumed by 171 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)).
% 0.18/0.47    Following clause subsumed by 46 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 0.18/0.47    Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.18/0.47    Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.47    Following clause subsumed by 187 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.47    Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.18/0.47    Following clause subsumed by 204 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 0.18/0.47    Following clause subsumed by 205 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.18/0.47    Following clause subsumed by 211 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.18/0.47    Following clause subsumed by 213 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.18/0.47    Following clause subsumed by 213 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.18/0.47    Following clause subsumed by 214 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 212 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.18/0.47    Following clause subsumed by 214 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 214 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.18/0.47    Following clause subsumed by 215 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.18/0.47    Following clause subsumed by 221 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)).
% 0.18/0.47    Following clause subsumed by 221 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)).
% 0.18/0.47    Following clause subsumed by 229 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.47    Following clause subsumed by 300 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.18/0.47    Following clause subsumed by 301 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 0.18/0.47    Following clause subsumed by 314 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 0.18/0.47    Following clause subsumed by 315 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 0.18/0.48    Following clause subsumed by 343 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.48    Following clause subsumed by 345 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 0.18/0.48    Following clause subsumed by 421 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.18/0.48    Following clause subsumed by 421 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -c_lessequals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 0.18/0.48    Following clause subsumed by 421 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.18/0.48    Following clause subsumed by 430 during input processing: 0 [] {-} c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Set_Oimage(B,D,A,C),C,A)=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 0.18/0.48    Following clause subsumed by 443 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.48    Following clause subsumed by 443 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.48    Following clause subsumed by 446 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lessequals(C,D,tc_fun(A,tc_bool))| -c_lessequals(B,D,tc_fun(A,tc_bool)).
% 0.18/0.48    Following clause subsumed by 464 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.18/0.48    Following clause subsumed by 464 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.18/0.48    Following clause subsumed by 464 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 0.18/0.48    Following clause subsumed by 467 during input processing: 0 [] {-} hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 0.18/0.48    Following clause subsumed by 468 during input processing: 0 [] {-} hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 0.18/0.48    Following clause subsumed by 469 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 0.18/0.48    Following clause subsumed by 469 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 0.18/0.48    Following clause subsumed by 470 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 0.18/0.48    Following clause subsumed by 473 during input processing: 0 [] {-} hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 0.18/0.48    Following clause subsumed by 476 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lessequals(A,C,tc_fun(B,tc_bool)).
% 0.18/0.48    Following clause subsumed by 480 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).
% 0.18/0.48    Following clause subsumed by 513 during input processing: 0 [] {-} c_lessequals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lessequals(B,E,tc_fun(C,tc_bool)).
% 0.18/0.49    Following clause subsumed by 516 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.18/0.49    Following clause subsumed by 510 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(c_in(B,A,D)).
% 0.18/0.49    Following clause subsumed by 510 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(c_in(B,A,D)).
% 0.18/0.49    Following clause subsumed by 524 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(c_in(D,A,C)).
% 0.18/0.49    Following clause subsumed by 538 during input processing: 0 [] {-} -hBOOL(c_in(A,B,C))| -c_Fun_Oinj__on(D,B,C,E)|hAPP(c_Hilbert__Choice_Oinv__into(B,D,C,E),hAPP(D,A))=A.
% 0.18/0.49    Following clause subsumed by 557 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.18/0.49    Following clause subsumed by 558 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.49    Following clause subsumed by 558 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.18/0.49    Following clause subsumed by 574 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 0.18/0.49    Following clause subsumed by 575 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 0.18/0.49    Following clause subsumed by 584 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.18/0.49    Following clause subsumed by 587 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),hAPP(A,D))=D.
% 0.18/0.49    Following clause subsumed by 638 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 0.18/0.49    Following clause subsumed by 639 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.18/0.49    Following clause subsumed by 639 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.18/0.49    Following clause subsumed by 639 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.18/0.49    Following clause subsumed by 639 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.18/0.49    Following clause subsumed by 651 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 0.18/0.49    Following clause subsumed by 663 during input processing: 0 [] {-} -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 0.18/0.49    Following clause subsumed by 663 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 0.18/0.49    Following clause subsumed by 663 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 0.18/0.49  221 back subsumes 6.
% 0.18/0.49  222 back subsumes 5.
% 0.18/0.49  348 back subsumes 247.
% 0.18/0.49  483 back subsumes 481.
% 0.18/0.49  510 back subsumes 502.
% 0.18/0.49  513 back subsumes 459.
% 0.18/0.49  593 back subsumes 503.
% 0.18/0.49    Following clause subsumed by 651 during input processing: 0 [copy,640,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.49    Following clause subsumed by 640 during input processing: 0 [copy,651,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.18/0.49  651 back subsumes 635.
% 0.18/0.49  662 back subsumes 477.
% 0.18/0.49  663 back subsumes 490.
% 0.18/0.49  
% 0.18/0.49  ------------> process sos:
% 0.18/0.49    Following clause subsumed by 768 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.18/0.50    Following clause subsumed by 768 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.18/0.50    Following clause subsumed by 769 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.18/0.50    Following clause subsumed by 780 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.18/0.50    Following clause subsumed by 780 during input processing: 0 [] {-} c_lessequals(c_Suc(A),c_Suc(A),tc_nat).
% 0.18/0.50    Following clause subsumed by 769 during input processing: 0 [unit_del,43] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.18/0.50    Following clause subsumed by 904 during input processing: 0 [demod,902] {-} C=C.
% 0.18/0.50    Following clause subsumed by 904 during input processing: 0 [demod,900] {-} A=A.
% 0.18/0.50    Following clause subsumed by 908 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.18/0.50    Following clause subsumed by 912 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.18/0.50    Following clause subsumed by 904 during input processing: 0 [demod,874,861] {-} c_Set_Oinsert(A,B,C)=c_Set_Oinsert(A,B,C).
% 0.18/0.50    Following clause subsumed by 945 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.18/0.50    Following clause subsumed by 945 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.18/0.50    Following clause subsumed by 946 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).
% 0.18/0.50    Following clause subsumed by 904 during input processing: 0 [] {-} A=A.
% 0.18/0.50    Following clause subsumed by 762 during input processing: 0 [copy,762,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 0.18/0.50    Following clause subsumed by 788 during input processing: 0 [copy,788,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 0.18/0.50    Following clause subsumed by 826 during input processing: 0 [copy,826,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 0.18/0.50    Following clause subsumed by 839 during input processing: 0 [copy,839,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 0.18/0.50    Following clause subsumed by 904 during input processing: 0 [copy,854,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.18/0.50  865 back subsumes 855.
% 0.18/0.50    Following clause subsumed by 904 during input processing: 0 [copy,904,flip.1] {-} A=A.
% 0.18/0.50  904 back subsumes 854.
% 0.18/0.50  904 back subsumes 749.
% 0.18/0.50  904 back subsumes 744.
% 0.18/0.50  904 back subsumes 739.
% 0.18/0.50  904 back subsumes 738.
% 0.18/0.50  904 back subsumes 737.
% 0.18/0.50  904 back subsumes 731.
% 0.18/0.50  904 back subsumes 692.
% 0.18/0.50  904 back subsumes 691.
% 0.18/0.50  904 back subsumes 690.
% 0.18/0.50  908 back subsumes 719.
% 0.18/0.50    Following clause subsumed by 948 during input processing: 0 [copy,931,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.18/0.50  945 back subsumes 935.
% 0.18/0.50    Following clause subsumed by 946 during input processing: 0 [copy,946,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.18/0.50    Following clause subsumed by 948 during input processing: 0 [copy,947,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.18/0.50  947 back subsumes 931.
% 0.18/0.50    Following clause subsumed by 947 during input processing: 0 [copy,948,flip.1] {-} c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.50    Following clause subsumed by 775 during input processing: 0 [copy,989,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 0.18/0.50    Following clause subsumed by 784 during input processing: 0 [copy,995,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 0.18/0.50    Following clause subsumed by 794 during input processing: 0 [copy,996,flip.1] {-} c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.18/0.50    Following clause subsumed by 798 during input processing: 0 [copy,997,flip.1] {-} c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 0.18/0.50    Following clause subsumed by 803 during input processing: 0 [copy,998,flip.1] {-} c_Finite__Set_Ocard(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.18/0.50    Following clause subsumed by 809 during input processing: 0 [copy,999,flip.1] {-} c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 0.18/0.50    Following clause subsumed by 823 during input processing: 0 [copy,1000,flip.1] {-} c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 0.18/0.50    Following clause subsumed by 852 during input processing: 0 [copy,1016,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)).
% 0.18/0.50    Following clause subsumed by 862 during input processing: 0 [copy,1017,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.18/0.50    Following clause subsumed by 875 during input processing: 0 [copy,1020,flip.1] {-} c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)).
% 0.18/0.50    Following clause subsumed by 879 during input processing: 0 [copy,1021,flip.1] {-} c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.18/0.50    Following clause subsumed by 883 during input processing: 0 [copy,1026,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 0.18/0.50    Following clause subsumed by 909 during input processing: 0 [copy,1028,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 0.18/0.50    Following clause subsumed by 916 during input processing: 0 [copy,1029,flip.1] {-} c_fequal(A,B)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.18/0.50    Following clause subsumed by 918 during input processing: 0 [copy,1030,flip.1] {-} c_Set_Oinsert(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),D)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D).
% 0.18/0.50    Following clause subsumed by 922 during input processing: 0 [copy,1031,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.18/0.50    Following clause subsumed by 923 during input processing: 0 [copy,1032,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 0.18/0.50  
% 0.18/0.50  ======= end of input processing =======
% 0.49/0.74  
% 0.49/0.74  
% 0.49/0.74  
% 0.49/0.74   Aborting on detection of an error:
% 0.49/0.74  
% 0.49/0.74   Too many clauses (whew!).
% 0.49/0.74  
%------------------------------------------------------------------------------