TSTP Solution File: SWB022+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n017.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 13:17:46 EDT 2022

% Result   : Theorem 1.78s 1.98s
% Output   : Refutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   27 (  24 unt;   0 nHn;  27 RR)
%            Number of literals    :   38 (   0 equ;  12 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ iext(uri_rdfs_subPropertyOf,A,B)
    | ~ iext(A,C,D)
    | iext(B,C,D) ),
    file('SWB022+2.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ iext(uri_rdf_first,A,B)
    | ~ iext(uri_rdf_rest,A,C)
    | ~ iext(uri_rdf_first,C,D)
    | ~ iext(uri_rdf_rest,C,uri_rdf_nil)
    | ~ iext(uri_owl_propertyChainAxiom,E,A)
    | ~ iext(B,F,G)
    | ~ iext(D,G,H)
    | iext(E,F,H) ),
    file('SWB022+2.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    file('SWB022+2.p',unknown),
    [] ).

cnf(125,axiom,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,dollar_c8),
    file('SWB022+2.p',unknown),
    [] ).

cnf(126,axiom,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,dollar_c7),
    file('SWB022+2.p',unknown),
    [] ).

cnf(127,axiom,
    iext(uri_rdf_first,dollar_c7,dollar_c8),
    file('SWB022+2.p',unknown),
    [] ).

cnf(128,axiom,
    iext(uri_rdf_rest,dollar_c7,dollar_c6),
    file('SWB022+2.p',unknown),
    [] ).

cnf(129,axiom,
    iext(uri_rdf_first,dollar_c6,uri_rdf_first),
    file('SWB022+2.p',unknown),
    [] ).

cnf(130,axiom,
    iext(uri_rdf_rest,dollar_c6,uri_rdf_nil),
    file('SWB022+2.p',unknown),
    [] ).

cnf(131,axiom,
    iext(uri_owl_propertyChainAxiom,dollar_c8,dollar_c5),
    file('SWB022+2.p',unknown),
    [] ).

cnf(132,axiom,
    iext(uri_rdf_first,dollar_c5,dollar_c8),
    file('SWB022+2.p',unknown),
    [] ).

cnf(133,axiom,
    iext(uri_rdf_rest,dollar_c5,dollar_c4),
    file('SWB022+2.p',unknown),
    [] ).

cnf(134,axiom,
    iext(uri_rdf_first,dollar_c4,uri_rdf_rest),
    file('SWB022+2.p',unknown),
    [] ).

cnf(135,axiom,
    iext(uri_rdf_rest,dollar_c4,uri_rdf_nil),
    file('SWB022+2.p',unknown),
    [] ).

cnf(137,axiom,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,dollar_c3),
    file('SWB022+2.p',unknown),
    [] ).

cnf(138,axiom,
    iext(uri_rdf_first,dollar_c3,uri_ex_X),
    file('SWB022+2.p',unknown),
    [] ).

cnf(139,axiom,
    iext(uri_rdf_rest,dollar_c3,dollar_c2),
    file('SWB022+2.p',unknown),
    [] ).

cnf(140,axiom,
    iext(uri_rdf_first,dollar_c2,uri_ex_Y),
    file('SWB022+2.p',unknown),
    [] ).

cnf(141,axiom,
    iext(uri_rdf_rest,dollar_c2,dollar_c1),
    file('SWB022+2.p',unknown),
    [] ).

cnf(142,axiom,
    iext(uri_rdf_first,dollar_c1,uri_ex_Z),
    file('SWB022+2.p',unknown),
    [] ).

cnf(165,plain,
    iext(dollar_c8,uri_ex_MyOrderedCollection,dollar_c3),
    inference(hyper,[status(thm)],[137,3,125]),
    [iquote('hyper,137,3,125')] ).

cnf(166,plain,
    iext(dollar_c8,uri_ex_MyOrderedCollection,dollar_c2),
    inference(hyper,[status(thm)],[165,7,132,133,134,135,131,139]),
    [iquote('hyper,165,7,132,133,134,135,131,139')] ).

cnf(167,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
    inference(hyper,[status(thm)],[165,7,127,128,129,130,126,138]),
    [iquote('hyper,165,7,127,128,129,130,126,138')] ).

cnf(169,plain,
    iext(dollar_c8,uri_ex_MyOrderedCollection,dollar_c1),
    inference(hyper,[status(thm)],[166,7,132,133,134,135,131,141]),
    [iquote('hyper,166,7,132,133,134,135,131,141')] ).

cnf(171,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
    inference(hyper,[status(thm)],[166,7,127,128,129,130,126,140]),
    [iquote('hyper,166,7,127,128,129,130,126,140')] ).

cnf(174,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
    inference(hyper,[status(thm)],[169,7,127,128,129,130,126,142]),
    [iquote('hyper,169,7,127,128,129,130,126,142')] ).

cnf(178,plain,
    $false,
    inference(hyper,[status(thm)],[174,11,167,171]),
    [iquote('hyper,174,11,167,171')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 01:54:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.71/1.92  ----- Otter 3.3f, August 2004 -----
% 1.71/1.92  The process was started by sandbox on n017.cluster.edu,
% 1.71/1.92  Wed Jul 27 01:54:33 2022
% 1.71/1.92  The command was "./otter".  The process ID is 30541.
% 1.71/1.92  
% 1.71/1.92  set(prolog_style_variables).
% 1.71/1.92  set(auto).
% 1.71/1.92     dependent: set(auto1).
% 1.71/1.92     dependent: set(process_input).
% 1.71/1.92     dependent: clear(print_kept).
% 1.71/1.92     dependent: clear(print_new_demod).
% 1.71/1.92     dependent: clear(print_back_demod).
% 1.71/1.92     dependent: clear(print_back_sub).
% 1.71/1.92     dependent: set(control_memory).
% 1.71/1.92     dependent: assign(max_mem, 12000).
% 1.71/1.92     dependent: assign(pick_given_ratio, 4).
% 1.71/1.92     dependent: assign(stats_level, 1).
% 1.71/1.92     dependent: assign(max_seconds, 10800).
% 1.71/1.92  clear(print_given).
% 1.71/1.92  
% 1.71/1.92  formula_list(usable).
% 1.71/1.92  all P Q (iext(uri_rdfs_subPropertyOf,P,Q)->ip(P)&ip(Q)& (all X Y (iext(P,X,Y)->iext(Q,X,Y)))).
% 1.71/1.92  all P S1 P1 S2 P2 (iext(uri_rdf_first,S1,P1)&iext(uri_rdf_rest,S1,S2)&iext(uri_rdf_first,S2,P2)&iext(uri_rdf_rest,S2,uri_rdf_nil)-> (iext(uri_owl_propertyChainAxiom,P,S1)<->ip(P)&ip(P1)&ip(P2)& (all Y0 Y1 Y2 (iext(P1,Y0,Y1)&iext(P2,Y1,Y2)->iext(P,Y0,Y2))))).
% 1.71/1.92  -(iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)&iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)&iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)).
% 1.71/1.92  exists BNODE_pL BNODE_l11 BNODE_l12 BNODE_l21 BNODE_l22 BNODE_l31 BNODE_l32 BNODE_l33 (iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)&iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)&iext(uri_rdf_first,BNODE_l11,BNODE_pL)&iext(uri_rdf_rest,BNODE_l11,BNODE_l12)&iext(uri_rdf_first,BNODE_l12,uri_rdf_first)&iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)&iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)&iext(uri_rdf_first,BNODE_l21,BNODE_pL)&iext(uri_rdf_rest,BNODE_l21,BNODE_l22)&iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)&iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)&iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)&iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)&iext(uri_rdf_first,BNODE_l31,uri_ex_X)&iext(uri_rdf_rest,BNODE_l31,BNODE_l32)&iext(uri_rdf_first,BNODE_l32,uri_ex_Y)&iext(uri_rdf_rest,BNODE_l32,BNODE_l33)&iext(uri_rdf_first,BNODE_l33,uri_ex_Z)&iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)).
% 1.71/1.92  end_of_list.
% 1.71/1.92  
% 1.71/1.92  -------> usable clausifies to:
% 1.71/1.92  
% 1.71/1.92  list(usable).
% 1.71/1.92  0 [] -iext(uri_rdfs_subPropertyOf,P,Q)|ip(P).
% 1.71/1.92  0 [] -iext(uri_rdfs_subPropertyOf,P,Q)|ip(Q).
% 1.71/1.92  0 [] -iext(uri_rdfs_subPropertyOf,P,Q)| -iext(P,X,Y)|iext(Q,X,Y).
% 1.71/1.92  0 [] -iext(uri_rdf_first,S1,P1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,P2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,P,S1)|ip(P).
% 1.71/1.92  0 [] -iext(uri_rdf_first,S1,P1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,P2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,P,S1)|ip(P1).
% 1.71/1.92  0 [] -iext(uri_rdf_first,S1,P1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,P2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,P,S1)|ip(P2).
% 1.71/1.92  0 [] -iext(uri_rdf_first,S1,P1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,P2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,P,S1)| -iext(P1,Y0,Y1)| -iext(P2,Y1,Y2)|iext(P,Y0,Y2).
% 1.71/1.92  0 [] -iext(uri_rdf_first,S1,P1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,P2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)|iext(uri_owl_propertyChainAxiom,P,S1)| -ip(P)| -ip(P1)| -ip(P2)|iext(P1,$f3(P,S1,P1,S2,P2),$f2(P,S1,P1,S2,P2)).
% 1.71/1.92  0 [] -iext(uri_rdf_first,S1,P1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,P2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)|iext(uri_owl_propertyChainAxiom,P,S1)| -ip(P)| -ip(P1)| -ip(P2)|iext(P2,$f2(P,S1,P1,S2,P2),$f1(P,S1,P1,S2,P2)).
% 1.71/1.92  0 [] -iext(uri_rdf_first,S1,P1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,P2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)|iext(uri_owl_propertyChainAxiom,P,S1)| -ip(P)| -ip(P1)| -ip(P2)| -iext(P,$f3(P,S1,P1,S2,P2),$f1(P,S1,P1,S2,P2)).
% 1.71/1.92  0 [] -iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)| -iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)| -iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z).
% 1.71/1.92  0 [] iext(uri_rdfs_subPropertyOf,uri_skos_memberList,$c8).
% 1.71/1.92  0 [] iext(uri_owl_propertyChainAxiom,uri_skos_member,$c7).
% 1.71/1.92  0 [] iext(uri_rdf_first,$c7,$c8).
% 1.71/1.92  0 [] iext(uri_rdf_rest,$c7,$c6).
% 1.71/1.92  0 [] iext(uri_rdf_first,$c6,uri_rdf_first).
% 1.71/1.92  0 [] iext(uri_rdf_rest,$c6,uri_rdf_nil).
% 1.71/1.92  0 [] iext(uri_owl_propertyChainAxiom,$c8,$c5).
% 1.71/1.92  0 [] iext(uri_rdf_first,$c5,$c8).
% 1.71/1.92  0 [] iext(uri_rdf_rest,$c5,$c4).
% 1.71/1.92  0 [] iext(uri_rdf_first,$c4,uri_rdf_rest).
% 1.71/1.92  0 [] iext(uri_rdf_rest,$c4,uri_rdf_nil).
% 1.71/1.92  0 [] iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection).
% 1.71/1.92  0 [] iext(uri_skos_memberList,uri_ex_MyOrderedCollection,$c3).
% 1.71/1.92  0 [] iext(uri_rdf_first,$c3,uri_ex_X).
% 1.71/1.92  0 [] iext(uri_rdf_rest,$c3,$c2).
% 1.71/1.92  0 [] iext(uri_rdf_first,$c2,uri_ex_Y).
% 1.71/1.92  0 [] iext(uri_rdf_rest,$c2,$c1).
% 1.71/1.92  0 [] iext(uri_rdf_first,$c1,uri_ex_Z).
% 1.71/1.92  0 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.71/1.92  end_of_list.
% 1.71/1.92  
% 1.71/1.92  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=9.
% 1.71/1.92  
% 1.71/1.92  This is a non-Horn set without equality.  The strategy will
% 1.71/1.92  be ordered hyper_res, unit deletion, and factoring, with
% 1.71/1.92  satellites in sos and with nuclei in usable.
% 1.71/1.92  
% 1.71/1.92     dependent: set(hyper_res).
% 1.71/1.92     dependent: set(factor).
% 1.71/1.92     dependent: set(unit_deletion).
% 1.71/1.92  
% 1.71/1.92  ------------> process usable:
% 1.71/1.92  ** KEPT (pick-wt=6): 1 [] -iext(uri_rdfs_subPropertyOf,A,B)|ip(A).
% 1.71/1.92  ** KEPT (pick-wt=6): 2 [] -iext(uri_rdfs_subPropertyOf,A,B)|ip(B).
% 1.71/1.92  ** KEPT (pick-wt=12): 3 [] -iext(uri_rdfs_subPropertyOf,A,B)| -iext(A,C,D)|iext(B,C,D).
% 1.71/1.92  ** KEPT (pick-wt=22): 4 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,E,A)|ip(E).
% 1.71/1.92  ** KEPT (pick-wt=22): 5 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,E,A)|ip(B).
% 1.71/1.92  ** KEPT (pick-wt=22): 6 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,E,A)|ip(D).
% 1.71/1.92  ** KEPT (pick-wt=32): 7 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_propertyChainAxiom,E,A)| -iext(B,F,G)| -iext(D,G,H)|iext(E,F,H).
% 1.71/1.92  ** KEPT (pick-wt=40): 8 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)|iext(uri_owl_propertyChainAxiom,E,A)| -ip(E)| -ip(B)| -ip(D)|iext(B,$f3(E,A,B,C,D),$f2(E,A,B,C,D)).
% 1.71/1.92  ** KEPT (pick-wt=40): 9 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)|iext(uri_owl_propertyChainAxiom,E,A)| -ip(E)| -ip(B)| -ip(D)|iext(D,$f2(E,A,B,C,D),$f1(E,A,B,C,D)).
% 1.71/1.92  ** KEPT (pick-wt=40): 10 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)|iext(uri_owl_propertyChainAxiom,E,A)| -ip(E)| -ip(B)| -ip(D)| -iext(E,$f3(E,A,B,C,D),$f1(E,A,B,C,D)).
% 1.71/1.92  ** KEPT (pick-wt=12): 11 [] -iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)| -iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)| -iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z).
% 1.71/1.92  
% 1.71/1.92  ------------> process sos:
% 1.71/1.92  ** KEPT (pick-wt=4): 125 [] iext(uri_rdfs_subPropertyOf,uri_skos_memberList,$c8).
% 1.71/1.92  ** KEPT (pick-wt=4): 126 [] iext(uri_owl_propertyChainAxiom,uri_skos_member,$c7).
% 1.71/1.92  ** KEPT (pick-wt=4): 127 [] iext(uri_rdf_first,$c7,$c8).
% 1.71/1.92  ** KEPT (pick-wt=4): 128 [] iext(uri_rdf_rest,$c7,$c6).
% 1.71/1.92  ** KEPT (pick-wt=4): 129 [] iext(uri_rdf_first,$c6,uri_rdf_first).
% 1.71/1.92  ** KEPT (pick-wt=4): 130 [] iext(uri_rdf_rest,$c6,uri_rdf_nil).
% 1.71/1.92  ** KEPT (pick-wt=4): 131 [] iext(uri_owl_propertyChainAxiom,$c8,$c5).
% 1.71/1.92  ** KEPT (pick-wt=4): 132 [] iext(uri_rdf_first,$c5,$c8).
% 1.71/1.92  ** KEPT (pick-wt=4): 133 [] iext(uri_rdf_rest,$c5,$c4).
% 1.71/1.92  ** KEPT (pick-wt=4): 134 [] iext(uri_rdf_first,$c4,uri_rdf_rest).
% 1.71/1.92  ** KEPT (pick-wt=4): 135 [] iext(uri_rdf_rest,$c4,uri_rdf_nil).
% 1.71/1.92  ** KEPT (pick-wt=4): 136 [] iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection).
% 1.71/1.92  ** KEPT (pick-wt=4): 137 [] iext(uri_skos_memberList,uri_ex_MyOrderedCollection,$c3).
% 1.71/1.92  ** KEPT (pick-wt=4): 138 [] iext(uri_rdf_first,$c3,uri_ex_X).
% 1.71/1.92  ** KEPT (pick-wt=4): 139 [] iext(uri_rdf_rest,$c3,$c2).
% 1.71/1.92  ** KEPT (pick-wt=4): 140 [] iext(uri_rdf_first,$c2,uri_ex_Y).
% 1.78/1.98  ** KEPT (pick-wt=4): 141 [] iext(uri_rdf_rest,$c2,$c1).
% 1.78/1.98  ** KEPT (pick-wt=4): 142 [] iext(uri_rdf_first,$c1,uri_ex_Z).
% 1.78/1.98  ** KEPT (pick-wt=4): 143 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.78/1.98  
% 1.78/1.98  ======= end of input processing =======
% 1.78/1.98  
% 1.78/1.98  =========== start of search ===========
% 1.78/1.98  
% 1.78/1.98  -------- PROOF -------- 
% 1.78/1.98  
% 1.78/1.98  -----> EMPTY CLAUSE at   0.10 sec ----> 178 [hyper,174,11,167,171] $F.
% 1.78/1.98  
% 1.78/1.98  Length of proof is 6.  Level of proof is 4.
% 1.78/1.98  
% 1.78/1.98  ---------------- PROOF ----------------
% 1.78/1.98  % SZS status Theorem
% 1.78/1.98  % SZS output start Refutation
% See solution above
% 1.78/1.98  ------------ end of proof -------------
% 1.78/1.98  
% 1.78/1.98  
% 1.78/1.98  Search stopped by max_proofs option.
% 1.78/1.98  
% 1.78/1.98  
% 1.78/1.98  Search stopped by max_proofs option.
% 1.78/1.98  
% 1.78/1.98  ============ end of search ============
% 1.78/1.98  
% 1.78/1.98  -------------- statistics -------------
% 1.78/1.98  clauses given                 33
% 1.78/1.98  clauses generated            356
% 1.78/1.98  clauses kept                 177
% 1.78/1.98  clauses forward subsumed     208
% 1.78/1.98  clauses back subsumed          0
% 1.78/1.98  Kbytes malloced              976
% 1.78/1.98  
% 1.78/1.98  ----------- times (seconds) -----------
% 1.78/1.98  user CPU time          0.10          (0 hr, 0 min, 0 sec)
% 1.78/1.98  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.78/1.98  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.78/1.98  
% 1.78/1.98  That finishes the proof of the theorem.
% 1.78/1.98  
% 1.78/1.98  Process 30541 finished Wed Jul 27 01:54:34 2022
% 1.78/1.98  Otter interrupted
% 1.78/1.98  PROOF FOUND
%------------------------------------------------------------------------------