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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SEU122+2 : 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 : 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 05:10:40 PM UTC 2026

% Result   : Theorem 0.27s 1.61s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 47)

% Comments : 
%------------------------------------------------------------------------------
fof(t4_xboole_0,lemma,
    ! [X1,X2] :
      ( ~ ( ~ disjoint(X1,X2)
          & ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
      & ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
          & disjoint(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).

fof(t3_xboole_0,lemma,
    ! [X1,X2] :
      ( ~ ( ~ disjoint(X1,X2)
          & ! [X3] :
              ~ ( in(X3,X1)
                & in(X3,X2) ) )
      & ~ ( ? [X3] :
              ( in(X3,X1)
              & in(X3,X2) )
          & disjoint(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_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(d1_xboole_0,axiom,
    ! [X1] :
      ( X1 = empty_set
    <=> ! [X2] : ~ in(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(t2_xboole_1,conjecture,
    ! [X1] : subset(empty_set,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).

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

fof(d3_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = set_intersection2(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,X1)
            & in(X4,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(d3_tarski,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( in(X3,X1)
         => in(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(t1_xboole_1,lemma,
    ! [X1,X2,X3] :
      ( ( subset(X1,X2)
        & subset(X2,X3) )
     => subset(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(symmetry_r1_xboole_0,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
     => disjoint(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).

fof(d7_xboole_0,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
    <=> set_intersection2(X1,X2) = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).

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

fof(commutativity_k3_xboole_0,axiom,
    ! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).

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

fof(idempotence_k3_xboole_0,axiom,
    ! [X1,X2] : set_intersection2(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X1,X2] : subset(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

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_19,lemma,
    ! [X1,X2] :
      ( ~ ( ~ disjoint(X1,X2)
          & ! [X3] : ~ in(X3,set_intersection2(X1,X2)) )
      & ~ ( ? [X3] : in(X3,set_intersection2(X1,X2))
          & disjoint(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[t4_xboole_0]) ).

fof(i_0_20,lemma,
    ! [X1,X2] :
      ( ~ ( ~ disjoint(X1,X2)
          & ! [X3] :
              ~ ( in(X3,X1)
                & in(X3,X2) ) )
      & ~ ( ? [X3] :
              ( in(X3,X1)
              & in(X3,X2) )
          & disjoint(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[t3_xboole_0]) ).

fof(i_0_21,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).

fof(i_0_22,plain,
    ! [X1] :
      ( X1 = empty_set
    <=> ! [X2] : ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).

fof(i_0_23,negated_conjecture,
    ~ ! [X1] : subset(empty_set,X1),
    inference(assume_negation,[status(cth)],[t2_xboole_1]) ).

fof(i_0_24,plain,
    ? [X1] : ~ empty(X1),
    inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).

fof(i_0_25,plain,
    ! [X59,X60,X61,X62,X63,X64,X65,X66] :
      ( ( in(X62,X59)
        | ~ in(X62,X61)
        | X61 != set_intersection2(X59,X60) )
      & ( in(X62,X60)
        | ~ in(X62,X61)
        | X61 != set_intersection2(X59,X60) )
      & ( ~ in(X63,X59)
        | ~ in(X63,X60)
        | in(X63,X61)
        | X61 != set_intersection2(X59,X60) )
      & ( ~ in(esk3_3(X64,X65,X66),X66)
        | ~ in(esk3_3(X64,X65,X66),X64)
        | ~ in(esk3_3(X64,X65,X66),X65)
        | X66 = set_intersection2(X64,X65) )
      & ( in(esk3_3(X64,X65,X66),X64)
        | in(esk3_3(X64,X65,X66),X66)
        | X66 = set_intersection2(X64,X65) )
      & ( in(esk3_3(X64,X65,X66),X65)
        | in(esk3_3(X64,X65,X66),X66)
        | X66 = set_intersection2(X64,X65) ) ),
    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)],[d3_xboole_0])])])])])]) ).

fof(i_0_26,lemma,
    ! [X86,X87,X89,X90,X91] :
      ( ( disjoint(X86,X87)
        | in(esk8_2(X86,X87),set_intersection2(X86,X87)) )
      & ( ~ in(X91,set_intersection2(X89,X90))
        | ~ disjoint(X89,X90) ) ),
    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_19])])])])]) ).

fof(i_0_27,plain,
    ! [X53,X54,X55,X56,X57] :
      ( ( ~ subset(X53,X54)
        | ~ in(X55,X53)
        | in(X55,X54) )
      & ( in(esk2_2(X56,X57),X56)
        | subset(X56,X57) )
      & ( ~ in(esk2_2(X56,X57),X57)
        | subset(X56,X57) ) ),
    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)],[d3_tarski])])])])])]) ).

fof(i_0_28,lemma,
    ! [X80,X81,X83,X84,X85] :
      ( ( in(esk7_2(X80,X81),X80)
        | disjoint(X80,X81) )
      & ( in(esk7_2(X80,X81),X81)
        | disjoint(X80,X81) )
      & ( ~ in(X85,X83)
        | ~ in(X85,X84)
        | ~ disjoint(X83,X84) ) ),
    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_20])])])])])]) ).

fof(i_0_29,lemma,
    ! [X76,X77,X78] :
      ( ~ subset(X76,X77)
      | ~ subset(X77,X78)
      | subset(X76,X78) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).

fof(i_0_30,plain,
    ! [X45,X46] :
      ( ~ in(X45,X46)
      | ~ in(X46,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_21])]) ).

fof(i_0_31,plain,
    ! [X74,X75] :
      ( ~ disjoint(X74,X75)
      | disjoint(X75,X74) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).

fof(i_0_32,plain,
    ! [X68,X69] :
      ( ( ~ disjoint(X68,X69)
        | set_intersection2(X68,X69) = empty_set )
      & ( set_intersection2(X68,X69) != empty_set
        | disjoint(X68,X69) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_xboole_0])]) ).

fof(i_0_33,plain,
    ! [X93,X94] :
      ( ~ in(X93,X94)
      | ~ empty(X94) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

fof(i_0_34,plain,
    ! [X47,X48] : set_intersection2(X47,X48) = set_intersection2(X48,X47),
    inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).

fof(i_0_35,plain,
    ! [X49,X50,X51] :
      ( ( X49 != empty_set
        | ~ in(X50,X49) )
      & ( in(esk1_1(X51),X51)
        | X51 = empty_set ) ),
    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_22])])])])]) ).

fof(i_0_36,negated_conjecture,
    ~ subset(empty_set,esk6_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_23])])]) ).

fof(i_0_37,plain,
    ! [X95,X96] :
      ( ~ empty(X95)
      | X95 = X96
      | ~ empty(X96) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).

fof(i_0_38,plain,
    ! [X70] : set_intersection2(X70,X70) = X70,
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).

fof(i_0_39,plain,
    ! [X73] : subset(X73,X73),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).

fof(i_0_40,plain,
    ! [X92] :
      ( ~ empty(X92)
      | X92 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

fof(i_0_41,plain,
    ~ empty(esk5_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_24])]) ).

fof(i_0_42,plain,
    empty(esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).

cnf(i_0_43,plain,
    ( X3 = set_intersection2(X1,X2)
    | ~ in(esk3_3(X1,X2,X3),X3)
    | ~ in(esk3_3(X1,X2,X3),X1)
    | ~ in(esk3_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_44,plain,
    ( in(esk3_3(X1,X2,X3),X1)
    | in(esk3_3(X1,X2,X3),X3)
    | X3 = set_intersection2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_45,plain,
    ( in(esk3_3(X1,X2,X3),X2)
    | in(esk3_3(X1,X2,X3),X3)
    | X3 = set_intersection2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_46,lemma,
    ( ~ in(X1,set_intersection2(X2,X3))
    | ~ disjoint(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_26]),
    [final] ).

cnf(i_0_47,plain,
    ( in(X1,X4)
    | ~ in(X1,X2)
    | ~ in(X1,X3)
    | X4 != set_intersection2(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_48,lemma,
    ( disjoint(X1,X2)
    | in(esk8_2(X1,X2),set_intersection2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_26]),
    [final] ).

cnf(i_0_49,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_50,lemma,
    ( ~ in(X1,X2)
    | ~ in(X1,X3)
    | ~ disjoint(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_51,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | X3 != set_intersection2(X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_52,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | X3 != set_intersection2(X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_53,lemma,
    ( subset(X1,X3)
    | ~ subset(X1,X2)
    | ~ subset(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_54,plain,
    ( in(X3,X2)
    | ~ subset(X1,X2)
    | ~ in(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_55,lemma,
    ( in(esk7_2(X1,X2),X1)
    | disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_56,lemma,
    ( in(esk7_2(X1,X2),X2)
    | disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_57,plain,
    ( in(esk2_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_58,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_30]),
    [final] ).

cnf(i_0_59,plain,
    ( disjoint(X2,X1)
    | ~ disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_60,plain,
    ( disjoint(X1,X2)
    | set_intersection2(X1,X2) != empty_set ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_61,plain,
    ( set_intersection2(X1,X2) = empty_set
    | ~ disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_62,plain,
    ( ~ in(X1,X2)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_63,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_64,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_65,plain,
    ( in(esk1_1(X1),X1)
    | X1 = empty_set ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_66,negated_conjecture,
    ~ subset(empty_set,esk6_0),
    inference(split_conjunct,[status(thm)],[i_0_36]),
    [final] ).

cnf(i_0_67,plain,
    ( X1 = X2
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_37]),
    [final] ).

cnf(i_0_68,plain,
    set_intersection2(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[i_0_38]),
    [final] ).

cnf(i_0_69,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_70,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_40]),
    [final] ).

cnf(i_0_71,plain,
    ~ empty(esk5_0),
    inference(split_conjunct,[status(thm)],[i_0_41]),
    [final] ).

cnf(i_0_72,plain,
    empty(esk4_0),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_73,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
    [final] ).

cnf(i_0_74,axiom,
    X1 = X1 ).

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

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

cnf(i_0_77,axiom,
    ( X1 != X2
    | set_intersection2(X1,X3) = set_intersection2(X2,X3) ) ).

cnf(i_0_78,axiom,
    ( X1 != X2
    | set_intersection2(X3,X1) = set_intersection2(X3,X2) ) ).

cnf(i_0_79,axiom,
    ( X1 != X2
    | ~ in(X1,X3)
    | in(X2,X3) ) ).

cnf(i_0_80,axiom,
    ( X1 != X2
    | ~ in(X3,X1)
    | in(X3,X2) ) ).

cnf(i_0_81,axiom,
    ( X1 != X2
    | ~ disjoint(X1,X3)
    | disjoint(X2,X3) ) ).

cnf(i_0_82,axiom,
    ( X1 != X2
    | ~ disjoint(X3,X1)
    | disjoint(X3,X2) ) ).

cnf(i_0_83,axiom,
    ( X1 != X2
    | ~ subset(X1,X3)
    | subset(X2,X3) ) ).

cnf(i_0_84,axiom,
    ( X1 != X2
    | ~ subset(X3,X1)
    | subset(X3,X2) ) ).

cnf(i_0_85,axiom,
    ( X1 != X2
    | ~ empty(X1)
    | empty(X2) ) ).

cnf(i_0_74_001,axiom,
    X1 = X1 ).

cnf(i_0_75_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_76_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_77_004,axiom,
    ( X1 != X2
    | set_intersection2(X1,X3) = set_intersection2(X2,X3) ) ).

cnf(i_0_78_005,axiom,
    ( X1 != X2
    | set_intersection2(X3,X1) = set_intersection2(X3,X2) ) ).

cnf(i_0_79_006,axiom,
    ( X1 != X2
    | ~ in(X1,X3)
    | in(X2,X3) ) ).

cnf(i_0_80_007,axiom,
    ( X1 != X2
    | ~ in(X3,X1)
    | in(X3,X2) ) ).

cnf(i_0_81_008,axiom,
    ( X1 != X2
    | ~ disjoint(X1,X3)
    | disjoint(X2,X3) ) ).

cnf(i_0_82_009,axiom,
    ( X1 != X2
    | ~ disjoint(X3,X1)
    | disjoint(X3,X2) ) ).

cnf(i_0_83_010,axiom,
    ( X1 != X2
    | ~ subset(X1,X3)
    | subset(X2,X3) ) ).

cnf(i_0_84_011,axiom,
    ( X1 != X2
    | ~ subset(X3,X1)
    | subset(X3,X2) ) ).

cnf(i_0_85_012,axiom,
    ( X1 != X2
    | ~ empty(X1)
    | empty(X2) ) ).

cnf(i_0_86,plain,
    ( in(X1,set_intersection2(X2,X3))
    | ~ in(X1,X2)
    | ~ in(X1,X3) ),
    inference(equality_inference,[],[47]) ).

cnf(i_0_87,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X2,X3)) ),
    inference(equality_inference,[],[51]) ).

cnf(i_0_88,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X3,X2)) ),
    inference(equality_inference,[],[52]) ).

cnf(i_0_89,plain,
    ~ in(X1,empty_set),
    inference(equality_inference,[],[64]) ).

cnf(i_0_90,plain,
    $false,
    inference(scs_inference,[],[i_0_89,i_0_66,i_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU122+2 : 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 : 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
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 02:44:05 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 0.27/1.61  % Version  : CSE_E---1.7
% 0.27/1.61  % Problem  : theBenchmark.p
% 0.27/1.61  % SZS status Theorem for theBenchmark.p
% 0.27/1.61  % SZS output start CNFRefutation
% See solution above
% 0.27/1.63  % Total time : 1.271s
%------------------------------------------------------------------------------