TSTP Solution File: SEU315+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SEU315+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% 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 : Thu Aug 31 16:24:22 EDT 2023

% Result   : Theorem 1.77s 1.86s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   41
% Syntax   : Number of formulae    :   91 (  17 unt;  35 typ;   0 def)
%            Number of atoms       :  229 (  17 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  285 ( 112   ~; 117   |;  38   &)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  29   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   6 con; 0-3 aty)
%            Number of variables   :   82 (   2 sgn;  34   !;   6   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    topological_space: $i > $o ).

tff(decl_23,type,
    top_str: $i > $o ).

tff(decl_24,type,
    the_carrier: $i > $i ).

tff(decl_25,type,
    powerset: $i > $i ).

tff(decl_26,type,
    element: ( $i * $i ) > $o ).

tff(decl_27,type,
    in: ( $i * $i ) > $o ).

tff(decl_28,type,
    closed_subset: ( $i * $i ) > $o ).

tff(decl_29,type,
    subset: ( $i * $i ) > $o ).

tff(decl_30,type,
    v5_membered: $i > $o ).

tff(decl_31,type,
    v4_membered: $i > $o ).

tff(decl_32,type,
    v3_membered: $i > $o ).

tff(decl_33,type,
    v2_membered: $i > $o ).

tff(decl_34,type,
    v1_membered: $i > $o ).

tff(decl_35,type,
    empty: $i > $o ).

tff(decl_36,type,
    v1_xcmplx_0: $i > $o ).

tff(decl_37,type,
    v1_xreal_0: $i > $o ).

tff(decl_38,type,
    v1_rat_1: $i > $o ).

tff(decl_39,type,
    v1_int_1: $i > $o ).

tff(decl_40,type,
    natural: $i > $o ).

tff(decl_41,type,
    one_sorted_str: $i > $o ).

tff(decl_42,type,
    empty_set: $i ).

tff(decl_43,type,
    esk1_0: $i ).

tff(decl_44,type,
    esk2_0: $i ).

tff(decl_45,type,
    esk3_1: $i > $i ).

tff(decl_46,type,
    esk4_1: $i > $i ).

tff(decl_47,type,
    esk5_0: $i ).

tff(decl_48,type,
    esk6_1: $i > $i ).

tff(decl_49,type,
    esk7_1: $i > $i ).

tff(decl_50,type,
    esk8_1: $i > $i ).

tff(decl_51,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_52,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk11_1: $i > $i ).

tff(decl_54,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_55,type,
    esk13_0: $i ).

tff(decl_56,type,
    esk14_0: $i ).

fof(s3_subset_1__e1_40__pre_topc,conjecture,
    ! [X1,X2] :
      ( ( topological_space(X1)
        & top_str(X1)
        & element(X2,powerset(the_carrier(X1))) )
     => ? [X3] :
          ( element(X3,powerset(powerset(the_carrier(X1))))
          & ! [X4] :
              ( element(X4,powerset(the_carrier(X1)))
             => ( in(X4,X3)
              <=> ? [X5] :
                    ( element(X5,powerset(the_carrier(X1)))
                    & X5 = X4
                    & closed_subset(X5,X1)
                    & subset(X2,X4) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_subset_1__e1_40__pre_topc) ).

fof(s1_xboole_0__e1_40__pre_topc__1,axiom,
    ! [X1,X2] :
      ( ( topological_space(X1)
        & top_str(X1)
        & element(X2,powerset(the_carrier(X1))) )
     => ? [X3] :
        ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,powerset(the_carrier(X1)))
            & ? [X5] :
                ( element(X5,powerset(the_carrier(X1)))
                & X5 = X4
                & closed_subset(X5,X1)
                & subset(X2,X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).

fof(d2_subset_1,axiom,
    ! [X1,X2] :
      ( ( ~ empty(X1)
       => ( element(X2,X1)
        <=> in(X2,X1) ) )
      & ( empty(X1)
       => ( element(X2,X1)
        <=> empty(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).

fof(l71_subset_1,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( in(X3,X1)
         => in(X3,X2) )
     => element(X1,powerset(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(fc1_subset_1,axiom,
    ! [X1] : ~ empty(powerset(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( topological_space(X1)
          & top_str(X1)
          & element(X2,powerset(the_carrier(X1))) )
       => ? [X3] :
            ( element(X3,powerset(powerset(the_carrier(X1))))
            & ! [X4] :
                ( element(X4,powerset(the_carrier(X1)))
               => ( in(X4,X3)
                <=> ? [X5] :
                      ( element(X5,powerset(the_carrier(X1)))
                      & X5 = X4
                      & closed_subset(X5,X1)
                      & subset(X2,X4) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[s3_subset_1__e1_40__pre_topc]) ).

fof(c_0_7,plain,
    ! [X49,X50,X52,X54,X55] :
      ( ( in(X52,powerset(the_carrier(X49)))
        | ~ in(X52,esk9_2(X49,X50))
        | ~ topological_space(X49)
        | ~ top_str(X49)
        | ~ element(X50,powerset(the_carrier(X49))) )
      & ( element(esk10_3(X49,X50,X52),powerset(the_carrier(X49)))
        | ~ in(X52,esk9_2(X49,X50))
        | ~ topological_space(X49)
        | ~ top_str(X49)
        | ~ element(X50,powerset(the_carrier(X49))) )
      & ( esk10_3(X49,X50,X52) = X52
        | ~ in(X52,esk9_2(X49,X50))
        | ~ topological_space(X49)
        | ~ top_str(X49)
        | ~ element(X50,powerset(the_carrier(X49))) )
      & ( closed_subset(esk10_3(X49,X50,X52),X49)
        | ~ in(X52,esk9_2(X49,X50))
        | ~ topological_space(X49)
        | ~ top_str(X49)
        | ~ element(X50,powerset(the_carrier(X49))) )
      & ( subset(X50,X52)
        | ~ in(X52,esk9_2(X49,X50))
        | ~ topological_space(X49)
        | ~ top_str(X49)
        | ~ element(X50,powerset(the_carrier(X49))) )
      & ( ~ in(X54,powerset(the_carrier(X49)))
        | ~ element(X55,powerset(the_carrier(X49)))
        | X55 != X54
        | ~ closed_subset(X55,X49)
        | ~ subset(X50,X54)
        | in(X54,esk9_2(X49,X50))
        | ~ topological_space(X49)
        | ~ top_str(X49)
        | ~ element(X50,powerset(the_carrier(X49))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_xboole_0__e1_40__pre_topc__1])])])])])]) ).

fof(c_0_8,negated_conjecture,
    ! [X8,X10] :
      ( topological_space(esk1_0)
      & top_str(esk1_0)
      & element(esk2_0,powerset(the_carrier(esk1_0)))
      & ( element(esk3_1(X8),powerset(the_carrier(esk1_0)))
        | ~ element(X8,powerset(powerset(the_carrier(esk1_0)))) )
      & ( ~ in(esk3_1(X8),X8)
        | ~ element(X10,powerset(the_carrier(esk1_0)))
        | X10 != esk3_1(X8)
        | ~ closed_subset(X10,esk1_0)
        | ~ subset(esk2_0,esk3_1(X8))
        | ~ element(X8,powerset(powerset(the_carrier(esk1_0)))) )
      & ( element(esk4_1(X8),powerset(the_carrier(esk1_0)))
        | in(esk3_1(X8),X8)
        | ~ element(X8,powerset(powerset(the_carrier(esk1_0)))) )
      & ( esk4_1(X8) = esk3_1(X8)
        | in(esk3_1(X8),X8)
        | ~ element(X8,powerset(powerset(the_carrier(esk1_0)))) )
      & ( closed_subset(esk4_1(X8),esk1_0)
        | in(esk3_1(X8),X8)
        | ~ element(X8,powerset(powerset(the_carrier(esk1_0)))) )
      & ( subset(esk2_0,esk3_1(X8))
        | in(esk3_1(X8),X8)
        | ~ element(X8,powerset(powerset(the_carrier(esk1_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_6])])])])]) ).

fof(c_0_9,plain,
    ! [X1,X2] :
      ( ( ~ empty(X1)
       => ( element(X2,X1)
        <=> in(X2,X1) ) )
      & ( empty(X1)
       => ( element(X2,X1)
        <=> empty(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[d2_subset_1]) ).

cnf(c_0_10,plain,
    ( in(X1,powerset(the_carrier(X2)))
    | ~ in(X1,esk9_2(X2,X3))
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X3,powerset(the_carrier(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    element(esk2_0,powerset(the_carrier(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    top_str(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

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

fof(c_0_14,plain,
    ! [X60,X61] :
      ( ( in(esk12_2(X60,X61),X60)
        | element(X60,powerset(X61)) )
      & ( ~ in(esk12_2(X60,X61),X61)
        | element(X60,powerset(X61)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l71_subset_1])])])]) ).

fof(c_0_15,plain,
    ! [X56,X57] :
      ( ( ~ element(X57,X56)
        | in(X57,X56)
        | empty(X56) )
      & ( ~ in(X57,X56)
        | element(X57,X56)
        | empty(X56) )
      & ( ~ element(X57,X56)
        | empty(X57)
        | ~ empty(X56) )
      & ( ~ empty(X57)
        | element(X57,X56)
        | ~ empty(X56) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_16,plain,
    ! [X66,X67] :
      ( ~ in(X66,X67)
      | ~ empty(X67) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

cnf(c_0_17,negated_conjecture,
    ( in(X1,powerset(the_carrier(esk1_0)))
    | ~ in(X1,esk9_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_18,plain,
    ( in(esk12_2(X1,X2),X1)
    | element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( element(X1,X2)
    | empty(X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( ~ in(X1,X2)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    ( element(X1,powerset(X2))
    | ~ in(esk12_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( in(esk12_2(esk9_2(esk1_0,esk2_0),X1),powerset(the_carrier(esk1_0)))
    | element(esk9_2(esk1_0,esk2_0),powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_23,plain,
    ! [X1] : ~ empty(powerset(X1)),
    inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).

cnf(c_0_24,plain,
    ( in(X1,esk9_2(X2,X4))
    | ~ in(X1,powerset(the_carrier(X2)))
    | ~ element(X3,powerset(the_carrier(X2)))
    | X3 != X1
    | ~ closed_subset(X3,X2)
    | ~ subset(X4,X1)
    | ~ topological_space(X2)
    | ~ top_str(X2)
    | ~ element(X4,powerset(the_carrier(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_25,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(csr,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    ( subset(esk2_0,esk3_1(X1))
    | in(esk3_1(X1),X1)
    | ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,negated_conjecture,
    element(esk9_2(esk1_0,esk2_0),powerset(powerset(the_carrier(esk1_0)))),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    ( element(esk3_1(X1),powerset(the_carrier(esk1_0)))
    | ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_29,plain,
    ! [X48] : ~ empty(powerset(X48)),
    inference(variable_rename,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    ( in(X1,esk9_2(X2,X3))
    | ~ subset(X3,X1)
    | ~ closed_subset(X1,X2)
    | ~ in(X1,powerset(the_carrier(X2)))
    | ~ element(X3,powerset(the_carrier(X2)))
    | ~ top_str(X2)
    | ~ topological_space(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_24]),c_0_25]) ).

cnf(c_0_31,plain,
    ( subset(X1,X2)
    | ~ in(X2,esk9_2(X3,X1))
    | ~ topological_space(X3)
    | ~ top_str(X3)
    | ~ element(X1,powerset(the_carrier(X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_32,negated_conjecture,
    ( subset(esk2_0,esk3_1(esk9_2(esk1_0,esk2_0)))
    | in(esk3_1(esk9_2(esk1_0,esk2_0)),esk9_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_34,negated_conjecture,
    element(esk3_1(esk9_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
    inference(spm,[status(thm)],[c_0_28,c_0_27]) ).

cnf(c_0_35,plain,
    ~ empty(powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( esk4_1(X1) = esk3_1(X1)
    | in(esk3_1(X1),X1)
    | ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ element(X2,powerset(the_carrier(esk1_0)))
    | X2 != esk3_1(X1)
    | ~ closed_subset(X2,esk1_0)
    | ~ subset(esk2_0,esk3_1(X1))
    | ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_38,negated_conjecture,
    ( in(X1,esk9_2(esk1_0,esk2_0))
    | ~ subset(esk2_0,X1)
    | ~ closed_subset(X1,esk1_0)
    | ~ in(X1,powerset(the_carrier(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_39,negated_conjecture,
    subset(esk2_0,esk3_1(esk9_2(esk1_0,esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_40,negated_conjecture,
    in(esk3_1(esk9_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_41,plain,
    ( closed_subset(esk10_3(X1,X2,X3),X1)
    | ~ in(X3,esk9_2(X1,X2))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_42,negated_conjecture,
    ( esk4_1(esk9_2(esk1_0,esk2_0)) = esk3_1(esk9_2(esk1_0,esk2_0))
    | in(esk3_1(esk9_2(esk1_0,esk2_0)),esk9_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_27]) ).

cnf(c_0_43,plain,
    ( esk10_3(X1,X2,X3) = X3
    | ~ in(X3,esk9_2(X1,X2))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ subset(esk2_0,esk3_1(X1))
    | ~ closed_subset(esk3_1(X1),esk1_0)
    | ~ in(esk3_1(X1),X1)
    | ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_28]) ).

cnf(c_0_45,negated_conjecture,
    ( in(esk3_1(esk9_2(esk1_0,esk2_0)),esk9_2(esk1_0,esk2_0))
    | ~ closed_subset(esk3_1(esk9_2(esk1_0,esk2_0)),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_46,negated_conjecture,
    ( closed_subset(esk4_1(X1),esk1_0)
    | in(esk3_1(X1),X1)
    | ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_47,negated_conjecture,
    ( esk4_1(esk9_2(esk1_0,esk2_0)) = esk3_1(esk9_2(esk1_0,esk2_0))
    | closed_subset(esk10_3(esk1_0,esk2_0,esk3_1(esk9_2(esk1_0,esk2_0))),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_48,negated_conjecture,
    ( esk10_3(esk1_0,esk2_0,esk3_1(esk9_2(esk1_0,esk2_0))) = esk3_1(esk9_2(esk1_0,esk2_0))
    | esk4_1(esk9_2(esk1_0,esk2_0)) = esk3_1(esk9_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_49,negated_conjecture,
    ~ closed_subset(esk3_1(esk9_2(esk1_0,esk2_0)),esk1_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_27])]),c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( closed_subset(esk4_1(esk9_2(esk1_0,esk2_0)),esk1_0)
    | in(esk3_1(esk9_2(esk1_0,esk2_0)),esk9_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_27]) ).

cnf(c_0_51,negated_conjecture,
    esk4_1(esk9_2(esk1_0,esk2_0)) = esk3_1(esk9_2(esk1_0,esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    in(esk3_1(esk9_2(esk1_0,esk2_0)),esk9_2(esk1_0,esk2_0)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    closed_subset(esk10_3(esk1_0,esk2_0,esk3_1(esk9_2(esk1_0,esk2_0))),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_52]),c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_54,negated_conjecture,
    esk10_3(esk1_0,esk2_0,esk3_1(esk9_2(esk1_0,esk2_0))) = esk3_1(esk9_2(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_52]),c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_49]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU315+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Aug 23 14:39:34 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 1.77/1.86  % Version  : CSE_E---1.5
% 1.77/1.86  % Problem  : theBenchmark.p
% 1.77/1.86  % Proof found
% 1.77/1.86  % SZS status Theorem for theBenchmark.p
% 1.77/1.86  % SZS output start Proof
% See solution above
% 1.77/1.87  % Total time : 1.298000 s
% 1.77/1.87  % SZS output end Proof
% 1.77/1.87  % Total time : 1.301000 s
%------------------------------------------------------------------------------