TSTP Solution File: SWV888-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-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  : 300s
% DateTime : Wed Jul 27 13:21:43 EDT 2022

% Result   : Unsatisfiable 1.92s 2.07s
% Output   : Refutation 1.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(25,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OBODY(A),B,C)
    | ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C) ),
    file('SWV888-1.p',unknown),
    [] ).

cnf(38,axiom,
    ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
    file('SWV888-1.p',unknown),
    [] ).

cnf(60,axiom,
    c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
    file('SWV888-1.p',unknown),
    [] ).

cnf(501,plain,
    c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
    inference(hyper,[status(thm)],[60,25]),
    [iquote('hyper,60,25')] ).

cnf(502,plain,
    $false,
    inference(binary,[status(thm)],[501,38]),
    [iquote('binary,501.1,38.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Jul 27 06:00:14 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.86/2.04  ----- Otter 3.3f, August 2004 -----
% 1.86/2.04  The process was started by sandbox on n029.cluster.edu,
% 1.86/2.04  Wed Jul 27 06:00:14 2022
% 1.86/2.04  The command was "./otter".  The process ID is 13919.
% 1.86/2.04  
% 1.86/2.04  set(prolog_style_variables).
% 1.86/2.04  set(auto).
% 1.86/2.04     dependent: set(auto1).
% 1.86/2.04     dependent: set(process_input).
% 1.86/2.04     dependent: clear(print_kept).
% 1.86/2.04     dependent: clear(print_new_demod).
% 1.86/2.04     dependent: clear(print_back_demod).
% 1.86/2.04     dependent: clear(print_back_sub).
% 1.86/2.04     dependent: set(control_memory).
% 1.86/2.04     dependent: assign(max_mem, 12000).
% 1.86/2.04     dependent: assign(pick_given_ratio, 4).
% 1.86/2.04     dependent: assign(stats_level, 1).
% 1.86/2.04     dependent: assign(max_seconds, 10800).
% 1.86/2.04  clear(print_given).
% 1.86/2.04  
% 1.86/2.04  list(usable).
% 1.86/2.04  0 [] A=A.
% 1.86/2.04  0 [] c_Fun_Oid(V_x,T_a)=V_x.
% 1.86/2.04  0 [] V_t=V_s| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t).
% 1.86/2.04  0 [] V_v=c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(V_v,T_a),T_a)|V_v=c_Option_Ooption_ONone(T_a).
% 1.86/2.04  0 [] V_n=c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1))| -c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1).
% 1.86/2.04  0 [] c_Natural_Oevalc(V_c2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1,V_c2,V_s,V_t),V_t)| -c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_t).
% 1.86/2.04  0 [] c_Natural_Oevalc(V_c1,V_s,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1,V_c2,V_s,V_t))| -c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_t).
% 1.86/2.04  0 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 1.86/2.04  0 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2)| -c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)| -c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1).
% 1.86/2.04  0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_a_H,T_a).
% 1.86/2.04  0 [] c_Option_Ooption_ONone(T_a)!=c_Option_Ooption_OSome(V_y,T_a).
% 1.86/2.04  0 [] c_Natural_Oevaln(V_c,V_s,c_Natural_Osko__Natural__Xeval__e_q__1__1(V_c,V_s,V_t),V_t)| -c_Natural_Oevalc(V_c,V_s,V_t).
% 1.86/2.04  0 [] V_x=c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__e_q__1__1(V_x,T_a),T_a)|V_x=c_Option_Ooption_ONone(T_a).
% 1.86/2.04  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 1.86/2.04  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 1.86/2.04  0 [] c_Option_Ooption_OSome(V_a_H,T_a)!=c_Option_Ooption_ONone(T_a).
% 1.86/2.04  0 [] c_Option_Ooption_OSome(V_xa,T_a)!=c_Option_Ooption_ONone(T_a).
% 1.86/2.04  0 [] c_Option_Ooption_OSome(V_a,T_a)!=c_Option_Ooption_OSome(V_a_H,T_a)|V_a=V_a_H.
% 1.86/2.04  0 [] c_Suc(V_x)!=c_Suc(V_y)|V_x=V_y.
% 1.86/2.04  0 [] c_Suc(V_nat)!=c_Suc(V_nat_H)|V_nat=V_nat_H.
% 1.86/2.04  0 [] c_Natural_Oevaln(V_c2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1,V_c2,V_n,V_s,V_t),V_n,V_t)| -c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t).
% 1.86/2.04  0 [] c_Natural_Oevaln(V_c1,V_s,V_n,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1,V_c2,V_n,V_s,V_t))| -c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t).
% 1.86/2.04  0 [] c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)| -c_Natural_Oevaln(V_c,V_s,V_n,V_s_H).
% 1.86/2.04  0 [] V_x=c_Option_Ooption_ONone(T_a)|V_x=c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__e_q__1__1(V_x,T_a),T_a).
% 1.86/2.04  0 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s).
% 1.86/2.04  0 [] c_Com_OWT(V_c2)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 1.86/2.04  0 [] c_Com_OWT(V_c1)| -c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)).
% 1.86/2.05  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 1.86/2.05  0 [] c_Natural_Oevaln(V_c,V_s,c_Natural_Osko__Natural__Xevalc__evaln__1__1(V_c,V_s,V_t),V_t)| -c_Natural_Oevalc(V_c,V_s,V_t).
% 1.86/2.05  0 [] c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))| -c_Com_OWT(V_c1)| -c_Com_OWT(V_c0).
% 1.86/2.05  0 [] c_Com_Obody(V_pn)!=c_Option_Ooption_OSome(V_b,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(V_b).
% 1.86/2.05  0 [] c_Suc(V_n)!=V_n.
% 1.86/2.05  0 [] V_n!=c_Suc(V_n).
% 1.86/2.05  0 [] V_y=c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(V_y,T_a),T_a)|V_y=c_Option_Ooption_ONone(T_a).
% 1.86/2.05  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 1.86/2.05  0 [] c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a)=V_x.
% 1.86/2.05  0 [] c_Com_OWT(c_Com_Ocom_OBODY(V_pn))|c_Com_Obody(V_pn)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 1.86/2.05  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 1.86/2.05  0 [] c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn),V_s0,V_s1)| -c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_s1).
% 1.86/2.05  0 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_P),tc_Com_Ocom),V_s,V_s1)| -c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P),V_s,V_s1).
% 1.90/2.05  0 [] V_u=V_t| -c_Natural_Oevalc(V_c,V_s,V_u)| -c_Natural_Oevalc(V_c,V_s,V_t).
% 1.90/2.05  0 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s).
% 1.90/2.05  0 [] c_Fun_Oid(v_x,t_a)=v_x.
% 1.90/2.05  0 [] c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_P),tc_Com_Ocom),V_s,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1),V_s1)| -c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1).
% 1.90/2.05  0 [] c_Com_Obody(V_P)=c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P),tc_Com_Ocom)| -c_Com_OWT(c_Com_Ocom_OBODY(V_P)).
% 1.90/2.05  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 1.90/2.05  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 1.90/2.05  0 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2)| -c_Natural_Oevalc(V_c1,V_s1,V_s2)| -c_Natural_Oevalc(V_c0,V_s0,V_s1).
% 1.90/2.05  0 [] c_Natural_Oevaln(c_Com_Ocom_OBODY(V_pn),V_s0,c_Suc(V_n),V_s1)| -c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_s0,V_n,V_s1).
% 1.90/2.05  0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 1.90/2.05  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 1.90/2.05  0 [] V_t=V_s| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t).
% 1.90/2.05  0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_n,V_t).
% 1.90/2.05  0 [] c_Natural_Oevalc(V_c,V_s,V_t)| -c_Natural_Oevaln(V_c,V_s,V_x,V_t).
% 1.90/2.05  0 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa).
% 1.90/2.05  0 [] -c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa).
% 1.90/2.05  end_of_list.
% 1.90/2.05  
% 1.90/2.05  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.90/2.05  
% 1.90/2.05  This ia a non-Horn set with equality.  The strategy will be
% 1.90/2.05  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.90/2.05  deletion, with positive clauses in sos and nonpositive
% 1.90/2.05  clauses in usable.
% 1.90/2.05  
% 1.90/2.05     dependent: set(knuth_bendix).
% 1.90/2.05     dependent: set(anl_eq).
% 1.90/2.05     dependent: set(para_from).
% 1.90/2.05     dependent: set(para_into).
% 1.90/2.05     dependent: clear(para_from_right).
% 1.90/2.05     dependent: clear(para_into_right).
% 1.90/2.05     dependent: set(para_from_vars).
% 1.90/2.05     dependent: set(eq_units_both_ways).
% 1.90/2.05     dependent: set(dynamic_demod_all).
% 1.90/2.05     dependent: set(dynamic_demod).
% 1.90/2.05     dependent: set(order_eq).
% 1.90/2.05     dependent: set(back_demod).
% 1.90/2.05     dependent: set(lrpo).
% 1.90/2.05     dependent: set(hyper_res).
% 1.90/2.05     dependent: set(unit_deletion).
% 1.90/2.05     dependent: set(factor).
% 1.90/2.05  
% 1.90/2.05  ------------> process usable:
% 1.90/2.05  ** KEPT (pick-wt=8): 1 [] A=B| -c_Natural_Oevaln(c_Com_Ocom_OSKIP,B,C,A).
% 1.90/2.05  ** KEPT (pick-wt=14): 3 [copy,2,flip.1] c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(A,B,C,D))=B| -c_Natural_Oevaln(c_Com_Ocom_OBODY(A),C,B,D).
% 1.90/2.05  ** KEPT (pick-wt=14): 4 [] c_Natural_Oevalc(A,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(B,A,C,D),D)| -c_Natural_Oevalc(c_Com_Ocom_OSemi(B,A),C,D).
% 1.90/2.05  ** KEPT (pick-wt=14): 5 [] c_Natural_Oevalc(A,B,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(A,C,B,D))| -c_Natural_Oevalc(c_Com_Ocom_OSemi(A,C),B,D).
% 1.90/2.05  ** KEPT (pick-wt=17): 6 [] c_Natural_Oevaln(c_Com_Ocom_OSemi(A,B),C,D,E)| -c_Natural_Oevaln(B,F,D,E)| -c_Natural_Oevaln(A,C,D,F).
% 1.90/2.05  ** KEPT (pick-wt=6): 7 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 1.90/2.05    Following clause subsumed by 7 during input processing: 0 [] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 1.90/2.05  ** KEPT (pick-wt=12): 8 [] c_Natural_Oevaln(A,B,c_Natural_Osko__Natural__Xeval__e_q__1__1(A,B,C),C)| -c_Natural_Oevalc(A,B,C).
% 1.90/2.05  ** KEPT (pick-wt=10): 9 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 1.90/2.05  ** KEPT (pick-wt=10): 10 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 1.90/2.05  ** KEPT (pick-wt=6): 11 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 1.90/2.05    Following clause subsumed by 11 during input processing: 0 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 1.90/2.05  ** KEPT (pick-wt=10): 12 [] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_OSome(C,B)|A=C.
% 1.90/2.05  ** KEPT (pick-wt=8): 13 [] c_Suc(A)!=c_Suc(B)|A=B.
% 1.90/2.05    Following clause subsumed by 13 during input processing: 0 [] c_Suc(A)!=c_Suc(B)|A=B.
% 1.90/2.05  ** KEPT (pick-wt=17): 14 [] c_Natural_Oevaln(A,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(B,A,C,D,E),C,E)| -c_Natural_Oevaln(c_Com_Ocom_OSemi(B,A),D,C,E).
% 1.90/2.05  ** KEPT (pick-wt=17): 15 [] c_Natural_Oevaln(A,B,C,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(A,D,C,B,E))| -c_Natural_Oevaln(c_Com_Ocom_OSemi(A,D),B,C,E).
% 1.90/2.05  ** KEPT (pick-wt=11): 16 [] c_Natural_Oevaln(A,B,c_Suc(C),D)| -c_Natural_Oevaln(A,B,C,D).
% 1.90/2.05  ** KEPT (pick-wt=6): 17 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(B,A)).
% 1.90/2.05  ** KEPT (pick-wt=6): 18 [] c_Com_OWT(A)| -c_Com_OWT(c_Com_Ocom_OSemi(A,B)).
% 1.90/2.05  ** KEPT (pick-wt=5): 19 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.90/2.05  ** KEPT (pick-wt=12): 20 [] c_Natural_Oevaln(A,B,c_Natural_Osko__Natural__Xevalc__evaln__1__1(A,B,C),C)| -c_Natural_Oevalc(A,B,C).
% 1.90/2.05  ** KEPT (pick-wt=8): 21 [] c_Com_OWT(c_Com_Ocom_OSemi(A,B))| -c_Com_OWT(B)| -c_Com_OWT(A).
% 1.90/2.05  ** KEPT (pick-wt=9): 22 [] c_Com_Obody(A)!=c_Option_Ooption_OSome(B,tc_Com_Ocom)| -c_Com_OWT__bodies|c_Com_OWT(B).
% 1.90/2.05  ** KEPT (pick-wt=4): 23 [] c_Suc(A)!=A.
% 1.90/2.05    Following clause subsumed by 23 during input processing: 0 [flip.1] c_Suc(A)!=A.
% 1.90/2.05    Following clause subsumed by 19 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.90/2.05  ** KEPT (pick-wt=4): 24 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 1.90/2.05  ** KEPT (pick-wt=12): 25 [] c_Natural_Oevalc(c_Com_Ocom_OBODY(A),B,C)| -c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C).
% 1.90/2.05  ** KEPT (pick-wt=12): 26 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C)| -c_Natural_Oevalc(c_Com_Ocom_OBODY(A),B,C).
% 1.90/2.05  ** KEPT (pick-wt=11): 27 [] A=B| -c_Natural_Oevalc(C,D,A)| -c_Natural_Oevalc(C,D,B).
% 1.90/2.05  ** KEPT (pick-wt=18): 28 [] c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(A,C,B,D),D)| -c_Natural_Oevaln(c_Com_Ocom_OBODY(A),B,C,D).
% 1.90/2.05  ** KEPT (pick-wt=10): 30 [copy,29,flip.1] c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(A),tc_Com_Ocom)=c_Com_Obody(A)| -c_Com_OWT(c_Com_Ocom_OBODY(A)).
% 1.90/2.05  ** KEPT (pick-wt=6): 31 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 1.90/2.05  ** KEPT (pick-wt=6): 32 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 1.90/2.05  ** KEPT (pick-wt=14): 33 [] c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B),C,D)| -c_Natural_Oevalc(B,E,D)| -c_Natural_Oevalc(A,C,E).
% 1.90/2.05  ** KEPT (pick-wt=15): 34 [] c_Natural_Oevaln(c_Com_Ocom_OBODY(A),B,c_Suc(C),D)| -c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(A),tc_Com_Ocom),B,C,D).
% 1.90/2.05  ** KEPT (pick-wt=8): 35 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 1.90/2.05    Following clause subsumed by 24 during input processing: 0 [flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 1.90/2.05  ** KEPT (pick-wt=7): 36 [] A=B| -c_Natural_Oevalc(c_Com_Ocom_OSKIP,B,A).
% 1.90/2.05  ** KEPT (pick-wt=9): 37 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 1.90/2.05    Following clause subsumed by 37 during input processing: 0 [] c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 1.90/2.05  ** KEPT (pick-wt=5): 38 [] -c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa).
% 1.90/2.05    Following clause subsumed by 11 during input processing: 0 [copy,7,flip.1] c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 1.90/2.05    Following clause subsumed by 7 during input processing: 0 [copy,11,flip.1] c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 1.90/2.05    Following clause subsumed by 32 during input processing: 0 [copy,31,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 1.90/2.05    Following clause subsumed by 31 during input processing: 0 [copy,32,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 1.90/2.05  
% 1.90/2.05  ------------> process sos:
% 1.90/2.05  ** KEPT (pick-wt=3): 43 [] A=A.
% 1.90/2.05  ** KEPT (pick-wt=5): 44 [] c_Fun_Oid(A,B)=A.
% 1.90/2.05  ---> New Demodulator: 45 [new_demod,44] c_Fun_Oid(A,B)=A.
% 1.90/2.05  ** KEPT (pick-wt=11): 47 [copy,46,flip.1] c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(A,B),B)=A|A=c_Option_Ooption_ONone(B).
% 1.90/2.05  ** KEPT (pick-wt=2): 48 [] c_Com_OWT(c_Com_Ocom_OSKIP).
% 1.90/2.05  ** KEPT (pick-wt=11): 50 [copy,49,flip.1] c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__e_q__1__1(A,B),B)=A|A=c_Option_Ooption_ONone(B).
% 1.90/2.05  ** KEPT (pick-wt=11): 52 [copy,51,flip.2] A=c_Option_Ooption_ONone(B)|c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__e_q__1__1(A,B),B)=A.
% 1.90/2.05  ** KEPT (pick-wt=5): 53 [] c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A).
% 1.90/2.05  ** KEPT (pick-wt=11): 55 [copy,54,flip.1] c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(A,B),B)=A|A=c_Option_Ooption_ONone(B).
% 1.92/2.07  ** KEPT (pick-wt=7): 56 [] c_Option_Othe(c_Option_Ooption_OSome(A,B),B)=A.
% 1.92/2.07  ---> New Demodulator: 57 [new_demod,56] c_Option_Othe(c_Option_Ooption_OSome(A,B),B)=A.
% 1.92/2.07  ** KEPT (pick-wt=8): 58 [] c_Com_OWT(c_Com_Ocom_OBODY(A))|c_Com_Obody(A)=c_Option_Ooption_ONone(tc_Com_Ocom).
% 1.92/2.07  ** KEPT (pick-wt=4): 59 [] c_Natural_Oevalc(c_Com_Ocom_OSKIP,A,A).
% 1.92/2.07    Following clause subsumed by 43 during input processing: 0 [demod,45] v_x=v_x.
% 1.92/2.07  ** KEPT (pick-wt=7): 60 [] c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa).
% 1.92/2.07    Following clause subsumed by 43 during input processing: 0 [copy,43,flip.1] A=A.
% 1.92/2.07  43 back subsumes 41.
% 1.92/2.07  >>>> Starting back demodulation with 45.
% 1.92/2.07  >>>> Starting back demodulation with 57.
% 1.92/2.07  
% 1.92/2.07  ======= end of input processing =======
% 1.92/2.07  
% 1.92/2.07  =========== start of search ===========
% 1.92/2.07  
% 1.92/2.07  -------- PROOF -------- 
% 1.92/2.07  
% 1.92/2.07  ----> UNIT CONFLICT at   0.02 sec ----> 502 [binary,501.1,38.1] $F.
% 1.92/2.07  
% 1.92/2.07  Length of proof is 1.  Level of proof is 1.
% 1.92/2.07  
% 1.92/2.07  ---------------- PROOF ----------------
% 1.92/2.07  % SZS status Unsatisfiable
% 1.92/2.07  % SZS output start Refutation
% See solution above
% 1.92/2.07  ------------ end of proof -------------
% 1.92/2.07  
% 1.92/2.07  
% 1.92/2.07  Search stopped by max_proofs option.
% 1.92/2.07  
% 1.92/2.07  
% 1.92/2.07  Search stopped by max_proofs option.
% 1.92/2.07  
% 1.92/2.07  ============ end of search ============
% 1.92/2.07  
% 1.92/2.07  -------------- statistics -------------
% 1.92/2.07  clauses given                 14
% 1.92/2.07  clauses generated            568
% 1.92/2.07  clauses kept                 489
% 1.92/2.07  clauses forward subsumed     138
% 1.92/2.07  clauses back subsumed          1
% 1.92/2.07  Kbytes malloced             3906
% 1.92/2.07  
% 1.92/2.07  ----------- times (seconds) -----------
% 1.92/2.07  user CPU time          0.02          (0 hr, 0 min, 0 sec)
% 1.92/2.07  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.92/2.07  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.92/2.07  
% 1.92/2.07  That finishes the proof of the theorem.
% 1.92/2.07  
% 1.92/2.07  Process 13919 finished Wed Jul 27 06:00:16 2022
% 1.92/2.07  Otter interrupted
% 1.92/2.07  PROOF FOUND
%------------------------------------------------------------------------------