TSTP Solution File: SWW478+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWW478+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 : Thu Jul 21 01:27:04 EDT 2022

% Result   : Theorem 0.90s 1.09s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWW478+3 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun  4 11:34:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.78/0.98  ----- Otter 3.2, August 2001 -----
% 0.78/0.98  The process was started by sandbox on n028.cluster.edu,
% 0.78/0.98  Sat Jun  4 11:34:11 2022
% 0.78/0.98  The command was "./sos".  The process ID is 26389.
% 0.78/0.98  
% 0.78/0.98  set(prolog_style_variables).
% 0.78/0.98  set(auto).
% 0.78/0.98     dependent: set(auto1).
% 0.78/0.98     dependent: set(process_input).
% 0.78/0.98     dependent: clear(print_kept).
% 0.78/0.98     dependent: clear(print_new_demod).
% 0.78/0.98     dependent: clear(print_back_demod).
% 0.78/0.98     dependent: clear(print_back_sub).
% 0.78/0.98     dependent: set(control_memory).
% 0.78/0.98     dependent: assign(max_mem, 12000).
% 0.78/0.98     dependent: assign(pick_given_ratio, 4).
% 0.78/0.98     dependent: assign(stats_level, 1).
% 0.78/0.98     dependent: assign(pick_semantic_ratio, 3).
% 0.78/0.98     dependent: assign(sos_limit, 5000).
% 0.78/0.98     dependent: assign(max_weight, 60).
% 0.78/0.98  clear(print_given).
% 0.78/0.98  
% 0.78/0.98  formula_list(usable).
% 0.78/0.98  
% 0.78/0.98  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.78/0.98  
% 0.78/0.98  This ia a non-Horn set with equality.  The strategy will be
% 0.78/0.98  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.78/0.98  unit deletion, with positive clauses in sos and nonpositive
% 0.78/0.98  clauses in usable.
% 0.78/0.98  
% 0.78/0.98     dependent: set(knuth_bendix).
% 0.78/0.98     dependent: set(para_from).
% 0.78/0.98     dependent: set(para_into).
% 0.78/0.98     dependent: clear(para_from_right).
% 0.78/0.98     dependent: clear(para_into_right).
% 0.78/0.98     dependent: set(para_from_vars).
% 0.78/0.98     dependent: set(eq_units_both_ways).
% 0.78/0.98     dependent: set(dynamic_demod_all).
% 0.78/0.98     dependent: set(dynamic_demod).
% 0.78/0.98     dependent: set(order_eq).
% 0.78/0.98     dependent: set(back_demod).
% 0.78/0.98     dependent: set(lrpo).
% 0.78/0.98     dependent: set(hyper_res).
% 0.78/0.98     dependent: set(unit_deletion).
% 0.78/0.98     dependent: set(factor).
% 0.78/0.98  
% 0.78/0.98  ------------> process usable:
% 0.78/0.98    Following clause subsumed by 51 during input processing: 0 [] {-} hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B)!=hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,C),D)|A=C.
% 0.78/0.98    Following clause subsumed by 52 during input processing: 0 [] {-} hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,A),B)!=hAPP_t1875766236har_ty(hAPP_l1948972481har_ty(produc251930284har_ty,C),D)|B=D.
% 0.78/0.98    Following clause subsumed by 53 during input processing: 0 [] {-} hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)!=hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,C),D)|A=C.
% 0.78/0.98    Following clause subsumed by 54 during input processing: 0 [] {-} hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,A),B)!=hAPP_t708040077har_ty(hAPP_P827589667har_ty(produc1265154397har_ty,C),D)|B=D.
% 0.78/0.98    Following clause subsumed by 55 during input processing: 0 [] {-} hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B)!=hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,C),D)|A=C.
% 0.78/0.98    Following clause subsumed by 56 during input processing: 0 [] {-} hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,A),B)!=hAPP_P242904598t_char(hAPP_l1388836853t_char(produc1331140167t_char,C),D)|B=D.
% 0.78/0.98    Following clause subsumed by 57 during input processing: 0 [] {-} hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B)!=hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,C),D)|A=C.
% 0.78/0.98    Following clause subsumed by 58 during input processing: 0 [] {-} hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,A),B)!=hAPP_P1342907945t_char(hAPP_P91410073t_char(produc1897818327t_char,C),D)|B=D.
% 0.78/0.98    Following clause subsumed by 59 during input processing: 0 [] {-} hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B)!=hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,C),D)|A=C.
% 0.78/0.98    Following clause subsumed by 60 during input processing: 0 [] {-} hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,A),B)!=hAPP_P1247668062t_char(hAPP_P1756548163t_char(produc635935767t_char,C),D)|B=D.
% 0.78/0.98    Following clause subsumed by 61 during input processing: 0 [] {-} hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B)!=hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 62 during input processing: 0 [] {-} hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,A),B)!=hAPP_P579374437t_char(hAPP_P777914897t_char(produc1431439831t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 63 during input processing: 0 [] {-} hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B)!=hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 64 during input processing: 0 [] {-} hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,A),B)!=hAPP_P991802092t_char(hAPP_P1958775007t_char(produc1641293463t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 65 during input processing: 0 [] {-} hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B)!=hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 66 during input processing: 0 [] {-} hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,A),B)!=hAPP_P1220989409t_char(hAPP_P1668407995t_char(produc1299387215t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 67 during input processing: 0 [] {-} hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B)!=hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 68 during input processing: 0 [] {-} hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,A),B)!=hAPP_P1333668416t_char(hAPP_P1859316965t_char(produc57279289t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 69 during input processing: 0 [] {-} hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B)!=hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 70 during input processing: 0 [] {-} hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,A),B)!=hAPP_P1539798428t_char(hAPP_P719127871t_char(produc24551831t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 71 during input processing: 0 [] {-} hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B)!=hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 72 during input processing: 0 [] {-} hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,A),B)!=hAPP_P1758592847on_val(hAPP_P2015431471on_val(produc1951691075on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 73 during input processing: 0 [] {-} hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B)!=hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 74 during input processing: 0 [] {-} hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,A),B)!=hAPP_P47773639al_val(hAPP_P1874979071al_val(produc1244920211al_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 75 during input processing: 0 [] {-} hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B)!=hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 76 during input processing: 0 [] {-} hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,A),B)!=hAPP_P2123720426al_val(hAPP_P1538518401al_val(produc1924279125al_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 77 during input processing: 0 [] {-} hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B)!=hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 78 during input processing: 0 [] {-} hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,A),B)!=hAPP_P1657265855t_char(hAPP_P1071727823t_char(produc2080520419t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 79 during input processing: 0 [] {-} hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B)!=hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 80 during input processing: 0 [] {-} hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,A),B)!=hAPP_P330218428on_val(hAPP_P1875010047on_val(produc499151895on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 81 during input processing: 0 [] {-} hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B)!=hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 82 during input processing: 0 [] {-} hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,A),B)!=hAPP_P291613419on_val(hAPP_P265246237on_val(produc870913623on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 83 during input processing: 0 [] {-} hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B)!=hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 84 during input processing: 0 [] {-} hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,A),B)!=hAPP_P1486793863on_val(hAPP_P2077211775on_val(produc1564932627on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 85 during input processing: 0 [] {-} hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),B)!=hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 86 during input processing: 0 [] {-} hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,A),B)!=hAPP_l1648260346t_char(hAPP_l1105836155t_char(produc1237966615t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 87 during input processing: 0 [] {-} hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),B)!=hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 88 during input processing: 0 [] {-} hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,A),B)!=hAPP_e817857447t_char(hAPP_e1376201919t_char(produc943465171t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 89 during input processing: 0 [] {-} hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),B)!=hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 90 during input processing: 0 [] {-} hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,A),B)!=hAPP_l1883348915t_char(hAPP_l2019537453t_char(produc2035944023t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 91 during input processing: 0 [] {-} hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),B)!=hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 92 during input processing: 0 [] {-} hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,A),B)!=hAPP_l1294856089har_ty(hAPP_l1657578379har_ty(produc1860789535har_ty,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 93 during input processing: 0 [] {-} hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A),B)!=hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 94 during input processing: 0 [] {-} hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,A),B)!=hAPP_l1334098948t_char(hAPP_l1450984463t_char(produc436875159t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 95 during input processing: 0 [] {-} hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),B)!=hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 96 during input processing: 0 [] {-} hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,A),B)!=hAPP_l1249476511st_val(hAPP_l103437071st_val(produc2078839843st_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 97 during input processing: 0 [] {-} hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),B)!=hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 98 during input processing: 0 [] {-} hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,A),B)!=hAPP_l1319068228ist_ty(hAPP_l1770520637ist_ty(produc512429457ist_ty,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 99 during input processing: 0 [] {-} -is_bop(A)| -is_bop(B)| -is_bop(C)| -is_bop(D)|hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),B)!=hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 100 during input processing: 0 [] {-} -is_bop(A)| -is_bop(B)| -is_bop(C)| -is_bop(D)|hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,A),B)!=hAPP_b1909667208op_bop(hAPP_b1058859669op_bop(product_Pair_bop_bop,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 101 during input processing: 0 [] {-} hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B)!=hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 102 during input processing: 0 [] {-} hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,A),B)!=hAPP_f1146435765on_val(hAPP_f1744304433on_val(produc1618304727on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 103 during input processing: 0 [] {-} hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B)!=hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 104 during input processing: 0 [] {-} hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,A),B)!=hAPP_f368284312on_val(hAPP_f1805337205on_val(produc1712663241on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 105 during input processing: 0 [] {-} hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B)!=hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 106 during input processing: 0 [] {-} hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,A),B)!=hAPP_f1741070310on_val(hAPP_f864891091on_val(produc1960514199on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 107 during input processing: 0 [] {-} hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)!=hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 108 during input processing: 0 [] {-} hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,A),B)!=hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 109 during input processing: 0 [] {-} hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)!=hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 110 during input processing: 0 [] {-} hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,A),B)!=hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 111 during input processing: 0 [] {-} hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)!=hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 112 during input processing: 0 [] {-} hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,A),B)!=hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 113 during input processing: 0 [] {-} hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)!=hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 114 during input processing: 0 [] {-} hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,A),B)!=hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 115 during input processing: 0 [] {-} hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)!=hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 116 during input processing: 0 [] {-} hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,A),B)!=hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 117 during input processing: 0 [] {-} -is_bop(A)| -is_bop(B)|hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),C)!=hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B),D)|A=B.
% 0.78/0.99    Following clause subsumed by 118 during input processing: 0 [] {-} -is_bop(A)| -is_bop(B)|hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,A),C)!=hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B),D)|C=D.
% 0.78/0.99    Following clause subsumed by 119 during input processing: 0 [] {-} hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)!=hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 120 during input processing: 0 [] {-} hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,A),B)!=hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 121 during input processing: 0 [] {-} hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)!=hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 122 during input processing: 0 [] {-} hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,A),B)!=hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 123 during input processing: 0 [] {-} hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)!=hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 124 during input processing: 0 [] {-} hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,A),B)!=hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 125 during input processing: 0 [] {-} hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)!=hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 126 during input processing: 0 [] {-} hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,A),B)!=hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 127 during input processing: 0 [] {-} hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)!=hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 128 during input processing: 0 [] {-} hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,A),B)!=hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 129 during input processing: 0 [] {-} hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)!=hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 130 during input processing: 0 [] {-} hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,A),B)!=hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 131 during input processing: 0 [] {-} hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)!=hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 132 during input processing: 0 [] {-} hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,A),B)!=hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,C),D)|B=D.
% 0.78/0.99    Following clause subsumed by 133 during input processing: 0 [] {-} hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)!=hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C),D)|A=C.
% 0.78/0.99    Following clause subsumed by 134 during input processing: 0 [] {-} hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,A),B)!=hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,C),D)|B=D.
% 0.78/1.00    Following clause subsumed by 135 during input processing: 0 [] {-} hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)!=hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C),D)|A=C.
% 0.78/1.00    Following clause subsumed by 136 during input processing: 0 [] {-} hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,A),B)!=hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,C),D)|B=D.
% 0.78/1.00    Following clause subsumed by 137 during input processing: 0 [] {-} hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)!=hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,C),D)|A=C.
% 0.78/1.00    Following clause subsumed by 138 during input processing: 0 [] {-} hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,A),B)!=hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,C),D)|B=D.
% 0.78/1.00    Following clause subsumed by 271 during input processing: 0 [] {-} A!=B|hAPP_l207779698on_val(fun_up1149430426on_val(C,B,D),A)=D.
% 0.78/1.00    Following clause subsumed by 272 during input processing: 0 [] {-} A!=B|hAPP_l512744617ion_ty(fun_up424764369ion_ty(C,B,D),A)=D.
% 0.78/1.00    Following clause subsumed by 273 during input processing: 0 [] {-} A!=B|hAPP_n546249108on_val(fun_up2041264236on_val(C,B,D),A)=D.
% 0.78/1.00    Following clause subsumed by 274 during input processing: 0 [] {-} A!=B|hAPP_P2094403585on_val(fun_up204312361on_val(C,B,D),A)=D.
% 0.78/1.00    Following clause subsumed by 275 during input processing: 0 [] {-} fun_up1149430426on_val(A,B,C)=A|hAPP_l207779698on_val(A,B)!=C.
% 0.78/1.00    Following clause subsumed by 276 during input processing: 0 [] {-} fun_up424764369ion_ty(A,B,C)=A|hAPP_l512744617ion_ty(A,B)!=C.
% 0.78/1.00    Following clause subsumed by 277 during input processing: 0 [] {-} fun_up2041264236on_val(A,B,C)=A|hAPP_n546249108on_val(A,B)!=C.
% 0.78/1.00    Following clause subsumed by 278 during input processing: 0 [] {-} fun_up204312361on_val(A,B,C)=A|hAPP_P2094403585on_val(A,B)!=C.
% 0.78/1.00    Following clause subsumed by 528 during input processing: 0 [] {-} -hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(A,B),C))|hBOOL(hAPP_P2014166431r_bool(hAPP_f1484794973r_bool(produc1732333873r_bool,A),hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 529 during input processing: 0 [] {-} -hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(A,B),C))|hBOOL(hAPP_P828904212r_bool(hAPP_f895126887r_bool(produc1596557472r_bool,A),hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 530 during input processing: 0 [] {-} -hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(A,B),C))|hBOOL(hAPP_P659547099r_bool(hAPP_f252398939r_bool(produc1324280167r_bool,A),hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 531 during input processing: 0 [] {-} -hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(A,B),C))|hBOOL(hAPP_P1680401186r_bool(hAPP_f952817385r_bool(produc723279022r_bool,A),hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 532 during input processing: 0 [] {-} -hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(A,B),C))|hBOOL(hAPP_P2118621157r_bool(hAPP_f1697332217r_bool(produc21910851r_bool,A),hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 533 during input processing: 0 [] {-} -hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(A,B),C))|hBOOL(hAPP_P1907982426r_bool(hAPP_f102021095r_bool(produc154616760r_bool,A),hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 534 during input processing: 0 [] {-} -hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(A,B),C))|hBOOL(hAPP_P92196306r_bool(hAPP_f1613448899r_bool(produc2027921764r_bool,A),hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 535 during input processing: 0 [] {-} -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(A,B),C))|hBOOL(hAPP_P71593144l_bool(hAPP_f1634841927l_bool(produc1491230096l_bool,A),hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 536 during input processing: 0 [] {-} -hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(A,B),C))|hBOOL(hAPP_P1333315679l_bool(hAPP_f1525114763l_bool(produc70644925l_bool,A),hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(A,B),C))|hBOOL(hAPP_P929938951l_bool(hAPP_f1534412387l_bool(produc769963999l_bool,A),hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C))).
% 0.78/1.00    Following clause subsumed by 538 during input processing: 0 [] {-} -hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(A,B),C))|hBOOL(hAPP_P943837928l_bool(hAPP_f340876351l_bool(produc1326056646l_bool,A),hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B),C))).
% 0.78/1.00    Following clause subsumed by 539 during input processing: 0 [] {-} -hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(A,B),C))|hBOOL(hAPP_P449474095r_bool(hAPP_f2132060507r_bool(produc1704639885r_bool,A),hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 540 during input processing: 0 [] {-} -hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(A,B),C))|hBOOL(hAPP_P1235399154l_bool(hAPP_f1443410953l_bool(produc392960766l_bool,A),hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 541 during input processing: 0 [] {-} -hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(A,B),C))|hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,A),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 542 during input processing: 0 [] {-} -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(A,B),C))|hBOOL(hAPP_P1708370145l_bool(hAPP_f1930574389l_bool(produc1815960045l_bool,A),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 543 during input processing: 0 [] {-} -hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(A,B),C))|hBOOL(hAPP_P282169671l_bool(hAPP_f635218277l_bool(produc1911463199l_bool,A),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 566 during input processing: 0 [] {-} -hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,A),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C)))|hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(A,B),C)).
% 0.78/1.00    Following clause subsumed by 541 during input processing: 0 [] {-} hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,A),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C)))| -hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(A,B),C)).
% 0.78/1.00    Following clause subsumed by 566 during input processing: 0 [] {-} -hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,A),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C)))|hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(A,B),C)).
% 0.78/1.00    Following clause subsumed by 541 during input processing: 0 [] {-} hBOOL(hAPP_P159683425l_bool(hAPP_f2121594859l_bool(produc1958875245l_bool,A),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C)))| -hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(A,B),C)).
% 0.78/1.00    Following clause subsumed by 590 during input processing: 0 [] {-} -hBOOL(hAPP_e544220455r_bool(hAPP_l214204733r_bool(produc288369490r_bool(A),B),C))|hBOOL(hAPP_P2014166431r_bool(A,hAPP_e952791821t_char(hAPP_l796364813t_char(produc1147572817t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 591 during input processing: 0 [] {-} -hBOOL(hAPP_l902158906r_bool(hAPP_l24694616r_bool(produc2116052801r_bool(A),B),C))|hBOOL(hAPP_P828904212r_bool(A,hAPP_l277216047t_char(hAPP_l352172327t_char(produc1152259904t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 592 during input processing: 0 [] {-} -hBOOL(hAPP_P828904212r_bool(hAPP_l1342015621r_bool(produc266042248r_bool(A),B),C))|hBOOL(hAPP_P659547099r_bool(A,hAPP_P1423780764t_char(hAPP_l309186817t_char(produc1483578759t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 593 during input processing: 0 [] {-} -hBOOL(hAPP_P659547099r_bool(hAPP_l2140727500r_bool(produc1588781647r_bool(A),B),C))|hBOOL(hAPP_P1680401186r_bool(A,hAPP_P1224499548t_char(hAPP_l902950593t_char(produc822965838t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 594 during input processing: 0 [] {-} -hBOOL(hAPP_e544220455r_bool(hAPP_l1062423959r_bool(produc550034914r_bool(A),B),C))|hBOOL(hAPP_P2118621157r_bool(A,hAPP_e1752110927t_char(hAPP_l1859255743t_char(produc1916172923t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 595 during input processing: 0 [] {-} -hBOOL(hAPP_P2118621157r_bool(hAPP_l1987619678r_bool(produc156891095r_bool(A),B),C))|hBOOL(hAPP_P1907982426r_bool(A,hAPP_P1392904962t_char(hAPP_l14371579t_char(produc1909267824t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 596 during input processing: 0 [] {-} -hBOOL(hAPP_P1907982426r_bool(hAPP_l217977712r_bool(produc1574020101r_bool(A),B),C))|hBOOL(hAPP_P92196306r_bool(A,hAPP_P767818445t_char(hAPP_l1873467853t_char(produc921874948t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 597 during input processing: 0 [] {-} -hBOOL(hAPP_P159683425l_bool(hAPP_l146377954l_bool(produc1838470831l_bool(A),B),C))|hBOOL(hAPP_P71593144l_bool(A,hAPP_P1963616220on_val(hAPP_l1275479261on_val(produc379668296on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 598 during input processing: 0 [] {-} -hBOOL(hAPP_P71593144l_bool(hAPP_P1183008383l_bool(produc2053127004l_bool(A),B),C))|hBOOL(hAPP_P1333315679l_bool(A,hAPP_P658340954on_val(hAPP_P1526035745on_val(produc1611380469on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 599 during input processing: 0 [] {-} -hBOOL(hAPP_val_bool(hAPP_v1392248405l_bool(produc886919678l_bool(A),B),C))|hBOOL(hAPP_P929938951l_bool(A,hAPP_v852496844al_val(hAPP_v1519391al_val(product_Pair_val_val,B),C))).
% 0.78/1.00    Following clause subsumed by 600 during input processing: 0 [] {-} -hBOOL(hAPP_P929938951l_bool(hAPP_b97269396l_bool(produc1555310053l_bool(A),B),C))|hBOOL(hAPP_P943837928l_bool(A,hAPP_P929466802al_val(hAPP_b1229254591al_val(produc621191550al_val,B),C))).
% 0.78/1.00    Following clause subsumed by 601 during input processing: 0 [] {-} -hBOOL(hAPP_list_char_bool(hAPP_l1361600383r_bool(produc95371820r_bool(A),B),C))|hBOOL(hAPP_P449474095r_bool(A,hAPP_l2100324114t_char(hAPP_l208357873t_char(produc5062597t_char,B),C))).
% 0.78/1.00    Following clause subsumed by 602 during input processing: 0 [] {-} -hBOOL(hAPP_f1715346603l_bool(hAPP_l465799708l_bool(produc481748255l_bool(A),B),C))|hBOOL(hAPP_P1235399154l_bool(A,hAPP_f900686428on_val(hAPP_l1786340417on_val(produc823076510on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 603 during input processing: 0 [] {-} -hBOOL(hAPP_f1033709212l_bool(hAPP_f1175813647l_bool(produc2062775566l_bool(A),B),C))|hBOOL(hAPP_P159683425l_bool(A,hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 604 during input processing: 0 [] {-} -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(produc1911975310l_bool(A),B),C))|hBOOL(hAPP_P1708370145l_bool(A,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 605 during input processing: 0 [] {-} -hBOOL(hAPP_P1708370145l_bool(hAPP_P1116729363l_bool(produc1159035454l_bool(A),B),C))|hBOOL(hAPP_P282169671l_bool(A,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,B),C))).
% 0.78/1.00    Following clause subsumed by 727 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_list_char_bool(A,C))|hBOOL(hAPP_list_char_bool(B,C)).
% 0.78/1.00    Following clause subsumed by 743 during input processing: 0 [] {-} hAPP_nat_option_nat(some_nat,A)!=none_nat.
% 0.78/1.00    Following clause subsumed by 745 during input processing: 0 [] {-} hAPP_ty_option_ty(some_ty,A)!=none_ty.
% 0.78/1.00    Following clause subsumed by 747 during input processing: 0 [] {-} hAPP_P1510515380on_val(some_P948696889on_val,A)!=none_P179726773on_val.
% 0.78/1.00    Following clause subsumed by 749 during input processing: 0 [] {-} hAPP_val_option_val(some_val,A)!=none_val.
% 0.78/1.01    Following clause subsumed by 751 during input processing: 0 [] {-} hAPP_f363827556r_bool(some_f80346385r_bool,A)!=none_f478147469r_bool.
% 0.78/1.01    Following clause subsumed by 752 during input processing: 0 [] {-} A!=none_nat|A!=hAPP_nat_option_nat(some_nat,B).
% 0.78/1.01    Following clause subsumed by 753 during input processing: 0 [] {-} A!=none_ty|A!=hAPP_ty_option_ty(some_ty,B).
% 0.78/1.01    Following clause subsumed by 754 during input processing: 0 [] {-} A!=none_P179726773on_val|A!=hAPP_P1510515380on_val(some_P948696889on_val,B).
% 0.78/1.01    Following clause subsumed by 755 during input processing: 0 [] {-} A!=none_val|A!=hAPP_val_option_val(some_val,B).
% 0.78/1.01    Following clause subsumed by 756 during input processing: 0 [] {-} A!=none_f478147469r_bool|A!=hAPP_f363827556r_bool(some_f80346385r_bool,B).
% 0.78/1.01    Following clause subsumed by 769 during input processing: 0 [] {-} hAPP_l207779698on_val(map_ad325961431ar_val(A,B),C)!=hAPP_val_option_val(some_val,D)|hAPP_l207779698on_val(B,C)=hAPP_val_option_val(some_val,D)|hAPP_l207779698on_val(B,C)=none_val.
% 0.78/1.01    Following clause subsumed by 770 during input processing: 0 [] {-} hAPP_l207779698on_val(map_ad325961431ar_val(A,B),C)!=hAPP_val_option_val(some_val,D)|hAPP_l207779698on_val(B,C)=hAPP_val_option_val(some_val,D)|hAPP_l207779698on_val(A,C)=hAPP_val_option_val(some_val,D).
% 0.78/1.01    Following clause subsumed by 573 during input processing: 0 [] {-} hAPP_l207779698on_val(map_ad325961431ar_val(A,B),C)=hAPP_val_option_val(some_val,D)|hAPP_l207779698on_val(B,C)!=hAPP_val_option_val(some_val,D).
% 0.78/1.01    Following clause subsumed by 796 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A)).
% 0.78/1.01    Following clause subsumed by 813 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B)).
% 0.78/1.01    Following clause subsumed by 814 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A)).
% 0.78/1.01    Following clause subsumed by 797 during input processing: 0 [] {-} -hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A),B))| -hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C),A))|hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C),B)).
% 0.78/1.01    Following clause subsumed by 798 during input processing: 0 [] {-} -hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A),B))| -hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C),A))|hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C),B)).
% 0.78/1.01    Following clause subsumed by 799 during input processing: 0 [] {-} -hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A),B))| -hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C),A))|hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C),B)).
% 0.78/1.01    Following clause subsumed by 800 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),B)).
% 0.78/1.01    Following clause subsumed by 801 during input processing: 0 [] {-} -hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A),B))| -hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C),A))|hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C),B)).
% 0.78/1.01    Following clause subsumed by 802 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),A))|hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),B)).
% 0.78/1.01    Following clause subsumed by 803 during input processing: 0 [] {-} -hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A),B))| -hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C),A))|hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C),B)).
% 0.85/1.03    Following clause subsumed by 797 during input processing: 0 [] {-} -hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,A),B))| -hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(B),C))|hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,A),C)).
% 0.85/1.03    Following clause subsumed by 798 during input processing: 0 [] {-} -hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,A),B))| -hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(B),C))|hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,A),C)).
% 0.85/1.03    Following clause subsumed by 799 during input processing: 0 [] {-} -hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,A),B))| -hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(B),C))|hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,A),C)).
% 0.85/1.03    Following clause subsumed by 800 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))| -hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(B),C))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.85/1.03    Following clause subsumed by 801 during input processing: 0 [] {-} -hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,A),B))| -hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(B),C))|hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,A),C)).
% 0.85/1.03    Following clause subsumed by 802 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),C))|hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,A),C)).
% 0.85/1.03    Following clause subsumed by 803 during input processing: 0 [] {-} -hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,A),B))| -hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(B),C))|hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,A),C)).
% 0.85/1.03    Following clause subsumed by 797 during input processing: 0 [] {-} -hBOOL(hAPP_f483496539l_bool(ord_le1987888477r_bool(A),B))| -hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C),A))|hBOOL(hAPP_f483496539l_bool(hAPP_P7095645l_bool(member1601084734t_char,C),B)).
% 0.85/1.03    Following clause subsumed by 798 during input processing: 0 [] {-} -hBOOL(hAPP_f515912112l_bool(ord_le117566470r_bool(A),B))| -hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C),A))|hBOOL(hAPP_f515912112l_bool(hAPP_P205570445l_bool(member1467889965t_char,C),B)).
% 0.85/1.03    Following clause subsumed by 799 during input processing: 0 [] {-} -hBOOL(hAPP_f458849545l_bool(ord_le1438917387l_bool(A),B))| -hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C),A))|hBOOL(hAPP_f458849545l_bool(hAPP_P126004409l_bool(member875476972on_val,C),B)).
% 0.85/1.03    Following clause subsumed by 800 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(ord_le1568362934t_bool(A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),B)).
% 0.85/1.03    Following clause subsumed by 801 during input processing: 0 [] {-} -hBOOL(hAPP_f2106398425l_bool(ord_le640323803r_bool(A),B))| -hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C),A))|hBOOL(hAPP_f2106398425l_bool(hAPP_P1180869721l_bool(member1251428284t_char,C),B)).
% 0.85/1.03    Following clause subsumed by 802 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),A))|hBOOL(hAPP_f986089162l_bool(hAPP_l1903254203l_bool(member_list_char,C),B)).
% 0.85/1.03    Following clause subsumed by 803 during input processing: 0 [] {-} -hBOOL(hAPP_f1453283057l_bool(ord_le1776148979l_bool(A),B))| -hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C),A))|hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,C),B)).
% 0.85/1.03    Following clause subsumed by 813 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B)).
% 0.85/1.03    Following clause subsumed by 814 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A)).
% 0.85/1.05    Following clause subsumed by 815 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C),A))|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(C),B)).
% 0.85/1.05    Following clause subsumed by 796 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A))|B=A.
% 0.85/1.05    Following clause subsumed by 815 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),C))|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),C)).
% 0.85/1.05    Following clause subsumed by 796 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A))|A=B.
% 0.85/1.05    Following clause subsumed by 796 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A))|B=A.
% 0.85/1.05    Following clause subsumed by 813 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A))|B!=A.
% 0.85/1.05    Following clause subsumed by 813 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B)).
% 0.85/1.05    Following clause subsumed by 813 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B)).
% 0.85/1.05    Following clause subsumed by 814 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A)).
% 0.85/1.05    Following clause subsumed by 796 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))| -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(B),A)).
% 0.85/1.05    Following clause subsumed by 1057 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))|hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(A,C)),hAPP_list_char_bool(B,C))).
% 0.85/1.05    Following clause subsumed by 1057 during input processing: 0 [] {-} -hBOOL(hAPP_f986089162l_bool(ord_le2092826700r_bool(A),B))|hBOOL(hAPP_bool_bool(ord_less_eq_bool(hAPP_list_char_bool(A,C)),hAPP_list_char_bool(B,C))).
% 0.85/1.05    Following clause subsumed by 1095 during input processing: 0 [] {-} -hBOOL(wf_pro755087577t_char(wwf_J_mdecl,A))| -hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(A,B,C),D),E))|hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,D),E))),transi2024712006on_val(red(A)))).
% 0.85/1.05    Following clause subsumed by 1097 during input processing: 0 [] {-} -hBOOL(wf_pro755087577t_char(wwf_J_mdecl,A))| -hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,B),C)),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,D),E))),transi2024712006on_val(red(A))))| -hBOOL(final_list_char(D))|hBOOL(hAPP_P159683425l_bool(hAPP_e1833980889l_bool(eval(A,B,C),D),E)).
% 0.85/1.05    Following clause subsumed by 1192 during input processing: 0 [] {-} addr(A)!=unit.
% 0.85/1.05    Following clause subsumed by 1297 during input processing: 0 [] {-} -hBOOL(wTrt(A,B,C,D,E))|hBOOL(wTrt_1(A,B,C,D,E)).
% 0.85/1.05    Following clause subsumed by 1296 during input processing: 0 [] {-} hBOOL(wTrt(A,B,C,D,E))| -hBOOL(wTrt_1(A,B,C,D,E)).
% 0.85/1.05    Following clause subsumed by 1306 during input processing: 0 [] {-} unit!=null.
% 0.85/1.05    Following clause subsumed by 1308 during input processing: 0 [] {-} addr(A)!=null.
% 0.85/1.05    Following clause subsumed by 1338 during input processing: 0 [flip.1] {-} hAPP_list_char_ty(class,A)!=void.
% 0.85/1.05    Following clause subsumed by 1353 during input processing: 0 [] {-} bool(A)!=unit.
% 0.90/1.09    Following clause subsumed by 1355 during input processing: 0 [] {-} bool(A)!=nul
% 0.90/1.09  -------- PROOF -------- 
% 0.90/1.09  % SZS status Theorem
% 0.90/1.09  % SZS output start Refutation
% 0.90/1.09  l.
% 0.90/1.09    Following clause subsumed by 1365 during input processing: 0 [] {-} c_Expr_Obop_OEq!=add.
% 0.90/1.09    Following clause subsumed by 1444 during input processing: 0 [] {-} hAPP_list_char_ty(class,A)!=nt.
% 0.90/1.09    Following clause subsumed by 1446 during input processing: 0 [] {-} void!=nt.
% 0.90/1.09    Following clause subsumed by 1557 during input processing: 0 [] {-} -hBOOL(wTrts(A,B,C,D,E))|hBOOL(wTrts_1(A,B,C,D,E)).
% 0.90/1.09    Following clause subsumed by 1558 during input processing: 0 [] {-} -hBOOL(wTrts_1(A,B,C,D,E))|hBOOL(wTrts(A,B,C,D,E)).
% 0.90/1.09    Following clause subsumed by 1564 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 0.90/1.09  275 back subsumes 24.
% 0.90/1.09  276 back subsumes 25.
% 0.90/1.09  277 back subsumes 26.
% 0.90/1.09  278 back subsumes 27.
% 0.90/1.09    Following clause subsumed by 698 during input processing: 0 [copy,696,flip.1] {-} lAss_list_char(A,B)!=block_list_char(C,D,E).
% 0.90/1.09    Following clause subsumed by 719 during input processing: 0 [copy,697,flip.1] {-} seq_list_char(A,B)!=block_list_char(C,D,E).
% 0.90/1.09    Following clause subsumed by 696 during input processing: 0 [copy,698,flip.1] {-} block_list_char(A,B,C)!=lAss_list_char(D,E).
% 0.90/1.09    Following clause subsumed by 713 during input processing: 0 [copy,711,flip.1] {-} seq_list_char(A,B)!=hAPP_v834067052t_char(val_list_char,C).
% 0.90/1.09    Following clause subsumed by 714 during input processing: 0 [copy,712,flip.1] {-} lAss_list_char(A,B)!=hAPP_v834067052t_char(val_list_char,C).
% 0.90/1.09    Following clause subsumed by 711 during input processing: 0 [copy,713,flip.1] {-} hAPP_v834067052t_char(val_list_char,A)!=seq_list_char(B,C).
% 0.90/1.09    Following clause subsumed by 712 during input processing: 0 [copy,714,flip.1] {-} hAPP_v834067052t_char(val_list_char,A)!=lAss_list_char(B,C).
% 0.90/1.09    Following clause subsumed by 716 during input processing: 0 [copy,715,flip.1] {-} block_list_char(A,B,C)!=hAPP_v834067052t_char(val_list_char,D).
% 0.90/1.09    Following clause subsumed by 715 during input processing: 0 [copy,716,flip.1] {-} hAPP_v834067052t_char(val_list_char,A)!=block_list_char(B,C,D).
% 0.90/1.09    Following clause subsumed by 718 during input processing: 0 [copy,717,flip.1] {-} lAss_list_char(A,B)!=seq_list_char(C,D).
% 0.90/1.09    Following clause subsumed by 717 during input processing: 0 [copy,718,flip.1] {-} seq_list_char(A,B)!=lAss_list_char(C,D).
% 0.90/1.09    Following clause subsumed by 697 during input processing: 0 [copy,719,flip.1] {-} block_list_char(A,B,C)!=seq_list_char(D,E).
% 0.90/1.09  1134 back subsumes 1096.
% 0.90/1.09    Following clause subsumed by 1348 during input processing: 0 [copy,1347,flip.1] {-} bool(A)!=addr(B).
% 0.90/1.09    Following clause subsumed by 1347 during input processing: 0 [copy,1348,flip.1] {-} addr(A)!=bool(B).
% 0.90/1.09  
% 0.90/1.09  ------------> process sos:
% 0.90/1.09  
% 0.90/1.09  ----> UNIT CONFLICT at   0.56 sec ----> 1890 [binary,1889.1,1578.1] {-} $F.
% 0.90/1.09  
% 0.90/1.09  Length of proof is 0.  Level of proof is 0.
% 0.90/1.09  
% 0.90/1.09  ---------------- PROOF ----------------
% 0.90/1.09  % SZS status Theorem
% 0.90/1.09  % SZS output start Refutation
% 0.90/1.09  
% 0.90/1.09  1578 [] {-} -hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))).
% 0.90/1.09  1889 [] {-} hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))).
% 0.90/1.09  1890 [binary,1889.1,1578.1] {-} $F.
% 0.90/1.09  
% 0.90/1.09  % SZS output end Refutation
% 0.90/1.09  ------------ end of proof -------------
% 0.90/1.09  
% 0.90/1.09  
% 0.90/1.09  Search stopped by max_proofs option.
% 0.90/1.09  
% 0.90/1.09  
% 0.90/1.09  Search stopped by max_proofs option.
% 0.90/1.09  
% 0.90/1.09  ============ end of search ============
% 0.90/1.09  
% 0.90/1.09  That finishes the proof of the theorem.
% 0.90/1.09  
% 0.90/1.09  Process 26389 finished Sat Jun  4 11:34:11 2022
%------------------------------------------------------------------------------