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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : ALG231+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n027.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 04:08:20 PM UTC 2026

% Result   : Theorem 216.27s 160.59s
% Output   : CNFRefutation 216.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   52 (  22 unt;   0 def)
%            Number of atoms       :  176 (  29 equ)
%            Maximal formula atoms :   46 (   3 avg)
%            Number of connectives :  206 (  82   ~;  82   |;  19   &)
%                                         (   2 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-4 aty)
%            Number of variables   :  110 (   0 sgn  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t12_closure3,conjecture,
    ! [X1,X2] :
      ( m1_pboole(X2,X1)
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
         => ! [X4] :
              ( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
             => ( r1_tarski(X3,X4)
               => r2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,X4)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_closure3) ).

fof(redefinition_k3_closure3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( m1_pboole(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
        & m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2))) )
     => k3_closure3(X1,X2,X3,X4) = k2_xboole_0(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_closure3) ).

fof(t3_boole,axiom,
    ! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t3_boole) ).

fof(t40_xboole_1,axiom,
    ! [X1,X2] : k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t40_xboole_1) ).

fof(commutativity_k3_closure3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( m1_pboole(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
        & m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2))) )
     => k3_closure3(X1,X2,X3,X4) = k3_closure3(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_closure3) ).

fof(t39_xboole_1,axiom,
    ! [X1,X2] : k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t39_xboole_1) ).

fof(t37_xboole_1,axiom,
    ! [X1,X2] :
      ( k4_xboole_0(X1,X2) = k1_xboole_0
    <=> r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t37_xboole_1) ).

fof(dt_m4_pboole,axiom,
    ! [X1,X2] :
      ( m1_pboole(X2,X1)
     => ! [X3] :
          ( m4_pboole(X3,X1,X2)
         => m1_pboole(X3,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+80.ax',dt_m4_pboole) ).

fof(dt_k2_closure3,axiom,
    ! [X1,X2,X3] :
      ( ( m1_pboole(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) )
     => m4_pboole(k2_closure3(X1,X2,X3),X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_closure3) ).

fof(t28_pboole,axiom,
    ! [X1,X2] :
      ( m1_pboole(X2,X1)
     => ! [X3] :
          ( m1_pboole(X3,X1)
         => ! [X4] :
              ( m1_pboole(X4,X1)
             => ( r6_pboole(X1,X2,k2_pboole(X1,X3,X4))
              <=> ( r2_pboole(X1,X3,X2)
                  & r2_pboole(X1,X4,X2)
                  & ! [X5] :
                      ( m1_pboole(X5,X1)
                     => ( ( r2_pboole(X1,X3,X5)
                          & r2_pboole(X1,X4,X5) )
                       => r2_pboole(X1,X2,X5) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+80.ax',t28_pboole) ).

fof(t11_closure3,axiom,
    ! [X1,X2] :
      ( m1_pboole(X2,X1)
     => ! [X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
         => ! [X4] :
              ( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
             => r6_pboole(X1,k2_closure3(X1,X2,k3_closure3(X1,X2,X3,X4)),k2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,X4))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_closure3) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1,X2] :
        ( m1_pboole(X2,X1)
       => ! [X3] :
            ( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
           => ! [X4] :
                ( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
               => ( r1_tarski(X3,X4)
                 => r2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,X4)) ) ) ) ),
    inference(assume_negation,[status(cth)],[t12_closure3]) ).

fof(c_0_12,plain,
    ! [X1942,X1943,X1944,X1945] :
      ( ~ m1_pboole(X1943,X1942)
      | ~ m1_subset_1(X1944,k1_zfmisc_1(k1_closure2(X1942,X1943)))
      | ~ m1_subset_1(X1945,k1_zfmisc_1(k1_closure2(X1942,X1943)))
      | k3_closure3(X1942,X1943,X1944,X1945) = k2_xboole_0(X1944,X1945) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k3_closure3])]) ).

fof(c_0_13,negated_conjecture,
    ( m1_pboole(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0)))
    & m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0)))
    & r1_tarski(esk3_0,esk4_0)
    & ~ r2_pboole(esk1_0,k2_closure3(esk1_0,esk2_0,esk3_0),k2_closure3(esk1_0,esk2_0,esk4_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

fof(c_0_14,plain,
    ! [X2049] : k4_xboole_0(X2049,k1_xboole_0) = X2049,
    inference(variable_rename,[status(thm)],[t3_boole]) ).

fof(c_0_15,plain,
    ! [X2071,X2072] : k4_xboole_0(k2_xboole_0(X2071,X2072),X2072) = k4_xboole_0(X2071,X2072),
    inference(variable_rename,[status(thm)],[t40_xboole_1]) ).

fof(c_0_16,plain,
    ! [X1934,X1935,X1936,X1937] :
      ( ~ m1_pboole(X1935,X1934)
      | ~ m1_subset_1(X1936,k1_zfmisc_1(k1_closure2(X1934,X1935)))
      | ~ m1_subset_1(X1937,k1_zfmisc_1(k1_closure2(X1934,X1935)))
      | k3_closure3(X1934,X1935,X1936,X1937) = k3_closure3(X1934,X1935,X1937,X1936) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_closure3])]) ).

cnf(c_0_17,plain,
    ( k3_closure3(X2,X1,X3,X4) = k2_xboole_0(X3,X4)
    | ~ m1_pboole(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X2,X1)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    m1_pboole(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_21,plain,
    ! [X2069,X2070] : k2_xboole_0(X2069,k4_xboole_0(X2070,X2069)) = k2_xboole_0(X2069,X2070),
    inference(variable_rename,[status(thm)],[t39_xboole_1]) ).

fof(c_0_22,plain,
    ! [X2065,X2066] :
      ( ( k4_xboole_0(X2065,X2066) != k1_xboole_0
        | r1_tarski(X2065,X2066) )
      & ( ~ r1_tarski(X2065,X2066)
        | k4_xboole_0(X2065,X2066) = k1_xboole_0 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])]) ).

cnf(c_0_23,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,plain,
    ( k3_closure3(X2,X1,X3,X4) = k3_closure3(X2,X1,X4,X3)
    | ~ m1_pboole(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X2,X1)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,negated_conjecture,
    ( k3_closure3(esk1_0,esk2_0,X1,esk4_0) = k2_xboole_0(X1,esk4_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_27,negated_conjecture,
    ( k3_closure3(esk1_0,esk2_0,X1,esk3_0) = k2_xboole_0(X1,esk3_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_20]),c_0_19])]) ).

fof(c_0_28,plain,
    ! [X1628,X1629,X1630] :
      ( ~ m1_pboole(X1629,X1628)
      | ~ m4_pboole(X1630,X1628,X1629)
      | m1_pboole(X1630,X1628) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m4_pboole])])]) ).

fof(c_0_29,plain,
    ! [X1419,X1420,X1421] :
      ( ~ m1_pboole(X1420,X1419)
      | ~ m1_subset_1(X1421,k1_zfmisc_1(k1_closure2(X1419,X1420)))
      | m4_pboole(k2_closure3(X1419,X1420,X1421),X1419,X1420) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_closure3])]) ).

cnf(c_0_30,plain,
    k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    ( k4_xboole_0(X1,X2) = k1_xboole_0
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    k2_xboole_0(X1,k1_xboole_0) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_23]) ).

cnf(c_0_33,negated_conjecture,
    ( k3_closure3(esk1_0,esk2_0,X1,esk4_0) = k3_closure3(esk1_0,esk2_0,esk4_0,X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_19])]) ).

cnf(c_0_34,negated_conjecture,
    k3_closure3(esk1_0,esk2_0,esk3_0,esk4_0) = k2_xboole_0(esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_35,negated_conjecture,
    k3_closure3(esk1_0,esk2_0,esk4_0,esk3_0) = k2_xboole_0(esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_27,c_0_18]) ).

fof(c_0_36,plain,
    ! [X1861,X1862,X1863,X1864,X1865] :
      ( ( r2_pboole(X1861,X1863,X1862)
        | ~ r6_pboole(X1861,X1862,k2_pboole(X1861,X1863,X1864))
        | ~ m1_pboole(X1864,X1861)
        | ~ m1_pboole(X1863,X1861)
        | ~ m1_pboole(X1862,X1861) )
      & ( r2_pboole(X1861,X1864,X1862)
        | ~ r6_pboole(X1861,X1862,k2_pboole(X1861,X1863,X1864))
        | ~ m1_pboole(X1864,X1861)
        | ~ m1_pboole(X1863,X1861)
        | ~ m1_pboole(X1862,X1861) )
      & ( ~ m1_pboole(X1865,X1861)
        | ~ r2_pboole(X1861,X1863,X1865)
        | ~ r2_pboole(X1861,X1864,X1865)
        | r2_pboole(X1861,X1862,X1865)
        | ~ r6_pboole(X1861,X1862,k2_pboole(X1861,X1863,X1864))
        | ~ m1_pboole(X1864,X1861)
        | ~ m1_pboole(X1863,X1861)
        | ~ m1_pboole(X1862,X1861) )
      & ( m1_pboole(esk65_4(X1861,X1862,X1863,X1864),X1861)
        | ~ r2_pboole(X1861,X1863,X1862)
        | ~ r2_pboole(X1861,X1864,X1862)
        | r6_pboole(X1861,X1862,k2_pboole(X1861,X1863,X1864))
        | ~ m1_pboole(X1864,X1861)
        | ~ m1_pboole(X1863,X1861)
        | ~ m1_pboole(X1862,X1861) )
      & ( r2_pboole(X1861,X1863,esk65_4(X1861,X1862,X1863,X1864))
        | ~ r2_pboole(X1861,X1863,X1862)
        | ~ r2_pboole(X1861,X1864,X1862)
        | r6_pboole(X1861,X1862,k2_pboole(X1861,X1863,X1864))
        | ~ m1_pboole(X1864,X1861)
        | ~ m1_pboole(X1863,X1861)
        | ~ m1_pboole(X1862,X1861) )
      & ( r2_pboole(X1861,X1864,esk65_4(X1861,X1862,X1863,X1864))
        | ~ r2_pboole(X1861,X1863,X1862)
        | ~ r2_pboole(X1861,X1864,X1862)
        | r6_pboole(X1861,X1862,k2_pboole(X1861,X1863,X1864))
        | ~ m1_pboole(X1864,X1861)
        | ~ m1_pboole(X1863,X1861)
        | ~ m1_pboole(X1862,X1861) )
      & ( ~ r2_pboole(X1861,X1862,esk65_4(X1861,X1862,X1863,X1864))
        | ~ r2_pboole(X1861,X1863,X1862)
        | ~ r2_pboole(X1861,X1864,X1862)
        | r6_pboole(X1861,X1862,k2_pboole(X1861,X1863,X1864))
        | ~ m1_pboole(X1864,X1861)
        | ~ m1_pboole(X1863,X1861)
        | ~ m1_pboole(X1862,X1861) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_pboole])])])])]) ).

fof(c_0_37,plain,
    ! [X1428,X1429,X1430,X1431] :
      ( ~ m1_pboole(X1429,X1428)
      | ~ m1_subset_1(X1430,k1_zfmisc_1(k1_closure2(X1428,X1429)))
      | ~ m1_subset_1(X1431,k1_zfmisc_1(k1_closure2(X1428,X1429)))
      | r6_pboole(X1428,k2_closure3(X1428,X1429,k3_closure3(X1428,X1429,X1430,X1431)),k2_pboole(X1428,k2_closure3(X1428,X1429,X1430),k2_closure3(X1428,X1429,X1431))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_closure3])])]) ).

cnf(c_0_38,plain,
    ( m1_pboole(X3,X2)
    | ~ m1_pboole(X1,X2)
    | ~ m4_pboole(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,plain,
    ( m4_pboole(k2_closure3(X2,X1,X3),X2,X1)
    | ~ m1_pboole(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,plain,
    ( k2_xboole_0(X1,X2) = X1
    | ~ r1_tarski(X2,X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    k2_xboole_0(esk4_0,esk3_0) = k2_xboole_0(esk3_0,esk4_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_34]),c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    r1_tarski(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_43,plain,
    ( r2_pboole(X1,X2,X3)
    | ~ r6_pboole(X1,X3,k2_pboole(X1,X4,X2))
    | ~ m1_pboole(X2,X1)
    | ~ m1_pboole(X4,X1)
    | ~ m1_pboole(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_44,plain,
    ( r6_pboole(X2,k2_closure3(X2,X1,k3_closure3(X2,X1,X3,X4)),k2_pboole(X2,k2_closure3(X2,X1,X3),k2_closure3(X2,X1,X4)))
    | ~ m1_pboole(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X2,X1)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,plain,
    ( m1_pboole(k2_closure3(X1,X2,X3),X1)
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    k2_xboole_0(esk3_0,esk4_0) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_47,plain,
    ( r2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,k3_closure3(X1,X2,X4,X3)))
    | ~ m1_pboole(k2_closure3(X1,X2,k3_closure3(X1,X2,X4,X3)),X1)
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    k3_closure3(esk1_0,esk2_0,esk4_0,esk3_0) = esk4_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_41]),c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    m1_pboole(k2_closure3(esk1_0,esk2_0,esk4_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_18]),c_0_19])]) ).

cnf(c_0_50,negated_conjecture,
    ~ r2_pboole(esk1_0,k2_closure3(esk1_0,esk2_0,esk3_0),k2_closure3(esk1_0,esk2_0,esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_51,negated_conjecture,
    $false,
    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_47,c_0_48]),c_0_49]),c_0_19]),c_0_20]),c_0_18])]),c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG231+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n027.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Tue May  5 10:27:50 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 216.27/160.59  % Version  : CSE_E---1.7
% 216.27/160.59  % Problem  : theBenchmark.p
% 216.27/160.59  % SZS status Theorem for theBenchmark.p
% 216.27/160.59  % SZS output start CNFRefutation
% See solution above
% 216.80/161.07  % Total time : 142.893s
%------------------------------------------------------------------------------