TSTP Solution File: SYN548+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN548+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 06:03:29 EDT 2022

% Result   : Theorem 0.27s 11.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   98
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  163 (  15 unt;   0 def)
%            Number of atoms       :  574 (   0 equ)
%            Maximal formula atoms :   59 (   3 avg)
%            Number of connectives :  548 ( 137   ~; 378   |;  20   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  106 (   0 sgn  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ? [X1] :
      ( reachable(initial_world,X1)
      & ! [X2] :
          ( reachable(X1,X2)
         => ( ! [X3] :
                ( reachable(X2,X3)
               => ( p(X3)
                  | ! [X4] :
                      ( reachable(X3,X4)
                     => q(X4) ) ) )
          <=> ( ! [X5] :
                  ( reachable(X2,X5)
                 => p(X5) )
              | ! [X5] :
                  ( reachable(X2,X5)
                 => q(X5) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',prove_this) ).

fof(reflexivity_of_reachable,axiom,
    ! [X1] : reachable(X1,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity_of_reachable) ).

fof(transitivity_of_reachable,axiom,
    ! [X1,X2,X3] :
      ( ( reachable(X1,X2)
        & reachable(X2,X3) )
     => reachable(X1,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',transitivity_of_reachable) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( reachable(initial_world,X1)
        & ! [X2] :
            ( reachable(X1,X2)
           => ( ! [X3] :
                  ( reachable(X2,X3)
                 => ( p(X3)
                    | ! [X4] :
                        ( reachable(X3,X4)
                       => q(X4) ) ) )
            <=> ( ! [X5] :
                    ( reachable(X2,X5)
                   => p(X5) )
                | ! [X5] :
                    ( reachable(X2,X5)
                   => q(X5) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_4,negated_conjecture,
    ! [X6,X12,X13,X14,X15] :
      ( ( reachable(X6,esk1_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk4_1(X6))
        | reachable(esk1_1(X6),esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ p(esk4_1(X6))
        | reachable(esk1_1(X6),esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk5_1(X6))
        | reachable(esk1_1(X6),esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ q(esk5_1(X6))
        | reachable(esk1_1(X6),esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk4_1(X6))
        | ~ p(esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ p(esk4_1(X6))
        | ~ p(esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk5_1(X6))
        | ~ p(esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ q(esk5_1(X6))
        | ~ p(esk2_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk4_1(X6))
        | reachable(esk2_1(X6),esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ p(esk4_1(X6))
        | reachable(esk2_1(X6),esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk5_1(X6))
        | reachable(esk2_1(X6),esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ q(esk5_1(X6))
        | reachable(esk2_1(X6),esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk4_1(X6))
        | ~ q(esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ p(esk4_1(X6))
        | ~ q(esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( reachable(esk1_1(X6),esk5_1(X6))
        | ~ q(esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ q(esk5_1(X6))
        | ~ q(esk3_1(X6))
        | ~ reachable(initial_world,X6) )
      & ( ~ reachable(esk1_1(X6),X12)
        | p(X12)
        | ~ reachable(X12,X13)
        | q(X13)
        | ~ reachable(esk1_1(X6),X14)
        | p(X14)
        | ~ reachable(esk1_1(X6),X15)
        | q(X15)
        | ~ reachable(initial_world,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).

fof(c_0_5,plain,
    ! [X2] : reachable(X2,X2),
    inference(variable_rename,[status(thm)],[reflexivity_of_reachable]) ).

fof(c_0_6,plain,
    ! [X4,X5,X6] :
      ( ~ reachable(X4,X5)
      | ~ reachable(X5,X6)
      | reachable(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_reachable])]) ).

cnf(c_0_7,negated_conjecture,
    ( reachable(esk1_1(X1),esk2_1(X1))
    | reachable(esk1_1(X1),esk4_1(X1))
    | ~ reachable(initial_world,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    reachable(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( reachable(X1,X2)
    | ~ reachable(X3,X2)
    | ~ reachable(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ( reachable(X1,esk1_1(X1))
    | ~ reachable(initial_world,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(X1,esk4_1(initial_world))
    | ~ reachable(X1,esk1_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    reachable(initial_world,esk1_1(initial_world)),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    ( q(X2)
    | p(X3)
    | q(X4)
    | p(X5)
    | ~ reachable(initial_world,X1)
    | ~ reachable(esk1_1(X1),X2)
    | ~ reachable(esk1_1(X1),X3)
    | ~ reachable(X5,X4)
    | ~ reachable(esk1_1(X1),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    ( reachable(esk1_1(X1),esk2_1(X1))
    | reachable(esk1_1(X1),esk5_1(X1))
    | ~ reachable(initial_world,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(initial_world,esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( q(X1)
    | q(X2)
    | p(esk4_1(initial_world))
    | p(X3)
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | ~ reachable(esk1_1(initial_world),X3)
    | ~ reachable(esk1_1(initial_world),X2)
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_10]),c_0_8])]) ).

cnf(c_0_18,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ( q(X1)
    | q(X2)
    | p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | ~ reachable(esk1_1(initial_world),X1)
    | ~ reachable(esk4_1(initial_world),X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(X1,esk5_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( reachable(esk4_1(initial_world),esk1_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ( q(esk5_1(initial_world))
    | q(X1)
    | p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk4_1(initial_world),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( reachable(esk1_1(X1),esk2_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ q(esk5_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16]) ).

cnf(c_0_28,negated_conjecture,
    ( reachable(esk1_1(X1),esk2_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ p(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_29,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_27]),c_0_8])]) ).

cnf(c_0_30,negated_conjecture,
    ( reachable(esk2_1(X1),esk3_1(X1))
    | reachable(esk1_1(X1),esk5_1(X1))
    | ~ reachable(initial_world,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_8])]) ).

cnf(c_0_32,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(X1,esk1_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_22]) ).

cnf(c_0_33,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk2_1(esk4_1(initial_world)),esk3_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_16]) ).

cnf(c_0_34,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(X1,esk2_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk1_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_10]) ).

cnf(c_0_36,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(X1,esk3_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk3_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    ( reachable(esk4_1(initial_world),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_22]) ).

cnf(c_0_40,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | q(X1)
    | p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk4_1(initial_world),esk3_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    ( reachable(esk1_1(X1),esk5_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ q(esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_43,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_16]) ).

cnf(c_0_45,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(X1,esk5_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_44]) ).

cnf(c_0_46,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_35]) ).

cnf(c_0_47,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(X1)
    | p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_46]) ).

cnf(c_0_48,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk4_1(initial_world),esk5_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_22]) ).

cnf(c_0_49,negated_conjecture,
    ( reachable(esk2_1(X1),esk3_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ q(esk5_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_50,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk2_1(esk4_1(initial_world)),esk3_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_16]) ).

cnf(c_0_52,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | reachable(X1,esk3_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk3_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_37]) ).

cnf(c_0_54,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | q(X1)
    | p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world))
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_53]) ).

cnf(c_0_55,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk4_1(initial_world),esk3_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_39]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ reachable(initial_world,X1)
    | ~ q(esk3_1(X1))
    | ~ q(esk5_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_57,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    ( p(esk4_1(initial_world))
    | reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_16]),c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    ( reachable(esk2_1(X1),esk3_1(X1))
    | reachable(esk1_1(X1),esk4_1(X1))
    | ~ reachable(initial_world,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_60,negated_conjecture,
    reachable(esk1_1(initial_world),esk2_1(initial_world)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_58]),c_0_8])]) ).

cnf(c_0_61,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk4_1(initial_world))
    | reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_8]) ).

cnf(c_0_62,negated_conjecture,
    ( q(X1)
    | q(X2)
    | p(esk2_1(initial_world))
    | p(X3)
    | ~ reachable(esk1_1(initial_world),X3)
    | ~ reachable(esk1_1(initial_world),X2)
    | ~ reachable(esk2_1(initial_world),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_60]),c_0_8])]) ).

cnf(c_0_63,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk4_1(initial_world))
    | reachable(X1,esk3_1(initial_world))
    | ~ reachable(X1,esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ( q(X1)
    | q(X2)
    | p(esk2_1(initial_world))
    | ~ reachable(esk1_1(initial_world),X1)
    | ~ reachable(esk2_1(initial_world),X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk3_1(initial_world))
    | reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    ( q(esk3_1(initial_world))
    | q(X1)
    | p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk4_1(initial_world))
    | ~ reachable(esk2_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_67,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk5_1(initial_world))
    | reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_8]) ).

cnf(c_0_68,negated_conjecture,
    ( reachable(esk1_1(X1),esk4_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ q(esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_69,negated_conjecture,
    ( q(esk3_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk5_1(initial_world))
    | reachable(X1,esk3_1(initial_world))
    | ~ reachable(X1,esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_8])]) ).

cnf(c_0_72,negated_conjecture,
    ( reachable(esk1_1(initial_world),esk3_1(initial_world))
    | reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_60]) ).

cnf(c_0_73,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(X1,esk4_1(initial_world))
    | ~ reachable(X1,esk1_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_71]) ).

cnf(c_0_74,negated_conjecture,
    ( q(esk3_1(initial_world))
    | q(X1)
    | p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk5_1(initial_world))
    | ~ reachable(esk2_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(initial_world,esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_13]) ).

cnf(c_0_76,negated_conjecture,
    ( q(X1)
    | q(X2)
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | p(X3)
    | ~ reachable(esk1_1(initial_world),X3)
    | ~ reachable(esk1_1(initial_world),X2)
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_71]),c_0_8])]) ).

cnf(c_0_77,negated_conjecture,
    ( q(esk3_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_67]) ).

cnf(c_0_78,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_75]) ).

cnf(c_0_79,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk4_1(initial_world),esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_75]) ).

cnf(c_0_80,negated_conjecture,
    ( q(X1)
    | q(X2)
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | ~ reachable(esk1_1(initial_world),X1)
    | ~ reachable(esk4_1(initial_world),X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_71]) ).

cnf(c_0_81,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_77]),c_0_8])]) ).

cnf(c_0_82,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(X1,esk5_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(X1,esk1_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_79]) ).

cnf(c_0_84,negated_conjecture,
    ( q(esk5_1(initial_world))
    | q(X1)
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk4_1(initial_world),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_82,c_0_79]) ).

cnf(c_0_86,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_71]) ).

cnf(c_0_87,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(initial_world),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_82,c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_87]),c_0_75]) ).

cnf(c_0_90,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(X1)
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | ~ reachable(esk2_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_88]) ).

cnf(c_0_91,negated_conjecture,
    ( p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_89]),c_0_8])]) ).

cnf(c_0_92,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(esk3_1(initial_world))
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_93,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_92]),c_0_8])]),c_0_89]) ).

cnf(c_0_94,negated_conjecture,
    ( reachable(esk2_1(X1),esk3_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ p(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_95,negated_conjecture,
    ( p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_93]),c_0_75]) ).

cnf(c_0_96,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_8])]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ reachable(initial_world,X1)
    | ~ q(esk3_1(X1))
    | ~ p(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_98,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(esk3_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_90,c_0_96]) ).

cnf(c_0_99,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_8])]),c_0_95]) ).

cnf(c_0_100,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_99]),c_0_75]) ).

cnf(c_0_101,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk2_1(esk4_1(initial_world)),esk3_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_75]) ).

cnf(c_0_102,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(X1,esk2_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_100]) ).

cnf(c_0_103,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(X1,esk3_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk4_1(initial_world),esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_79]) ).

cnf(c_0_105,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk4_1(initial_world),esk3_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_106,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_84,c_0_105]) ).

cnf(c_0_107,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_106]),c_0_75]) ).

cnf(c_0_108,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(X1,esk5_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_107]) ).

cnf(c_0_109,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk4_1(initial_world),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_108,c_0_79]) ).

cnf(c_0_110,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_109]) ).

cnf(c_0_111,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk2_1(esk4_1(initial_world)),esk3_1(esk4_1(initial_world))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_110]),c_0_75]) ).

cnf(c_0_112,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(X1,esk3_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_111]) ).

cnf(c_0_113,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(esk4_1(initial_world),esk3_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_112,c_0_104]) ).

cnf(c_0_114,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world))
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_113]) ).

cnf(c_0_115,negated_conjecture,
    ( q(esk5_1(initial_world))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_114]),c_0_75]),c_0_110]) ).

cnf(c_0_116,negated_conjecture,
    ( p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_115]),c_0_8])]) ).

cnf(c_0_117,negated_conjecture,
    ( p(esk2_1(initial_world))
    | p(esk4_1(initial_world))
    | reachable(X1,esk3_1(initial_world))
    | ~ reachable(X1,esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_116]) ).

cnf(c_0_118,negated_conjecture,
    ( p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk3_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_60]) ).

cnf(c_0_119,negated_conjecture,
    ( q(esk3_1(initial_world))
    | q(X1)
    | p(esk4_1(initial_world))
    | p(esk2_1(initial_world))
    | ~ reachable(esk2_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_118]) ).

cnf(c_0_120,negated_conjecture,
    ( q(esk3_1(initial_world))
    | p(esk2_1(initial_world))
    | p(esk4_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_119,c_0_116]) ).

cnf(c_0_121,negated_conjecture,
    ( p(esk4_1(initial_world))
    | p(esk2_1(initial_world)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_120]),c_0_8])]),c_0_115]) ).

cnf(c_0_122,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_121]),c_0_8])]) ).

cnf(c_0_123,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(X1,esk3_1(initial_world))
    | ~ reachable(X1,esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_122]) ).

cnf(c_0_124,negated_conjecture,
    ( p(esk2_1(initial_world))
    | reachable(esk1_1(initial_world),esk3_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_123,c_0_60]) ).

cnf(c_0_125,negated_conjecture,
    ( q(esk3_1(initial_world))
    | q(X1)
    | p(esk2_1(initial_world))
    | ~ reachable(esk2_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_124]) ).

cnf(c_0_126,negated_conjecture,
    ( q(esk3_1(initial_world))
    | p(esk2_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_125,c_0_122]) ).

cnf(c_0_127,negated_conjecture,
    ( reachable(esk1_1(X1),esk4_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ p(esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_128,negated_conjecture,
    p(esk2_1(initial_world)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_126]),c_0_8])]),c_0_121]) ).

cnf(c_0_129,negated_conjecture,
    reachable(esk1_1(initial_world),esk4_1(initial_world)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_8])]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ reachable(initial_world,X1)
    | ~ p(esk2_1(X1))
    | ~ p(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_131,negated_conjecture,
    ( reachable(X1,esk4_1(initial_world))
    | ~ reachable(X1,esk1_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_129]) ).

cnf(c_0_132,negated_conjecture,
    ~ p(esk4_1(initial_world)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_128]),c_0_8])]) ).

cnf(c_0_133,negated_conjecture,
    reachable(initial_world,esk4_1(initial_world)),
    inference(spm,[status(thm)],[c_0_131,c_0_13]) ).

cnf(c_0_134,negated_conjecture,
    ( q(X1)
    | q(X2)
    | p(X3)
    | ~ reachable(esk1_1(initial_world),X3)
    | ~ reachable(esk1_1(initial_world),X2)
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_129]),c_0_8])]),c_0_132]) ).

cnf(c_0_135,negated_conjecture,
    ( reachable(esk1_1(X1),esk5_1(X1))
    | ~ reachable(initial_world,X1)
    | ~ p(esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_136,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_133]) ).

cnf(c_0_137,negated_conjecture,
    ( q(X1)
    | q(X2)
    | ~ reachable(esk1_1(initial_world),X1)
    | ~ reachable(esk4_1(initial_world),X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_129]),c_0_132]) ).

cnf(c_0_138,negated_conjecture,
    reachable(esk1_1(initial_world),esk5_1(initial_world)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_128]),c_0_8])]) ).

cnf(c_0_139,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(X1,esk5_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_136]) ).

cnf(c_0_140,negated_conjecture,
    reachable(esk4_1(initial_world),esk1_1(esk4_1(initial_world))),
    inference(spm,[status(thm)],[c_0_11,c_0_133]) ).

cnf(c_0_141,negated_conjecture,
    ( q(esk5_1(initial_world))
    | q(X1)
    | ~ reachable(esk4_1(initial_world),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_142,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world)))
    | reachable(esk4_1(initial_world),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_143,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ reachable(initial_world,X1)
    | ~ p(esk2_1(X1))
    | ~ q(esk5_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_145,negated_conjecture,
    ( q(esk5_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_143]),c_0_133])]) ).

cnf(c_0_146,negated_conjecture,
    reachable(esk1_1(esk4_1(initial_world)),esk2_1(esk4_1(initial_world))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_128]),c_0_8])]) ).

cnf(c_0_147,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk2_1(esk4_1(initial_world)),esk3_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_133]) ).

cnf(c_0_148,negated_conjecture,
    ( reachable(X1,esk2_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_146]) ).

cnf(c_0_149,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(X1,esk3_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_147]) ).

cnf(c_0_150,negated_conjecture,
    reachable(esk4_1(initial_world),esk2_1(esk4_1(initial_world))),
    inference(spm,[status(thm)],[c_0_148,c_0_140]) ).

cnf(c_0_151,negated_conjecture,
    ( reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world)))
    | reachable(esk4_1(initial_world),esk3_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_152,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_141,c_0_151]) ).

cnf(c_0_153,negated_conjecture,
    ( q(esk5_1(initial_world))
    | reachable(esk1_1(esk4_1(initial_world)),esk5_1(esk4_1(initial_world))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_152]),c_0_133])]) ).

cnf(c_0_154,negated_conjecture,
    ( q(esk5_1(initial_world))
    | reachable(X1,esk5_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk1_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_153]) ).

cnf(c_0_155,negated_conjecture,
    ( q(esk5_1(initial_world))
    | reachable(esk4_1(initial_world),esk5_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_154,c_0_140]) ).

cnf(c_0_156,negated_conjecture,
    ( q(esk5_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_155]) ).

cnf(c_0_157,negated_conjecture,
    ( q(esk5_1(initial_world))
    | reachable(esk2_1(esk4_1(initial_world)),esk3_1(esk4_1(initial_world))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_156]),c_0_133])]) ).

cnf(c_0_158,negated_conjecture,
    ( q(esk5_1(initial_world))
    | reachable(X1,esk3_1(esk4_1(initial_world)))
    | ~ reachable(X1,esk2_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_157]) ).

cnf(c_0_159,negated_conjecture,
    ( q(esk5_1(initial_world))
    | reachable(esk4_1(initial_world),esk3_1(esk4_1(initial_world))) ),
    inference(spm,[status(thm)],[c_0_158,c_0_150]) ).

cnf(c_0_160,negated_conjecture,
    ( q(esk3_1(esk4_1(initial_world)))
    | q(esk5_1(initial_world)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_159]) ).

cnf(c_0_161,negated_conjecture,
    q(esk5_1(initial_world)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_160]),c_0_133])]),c_0_156]) ).

cnf(c_0_162,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_161]),c_0_128]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN548+1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n020.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  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 23:00:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.27/11.45  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.27/11.45  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.27/11.45  # Preprocessing time       : 0.014 s
% 0.27/11.45  
% 0.27/11.45  # Proof found!
% 0.27/11.45  # SZS status Theorem
% 0.27/11.45  # SZS output start CNFRefutation
% See solution above
% 0.27/11.45  # Proof object total steps             : 163
% 0.27/11.45  # Proof object clause steps            : 156
% 0.27/11.45  # Proof object formula steps           : 7
% 0.27/11.45  # Proof object conjectures             : 157
% 0.27/11.45  # Proof object clause conjectures      : 154
% 0.27/11.45  # Proof object formula conjectures     : 3
% 0.27/11.45  # Proof object initial clauses used    : 20
% 0.27/11.45  # Proof object initial formulas used   : 3
% 0.27/11.45  # Proof object generating inferences   : 136
% 0.27/11.45  # Proof object simplifying inferences  : 73
% 0.27/11.45  # Training examples: 0 positive, 0 negative
% 0.27/11.45  # Parsed axioms                        : 3
% 0.27/11.45  # Removed by relevancy pruning/SinE    : 0
% 0.27/11.45  # Initial clauses                      : 20
% 0.27/11.45  # Removed in clause preprocessing      : 0
% 0.27/11.45  # Initial clauses in saturation        : 20
% 0.27/11.45  # Processed clauses                    : 14900
% 0.27/11.45  # ...of these trivial                  : 87
% 0.27/11.45  # ...subsumed                          : 6059
% 0.27/11.45  # ...remaining for further processing  : 8754
% 0.27/11.45  # Other redundant clauses eliminated   : 0
% 0.27/11.45  # Clauses deleted for lack of memory   : 0
% 0.27/11.45  # Backward-subsumed                    : 3388
% 0.27/11.45  # Backward-rewritten                   : 1003
% 0.27/11.45  # Generated clauses                    : 101611
% 0.27/11.45  # ...of the previous two non-trivial   : 100806
% 0.27/11.45  # Contextual simplify-reflections      : 13561
% 0.27/11.45  # Paramodulations                      : 101611
% 0.27/11.45  # Factorizations                       : 0
% 0.27/11.45  # Equation resolutions                 : 0
% 0.27/11.45  # Current number of processed clauses  : 4363
% 0.27/11.45  #    Positive orientable unit clauses  : 93
% 0.27/11.45  #    Positive unorientable unit clauses: 0
% 0.27/11.45  #    Negative unit clauses             : 1
% 0.27/11.45  #    Non-unit-clauses                  : 4269
% 0.27/11.45  # Current number of unprocessed clauses: 26362
% 0.27/11.45  # ...number of literals in the above   : 207823
% 0.27/11.45  # Current number of archived formulas  : 0
% 0.27/11.45  # Current number of archived clauses   : 4391
% 0.27/11.45  # Clause-clause subsumption calls (NU) : 18468090
% 0.27/11.45  # Rec. Clause-clause subsumption calls : 862330
% 0.27/11.45  # Non-unit clause-clause subsumptions  : 22972
% 0.27/11.45  # Unit Clause-clause subsumption calls : 125636
% 0.27/11.45  # Rewrite failures with RHS unbound    : 0
% 0.27/11.45  # BW rewrite match attempts            : 1052
% 0.27/11.45  # BW rewrite match successes           : 33
% 0.27/11.45  # Condensation attempts                : 0
% 0.27/11.45  # Condensation successes               : 0
% 0.27/11.45  # Termbank termtop insertions          : 4849762
% 0.27/11.45  
% 0.27/11.45  # -------------------------------------------------
% 0.27/11.45  # User time                : 10.987 s
% 0.27/11.45  # System time              : 0.028 s
% 0.27/11.45  # Total time               : 11.015 s
% 0.27/11.45  # Maximum resident set size: 40908 pages
% 0.27/23.39  eprover: CPU time limit exceeded, terminating
% 0.27/23.39  eprover: CPU time limit exceeded, terminating
% 0.27/23.40  eprover: CPU time limit exceeded, terminating
% 0.27/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.41  eprover: No such file or directory
% 0.27/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.41  eprover: No such file or directory
% 0.27/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.41  eprover: No such file or directory
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.42  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.43  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
%------------------------------------------------------------------------------