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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : NLP251+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %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 : Mon Jun 24 12:01:57 EDT 2024

% Result   : Theorem 116.67s 116.73s
% Output   : CNFRefutation 116.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NLP251+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n029.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 01:34:39 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.44/0.57  start to proof:theBenchmark
% 116.67/116.70  %-------------------------------------------
% 116.67/116.70  % File        :CSE---1.7
% 116.67/116.70  % Problem     :theBenchmark
% 116.67/116.70  % Transform   :cnf
% 116.67/116.70  % Format      :tptp:raw
% 116.67/116.70  % Command     :java -jar mcs_scs.jar %d %s
% 116.67/116.70  
% 116.67/116.70  % Result      :Theorem 116.070000s
% 116.67/116.70  % Output      :CNFRefutation 116.070000s
% 116.67/116.70  %-------------------------------------------
% 116.67/116.71  %--------------------------------------------------------------------------
% 116.67/116.71  % File     : NLP251+1 : TPTP v8.2.0. Released v2.4.0.
% 116.67/116.71  % Domain   : Natural Language Processing
% 116.67/116.71  % Problem  : Vincent believes that every man smokes, problem 32
% 116.67/116.71  % Version  : [Bos00b] axioms.
% 116.67/116.71  % English  : Eliminating non-informative interpretations in the statement
% 116.67/116.71  %            "Vincent believes that every man smokes. Jules is a man.
% 116.67/116.71  %            Vincent believes that jules smokes."
% 116.67/116.71  
% 116.67/116.71  % Refs     : [Bos00a] Bos (2000), DORIS: Discourse Oriented Representation a
% 116.67/116.71  %            [Bos00b] Bos (2000), Applied Theorem Proving - Natural Language
% 116.67/116.71  % Source   : [Bos00b]
% 116.67/116.71  % Names    : doris228 [Bos00b]
% 116.67/116.71  
% 116.67/116.71  % Status   : Theorem
% 116.67/116.71  % Rating   : 0.19 v8.2.0, 0.17 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.13 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.33 v6.0.0, 0.30 v5.5.0, 0.41 v5.4.0, 0.43 v5.3.0, 0.48 v5.2.0, 0.25 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
% 116.67/116.71  % Syntax   : Number of formulae    :   72 (   0 unt;   0 def)
% 116.67/116.71  %            Number of atoms       :  254 (   3 equ)
% 116.67/116.71  %            Maximal formula atoms :   67 (   3 avg)
% 116.67/116.71  %            Number of connectives :  190 (   8   ~;   0   |; 109   &)
% 116.67/116.71  %                                         (   0 <=>;  73  =>;   0  <=;   0 <~>)
% 116.67/116.71  %            Maximal formula depth :   57 (   6 avg)
% 116.67/116.71  %            Maximal term depth    :    1 (   1 avg)
% 116.67/116.71  %            Number of predicates  :   37 (  36 usr;   0 prp; 1-4 aty)
% 116.67/116.71  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 116.67/116.71  %            Number of variables   :  216 ( 190   !;  26   ?)
% 116.67/116.71  % SPC      : FOF_THM_RFO_SEQ
% 116.67/116.71  
% 116.67/116.71  % Comments :
% 116.67/116.71  %--------------------------------------------------------------------------
% 116.67/116.71  fof(ax1,axiom,
% 116.67/116.71      ! [U,V] :
% 116.67/116.71        ( jules_forename(U,V)
% 116.67/116.71       => forename(U,V) ) ).
% 116.67/116.71  
% 116.67/116.71  fof(ax2,axiom,
% 116.67/116.71      ! [U,V] :
% 116.67/116.71        ( vincent_forename(U,V)
% 116.67/116.71       => forename(U,V) ) ).
% 116.67/116.71  
% 116.67/116.71  fof(ax3,axiom,
% 116.67/116.71      ! [U,V] :
% 116.67/116.71        ( relname(U,V)
% 116.67/116.71       => relation(U,V) ) ).
% 116.67/116.71  
% 116.67/116.71  fof(ax4,axiom,
% 116.67/116.71      ! [U,V] :
% 116.67/116.71        ( forename(U,V)
% 116.67/116.71       => relname(U,V) ) ).
% 116.67/116.71  
% 116.67/116.71  fof(ax5,axiom,
% 116.67/116.71      ! [U,V] :
% 116.67/116.71        ( man(U,V)
% 116.67/116.71       => male(U,V) ) ).
% 116.67/116.71  
% 116.67/116.71  fof(ax6,axiom,
% 116.67/116.71      ! [U,V] :
% 116.67/116.71        ( human_person(U,V)
% 116.67/116.71       => animate(U,V) ) ).
% 116.67/116.71  
% 116.67/116.71  fof(ax7,axiom,
% 116.67/116.71      ! [U,V] :
% 116.67/116.72        ( human_person(U,V)
% 116.67/116.72       => human(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax8,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( organism(U,V)
% 116.67/116.72       => living(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax9,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( organism(U,V)
% 116.67/116.72       => impartial(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax10,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( entity(U,V)
% 116.67/116.72       => existent(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax11,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( entity(U,V)
% 116.67/116.72       => specific(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax12,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( entity(U,V)
% 116.67/116.72       => thing(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax13,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( organism(U,V)
% 116.67/116.72       => entity(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax14,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( human_person(U,V)
% 116.67/116.72       => organism(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax15,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( man(U,V)
% 116.67/116.72       => human_person(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax16,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( state(U,V)
% 116.67/116.72       => event(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax17,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( state(U,V)
% 116.67/116.72       => eventuality(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax18,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( abstraction(U,V)
% 116.67/116.72       => unisex(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax19,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( abstraction(U,V)
% 116.67/116.72       => general(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax20,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( abstraction(U,V)
% 116.67/116.72       => nonhuman(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax21,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( abstraction(U,V)
% 116.67/116.72       => thing(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax22,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( relation(U,V)
% 116.67/116.72       => abstraction(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax23,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( proposition(U,V)
% 116.67/116.72       => relation(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax24,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( eventuality(U,V)
% 116.67/116.72       => unisex(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax25,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( eventuality(U,V)
% 116.67/116.72       => nonexistent(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax26,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( eventuality(U,V)
% 116.67/116.72       => specific(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax27,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( thing(U,V)
% 116.67/116.72       => singleton(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax28,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( eventuality(U,V)
% 116.67/116.72       => thing(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax29,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( event(U,V)
% 116.67/116.72       => eventuality(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax30,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( smoke(U,V)
% 116.67/116.72       => event(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax31,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( existent(U,V)
% 116.67/116.72       => ~ nonexistent(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax32,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( nonhuman(U,V)
% 116.67/116.72       => ~ human(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax33,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( specific(U,V)
% 116.67/116.72       => ~ general(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax34,axiom,
% 116.67/116.72      ! [U,V] :
% 116.67/116.72        ( unisex(U,V)
% 116.67/116.72       => ~ male(U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax35,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & jules_forename(V,U) )
% 116.67/116.72       => jules_forename(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax36,axiom,
% 116.67/116.72      ! [U,V,W,X] :
% 116.67/116.72        ( ( accessible_world(W,X)
% 116.67/116.72          & of(W,U,V) )
% 116.67/116.72       => of(X,U,V) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax37,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & vincent_forename(V,U) )
% 116.67/116.72       => vincent_forename(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax38,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & relname(V,U) )
% 116.67/116.72       => relname(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax39,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & forename(V,U) )
% 116.67/116.72       => forename(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax40,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & male(V,U) )
% 116.67/116.72       => male(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax41,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & animate(V,U) )
% 116.67/116.72       => animate(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax42,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & human(V,U) )
% 116.67/116.72       => human(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax43,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & living(V,U) )
% 116.67/116.72       => living(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax44,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & impartial(V,U) )
% 116.67/116.72       => impartial(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax45,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & existent(V,U) )
% 116.67/116.72       => existent(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax46,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & entity(V,U) )
% 116.67/116.72       => entity(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax47,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & organism(V,U) )
% 116.67/116.72       => organism(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax48,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & human_person(V,U) )
% 116.67/116.72       => human_person(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax49,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & man(V,U) )
% 116.67/116.72       => man(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax50,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & state(V,U) )
% 116.67/116.72       => state(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax51,axiom,
% 116.67/116.72      ! [U,V,W,X,Y] :
% 116.67/116.72        ( ( accessible_world(X,Y)
% 116.67/116.72          & be(X,U,V,W) )
% 116.67/116.72       => be(Y,U,V,W) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax52,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & general(V,U) )
% 116.67/116.72       => general(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax53,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & nonhuman(V,U) )
% 116.67/116.72       => nonhuman(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax54,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & abstraction(V,U) )
% 116.67/116.72       => abstraction(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax55,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & relation(V,U) )
% 116.67/116.72       => relation(W,U) ) ).
% 116.67/116.72  
% 116.67/116.72  fof(ax56,axiom,
% 116.67/116.72      ! [U,V,W] :
% 116.67/116.72        ( ( accessible_world(V,W)
% 116.67/116.72          & proposition(V,U) )
% 116.67/116.72       => proposition(W,U) ) ).
% 116.67/116.72  
% 116.67/116.73  fof(ax57,axiom,
% 116.67/116.73      ! [U,V,W,X] :
% 116.67/116.73        ( ( accessible_world(W,X)
% 116.67/116.73          & theme(W,U,V) )
% 116.67/116.73       => theme(X,U,V) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax58,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & think_believe_consider(V,U) )
% 116.67/116.73       => think_believe_consider(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax59,axiom,
% 116.67/116.73      ! [U,V,W,X] :
% 116.67/116.73        ( ( accessible_world(W,X)
% 116.67/116.73          & agent(W,U,V) )
% 116.67/116.73       => agent(X,U,V) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax60,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & present(V,U) )
% 116.67/116.73       => present(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax61,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & unisex(V,U) )
% 116.67/116.73       => unisex(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax62,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & nonexistent(V,U) )
% 116.67/116.73       => nonexistent(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax63,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & specific(V,U) )
% 116.67/116.73       => specific(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax64,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & singleton(V,U) )
% 116.67/116.73       => singleton(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax65,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & thing(V,U) )
% 116.67/116.73       => thing(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax66,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & eventuality(V,U) )
% 116.67/116.73       => eventuality(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax67,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & event(V,U) )
% 116.67/116.73       => event(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax68,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( accessible_world(V,W)
% 116.67/116.73          & smoke(V,U) )
% 116.67/116.73       => smoke(W,U) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax69,axiom,
% 116.67/116.73      ! [U,V,W] :
% 116.67/116.73        ( ( entity(U,V)
% 116.67/116.73          & forename(U,W)
% 116.67/116.73          & of(U,W,V) )
% 116.67/116.73       => ~ ? [X] :
% 116.67/116.73              ( forename(U,X)
% 116.67/116.73              & X != W
% 116.67/116.73              & of(U,X,V) ) ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax70,axiom,
% 116.67/116.73      ! [U,V,W,X] :
% 116.67/116.73        ( be(U,V,W,X)
% 116.67/116.73       => W = X ) ).
% 116.67/116.73  
% 116.67/116.73  fof(ax71,axiom,
% 116.67/116.73      ! [U,V,W,X,Y,Z] :
% 116.67/116.73        ( ( think_believe_consider(U,V)
% 116.67/116.73          & proposition(U,Y)
% 116.67/116.73          & theme(U,V,Y)
% 116.67/116.73          & agent(U,V,X)
% 116.67/116.73          & think_believe_consider(U,W)
% 116.67/116.73          & proposition(U,Z)
% 116.67/116.73          & theme(U,W,Z)
% 116.67/116.73          & agent(U,W,X) )
% 116.67/116.73       => Y = Z ) ).
% 116.67/116.73  
% 116.67/116.73  fof(co1,conjecture,
% 116.67/116.73      ~ ( ? [U] :
% 116.67/116.73            ( actual_world(U)
% 116.67/116.73            & ? [V,W,X,Y,Z,X1,X2] :
% 116.67/116.73                ( of(U,W,V)
% 116.67/116.73                & man(U,V)
% 116.67/116.73                & vincent_forename(U,W)
% 116.67/116.73                & forename(U,W)
% 116.67/116.73                & proposition(U,Y)
% 116.67/116.73                & agent(U,X,V)
% 116.67/116.73                & theme(U,X,Y)
% 116.67/116.73                & event(U,X)
% 116.67/116.73                & present(U,X)
% 116.67/116.73                & think_believe_consider(U,X)
% 116.67/116.73                & accessible_world(U,Y)
% 116.67/116.73                & ! [X3] :
% 116.67/116.73                    ( man(Y,X3)
% 116.67/116.73                   => ? [X4] :
% 116.67/116.73                        ( event(Y,X4)
% 116.67/116.73                        & agent(Y,X4,X3)
% 116.67/116.73                        & present(Y,X4)
% 116.67/116.73                        & smoke(Y,X4) ) )
% 116.67/116.73                & of(U,Z,X1)
% 116.67/116.73                & man(U,X1)
% 116.67/116.73                & jules_forename(U,Z)
% 116.67/116.73                & forename(U,Z)
% 116.67/116.73                & man(U,X1)
% 116.67/116.73                & state(U,X2)
% 116.67/116.73                & be(U,X2,X1,X1) ) )
% 116.67/116.73        & ~ ? [X5] :
% 116.67/116.73              ( actual_world(X5)
% 116.67/116.73              & ? [X6,X7,X8,X9,V,W,X,Y,Z,X1,X2,X10,X11] :
% 116.67/116.73                  ( of(X5,X7,X6)
% 116.67/116.73                  & man(X5,X6)
% 116.67/116.73                  & vincent_forename(X5,X7)
% 116.67/116.73                  & forename(X5,X7)
% 116.67/116.73                  & of(X5,X9,X8)
% 116.67/116.73                  & man(X5,X8)
% 116.67/116.73                  & jules_forename(X5,X9)
% 116.67/116.73                  & forename(X5,X9)
% 116.67/116.73                  & of(X5,W,V)
% 116.67/116.73                  & man(X5,V)
% 116.67/116.73                  & vincent_forename(X5,W)
% 116.67/116.73                  & forename(X5,W)
% 116.67/116.73                  & proposition(X5,Y)
% 116.67/116.73                  & agent(X5,X,V)
% 116.67/116.73                  & theme(X5,X,Y)
% 116.67/116.73                  & event(X5,X)
% 116.67/116.73                  & present(X5,X)
% 116.67/116.73                  & think_believe_consider(X5,X)
% 116.67/116.73                  & accessible_world(X5,Y)
% 116.67/116.73                  & ! [X3] :
% 116.67/116.73                      ( man(Y,X3)
% 116.67/116.73                     => ? [X4] :
% 116.67/116.73                          ( event(Y,X4)
% 116.67/116.73                          & agent(Y,X4,X3)
% 116.67/116.73                          & present(Y,X4)
% 116.67/116.73                          & smoke(Y,X4) ) )
% 116.67/116.73                  & of(X5,Z,X1)
% 116.67/116.73                  & man(X5,X1)
% 116.67/116.73                  & jules_forename(X5,Z)
% 116.67/116.73                  & forename(X5,Z)
% 116.67/116.73                  & man(X5,X1)
% 116.67/116.73                  & state(X5,X2)
% 116.67/116.73                  & be(X5,X2,X1,X1)
% 116.67/116.73                  & proposition(X5,X11)
% 116.67/116.73                  & agent(X5,X10,X6)
% 116.67/116.73                  & theme(X5,X10,X11)
% 116.67/116.73                  & event(X5,X10)
% 116.67/116.73                  & present(X5,X10)
% 116.67/116.73                  & think_believe_consider(X5,X10)
% 116.67/116.73                  & accessible_world(X5,X11)
% 116.67/116.73                  & ? [X12] :
% 116.67/116.73                      ( event(X11,X12)
% 116.67/116.73                      & agent(X11,X12,X8)
% 116.67/116.73                      & present(X11,X12)
% 116.67/116.73                      & smoke(X11,X12) ) ) ) ) ).
% 116.67/116.73  
% 116.67/116.73  %--------------------------------------------------------------------------
% 116.67/116.73  %-------------------------------------------
% 116.67/116.73  % Proof found
% 116.67/116.73  % SZS status Theorem for theBenchmark
% 116.67/116.73  % SZS output start Proof
% 116.67/116.73  %ClaNum:190(EqnAxiom:94)
% 116.67/116.73  %VarNum:606(SingletonVarNum:224)
% 116.67/116.73  %MaxLitNum:41
% 116.67/116.73  %MaxfuncDepth:1
% 116.67/116.73  %SharedTerms:26
% 116.67/116.73  %goalClause: 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 112 113 144 145 146 181 189 190
% 116.67/116.73  %singleGoalClaCount:18
% 116.67/116.73  [95]P1(a1)
% 116.67/116.73  [96]P4(a1,a3)
% 116.67/116.73  [97]P5(a1,a4)
% 116.67/116.73  [98]P5(a1,a3)
% 116.67/116.73  [99]P17(a1,a4)
% 116.67/116.73  [100]P18(a1,a5)
% 116.67/116.73  [102]P18(a1,a8)
% 116.67/116.73  [103]P21(a1,a9)
% 116.67/116.73  [104]P6(a1,a6)
% 116.67/116.73  [105]P22(a1,a7)
% 116.67/116.73  [106]P2(a1,a7)
% 116.67/116.73  [107]P33(a1,a6)
% 116.67/116.73  [108]P23(a1,a6)
% 116.67/116.73  [109]P24(a1,a4,a5)
% 116.67/116.73  [110]P24(a1,a3,a8)
% 116.67/116.73  [111]P34(a1,a6,a7)
% 116.67/116.73  [112]P7(a1,a6,a5)
% 116.67/116.73  [113]P8(a1,a9,a8,a8)
% 116.67/116.73  [144]~P18(a7,x1441)+P6(a7,f10(x1441))
% 116.67/116.73  [145]~P18(a7,x1451)+P31(a7,f10(x1451))
% 116.67/116.73  [146]~P18(a7,x1461)+P23(a7,f10(x1461))
% 116.67/116.73  [181]~P18(a7,x1811)+P7(a7,f10(x1811),x1811)
% 116.67/116.73  [114]~P4(x1141,x1142)+P5(x1141,x1142)
% 116.67/116.73  [115]~P17(x1151,x1152)+P5(x1151,x1152)
% 116.67/116.73  [116]~P5(x1161,x1162)+P28(x1161,x1162)
% 116.67/116.73  [117]~P28(x1171,x1172)+P29(x1171,x1172)
% 116.67/116.73  [118]~P22(x1181,x1182)+P29(x1181,x1182)
% 116.67/116.73  [119]~P18(x1191,x1192)+P19(x1191,x1192)
% 116.67/116.73  [120]~P18(x1201,x1202)+P13(x1201,x1202)
% 116.67/116.73  [121]~P13(x1211,x1212)+P9(x1211,x1212)
% 116.67/116.73  [122]~P13(x1221,x1222)+P14(x1221,x1222)
% 116.67/116.73  [123]~P13(x1231,x1232)+P27(x1231,x1232)
% 116.67/116.73  [124]~P27(x1241,x1242)+P20(x1241,x1242)
% 116.67/116.73  [125]~P27(x1251,x1252)+P16(x1251,x1252)
% 116.67/116.73  [126]~P27(x1261,x1262)+P10(x1261,x1262)
% 116.67/116.73  [127]~P10(x1271,x1272)+P11(x1271,x1272)
% 116.67/116.73  [128]~P10(x1281,x1282)+P30(x1281,x1282)
% 116.67/116.73  [129]~P12(x1291,x1292)+P30(x1291,x1292)
% 116.67/116.73  [130]~P10(x1301,x1302)+P35(x1301,x1302)
% 116.67/116.73  [131]~P12(x1311,x1312)+P35(x1311,x1312)
% 116.67/116.73  [132]~P3(x1321,x1322)+P35(x1321,x1322)
% 116.67/116.73  [133]~P21(x1331,x1332)+P6(x1331,x1332)
% 116.67/116.73  [134]~P31(x1341,x1342)+P6(x1341,x1342)
% 116.67/116.73  [135]~P21(x1351,x1352)+P12(x1351,x1352)
% 116.67/116.73  [136]~P6(x1361,x1362)+P12(x1361,x1362)
% 116.67/116.73  [137]~P29(x1371,x1372)+P3(x1371,x1372)
% 116.67/116.73  [138]~P12(x1381,x1382)+P36(x1381,x1382)
% 116.67/116.73  [139]~P3(x1391,x1392)+P36(x1391,x1392)
% 116.67/116.73  [140]~P3(x1401,x1402)+P15(x1401,x1402)
% 116.67/116.73  [141]~P3(x1411,x1412)+P25(x1411,x1412)
% 116.67/116.73  [142]~P12(x1421,x1422)+P26(x1421,x1422)
% 116.67/116.73  [143]~P35(x1431,x1432)+P32(x1431,x1432)
% 116.67/116.73  [147]~P36(x1471,x1472)+~P19(x1471,x1472)
% 116.67/116.73  [148]~P25(x1481,x1482)+~P14(x1481,x1482)
% 116.67/116.73  [149]~P26(x1491,x1492)+~P11(x1491,x1492)
% 116.67/116.73  [150]~P15(x1501,x1502)+~P30(x1501,x1502)
% 116.67/116.73  [186]E(x1861,x1862)+~P8(x1863,x1864,x1861,x1862)
% 116.67/116.73  [151]~P2(x1513,x1511)+P4(x1511,x1512)+~P4(x1513,x1512)
% 116.67/116.73  [152]~P2(x1523,x1521)+P5(x1521,x1522)+~P5(x1523,x1522)
% 116.67/116.73  [153]~P2(x1533,x1531)+P17(x1531,x1532)+~P17(x1533,x1532)
% 116.67/116.73  [154]~P2(x1543,x1541)+P28(x1541,x1542)+~P28(x1543,x1542)
% 116.67/116.73  [155]~P2(x1553,x1551)+P29(x1551,x1552)+~P29(x1553,x1552)
% 116.67/116.73  [156]~P2(x1563,x1561)+P18(x1561,x1562)+~P18(x1563,x1562)
% 116.67/116.73  [157]~P2(x1573,x1571)+P19(x1571,x1572)+~P19(x1573,x1572)
% 116.67/116.73  [158]~P2(x1583,x1581)+P13(x1581,x1582)+~P13(x1583,x1582)
% 116.67/116.73  [159]~P2(x1593,x1591)+P9(x1591,x1592)+~P9(x1593,x1592)
% 116.67/116.73  [160]~P2(x1603,x1601)+P14(x1601,x1602)+~P14(x1603,x1602)
% 116.67/116.73  [161]~P2(x1613,x1611)+P27(x1611,x1612)+~P27(x1613,x1612)
% 116.67/116.73  [162]~P2(x1623,x1621)+P20(x1621,x1622)+~P20(x1623,x1622)
% 116.67/116.73  [163]~P2(x1633,x1631)+P16(x1631,x1632)+~P16(x1633,x1632)
% 116.67/116.73  [164]~P2(x1643,x1641)+P10(x1641,x1642)+~P10(x1643,x1642)
% 116.67/116.73  [165]~P2(x1653,x1651)+P11(x1651,x1652)+~P11(x1653,x1652)
% 116.67/116.73  [166]~P2(x1663,x1661)+P30(x1661,x1662)+~P30(x1663,x1662)
% 116.67/116.73  [167]~P2(x1673,x1671)+P35(x1671,x1672)+~P35(x1673,x1672)
% 116.67/116.73  [168]~P2(x1683,x1681)+P21(x1681,x1682)+~P21(x1683,x1682)
% 116.67/116.73  [169]~P2(x1693,x1691)+P6(x1691,x1692)+~P6(x1693,x1692)
% 116.67/116.73  [170]~P2(x1703,x1701)+P12(x1701,x1702)+~P12(x1703,x1702)
% 116.67/116.73  [171]~P2(x1713,x1711)+P3(x1711,x1712)+~P3(x1713,x1712)
% 116.67/116.73  [172]~P2(x1723,x1721)+P36(x1721,x1722)+~P36(x1723,x1722)
% 116.67/116.73  [173]~P2(x1733,x1731)+P15(x1731,x1732)+~P15(x1733,x1732)
% 116.67/116.73  [174]~P2(x1743,x1741)+P25(x1741,x1742)+~P25(x1743,x1742)
% 116.67/116.73  [175]~P2(x1753,x1751)+P22(x1751,x1752)+~P22(x1753,x1752)
% 116.67/116.73  [176]~P2(x1763,x1761)+P26(x1761,x1762)+~P26(x1763,x1762)
% 116.67/116.73  [177]~P2(x1773,x1771)+P32(x1771,x1772)+~P32(x1773,x1772)
% 116.67/116.73  [178]~P2(x1783,x1781)+P31(x1781,x1782)+~P31(x1783,x1782)
% 116.67/116.73  [179]~P33(x1793,x1792)+P33(x1791,x1792)+~P2(x1793,x1791)
% 116.67/116.73  [180]~P23(x1803,x1802)+P23(x1801,x1802)+~P2(x1803,x1801)
% 116.67/116.73  [182]~P24(x1824,x1822,x1823)+P24(x1821,x1822,x1823)+~P2(x1824,x1821)
% 116.67/116.73  [183]~P34(x1834,x1832,x1833)+P34(x1831,x1832,x1833)+~P2(x1834,x1831)
% 116.67/116.73  [184]~P7(x1844,x1842,x1843)+P7(x1841,x1842,x1843)+~P2(x1844,x1841)
% 116.67/116.73  [188]~P8(x1885,x1882,x1883,x1884)+P8(x1881,x1882,x1883,x1884)+~P2(x1885,x1881)
% 116.67/116.73  [185]~P5(x1853,x1851)+~P24(x1853,x1852,x1854)+~P24(x1853,x1851,x1854)+E(x1851,x1852)+~P5(x1853,x1852)+~P10(x1853,x1854)
% 116.67/116.73  [187]~P22(x1873,x1871)+~P34(x1873,x1874,x1872)+~P34(x1873,x1875,x1871)+~P7(x1873,x1875,x1876)+E(x1871,x1872)+~P22(x1873,x1872)+~P33(x1873,x1874)+~P7(x1873,x1874,x1876)+~P33(x1873,x1875)
% 116.67/116.73  [189]P18(x1891,f2(x1892,x1893,x1894,x1895,x1896,x1897,x1898,x1899,x1891,x18910,x18911,x18912,x18913,x18914))+~P1(x1892)+~P4(x1892,x18910)+~P4(x1892,x1896)+~P5(x1892,x18910)+~P5(x1892,x1898)+~P5(x1892,x1896)+~P5(x1892,x1894)+~P17(x1892,x1898)+~P17(x1892,x1894)+~P18(x1892,x18911)+~P18(x1892,x1897)+~P18(x1892,x1895)+~P18(x1892,x1893)+~P21(x1892,x18912)+~P6(x18914,x18915)+~P6(x1892,x18913)+~P6(x1892,x1899)+~P22(x1892,x18914)+~P22(x1892,x1891)+~P31(x18914,x18915)+~P2(x1892,x18914)+~P2(x1892,x1891)+~P33(x1892,x18913)+~P33(x1892,x1899)+~P23(x18914,x18915)+~P23(x1892,x18913)+~P23(x1892,x1899)+~P24(x1892,x18910,x18911)+~P24(x1892,x1898,x1897)+~P24(x1892,x1896,x1895)+~P24(x1892,x1894,x1893)+~P34(x1892,x18913,x18914)+~P34(x1892,x1899,x1891)+~P7(x18914,x18915,x1895)+~P7(x1892,x18913,x1893)+~P7(x1892,x1899,x1897)+~P8(x1892,x18912,x18911,x18911)
% 116.67/116.73  [190]~P1(x1901)+~P4(x1901,x1902)+~P4(x1901,x1903)+~P5(x1901,x1902)+~P5(x1901,x1904)+~P5(x1901,x1903)+~P5(x1901,x1905)+~P17(x1901,x1904)+~P17(x1901,x1905)+~P18(x1901,x1906)+~P18(x1901,x1907)+~P18(x1901,x1908)+~P18(x1901,x1909)+~P21(x1901,x19010)+~P6(x19011,x19012)+~P6(x1901,x19013)+~P6(x1901,x19014)+~P6(x19015,x19016)+~P22(x1901,x19011)+~P22(x1901,x19015)+~P31(x19011,x19012)+~P31(x19015,x19016)+~P2(x1901,x19011)+~P2(x1901,x19015)+~P33(x1901,x19013)+~P33(x1901,x19014)+~P23(x19011,x19012)+~P23(x1901,x19013)+~P23(x1901,x19014)+~P23(x19015,x19016)+~P24(x1901,x1902,x1906)+~P24(x1901,x1904,x1907)+~P24(x1901,x1903,x1908)+~P24(x1901,x1905,x1909)+~P34(x1901,x19013,x19011)+~P34(x1901,x19014,x19015)+~P7(x19011,x19012,x1908)+~P7(x1901,x19013,x1909)+~P7(x1901,x19014,x1907)+~P8(x1901,x19010,x1906,x1906)+~P7(x19015,x19016,f2(x1901,x1909,x1905,x1908,x1903,x1907,x1904,x19014,x19015,x1902,x1906,x19010,x19013,x19011))
% 116.67/116.73  %EqnAxiom
% 116.67/116.73  [1]E(x11,x11)
% 116.67/116.73  [2]E(x22,x21)+~E(x21,x22)
% 116.67/116.73  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 116.67/116.73  [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 116.67/116.73  [5]~E(x51,x52)+E(f2(x51,x53,x54,x55,x56,x57,x58,x59,x510,x511,x512,x513,x514,x515),f2(x52,x53,x54,x55,x56,x57,x58,x59,x510,x511,x512,x513,x514,x515))
% 116.67/116.73  [6]~E(x61,x62)+E(f2(x63,x61,x64,x65,x66,x67,x68,x69,x610,x611,x612,x613,x614,x615),f2(x63,x62,x64,x65,x66,x67,x68,x69,x610,x611,x612,x613,x614,x615))
% 116.67/116.73  [7]~E(x71,x72)+E(f2(x73,x74,x71,x75,x76,x77,x78,x79,x710,x711,x712,x713,x714,x715),f2(x73,x74,x72,x75,x76,x77,x78,x79,x710,x711,x712,x713,x714,x715))
% 116.67/116.73  [8]~E(x81,x82)+E(f2(x83,x84,x85,x81,x86,x87,x88,x89,x810,x811,x812,x813,x814,x815),f2(x83,x84,x85,x82,x86,x87,x88,x89,x810,x811,x812,x813,x814,x815))
% 116.67/116.73  [9]~E(x91,x92)+E(f2(x93,x94,x95,x96,x91,x97,x98,x99,x910,x911,x912,x913,x914,x915),f2(x93,x94,x95,x96,x92,x97,x98,x99,x910,x911,x912,x913,x914,x915))
% 116.67/116.73  [10]~E(x101,x102)+E(f2(x103,x104,x105,x106,x107,x101,x108,x109,x1010,x1011,x1012,x1013,x1014,x1015),f2(x103,x104,x105,x106,x107,x102,x108,x109,x1010,x1011,x1012,x1013,x1014,x1015))
% 116.67/116.73  [11]~E(x111,x112)+E(f2(x113,x114,x115,x116,x117,x118,x111,x119,x1110,x1111,x1112,x1113,x1114,x1115),f2(x113,x114,x115,x116,x117,x118,x112,x119,x1110,x1111,x1112,x1113,x1114,x1115))
% 116.67/116.73  [12]~E(x121,x122)+E(f2(x123,x124,x125,x126,x127,x128,x129,x121,x1210,x1211,x1212,x1213,x1214,x1215),f2(x123,x124,x125,x126,x127,x128,x129,x122,x1210,x1211,x1212,x1213,x1214,x1215))
% 116.67/116.73  [13]~E(x131,x132)+E(f2(x133,x134,x135,x136,x137,x138,x139,x1310,x131,x1311,x1312,x1313,x1314,x1315),f2(x133,x134,x135,x136,x137,x138,x139,x1310,x132,x1311,x1312,x1313,x1314,x1315))
% 116.67/116.73  [14]~E(x141,x142)+E(f2(x143,x144,x145,x146,x147,x148,x149,x1410,x1411,x141,x1412,x1413,x1414,x1415),f2(x143,x144,x145,x146,x147,x148,x149,x1410,x1411,x142,x1412,x1413,x1414,x1415))
% 116.67/116.73  [15]~E(x151,x152)+E(f2(x153,x154,x155,x156,x157,x158,x159,x1510,x1511,x1512,x151,x1513,x1514,x1515),f2(x153,x154,x155,x156,x157,x158,x159,x1510,x1511,x1512,x152,x1513,x1514,x1515))
% 116.67/116.73  [16]~E(x161,x162)+E(f2(x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612,x1613,x161,x1614,x1615),f2(x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612,x1613,x162,x1614,x1615))
% 116.67/116.73  [17]~E(x171,x172)+E(f2(x173,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712,x1713,x1714,x171,x1715),f2(x173,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712,x1713,x1714,x172,x1715))
% 116.67/116.73  [18]~E(x181,x182)+E(f2(x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812,x1813,x1814,x1815,x181),f2(x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812,x1813,x1814,x1815,x182))
% 116.67/116.73  [19]~P1(x191)+P1(x192)+~E(x191,x192)
% 116.67/116.73  [20]P4(x202,x203)+~E(x201,x202)+~P4(x201,x203)
% 116.67/116.73  [21]P4(x213,x212)+~E(x211,x212)+~P4(x213,x211)
% 116.67/116.73  [22]P5(x222,x223)+~E(x221,x222)+~P5(x221,x223)
% 116.67/116.73  [23]P5(x233,x232)+~E(x231,x232)+~P5(x233,x231)
% 116.67/116.73  [24]P24(x242,x243,x244)+~E(x241,x242)+~P24(x241,x243,x244)
% 116.67/116.73  [25]P24(x253,x252,x254)+~E(x251,x252)+~P24(x253,x251,x254)
% 116.67/116.73  [26]P24(x263,x264,x262)+~E(x261,x262)+~P24(x263,x264,x261)
% 116.67/116.73  [27]P17(x272,x273)+~E(x271,x272)+~P17(x271,x273)
% 116.67/116.73  [28]P17(x283,x282)+~E(x281,x282)+~P17(x283,x281)
% 116.67/116.73  [29]P18(x292,x293)+~E(x291,x292)+~P18(x291,x293)
% 116.67/116.73  [30]P18(x303,x302)+~E(x301,x302)+~P18(x303,x301)
% 116.67/116.73  [31]P34(x312,x313,x314)+~E(x311,x312)+~P34(x311,x313,x314)
% 116.67/116.73  [32]P34(x323,x322,x324)+~E(x321,x322)+~P34(x323,x321,x324)
% 116.67/116.73  [33]P34(x333,x334,x332)+~E(x331,x332)+~P34(x333,x334,x331)
% 116.67/116.73  [34]P21(x342,x343)+~E(x341,x342)+~P21(x341,x343)
% 116.67/116.73  [35]P21(x353,x352)+~E(x351,x352)+~P21(x353,x351)
% 116.67/116.73  [36]P31(x362,x363)+~E(x361,x362)+~P31(x361,x363)
% 116.67/116.73  [37]P31(x373,x372)+~E(x371,x372)+~P31(x373,x371)
% 116.67/116.73  [38]P6(x382,x383)+~E(x381,x382)+~P6(x381,x383)
% 116.67/116.73  [39]P6(x393,x392)+~E(x391,x392)+~P6(x393,x391)
% 116.67/116.73  [40]P22(x402,x403)+~E(x401,x402)+~P22(x401,x403)
% 116.67/116.73  [41]P22(x413,x412)+~E(x411,x412)+~P22(x413,x411)
% 116.67/116.73  [42]P2(x422,x423)+~E(x421,x422)+~P2(x421,x423)
% 116.67/116.73  [43]P2(x433,x432)+~E(x431,x432)+~P2(x433,x431)
% 116.67/116.73  [44]P33(x442,x443)+~E(x441,x442)+~P33(x441,x443)
% 116.67/116.73  [45]P33(x453,x452)+~E(x451,x452)+~P33(x453,x451)
% 116.67/116.73  [46]P23(x462,x463)+~E(x461,x462)+~P23(x461,x463)
% 116.67/116.73  [47]P23(x473,x472)+~E(x471,x472)+~P23(x473,x471)
% 116.67/116.73  [48]P7(x482,x483,x484)+~E(x481,x482)+~P7(x481,x483,x484)
% 116.67/116.73  [49]P7(x493,x492,x494)+~E(x491,x492)+~P7(x493,x491,x494)
% 116.67/116.73  [50]P7(x503,x504,x502)+~E(x501,x502)+~P7(x503,x504,x501)
% 116.67/116.73  [51]P20(x512,x513)+~E(x511,x512)+~P20(x511,x513)
% 116.67/116.73  [52]P20(x523,x522)+~E(x521,x522)+~P20(x523,x521)
% 116.67/116.73  [53]P13(x532,x533)+~E(x531,x532)+~P13(x531,x533)
% 116.67/116.73  [54]P13(x543,x542)+~E(x541,x542)+~P13(x543,x541)
% 116.67/116.73  [55]P36(x552,x553)+~E(x551,x552)+~P36(x551,x553)
% 116.67/116.73  [56]P36(x563,x562)+~E(x561,x562)+~P36(x563,x561)
% 116.67/116.73  [57]P8(x572,x573,x574,x575)+~E(x571,x572)+~P8(x571,x573,x574,x575)
% 116.67/116.73  [58]P8(x583,x582,x584,x585)+~E(x581,x582)+~P8(x583,x581,x584,x585)
% 116.67/116.73  [59]P8(x593,x594,x592,x595)+~E(x591,x592)+~P8(x593,x594,x591,x595)
% 116.67/116.73  [60]P8(x603,x604,x605,x602)+~E(x601,x602)+~P8(x603,x604,x605,x601)
% 116.67/116.73  [61]P12(x612,x613)+~E(x611,x612)+~P12(x611,x613)
% 116.67/116.73  [62]P12(x623,x622)+~E(x621,x622)+~P12(x623,x621)
% 116.67/116.73  [63]P27(x632,x633)+~E(x631,x632)+~P27(x631,x633)
% 116.67/116.73  [64]P27(x643,x642)+~E(x641,x642)+~P27(x643,x641)
% 116.67/116.73  [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 116.67/116.73  [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 116.67/116.73  [67]P15(x672,x673)+~E(x671,x672)+~P15(x671,x673)
% 116.67/116.73  [68]P15(x683,x682)+~E(x681,x682)+~P15(x683,x681)
% 116.67/116.73  [69]P28(x692,x693)+~E(x691,x692)+~P28(x691,x693)
% 116.67/116.73  [70]P28(x703,x702)+~E(x701,x702)+~P28(x703,x701)
% 116.67/116.73  [71]P14(x712,x713)+~E(x711,x712)+~P14(x711,x713)
% 116.67/116.73  [72]P14(x723,x722)+~E(x721,x722)+~P14(x723,x721)
% 116.67/116.73  [73]P29(x732,x733)+~E(x731,x732)+~P29(x731,x733)
% 116.67/116.73  [74]P29(x743,x742)+~E(x741,x742)+~P29(x743,x741)
% 116.67/116.73  [75]P26(x752,x753)+~E(x751,x752)+~P26(x751,x753)
% 116.67/116.73  [76]P26(x763,x762)+~E(x761,x762)+~P26(x763,x761)
% 116.67/116.73  [77]P10(x772,x773)+~E(x771,x772)+~P10(x771,x773)
% 116.67/116.73  [78]P10(x783,x782)+~E(x781,x782)+~P10(x783,x781)
% 116.67/116.73  [79]P16(x792,x793)+~E(x791,x792)+~P16(x791,x793)
% 116.67/116.73  [80]P16(x803,x802)+~E(x801,x802)+~P16(x803,x801)
% 116.67/116.73  [81]P19(x812,x813)+~E(x811,x812)+~P19(x811,x813)
% 116.67/116.73  [82]P19(x823,x822)+~E(x821,x822)+~P19(x823,x821)
% 116.67/116.73  [83]P30(x832,x833)+~E(x831,x832)+~P30(x831,x833)
% 116.67/116.73  [84]P30(x843,x842)+~E(x841,x842)+~P30(x843,x841)
% 116.67/116.73  [85]P25(x852,x853)+~E(x851,x852)+~P25(x851,x853)
% 116.67/116.73  [86]P25(x863,x862)+~E(x861,x862)+~P25(x863,x861)
% 116.67/116.73  [87]P3(x872,x873)+~E(x871,x872)+~P3(x871,x873)
% 116.67/116.73  [88]P3(x883,x882)+~E(x881,x882)+~P3(x883,x881)
% 116.67/116.73  [89]P9(x892,x893)+~E(x891,x892)+~P9(x891,x893)
% 116.67/116.73  [90]P9(x903,x902)+~E(x901,x902)+~P9(x903,x901)
% 116.67/116.73  [91]P35(x912,x913)+~E(x911,x912)+~P35(x911,x913)
% 116.67/116.73  [92]P35(x923,x922)+~E(x921,x922)+~P35(x923,x921)
% 116.67/116.73  [93]P32(x932,x933)+~E(x931,x932)+~P32(x931,x933)
% 116.67/116.74  [94]P32(x943,x942)+~E(x941,x942)+~P32(x943,x941)
% 116.67/116.74  
% 116.67/116.74  %-------------------------------------------
% 116.67/116.74  cnf(193,plain,
% 116.67/116.74     (P5(a7,a4)),
% 116.67/116.74     inference(scs_inference,[],[96,97,106,151,152])).
% 116.67/116.74  cnf(197,plain,
% 116.67/116.74     (P18(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[96,97,99,100,106,151,152,153,156])).
% 116.67/116.74  cnf(199,plain,
% 116.67/116.74     (P21(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[96,97,99,100,103,106,151,152,153,156,168])).
% 116.67/116.74  cnf(201,plain,
% 116.67/116.74     (P6(a7,a6)),
% 116.67/116.74     inference(scs_inference,[],[96,97,99,100,103,104,106,151,152,153,156,168,169])).
% 116.67/116.74  cnf(209,plain,
% 116.67/116.74     (P24(a7,a4,a5)),
% 116.67/116.74     inference(scs_inference,[],[96,97,99,100,103,104,105,106,107,108,109,151,152,153,156,168,169,175,179,180,182])).
% 116.67/116.74  cnf(229,plain,
% 116.67/116.74     (P18(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[102,106,156])).
% 116.67/116.74  cnf(236,plain,
% 116.67/116.74     (P18(a1,x2361)+~E(a8,x2361)),
% 116.67/116.74     inference(scs_inference,[],[98,102,110,106,156,152,182,29,30])).
% 116.67/116.74  cnf(375,plain,
% 116.67/116.74     (P21(a7,x3751)+~E(a9,x3751)),
% 116.67/116.74     inference(scs_inference,[],[199,35])).
% 116.67/116.74  cnf(380,plain,
% 116.67/116.74     (P6(a7,x3801)+~E(a6,x3801)),
% 116.67/116.74     inference(scs_inference,[],[201,209,26,39])).
% 116.67/116.74  cnf(420,plain,
% 116.67/116.74     (P28(a1,a3)),
% 116.67/116.74     inference(scs_inference,[],[96,114,116])).
% 116.67/116.74  cnf(421,plain,
% 116.67/116.74     (P28(a7,a3)),
% 116.67/116.74     inference(scs_inference,[],[106,420,154])).
% 116.67/116.74  cnf(450,plain,
% 116.67/116.74     (P28(a1,a4)),
% 116.67/116.74     inference(scs_inference,[],[99,115,116])).
% 116.67/116.74  cnf(451,plain,
% 116.67/116.74     (P28(a7,a4)),
% 116.67/116.74     inference(scs_inference,[],[106,450,154])).
% 116.67/116.74  cnf(480,plain,
% 116.67/116.74     (P3(a7,a3)),
% 116.67/116.74     inference(scs_inference,[],[421,117,137])).
% 116.67/116.74  cnf(503,plain,
% 116.67/116.74     (P3(a1,a7)),
% 116.67/116.74     inference(scs_inference,[],[105,118,137])).
% 116.67/116.74  cnf(504,plain,
% 116.67/116.74     (P3(a7,a7)),
% 116.67/116.74     inference(scs_inference,[],[106,503,171])).
% 116.67/116.74  cnf(515,plain,
% 116.67/116.74     (P3(a7,x5151)+~E(a7,x5151)),
% 116.67/116.74     inference(scs_inference,[],[504,171,87,88])).
% 116.67/116.74  cnf(533,plain,
% 116.67/116.74     (~P36(a1,a8)),
% 116.67/116.74     inference(scs_inference,[],[102,119,147])).
% 116.67/116.74  cnf(547,plain,
% 116.67/116.74     (~P8(x5471,x5472,a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[503,533,138,139,88,135,136,134,137,186])).
% 116.67/116.74  cnf(638,plain,
% 116.67/116.74     (~P13(x6381,x6382)+~P25(x6381,x6382)),
% 116.67/116.74     inference(scs_inference,[],[122,148])).
% 116.67/116.74  cnf(686,plain,
% 116.67/116.74     (P11(x6861,x6862)+~P27(x6861,x6862)),
% 116.67/116.74     inference(scs_inference,[],[126,127])).
% 116.67/116.74  cnf(702,plain,
% 116.67/116.74     (~P10(x7021,x7022)+~P15(x7021,x7022)),
% 116.67/116.74     inference(scs_inference,[],[128,150])).
% 116.67/116.74  cnf(718,plain,
% 116.67/116.74     (~P12(x7181,x7182)+~P15(x7181,x7182)),
% 116.67/116.74     inference(scs_inference,[],[129,150])).
% 116.67/116.74  cnf(750,plain,
% 116.67/116.74     (P32(x7501,x7502)+~P12(x7501,x7502)),
% 116.67/116.74     inference(scs_inference,[],[131,143])).
% 116.67/116.74  cnf(789,plain,
% 116.67/116.74     (P12(a1,a9)),
% 116.67/116.74     inference(scs_inference,[],[103,133,136])).
% 116.67/116.74  cnf(792,plain,
% 116.67/116.74     (P12(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[106,789,750,170])).
% 116.67/116.74  cnf(860,plain,
% 116.67/116.74     (~P14(a7,a7)),
% 116.67/116.74     inference(scs_inference,[],[504,141,148])).
% 116.67/116.74  cnf(876,plain,
% 116.67/116.74     (~P11(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[792,142,149])).
% 116.67/116.74  cnf(1129,plain,
% 116.67/116.74     (~P25(a1,x11291)+~P13(a7,x11291)),
% 116.67/116.74     inference(scs_inference,[],[106,638,174])).
% 116.67/116.74  cnf(1215,plain,
% 116.67/116.74     (~P3(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[792,718,140])).
% 116.67/116.74  cnf(1223,plain,
% 116.67/116.74     (~P22(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[504,1215,137,88,117,116,118])).
% 116.67/116.74  cnf(1231,plain,
% 116.67/116.74     (~P4(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[112,111,105,107,504,193,421,1215,137,88,117,116,118,186,70,23,187,114])).
% 116.67/116.74  cnf(1233,plain,
% 116.67/116.74     (~P17(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[112,111,105,107,504,193,421,1215,137,88,117,116,118,186,70,23,187,114,115])).
% 116.67/116.74  cnf(1736,plain,
% 116.67/116.74     (P23(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[100,106,146,156])).
% 116.67/116.74  cnf(1903,plain,
% 116.67/116.74     (P7(a7,f10(a8),a8)),
% 116.67/116.74     inference(scs_inference,[],[102,106,181,156])).
% 116.67/116.74  cnf(1904,plain,
% 116.67/116.74     (P7(a7,x19041,a8)+~E(f10(a8),x19041)),
% 116.67/116.74     inference(scs_inference,[],[1903,49])).
% 116.67/116.74  cnf(2856,plain,
% 116.67/116.74     (P31(x28561,f10(a5))+~E(a7,x28561)),
% 116.67/116.74     inference(scs_inference,[],[197,36,145])).
% 116.67/116.74  cnf(2857,plain,
% 116.67/116.74     (P31(a7,f10(a5))),
% 116.67/116.74     inference(equality_inference,[],[2856])).
% 116.67/116.74  cnf(2866,plain,
% 116.67/116.74     (P31(a7,x28661)+~E(f10(a5),x28661)),
% 116.67/116.74     inference(scs_inference,[],[2857,37])).
% 116.67/116.74  cnf(3388,plain,
% 116.67/116.74     (~P27(a7,x33881)+~E(x33881,a9)),
% 116.67/116.74     inference(scs_inference,[],[876,66,686])).
% 116.67/116.74  cnf(3405,plain,
% 116.67/116.74     (~P15(a1,x34051)+P15(x34052,x34051)+~E(a7,x34052)),
% 116.67/116.74     inference(scs_inference,[],[106,67,173])).
% 116.67/116.74  cnf(3406,plain,
% 116.67/116.74     (P15(a7,x34061)+~P15(a1,x34061)),
% 116.67/116.74     inference(equality_inference,[],[3405])).
% 116.67/116.74  cnf(3422,plain,
% 116.67/116.74     (P15(a7,a7)),
% 116.67/116.74     inference(scs_inference,[],[503,3406,140])).
% 116.67/116.74  cnf(3427,plain,
% 116.67/116.74     (~P6(a7,a7)),
% 116.67/116.74     inference(scs_inference,[],[3422,718,135,136])).
% 116.67/116.74  cnf(3930,plain,
% 116.67/116.74     (~P13(a7,x39301)+~E(x39301,a7)),
% 116.67/116.74     inference(scs_inference,[],[860,72,122])).
% 116.67/116.74  cnf(3981,plain,
% 116.67/116.74     (~P26(a1,x39811)+P26(x39812,x39811)+~E(a7,x39812)),
% 116.67/116.74     inference(scs_inference,[],[106,75,176])).
% 116.67/116.74  cnf(3982,plain,
% 116.67/116.74     (P26(a7,x39821)+~P26(a1,x39821)),
% 116.67/116.74     inference(equality_inference,[],[3981])).
% 116.67/116.74  cnf(4122,plain,
% 116.67/116.74     (~P19(a1,x41221)+P19(a7,x41222)+~E(x41221,x41222)),
% 116.67/116.74     inference(scs_inference,[],[106,82,157])).
% 116.67/116.74  cnf(4123,plain,
% 116.67/116.74     (~P19(a1,x41231)+P19(a7,x41231)),
% 116.67/116.74     inference(equality_inference,[],[4122])).
% 116.67/116.74  cnf(4139,plain,
% 116.67/116.74     (P19(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[100,4123,119])).
% 116.67/116.74  cnf(4140,plain,
% 116.67/116.74     (~P36(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147])).
% 116.67/116.74  cnf(4142,plain,
% 116.67/116.74     (~P3(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139])).
% 116.67/116.74  cnf(4144,plain,
% 116.67/116.74     (~P12(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138])).
% 116.67/116.74  cnf(4146,plain,
% 116.67/116.74     (~P6(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136])).
% 116.67/116.74  cnf(4150,plain,
% 116.67/116.74     (~P31(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136,135,134])).
% 116.67/116.74  cnf(4152,plain,
% 116.67/116.74     (~P29(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136,135,134,137])).
% 116.67/116.74  cnf(4157,plain,
% 116.67/116.74     (~P28(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136,135,134,137,2866,186,117])).
% 116.67/116.74  cnf(4159,plain,
% 116.67/116.74     (~P5(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136,135,134,137,2866,186,117,116])).
% 116.67/116.74  cnf(4161,plain,
% 116.67/116.74     (~P22(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136,135,134,137,2866,186,117,116,118])).
% 116.67/116.74  cnf(4165,plain,
% 116.67/116.74     (~P17(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136,135,134,137,2866,186,117,116,118,157,115])).
% 116.67/116.74  cnf(4167,plain,
% 116.67/116.74     (~P4(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[4139,147,139,138,136,135,134,137,2866,186,117,116,118,157,115,114])).
% 116.67/116.74  cnf(4245,plain,
% 116.67/116.74     (~P30(a1,x42451)+P30(x42452,x42451)+~E(a7,x42452)),
% 116.67/116.74     inference(scs_inference,[],[106,83,166])).
% 116.67/116.74  cnf(4246,plain,
% 116.67/116.74     (P30(a7,x42461)+~P30(a1,x42461)),
% 116.67/116.74     inference(equality_inference,[],[4245])).
% 116.67/116.74  cnf(4262,plain,
% 116.67/116.74     (P30(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[789,4246,129])).
% 116.67/116.74  cnf(4263,plain,
% 116.67/116.74     (~P15(a7,a9)),
% 116.67/116.74     inference(scs_inference,[],[4262,150])).
% 116.67/116.74  cnf(4399,plain,
% 116.67/116.74     (P12(a1,a6)),
% 116.67/116.74     inference(scs_inference,[],[104,136])).
% 116.67/116.74  cnf(4401,plain,
% 116.67/116.74     (P6(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[104,2857,136,134])).
% 116.67/116.74  cnf(4403,plain,
% 116.67/116.74     (P12(a7,a6)),
% 116.67/116.74     inference(scs_inference,[],[106,104,2857,136,134,170])).
% 116.67/116.74  cnf(4419,plain,
% 116.67/116.74     (P12(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[4401,136])).
% 116.67/116.74  cnf(4447,plain,
% 116.67/116.74     (P36(a1,a7)),
% 116.67/116.74     inference(scs_inference,[],[503,139])).
% 116.67/116.74  cnf(4459,plain,
% 116.67/116.74     (P36(a7,a3)),
% 116.67/116.74     inference(scs_inference,[],[451,480,117,139])).
% 116.67/116.74  cnf(4461,plain,
% 116.67/116.74     (P3(a7,a4)),
% 116.67/116.74     inference(scs_inference,[],[451,480,117,139,137])).
% 116.67/116.74  cnf(4484,plain,
% 116.67/116.74     (P36(a7,a4)),
% 116.67/116.74     inference(scs_inference,[],[105,420,4447,4461,147,118,117,139])).
% 116.67/116.74  cnf(4486,plain,
% 116.67/116.74     (P3(a1,a3)),
% 116.67/116.74     inference(scs_inference,[],[105,420,4447,4461,147,118,117,139,137])).
% 116.67/116.74  cnf(4513,plain,
% 116.67/116.74     (P3(a1,a4)),
% 116.67/116.74     inference(scs_inference,[],[789,450,4459,4486,138,147,139,117,137])).
% 116.67/116.74  cnf(4532,plain,
% 116.67/116.74     (P36(a1,a6)),
% 116.67/116.74     inference(scs_inference,[],[4399,138])).
% 116.67/116.74  cnf(4538,plain,
% 116.67/116.74     (P36(a7,a6)),
% 116.67/116.74     inference(scs_inference,[],[106,4399,4484,4513,138,147,139,172])).
% 116.67/116.74  cnf(4557,plain,
% 116.67/116.74     (P36(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[4419,138])).
% 116.67/116.74  cnf(4577,plain,
% 116.67/116.74     (~P30(a1,a7)),
% 116.67/116.74     inference(scs_inference,[],[106,3422,4532,150,147,166])).
% 116.67/116.74  cnf(4581,plain,
% 116.67/116.74     (~P12(a1,a7)),
% 116.67/116.74     inference(scs_inference,[],[106,3422,4532,150,147,166,128,129])).
% 116.67/116.74  cnf(4599,plain,
% 116.67/116.74     (~P19(a7,a6)),
% 116.67/116.74     inference(scs_inference,[],[4538,147])).
% 116.67/116.74  cnf(4603,plain,
% 116.67/116.74     (P30(a1,a9)),
% 116.67/116.74     inference(scs_inference,[],[106,789,1223,4538,147,175,129])).
% 116.67/116.74  cnf(4611,plain,
% 116.67/116.74     (~P3(a1,a9)),
% 116.67/116.74     inference(scs_inference,[],[106,789,1223,4577,4263,4538,147,175,129,119,166,173,140])).
% 116.67/116.74  cnf(4630,plain,
% 116.67/116.74     (~P18(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[106,4399,4161,4557,129,147,175,157,4246,119])).
% 116.67/116.74  cnf(4633,plain,
% 116.67/116.74     (~P18(a1,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[106,4399,4161,4557,4603,129,147,175,157,4246,119,83,156])).
% 116.67/116.74  cnf(4644,plain,
% 116.67/116.74     (P30(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[4419,129])).
% 116.67/116.74  cnf(5777,plain,
% 116.67/116.74     (~P14(x57771,a7)+~E(x57771,a1)),
% 116.67/116.74     inference(scs_inference,[],[106,860,160,71])).
% 116.67/116.74  cnf(5778,plain,
% 116.67/116.74     (~P14(a1,a7)),
% 116.67/116.74     inference(equality_inference,[],[5777])).
% 116.67/116.74  cnf(5880,plain,
% 116.67/116.74     (P6(a7,f10(a8))),
% 116.67/116.74     inference(scs_inference,[],[4633,4403,229,142,236,144])).
% 116.67/116.74  cnf(5882,plain,
% 116.67/116.74     (P31(a7,f10(a8))),
% 116.67/116.74     inference(scs_inference,[],[4633,4403,229,142,236,144,145])).
% 116.67/116.74  cnf(5884,plain,
% 116.67/116.74     (P23(a7,f10(a8))),
% 116.67/116.74     inference(scs_inference,[],[4633,4403,229,142,236,144,145,146])).
% 116.67/116.74  cnf(5886,plain,
% 116.67/116.74     (P7(a7,f10(a5),a5)),
% 116.67/116.74     inference(scs_inference,[],[4633,4403,229,197,142,236,144,145,146,181])).
% 116.67/116.74  cnf(5890,plain,
% 116.67/116.74     (P15(a7,a4)),
% 116.67/116.74     inference(scs_inference,[],[4633,4403,4461,229,197,142,236,144,145,146,181,141,140])).
% 116.67/116.74  cnf(5892,plain,
% 116.67/116.74     (~P15(a7,a6)),
% 116.67/116.74     inference(scs_inference,[],[4633,4403,4461,229,197,142,236,144,145,146,181,141,140,718])).
% 116.67/116.74  cnf(5894,plain,
% 116.67/116.74     (~P15(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[4633,4644,4403,4461,229,197,142,236,144,145,146,181,141,140,718,150])).
% 116.67/116.74  cnf(5938,plain,
% 116.67/116.74     (~P12(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[1233,4611,1231,4142,4157,4152,4581,4146,4150,4144,4159,4633,4644,4403,4461,4140,876,229,197,106,142,236,144,145,146,181,141,140,718,150,136,134,137,120,119,165,155,154,151,172,153,178,171,169,152,170,638,3406,122,133,147,138])).
% 116.67/116.74  cnf(5948,plain,
% 116.67/116.74     (P16(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[1233,4611,5778,1231,4142,4157,4152,4581,4146,4150,4144,4159,4633,4644,4403,4461,4140,876,229,197,106,142,236,144,145,146,181,141,140,718,150,136,134,137,120,119,165,155,154,151,172,153,178,171,169,152,170,638,3406,122,133,147,138,123,126,117,160,125])).
% 116.67/116.74  cnf(5952,plain,
% 116.67/116.74     (P11(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[1233,4611,5778,1231,4142,4157,4152,4581,4146,4150,4144,4159,4633,4644,4403,4461,4140,876,229,197,106,142,236,144,145,146,181,141,140,718,150,136,134,137,120,119,165,155,154,151,172,153,178,171,169,152,170,638,3406,122,133,147,138,123,126,117,160,125,130,686])).
% 116.67/116.74  cnf(5956,plain,
% 116.67/116.74     (~P3(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[1233,4611,5778,1231,4142,4157,4152,4581,4146,4150,4144,4159,4633,4644,4403,4461,4140,876,229,197,106,142,236,144,145,146,181,141,140,718,150,136,134,137,120,119,165,155,154,151,172,153,178,171,169,152,170,638,3406,122,133,147,138,123,126,117,160,125,130,686,128,139])).
% 116.67/116.74  cnf(5958,plain,
% 116.67/116.74     (~P15(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[1233,4611,5778,1231,4142,4157,4152,4581,4146,4150,4144,4159,4633,4644,4403,4461,4140,876,229,197,106,142,236,144,145,146,181,141,140,718,150,136,134,137,120,119,165,155,154,151,172,153,178,171,169,152,170,638,3406,122,133,147,138,123,126,117,160,125,130,686,128,139,702])).
% 116.67/116.74  cnf(5975,plain,
% 116.67/116.74     (~P6(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[5938,5952,5958,4513,4399,149,141,142,140,3406,136])).
% 116.67/116.74  cnf(5979,plain,
% 116.67/116.74     (~P29(a7,a8)),
% 116.67/116.74     inference(scs_inference,[],[5938,5952,5956,5958,4513,4399,149,141,142,140,3406,136,134,137])).
% 116.67/116.74  cnf(5981,plain,
% 116.67/116.74     (P13(a7,a5)),
% 116.67/116.74     inference(scs_inference,[],[5938,5952,5956,5958,4513,4399,197,149,141,142,140,3406,136,134,137,120])).
% 116.67/116.74  cnf(5992,plain,
% 116.67/116.74     (~P7(a7,f10(a8),f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[95,5892,5890,5938,5952,5956,5958,5880,5882,5884,4165,4167,3427,4150,4513,1903,4399,108,99,197,96,103,104,113,100,102,105,111,106,98,110,109,97,112,107,149,141,142,140,3406,136,134,137,120,119,39,153,68,151,37,190])).
% 116.67/116.74  cnf(5994,plain,
% 116.67/116.74     (~P13(a7,a4)),
% 116.67/116.74     inference(scs_inference,[],[95,5892,5890,5938,5952,5956,5958,5880,5882,5884,4165,4167,3427,4150,4513,1903,4399,108,99,197,96,103,104,113,100,102,105,111,106,98,110,109,97,112,107,149,141,142,140,3406,136,134,137,120,119,39,153,68,151,37,190,1129])).
% 116.67/116.74  cnf(6001,plain,
% 116.67/116.74     (P25(a1,a3)),
% 116.67/116.74     inference(scs_inference,[],[5975,4486,133,141])).
% 116.67/116.74  cnf(6011,plain,
% 116.67/116.74     (P26(a7,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[5975,5981,5894,4486,4419,133,141,122,1129,638,3406,142])).
% 116.67/116.74  cnf(6047,plain,
% 116.67/116.74     (P15(a7,a3)),
% 116.67/116.74     inference(scs_inference,[],[5948,5975,5979,5981,5894,5992,4486,4419,102,106,133,141,122,1129,638,3406,142,140,118,123,117,126,119,120,184,686,130,149,128,125,150,116,163,174,173])).
% 116.67/116.74  cnf(6153,plain,
% 116.67/116.74     (~E(a3,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[6047,5894,68])).
% 116.67/116.74  cnf(6801,plain,
% 116.67/116.74     (P18(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189])).
% 116.67/116.74  cnf(6803,plain,
% 116.67/116.74     (P19(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119])).
% 116.67/116.74  cnf(6805,plain,
% 116.67/116.74     (P13(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120])).
% 116.67/116.74  cnf(6809,plain,
% 116.67/116.74     (~P36(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147])).
% 116.67/116.74  cnf(6814,plain,
% 116.67/116.74     (~P12(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138])).
% 116.67/116.74  cnf(6816,plain,
% 116.67/116.74     (P27(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123])).
% 116.67/116.74  cnf(6818,plain,
% 116.67/116.74     (~P6(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123,136])).
% 116.67/116.74  cnf(6820,plain,
% 116.67/116.74     (~P31(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123,136,134])).
% 116.67/116.74  cnf(6822,plain,
% 116.67/116.74     (~P21(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123,136,134,133])).
% 116.67/116.74  cnf(6826,plain,
% 116.67/116.74     (~P3(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123,136,134,133,122,139])).
% 116.67/116.74  cnf(6828,plain,
% 116.67/116.74     (P10(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123,136,134,133,122,139,126])).
% 116.67/116.74  cnf(6834,plain,
% 116.67/116.74     (P11(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123,136,134,133,122,139,126,128,125,686])).
% 116.67/116.74  cnf(6836,plain,
% 116.67/116.74     (~P15(a7,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[103,547,1903,99,5880,5884,108,5882,95,96,104,100,113,102,111,105,112,107,106,110,98,109,97,189,119,120,638,147,60,3930,138,123,136,134,133,122,139,126,128,125,686,150])).
% 116.67/116.74  cnf(6885,plain,
% 116.67/116.74     (~P5(a1,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[6809,6803,6805,6814,6816,6818,6820,6822,6826,6828,6834,6836,6801,4630,5994,4599,2857,106,193,375,380,515,3388,137,149,130,3406,117,116,118,23,171,178,155,168,170,172,169,3982,54,40,37,82,154,30,152])).
% 116.67/116.74  cnf(6915,plain,
% 116.67/116.74     (~E(f10(a8),f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[6820,5882,37])).
% 116.67/116.74  cnf(7112,plain,
% 116.67/116.74     (~P7(a7,f10(a5),f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[108,1903,99,4401,1736,5884,95,5880,103,96,2857,5882,113,104,100,102,111,105,112,107,106,110,98,109,97,190])).
% 116.67/116.74  cnf(7120,plain,
% 116.67/116.74     (~P7(a7,x71201,f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))+~E(x71201,f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[7112,5886,106,184,50,49])).
% 116.67/116.74  cnf(7941,plain,
% 116.67/116.74     (~P10(a7,a3)),
% 116.67/116.74     inference(scs_inference,[],[6047,702])).
% 116.67/116.74  cnf(7947,plain,
% 116.67/116.74     (~P10(a1,a3)),
% 116.67/116.74     inference(scs_inference,[],[7941,106,164])).
% 116.67/116.74  cnf(8076,plain,
% 116.67/116.74     (P23(a7,f10(f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.67/116.74     inference(scs_inference,[],[6801,146])).
% 116.67/116.74  cnf(8078,plain,
% 116.67/116.74     (P7(a7,f10(f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7)),f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7))),
% 116.67/116.74     inference(scs_inference,[],[6801,146,181])).
% 116.67/116.74  cnf(8080,plain,
% 116.67/116.74     (P6(a7,f10(f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.67/116.74     inference(scs_inference,[],[6801,146,181,144])).
% 116.67/116.74  cnf(8082,plain,
% 116.67/116.74     (P31(a7,f10(f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7)))),
% 116.67/116.74     inference(scs_inference,[],[6801,146,181,144,145])).
% 116.67/116.74  cnf(8085,plain,
% 116.67/116.74     (~E(f10(f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7)),f10(a5))),
% 116.67/116.74     inference(scs_inference,[],[5992,6801,146,181,144,145,49,7120])).
% 116.67/116.74  cnf(8095,plain,
% 116.67/116.74     (~P7(a7,f10(f2(a1,a5,a4,a8,a3,a5,a4,a6,a7,a3,a8,a9,a6,a7)),a8)),
% 116.67/116.74     inference(scs_inference,[],[8076,8078,8080,8082,100,102,107,106,109,110,113,98,97,95,103,104,99,96,112,105,108,111,190])).
% 116.67/116.74  cnf(8139,plain,
% 116.67/116.74     ($false),
% 116.67/116.74     inference(scs_inference,[],[95,111,105,108,112,96,5884,99,104,5880,103,5882,97,98,113,110,109,1903,106,107,102,100,8082,8080,6153,6805,5890,8078,6820,5894,8076,6915,6885,6001,7947,6011,8095,8085,150,4,186,126,2,140,115,136,149,114,138,121,1904,148,37,166,190]),
% 116.67/116.74     ['proof']).
% 116.67/116.74  % SZS output end Proof
% 116.67/116.74  % Total time :116.070000s
%------------------------------------------------------------------------------