TSTP Solution File: LAT345+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT345+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n007.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 04:47:31 EDT 2022

% Result   : Theorem 1.20s 93.38s
% Output   : CNFRefutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   51 (  18 unt;   0 def)
%            Number of atoms       :  239 (  49 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  304 ( 116   ~; 133   |;  43   &)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   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   :   51 (   0 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t20_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k9_conlat_2) ).

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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k9_conlat_2) ).

fof(c_0_6,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]) ).

fof(c_0_7,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_8,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_6])])])])])]) ).

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(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_11,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])])])])])])]) ).

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_7]) ).

cnf(c_0_13,negated_conjecture,
    v4_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    l2_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,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_17,plain,
    ( v7_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | v6_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_10]) ).

cnf(c_0_18,negated_conjecture,
    v9_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_19,negated_conjecture,
    l3_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_20,negated_conjecture,
    ~ v7_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,plain,
    ( v7_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | l3_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_10]) ).

fof(c_0_22,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_23,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_11]) ).

cnf(c_0_24,negated_conjecture,
    k7_conlat_2(k7_conlat_2(esk1_0)) = esk1_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    l2_conlat_1(k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_15]) ).

cnf(c_0_26,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_11]) ).

cnf(c_0_27,negated_conjecture,
    v6_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_14])]),c_0_20]),c_0_15]) ).

cnf(c_0_28,negated_conjecture,
    l3_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_19]),c_0_14])]),c_0_20]),c_0_15]) ).

cnf(c_0_29,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_22]) ).

cnf(c_0_30,negated_conjecture,
    ( X1 = k8_conlat_2(k7_conlat_2(esk1_0),X2)
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | u4_conlat_1(esk1_0,X1) != u5_conlat_1(k7_conlat_2(esk1_0),X2)
    | u5_conlat_1(esk1_0,X1) != u4_conlat_1(k7_conlat_2(esk1_0),X2)
    | ~ v6_conlat_1(X1,esk1_0)
    | ~ l3_conlat_1(X2,k7_conlat_2(esk1_0))
    | ~ l3_conlat_1(X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_31,negated_conjecture,
    ( u4_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,X1)
    | k8_conlat_2(esk1_0,X1) != k9_conlat_2(esk1_0,esk2_0)
    | ~ l3_conlat_1(X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_14])]),c_0_15]) ).

cnf(c_0_32,negated_conjecture,
    k8_conlat_2(esk1_0,esk2_0) = k9_conlat_2(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_19]),c_0_14])]),c_0_20]),c_0_15]) ).

cnf(c_0_33,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_11]) ).

cnf(c_0_34,negated_conjecture,
    ( X1 = k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | u4_conlat_1(esk1_0,X1) != u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | u5_conlat_1(esk1_0,X1) != u4_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | ~ v6_conlat_1(X1,esk1_0)
    | ~ l3_conlat_1(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    u4_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_19]),c_0_32])]) ).

cnf(c_0_36,negated_conjecture,
    ( u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,X1)
    | k8_conlat_2(esk1_0,X1) != k9_conlat_2(esk1_0,esk2_0)
    | ~ l3_conlat_1(X1,esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_28]),c_0_14])]),c_0_15]) ).

cnf(c_0_37,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_10]) ).

cnf(c_0_38,negated_conjecture,
    ( X1 = k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | u4_conlat_1(esk1_0,X1) != u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | u5_conlat_1(esk1_0,X1) != u5_conlat_1(esk1_0,esk2_0)
    | ~ v6_conlat_1(X1,esk1_0)
    | ~ l3_conlat_1(X1,esk1_0) ),
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_19]),c_0_32])]) ).

cnf(c_0_40,negated_conjecture,
    v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_18]),c_0_19]),c_0_14])]),c_0_20]),c_0_15]) ).

cnf(c_0_41,negated_conjecture,
    ( X1 = k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | u4_conlat_1(esk1_0,X1) != u4_conlat_1(esk1_0,esk2_0)
    | u5_conlat_1(esk1_0,X1) != u5_conlat_1(esk1_0,esk2_0)
    | ~ v6_conlat_1(X1,esk1_0)
    | ~ l3_conlat_1(X1,esk1_0) ),
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    v6_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_43,negated_conjecture,
    ( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_40]),c_0_28])]),c_0_25])]) ).

cnf(c_0_44,negated_conjecture,
    ( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = esk2_0
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_19])]) ).

cnf(c_0_45,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_8]) ).

cnf(c_0_46,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_10]) ).

cnf(c_0_47,negated_conjecture,
    ( v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_48,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_49,negated_conjecture,
    v3_conlat_1(k7_conlat_2(esk1_0)),
    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(spm,[status(thm)],[c_0_46,c_0_47]),c_0_18]),c_0_19]),c_0_14])]),c_0_20]),c_0_15]) ).

cnf(c_0_50,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_14])]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT345+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 29 13:31:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.71/23.71  eprover: CPU time limit exceeded, terminating
% 0.71/23.72  eprover: CPU time limit exceeded, terminating
% 0.71/23.72  eprover: CPU time limit exceeded, terminating
% 0.71/23.74  eprover: CPU time limit exceeded, terminating
% 0.88/46.73  eprover: CPU time limit exceeded, terminating
% 0.88/46.74  eprover: CPU time limit exceeded, terminating
% 0.88/46.75  eprover: CPU time limit exceeded, terminating
% 0.88/46.93  eprover: CPU time limit exceeded, terminating
% 1.06/69.74  eprover: CPU time limit exceeded, terminating
% 1.06/69.77  eprover: CPU time limit exceeded, terminating
% 1.06/69.78  eprover: CPU time limit exceeded, terminating
% 1.06/69.96  eprover: CPU time limit exceeded, terminating
% 1.20/92.81  eprover: CPU time limit exceeded, terminating
% 1.20/92.82  eprover: CPU time limit exceeded, terminating
% 1.20/92.85  eprover: CPU time limit exceeded, terminating
% 1.20/92.97  eprover: CPU time limit exceeded, terminating
% 1.20/93.38  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.20/93.38  
% 1.20/93.38  # Failure: Resource limit exceeded (time)
% 1.20/93.38  # OLD status Res
% 1.20/93.38  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.20/93.38  # Preprocessing time       : 0.202 s
% 1.20/93.38  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.20/93.38  
% 1.20/93.38  # Failure: Resource limit exceeded (time)
% 1.20/93.38  # OLD status Res
% 1.20/93.38  # Preprocessing time       : 1.086 s
% 1.20/93.38  # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.20/93.38  
% 1.20/93.38  # Failure: Resource limit exceeded (time)
% 1.20/93.38  # OLD status Res
% 1.20/93.38  # Preprocessing time       : 1.397 s
% 1.20/93.38  # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.20/93.38  
% 1.20/93.38  # Failure: Resource limit exceeded (time)
% 1.20/93.38  # OLD status Res
% 1.20/93.38  # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.20/93.38  # Preprocessing time       : 0.205 s
% 1.20/93.38  # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.20/93.38  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.20/93.38  # Preprocessing time       : 0.254 s
% 1.20/93.38  
% 1.20/93.38  # Proof found!
% 1.20/93.38  # SZS status Theorem
% 1.20/93.38  # SZS output start CNFRefutation
% See solution above
% 1.20/93.38  # Proof object total steps             : 51
% 1.20/93.38  # Proof object clause steps            : 38
% 1.20/93.38  # Proof object formula steps           : 13
% 1.20/93.38  # Proof object conjectures             : 30
% 1.20/93.38  # Proof object clause conjectures      : 27
% 1.20/93.38  # Proof object formula conjectures     : 3
% 1.20/93.38  # Proof object initial clauses used    : 19
% 1.20/93.38  # Proof object initial formulas used   : 6
% 1.20/93.38  # Proof object generating inferences   : 17
% 1.20/93.38  # Proof object simplifying inferences  : 56
% 1.20/93.38  # Training examples: 0 positive, 0 negative
% 1.20/93.38  # Parsed axioms                        : 5497
% 1.20/93.38  # Removed by relevancy pruning/SinE    : 4996
% 1.20/93.38  # Initial clauses                      : 1038
% 1.20/93.38  # Removed in clause preprocessing      : 25
% 1.20/93.38  # Initial clauses in saturation        : 1013
% 1.20/93.38  # Processed clauses                    : 1355
% 1.20/93.38  # ...of these trivial                  : 37
% 1.20/93.38  # ...subsumed                          : 114
% 1.20/93.38  # ...remaining for further processing  : 1204
% 1.20/93.38  # Other redundant clauses eliminated   : 49
% 1.20/93.38  # Clauses deleted for lack of memory   : 0
% 1.20/93.38  # Backward-subsumed                    : 23
% 1.20/93.38  # Backward-rewritten                   : 46
% 1.20/93.38  # Generated clauses                    : 12088
% 1.20/93.38  # ...of the previous two non-trivial   : 11235
% 1.20/93.38  # Contextual simplify-reflections      : 0
% 1.20/93.38  # Paramodulations                      : 11961
% 1.20/93.38  # Factorizations                       : 22
% 1.20/93.38  # Equation resolutions                 : 97
% 1.20/93.38  # Current number of processed clauses  : 1125
% 1.20/93.38  #    Positive orientable unit clauses  : 244
% 1.20/93.38  #    Positive unorientable unit clauses: 4
% 1.20/93.38  #    Negative unit clauses             : 17
% 1.20/93.38  #    Non-unit-clauses                  : 860
% 1.20/93.38  # Current number of unprocessed clauses: 10043
% 1.20/93.38  # ...number of literals in the above   : 40591
% 1.20/93.38  # Current number of archived formulas  : 0
% 1.20/93.38  # Current number of archived clauses   : 69
% 1.20/93.38  # Clause-clause subsumption calls (NU) : 55284
% 1.20/93.38  # Rec. Clause-clause subsumption calls : 12838
% 1.20/93.38  # Non-unit clause-clause subsumptions  : 96
% 1.20/93.38  # Unit Clause-clause subsumption calls : 22368
% 1.20/93.38  # Rewrite failures with RHS unbound    : 12
% 1.20/93.38  # BW rewrite match attempts            : 154
% 1.20/93.38  # BW rewrite match successes           : 45
% 1.20/93.38  # Condensation attempts                : 0
% 1.20/93.38  # Condensation successes               : 0
% 1.20/93.38  # Termbank termtop insertions          : 374801
% 1.20/93.38  
% 1.20/93.38  # -------------------------------------------------
% 1.20/93.38  # User time                : 0.470 s
% 1.20/93.38  # System time              : 0.026 s
% 1.20/93.38  # Total time               : 0.496 s
% 1.20/93.38  # Maximum resident set size: 25852 pages
% 1.20/115.85  eprover: CPU time limit exceeded, terminating
% 1.20/115.86  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.86  eprover: No such file or directory
% 1.20/115.87  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.87  eprover: No such file or directory
% 1.20/115.88  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.88  eprover: No such file or directory
% 1.20/115.88  eprover: CPU time limit exceeded, terminating
% 1.20/115.88  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.88  eprover: No such file or directory
% 1.20/115.89  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.89  eprover: No such file or directory
% 1.20/115.89  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.89  eprover: No such file or directory
% 1.20/115.90  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/115.90  eprover: No such file or directory
% 1.20/115.90  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.90  eprover: No such file or directory
% 1.20/115.90  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/115.90  eprover: No such file or directory
% 1.20/115.90  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/115.90  eprover: No such file or directory
% 1.20/115.91  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/115.91  eprover: No such file or directory
% 1.20/115.91  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/115.91  eprover: No such file or directory
% 1.20/115.91  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/115.91  eprover: No such file or directory
% 1.20/115.92  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.20/115.92  eprover: No such file or directory
% 1.20/115.98  eprover: CPU time limit exceeded, terminating
% 1.20/115.99  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/115.99  eprover: No such file or directory
% 1.20/116.00  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/116.00  eprover: No such file or directory
% 1.20/116.00  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/116.00  eprover: No such file or directory
% 1.20/116.00  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/116.00  eprover: No such file or directory
% 1.20/116.01  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/116.01  eprover: No such file or directory
% 1.20/116.01  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.20/116.01  eprover: No such file or directory
%------------------------------------------------------------------------------