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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : LAT302+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.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 : Tue May  5 04:38:00 PM UTC 2026

% Result   : Theorem 28.11s 18.79s
% Output   : CNFRefutation 28.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   53 (  14 unt;   0 def)
%            Number of atoms       :  273 (  16 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :  329 ( 109   ~; 109   |;  82   &)
%                                         (   6 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :   46 (   0 sgn  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t13_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v14_lattices(X1)
          & l3_lattices(X1) )
       => m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t13_filter_0) ).

fof(t26_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v13_lattices(X1)
       => m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_filter_2) ).

fof(t18_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
        & u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
        & u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',t18_lattice2) ).

fof(t78_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v13_lattices(X1)
        & l3_lattices(X1) )
     => k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',t78_lattice2) ).

fof(t63_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v13_lattices(X1)
      <=> v14_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',t63_lattice2) ).

fof(fc6_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1))
        & v4_lattices(k1_lattice2(X1))
        & v5_lattices(k1_lattice2(X1))
        & v6_lattices(k1_lattice2(X1))
        & v7_lattices(k1_lattice2(X1))
        & v8_lattices(k1_lattice2(X1))
        & v9_lattices(k1_lattice2(X1))
        & v10_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',fc6_lattice2) ).

fof(fc1_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',fc1_lattice2) ).

fof(dt_k1_lattice2,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(k1_lattice2(X1))
        & l3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',dt_k1_lattice2) ).

fof(redefinition_m1_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
        <=> m1_filter_0(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).

fof(t21_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
        <=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).

fof(c_0_10,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v14_lattices(X1)
          & l3_lattices(X1) )
       => m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
    inference(fof_simplification,[status(thm)],[t13_filter_0]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ( v13_lattices(X1)
         => m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_filter_2])]) ).

fof(c_0_12,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
        & u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
        & u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[t18_lattice2]) ).

fof(c_0_13,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v13_lattices(X1)
        & l3_lattices(X1) )
     => k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
    inference(fof_simplification,[status(thm)],[t78_lattice2]) ).

fof(c_0_14,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v13_lattices(X1)
      <=> v14_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[t63_lattice2]) ).

fof(c_0_15,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1))
        & v4_lattices(k1_lattice2(X1))
        & v5_lattices(k1_lattice2(X1))
        & v6_lattices(k1_lattice2(X1))
        & v7_lattices(k1_lattice2(X1))
        & v8_lattices(k1_lattice2(X1))
        & v9_lattices(k1_lattice2(X1))
        & v10_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).

fof(c_0_16,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).

fof(c_0_17,plain,
    ! [X6194] :
      ( v3_struct_0(X6194)
      | ~ v10_lattices(X6194)
      | ~ l3_lattices(X6194)
      | v3_struct_0(X6194)
      | ~ v10_lattices(X6194)
      | ~ v14_lattices(X6194)
      | ~ l3_lattices(X6194)
      | m1_filter_0(k6_domain_1(u1_struct_0(X6194),k6_lattices(X6194)),X6194) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).

fof(c_0_18,plain,
    ! [X7140] :
      ( ( v3_lattices(k1_lattice2(X7140))
        | ~ l3_lattices(X7140) )
      & ( l3_lattices(k1_lattice2(X7140))
        | ~ l3_lattices(X7140) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).

fof(c_0_19,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & v13_lattices(esk1_0)
    & ~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_20,plain,
    ! [X7082] :
      ( ( u1_struct_0(X7082) = u1_struct_0(k1_lattice2(X7082))
        | v3_struct_0(X7082)
        | ~ l3_lattices(X7082) )
      & ( u2_lattices(X7082) = u1_lattices(k1_lattice2(X7082))
        | v3_struct_0(X7082)
        | ~ l3_lattices(X7082) )
      & ( u1_lattices(X7082) = u2_lattices(k1_lattice2(X7082))
        | v3_struct_0(X7082)
        | ~ l3_lattices(X7082) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_21,plain,
    ! [X6241] :
      ( v3_struct_0(X6241)
      | ~ v10_lattices(X6241)
      | ~ v13_lattices(X6241)
      | ~ l3_lattices(X6241)
      | k5_lattices(X6241) = k6_lattices(k1_lattice2(X6241)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

fof(c_0_22,plain,
    ! [X6274] :
      ( ( ~ v13_lattices(X6274)
        | v14_lattices(k1_lattice2(X6274))
        | v3_struct_0(X6274)
        | ~ v10_lattices(X6274)
        | ~ l3_lattices(X6274) )
      & ( ~ v14_lattices(k1_lattice2(X6274))
        | v13_lattices(X6274)
        | v3_struct_0(X6274)
        | ~ v10_lattices(X6274)
        | ~ l3_lattices(X6274) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_23,plain,
    ! [X7122] :
      ( ( ~ v3_struct_0(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v3_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v4_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v5_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v6_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v7_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v8_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v9_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) )
      & ( v10_lattices(k1_lattice2(X7122))
        | v3_struct_0(X7122)
        | ~ v10_lattices(X7122)
        | ~ l3_lattices(X7122) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_24,plain,
    ! [X7121] :
      ( ( ~ v3_struct_0(k1_lattice2(X7121))
        | v3_struct_0(X7121)
        | ~ l3_lattices(X7121) )
      & ( v3_lattices(k1_lattice2(X7121))
        | v3_struct_0(X7121)
        | ~ l3_lattices(X7121) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

fof(c_0_25,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
        <=> m1_filter_0(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).

cnf(c_0_26,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X1)
    | m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_31,plain,
    ( v3_struct_0(X1)
    | k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,negated_conjecture,
    v13_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_33,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_34,plain,
    ( v14_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v13_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_35,plain,
    ( v10_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_36,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_37,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
        <=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[t21_filter_2]) ).

fof(c_0_38,plain,
    ! [X7107,X7108] :
      ( ( ~ m1_filter_2(X7108,X7107)
        | m1_filter_0(X7108,X7107)
        | v3_struct_0(X7107)
        | ~ v10_lattices(X7107)
        | ~ l3_lattices(X7107) )
      & ( ~ m1_filter_0(X7108,X7107)
        | m1_filter_2(X7108,X7107)
        | v3_struct_0(X7107)
        | ~ v10_lattices(X7107)
        | ~ l3_lattices(X7107) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).

cnf(c_0_39,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1) ),
    inference(cn,[status(thm)],[c_0_26]) ).

cnf(c_0_40,negated_conjecture,
    l3_lattices(k1_lattice2(esk1_0)),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_41,negated_conjecture,
    u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_28]),c_0_30]) ).

cnf(c_0_42,negated_conjecture,
    k6_lattices(k1_lattice2(esk1_0)) = k5_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_32]),c_0_33])]),c_0_30]) ).

cnf(c_0_43,negated_conjecture,
    v14_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_32]),c_0_33])]),c_0_30]) ).

cnf(c_0_44,negated_conjecture,
    v10_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_33])]),c_0_30]) ).

cnf(c_0_45,negated_conjecture,
    ~ v3_struct_0(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_30]) ).

fof(c_0_46,plain,
    ! [X6177,X6178] :
      ( ( ~ m2_filter_2(X6178,X6177)
        | m1_filter_2(X6178,k1_lattice2(X6177))
        | v3_struct_0(X6177)
        | ~ v10_lattices(X6177)
        | ~ l3_lattices(X6177) )
      & ( ~ m1_filter_2(X6178,k1_lattice2(X6177))
        | m2_filter_2(X6178,X6177)
        | v3_struct_0(X6177)
        | ~ v10_lattices(X6177)
        | ~ l3_lattices(X6177) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).

cnf(c_0_47,plain,
    ( m1_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ m1_filter_0(X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    m1_filter_0(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),k1_lattice2(esk1_0)),
    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(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]),c_0_45]) ).

cnf(c_0_49,plain,
    ( m2_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ m1_filter_2(X1,k1_lattice2(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    m1_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_44]),c_0_40])]),c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_52,negated_conjecture,
    $false,
    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_49,c_0_50]),c_0_33]),c_0_28])]),c_0_51]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT302+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33  % Computer : n004.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Mon May  4 21:08:02 EDT 2026
% 0.17/0.33  % CPUTime    : 
% 0.17/0.34  % start to proof: theBenchmark
% 28.11/18.79  % Version  : CSE_E---1.7
% 28.11/18.79  % Problem  : theBenchmark.p
% 28.11/18.79  % SZS status Theorem for theBenchmark.p
% 28.11/18.79  % SZS output start CNFRefutation
% See solution above
% 28.21/18.87  % Total time : 15.222s
%------------------------------------------------------------------------------