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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MSC009+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n018.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 04:48:56 PM UTC 2026

% Result   : Satisfiable 1.26s 1.70s
% Output   : Saturation 1.26s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(mother,axiom,
    ! [X1] :
      ( mother(X1)
    <=> ( parent(X1)
        & ? [X2] :
            ( sex(X1,X2)
            & female(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mother) ).

fof(person,axiom,
    ! [X1] :
      ( person(X1)
    <=> ? [X2] :
          ( sex(X1,X2)
          & ( male(X2)
            | female(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person) ).

fof(parent,axiom,
    ! [X1] :
      ( parent(X1)
    <=> ( person(X1)
        & ? [X2] :
            ( child(X1,X2)
            & person(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',parent) ).

fof(female,axiom,
    ! [X1] :
      ( female(X1)
    <=> ~ male(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',female) ).

fof(parent_with_sons_only,axiom,
    ! [X1] :
      ( parent_with_sons_only(X1)
    <=> ( parent(X1)
        & ! [X2] :
            ( child(X1,X2)
           => ? [X3] :
                ( sex(X2,X3)
                & male(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',parent_with_sons_only) ).

fof(grandparent,axiom,
    ! [X1] :
      ( grandparent(X1)
    <=> ( parent(X1)
        & ? [X2] :
            ( child(X1,X2)
            & parent(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grandparent) ).

fof(father,axiom,
    ! [X1] :
      ( father(X1)
    <=> ( parent(X1)
        & ~ mother(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',father) ).

fof(c_0_7,plain,
    ! [X26,X28,X29] :
      ( ( parent(X26)
        | ~ mother(X26) )
      & ( sex(X26,esk3_1(X26))
        | ~ mother(X26) )
      & ( female(esk3_1(X26))
        | ~ mother(X26) )
      & ( ~ parent(X28)
        | ~ sex(X28,X29)
        | ~ female(X29)
        | mother(X28) ) ),
    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)],[mother])])])])])]) ).

fof(c_0_8,plain,
    ! [X18,X20,X21] :
      ( ( sex(X18,esk1_1(X18))
        | ~ person(X18) )
      & ( male(esk1_1(X18))
        | female(esk1_1(X18))
        | ~ person(X18) )
      & ( ~ male(X21)
        | ~ sex(X20,X21)
        | person(X20) )
      & ( ~ female(X21)
        | ~ sex(X20,X21)
        | person(X20) ) ),
    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)],[person])])])])])]) ).

fof(c_0_9,plain,
    ! [X22,X24,X25] :
      ( ( person(X22)
        | ~ parent(X22) )
      & ( child(X22,esk2_1(X22))
        | ~ parent(X22) )
      & ( person(esk2_1(X22))
        | ~ parent(X22) )
      & ( ~ person(X24)
        | ~ child(X24,X25)
        | ~ person(X25)
        | parent(X24) ) ),
    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)],[parent])])])])])]) ).

fof(c_0_10,plain,
    ! [X1] :
      ( female(X1)
    <=> ~ male(X1) ),
    inference(fof_simplification,[status(thm)],[female]) ).

fof(c_0_11,plain,
    ! [X35,X36,X38,X40] :
      ( ( parent(X35)
        | ~ parent_with_sons_only(X35) )
      & ( sex(X36,esk5_2(X35,X36))
        | ~ child(X35,X36)
        | ~ parent_with_sons_only(X35) )
      & ( male(esk5_2(X35,X36))
        | ~ child(X35,X36)
        | ~ parent_with_sons_only(X35) )
      & ( child(X38,esk6_1(X38))
        | ~ parent(X38)
        | parent_with_sons_only(X38) )
      & ( ~ sex(esk6_1(X38),X40)
        | ~ male(X40)
        | ~ parent(X38)
        | parent_with_sons_only(X38) ) ),
    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)],[parent_with_sons_only])])])])])]) ).

cnf(c_0_12,plain,
    ( mother(X1)
    | ~ parent(X1)
    | ~ sex(X1,X2)
    | ~ female(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]),
    [final] ).

cnf(c_0_13,plain,
    ( sex(X1,esk1_1(X1))
    | ~ person(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

cnf(c_0_14,plain,
    ( person(X1)
    | ~ parent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

fof(c_0_15,plain,
    ! [X17] :
      ( ( ~ female(X17)
        | ~ male(X17) )
      & ( male(X17)
        | female(X17) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).

cnf(c_0_16,plain,
    ( parent_with_sons_only(X1)
    | ~ sex(esk6_1(X1),X2)
    | ~ male(X2)
    | ~ parent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

cnf(c_0_17,plain,
    ( mother(X1)
    | ~ parent(X1)
    | ~ female(esk1_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
    [final] ).

cnf(c_0_18,plain,
    ( male(X1)
    | female(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

cnf(c_0_19,plain,
    ( person(X2)
    | ~ male(X1)
    | ~ sex(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

cnf(c_0_20,plain,
    ( sex(X1,esk5_2(X2,X1))
    | ~ child(X2,X1)
    | ~ parent_with_sons_only(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

cnf(c_0_21,plain,
    ( male(esk5_2(X1,X2))
    | ~ child(X1,X2)
    | ~ parent_with_sons_only(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

fof(c_0_22,plain,
    ! [X31,X33,X34] :
      ( ( parent(X31)
        | ~ grandparent(X31) )
      & ( child(X31,esk4_1(X31))
        | ~ grandparent(X31) )
      & ( parent(esk4_1(X31))
        | ~ grandparent(X31) )
      & ( ~ parent(X33)
        | ~ child(X33,X34)
        | ~ parent(X34)
        | grandparent(X33) ) ),
    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)],[grandparent])])])])])]) ).

fof(c_0_23,plain,
    ! [X1] :
      ( father(X1)
    <=> ( parent(X1)
        & ~ mother(X1) ) ),
    inference(fof_simplification,[status(thm)],[father]) ).

cnf(c_0_24,plain,
    ( parent_with_sons_only(X1)
    | ~ parent(X1)
    | ~ person(esk6_1(X1))
    | ~ male(esk1_1(esk6_1(X1))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_13]),
    [final] ).

cnf(c_0_25,plain,
    ( mother(X1)
    | male(esk1_1(X1))
    | ~ parent(X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]),
    [final] ).

cnf(c_0_26,plain,
    ( person(X1)
    | ~ parent_with_sons_only(X2)
    | ~ child(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
    [final] ).

cnf(c_0_27,plain,
    ( child(X1,esk4_1(X1))
    | ~ grandparent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]),
    [final] ).

cnf(c_0_28,plain,
    ( grandparent(X1)
    | ~ parent(X1)
    | ~ child(X1,X2)
    | ~ parent(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]),
    [final] ).

cnf(c_0_29,plain,
    ( child(X1,esk6_1(X1))
    | parent_with_sons_only(X1)
    | ~ parent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

cnf(c_0_30,plain,
    ( child(X1,esk2_1(X1))
    | ~ parent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

cnf(c_0_31,plain,
    ( person(X2)
    | ~ female(X1)
    | ~ sex(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]),
    [final] ).

cnf(c_0_32,plain,
    ( sex(X1,esk3_1(X1))
    | ~ mother(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]),
    [final] ).

cnf(c_0_33,plain,
    ( female(esk3_1(X1))
    | ~ mother(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]),
    [final] ).

fof(c_0_34,plain,
    ! [X30] :
      ( ( parent(X30)
        | ~ father(X30) )
      & ( ~ mother(X30)
        | ~ father(X30) )
      & ( ~ parent(X30)
        | mother(X30)
        | father(X30) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

cnf(c_0_35,plain,
    ( ~ female(X1)
    | ~ male(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]),
    [final] ).

cnf(c_0_36,plain,
    ( parent_with_sons_only(X1)
    | ~ parent_with_sons_only(X2)
    | ~ child(X2,esk6_1(X1))
    | ~ parent(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_21]),
    [final] ).

cnf(c_0_37,plain,
    ( parent_with_sons_only(X1)
    | mother(esk6_1(X1))
    | ~ parent(esk6_1(X1))
    | ~ parent(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_14]),
    [final] ).

cnf(c_0_38,plain,
    ( mother(X1)
    | ~ parent_with_sons_only(X2)
    | ~ child(X2,X1)
    | ~ parent(X1)
    | ~ female(esk5_2(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_20]),
    [final] ).

cnf(c_0_39,plain,
    ( person(esk4_1(X1))
    | ~ parent_with_sons_only(X1)
    | ~ grandparent(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]),
    [final] ).

cnf(c_0_40,plain,
    ( parent_with_sons_only(X1)
    | grandparent(X1)
    | ~ parent(esk6_1(X1))
    | ~ parent(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]),
    [final] ).

cnf(c_0_41,plain,
    ( grandparent(X1)
    | ~ parent(esk2_1(X1))
    | ~ parent(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_30]),
    [final] ).

cnf(c_0_42,plain,
    ( person(X1)
    | ~ mother(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
    [final] ).

cnf(c_0_43,plain,
    ( parent(X1)
    | ~ person(X1)
    | ~ child(X1,X2)
    | ~ person(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

cnf(c_0_44,plain,
    ( mother(X1)
    | father(X1)
    | ~ parent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]),
    [final] ).

cnf(c_0_45,plain,
    ( parent(esk4_1(X1))
    | ~ grandparent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]),
    [final] ).

cnf(c_0_46,plain,
    ( person(esk2_1(X1))
    | ~ parent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]),
    [final] ).

cnf(c_0_47,plain,
    ( ~ mother(X1)
    | ~ male(esk3_1(X1)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_33]),
    [final] ).

cnf(c_0_48,plain,
    ( parent(X1)
    | ~ parent_with_sons_only(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]),
    [final] ).

cnf(c_0_49,plain,
    ( parent(X1)
    | ~ grandparent(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]),
    [final] ).

cnf(c_0_50,plain,
    ( parent(X1)
    | ~ father(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]),
    [final] ).

cnf(c_0_51,plain,
    ( ~ mother(X1)
    | ~ father(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]),
    [final] ).

cnf(c_0_52,plain,
    ( parent(X1)
    | ~ mother(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : MSC009+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11  % 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
% 0.14/0.32  % Computer : n018.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Mon May  4 23:35:02 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 1.26/1.70  % Version  : CSE_E---1.7
% 1.26/1.70  % Problem  : theBenchmark.p
% 1.26/1.70  % SZS status Satisfiable for theBenchmark.p
% 1.26/1.70  % SZS output start Saturation
% See solution above
% 1.26/1.70  % Total time : 1.371s
%------------------------------------------------------------------------------