TSTP Solution File: SYO903_10 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 : Fri May  3 03:39:08 EDT 2024

% Result   : Theorem 0.96s 1.17s
% Output   : CNFRefutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  505 (   0 equ)
%            Maximal formula atoms :    8 (   8 avg)
%            Number of connectives :  509 ( 207   ~; 246   |;   0   &)
%                                         (   0 <=>;  56  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  144 ( 144 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  143 (   0 sgn 114   !;   0   ?; 114   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(f5,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v4(X3) ) )
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world')
    | v1('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat3) ).

tff(f7,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v3(X3) ) )
    | v3('$ki_local_world')
    | v1('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat5) ).

tff(f9,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v2(X3) ) )
    | ~ v4('$ki_local_world')
    | ~ v2('$ki_local_world')
    | v1('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat7) ).

tff(f20,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v1(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat18) ).

tff(f28,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v3(X3) ) )
    | ~ v4('$ki_local_world')
    | v3('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat26) ).

tff(f31,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v3(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ~ v1('$ki_local_world')
    | v4('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat29) ).

tff(f33,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v1(X3) ) )
    | ~ v3('$ki_local_world')
    | v4('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat31) ).

tff(f36,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => ~ v1(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ~ v2('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat34) ).

tff(f37,axiom,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X0,X3)
           => v4(X3) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v3(X0) )
    | ~ v3('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat35) ).

tff(f58,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) )
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(rectify,[],[f5]) ).

tff(f60,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v3(X3) ) )
    | v3('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(rectify,[],[f7]) ).

tff(f62,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v2(X1) ) )
    | ~ v4('$ki_local_world')
    | ~ v2('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(rectify,[],[f9]) ).

tff(f73,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ~ v1(X2) )
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world') ),
    inference(rectify,[],[f20]) ).

tff(f81,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v3(X3) ) )
    | ~ v4('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(rectify,[],[f28]) ).

tff(f84,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ~ v1(X2) )
    | ~ v1('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(rectify,[],[f31]) ).

tff(f86,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v1(X3) ) )
    | ~ v3('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(rectify,[],[f33]) ).

tff(f89,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ~ v4(X2) )
    | ~ v2('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(rectify,[],[f36]) ).

tff(f90,plain,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ~ v3(X2) )
    | ~ v3('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(rectify,[],[f37]) ).

tff(f112,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f58]) ).

tff(f114,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | v3('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f60]) ).

tff(f116,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v2(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ~ v4('$ki_local_world')
    | ~ v2('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f62]) ).

tff(f127,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ~ v1(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world') ),
    inference(ennf_transformation,[],[f73]) ).

tff(f135,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v4('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(ennf_transformation,[],[f81]) ).

tff(f138,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ~ v1(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v1('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(ennf_transformation,[],[f84]) ).

tff(f140,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v1(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v3('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(ennf_transformation,[],[f86]) ).

tff(f143,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ~ v4(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v2('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f89]) ).

tff(f144,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ~ v3(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ~ v3('$ki_local_world')
    | ~ v1('$ki_local_world') ),
    inference(ennf_transformation,[],[f90]) ).

tff(f162,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f166,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3('$ki_local_world')
      | v2('$ki_local_world')
      | v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f112]) ).

tff(f168,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v3('$ki_local_world')
      | v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f114]) ).

tff(f170,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v2(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4('$ki_local_world')
      | ~ v2('$ki_local_world')
      | v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f116]) ).

tff(f181,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3('$ki_local_world')
      | v2('$ki_local_world') ),
    inference(cnf_transformation,[],[f127]) ).

tff(f189,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v4('$ki_local_world')
      | v3('$ki_local_world') ),
    inference(cnf_transformation,[],[f135]) ).

tff(f192,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v1('$ki_local_world')
      | v4('$ki_local_world') ),
    inference(cnf_transformation,[],[f138]) ).

tff(f194,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3('$ki_local_world')
      | v4('$ki_local_world') ),
    inference(cnf_transformation,[],[f140]) ).

tff(f197,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v2('$ki_local_world')
      | ~ v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f143]) ).

tff(f198,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X2)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3('$ki_local_world')
      | ~ v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_49,plain,
    '$ki_accessible'(X0_13,X0_13),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_53,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ v4(X1_13)
    | ~ v3('$ki_local_world')
    | v1('$ki_local_world')
    | v2('$ki_local_world') ),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_55,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'(X2_13,X3_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | v3(X3_13)
    | v4(X1_13)
    | v1('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_57,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ v2(X1_13)
    | ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_68,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | ~ v1(X1_13)
    | ~ v1(X2_13)
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world') ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_76,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'(X2_13,X3_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | ~ v4(X1_13)
    | ~ v4('$ki_local_world')
    | v3(X3_13)
    | v3('$ki_local_world') ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_79,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | ~ v1(X2_13)
    | ~ v1('$ki_local_world')
    | v3(X1_13)
    | v4('$ki_local_world') ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_81,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'(X2_13,X3_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | ~ v3('$ki_local_world')
    | v1(X3_13)
    | v4(X1_13)
    | v4('$ki_local_world') ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_84,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | ~ v1(X1_13)
    | ~ v4(X2_13)
    | ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world') ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_85,plain,
    ( ~ '$ki_accessible'(X0_13,X1_13)
    | ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X2_13)
    | ~ v3(X2_13)
    | ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | v4(X1_13) ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_103,plain,
    '$ki_accessible'('$ki_local_world','$ki_local_world'),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_104,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v3('$ki_local_world')
    | ~ v4('$ki_local_world')
    | v1('$ki_local_world')
    | v2('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_106,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world')
    | v1('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_109,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v1('$ki_local_world')
    | v3('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_111,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_85]) ).

cnf(c_113,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | v2('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_114,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_116,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | v1('$ki_local_world')
    | v3('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_117,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v3('$ki_local_world')
    | v1('$ki_local_world')
    | v4('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_119,plain,
    ( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
    | ~ v4('$ki_local_world')
    | v3('$ki_local_world') ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_126,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_119,c_117,c_116,c_114,c_113,c_111,c_109,c_106,c_104,c_103]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYO903_10 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 20:24:27 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.96/1.17  % SZS status Started for theBenchmark.p
% 0.96/1.17  % SZS status Theorem for theBenchmark.p
% 0.96/1.17  
% 0.96/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.96/1.17  
% 0.96/1.17  ------  iProver source info
% 0.96/1.17  
% 0.96/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.96/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.96/1.17  git: non_committed_changes: false
% 0.96/1.17  
% 0.96/1.17  ------ Parsing...
% 0.96/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.96/1.17  
% 0.96/1.17  
% 0.96/1.17  ------ Preprocessing...
% 0.96/1.17  
% 0.96/1.17  % SZS status Theorem for theBenchmark.p
% 0.96/1.17  
% 0.96/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.96/1.17  
% 0.96/1.17  
%------------------------------------------------------------------------------