TSTP Solution File: LAT345+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT345+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n005.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 : Sun Jul 17 04:47:32 EDT 2022

% Result   : Theorem 2.90s 27.09s
% Output   : CNFRefutation 2.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   47 (   9 unt;   0 def)
%            Number of atoms       :  280 (  43 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  383 ( 150   ~; 173   |;  47   &)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   74 (   0 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d8_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ! [X2] :
          ( l3_conlat_1(X2,X1)
         => ! [X3] :
              ( ( v6_conlat_1(X3,k7_conlat_2(X1))
                & l3_conlat_1(X3,k7_conlat_2(X1)) )
             => ( X3 = k8_conlat_2(X1,X2)
              <=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
                  & u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d8_conlat_2) ).

fof(t17_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & v4_conlat_1(X1)
        & l2_conlat_1(X1) )
     => k7_conlat_2(k7_conlat_2(X1)) = X1 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t17_conlat_2) ).

fof(dt_k7_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ( ~ v3_conlat_1(k7_conlat_2(X1))
        & v4_conlat_1(k7_conlat_2(X1))
        & l2_conlat_1(k7_conlat_2(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k7_conlat_2) ).

fof(dt_k8_conlat_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & l3_conlat_1(X2,X1) )
     => ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
        & l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k8_conlat_2) ).

fof(redefinition_k9_conlat_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & ~ v7_conlat_1(X2,X1)
        & v9_conlat_1(X2,X1)
        & l3_conlat_1(X2,X1) )
     => k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k9_conlat_2) ).

fof(t20_conlat_2,conjecture,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & v4_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ! [X2] :
          ( ( v6_conlat_1(X2,X1)
            & ~ v7_conlat_1(X2,X1)
            & v9_conlat_1(X2,X1)
            & l3_conlat_1(X2,X1) )
         => k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t20_conlat_2) ).

fof(dt_k9_conlat_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & ~ v7_conlat_1(X2,X1)
        & v9_conlat_1(X2,X1)
        & l3_conlat_1(X2,X1) )
     => ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k9_conlat_2) ).

fof(c_0_7,plain,
    ! [X4,X5,X6] :
      ( ( u4_conlat_1(k7_conlat_2(X4),X6) = u5_conlat_1(X4,X5)
        | X6 != k8_conlat_2(X4,X5)
        | ~ v6_conlat_1(X6,k7_conlat_2(X4))
        | ~ l3_conlat_1(X6,k7_conlat_2(X4))
        | ~ l3_conlat_1(X5,X4)
        | v3_conlat_1(X4)
        | ~ l2_conlat_1(X4) )
      & ( u5_conlat_1(k7_conlat_2(X4),X6) = u4_conlat_1(X4,X5)
        | X6 != k8_conlat_2(X4,X5)
        | ~ v6_conlat_1(X6,k7_conlat_2(X4))
        | ~ l3_conlat_1(X6,k7_conlat_2(X4))
        | ~ l3_conlat_1(X5,X4)
        | v3_conlat_1(X4)
        | ~ l2_conlat_1(X4) )
      & ( u4_conlat_1(k7_conlat_2(X4),X6) != u5_conlat_1(X4,X5)
        | u5_conlat_1(k7_conlat_2(X4),X6) != u4_conlat_1(X4,X5)
        | X6 = k8_conlat_2(X4,X5)
        | ~ v6_conlat_1(X6,k7_conlat_2(X4))
        | ~ l3_conlat_1(X6,k7_conlat_2(X4))
        | ~ l3_conlat_1(X5,X4)
        | v3_conlat_1(X4)
        | ~ l2_conlat_1(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d8_conlat_2])])])])])])]) ).

fof(c_0_8,plain,
    ! [X2] :
      ( v3_conlat_1(X2)
      | ~ v4_conlat_1(X2)
      | ~ l2_conlat_1(X2)
      | k7_conlat_2(k7_conlat_2(X2)) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t17_conlat_2])])]) ).

fof(c_0_9,plain,
    ! [X2] :
      ( ( ~ v3_conlat_1(k7_conlat_2(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( v4_conlat_1(k7_conlat_2(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) )
      & ( l2_conlat_1(k7_conlat_2(X2))
        | v3_conlat_1(X2)
        | ~ l2_conlat_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_conlat_2])])])]) ).

fof(c_0_10,plain,
    ! [X3,X4] :
      ( ( v6_conlat_1(k8_conlat_2(X3,X4),k7_conlat_2(X3))
        | v3_conlat_1(X3)
        | ~ l2_conlat_1(X3)
        | ~ l3_conlat_1(X4,X3) )
      & ( l3_conlat_1(k8_conlat_2(X3,X4),k7_conlat_2(X3))
        | v3_conlat_1(X3)
        | ~ l2_conlat_1(X3)
        | ~ l3_conlat_1(X4,X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_conlat_2])])])]) ).

cnf(c_0_11,plain,
    ( v3_conlat_1(X1)
    | X3 = k8_conlat_2(X1,X2)
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ l3_conlat_1(X3,k7_conlat_2(X1))
    | ~ v6_conlat_1(X3,k7_conlat_2(X1))
    | u5_conlat_1(k7_conlat_2(X1),X3) != u4_conlat_1(X1,X2)
    | u4_conlat_1(k7_conlat_2(X1),X3) != u5_conlat_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( k7_conlat_2(k7_conlat_2(X1)) = X1
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v4_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( v3_conlat_1(X1)
    | u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2)
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ l3_conlat_1(X3,k7_conlat_2(X1))
    | ~ v6_conlat_1(X3,k7_conlat_2(X1))
    | X3 != k8_conlat_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ( v3_conlat_1(X2)
    | l3_conlat_1(k8_conlat_2(X2,X1),k7_conlat_2(X2))
    | ~ l3_conlat_1(X1,X2)
    | ~ l2_conlat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ( v3_conlat_1(X2)
    | v6_conlat_1(k8_conlat_2(X2,X1),k7_conlat_2(X2))
    | ~ l3_conlat_1(X1,X2)
    | ~ l2_conlat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( X1 = k8_conlat_2(k7_conlat_2(X2),X3)
    | v3_conlat_1(X2)
    | u4_conlat_1(X2,X1) != u5_conlat_1(k7_conlat_2(X2),X3)
    | u5_conlat_1(X2,X1) != u4_conlat_1(k7_conlat_2(X2),X3)
    | ~ v6_conlat_1(X1,X2)
    | ~ l3_conlat_1(X3,k7_conlat_2(X2))
    | ~ l3_conlat_1(X1,X2)
    | ~ v4_conlat_1(X2)
    | ~ l2_conlat_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]) ).

cnf(c_0_19,plain,
    ( u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2)
    | v3_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_20,plain,
    ( v3_conlat_1(X1)
    | u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ l3_conlat_1(X3,k7_conlat_2(X1))
    | ~ v6_conlat_1(X3,k7_conlat_2(X1))
    | X3 != k8_conlat_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,plain,
    ( X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3))
    | v3_conlat_1(X2)
    | u5_conlat_1(X2,X1) != u4_conlat_1(k7_conlat_2(X2),k8_conlat_2(X2,X3))
    | u4_conlat_1(X2,X1) != u4_conlat_1(X2,X3)
    | ~ v6_conlat_1(X1,X2)
    | ~ l3_conlat_1(X1,X2)
    | ~ l3_conlat_1(X3,X2)
    | ~ v4_conlat_1(X2)
    | ~ l2_conlat_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).

cnf(c_0_22,plain,
    ( u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2)
    | v3_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_16]),c_0_17]) ).

cnf(c_0_23,plain,
    ( X1 = k8_conlat_2(k7_conlat_2(X2),k8_conlat_2(X2,X3))
    | v3_conlat_1(X2)
    | u5_conlat_1(X2,X1) != u5_conlat_1(X2,X3)
    | u4_conlat_1(X2,X1) != u4_conlat_1(X2,X3)
    | ~ v6_conlat_1(X1,X2)
    | ~ l3_conlat_1(X1,X2)
    | ~ l3_conlat_1(X3,X2)
    | ~ v4_conlat_1(X2)
    | ~ l2_conlat_1(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_24,plain,
    ! [X3,X4] :
      ( v3_conlat_1(X3)
      | ~ l2_conlat_1(X3)
      | v7_conlat_1(X4,X3)
      | ~ v9_conlat_1(X4,X3)
      | ~ l3_conlat_1(X4,X3)
      | k9_conlat_2(X3,X4) = k8_conlat_2(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2])])]) ).

cnf(c_0_25,plain,
    ( k8_conlat_2(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = X2
    | v3_conlat_1(X1)
    | ~ v6_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v4_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_26,plain,
    ( v3_conlat_1(X1)
    | v4_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_27,plain,
    ( k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
    | v7_conlat_1(X2,X1)
    | v3_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,plain,
    ( k8_conlat_2(X1,k8_conlat_2(k7_conlat_2(X1),X2)) = X2
    | v3_conlat_1(X1)
    | ~ v6_conlat_1(X2,k7_conlat_2(X1))
    | ~ l3_conlat_1(X2,k7_conlat_2(X1))
    | ~ v4_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_12]),c_0_13]),c_0_26]),c_0_14]) ).

cnf(c_0_29,plain,
    ( l3_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),X1)
    | v3_conlat_1(X1)
    | ~ l3_conlat_1(X2,k7_conlat_2(X1))
    | ~ v4_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13]),c_0_14]) ).

fof(c_0_30,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_conlat_1(X1)
          & v4_conlat_1(X1)
          & l2_conlat_1(X1) )
       => ! [X2] :
            ( ( v6_conlat_1(X2,X1)
              & ~ v7_conlat_1(X2,X1)
              & v9_conlat_1(X2,X1)
              & l3_conlat_1(X2,X1) )
           => k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
    inference(assume_negation,[status(cth)],[t20_conlat_2]) ).

cnf(c_0_31,plain,
    ( k9_conlat_2(X1,k8_conlat_2(k7_conlat_2(X1),X2)) = X2
    | v7_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),X1)
    | v3_conlat_1(X1)
    | ~ v9_conlat_1(k8_conlat_2(k7_conlat_2(X1),X2),X1)
    | ~ v6_conlat_1(X2,k7_conlat_2(X1))
    | ~ l3_conlat_1(X2,k7_conlat_2(X1))
    | ~ v4_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

fof(c_0_32,plain,
    ! [X3,X4] :
      ( ( v6_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
        | v3_conlat_1(X3)
        | ~ l2_conlat_1(X3)
        | v7_conlat_1(X4,X3)
        | ~ v9_conlat_1(X4,X3)
        | ~ l3_conlat_1(X4,X3) )
      & ( ~ v7_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
        | v3_conlat_1(X3)
        | ~ l2_conlat_1(X3)
        | v7_conlat_1(X4,X3)
        | ~ v9_conlat_1(X4,X3)
        | ~ l3_conlat_1(X4,X3) )
      & ( v9_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
        | v3_conlat_1(X3)
        | ~ l2_conlat_1(X3)
        | v7_conlat_1(X4,X3)
        | ~ v9_conlat_1(X4,X3)
        | ~ l3_conlat_1(X4,X3) )
      & ( l3_conlat_1(k9_conlat_2(X3,X4),k7_conlat_2(X3))
        | v3_conlat_1(X3)
        | ~ l2_conlat_1(X3)
        | v7_conlat_1(X4,X3)
        | ~ v9_conlat_1(X4,X3)
        | ~ l3_conlat_1(X4,X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k9_conlat_2])])])]) ).

fof(c_0_33,negated_conjecture,
    ( ~ v3_conlat_1(esk1_0)
    & v4_conlat_1(esk1_0)
    & l2_conlat_1(esk1_0)
    & v6_conlat_1(esk2_0,esk1_0)
    & ~ v7_conlat_1(esk2_0,esk1_0)
    & v9_conlat_1(esk2_0,esk1_0)
    & l3_conlat_1(esk2_0,esk1_0)
    & k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0 ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_30])])])])])]) ).

cnf(c_0_34,plain,
    ( k9_conlat_2(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = X2
    | v7_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
    | v3_conlat_1(X1)
    | ~ v9_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
    | ~ v6_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v4_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_13]),c_0_26]),c_0_14]) ).

cnf(c_0_35,plain,
    ( v7_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | v9_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2))
    | ~ l3_conlat_1(X1,X2)
    | ~ v9_conlat_1(X1,X2)
    | ~ l2_conlat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_36,plain,
    ( v7_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | ~ l3_conlat_1(X1,X2)
    | ~ v9_conlat_1(X1,X2)
    | ~ l2_conlat_1(X2)
    | ~ v7_conlat_1(k9_conlat_2(X2,X1),k7_conlat_2(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,plain,
    ( k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2
    | v7_conlat_1(X2,X1)
    | v3_conlat_1(X1)
    | ~ v9_conlat_1(X2,X1)
    | ~ v6_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v4_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_35]),c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    v9_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    v6_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    l3_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    v4_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    l2_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_44,negated_conjecture,
    ~ v7_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_45,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT345+4 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.12/0.32  % Computer : n005.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 : Thu Jun 30 10:49:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.88/25.94  eprover: CPU time limit exceeded, terminating
% 2.88/25.94  eprover: CPU time limit exceeded, terminating
% 2.90/27.09  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 2.90/27.09  # Preprocessing time       : 13.440 s
% 2.90/27.09  
% 2.90/27.09  # Failure: Out of unprocessed clauses!
% 2.90/27.09  # OLD status GaveUp
% 2.90/27.09  # Parsed axioms                        : 49825
% 2.90/27.09  # Removed by relevancy pruning/SinE    : 0
% 2.90/27.09  # Initial clauses                      : 149848
% 2.90/27.09  # Removed in clause preprocessing      : 10317
% 2.90/27.09  # Initial clauses in saturation        : 139531
% 2.90/27.09  # Processed clauses                    : 17
% 2.90/27.09  # ...of these trivial                  : 0
% 2.90/27.09  # ...subsumed                          : 3
% 2.90/27.09  # ...remaining for further processing  : 14
% 2.90/27.09  # Other redundant clauses eliminated   : 0
% 2.90/27.09  # Clauses deleted for lack of memory   : 139515
% 2.90/27.09  # Backward-subsumed                    : 0
% 2.90/27.09  # Backward-rewritten                   : 1
% 2.90/27.09  # Generated clauses                    : 0
% 2.90/27.09  # ...of the previous two non-trivial   : 1
% 2.90/27.09  # Contextual simplify-reflections      : 0
% 2.90/27.09  # Paramodulations                      : 0
% 2.90/27.09  # Factorizations                       : 0
% 2.90/27.09  # Equation resolutions                 : 0
% 2.90/27.09  # Current number of processed clauses  : 13
% 2.90/27.09  #    Positive orientable unit clauses  : 5
% 2.90/27.09  #    Positive unorientable unit clauses: 0
% 2.90/27.09  #    Negative unit clauses             : 8
% 2.90/27.09  #    Non-unit-clauses                  : 0
% 2.90/27.09  # Current number of unprocessed clauses: 0
% 2.90/27.09  # ...number of literals in the above   : 0
% 2.90/27.09  # Current number of archived formulas  : 0
% 2.90/27.09  # Current number of archived clauses   : 1
% 2.90/27.09  # Clause-clause subsumption calls (NU) : 0
% 2.90/27.09  # Rec. Clause-clause subsumption calls : 0
% 2.90/27.09  # Non-unit clause-clause subsumptions  : 0
% 2.90/27.09  # Unit Clause-clause subsumption calls : 10
% 2.90/27.09  # Rewrite failures with RHS unbound    : 0
% 2.90/27.09  # BW rewrite match attempts            : 1
% 2.90/27.09  # BW rewrite match successes           : 1
% 2.90/27.09  # Condensation attempts                : 0
% 2.90/27.09  # Condensation successes               : 0
% 2.90/27.09  # Termbank termtop insertions          : 16213207
% 2.90/27.09  
% 2.90/27.09  # -------------------------------------------------
% 2.90/27.09  # User time                : 20.858 s
% 2.90/27.09  # System time              : 0.420 s
% 2.90/27.09  # Total time               : 21.278 s
% 2.90/27.09  # Maximum resident set size: 616824 pages
% 2.90/27.09  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 2.90/27.09  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 2.90/27.09  # Preprocessing time       : 1.865 s
% 2.90/27.09  
% 2.90/27.09  # Proof found!
% 2.90/27.09  # SZS status Theorem
% 2.90/27.09  # SZS output start CNFRefutation
% See solution above
% 2.90/27.09  # Proof object total steps             : 47
% 2.90/27.09  # Proof object clause steps            : 32
% 2.90/27.09  # Proof object formula steps           : 15
% 2.90/27.09  # Proof object conjectures             : 12
% 2.90/27.09  # Proof object clause conjectures      : 9
% 2.90/27.09  # Proof object formula conjectures     : 3
% 2.90/27.09  # Proof object initial clauses used    : 20
% 2.90/27.09  # Proof object initial formulas used   : 7
% 2.90/27.09  # Proof object generating inferences   : 12
% 2.90/27.09  # Proof object simplifying inferences  : 26
% 2.90/27.09  # Training examples: 0 positive, 0 negative
% 2.90/27.09  # Parsed axioms                        : 49825
% 2.90/27.09  # Removed by relevancy pruning/SinE    : 49737
% 2.90/27.09  # Initial clauses                      : 224
% 2.90/27.09  # Removed in clause preprocessing      : 10
% 2.90/27.09  # Initial clauses in saturation        : 214
% 2.90/27.09  # Processed clauses                    : 2113
% 2.90/27.09  # ...of these trivial                  : 0
% 2.90/27.09  # ...subsumed                          : 869
% 2.90/27.09  # ...remaining for further processing  : 1244
% 2.90/27.09  # Other redundant clauses eliminated   : 22
% 2.90/27.09  # Clauses deleted for lack of memory   : 0
% 2.90/27.09  # Backward-subsumed                    : 15
% 2.90/27.09  # Backward-rewritten                   : 8
% 2.90/27.09  # Generated clauses                    : 6800
% 2.90/27.09  # ...of the previous two non-trivial   : 6686
% 2.90/27.09  # Contextual simplify-reflections      : 1999
% 2.90/27.09  # Paramodulations                      : 6735
% 2.90/27.09  # Factorizations                       : 0
% 2.90/27.09  # Equation resolutions                 : 37
% 2.90/27.09  # Current number of processed clauses  : 1213
% 2.90/27.09  #    Positive orientable unit clauses  : 25
% 2.90/27.09  #    Positive unorientable unit clauses: 0
% 2.90/27.09  #    Negative unit clauses             : 5
% 2.90/27.09  #    Non-unit-clauses                  : 1183
% 2.90/27.09  # Current number of unprocessed clauses: 4575
% 2.90/27.09  # ...number of literals in the above   : 36033
% 2.90/27.09  # Current number of archived formulas  : 0
% 2.90/27.09  # Current number of archived clauses   : 23
% 2.90/27.09  # Clause-clause subsumption calls (NU) : 449769
% 2.90/27.09  # Rec. Clause-clause subsumption calls : 49305
% 2.90/27.09  # Non-unit clause-clause subsumptions  : 2883
% 2.90/27.09  # Unit Clause-clause subsumption calls : 2769
% 2.90/27.09  # Rewrite failures with RHS unbound    : 0
% 2.90/27.09  # BW rewrite match attempts            : 4
% 2.90/27.09  # BW rewrite match successes           : 4
% 2.90/27.09  # Condensation attempts                : 0
% 2.90/27.09  # Condensation successes               : 0
% 2.90/27.09  # Termbank termtop insertions          : 1952843
% 2.90/27.09  
% 2.90/27.09  # -------------------------------------------------
% 2.90/27.09  # User time                : 2.338 s
% 2.90/27.09  # System time              : 0.098 s
% 2.90/27.09  # Total time               : 2.436 s
% 2.90/27.09  # Maximum resident set size: 135100 pages
% 2.92/27.83  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.83  eprover: No such file or directory
% 2.92/27.84  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.84  eprover: No such file or directory
% 2.92/27.84  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.84  eprover: No such file or directory
% 2.92/27.85  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.85  eprover: No such file or directory
% 2.92/27.85  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.85  eprover: No such file or directory
% 2.92/27.86  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.86  eprover: No such file or directory
% 2.92/27.87  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.87  eprover: No such file or directory
% 2.92/27.87  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.87  eprover: No such file or directory
% 2.92/27.88  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.88  eprover: No such file or directory
% 2.92/27.88  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.92/27.88  eprover: No such file or directory
% 2.92/45.74  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.74  eprover: No such file or directory
% 2.92/45.75  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.75  eprover: No such file or directory
% 2.92/45.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.76  eprover: No such file or directory
% 2.92/45.76  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.76  eprover: No such file or directory
% 2.92/45.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.77  eprover: No such file or directory
% 2.92/45.77  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.77  eprover: No such file or directory
% 2.92/45.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.78  eprover: No such file or directory
% 2.92/45.78  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.78  eprover: No such file or directory
% 2.92/45.79  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.79  eprover: No such file or directory
% 2.92/45.80  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/45.80  eprover: No such file or directory
% 2.92/47.07  eprover: CPU time limit exceeded, terminating
% 2.92/47.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.08  eprover: No such file or directory
% 2.92/47.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.09  eprover: No such file or directory
% 2.92/47.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.09  eprover: No such file or directory
% 2.92/47.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.09  eprover: No such file or directory
% 2.92/47.10  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.10  eprover: No such file or directory
% 2.92/47.10  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.10  eprover: No such file or directory
% 2.92/47.10  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.10  eprover: No such file or directory
% 2.92/47.11  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.11  eprover: No such file or directory
% 2.92/47.11  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.11  eprover: No such file or directory
% 2.92/47.11  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.92/47.11  eprover: No such file or directory
%------------------------------------------------------------------------------