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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN551+3 : TPTP v9.2.1. Bugfixed v3.1.0.
% 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 : n014.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 05:39:37 PM UTC 2026

% Result   : Theorem 1.26s 1.73s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   73 (   6 unt;   0 def)
%            Number of atoms       :  243 ( 242 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  258 (  88   ~; 153   |;  11   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   55 (   0 sgn   8   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this_cute_thing,conjecture,
    ( ? [X1] :
        ( X1 = f(g(X1))
        & ! [X2] :
            ( X2 = f(g(X2))
           => X2 = X1 ) )
  <=> ? [X1] :
        ( X1 = g(f(X1))
        & ! [X2] :
            ( X2 = g(f(X2))
           => X2 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_cute_thing) ).

fof(c_0_1,negated_conjecture,
    ~ ( ? [X1] :
          ( X1 = f(g(X1))
          & ! [X2] :
              ( X2 = f(g(X2))
             => X2 = X1 ) )
    <=> ? [X1] :
          ( X1 = g(f(X1))
          & ! [X2] :
              ( X2 = g(f(X2))
             => X2 = X1 ) ) ),
    inference(assume_negation,[status(cth)],[prove_this_cute_thing]) ).

fof(c_0_2,negated_conjecture,
    ! [X7,X9,X12,X14] :
      ( ( esk2_1(X9) = g(f(esk2_1(X9)))
        | X9 != g(f(X9))
        | esk1_1(X7) = f(g(esk1_1(X7)))
        | X7 != f(g(X7)) )
      & ( esk2_1(X9) != X9
        | X9 != g(f(X9))
        | esk1_1(X7) = f(g(esk1_1(X7)))
        | X7 != f(g(X7)) )
      & ( esk2_1(X9) = g(f(esk2_1(X9)))
        | X9 != g(f(X9))
        | esk1_1(X7) != X7
        | X7 != f(g(X7)) )
      & ( esk2_1(X9) != X9
        | X9 != g(f(X9))
        | esk1_1(X7) != X7
        | X7 != f(g(X7)) )
      & ( esk4_0 = g(f(esk4_0))
        | esk3_0 = f(g(esk3_0)) )
      & ( X14 != g(f(X14))
        | X14 = esk4_0
        | esk3_0 = f(g(esk3_0)) )
      & ( esk4_0 = g(f(esk4_0))
        | X12 != f(g(X12))
        | X12 = esk3_0 )
      & ( X14 != g(f(X14))
        | X14 = esk4_0
        | X12 != f(g(X12))
        | X12 = esk3_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( esk2_1(X1) = g(f(esk2_1(X1)))
    | esk1_1(X2) = f(g(esk1_1(X2)))
    | X1 != g(f(X1))
    | X2 != f(g(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( esk4_0 = g(f(esk4_0))
    | esk3_0 = f(g(esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
    | g(f(esk2_1(X1))) = esk2_1(X1)
    | g(f(esk4_0)) = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    ( esk1_1(X2) = f(g(esk1_1(X2)))
    | esk2_1(X1) != X1
    | X1 != g(f(X1))
    | X2 != f(g(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( esk4_0 = g(f(esk4_0))
    | X1 = esk3_0
    | X1 != f(g(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ( g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
    | f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
    | g(f(esk4_0)) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
    | g(f(esk4_0)) = esk4_0
    | g(f(X1)) != X1
    | esk2_1(X1) != X1 ),
    inference(spm,[status(thm)],[c_0_6,c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
    | f(esk2_1(g(esk3_0))) = esk3_0
    | g(f(esk4_0)) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
    | g(f(esk4_0)) = esk4_0
    | esk2_1(g(esk3_0)) != g(esk3_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    ( esk2_1(X1) = g(f(esk2_1(X1)))
    | X1 != g(f(X1))
    | esk1_1(X2) != X2
    | X2 != f(g(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
    | g(f(esk4_0)) = esk4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_10]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( g(f(esk2_1(X1))) = esk2_1(X1)
    | g(f(esk4_0)) = esk4_0
    | g(f(X1)) != X1
    | esk1_1(esk3_0) != esk3_0 ),
    inference(spm,[status(thm)],[c_0_12,c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | esk1_1(esk3_0) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_7,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ( g(f(esk2_1(X1))) = esk2_1(X1)
    | g(f(esk4_0)) = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    ( g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
    | g(f(esk4_0)) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_16,c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    ( esk2_1(X1) != X1
    | X1 != g(f(X1))
    | esk1_1(X2) != X2
    | X2 != f(g(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    ( f(esk2_1(g(esk3_0))) = esk3_0
    | g(f(esk4_0)) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_7,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | g(f(X1)) != X1
    | esk1_1(esk3_0) != esk3_0
    | esk2_1(X1) != X1 ),
    inference(spm,[status(thm)],[c_0_18,c_0_4]) ).

cnf(c_0_21,negated_conjecture,
    ( esk2_1(g(esk3_0)) = g(esk3_0)
    | g(f(esk4_0)) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_17,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( g(f(esk4_0)) = esk4_0
    | g(f(g(esk3_0))) != g(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    g(f(esk4_0)) = esk4_0,
    inference(spm,[status(thm)],[c_0_22,c_0_4]) ).

cnf(c_0_24,negated_conjecture,
    ( X1 = esk4_0
    | X2 = esk3_0
    | X1 != g(f(X1))
    | X2 != f(g(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25,negated_conjecture,
    ( f(g(esk1_1(f(esk4_0)))) = esk1_1(f(esk4_0))
    | g(f(esk2_1(X1))) = esk2_1(X1)
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_3,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ( f(esk4_0) = esk3_0
    | X1 = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( f(g(esk1_1(f(esk4_0)))) = esk1_1(f(esk4_0))
    | g(f(esk2_1(esk4_0))) = esk2_1(esk4_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
    | g(esk1_1(f(esk4_0))) = esk4_0
    | f(esk4_0) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    ( g(f(esk2_1(X1))) = esk2_1(X1)
    | esk1_1(f(esk4_0)) != f(esk4_0)
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_12,c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
    | esk1_1(f(esk4_0)) = f(esk4_0)
    | f(esk4_0) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( f(g(esk1_1(f(esk4_0)))) = esk1_1(f(esk4_0))
    | g(f(X1)) != X1
    | esk2_1(X1) != X1 ),
    inference(spm,[status(thm)],[c_0_6,c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    ( f(esk4_0) = esk3_0
    | esk2_1(X1) = esk4_0
    | esk1_1(f(esk4_0)) != f(esk4_0)
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_26,c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    ( esk1_1(f(esk4_0)) = f(esk4_0)
    | esk2_1(esk4_0) = esk4_0
    | f(esk4_0) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ( f(g(esk1_1(f(esk4_0)))) = esk1_1(f(esk4_0))
    | esk2_1(esk4_0) != esk4_0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    ( esk2_1(esk4_0) = esk4_0
    | f(esk4_0) = esk3_0
    | esk2_1(X1) = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( g(esk1_1(f(esk4_0))) = esk4_0
    | f(esk4_0) = esk3_0
    | esk2_1(esk4_0) != esk4_0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( f(esk4_0) = esk3_0
    | esk2_1(esk4_0) = esk4_0 ),
    inference(spm,[status(thm)],[c_0_35,c_0_23]) ).

cnf(c_0_38,negated_conjecture,
    ( g(esk1_1(f(esk4_0))) = esk4_0
    | f(esk4_0) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    ( esk1_1(f(esk4_0)) != f(esk4_0)
    | g(f(X1)) != X1
    | esk2_1(X1) != X1 ),
    inference(spm,[status(thm)],[c_0_18,c_0_23]) ).

cnf(c_0_40,negated_conjecture,
    ( esk1_1(f(esk4_0)) = f(esk4_0)
    | f(esk4_0) = esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( f(esk4_0) = esk3_0
    | g(f(X1)) != X1
    | esk2_1(X1) != X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,negated_conjecture,
    f(esk4_0) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_37]),c_0_23])]) ).

cnf(c_0_43,negated_conjecture,
    ( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
    | f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_42]),c_0_42]) ).

cnf(c_0_44,negated_conjecture,
    ( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
    | esk1_1(esk3_0) = esk3_0
    | X1 = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_24,c_0_43]) ).

cnf(c_0_45,negated_conjecture,
    ( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
    | g(esk1_1(esk3_0)) = esk4_0
    | esk1_1(esk3_0) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_44,c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    ( g(esk1_1(esk3_0)) = esk4_0
    | f(esk2_1(esk4_0)) = esk3_0
    | esk1_1(esk3_0) = esk3_0
    | X1 = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_24,c_0_45]) ).

cnf(c_0_47,negated_conjecture,
    ( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
    | esk2_1(esk4_0) != esk4_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_42]),c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ( f(esk2_1(esk4_0)) = esk3_0
    | g(esk1_1(esk3_0)) = esk4_0
    | esk1_1(esk3_0) = esk3_0
    | esk2_1(esk4_0) != esk4_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_49,negated_conjecture,
    ( f(esk2_1(esk4_0)) = esk3_0
    | g(esk1_1(esk3_0)) = esk4_0
    | esk1_1(esk3_0) = esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_48]) ).

cnf(c_0_50,negated_conjecture,
    g(esk3_0) = esk4_0,
    inference(rw,[status(thm)],[c_0_23,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( g(esk1_1(esk3_0)) = esk4_0
    | esk1_1(esk3_0) = esk3_0
    | esk2_1(esk4_0) = esk4_0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_49]),c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    ( esk1_1(f(esk4_0)) = esk3_0
    | X1 = esk4_0
    | g(f(X1)) != X1
    | esk2_1(esk4_0) != esk4_0 ),
    inference(spm,[status(thm)],[c_0_24,c_0_34]) ).

cnf(c_0_53,negated_conjecture,
    ( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
    | esk2_1(esk4_0) = esk4_0
    | esk1_1(esk3_0) = esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_42])]) ).

cnf(c_0_54,negated_conjecture,
    ( esk1_1(esk3_0) = esk3_0
    | X1 = esk4_0
    | g(f(X1)) != X1
    | esk2_1(esk4_0) != esk4_0 ),
    inference(rw,[status(thm)],[c_0_52,c_0_42]) ).

cnf(c_0_55,negated_conjecture,
    ( f(esk2_1(esk4_0)) = esk3_0
    | esk1_1(esk3_0) = esk3_0
    | X1 = esk4_0
    | g(f(X1)) != X1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_53]),c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    ( f(esk2_1(esk4_0)) = esk3_0
    | esk2_1(esk4_0) = esk4_0
    | esk1_1(esk3_0) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_53]) ).

cnf(c_0_57,negated_conjecture,
    ( esk1_1(esk3_0) = esk3_0
    | esk2_1(esk4_0) = esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_50])]) ).

cnf(c_0_58,negated_conjecture,
    ( esk1_1(esk3_0) = esk3_0
    | X1 = esk4_0
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_57]) ).

cnf(c_0_59,negated_conjecture,
    ( f(esk2_1(X1)) = esk3_0
    | X2 = esk4_0
    | esk1_1(f(esk4_0)) != f(esk4_0)
    | g(f(X2)) != X2
    | g(f(X1)) != X1 ),
    inference(spm,[status(thm)],[c_0_24,c_0_29]) ).

cnf(c_0_60,negated_conjecture,
    ( g(esk1_1(esk3_0)) = esk4_0
    | esk1_1(esk3_0) = esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( f(esk2_1(X1)) = esk3_0
    | X2 = esk4_0
    | esk1_1(esk3_0) != esk3_0
    | g(f(X2)) != X2
    | g(f(X1)) != X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_42]),c_0_42]) ).

cnf(c_0_62,negated_conjecture,
    esk1_1(esk3_0) = esk3_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_42])]),c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    ( g(f(esk2_1(X1))) = esk2_1(X1)
    | esk1_1(esk3_0) != esk3_0
    | g(f(X1)) != X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_42]),c_0_42]) ).

cnf(c_0_64,negated_conjecture,
    ( f(esk2_1(X1)) = esk3_0
    | X2 = esk4_0
    | g(f(X2)) != X2
    | g(f(X1)) != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).

cnf(c_0_65,negated_conjecture,
    ( g(f(esk2_1(X1))) = esk2_1(X1)
    | g(f(X1)) != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_62])]) ).

cnf(c_0_66,negated_conjecture,
    ( f(esk2_1(X1)) = esk3_0
    | esk2_1(X2) = esk4_0
    | g(f(X1)) != X1
    | g(f(X2)) != X2 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_67,negated_conjecture,
    ( f(esk2_1(esk4_0)) = esk3_0
    | esk2_1(X1) = esk4_0
    | g(f(X1)) != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_42]),c_0_50])]) ).

cnf(c_0_68,negated_conjecture,
    ( esk1_1(esk3_0) != esk3_0
    | g(f(X1)) != X1
    | esk2_1(X1) != X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_42]),c_0_42]) ).

cnf(c_0_69,negated_conjecture,
    ( f(esk2_1(esk4_0)) = esk3_0
    | esk2_1(esk4_0) = esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_42]),c_0_50])]) ).

cnf(c_0_70,negated_conjecture,
    ( g(f(X1)) != X1
    | esk2_1(X1) != X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_62])]) ).

cnf(c_0_71,negated_conjecture,
    esk2_1(esk4_0) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_69]),c_0_50]),c_0_42]),c_0_50])]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_42]),c_0_50])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN551+3 : TPTP v9.2.1. Bugfixed v3.1.0.
% 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
% 0.16/0.33  % Computer : n014.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
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 08:39:51 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 1.26/1.73  % Version  : CSE_E---1.7
% 1.26/1.73  % Problem  : theBenchmark.p
% 1.26/1.73  % SZS status Theorem for theBenchmark.p
% 1.26/1.73  % SZS output start CNFRefutation
% See solution above
% 1.26/1.73  % Total time : 1.369s
%------------------------------------------------------------------------------