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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : NLP257+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n021.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 : Mon Jun 24 12:01:59 EDT 2024

% Result   : Theorem 116.74s 116.80s
% Output   : CNFRefutation 116.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NLP257+1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n021.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   : Sat Jun 22 04:22:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 116.74/116.77  %-------------------------------------------
% 116.74/116.77  % File        :CSE---1.7
% 116.74/116.77  % Problem     :theBenchmark
% 116.74/116.77  % Transform   :cnf
% 116.74/116.77  % Format      :tptp:raw
% 116.74/116.77  % Command     :java -jar mcs_scs.jar %d %s
% 116.74/116.77  
% 116.74/116.77  % Result      :Theorem 116.120000s
% 116.74/116.77  % Output      :CNFRefutation 116.120000s
% 116.74/116.77  %-------------------------------------------
% 116.74/116.78  %--------------------------------------------------------------------------
% 116.74/116.78  % File     : NLP257+1 : TPTP v8.2.0. Released v2.4.0.
% 116.74/116.78  % Domain   : Natural Language Processing
% 116.74/116.78  % Problem  : Vincent believes that every man smokes, problem 38
% 116.74/116.78  % Version  : [Bos00b] axioms.
% 116.74/116.78  % English  : Eliminating non-informative interpretations in the statement
% 116.74/116.78  %            "Vincent believes that every man smokes. Jules is a man.
% 116.74/116.78  %            Vincent believes that jules smokes."
% 116.74/116.78  
% 116.74/116.78  % Refs     : [Bos00a] Bos (2000), DORIS: Discourse Oriented Representation a
% 116.74/116.78  %            [Bos00b] Bos (2000), Applied Theorem Proving - Natural Language
% 116.74/116.78  % Source   : [Bos00b]
% 116.74/116.78  % Names    : doris234 [Bos00b]
% 116.74/116.78  
% 116.74/116.78  % Status   : Theorem
% 116.74/116.78  % Rating   : 0.19 v8.2.0, 0.17 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.30 v5.5.0, 0.37 v5.4.0, 0.39 v5.3.0, 0.44 v5.2.0, 0.20 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.26 v4.0.0, 0.29 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.11 v3.2.0, 0.33 v2.7.0, 0.00 v2.4.0
% 116.74/116.78  % Syntax   : Number of formulae    :   72 (   0 unt;   0 def)
% 116.74/116.78  %            Number of atoms       :  253 (   3 equ)
% 116.74/116.78  %            Maximal formula atoms :   66 (   3 avg)
% 116.74/116.78  %            Number of connectives :  189 (   8   ~;   0   |; 108   &)
% 116.74/116.78  %                                         (   0 <=>;  73  =>;   0  <=;   0 <~>)
% 116.74/116.78  %            Maximal formula depth :   55 (   6 avg)
% 116.74/116.78  %            Maximal term depth    :    1 (   1 avg)
% 116.74/116.78  %            Number of predicates  :   37 (  36 usr;   0 prp; 1-4 aty)
% 116.74/116.78  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 116.74/116.78  %            Number of variables   :  215 ( 190   !;  25   ?)
% 116.74/116.78  % SPC      : FOF_THM_RFO_SEQ
% 116.74/116.78  
% 116.74/116.78  % Comments :
% 116.74/116.78  %--------------------------------------------------------------------------
% 116.74/116.78  fof(ax1,axiom,
% 116.74/116.78      ! [U,V] :
% 116.74/116.78        ( jules_forename(U,V)
% 116.74/116.78       => forename(U,V) ) ).
% 116.74/116.78  
% 116.74/116.78  fof(ax2,axiom,
% 116.74/116.78      ! [U,V] :
% 116.74/116.78        ( vincent_forename(U,V)
% 116.74/116.78       => forename(U,V) ) ).
% 116.74/116.78  
% 116.74/116.78  fof(ax3,axiom,
% 116.74/116.78      ! [U,V] :
% 116.74/116.79        ( relname(U,V)
% 116.74/116.79       => relation(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax4,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( forename(U,V)
% 116.74/116.79       => relname(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax5,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( man(U,V)
% 116.74/116.79       => male(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax6,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( human_person(U,V)
% 116.74/116.79       => animate(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax7,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( human_person(U,V)
% 116.74/116.79       => human(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax8,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( organism(U,V)
% 116.74/116.79       => living(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax9,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( organism(U,V)
% 116.74/116.79       => impartial(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax10,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( entity(U,V)
% 116.74/116.79       => existent(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax11,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( entity(U,V)
% 116.74/116.79       => specific(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax12,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( entity(U,V)
% 116.74/116.79       => thing(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax13,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( organism(U,V)
% 116.74/116.79       => entity(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax14,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( human_person(U,V)
% 116.74/116.79       => organism(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax15,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( man(U,V)
% 116.74/116.79       => human_person(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax16,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( state(U,V)
% 116.74/116.79       => event(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax17,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( state(U,V)
% 116.74/116.79       => eventuality(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax18,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( abstraction(U,V)
% 116.74/116.79       => unisex(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax19,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( abstraction(U,V)
% 116.74/116.79       => general(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax20,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( abstraction(U,V)
% 116.74/116.79       => nonhuman(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax21,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( abstraction(U,V)
% 116.74/116.79       => thing(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax22,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( relation(U,V)
% 116.74/116.79       => abstraction(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax23,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( proposition(U,V)
% 116.74/116.79       => relation(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax24,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( eventuality(U,V)
% 116.74/116.79       => unisex(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax25,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( eventuality(U,V)
% 116.74/116.79       => nonexistent(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax26,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( eventuality(U,V)
% 116.74/116.79       => specific(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax27,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( thing(U,V)
% 116.74/116.79       => singleton(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax28,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( eventuality(U,V)
% 116.74/116.79       => thing(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax29,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( event(U,V)
% 116.74/116.79       => eventuality(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax30,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( smoke(U,V)
% 116.74/116.79       => event(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax31,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( existent(U,V)
% 116.74/116.79       => ~ nonexistent(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax32,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( nonhuman(U,V)
% 116.74/116.79       => ~ human(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax33,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( specific(U,V)
% 116.74/116.79       => ~ general(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax34,axiom,
% 116.74/116.79      ! [U,V] :
% 116.74/116.79        ( unisex(U,V)
% 116.74/116.79       => ~ male(U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax35,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & jules_forename(V,U) )
% 116.74/116.79       => jules_forename(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax36,axiom,
% 116.74/116.79      ! [U,V,W,X] :
% 116.74/116.79        ( ( accessible_world(W,X)
% 116.74/116.79          & of(W,U,V) )
% 116.74/116.79       => of(X,U,V) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax37,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & vincent_forename(V,U) )
% 116.74/116.79       => vincent_forename(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax38,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & relname(V,U) )
% 116.74/116.79       => relname(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax39,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & forename(V,U) )
% 116.74/116.79       => forename(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax40,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & male(V,U) )
% 116.74/116.79       => male(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax41,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & animate(V,U) )
% 116.74/116.79       => animate(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax42,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & human(V,U) )
% 116.74/116.79       => human(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax43,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & living(V,U) )
% 116.74/116.79       => living(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax44,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & impartial(V,U) )
% 116.74/116.79       => impartial(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax45,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & existent(V,U) )
% 116.74/116.79       => existent(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax46,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & entity(V,U) )
% 116.74/116.79       => entity(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax47,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & organism(V,U) )
% 116.74/116.79       => organism(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax48,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.79          & human_person(V,U) )
% 116.74/116.79       => human_person(W,U) ) ).
% 116.74/116.79  
% 116.74/116.79  fof(ax49,axiom,
% 116.74/116.79      ! [U,V,W] :
% 116.74/116.79        ( ( accessible_world(V,W)
% 116.74/116.80          & man(V,U) )
% 116.74/116.80       => man(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax50,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & state(V,U) )
% 116.74/116.80       => state(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax51,axiom,
% 116.74/116.80      ! [U,V,W,X,Y] :
% 116.74/116.80        ( ( accessible_world(X,Y)
% 116.74/116.80          & be(X,U,V,W) )
% 116.74/116.80       => be(Y,U,V,W) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax52,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & general(V,U) )
% 116.74/116.80       => general(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax53,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & nonhuman(V,U) )
% 116.74/116.80       => nonhuman(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax54,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & abstraction(V,U) )
% 116.74/116.80       => abstraction(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax55,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & relation(V,U) )
% 116.74/116.80       => relation(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax56,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & proposition(V,U) )
% 116.74/116.80       => proposition(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax57,axiom,
% 116.74/116.80      ! [U,V,W,X] :
% 116.74/116.80        ( ( accessible_world(W,X)
% 116.74/116.80          & theme(W,U,V) )
% 116.74/116.80       => theme(X,U,V) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax58,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & think_believe_consider(V,U) )
% 116.74/116.80       => think_believe_consider(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax59,axiom,
% 116.74/116.80      ! [U,V,W,X] :
% 116.74/116.80        ( ( accessible_world(W,X)
% 116.74/116.80          & agent(W,U,V) )
% 116.74/116.80       => agent(X,U,V) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax60,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & present(V,U) )
% 116.74/116.80       => present(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax61,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & unisex(V,U) )
% 116.74/116.80       => unisex(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax62,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & nonexistent(V,U) )
% 116.74/116.80       => nonexistent(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax63,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & specific(V,U) )
% 116.74/116.80       => specific(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax64,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & singleton(V,U) )
% 116.74/116.80       => singleton(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax65,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & thing(V,U) )
% 116.74/116.80       => thing(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax66,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & eventuality(V,U) )
% 116.74/116.80       => eventuality(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax67,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & event(V,U) )
% 116.74/116.80       => event(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax68,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( accessible_world(V,W)
% 116.74/116.80          & smoke(V,U) )
% 116.74/116.80       => smoke(W,U) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax69,axiom,
% 116.74/116.80      ! [U,V,W] :
% 116.74/116.80        ( ( entity(U,V)
% 116.74/116.80          & forename(U,W)
% 116.74/116.80          & of(U,W,V) )
% 116.74/116.80       => ~ ? [X] :
% 116.74/116.80              ( forename(U,X)
% 116.74/116.80              & X != W
% 116.74/116.80              & of(U,X,V) ) ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax70,axiom,
% 116.74/116.80      ! [U,V,W,X] :
% 116.74/116.80        ( be(U,V,W,X)
% 116.74/116.80       => W = X ) ).
% 116.74/116.80  
% 116.74/116.80  fof(ax71,axiom,
% 116.74/116.80      ! [U,V,W,X,Y,Z] :
% 116.74/116.80        ( ( think_believe_consider(U,V)
% 116.74/116.80          & proposition(U,Y)
% 116.74/116.80          & theme(U,V,Y)
% 116.74/116.80          & agent(U,V,X)
% 116.74/116.80          & think_believe_consider(U,W)
% 116.74/116.80          & proposition(U,Z)
% 116.74/116.80          & theme(U,W,Z)
% 116.74/116.80          & agent(U,W,X) )
% 116.74/116.80       => Y = Z ) ).
% 116.74/116.80  
% 116.74/116.80  fof(co1,conjecture,
% 116.74/116.80      ~ ( ? [U] :
% 116.74/116.80            ( actual_world(U)
% 116.74/116.80            & ? [V,W,X,Y,Z,X1,X2] :
% 116.74/116.80                ( of(U,W,V)
% 116.74/116.80                & man(U,V)
% 116.74/116.80                & vincent_forename(U,W)
% 116.74/116.80                & forename(U,W)
% 116.74/116.80                & proposition(U,Y)
% 116.74/116.80                & agent(U,X,V)
% 116.74/116.80                & theme(U,X,Y)
% 116.74/116.80                & event(U,X)
% 116.74/116.80                & present(U,X)
% 116.74/116.80                & think_believe_consider(U,X)
% 116.74/116.80                & accessible_world(U,Y)
% 116.74/116.80                & ! [X3] :
% 116.74/116.80                    ( man(Y,X3)
% 116.74/116.80                   => ? [X4] :
% 116.74/116.80                        ( event(Y,X4)
% 116.74/116.80                        & agent(Y,X4,X3)
% 116.74/116.80                        & present(Y,X4)
% 116.74/116.80                        & smoke(Y,X4) ) )
% 116.74/116.80                & of(U,Z,X1)
% 116.74/116.80                & man(U,X1)
% 116.74/116.80                & jules_forename(U,Z)
% 116.74/116.80                & forename(U,Z)
% 116.74/116.80                & man(U,X1)
% 116.74/116.80                & state(U,X2)
% 116.74/116.80                & be(U,X2,X1,X1) ) )
% 116.74/116.80        & ~ ? [X5] :
% 116.74/116.80              ( actual_world(X5)
% 116.74/116.80              & ? [X6,X7,X8,V,W,X,Y,Z,X1,X2,X9,X10] :
% 116.74/116.80                  ( of(X5,X7,X6)
% 116.74/116.80                  & man(X5,X6)
% 116.74/116.80                  & jules_forename(X5,X7)
% 116.74/116.80                  & forename(X5,X7)
% 116.74/116.80                  & of(X5,X8,V)
% 116.74/116.80                  & vincent_forename(X5,X8)
% 116.74/116.80                  & forename(X5,X8)
% 116.74/116.80                  & of(X5,W,V)
% 116.74/116.80                  & man(X5,V)
% 116.74/116.80                  & vincent_forename(X5,W)
% 116.74/116.80                  & forename(X5,W)
% 116.74/116.80                  & proposition(X5,Y)
% 116.74/116.80                  & agent(X5,X,V)
% 116.74/116.80                  & theme(X5,X,Y)
% 116.74/116.80                  & event(X5,X)
% 116.74/116.80                  & present(X5,X)
% 116.74/116.80                  & think_believe_consider(X5,X)
% 116.74/116.80                  & accessible_world(X5,Y)
% 116.74/116.80                  & ! [X3] :
% 116.74/116.80                      ( man(Y,X3)
% 116.74/116.80                     => ? [X4] :
% 116.74/116.80                          ( event(Y,X4)
% 116.74/116.80                          & agent(Y,X4,X3)
% 116.74/116.80                          & present(Y,X4)
% 116.74/116.80                          & smoke(Y,X4) ) )
% 116.74/116.80                  & of(X5,Z,X1)
% 116.74/116.80                  & man(X5,X1)
% 116.74/116.80                  & jules_forename(X5,Z)
% 116.74/116.80                  & forename(X5,Z)
% 116.74/116.80                  & man(X5,X1)
% 116.74/116.80                  & state(X5,X2)
% 116.74/116.80                  & be(X5,X2,X1,X1)
% 116.74/116.80                  & proposition(X5,X10)
% 116.74/116.80                  & agent(X5,X9,V)
% 116.74/116.80                  & theme(X5,X9,X10)
% 116.74/116.80                  & event(X5,X9)
% 116.74/116.80                  & present(X5,X9)
% 116.74/116.80                  & think_believe_consider(X5,X9)
% 116.74/116.80                  & accessible_world(X5,X10)
% 116.74/116.80                  & ? [X11] :
% 116.74/116.80                      ( event(X10,X11)
% 116.74/116.80                      & agent(X10,X11,X6)
% 116.74/116.80                      & present(X10,X11)
% 116.74/116.80                      & smoke(X10,X11) ) ) ) ) ).
% 116.74/116.80  
% 116.74/116.80  %--------------------------------------------------------------------------
% 116.74/116.80  %-------------------------------------------
% 116.74/116.80  % Proof found
% 116.74/116.80  % SZS status Theorem for theBenchmark
% 116.74/116.80  % SZS output start Proof
% 116.74/116.80  %ClaNum:189(EqnAxiom:93)
% 116.74/116.80  %VarNum:600(SingletonVarNum:222)
% 116.74/116.80  %MaxLitNum:40
% 116.74/116.80  %MaxfuncDepth:1
% 116.74/116.80  %SharedTerms:26
% 116.74/116.80  %goalClause: 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 112 143 144 145 180 188 189
% 116.74/116.80  %singleGoalClaCount:18
% 116.74/116.80  [94]P1(a1)
% 116.74/116.80  [95]P4(a1,a3)
% 116.74/116.80  [96]P5(a1,a4)
% 116.74/116.80  [97]P5(a1,a3)
% 116.74/116.80  [98]P17(a1,a4)
% 116.74/116.80  [99]P18(a1,a5)
% 116.74/116.80  [101]P18(a1,a8)
% 116.74/116.80  [102]P21(a1,a9)
% 116.74/116.80  [103]P6(a1,a6)
% 116.74/116.80  [104]P22(a1,a7)
% 116.74/116.80  [105]P2(a1,a7)
% 116.74/116.80  [106]P33(a1,a6)
% 116.74/116.80  [107]P23(a1,a6)
% 116.74/116.80  [108]P24(a1,a4,a5)
% 116.74/116.80  [109]P24(a1,a3,a8)
% 116.74/116.80  [110]P34(a1,a6,a7)
% 116.74/116.80  [111]P7(a1,a6,a5)
% 116.74/116.80  [112]P8(a1,a9,a8,a8)
% 116.74/116.80  [143]~P18(a7,x1431)+P6(a7,f10(x1431))
% 116.74/116.80  [144]~P18(a7,x1441)+P31(a7,f10(x1441))
% 116.74/116.80  [145]~P18(a7,x1451)+P23(a7,f10(x1451))
% 116.74/116.80  [180]~P18(a7,x1801)+P7(a7,f10(x1801),x1801)
% 116.74/116.80  [113]~P4(x1131,x1132)+P5(x1131,x1132)
% 116.74/116.80  [114]~P17(x1141,x1142)+P5(x1141,x1142)
% 116.74/116.80  [115]~P5(x1151,x1152)+P28(x1151,x1152)
% 116.74/116.80  [116]~P28(x1161,x1162)+P29(x1161,x1162)
% 116.74/116.80  [117]~P22(x1171,x1172)+P29(x1171,x1172)
% 116.74/116.80  [118]~P18(x1181,x1182)+P19(x1181,x1182)
% 116.74/116.80  [119]~P18(x1191,x1192)+P13(x1191,x1192)
% 116.74/116.80  [120]~P13(x1201,x1202)+P9(x1201,x1202)
% 116.74/116.80  [121]~P13(x1211,x1212)+P14(x1211,x1212)
% 116.74/116.80  [122]~P13(x1221,x1222)+P27(x1221,x1222)
% 116.74/116.80  [123]~P27(x1231,x1232)+P20(x1231,x1232)
% 116.74/116.80  [124]~P27(x1241,x1242)+P16(x1241,x1242)
% 116.74/116.80  [125]~P27(x1251,x1252)+P10(x1251,x1252)
% 116.74/116.80  [126]~P10(x1261,x1262)+P11(x1261,x1262)
% 116.74/116.80  [127]~P10(x1271,x1272)+P30(x1271,x1272)
% 116.74/116.80  [128]~P12(x1281,x1282)+P30(x1281,x1282)
% 116.74/116.80  [129]~P10(x1291,x1292)+P35(x1291,x1292)
% 116.74/116.80  [130]~P12(x1301,x1302)+P35(x1301,x1302)
% 116.74/116.80  [131]~P3(x1311,x1312)+P35(x1311,x1312)
% 116.74/116.80  [132]~P21(x1321,x1322)+P6(x1321,x1322)
% 116.74/116.80  [133]~P31(x1331,x1332)+P6(x1331,x1332)
% 116.74/116.80  [134]~P21(x1341,x1342)+P12(x1341,x1342)
% 116.74/116.80  [135]~P6(x1351,x1352)+P12(x1351,x1352)
% 116.74/116.80  [136]~P29(x1361,x1362)+P3(x1361,x1362)
% 116.74/116.80  [137]~P12(x1371,x1372)+P36(x1371,x1372)
% 116.74/116.80  [138]~P3(x1381,x1382)+P36(x1381,x1382)
% 116.74/116.80  [139]~P3(x1391,x1392)+P15(x1391,x1392)
% 116.74/116.80  [140]~P3(x1401,x1402)+P25(x1401,x1402)
% 116.74/116.80  [141]~P12(x1411,x1412)+P26(x1411,x1412)
% 116.74/116.80  [142]~P35(x1421,x1422)+P32(x1421,x1422)
% 116.74/116.80  [146]~P36(x1461,x1462)+~P19(x1461,x1462)
% 116.74/116.80  [147]~P25(x1471,x1472)+~P14(x1471,x1472)
% 116.74/116.80  [148]~P26(x1481,x1482)+~P11(x1481,x1482)
% 116.74/116.80  [149]~P15(x1491,x1492)+~P30(x1491,x1492)
% 116.74/116.80  [185]E(x1851,x1852)+~P8(x1853,x1854,x1851,x1852)
% 116.74/116.80  [150]~P2(x1503,x1501)+P4(x1501,x1502)+~P4(x1503,x1502)
% 116.74/116.80  [151]~P2(x1513,x1511)+P5(x1511,x1512)+~P5(x1513,x1512)
% 116.74/116.80  [152]~P2(x1523,x1521)+P17(x1521,x1522)+~P17(x1523,x1522)
% 116.74/116.80  [153]~P2(x1533,x1531)+P28(x1531,x1532)+~P28(x1533,x1532)
% 116.74/116.80  [154]~P2(x1543,x1541)+P29(x1541,x1542)+~P29(x1543,x1542)
% 116.74/116.80  [155]~P2(x1553,x1551)+P18(x1551,x1552)+~P18(x1553,x1552)
% 116.74/116.80  [156]~P2(x1563,x1561)+P19(x1561,x1562)+~P19(x1563,x1562)
% 116.74/116.80  [157]~P2(x1573,x1571)+P13(x1571,x1572)+~P13(x1573,x1572)
% 116.74/116.80  [158]~P2(x1583,x1581)+P9(x1581,x1582)+~P9(x1583,x1582)
% 116.74/116.80  [159]~P2(x1593,x1591)+P14(x1591,x1592)+~P14(x1593,x1592)
% 116.74/116.80  [160]~P2(x1603,x1601)+P27(x1601,x1602)+~P27(x1603,x1602)
% 116.74/116.80  [161]~P2(x1613,x1611)+P20(x1611,x1612)+~P20(x1613,x1612)
% 116.74/116.80  [162]~P2(x1623,x1621)+P16(x1621,x1622)+~P16(x1623,x1622)
% 116.74/116.80  [163]~P2(x1633,x1631)+P10(x1631,x1632)+~P10(x1633,x1632)
% 116.74/116.80  [164]~P2(x1643,x1641)+P11(x1641,x1642)+~P11(x1643,x1642)
% 116.74/116.80  [165]~P2(x1653,x1651)+P30(x1651,x1652)+~P30(x1653,x1652)
% 116.74/116.80  [166]~P2(x1663,x1661)+P35(x1661,x1662)+~P35(x1663,x1662)
% 116.74/116.80  [167]~P2(x1673,x1671)+P21(x1671,x1672)+~P21(x1673,x1672)
% 116.74/116.80  [168]~P2(x1683,x1681)+P6(x1681,x1682)+~P6(x1683,x1682)
% 116.74/116.80  [169]~P2(x1693,x1691)+P12(x1691,x1692)+~P12(x1693,x1692)
% 116.74/116.80  [170]~P2(x1703,x1701)+P3(x1701,x1702)+~P3(x1703,x1702)
% 116.74/116.80  [171]~P2(x1713,x1711)+P36(x1711,x1712)+~P36(x1713,x1712)
% 116.74/116.80  [172]~P2(x1723,x1721)+P15(x1721,x1722)+~P15(x1723,x1722)
% 116.74/116.80  [173]~P2(x1733,x1731)+P25(x1731,x1732)+~P25(x1733,x1732)
% 116.74/116.80  [174]~P2(x1743,x1741)+P22(x1741,x1742)+~P22(x1743,x1742)
% 116.74/116.80  [175]~P2(x1753,x1751)+P26(x1751,x1752)+~P26(x1753,x1752)
% 116.74/116.80  [176]~P2(x1763,x1761)+P32(x1761,x1762)+~P32(x1763,x1762)
% 116.74/116.80  [177]~P2(x1773,x1771)+P31(x1771,x1772)+~P31(x1773,x1772)
% 116.74/116.80  [178]~P33(x1783,x1782)+P33(x1781,x1782)+~P2(x1783,x1781)
% 116.74/116.80  [179]~P23(x1793,x1792)+P23(x1791,x1792)+~P2(x1793,x1791)
% 116.74/116.80  [181]~P24(x1814,x1812,x1813)+P24(x1811,x1812,x1813)+~P2(x1814,x1811)
% 116.74/116.80  [182]~P34(x1824,x1822,x1823)+P34(x1821,x1822,x1823)+~P2(x1824,x1821)
% 116.74/116.80  [183]~P7(x1834,x1832,x1833)+P7(x1831,x1832,x1833)+~P2(x1834,x1831)
% 116.74/116.80  [187]~P8(x1875,x1872,x1873,x1874)+P8(x1871,x1872,x1873,x1874)+~P2(x1875,x1871)
% 116.74/116.80  [184]~P5(x1843,x1841)+~P24(x1843,x1842,x1844)+~P24(x1843,x1841,x1844)+E(x1841,x1842)+~P5(x1843,x1842)+~P10(x1843,x1844)
% 116.74/116.80  [186]~P22(x1863,x1861)+~P34(x1863,x1864,x1862)+~P34(x1863,x1865,x1861)+~P7(x1863,x1865,x1866)+E(x1861,x1862)+~P22(x1863,x1862)+~P33(x1863,x1864)+~P7(x1863,x1864,x1866)+~P33(x1863,x1865)
% 116.74/116.80  [188]P18(x1881,f2(x1882,x1883,x1884,x1885,x1886,x1887,x1888,x1881,x1889,x18810,x18811,x18812,x18813))+~P1(x1882)+~P4(x1882,x1889)+~P4(x1882,x1884)+~P5(x1882,x1889)+~P5(x1882,x1887)+~P5(x1882,x1885)+~P5(x1882,x1884)+~P17(x1882,x1887)+~P17(x1882,x1885)+~P18(x1882,x18810)+~P18(x1882,x1886)+~P18(x1882,x1883)+~P21(x1882,x18811)+~P6(x18813,x18814)+~P6(x1882,x18812)+~P6(x1882,x1888)+~P22(x1882,x18813)+~P22(x1882,x1881)+~P31(x18813,x18814)+~P2(x1882,x18813)+~P2(x1882,x1881)+~P33(x1882,x18812)+~P33(x1882,x1888)+~P23(x18813,x18814)+~P23(x1882,x18812)+~P23(x1882,x1888)+~P24(x1882,x1889,x18810)+~P24(x1882,x1887,x1886)+~P24(x1882,x1885,x1886)+~P24(x1882,x1884,x1883)+~P34(x1882,x18812,x18813)+~P34(x1882,x1888,x1881)+~P7(x18813,x18814,x1883)+~P7(x1882,x18812,x1886)+~P7(x1882,x1888,x1886)+~P8(x1882,x18811,x18810,x18810)
% 116.74/116.80  [189]~P1(x1891)+~P4(x1891,x1892)+~P4(x1891,x1893)+~P5(x1891,x1892)+~P5(x1891,x1894)+~P5(x1891,x1895)+~P5(x1891,x1893)+~P17(x1891,x1894)+~P17(x1891,x1895)+~P18(x1891,x1896)+~P18(x1891,x1897)+~P18(x1891,x1898)+~P21(x1891,x1899)+~P6(x18910,x18911)+~P6(x1891,x18912)+~P6(x1891,x18913)+~P6(x18914,x18915)+~P22(x1891,x18910)+~P22(x1891,x18914)+~P31(x18910,x18911)+~P31(x18914,x18915)+~P2(x1891,x18910)+~P2(x1891,x18914)+~P33(x1891,x18912)+~P33(x1891,x18913)+~P23(x18910,x18911)+~P23(x1891,x18912)+~P23(x1891,x18913)+~P23(x18914,x18915)+~P24(x1891,x1892,x1896)+~P24(x1891,x1894,x1897)+~P24(x1891,x1895,x1897)+~P24(x1891,x1893,x1898)+~P34(x1891,x18912,x18910)+~P34(x1891,x18913,x18914)+~P7(x18910,x18911,x1898)+~P7(x1891,x18912,x1897)+~P7(x1891,x18913,x1897)+~P8(x1891,x1899,x1896,x1896)+~P7(x18914,x18915,f2(x1891,x1898,x1893,x1895,x1897,x1894,x18913,x18914,x1892,x1896,x1899,x18912,x18910))
% 116.74/116.80  %EqnAxiom
% 116.74/116.80  [1]E(x11,x11)
% 116.74/116.80  [2]E(x22,x21)+~E(x21,x22)
% 116.74/116.80  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 116.74/116.80  [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 116.74/116.80  [5]~E(x51,x52)+E(f2(x51,x53,x54,x55,x56,x57,x58,x59,x510,x511,x512,x513,x514),f2(x52,x53,x54,x55,x56,x57,x58,x59,x510,x511,x512,x513,x514))
% 116.74/116.80  [6]~E(x61,x62)+E(f2(x63,x61,x64,x65,x66,x67,x68,x69,x610,x611,x612,x613,x614),f2(x63,x62,x64,x65,x66,x67,x68,x69,x610,x611,x612,x613,x614))
% 116.74/116.80  [7]~E(x71,x72)+E(f2(x73,x74,x71,x75,x76,x77,x78,x79,x710,x711,x712,x713,x714),f2(x73,x74,x72,x75,x76,x77,x78,x79,x710,x711,x712,x713,x714))
% 116.74/116.80  [8]~E(x81,x82)+E(f2(x83,x84,x85,x81,x86,x87,x88,x89,x810,x811,x812,x813,x814),f2(x83,x84,x85,x82,x86,x87,x88,x89,x810,x811,x812,x813,x814))
% 116.74/116.80  [9]~E(x91,x92)+E(f2(x93,x94,x95,x96,x91,x97,x98,x99,x910,x911,x912,x913,x914),f2(x93,x94,x95,x96,x92,x97,x98,x99,x910,x911,x912,x913,x914))
% 116.74/116.80  [10]~E(x101,x102)+E(f2(x103,x104,x105,x106,x107,x101,x108,x109,x1010,x1011,x1012,x1013,x1014),f2(x103,x104,x105,x106,x107,x102,x108,x109,x1010,x1011,x1012,x1013,x1014))
% 116.74/116.80  [11]~E(x111,x112)+E(f2(x113,x114,x115,x116,x117,x118,x111,x119,x1110,x1111,x1112,x1113,x1114),f2(x113,x114,x115,x116,x117,x118,x112,x119,x1110,x1111,x1112,x1113,x1114))
% 116.74/116.80  [12]~E(x121,x122)+E(f2(x123,x124,x125,x126,x127,x128,x129,x121,x1210,x1211,x1212,x1213,x1214),f2(x123,x124,x125,x126,x127,x128,x129,x122,x1210,x1211,x1212,x1213,x1214))
% 116.74/116.80  [13]~E(x131,x132)+E(f2(x133,x134,x135,x136,x137,x138,x139,x1310,x131,x1311,x1312,x1313,x1314),f2(x133,x134,x135,x136,x137,x138,x139,x1310,x132,x1311,x1312,x1313,x1314))
% 116.74/116.80  [14]~E(x141,x142)+E(f2(x143,x144,x145,x146,x147,x148,x149,x1410,x1411,x141,x1412,x1413,x1414),f2(x143,x144,x145,x146,x147,x148,x149,x1410,x1411,x142,x1412,x1413,x1414))
% 116.74/116.80  [15]~E(x151,x152)+E(f2(x153,x154,x155,x156,x157,x158,x159,x1510,x1511,x1512,x151,x1513,x1514),f2(x153,x154,x155,x156,x157,x158,x159,x1510,x1511,x1512,x152,x1513,x1514))
% 116.74/116.80  [16]~E(x161,x162)+E(f2(x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612,x1613,x161,x1614),f2(x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612,x1613,x162,x1614))
% 116.74/116.80  [17]~E(x171,x172)+E(f2(x173,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712,x1713,x1714,x171),f2(x173,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712,x1713,x1714,x172))
% 116.74/116.80  [18]~P1(x181)+P1(x182)+~E(x181,x182)
% 116.74/116.80  [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 116.74/116.80  [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 116.74/116.80  [21]P5(x212,x213)+~E(x211,x212)+~P5(x211,x213)
% 116.74/116.80  [22]P5(x223,x222)+~E(x221,x222)+~P5(x223,x221)
% 116.74/116.80  [23]P24(x232,x233,x234)+~E(x231,x232)+~P24(x231,x233,x234)
% 116.74/116.80  [24]P24(x243,x242,x244)+~E(x241,x242)+~P24(x243,x241,x244)
% 116.74/116.80  [25]P24(x253,x254,x252)+~E(x251,x252)+~P24(x253,x254,x251)
% 116.74/116.80  [26]P17(x262,x263)+~E(x261,x262)+~P17(x261,x263)
% 116.74/116.80  [27]P17(x273,x272)+~E(x271,x272)+~P17(x273,x271)
% 116.74/116.80  [28]P18(x282,x283)+~E(x281,x282)+~P18(x281,x283)
% 116.74/116.80  [29]P18(x293,x292)+~E(x291,x292)+~P18(x293,x291)
% 116.74/116.80  [30]P34(x302,x303,x304)+~E(x301,x302)+~P34(x301,x303,x304)
% 116.74/116.80  [31]P34(x313,x312,x314)+~E(x311,x312)+~P34(x313,x311,x314)
% 116.74/116.80  [32]P34(x323,x324,x322)+~E(x321,x322)+~P34(x323,x324,x321)
% 116.74/116.80  [33]P22(x332,x333)+~E(x331,x332)+~P22(x331,x333)
% 116.74/116.81  [34]P22(x343,x342)+~E(x341,x342)+~P22(x343,x341)
% 116.74/116.81  [35]P21(x352,x353)+~E(x351,x352)+~P21(x351,x353)
% 116.74/116.81  [36]P21(x363,x362)+~E(x361,x362)+~P21(x363,x361)
% 116.74/116.81  [37]P6(x372,x373)+~E(x371,x372)+~P6(x371,x373)
% 116.74/116.81  [38]P6(x383,x382)+~E(x381,x382)+~P6(x383,x381)
% 116.74/116.81  [39]P31(x392,x393)+~E(x391,x392)+~P31(x391,x393)
% 116.74/116.81  [40]P31(x403,x402)+~E(x401,x402)+~P31(x403,x401)
% 116.74/116.81  [41]P2(x412,x413)+~E(x411,x412)+~P2(x411,x413)
% 116.74/116.81  [42]P2(x423,x422)+~E(x421,x422)+~P2(x423,x421)
% 116.74/116.81  [43]P33(x432,x433)+~E(x431,x432)+~P33(x431,x433)
% 116.74/116.81  [44]P33(x443,x442)+~E(x441,x442)+~P33(x443,x441)
% 116.74/116.81  [45]P23(x452,x453)+~E(x451,x452)+~P23(x451,x453)
% 116.74/116.81  [46]P23(x463,x462)+~E(x461,x462)+~P23(x463,x461)
% 116.74/116.81  [47]P7(x472,x473,x474)+~E(x471,x472)+~P7(x471,x473,x474)
% 116.74/116.81  [48]P7(x483,x482,x484)+~E(x481,x482)+~P7(x483,x481,x484)
% 116.74/116.81  [49]P7(x493,x494,x492)+~E(x491,x492)+~P7(x493,x494,x491)
% 116.74/116.81  [50]P8(x502,x503,x504,x505)+~E(x501,x502)+~P8(x501,x503,x504,x505)
% 116.74/116.81  [51]P8(x513,x512,x514,x515)+~E(x511,x512)+~P8(x513,x511,x514,x515)
% 116.74/116.81  [52]P8(x523,x524,x522,x525)+~E(x521,x522)+~P8(x523,x524,x521,x525)
% 116.74/116.81  [53]P8(x533,x534,x535,x532)+~E(x531,x532)+~P8(x533,x534,x535,x531)
% 116.74/116.81  [54]P20(x542,x543)+~E(x541,x542)+~P20(x541,x543)
% 116.74/116.81  [55]P20(x553,x552)+~E(x551,x552)+~P20(x553,x551)
% 116.74/116.81  [56]P26(x562,x563)+~E(x561,x562)+~P26(x561,x563)
% 116.74/116.81  [57]P26(x573,x572)+~E(x571,x572)+~P26(x573,x571)
% 116.74/116.81  [58]P13(x582,x583)+~E(x581,x582)+~P13(x581,x583)
% 116.74/116.81  [59]P13(x593,x592)+~E(x591,x592)+~P13(x593,x591)
% 116.74/116.81  [60]P29(x602,x603)+~E(x601,x602)+~P29(x601,x603)
% 116.74/116.81  [61]P29(x613,x612)+~E(x611,x612)+~P29(x613,x611)
% 116.74/116.81  [62]P15(x622,x623)+~E(x621,x622)+~P15(x621,x623)
% 116.74/116.81  [63]P15(x633,x632)+~E(x631,x632)+~P15(x633,x631)
% 116.74/116.81  [64]P3(x642,x643)+~E(x641,x642)+~P3(x641,x643)
% 116.74/116.81  [65]P3(x653,x652)+~E(x651,x652)+~P3(x653,x651)
% 116.74/116.81  [66]P27(x662,x663)+~E(x661,x662)+~P27(x661,x663)
% 116.74/116.81  [67]P27(x673,x672)+~E(x671,x672)+~P27(x673,x671)
% 116.74/116.81  [68]P28(x682,x683)+~E(x681,x682)+~P28(x681,x683)
% 116.74/116.81  [69]P28(x693,x692)+~E(x691,x692)+~P28(x693,x691)
% 116.74/116.81  [70]P11(x702,x703)+~E(x701,x702)+~P11(x701,x703)
% 116.74/116.81  [71]P11(x713,x712)+~E(x711,x712)+~P11(x713,x711)
% 116.74/116.81  [72]P19(x722,x723)+~E(x721,x722)+~P19(x721,x723)
% 116.74/116.81  [73]P19(x733,x732)+~E(x731,x732)+~P19(x733,x731)
% 116.74/116.81  [74]P10(x742,x743)+~E(x741,x742)+~P10(x741,x743)
% 116.74/116.81  [75]P10(x753,x752)+~E(x751,x752)+~P10(x753,x751)
% 116.74/116.81  [76]P12(x762,x763)+~E(x761,x762)+~P12(x761,x763)
% 116.74/116.81  [77]P12(x773,x772)+~E(x771,x772)+~P12(x773,x771)
% 116.74/116.81  [78]P35(x782,x783)+~E(x781,x782)+~P35(x781,x783)
% 116.74/116.81  [79]P35(x793,x792)+~E(x791,x792)+~P35(x793,x791)
% 116.74/116.81  [80]P36(x802,x803)+~E(x801,x802)+~P36(x801,x803)
% 116.74/116.81  [81]P36(x813,x812)+~E(x811,x812)+~P36(x813,x811)
% 116.74/116.81  [82]P25(x822,x823)+~E(x821,x822)+~P25(x821,x823)
% 116.74/116.81  [83]P25(x833,x832)+~E(x831,x832)+~P25(x833,x831)
% 116.74/116.81  [84]P32(x842,x843)+~E(x841,x842)+~P32(x841,x843)
% 116.74/116.81  [85]P32(x853,x852)+~E(x851,x852)+~P32(x853,x851)
% 116.74/116.81  [86]P14(x862,x863)+~E(x861,x862)+~P14(x861,x863)
% 116.74/116.81  [87]P14(x873,x872)+~E(x871,x872)+~P14(x873,x871)
% 116.74/116.81  [88]P9(x882,x883)+~E(x881,x882)+~P9(x881,x883)
% 116.74/116.81  [89]P9(x893,x892)+~E(x891,x892)+~P9(x893,x891)
% 116.74/116.81  [90]P30(x902,x903)+~E(x901,x902)+~P30(x901,x903)
% 116.74/116.81  [91]P30(x913,x912)+~E(x911,x912)+~P30(x913,x911)
% 116.74/116.81  [92]P16(x922,x923)+~E(x921,x922)+~P16(x921,x923)
% 116.74/116.81  [93]P16(x933,x932)+~E(x931,x932)+~P16(x933,x931)
% 116.74/116.81  
% 116.74/116.81  %-------------------------------------------
% 116.74/116.81  cnf(192,plain,
% 116.74/116.81     (P5(a7,a4)),
% 116.74/116.81     inference(scs_inference,[],[95,96,105,150,151])).
% 116.74/116.81  cnf(196,plain,
% 116.74/116.81     (P18(a7,a5)),
% 116.74/116.81     inference(scs_inference,[],[95,96,98,99,105,150,151,152,155])).
% 116.74/116.81  cnf(200,plain,
% 116.74/116.81     (P6(a7,a6)),
% 116.74/116.81     inference(scs_inference,[],[95,96,98,99,102,103,105,150,151,152,155,167,168])).
% 116.74/116.81  cnf(202,plain,
% 116.74/116.81     (P22(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[95,96,98,99,102,103,104,105,150,151,152,155,167,168,174])).
% 116.74/116.81  cnf(230,plain,
% 116.74/116.81     (P18(a7,a8)),
% 116.74/116.81     inference(scs_inference,[],[101,109,105,181,155])).
% 116.74/116.81  cnf(342,plain,
% 116.74/116.81     (P6(a7,x3421)+~E(a6,x3421)),
% 116.74/116.81     inference(scs_inference,[],[200,38])).
% 116.74/116.81  cnf(420,plain,
% 116.74/116.81     (P28(a1,a3)),
% 116.74/116.81     inference(scs_inference,[],[95,113,115])).
% 116.74/116.81  cnf(421,plain,
% 116.74/116.81     (P28(a7,a3)),
% 116.74/116.81     inference(scs_inference,[],[105,420,153])).
% 116.74/116.81  cnf(424,plain,
% 116.74/116.81     (P28(a1,x4241)+~E(a3,x4241)),
% 116.74/116.81     inference(scs_inference,[],[105,420,153,68,69])).
% 116.74/116.81  cnf(450,plain,
% 116.74/116.81     (P28(a1,a4)),
% 116.74/116.81     inference(scs_inference,[],[98,114,115])).
% 116.74/116.81  cnf(451,plain,
% 116.74/116.81     (P28(a7,a4)),
% 116.74/116.81     inference(scs_inference,[],[105,450,153])).
% 116.74/116.81  cnf(480,plain,
% 116.74/116.81     (P3(a7,a3)),
% 116.74/116.81     inference(scs_inference,[],[421,116,136])).
% 116.74/116.81  cnf(503,plain,
% 116.74/116.81     (P3(a1,a7)),
% 116.74/116.81     inference(scs_inference,[],[104,117,136])).
% 116.74/116.81  cnf(504,plain,
% 116.74/116.81     (P3(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[105,503,170])).
% 116.74/116.81  cnf(506,plain,
% 116.74/116.81     (P3(a1,x5061)+~E(a7,x5061)),
% 116.74/116.81     inference(scs_inference,[],[105,503,170,65])).
% 116.74/116.81  cnf(638,plain,
% 116.74/116.81     (~P13(x6381,x6382)+~P25(x6381,x6382)),
% 116.74/116.81     inference(scs_inference,[],[121,147])).
% 116.74/116.81  cnf(686,plain,
% 116.74/116.81     (P11(x6861,x6862)+~P27(x6861,x6862)),
% 116.74/116.81     inference(scs_inference,[],[125,126])).
% 116.74/116.81  cnf(702,plain,
% 116.74/116.81     (~P10(x7021,x7022)+~P15(x7021,x7022)),
% 116.74/116.81     inference(scs_inference,[],[127,149])).
% 116.74/116.81  cnf(718,plain,
% 116.74/116.81     (~P12(x7181,x7182)+~P15(x7181,x7182)),
% 116.74/116.81     inference(scs_inference,[],[128,149])).
% 116.74/116.81  cnf(734,plain,
% 116.74/116.81     (P32(x7341,x7342)+~P10(x7341,x7342)),
% 116.74/116.81     inference(scs_inference,[],[129,142])).
% 116.74/116.81  cnf(750,plain,
% 116.74/116.81     (P32(x7501,x7502)+~P12(x7501,x7502)),
% 116.74/116.81     inference(scs_inference,[],[130,142])).
% 116.74/116.81  cnf(789,plain,
% 116.74/116.81     (P12(a1,a9)),
% 116.74/116.81     inference(scs_inference,[],[102,132,135])).
% 116.74/116.81  cnf(792,plain,
% 116.74/116.81     (P12(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[105,789,750,169])).
% 116.74/116.81  cnf(832,plain,
% 116.74/116.81     (~P10(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[504,139,702])).
% 116.74/116.81  cnf(833,plain,
% 116.74/116.81     (~P27(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[832,125])).
% 116.74/116.81  cnf(835,plain,
% 116.74/116.81     (~P13(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[832,125,122])).
% 116.74/116.81  cnf(876,plain,
% 116.74/116.81     (~P11(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[792,141,148])).
% 116.74/116.81  cnf(1129,plain,
% 116.74/116.81     (~P25(a1,x11291)+~P13(a7,x11291)),
% 116.74/116.81     inference(scs_inference,[],[105,638,173])).
% 116.74/116.81  cnf(1215,plain,
% 116.74/116.81     (~P3(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[792,718,139])).
% 116.74/116.81  cnf(1216,plain,
% 116.74/116.81     (~P29(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[1215,136])).
% 116.74/116.81  cnf(1224,plain,
% 116.74/116.81     (~E(a4,a9)),
% 116.74/116.81     inference(scs_inference,[],[192,1215,136,117,116,115,22])).
% 116.74/116.81  cnf(1227,plain,
% 116.74/116.81     (~P4(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[202,192,421,1215,136,117,116,115,22,69,34,113])).
% 116.74/116.81  cnf(1229,plain,
% 116.74/116.81     (~P17(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[202,192,421,1215,136,117,116,115,22,69,34,113,114])).
% 116.74/116.81  cnf(1254,plain,
% 116.74/116.81     (P32(x12541,x12542)+~P27(x12541,x12542)),
% 116.74/116.81     inference(scs_inference,[],[734,125])).
% 116.74/116.81  cnf(1479,plain,
% 116.74/116.81     (P32(x14791,x14792)+~P13(x14791,x14792)),
% 116.74/116.81     inference(scs_inference,[],[1254,122])).
% 116.74/116.81  cnf(1750,plain,
% 116.74/116.81     (P23(a7,f10(a5))),
% 116.74/116.81     inference(scs_inference,[],[99,105,145,155])).
% 116.74/116.81  cnf(1883,plain,
% 116.74/116.81     (P7(a7,f10(a8),a8)),
% 116.74/116.81     inference(scs_inference,[],[101,105,180,155])).
% 116.74/116.81  cnf(1885,plain,
% 116.74/116.81     (P7(a7,x18851,a8)+~E(f10(a8),x18851)),
% 116.74/116.81     inference(scs_inference,[],[1883,47,48])).
% 116.74/116.81  cnf(2819,plain,
% 116.74/116.81     (P31(x28191,f10(a8))+~E(a7,x28191)),
% 116.74/116.81     inference(scs_inference,[],[230,39,144])).
% 116.74/116.81  cnf(2820,plain,
% 116.74/116.81     (P31(a7,f10(a8))),
% 116.74/116.81     inference(equality_inference,[],[2819])).
% 116.74/116.81  cnf(3167,plain,
% 116.74/116.81     (~P26(a1,x31671)+P26(x31672,x31671)+~E(a7,x31672)),
% 116.74/116.81     inference(scs_inference,[],[105,56,175])).
% 116.74/116.81  cnf(3168,plain,
% 116.74/116.81     (P26(a7,x31681)+~P26(a1,x31681)),
% 116.74/116.81     inference(equality_inference,[],[3167])).
% 116.74/116.81  cnf(3184,plain,
% 116.74/116.81     (P26(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[789,3168,141])).
% 116.74/116.81  cnf(3188,plain,
% 116.74/116.81     (P26(a7,x31881)+~E(a9,x31881)),
% 116.74/116.81     inference(scs_inference,[],[3184,175,56,57])).
% 116.74/116.81  cnf(3240,plain,
% 116.74/116.81     (~P13(a1,x32401)+~E(x32401,a7)),
% 116.74/116.81     inference(scs_inference,[],[835,105,59,157])).
% 116.74/116.81  cnf(3241,plain,
% 116.74/116.81     (~P13(a1,a7)),
% 116.74/116.81     inference(equality_inference,[],[3240])).
% 116.74/116.81  cnf(3324,plain,
% 116.74/116.81     (~P15(a1,x33241)+P15(x33242,x33241)+~E(a7,x33242)),
% 116.74/116.81     inference(scs_inference,[],[105,62,172])).
% 116.74/116.81  cnf(3325,plain,
% 116.74/116.81     (P15(a7,x33251)+~P15(a1,x33251)),
% 116.74/116.81     inference(equality_inference,[],[3324])).
% 116.74/116.81  cnf(3341,plain,
% 116.74/116.81     (P15(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[503,3325,139])).
% 116.74/116.81  cnf(3344,plain,
% 116.74/116.81     (~P21(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[3341,718,134])).
% 116.74/116.81  cnf(3348,plain,
% 116.74/116.81     (~P31(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[3341,718,134,135,133])).
% 116.74/116.81  cnf(3933,plain,
% 116.74/116.81     (~P27(a7,x39331)+~E(x39331,a9)),
% 116.74/116.81     inference(scs_inference,[],[876,71,686])).
% 116.74/116.81  cnf(3950,plain,
% 116.74/116.81     (~P19(a1,x39501)+P19(a7,x39502)+~E(x39501,x39502)),
% 116.74/116.81     inference(scs_inference,[],[105,73,156])).
% 116.74/116.81  cnf(3951,plain,
% 116.74/116.81     (~P19(a1,x39511)+P19(a7,x39511)),
% 116.74/116.81     inference(equality_inference,[],[3950])).
% 116.74/116.81  cnf(3967,plain,
% 116.74/116.81     (P19(a7,a5)),
% 116.74/116.81     inference(scs_inference,[],[99,3951,118])).
% 116.74/116.81  cnf(3968,plain,
% 116.74/116.81     (~P36(a7,a5)),
% 116.74/116.81     inference(scs_inference,[],[3967,146])).
% 116.74/116.81  cnf(3970,plain,
% 116.74/116.81     (~P12(a7,a5)),
% 116.74/116.81     inference(scs_inference,[],[3967,146,137])).
% 116.74/116.81  cnf(3974,plain,
% 116.74/116.81     (~P6(a7,a5)),
% 116.74/116.81     inference(scs_inference,[],[3967,146,137,138,135])).
% 116.74/116.81  cnf(3982,plain,
% 116.74/116.81     (~P31(a7,a5)),
% 116.74/116.81     inference(scs_inference,[],[3967,146,137,138,135,136,134,116,133])).
% 116.74/116.81  cnf(4035,plain,
% 116.74/116.81     (~P36(a7,x40351)+~E(a5,x40351)),
% 116.74/116.81     inference(scs_inference,[],[3967,73,146])).
% 116.74/116.81  cnf(4102,plain,
% 116.74/116.81     (~P27(a7,x41021)+~E(x41021,a7)),
% 116.74/116.81     inference(scs_inference,[],[832,75,125])).
% 116.74/116.81  cnf(4415,plain,
% 116.74/116.81     (P12(a1,a6)),
% 116.74/116.81     inference(scs_inference,[],[103,135])).
% 116.74/116.81  cnf(4423,plain,
% 116.74/116.81     (P12(a7,a6)),
% 116.74/116.81     inference(scs_inference,[],[105,103,104,451,135,117,116,154,169])).
% 116.74/116.81  cnf(4427,plain,
% 116.74/116.81     (P3(a7,a4)),
% 116.74/116.81     inference(scs_inference,[],[105,103,104,451,135,117,116,154,169,750,136])).
% 116.74/116.81  cnf(4445,plain,
% 116.74/116.81     (P3(a1,a3)),
% 116.74/116.81     inference(scs_inference,[],[420,116,136])).
% 116.74/116.81  cnf(4463,plain,
% 116.74/116.81     (P3(a1,a4)),
% 116.74/116.81     inference(scs_inference,[],[504,450,116,138,136])).
% 116.74/116.81  cnf(4475,plain,
% 116.74/116.81     (P6(a7,f10(a8))),
% 116.74/116.81     inference(scs_inference,[],[2820,133])).
% 116.74/116.81  cnf(4477,plain,
% 116.74/116.81     (P36(a1,a7)),
% 116.74/116.81     inference(scs_inference,[],[2820,503,133,138])).
% 116.74/116.81  cnf(4479,plain,
% 116.74/116.81     (P12(a7,f10(a8))),
% 116.74/116.81     inference(scs_inference,[],[2820,503,133,138,135])).
% 116.74/116.81  cnf(4496,plain,
% 116.74/116.81     (P36(a7,a3)),
% 116.74/116.81     inference(scs_inference,[],[480,138])).
% 116.74/116.81  cnf(4515,plain,
% 116.74/116.81     (P36(a7,a4)),
% 116.74/116.81     inference(scs_inference,[],[4427,4477,146,138])).
% 116.74/116.81  cnf(4520,plain,
% 116.74/116.81     (P36(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[792,3968,4427,4477,146,138,81,185,137])).
% 116.74/116.81  cnf(4531,plain,
% 116.74/116.81     (~P19(a7,a3)),
% 116.74/116.81     inference(scs_inference,[],[789,4496,137,146])).
% 116.74/116.81  cnf(4536,plain,
% 116.74/116.81     (~P18(a7,a3)),
% 116.74/116.81     inference(scs_inference,[],[789,4445,3968,4496,4520,137,146,138,81,118])).
% 116.74/116.81  cnf(4545,plain,
% 116.74/116.81     (P36(a1,a6)),
% 116.74/116.81     inference(scs_inference,[],[4415,137])).
% 116.74/116.81  cnf(4549,plain,
% 116.74/116.81     (P36(a1,a4)),
% 116.74/116.81     inference(scs_inference,[],[4415,4463,4515,137,146,138])).
% 116.74/116.81  cnf(4551,plain,
% 116.74/116.81     (P36(a7,a6)),
% 116.74/116.81     inference(scs_inference,[],[105,4415,4463,4515,137,146,138,171])).
% 116.74/116.81  cnf(4566,plain,
% 116.74/116.81     (~P19(a7,a9)),
% 116.74/116.81     inference(scs_inference,[],[4479,4520,137,146])).
% 116.74/116.81  cnf(4583,plain,
% 116.74/116.81     (~P18(a1,a3)),
% 116.74/116.81     inference(scs_inference,[],[105,4536,4549,4531,146,156,155])).
% 116.74/116.81  cnf(4597,plain,
% 116.74/116.81     (~P19(a1,a9)),
% 116.74/116.81     inference(scs_inference,[],[105,4551,4566,146,156])).
% 116.74/116.81  cnf(4599,plain,
% 116.74/116.81     (~P18(a7,a6)),
% 116.74/116.81     inference(scs_inference,[],[105,4551,4566,146,156,118])).
% 116.74/116.81  cnf(4611,plain,
% 116.74/116.81     (~P29(a1,a9)),
% 116.74/116.81     inference(scs_inference,[],[105,1216,4545,146,154])).
% 116.74/116.81  cnf(4614,plain,
% 116.74/116.81     (~P18(a1,a6)),
% 116.74/116.81     inference(scs_inference,[],[105,99,4583,4599,1216,4545,146,154,29,155])).
% 116.74/116.81  cnf(4620,plain,
% 116.74/116.81     (~P30(a7,a7)),
% 116.74/116.81     inference(scs_inference,[],[105,99,4583,4597,4599,3341,1216,4545,146,154,29,155,185,156,149])).
% 116.74/116.81  cnf(4663,plain,
% 116.74/116.82     (~P30(a1,a7)),
% 116.74/116.82     inference(scs_inference,[],[105,102,99,792,504,789,3241,1224,4614,833,4620,130,29,131,2,128,132,185,157,160,165])).
% 116.74/116.82  cnf(4679,plain,
% 116.74/116.82     (P30(a1,a9)),
% 116.74/116.82     inference(scs_inference,[],[789,128])).
% 116.74/116.82  cnf(4744,plain,
% 116.74/116.82     (P30(a7,f10(a8))),
% 116.74/116.82     inference(scs_inference,[],[4479,128])).
% 116.74/116.82  cnf(5763,plain,
% 116.74/116.82     (P26(a7,a6)),
% 116.74/116.82     inference(scs_inference,[],[4463,4423,139,141])).
% 116.74/116.82  cnf(5765,plain,
% 116.74/116.82     (P6(a7,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[4463,4423,196,139,141,143])).
% 116.74/116.82  cnf(5767,plain,
% 116.74/116.82     (P31(a7,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[4463,4423,196,139,141,143,144])).
% 116.74/116.82  cnf(5769,plain,
% 116.74/116.82     (P23(a7,f10(a8))),
% 116.74/116.82     inference(scs_inference,[],[4463,4423,230,196,139,141,143,144,145])).
% 116.74/116.82  cnf(5777,plain,
% 116.74/116.82     (P13(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[4679,4463,4423,4611,230,196,139,141,143,144,145,180,116,149,119])).
% 116.74/116.82  cnf(5779,plain,
% 116.74/116.82     (~P15(a7,a6)),
% 116.74/116.82     inference(scs_inference,[],[4679,4463,4423,4611,230,196,139,141,143,144,145,180,116,149,119,718])).
% 116.74/116.82  cnf(5787,plain,
% 116.74/116.82     (P27(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[4679,4463,4423,4611,4663,230,196,139,141,143,144,145,180,116,149,119,718,140,115,128,122])).
% 116.74/116.82  cnf(5789,plain,
% 116.74/116.82     (~P6(a1,a7)),
% 116.74/116.82     inference(scs_inference,[],[4679,4463,4423,4611,4663,230,196,139,141,143,144,145,180,116,149,119,718,140,115,128,122,135])).
% 116.74/116.82  cnf(5791,plain,
% 116.74/116.82     (P19(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[4679,4463,4423,4611,4663,230,196,139,141,143,144,145,180,116,149,119,718,140,115,128,122,135,118])).
% 116.74/116.82  cnf(5795,plain,
% 116.74/116.82     (P15(a7,a4)),
% 116.74/116.82     inference(scs_inference,[],[4679,4463,4423,4611,876,4663,230,196,105,139,141,143,144,145,180,116,149,119,718,140,115,128,122,135,118,164,172])).
% 116.74/116.82  cnf(5807,plain,
% 116.74/116.82     (~P36(a1,a5)),
% 116.74/116.82     inference(scs_inference,[],[1229,3344,1227,3970,4679,4463,4423,4611,3968,876,4663,230,196,105,139,141,143,144,145,180,116,149,119,718,140,115,128,122,135,118,164,172,173,167,152,169,150,171])).
% 116.74/116.82  cnf(5811,plain,
% 116.74/116.82     (~P6(a1,a5)),
% 116.74/116.82     inference(scs_inference,[],[1229,3344,1227,3974,3982,3970,4679,4463,4423,4611,3968,876,4663,230,196,105,139,141,143,144,145,180,116,149,119,718,140,115,128,122,135,118,164,172,173,167,152,169,150,171,177,168])).
% 116.74/116.82  cnf(5813,plain,
% 116.74/116.82     (~P7(a7,f10(a8),f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[94,1229,3344,1227,3974,3982,3970,4679,4475,4463,4423,4611,1883,3968,876,4663,230,196,95,103,98,107,112,101,2820,99,102,110,104,97,105,111,106,96,109,108,139,141,143,144,145,180,116,149,119,718,140,115,128,122,135,118,164,172,173,167,152,169,150,171,177,168,189])).
% 116.74/116.82  cnf(5819,plain,
% 116.74/116.82     (~P13(a7,a4)),
% 116.74/116.82     inference(scs_inference,[],[94,1229,3344,1227,3974,3982,3970,4679,4475,4463,4423,4611,1883,3968,876,4663,230,196,95,103,98,107,112,101,2820,99,102,110,104,97,105,111,106,96,109,108,139,141,143,144,145,180,116,149,119,718,140,115,128,122,135,118,164,172,173,167,152,169,150,171,177,168,189,124,638,1129])).
% 116.74/116.82  cnf(5826,plain,
% 116.74/116.82     (P11(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[5777,5787,121,686])).
% 116.74/116.82  cnf(5834,plain,
% 116.74/116.82     (P13(a7,a5)),
% 116.74/116.82     inference(scs_inference,[],[5777,5787,5811,4445,4415,196,121,686,132,139,141,119])).
% 116.74/116.82  cnf(5836,plain,
% 116.74/116.82     (~P15(a7,f10(a8))),
% 116.74/116.82     inference(scs_inference,[],[5777,5787,5811,4744,4445,4415,196,121,686,132,139,141,119,149])).
% 116.74/116.82  cnf(5842,plain,
% 116.74/116.82     (P10(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[5777,5787,5811,4744,4445,4415,196,792,121,686,132,139,141,119,149,718,140,125])).
% 116.74/116.82  cnf(5848,plain,
% 116.74/116.82     (P27(a7,a5)),
% 116.74/116.82     inference(scs_inference,[],[5777,5787,5789,5791,5811,4744,4445,4415,196,792,121,686,132,139,141,119,149,718,140,125,146,133,122])).
% 116.74/116.82  cnf(5852,plain,
% 116.74/116.82     (~P6(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[5777,5787,5789,5791,5811,4744,4445,4415,196,792,121,686,132,139,141,119,149,718,140,125,146,133,122,137,135])).
% 116.74/116.82  cnf(5876,plain,
% 116.74/116.82     (~P15(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[5777,5787,5789,5791,5811,5819,5813,1215,4744,4445,4415,196,792,101,105,121,686,132,139,141,119,149,718,140,125,146,133,122,137,135,118,183,157,170,129,148,124,3325,1129,638,127,702])).
% 116.74/116.82  cnf(5882,plain,
% 116.74/116.82     (~E(a4,a6)),
% 116.74/116.82     inference(scs_inference,[],[94,5779,5777,5787,5789,5791,5795,5811,5819,5813,5767,3348,1215,4744,4445,4415,196,792,101,105,121,686,132,139,141,119,149,718,140,125,146,133,122,137,135,118,183,157,170,129,148,124,3325,1129,638,127,702,138,18,40,63])).
% 116.74/116.82  cnf(5890,plain,
% 116.74/116.82     (~P5(a7,a8)),
% 116.74/116.82     inference(scs_inference,[],[94,5779,5777,5787,5789,5791,5795,5811,5819,5765,5813,5767,3348,1215,3974,4744,4445,4415,196,792,101,105,121,686,132,139,141,119,149,718,140,125,146,133,122,137,135,118,183,157,170,129,148,124,3325,1129,638,127,702,138,18,40,63,38,3168,136,116,115])).
% 116.74/116.82  cnf(5907,plain,
% 116.74/116.82     (P15(a7,a3)),
% 116.74/116.82     inference(scs_inference,[],[5834,5848,5852,5876,480,121,686,132,3325,148,139])).
% 116.74/116.82  cnf(5911,plain,
% 116.74/116.82     (P13(a1,a8)),
% 116.74/116.82     inference(scs_inference,[],[5834,5848,5852,5876,4479,480,101,121,686,132,3325,148,139,141,119])).
% 116.74/116.82  cnf(5919,plain,
% 116.74/116.82     (P27(a1,a8)),
% 116.74/116.82     inference(scs_inference,[],[5834,5848,5852,5876,4479,480,101,121,686,132,3325,148,139,141,119,140,125,133,122])).
% 116.74/116.82  cnf(5933,plain,
% 116.74/116.82     (~P15(a7,a5)),
% 116.74/116.82     inference(scs_inference,[],[5834,5848,5852,5876,4479,480,101,99,121,686,132,3325,148,139,141,119,140,125,133,122,118,3168,129,124,638,127,149])).
% 116.74/116.82  cnf(5949,plain,
% 116.74/116.82     (P15(a1,a7)),
% 116.74/116.82     inference(scs_inference,[],[5933,5911,5919,503,789,121,686,3325,141,139])).
% 116.74/116.82  cnf(6240,plain,
% 116.74/116.82     (P18(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[94,5807,5769,4475,1883,103,95,98,107,112,2820,101,102,99,97,110,104,105,111,106,96,108,109,80,188])).
% 116.74/116.82  cnf(6242,plain,
% 116.74/116.82     (P13(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[94,5807,5769,4475,1883,103,95,98,107,112,2820,101,102,99,97,110,104,105,111,106,96,108,109,80,188,119])).
% 116.74/116.82  cnf(6246,plain,
% 116.74/116.82     (P19(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[94,5807,5769,4475,1883,103,95,98,107,112,2820,101,102,99,97,110,104,105,111,106,96,108,109,80,188,119,638,118])).
% 116.74/116.82  cnf(6248,plain,
% 116.74/116.82     (P27(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[94,5807,5769,4475,1883,103,95,98,107,112,2820,101,102,99,97,110,104,105,111,106,96,108,109,80,188,119,638,118,122])).
% 116.74/116.82  cnf(6250,plain,
% 116.74/116.82     (P10(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[94,5807,5769,4475,1883,103,95,98,107,112,2820,101,102,99,97,110,104,105,111,106,96,108,109,80,188,119,638,118,122,125])).
% 116.74/116.82  cnf(6282,plain,
% 116.74/116.82     (~P36(a1,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[6242,6246,6248,6250,105,3933,4102,121,702,686,3325,124,148,127,129,146,137,135,171])).
% 116.74/116.82  cnf(6284,plain,
% 116.74/116.82     (~P6(a1,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[6242,6246,6248,6250,105,3933,4102,121,702,686,3325,124,148,127,129,146,137,135,171,168])).
% 116.74/116.82  cnf(6298,plain,
% 116.74/116.82     (~P3(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[6242,6246,6248,6250,5765,5949,105,3933,4102,121,702,686,3325,124,148,127,129,146,137,135,171,168,169,38,63,3188,342,1479,132,3168,138])).
% 116.74/116.82  cnf(6300,plain,
% 116.74/116.82     (~P31(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[6242,6246,6248,6250,5765,5949,105,3933,4102,121,702,686,3325,124,148,127,129,146,137,135,171,168,169,38,63,3188,342,1479,132,3168,138,133])).
% 116.74/116.82  cnf(6346,plain,
% 116.74/116.82     (~P5(a7,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[6282,6284,6298,136,132,116,138,115])).
% 116.74/116.82  cnf(6354,plain,
% 116.74/116.82     (~P5(a1,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[6282,6284,6298,105,136,132,116,138,115,117,133,153,151])).
% 116.74/116.82  cnf(6983,plain,
% 116.74/116.82     (~P7(a7,f10(a5),f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[104,1883,4475,94,5769,112,5765,95,2820,103,5767,1750,98,101,102,99,107,110,97,105,111,106,96,108,109,189])).
% 116.74/116.82  cnf(6996,plain,
% 116.74/116.82     (~P7(a7,x69961,f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))+~E(x69961,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[6983,48])).
% 116.74/116.82  cnf(7922,plain,
% 116.74/116.82     (~P11(a7,a6)),
% 116.74/116.82     inference(scs_inference,[],[5763,148])).
% 116.74/116.82  cnf(7931,plain,
% 116.74/116.82     (~P10(a1,a6)),
% 116.74/116.82     inference(scs_inference,[],[7922,105,126,686,164,163])).
% 116.74/116.82  cnf(7937,plain,
% 116.74/116.82     (P12(a7,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[5765,135])).
% 116.74/116.82  cnf(7943,plain,
% 116.74/116.82     (~P15(a1,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[5765,135,750,718,3325])).
% 116.74/116.82  cnf(7945,plain,
% 116.74/116.82     (P26(a7,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[5765,135,750,718,3325,141])).
% 116.74/116.82  cnf(7955,plain,
% 116.74/116.82     (~P27(a1,a6)),
% 116.74/116.82     inference(scs_inference,[],[7931,125])).
% 116.74/116.82  cnf(7962,plain,
% 116.74/116.82     (~P10(a7,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[7943,7945,148,139,126])).
% 116.74/116.82  cnf(7964,plain,
% 116.74/116.82     (~P29(a1,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[7943,7945,148,139,126,136])).
% 116.74/116.82  cnf(7966,plain,
% 116.74/116.82     (~P28(a1,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[7943,7945,148,139,126,136,116])).
% 116.74/116.82  cnf(7981,plain,
% 116.74/116.82     (~P10(a1,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[7966,7962,7964,5842,105,424,117,75,163])).
% 116.74/116.82  cnf(7992,plain,
% 116.74/116.82     (~P30(a7,a3)),
% 116.74/116.82     inference(scs_inference,[],[5907,149])).
% 116.74/116.82  cnf(8000,plain,
% 116.74/116.82     (~P27(a1,f10(a5))),
% 116.74/116.82     inference(scs_inference,[],[7981,125])).
% 116.74/116.82  cnf(8149,plain,
% 116.74/116.82     (~P3(a7,f10(a8))),
% 116.74/116.82     inference(scs_inference,[],[7955,7937,5836,137,122,139])).
% 116.74/116.82  cnf(8163,plain,
% 116.74/116.82     (~P5(a7,f10(a8))),
% 116.74/116.82     inference(scs_inference,[],[8149,136,116,115])).
% 116.74/116.82  cnf(8189,plain,
% 116.74/116.82     (~P3(a7,a6)),
% 116.74/116.82     inference(scs_inference,[],[8000,5779,122,139])).
% 116.74/116.82  cnf(8191,plain,
% 116.74/116.82     (~P4(a7,f10(a8))),
% 116.74/116.82     inference(scs_inference,[],[8163,8000,5779,122,139,113])).
% 116.74/116.82  cnf(8205,plain,
% 116.74/116.82     (~P5(a7,a6)),
% 116.74/116.82     inference(scs_inference,[],[8189,8191,105,150,136,116,115])).
% 116.74/116.82  cnf(8298,plain,
% 116.74/116.82     (~P4(a7,a6)),
% 116.74/116.82     inference(scs_inference,[],[8205,113])).
% 116.74/116.82  cnf(8308,plain,
% 116.74/116.82     (~P4(a1,a6)),
% 116.74/116.82     inference(scs_inference,[],[8298,105,150])).
% 116.74/116.82  cnf(8331,plain,
% 116.74/116.82     (P23(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[6240,145])).
% 116.74/116.82  cnf(8333,plain,
% 116.74/116.82     (P31(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[6240,145,144])).
% 116.74/116.82  cnf(8335,plain,
% 116.74/116.82     (P6(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[6240,145,144,133])).
% 116.74/116.82  cnf(8337,plain,
% 116.74/116.82     (P7(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)),f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.74/116.82     inference(scs_inference,[],[6240,145,144,133,180])).
% 116.74/116.82  cnf(8341,plain,
% 116.74/116.82     (P12(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[6354,6240,145,144,133,180,113,135])).
% 116.74/116.82  cnf(8346,plain,
% 116.74/116.82     (P26(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8308,6354,6240,145,144,133,180,113,135,19,6996,2,141])).
% 116.74/116.82  cnf(8348,plain,
% 116.74/116.82     (P30(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8308,6354,6240,145,144,133,180,113,135,19,6996,2,141,128])).
% 116.74/116.82  cnf(8358,plain,
% 116.74/116.82     (P36(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8341,750,137])).
% 116.74/116.82  cnf(8368,plain,
% 116.74/116.82     (~P3(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8341,8346,750,137,718,130,3325,148,139])).
% 116.74/116.82  cnf(8372,plain,
% 116.74/116.82     (~P3(a1,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8341,8346,8348,7992,5826,105,750,137,718,130,3325,148,139,91,71,170])).
% 116.74/116.82  cnf(8378,plain,
% 116.74/116.82     (~P10(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8333,8341,8346,8348,7992,5826,6300,105,750,137,718,130,3325,148,139,91,71,170,40,4035,506,126])).
% 116.74/116.82  cnf(8380,plain,
% 116.74/116.82     (~P27(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8333,8341,8346,8348,7992,5826,6300,105,750,137,718,130,3325,148,139,91,71,170,40,4035,506,126,686])).
% 116.74/116.82  cnf(8393,plain,
% 116.74/116.82     (~P10(a1,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8378,105,163])).
% 116.74/116.82  cnf(8399,plain,
% 116.74/116.82     (~P29(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8380,8358,8368,8378,105,163,146,122,136])).
% 116.74/116.82  cnf(8405,plain,
% 116.74/116.82     (~P27(a1,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8380,8358,8368,8378,5890,105,163,146,122,136,114,119,125])).
% 116.74/116.82  cnf(8410,plain,
% 116.74/116.82     (~P19(a1,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8380,8358,8368,8378,8346,5890,6240,105,163,146,122,136,114,119,125,175,29,3951])).
% 116.74/116.82  cnf(8412,plain,
% 116.74/116.82     (~P28(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8380,8358,8368,8378,8346,5890,6240,105,163,146,122,136,114,119,125,175,29,3951,116])).
% 116.74/116.82  cnf(8422,plain,
% 116.74/116.82     (~P5(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.74/116.82     inference(scs_inference,[],[8399,8412,105,117,153,115])).
% 116.74/116.82  cnf(8425,plain,
% 116.74/116.82     (~P7(a7,f10(f2(a1,a8,a3,a4,a5,a4,a6,a7,a3,a8,a9,a6,a7)),a8)),
% 116.74/116.82     inference(scs_inference,[],[8331,8399,8393,8412,8337,8333,8335,111,106,112,94,102,103,95,110,98,101,99,108,109,107,97,96,104,105,117,153,115,74,189])).
% 116.74/116.82  cnf(8448,plain,
% 116.74/116.82     ($false),
% 116.74/116.82     inference(scs_inference,[],[94,105,104,97,96,107,101,108,109,99,98,110,95,103,5769,102,4475,2820,112,1883,106,111,5882,4620,8333,8331,8335,6346,8348,8337,8425,8372,8410,8422,8405,114,136,122,118,113,117,185,1885,91,189]),
% 116.74/116.82     ['proof']).
% 116.74/116.82  % SZS output end Proof
% 116.74/116.82  % Total time :116.120000s
%------------------------------------------------------------------------------