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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SEU172+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n019.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 05:10:56 PM UTC 2026

% Result   : Theorem 0.29s 1.62s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 47)

% Comments : 
%------------------------------------------------------------------------------
fof(d4_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = set_difference(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,X1)
            & ~ in(X4,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(antisymmetry_r2_hidden,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(t54_subset_1,conjecture,
    ! [X1,X2,X3] :
      ( element(X3,powerset(X1))
     => ~ ( in(X2,subset_complement(X1,X3))
          & in(X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).

fof(rc1_subset_1,axiom,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).

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

fof(rc2_xboole_0,axiom,
    ? [X1] : ~ empty(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).

fof(dt_k3_subset_1,axiom,
    ! [X1,X2] :
      ( element(X2,powerset(X1))
     => element(subset_complement(X1,X2),powerset(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).

fof(involutiveness_k3_subset_1,axiom,
    ! [X1,X2] :
      ( element(X2,powerset(X1))
     => subset_complement(X1,subset_complement(X1,X2)) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).

fof(d5_subset_1,axiom,
    ! [X1,X2] :
      ( element(X2,powerset(X1))
     => subset_complement(X1,X2) = set_difference(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).

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

fof(rc2_subset_1,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(t8_boole,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

fof(t3_boole,axiom,
    ! [X1] : set_difference(X1,empty_set) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).

fof(t4_boole,axiom,
    ! [X1] : set_difference(empty_set,X1) = empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).

fof(t6_boole,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(rc1_xboole_0,axiom,
    ? [X1] : empty(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

fof(fc1_xboole_0,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(i_0_18,plain,
    ! [X1,X2,X3] :
      ( X3 = set_difference(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,X1)
            & ~ in(X4,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).

fof(i_0_19,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).

fof(i_0_20,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( element(X3,powerset(X1))
       => ~ ( in(X2,subset_complement(X1,X3))
            & in(X2,X3) ) ),
    inference(assume_negation,[status(cth)],[t54_subset_1]) ).

fof(i_0_21,plain,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2) ) ),
    inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).

fof(i_0_22,plain,
    ! [X1] : ~ empty(powerset(X1)),
    inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).

fof(i_0_23,plain,
    ? [X1] : ~ empty(X1),
    inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).

fof(i_0_24,plain,
    ! [X63,X64,X65,X66,X67,X68,X69,X70] :
      ( ( in(X66,X63)
        | ~ in(X66,X65)
        | X65 != set_difference(X63,X64) )
      & ( ~ in(X66,X64)
        | ~ in(X66,X65)
        | X65 != set_difference(X63,X64) )
      & ( ~ in(X67,X63)
        | in(X67,X64)
        | in(X67,X65)
        | X65 != set_difference(X63,X64) )
      & ( ~ in(esk9_3(X68,X69,X70),X70)
        | ~ in(esk9_3(X68,X69,X70),X68)
        | in(esk9_3(X68,X69,X70),X69)
        | X70 = set_difference(X68,X69) )
      & ( in(esk9_3(X68,X69,X70),X68)
        | in(esk9_3(X68,X69,X70),X70)
        | X70 = set_difference(X68,X69) )
      & ( ~ in(esk9_3(X68,X69,X70),X69)
        | in(esk9_3(X68,X69,X70),X70)
        | X70 = set_difference(X68,X69) ) ),
    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)],[i_0_18])])])])])]) ).

fof(i_0_25,plain,
    ! [X53,X54] :
      ( ~ element(X54,powerset(X53))
      | element(subset_complement(X53,X54),powerset(X53)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).

fof(i_0_26,plain,
    ! [X47,X48] :
      ( ~ element(X48,powerset(X47))
      | subset_complement(X47,subset_complement(X47,X48)) = X48 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).

fof(i_0_27,plain,
    ! [X58,X59] :
      ( ~ element(X59,powerset(X58))
      | subset_complement(X58,X59) = set_difference(X58,X59) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_subset_1])]) ).

fof(i_0_28,plain,
    ! [X49,X50] :
      ( ~ in(X49,X50)
      | ~ in(X50,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_19])]) ).

fof(i_0_29,negated_conjecture,
    ( element(esk8_0,powerset(esk6_0))
    & in(esk7_0,subset_complement(esk6_0,esk8_0))
    & in(esk7_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_20])])]) ).

fof(i_0_30,plain,
    ! [X38] :
      ( ( element(esk1_1(X38),powerset(X38))
        | empty(X38) )
      & ( ~ empty(esk1_1(X38))
        | empty(X38) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_21])])])]) ).

fof(i_0_31,plain,
    ! [X56,X57] :
      ( ~ in(X56,X57)
      | ~ empty(X57) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

fof(i_0_32,plain,
    ! [X40] :
      ( element(esk2_1(X40),powerset(X40))
      & empty(esk2_1(X40)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).

fof(i_0_33,plain,
    ! [X51] : element(esk5_1(X51),X51),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

fof(i_0_34,plain,
    ! [X55] : ~ empty(powerset(X55)),
    inference(variable_rename,[status(thm)],[i_0_22]) ).

fof(i_0_35,plain,
    ! [X45,X46] :
      ( ~ empty(X45)
      | X45 = X46
      | ~ empty(X46) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).

fof(i_0_36,plain,
    ! [X36] : set_difference(X36,empty_set) = X36,
    inference(variable_rename,[status(thm)],[t3_boole]) ).

fof(i_0_37,plain,
    ! [X37] : set_difference(empty_set,X37) = empty_set,
    inference(variable_rename,[status(thm)],[t4_boole]) ).

fof(i_0_38,plain,
    ! [X44] :
      ( ~ empty(X44)
      | X44 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

fof(i_0_39,plain,
    ~ empty(esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_23])]) ).

fof(i_0_40,plain,
    empty(esk3_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).

cnf(i_0_41,plain,
    ( in(esk9_3(X1,X2,X3),X2)
    | X3 = set_difference(X1,X2)
    | ~ in(esk9_3(X1,X2,X3),X3)
    | ~ in(esk9_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_42,plain,
    ( in(esk9_3(X1,X2,X3),X3)
    | X3 = set_difference(X1,X2)
    | ~ in(esk9_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_43,plain,
    ( in(esk9_3(X1,X2,X3),X1)
    | in(esk9_3(X1,X2,X3),X3)
    | X3 = set_difference(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_44,plain,
    ( element(subset_complement(X2,X1),powerset(X2))
    | ~ element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_45,plain,
    ( in(X1,X3)
    | in(X1,X4)
    | ~ in(X1,X2)
    | X4 != set_difference(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_46,plain,
    ( subset_complement(X2,subset_complement(X2,X1)) = X1
    | ~ element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_26]),
    [final] ).

cnf(i_0_47,plain,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | X3 != set_difference(X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_48,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | X3 != set_difference(X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_49,plain,
    ( subset_complement(X2,X1) = set_difference(X2,X1)
    | ~ element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_50,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_51,negated_conjecture,
    in(esk7_0,subset_complement(esk6_0,esk8_0)),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_52,plain,
    ( element(esk1_1(X1),powerset(X1))
    | empty(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_30]),
    [final] ).

cnf(i_0_53,plain,
    ( ~ in(X1,X2)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_54,plain,
    element(esk2_1(X1),powerset(X1)),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_55,plain,
    ( empty(X1)
    | ~ empty(esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_30]),
    [final] ).

cnf(i_0_56,plain,
    element(esk5_1(X1),X1),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_57,plain,
    ~ empty(powerset(X1)),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_58,plain,
    ( X1 = X2
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_59,negated_conjecture,
    element(esk8_0,powerset(esk6_0)),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_60,plain,
    set_difference(X1,empty_set) = X1,
    inference(split_conjunct,[status(thm)],[i_0_36]),
    [final] ).

cnf(i_0_61,plain,
    set_difference(empty_set,X1) = empty_set,
    inference(split_conjunct,[status(thm)],[i_0_37]),
    [final] ).

cnf(i_0_62,negated_conjecture,
    in(esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_63,plain,
    empty(esk2_1(X1)),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_64,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_38]),
    [final] ).

cnf(i_0_65,plain,
    ~ empty(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_66,plain,
    empty(esk3_0),
    inference(split_conjunct,[status(thm)],[i_0_40]),
    [final] ).

cnf(i_0_67,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
    [final] ).

cnf(i_0_68,axiom,
    X1 = X1 ).

cnf(i_0_69,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_70,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_71,axiom,
    ( X1 != X2
    | set_difference(X1,X3) = set_difference(X2,X3) ) ).

cnf(i_0_72,axiom,
    ( X1 != X2
    | set_difference(X3,X1) = set_difference(X3,X2) ) ).

cnf(i_0_73,axiom,
    ( X1 != X2
    | subset_complement(X1,X3) = subset_complement(X2,X3) ) ).

cnf(i_0_74,axiom,
    ( X1 != X2
    | subset_complement(X3,X1) = subset_complement(X3,X2) ) ).

cnf(i_0_75,axiom,
    ( X1 != X2
    | ~ in(X1,X3)
    | in(X2,X3) ) ).

cnf(i_0_76,axiom,
    ( X1 != X2
    | ~ in(X3,X1)
    | in(X3,X2) ) ).

cnf(i_0_77,axiom,
    ( X1 != X2
    | ~ element(X1,X3)
    | element(X2,X3) ) ).

cnf(i_0_78,axiom,
    ( X1 != X2
    | ~ element(X3,X1)
    | element(X3,X2) ) ).

cnf(i_0_79,axiom,
    ( X1 != X2
    | ~ empty(X1)
    | empty(X2) ) ).

cnf(i_0_68_001,axiom,
    X1 = X1 ).

cnf(i_0_69_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_70_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_71_004,axiom,
    ( X1 != X2
    | set_difference(X1,X3) = set_difference(X2,X3) ) ).

cnf(i_0_72_005,axiom,
    ( X1 != X2
    | set_difference(X3,X1) = set_difference(X3,X2) ) ).

cnf(i_0_73_006,axiom,
    ( X1 != X2
    | subset_complement(X1,X3) = subset_complement(X2,X3) ) ).

cnf(i_0_74_007,axiom,
    ( X1 != X2
    | subset_complement(X3,X1) = subset_complement(X3,X2) ) ).

cnf(i_0_75_008,axiom,
    ( X1 != X2
    | ~ in(X1,X3)
    | in(X2,X3) ) ).

cnf(i_0_76_009,axiom,
    ( X1 != X2
    | ~ in(X3,X1)
    | in(X3,X2) ) ).

cnf(i_0_77_010,axiom,
    ( X1 != X2
    | ~ element(X1,X3)
    | element(X2,X3) ) ).

cnf(i_0_78_011,axiom,
    ( X1 != X2
    | ~ element(X3,X1)
    | element(X3,X2) ) ).

cnf(i_0_79_012,axiom,
    ( X1 != X2
    | ~ empty(X1)
    | empty(X2) ) ).

cnf(i_0_80,plain,
    ( in(X1,X2)
    | in(X1,set_difference(X3,X2))
    | ~ in(X1,X3) ),
    inference(equality_inference,[],[45]) ).

cnf(i_0_81,plain,
    ( ~ in(X1,X2)
    | ~ in(X1,set_difference(X3,X2)) ),
    inference(equality_inference,[],[47]) ).

cnf(i_0_82,plain,
    ( in(X1,X2)
    | ~ in(X1,set_difference(X2,X3)) ),
    inference(equality_inference,[],[48]) ).

cnf(i_0_83,plain,
    element(subset_complement(esk6_0,esk8_0),powerset(esk6_0)),
    inference(scs_inference,[],[i_0_59,i_0_44]) ).

cnf(i_0_84,plain,
    ( ~ element(X1,powerset(X2))
    | element(subset_complement(X2,X1),powerset(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_85,plain,
    subset_complement(esk6_0,esk8_0) = set_difference(esk6_0,esk8_0),
    inference(scs_inference,[],[i_0_59,i_0_44,i_0_49]) ).

cnf(i_0_86,plain,
    ( ~ element(X1,powerset(X2))
    | subset_complement(X2,X1) = set_difference(X2,X1) ),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_87,plain,
    ~ in(subset_complement(esk6_0,esk8_0),esk7_0),
    inference(scs_inference,[],[i_0_51,i_0_59,i_0_44,i_0_49,i_0_50]) ).

cnf(i_0_88,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_89,plain,
    ~ in(X1,esk3_0),
    inference(scs_inference,[],[i_0_51,i_0_59,i_0_66,i_0_44,i_0_49,i_0_50,i_0_53]) ).

cnf(i_0_90,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_91,plain,
    ~ in(esk7_0,set_difference(X1,subset_complement(esk6_0,esk8_0))),
    inference(scs_inference,[],[i_0_51,i_0_59,i_0_66,i_0_44,i_0_49,i_0_50,i_0_53,i_0_81]) ).

cnf(i_0_92,plain,
    ( ~ in(X1,X2)
    | ~ in(X1,set_difference(X3,X2)) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_93,plain,
    ~ in(subset_complement(esk6_0,esk8_0),set_difference(esk7_0,X1)),
    inference(scs_inference,[],[i_0_51,i_0_59,i_0_66,i_0_44,i_0_49,i_0_50,i_0_53,i_0_81,i_0_82]) ).

cnf(i_0_94,plain,
    ( in(X1,X2)
    | ~ in(X1,set_difference(X2,X3)) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_95,plain,
    X1 = set_difference(X1,empty_set),
    inference(scs_inference,[],[i_0_51,i_0_59,i_0_60,i_0_66,i_0_44,i_0_49,i_0_50,i_0_53,i_0_81,i_0_82,i_0_69]) ).

cnf(i_0_96,plain,
    in(esk7_0,set_difference(subset_complement(esk6_0,esk8_0),esk3_0)),
    inference(scs_inference,[],[i_0_51,i_0_59,i_0_60,i_0_66,i_0_44,i_0_49,i_0_50,i_0_53,i_0_81,i_0_82,i_0_69,i_0_80]) ).

cnf(i_0_97,plain,
    ( ~ in(X1,X2)
    | in(X1,X3)
    | in(X1,set_difference(X2,X3)) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_98,plain,
    $false,
    inference(scs_inference,[],[i_0_51,i_0_62,i_0_59,i_0_60,i_0_66,i_0_44,i_0_49,i_0_50,i_0_53,i_0_81,i_0_82,i_0_69,i_0_80,i_0_47]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU172+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n019.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 02:46:44 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 0.29/1.62  % Version  : CSE_E---1.7
% 0.29/1.62  % Problem  : theBenchmark.p
% 0.29/1.62  % SZS status Theorem for theBenchmark.p
% 0.29/1.62  % SZS output start CNFRefutation
% See solution above
% 0.39/1.71  % Total time : 1.272s
%------------------------------------------------------------------------------