TSTP Solution File: SCT109+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SCT109+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 22:12:08 EDT 2022

% Result   : Unknown 0.20s 0.46s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SCT109+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n029.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 : Fri Jul  1 22:57:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.43  ----- Otter 3.2, August 2001 -----
% 0.20/0.43  The process was started by sandbox on n029.cluster.edu,
% 0.20/0.43  Fri Jul  1 22:57:24 2022
% 0.20/0.43  The command was "./sos".  The process ID is 19103.
% 0.20/0.43  
% 0.20/0.43  set(prolog_style_variables).
% 0.20/0.43  set(auto).
% 0.20/0.43     dependent: set(auto1).
% 0.20/0.43     dependent: set(process_input).
% 0.20/0.43     dependent: clear(print_kept).
% 0.20/0.43     dependent: clear(print_new_demod).
% 0.20/0.43     dependent: clear(print_back_demod).
% 0.20/0.43     dependent: clear(print_back_sub).
% 0.20/0.43     dependent: set(control_memory).
% 0.20/0.43     dependent: assign(max_mem, 12000).
% 0.20/0.43     dependent: assign(pick_given_ratio, 4).
% 0.20/0.43     dependent: assign(stats_level, 1).
% 0.20/0.43     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.43     dependent: assign(sos_limit, 5000).
% 0.20/0.43     dependent: assign(max_weight, 60).
% 0.20/0.43  clear(print_given).
% 0.20/0.43  
% 0.20/0.43  formula_list(usable).
% 0.20/0.43  
% 0.20/0.43  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.20/0.43  
% 0.20/0.43  This ia a non-Horn set with equality.  The strategy will be
% 0.20/0.43  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.43  unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.43  clauses in usable.
% 0.20/0.43  
% 0.20/0.43     dependent: set(knuth_bendix).
% 0.20/0.43     dependent: set(para_from).
% 0.20/0.43     dependent: set(para_into).
% 0.20/0.43     dependent: clear(para_from_right).
% 0.20/0.43     dependent: clear(para_into_right).
% 0.20/0.43     dependent: set(para_from_vars).
% 0.20/0.43     dependent: set(eq_units_both_ways).
% 0.20/0.43     dependent: set(dynamic_demod_all).
% 0.20/0.43     dependent: set(dynamic_demod).
% 0.20/0.43     dependent: set(order_eq).
% 0.20/0.43     dependent: set(back_demod).
% 0.20/0.43     dependent: set(lrpo).
% 0.20/0.43     dependent: set(hyper_res).
% 0.20/0.43     dependent: set(unit_deletion).
% 0.20/0.43     dependent: set(factor).
% 0.20/0.43  
% 0.20/0.43  ------------> process usable:
% 0.20/0.43    Following clause subsumed by 17 during input processing: 0 [] {-} c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 0.20/0.43    Following clause subsumed by 18 during input processing: 0 [] {-} c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 0.20/0.43    Following clause subsumed by 22 during input processing: 0 [] {-} A!=B|c_member(C,A,D)| -c_member(C,B,D).
% 0.20/0.43    Following clause subsumed by 9 during input processing: 0 [] {-} A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 0.20/0.43    Following clause subsumed by 8 during input processing: 0 [] {-} A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 0.20/0.43    Following clause subsumed by 28 during input processing: 0 [] {-} -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),A,c_Arrow__Order__Mirabelle_OLin)|B=C| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 0.20/0.43    Following clause subsumed by 36 during input processing: 0 [] {-} -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 0.20/0.43    Following clause subsumed by 41 during input processing: 0 [] {-} -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 0.20/0.43    Following clause subsumed by 48 during input processing: 0 [] {-} -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),C)|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 0.20/0.43    Following clause subsumed by 55 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Relation_Oconverse(B,A,E))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 0.20/0.43    Following clause subsumed by 56 during input processing: 0 [] {-} c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Relation_Oconverse(B,A,E))| -c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 0.20/0.43    Following clause subsumed by 54 during input processing: 0 [] {-} c_member(A,B,c_Relation_ORange(C,A,D))| -c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,E,B),D).
% 0.20/0.43    Following clause subsumed by 59 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(B,D,hAPP(F,C)).
% 0.20/0.43    Following clause subsumed by 58 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(A,C,E).
% 0.20/0.43    Following clause subsumed by 58 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(A,C,E).
% 0.20/0.43    Following clause subsumed by 59 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(B,D,hAPP(F,C)).
% 0.20/0.43    Following clause subsumed by 52 during input processing: 0 [] {-} c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))| -c_member(A,C,E)| -c_member(B,D,hAPP(F,C)).
% 0.20/0.43    Following clause subsumed by 70 during input processing: 0 [] {-} c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|B!=C| -c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 74 during input processing: 0 [] {-} -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),c_Transitive__Closure_Ortrancl(A,C))|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 0.20/0.43    Following clause subsumed by 73 during input processing: 0 [] {-} c_member(A,B,c_Relation_ODomain(A,C,D))| -c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,E),D).
% 0.20/0.43    Following clause subsumed by 103 during input processing: 0 [] {-} -c_Relation_Osingle__valued(A,B,C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,F),C)|E=F.
% 0.20/0.43    Following clause subsumed by 128 during input processing: 0 [] {-} -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 0.20/0.43    Following clause subsumed by 127 during input processing: 0 [] {-} c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 0.20/0.43    Following clause subsumed by 144 during input processing: 0 [] {-} -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 0.20/0.43    Following clause subsumed by 199 during input processing: 0 [] {-} -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 0.20/0.43    Following clause subsumed by 169 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 0.20/0.43    Following clause subsumed by 168 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 0.20/0.43    Following clause subsumed by 177 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.20/0.43    Following clause subsumed by 178 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 176 during input processing: 0 [] {-} c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)|c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 177 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.20/0.43    Following clause subsumed by 178 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 173 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C)|c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 175 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C).
% 0.20/0.43    Following clause subsumed by 174 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 175 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 0.20/0.43    Following clause subsumed by 174 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 0.20/0.43    Following clause subsumed by 170 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 172 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 0.20/0.43    Following clause subsumed by 171 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 0.20/0.43    Following clause subsumed by 171 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 0.20/0.43    Following clause subsumed by 232 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B).
% 0.20/0.43    Following clause subsumed by 231 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 0.20/0.43    Following clause subsumed by 233 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 0.20/0.43    Following clause subsumed by 236 during input processing: 0 [] {-} -c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),B).
% 0.20/0.43    Following clause subsumed by 239 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 0.20/0.43    Following clause subsumed by 240 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 0.20/0.43    Following clause subsumed by 242 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C))=c_Lattices_Osemilattice__sup__class_Osup(A,B,C).
% 0.20/0.43    Following clause subsumed by 244 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(A,C,c_Lattices_Osemilattice__sup__class_Osup(A,B,D)).
% 0.20/0.43    Following clause subsumed by 246 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 0.20/0.43    Following clause subsumed by 255 during input processing: 0 [flip.2] {-} -c_Wellfounded_Owf(A,B)|hAPP(hAPP(D,c_Recdef_Ocut(A,C,c_Recdef_Owfrec(A,C,B,D),B,E)),E)=hAPP(c_Recdef_Owfrec(A,C,B,D),E).
% 0.20/0.43    Following clause subsumed by 291 during input processing: 0 [] {-} -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 0.20/0.43    Following clause subsumed by 294 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.20/0.43    Following clause subsumed by 294 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.20/0.43    Following clause subsumed by 172 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B!=C.
% 0.20/0.43    Following clause subsumed by 316 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=C.
% 0.20/0.43    Following clause subsumed by 328 during input processing: 0 [] {-} c_member(A,B,c_Relation_OImage(C,A,D,E))| -c_member(C,F,E)| -c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,F,B),D).
% 0.20/0.43    Following clause subsumed by 332 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.20/0.44    Following clause subsumed by 333 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.44    Following clause subsumed by 332 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 332 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.20/0.44    Following clause subsumed by 333 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B)|C!=B.
% 0.20/0.44    Following clause subsumed by 332 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 337 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 336 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.44    Following clause subsumed by 337 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 337 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 332 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 367 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 368 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 367 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 336 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.44    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.20/0.44    Following clause subsumed by 372 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.20/0.44    Following clause subsumed by 367 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.20/0.44    Following clause subsumed by 367 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.20/0.44    Following clause subsumed by 368 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.44    Following clause subsumed by 374 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.20/0.44    Following clause subsumed by 378 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.20/0.44    Following clause subsumed by 333 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.44    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.20/0.44    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,B,C).
% 0.20/0.44    Following clause subsumed by 380 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|C=B|c_Orderings_Oord__class_Oless(A,B,C).
% 0.20/0.44    Following clause subsumed by 387 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C).
% 0.20/0.44    Following clause subsumed by 387 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.20/0.44    Following clause subsumed by 388 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|B=C.
% 0.20/0.44    Following clause subsumed by 389 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.20/0.44    Following clause subsumed by 377 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.20/0.44    Following clause subsumed by 395 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.20/0.44    Following clause subsumed by 399 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.20/0.44    Following clause subsumed by 377 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B)|C!=B.
% 0.20/0.44    Following clause subsumed by 399 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.20/0.44    Following clause subsumed by 399 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.20/0.44    Following clause subsumed by 395 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.20/0.44    Following clause subsumed by 397 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.20/0.44    Following clause subsumed by 366 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 0.20/0.44    Following clause subsumed by 366 during input processing: 0 [] {-} -c_member(A,B,C)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D)|c_member(A,B,D).
% 0.20/0.44    Following clause subsumed by 366 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 0.20/0.44    Following clause subsumed by 414 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,D,C)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,D),C).
% 0.20/0.44    Following clause subsumed by 411 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.20/0.44    Following clause subsumed by 412 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.20/0.44    Following clause subsumed by 414 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)| -c_Orderings_Oord__class_Oless__eq(A,B,D)| -c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.20/0.44    Following clause subsumed by 416 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=C.
% 0.20/0.44    Following clause subsumed by 429 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=C.
% 0.20/0.44    Following clause subsumed by 389 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.20/0.44    Following clause subsumed by 365 during input processing: 0 [] {-} A=B| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.20/0.44    Following clause subsumed by 389 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.20/0.44    Following clause subsumed by 433 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.20/0.44    Following clause subsumed by 389 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.20/0.44    Following clause subsumed by 433 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.20/0.44    Following clause subsumed by 435 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 0.20/0.44    Following clause subsumed by 425 during input processing: 0 [] {-} c_member(A,B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D).
% 0.20/0.44    Following clause subsumed by 447 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.20/0.44    Following clause subsumed by 425 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.20/0.44    Following clause subsumed by 425 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.20/0.44    Following clause subsumed by 456 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_member(A,C,B)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D)).
% 0.20/0.44    Following clause subsumed by 489 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,C)=B.
% 0.20/0.44    Following clause subsumed by 493 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D)|c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D)).
% 0.20/0.44    Following clause subsumed by 493 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D)|c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D)).
% 0.20/0.44    Following clause subsumed by 491 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.20/0.45    Following clause subsumed by 492 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.20/0.45  135 back subsumes 134.
% 0.20/0.45  145 back subsumes 78.
% 0.20/0.45    Following clause subsumed by 310 during input processing: 0 [copy,309,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))!=c_Set_Oinsert(A,B,C).
% 0.20/0.45    Following clause subsumed by 309 during input processing: 0 [copy,310,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.20/0.45  
% 0.20/0.45  ------------> process sos:
% 0.20/0.45    Following clause subsumed by 636 during input processing: 0 [demod,727] {-} c_Relation_Oantisym(A,c_Relation_OId__on(A,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 0.20/0.45    Following clause subsumed by 762 during input processing: 0 [] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),D).
% 0.20/0.45    Following clause subsumed by 799 during input processing: 0 [copy,600,flip.1] {-} c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 0.20/0.45  603 back subsumes 528.
% 0.20/0.45    Following clause subsumed by 648 during input processing: 0 [copy,648,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,B).
% 0.20/0.45    Following clause subsumed by 655 during input processing: 0 [copy,655,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 0.20/0.45    Following clause subsumed by 659 during input processing: 0 [copy,659,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,D)).
% 0.20/0.45  767 back subsumes 570.
% 0.20/0.45  767 back subsumes 569.
% 0.20/0.45  767 back subsumes 565.
% 0.20/0.45  767 back subsumes 554.
% 0.20/0.45    Following clause subsumed by 799 during input processing: 0 [copy,799,flip.1] {-} A=A.
% 0.20/0.45  799 back subsumes 600.
% 0.20/0.45  799 back subsumes 558.
% 0.20/0.45  799 back subsumes 556.
% 0.20/0.45  799 back subsumes 552.
% 0.20/0.45  799 back subsumes 551.
% 0.20/0.45  799 back subsumes 548.
% 0.20/0.45  799 back subsumes 547.
% 0.20/0.45  799 back subsumes 546.
% 0.20/0.45  799 back subsumes 536.
% 0.20/0.45  799 back subsumes 535.
% 0.20/0.45  799 back subsumes 531.
% 0.20/0.45  799 back subsumes 530.
% 0.20/0.45  799 back subsumes 529.
% 0.20/0.45  799 back subsumes 526.
% 0.20/0.45    Following clause subsumed by 575 during input processing: 0 [copy,800,flip.1] {-} c_Product__Type_Oprod_Oprod__rec(A,B,C,D,c_Product__Type_OPair(A,B,E,F))=hAPP(hAPP(D,E),F).
% 0.20/0.45    Following clause subsumed by 576 during input processing: 0 [copy,801,flip.1] {-} c_Product__Type_Ointernal__split(A,B,C,D,c_Product__Type_OPair(A,B,E,F))=hAPP(hAPP(D,E),F).
% 0.20/0.45    Following clause subsumed by 578 during input processing: 0 [copy,802,flip.1] {-} c_Product__Type_Ocurry(A,B,C,D,E,F)=hAPP(D,c_Product__Type_OPair(A,B,E,F)).
% 0.20/0.45    Following clause subsumed by 665 during input processing: 0 [copy,808,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D)).
% 0.20/0.45    Following clause subsumed by 684 during input processing: 0 [copy,809,flip.1] {-} c_Relation_Oconverse(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(B,A),tc_HOL_Obool),c_Relation_Oconverse(A,B,C),c_Relation_Oconverse(A,B,D)).
% 0.20/0.45    Following clause subsumed by 700 during input processing: 0 [copy,810,flip.1] {-} c_Relation_OField(A,B)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Relation_ODomain(A,A,B),c_Relation_ORange(A,A,B)).
% 0.20/0.45    Following clause subsumed by 707 during input processing: 0 [copy,811,flip.1] {-} c_Relation_OField(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),c_Relation_OField(A,D)).
% 0.20/0.45    Following clause subsumed by 724 during input processing: 0 [copy,815,flip.1] {-} c_Product__Type_OSigma(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)).
% 0.20/0.45    Following clause subsumed by 731 during input processing: 0 [copy,823,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.20/0.45    Following clause subsumed by 745 during input processing: 0 [copy,824,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))),C).
% 0.20/0.45    Following clause subsumed by 746 during input processing: 0 [copy,825,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,D),c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 0.20/0.45    Following clause subsumed by 747 during input processing: 0 [copy,826,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D).
% 0.20/0.45    Following clause subsumed by 756 during input processing: 0 [copy,853,flip.1] {-} c_Relation_OImage(A,B,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool)).
% 0.20/0.45    Following clause subsumed by 760 during input processing: 0 [copy,854,flip.1] {-} c_Relation_OImage(A,B,C,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,E))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool),c_Relation_OImage(A,B,C,D),c_Relation_OImage(A,B,C,E)).
% 0.20/0.45    Following clause subsumed by 761 during input processing: 0 [copy,855,flip.1] {-} c_Relation_OImage(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D),E)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool),c_Relation_OImage(A,B,C,E),c_Relation_OImage(A,B,D,E)).
% 0.20/0.45  
% 0.20/0.45  ======= end of input processing =======
% 0.20/0.45  
% 0.20/0.45  SEGMENTATION FAULT!!  This is probably caused by a
% 0.20/0.45  bug in Otter.  Please send copy of the input file to
% 0.20/0.45  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.20/0.45  using, and send any other info that might be useful.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  SEGMENTATION FAULT!!  This is probably caused by a
% 0.20/0.45  bug in Otter.  Please send copy of the input file to
% 0.20/0.45  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.20/0.45  using, and send any other info that might be useful.
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  The job finished Fri Jul  1 22:57:24 2022
%------------------------------------------------------------------------------