TSTP Solution File: GEO093+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n024.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 : Wed Aug 30 22:46:05 EDT 2023

% Result   : Theorem 3.51s 3.65s
% Output   : CNFRefutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  104 (  11 unt;  25 typ;   0 def)
%            Number of atoms       :  234 (  44 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  231 (  76   ~; 117   |;  25   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   40 (  21   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   4 con; 0-3 aty)
%            Number of variables   :  168 (  11 sgn;  51   !;   2   ?;   0   :)

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

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

tff(decl_24,type,
    sum: ( $i * $i ) > $i ).

tff(decl_25,type,
    end_point: ( $i * $i ) > $o ).

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

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

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

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

tff(decl_30,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_31,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_32,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_33,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_34,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    esk6_1: $i > $i ).

tff(decl_36,type,
    esk7_1: $i > $i ).

tff(decl_37,type,
    esk8_1: $i > $i ).

tff(decl_38,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_39,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_40,type,
    esk11_2: ( $i * $i ) > $i ).

tff(decl_41,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_42,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_43,type,
    esk14_0: $i ).

tff(decl_44,type,
    esk15_0: $i ).

tff(decl_45,type,
    esk16_0: $i ).

tff(decl_46,type,
    esk17_0: $i ).

fof(inner_point_defn,axiom,
    ! [X3,X1] :
      ( inner_point(X3,X1)
    <=> ( incident_c(X3,X1)
        & ~ end_point(X3,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).

fof(sum_defn,axiom,
    ! [X1,X2,X4] :
      ( X1 = sum(X2,X4)
    <=> ! [X5] :
          ( incident_c(X5,X1)
        <=> ( incident_c(X5,X2)
            | incident_c(X5,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).

fof(closed_defn,axiom,
    ! [X1] :
      ( closed(X1)
    <=> ~ ? [X3] : end_point(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',closed_defn) ).

fof(part_of_defn,axiom,
    ! [X1,X2] :
      ( part_of(X2,X1)
    <=> ! [X3] :
          ( incident_c(X3,X2)
         => incident_c(X3,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).

fof(c1,axiom,
    ! [X1,X2] :
      ( ( part_of(X2,X1)
        & X2 != X1 )
     => open(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c1) ).

fof(open_defn,axiom,
    ! [X1] :
      ( open(X1)
    <=> ? [X3] : end_point(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',open_defn) ).

fof(proposition_2_14_2,conjecture,
    ! [X1,X2,X4,X3] :
      ( ( open(X1)
        & part_of(X2,X1)
        & part_of(X4,X1)
        & meet(X3,X2,X4) )
     => open(sum(X2,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2) ).

fof(c9,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( incident_c(X3,X1)
        <=> incident_c(X3,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c9) ).

fof(c_0_8,plain,
    ! [X3,X1] :
      ( inner_point(X3,X1)
    <=> ( incident_c(X3,X1)
        & ~ end_point(X3,X1) ) ),
    inference(fof_simplification,[status(thm)],[inner_point_defn]) ).

fof(c_0_9,plain,
    ! [X14,X15,X16,X17,X18,X19,X20,X21] :
      ( ( ~ incident_c(X17,X14)
        | incident_c(X17,X15)
        | incident_c(X17,X16)
        | X14 != sum(X15,X16) )
      & ( ~ incident_c(X18,X15)
        | incident_c(X18,X14)
        | X14 != sum(X15,X16) )
      & ( ~ incident_c(X18,X16)
        | incident_c(X18,X14)
        | X14 != sum(X15,X16) )
      & ( ~ incident_c(esk2_3(X19,X20,X21),X20)
        | ~ incident_c(esk2_3(X19,X20,X21),X19)
        | X19 = sum(X20,X21) )
      & ( ~ incident_c(esk2_3(X19,X20,X21),X21)
        | ~ incident_c(esk2_3(X19,X20,X21),X19)
        | X19 = sum(X20,X21) )
      & ( incident_c(esk2_3(X19,X20,X21),X19)
        | incident_c(esk2_3(X19,X20,X21),X20)
        | incident_c(esk2_3(X19,X20,X21),X21)
        | X19 = sum(X20,X21) ) ),
    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)],[sum_defn])])])])])]) ).

fof(c_0_10,plain,
    ! [X31,X32] :
      ( ( incident_c(X31,X32)
        | ~ inner_point(X31,X32) )
      & ( ~ end_point(X31,X32)
        | ~ inner_point(X31,X32) )
      & ( ~ incident_c(X31,X32)
        | end_point(X31,X32)
        | inner_point(X31,X32) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

cnf(c_0_11,plain,
    ( incident_c(X1,X3)
    | ~ incident_c(X1,X2)
    | X3 != sum(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    ( incident_c(esk2_3(X1,X2,X3),X1)
    | incident_c(esk2_3(X1,X2,X3),X2)
    | incident_c(esk2_3(X1,X2,X3),X3)
    | X1 = sum(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,plain,
    ! [X41,X42,X43] :
      ( ( ~ closed(X41)
        | ~ end_point(X42,X41) )
      & ( end_point(esk6_1(X43),X43)
        | closed(X43) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[closed_defn])])])])]) ).

cnf(c_0_14,plain,
    ( end_point(X1,X2)
    | inner_point(X1,X2)
    | ~ incident_c(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( incident_c(X1,sum(X2,X3))
    | ~ incident_c(X1,X3) ),
    inference(er,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( sum(X1,X2) = X1
    | incident_c(esk2_3(X1,X1,X2),X2)
    | incident_c(esk2_3(X1,X1,X2),X1) ),
    inference(ef,[status(thm)],[c_0_12]) ).

fof(c_0_17,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ( ~ part_of(X9,X8)
        | ~ incident_c(X10,X9)
        | incident_c(X10,X8) )
      & ( incident_c(esk1_2(X11,X12),X12)
        | part_of(X12,X11) )
      & ( ~ incident_c(esk1_2(X11,X12),X11)
        | part_of(X12,X11) ) ),
    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)],[part_of_defn])])])])])]) ).

cnf(c_0_18,plain,
    ( ~ closed(X1)
    | ~ end_point(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( inner_point(X1,sum(X2,X3))
    | end_point(X1,sum(X2,X3))
    | ~ incident_c(X1,X3) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( X1 = sum(X2,X3)
    | ~ incident_c(esk2_3(X1,X2,X3),X2)
    | ~ incident_c(esk2_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,plain,
    ( sum(X1,X1) = X1
    | incident_c(esk2_3(X1,X1,X1),X1) ),
    inference(ef,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    ( part_of(X2,X1)
    | ~ incident_c(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( incident_c(X1,X3)
    | ~ incident_c(X1,X2)
    | X3 != sum(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_24,plain,
    ( inner_point(X1,sum(X2,X3))
    | ~ closed(sum(X2,X3))
    | ~ incident_c(X1,X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    sum(X1,X1) = X1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).

fof(c_0_26,plain,
    ! [X49,X50] :
      ( ~ part_of(X50,X49)
      | X50 = X49
      | open(X50) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c1])]) ).

cnf(c_0_27,plain,
    ( part_of(X1,sum(X2,X3))
    | ~ incident_c(esk1_2(sum(X2,X3),X1),X3) ),
    inference(spm,[status(thm)],[c_0_22,c_0_15]) ).

cnf(c_0_28,plain,
    ( incident_c(esk1_2(X1,X2),X2)
    | part_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_29,plain,
    ! [X45,X47,X48] :
      ( ( ~ open(X45)
        | end_point(esk7_1(X45),X45) )
      & ( ~ end_point(X48,X47)
        | open(X47) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[open_defn])])])])]) ).

fof(c_0_30,negated_conjecture,
    ~ ! [X1,X2,X4,X3] :
        ( ( open(X1)
          & part_of(X2,X1)
          & part_of(X4,X1)
          & meet(X3,X2,X4) )
       => open(sum(X2,X4)) ),
    inference(assume_negation,[status(cth)],[proposition_2_14_2]) ).

cnf(c_0_31,plain,
    ( incident_c(X1,sum(X2,X3))
    | ~ incident_c(X1,X2) ),
    inference(er,[status(thm)],[c_0_23]) ).

fof(c_0_32,plain,
    ! [X78,X79] :
      ( ( ~ incident_c(esk13_2(X78,X79),X78)
        | ~ incident_c(esk13_2(X78,X79),X79)
        | X78 = X79 )
      & ( incident_c(esk13_2(X78,X79),X78)
        | incident_c(esk13_2(X78,X79),X79)
        | X78 = X79 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c9])])])]) ).

cnf(c_0_33,plain,
    ( inner_point(X1,X2)
    | ~ closed(X2)
    | ~ incident_c(X1,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_34,plain,
    ( X1 = X2
    | open(X1)
    | ~ part_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,plain,
    part_of(X1,sum(X2,X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_36,plain,
    ( open(X2)
    | ~ end_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( end_point(esk6_1(X1),X1)
    | closed(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_38,negated_conjecture,
    ( open(esk14_0)
    & part_of(esk15_0,esk14_0)
    & part_of(esk16_0,esk14_0)
    & meet(esk17_0,esk15_0,esk16_0)
    & ~ open(sum(esk15_0,esk16_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

cnf(c_0_39,plain,
    ( part_of(X1,sum(X2,X3))
    | ~ incident_c(esk1_2(sum(X2,X3),X1),X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_31]) ).

cnf(c_0_40,plain,
    ( X1 = X2
    | ~ incident_c(esk13_2(X1,X2),X1)
    | ~ incident_c(esk13_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,plain,
    ( incident_c(esk13_2(X1,X2),X1)
    | incident_c(esk13_2(X1,X2),X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( inner_point(X1,sum(X2,X3))
    | ~ closed(sum(X2,X3))
    | ~ incident_c(X1,X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_31]) ).

cnf(c_0_43,plain,
    ( sum(X1,X2) = X2
    | open(X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_44,plain,
    ( open(X1)
    | closed(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,plain,
    ( incident_c(X3,X2)
    | ~ part_of(X1,X2)
    | ~ incident_c(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_46,negated_conjecture,
    part_of(esk15_0,esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,negated_conjecture,
    part_of(esk16_0,esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,plain,
    part_of(X1,sum(X1,X2)),
    inference(spm,[status(thm)],[c_0_39,c_0_28]) ).

cnf(c_0_49,plain,
    ( X1 = sum(X2,X3)
    | ~ incident_c(esk13_2(X1,sum(X2,X3)),X1)
    | ~ incident_c(esk13_2(X1,sum(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_15]) ).

cnf(c_0_50,plain,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_51,plain,
    ( X1 = X2
    | inner_point(esk13_2(X1,X2),X1)
    | end_point(esk13_2(X1,X2),X1)
    | incident_c(esk13_2(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_41]) ).

cnf(c_0_52,plain,
    ( open(X1)
    | inner_point(X2,X1)
    | ~ incident_c(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    ( incident_c(X1,esk14_0)
    | ~ incident_c(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,negated_conjecture,
    ( incident_c(X1,esk14_0)
    | ~ incident_c(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_47]) ).

cnf(c_0_55,plain,
    ( sum(X1,X2) = X1
    | incident_c(esk2_3(X1,X1,X2),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_16]) ).

cnf(c_0_56,plain,
    ( incident_c(X1,X3)
    | incident_c(X1,X4)
    | ~ incident_c(X1,X2)
    | X2 != sum(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_57,plain,
    ( open(X1)
    | part_of(X2,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_43]) ).

cnf(c_0_58,plain,
    ( X1 = sum(X2,X3)
    | ~ inner_point(esk13_2(X1,sum(X2,X3)),X1)
    | ~ incident_c(esk13_2(X1,sum(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_59,plain,
    ( X1 = X2
    | open(X1)
    | inner_point(esk13_2(X1,X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_51]),c_0_52]) ).

cnf(c_0_60,negated_conjecture,
    ( X1 = sum(esk14_0,X2)
    | ~ incident_c(esk2_3(X1,esk14_0,X2),esk15_0)
    | ~ incident_c(esk2_3(X1,esk14_0,X2),X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    ( sum(X1,esk16_0) = X1
    | incident_c(esk2_3(X1,X1,esk16_0),esk14_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_62,plain,
    ( incident_c(X1,X2)
    | incident_c(X1,X3)
    | ~ incident_c(X1,sum(X3,X2)) ),
    inference(er,[status(thm)],[c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    ~ open(sum(esk15_0,esk16_0)),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_64,plain,
    ( X1 = X2
    | open(X2)
    | open(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_57]) ).

cnf(c_0_65,plain,
    ( X1 = sum(X2,X3)
    | open(X1)
    | ~ incident_c(esk13_2(X1,sum(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    ( sum(esk14_0,esk15_0) = esk14_0
    | ~ incident_c(esk2_3(esk14_0,esk14_0,esk15_0),esk14_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_55]) ).

cnf(c_0_67,negated_conjecture,
    sum(esk14_0,esk16_0) = esk14_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_61]),c_0_61]) ).

cnf(c_0_68,plain,
    ( sum(X1,X2) = X3
    | incident_c(esk13_2(sum(X1,X2),X3),X3)
    | incident_c(esk13_2(sum(X1,X2),X3),X1)
    | incident_c(esk13_2(sum(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_41]) ).

cnf(c_0_69,negated_conjecture,
    ( sum(esk15_0,esk16_0) = X1
    | open(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_70,plain,
    ( X1 = X2
    | open(X1)
    | ~ incident_c(esk13_2(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_25]) ).

cnf(c_0_71,negated_conjecture,
    sum(esk14_0,esk15_0) = esk14_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_55]) ).

cnf(c_0_72,negated_conjecture,
    ( X1 = esk14_0
    | open(X1)
    | ~ incident_c(esk13_2(X1,esk14_0),esk16_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_67]) ).

cnf(c_0_73,negated_conjecture,
    ( X1 = X2
    | open(X1)
    | incident_c(esk13_2(X1,X2),esk16_0)
    | incident_c(esk13_2(X1,X2),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    ( X1 = esk14_0
    | open(X1)
    | ~ incident_c(esk13_2(X1,esk14_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_71]) ).

cnf(c_0_75,negated_conjecture,
    ( X1 = esk14_0
    | open(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_76,negated_conjecture,
    sum(esk15_0,esk16_0) = esk14_0,
    inference(spm,[status(thm)],[c_0_63,c_0_75]) ).

cnf(c_0_77,negated_conjecture,
    open(esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_78,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_76]),c_0_77])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO093+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 21:17:37 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.64  start to proof: theBenchmark
% 3.51/3.65  % Version  : CSE_E---1.5
% 3.51/3.65  % Problem  : theBenchmark.p
% 3.51/3.65  % Proof found
% 3.51/3.65  % SZS status Theorem for theBenchmark.p
% 3.51/3.65  % SZS output start Proof
% See solution above
% 3.51/3.66  % Total time : 3.007000 s
% 3.51/3.66  % SZS output end Proof
% 3.51/3.66  % Total time : 3.010000 s
%------------------------------------------------------------------------------