TSTP Solution File: KRS132+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n021.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 05:40:23 EDT 2023

% Result   : Theorem 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  124 (   7 unt;  25 typ;   0 def)
%            Number of atoms       :  352 (   0 equ)
%            Maximal formula atoms :   38 (   3 avg)
%            Number of connectives :  421 ( 168   ~; 202   |;  33   &)
%                                         (  13 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  22   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-1 aty)
%            Number of variables   :  102 (  10 sgn;  46   !;   5   ?;   0   :)

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

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

tff(decl_24,type,
    xsd_string: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(decl_37,type,
    esk1_1: $i > $i ).

tff(decl_38,type,
    esk2_1: $i > $i ).

tff(decl_39,type,
    esk3_1: $i > $i ).

tff(decl_40,type,
    esk4_1: $i > $i ).

tff(decl_41,type,
    esk5_1: $i > $i ).

tff(decl_42,type,
    esk6_1: $i > $i ).

tff(decl_43,type,
    esk7_1: $i > $i ).

tff(decl_44,type,
    esk8_0: $i ).

tff(decl_45,type,
    esk9_0: $i ).

tff(decl_46,type,
    esk10_0: $i ).

fof(axiom_5,axiom,
    ! [X1] :
      ( cNothing(X1)
     => ? [X3] : rp(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_6,axiom,
    ! [X1] :
      ( cNothing(X1)
     => ~ ? [X2] : rp(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_10,axiom,
    ! [X1] :
      ( cnotB(X1)
    <=> ! [X2] :
          ( rr(X1,X2)
         => cNothing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( cAorB(X1)
      <=> ( cB(X1)
          | cA(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_7,axiom,
    ! [X1] :
      ( cnotA(X1)
    <=> ! [X2] :
          ( rq(X1,X2)
         => cNothing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(axiom_4,axiom,
    ! [X1] :
      ( cB(X1)
    <=> ? [X2] :
          ( rr(X1,X2)
          & cowlThing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cA(X1)
    <=> ? [X2] :
          ( rq(X1,X2)
          & cowlThing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_8,axiom,
    ! [X1] :
      ( cnotAorB(X1)
    <=> ! [X2] :
          ( rs(X1,X2)
         => cNothing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(axiom_9,axiom,
    ! [X1] :
      ( cnotAorB(X1)
    <=> ( cnotB(X1)
        & cnotA(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(axiom_3,axiom,
    ! [X1] :
      ( cAorB(X1)
    <=> ? [X2] :
          ( rs(X1,X2)
          & cowlThing(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(c_0_12,plain,
    ! [X18] :
      ( ~ cNothing(X18)
      | rp(X18,esk4_1(X18)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).

fof(c_0_13,plain,
    ! [X20,X21] :
      ( ~ cNothing(X20)
      | ~ rp(X20,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).

fof(c_0_14,plain,
    ! [X31,X32,X33] :
      ( ( ~ cnotB(X31)
        | ~ rr(X31,X32)
        | cNothing(X32) )
      & ( rr(X33,esk7_1(X33))
        | cnotB(X33) )
      & ( ~ cNothing(esk7_1(X33))
        | cnotB(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)],[axiom_10])])])])])]) ).

cnf(c_0_15,plain,
    ( rp(X1,esk4_1(X1))
    | ~ cNothing(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( ~ cNothing(X1)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( cAorB(X1)
        <=> ( cB(X1)
            | cA(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).

fof(c_0_18,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_19,plain,
    ! [X22,X23,X24] :
      ( ( ~ cnotA(X22)
        | ~ rq(X22,X23)
        | cNothing(X23) )
      & ( rq(X24,esk5_1(X24))
        | cnotA(X24) )
      & ( ~ cNothing(esk5_1(X24))
        | cnotA(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)],[axiom_7])])])])])]) ).

cnf(c_0_20,plain,
    ( cNothing(X2)
    | ~ cnotB(X1)
    | ~ rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ~ cNothing(X1),
    inference(csr,[status(thm)],[c_0_15,c_0_16]) ).

fof(c_0_22,plain,
    ! [X14,X16,X17] :
      ( ( rr(X14,esk3_1(X14))
        | ~ cB(X14) )
      & ( cowlThing(esk3_1(X14))
        | ~ cB(X14) )
      & ( ~ rr(X16,X17)
        | ~ cowlThing(X17)
        | cB(X16) ) ),
    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)],[axiom_4])])])])])]) ).

fof(c_0_23,negated_conjecture,
    ( ( ~ cB(esk10_0)
      | ~ cAorB(esk10_0)
      | ~ xsd_string(esk9_0)
      | xsd_integer(esk9_0)
      | ~ cowlThing(esk8_0)
      | cowlNothing(esk8_0) )
    & ( ~ cA(esk10_0)
      | ~ cAorB(esk10_0)
      | ~ xsd_string(esk9_0)
      | xsd_integer(esk9_0)
      | ~ cowlThing(esk8_0)
      | cowlNothing(esk8_0) )
    & ( cAorB(esk10_0)
      | cB(esk10_0)
      | cA(esk10_0)
      | ~ xsd_string(esk9_0)
      | xsd_integer(esk9_0)
      | ~ cowlThing(esk8_0)
      | cowlNothing(esk8_0) )
    & ( ~ cB(esk10_0)
      | ~ cAorB(esk10_0)
      | xsd_string(esk9_0)
      | ~ xsd_integer(esk9_0)
      | ~ cowlThing(esk8_0)
      | cowlNothing(esk8_0) )
    & ( ~ cA(esk10_0)
      | ~ cAorB(esk10_0)
      | xsd_string(esk9_0)
      | ~ xsd_integer(esk9_0)
      | ~ cowlThing(esk8_0)
      | cowlNothing(esk8_0) )
    & ( cAorB(esk10_0)
      | cB(esk10_0)
      | cA(esk10_0)
      | xsd_string(esk9_0)
      | ~ xsd_integer(esk9_0)
      | ~ cowlThing(esk8_0)
      | cowlNothing(esk8_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

fof(c_0_24,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(variable_rename,[status(thm)],[c_0_18]) ).

fof(c_0_25,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_26,plain,
    ( cNothing(X2)
    | ~ cnotA(X1)
    | ~ rq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_27,plain,
    ! [X6,X8,X9] :
      ( ( rq(X6,esk1_1(X6))
        | ~ cA(X6) )
      & ( cowlThing(esk1_1(X6))
        | ~ cA(X6) )
      & ( ~ rq(X8,X9)
        | ~ cowlThing(X9)
        | cA(X8) ) ),
    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)],[axiom_2])])])])])]) ).

fof(c_0_28,plain,
    ! [X26,X27,X28] :
      ( ( ~ cnotAorB(X26)
        | ~ rs(X26,X27)
        | cNothing(X27) )
      & ( rs(X28,esk6_1(X28))
        | cnotAorB(X28) )
      & ( ~ cNothing(esk6_1(X28))
        | cnotAorB(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)],[axiom_8])])])])])]) ).

cnf(c_0_29,plain,
    ( ~ cnotB(X1)
    | ~ rr(X1,X2) ),
    inference(sr,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_30,plain,
    ( rr(X1,esk3_1(X1))
    | ~ cB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_31,plain,
    ! [X30] :
      ( ( cnotB(X30)
        | ~ cnotAorB(X30) )
      & ( cnotA(X30)
        | ~ cnotAorB(X30) )
      & ( ~ cnotB(X30)
        | ~ cnotA(X30)
        | cnotAorB(X30) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_9])])]) ).

cnf(c_0_32,negated_conjecture,
    ( cAorB(esk10_0)
    | cB(esk10_0)
    | cA(esk10_0)
    | xsd_string(esk9_0)
    | cowlNothing(esk8_0)
    | ~ xsd_integer(esk9_0)
    | ~ cowlThing(esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_34,plain,
    ! [X5] :
      ( ( ~ xsd_string(X5)
        | ~ xsd_integer(X5) )
      & ( xsd_integer(X5)
        | xsd_string(X5) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).

cnf(c_0_35,plain,
    ( ~ cnotA(X1)
    | ~ rq(X1,X2) ),
    inference(sr,[status(thm)],[c_0_26,c_0_21]) ).

cnf(c_0_36,plain,
    ( rq(X1,esk1_1(X1))
    | ~ cA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    ( cNothing(X2)
    | ~ cnotAorB(X1)
    | ~ rs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_38,plain,
    ! [X10,X12,X13] :
      ( ( rs(X10,esk2_1(X10))
        | ~ cAorB(X10) )
      & ( cowlThing(esk2_1(X10))
        | ~ cAorB(X10) )
      & ( ~ rs(X12,X13)
        | ~ cowlThing(X13)
        | cAorB(X12) ) ),
    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)],[axiom_3])])])])])]) ).

cnf(c_0_39,plain,
    ( ~ cnotB(X1)
    | ~ cB(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_40,plain,
    ( cnotB(X1)
    | ~ cnotAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,negated_conjecture,
    ( cowlNothing(esk8_0)
    | xsd_string(esk9_0)
    | cA(esk10_0)
    | cAorB(esk10_0)
    | cB(esk10_0)
    | ~ xsd_integer(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

cnf(c_0_42,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_43,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,plain,
    ( ~ cnotA(X1)
    | ~ cA(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    ( cnotA(X1)
    | ~ cnotAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_46,plain,
    ( ~ cnotAorB(X1)
    | ~ rs(X1,X2) ),
    inference(sr,[status(thm)],[c_0_37,c_0_21]) ).

cnf(c_0_47,plain,
    ( rs(X1,esk2_1(X1))
    | ~ cAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,plain,
    ( cAorB(X1)
    | ~ rs(X1,X2)
    | ~ cowlThing(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_49,negated_conjecture,
    ( cAorB(esk10_0)
    | cB(esk10_0)
    | cA(esk10_0)
    | xsd_integer(esk9_0)
    | cowlNothing(esk8_0)
    | ~ xsd_string(esk9_0)
    | ~ cowlThing(esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_50,plain,
    ( ~ cnotAorB(X1)
    | ~ cB(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_51,negated_conjecture,
    ( cB(esk10_0)
    | cAorB(esk10_0)
    | cA(esk10_0)
    | xsd_string(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_52,plain,
    ( ~ cnotAorB(X1)
    | ~ cA(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_53,plain,
    ( ~ cnotAorB(X1)
    | ~ cAorB(X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,plain,
    ( cAorB(X1)
    | ~ rs(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_33])]) ).

cnf(c_0_55,plain,
    ( rs(X1,esk6_1(X1))
    | cnotAorB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_56,negated_conjecture,
    ( xsd_string(esk9_0)
    | cowlNothing(esk8_0)
    | ~ cB(esk10_0)
    | ~ cAorB(esk10_0)
    | ~ xsd_integer(esk9_0)
    | ~ cowlThing(esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_57,negated_conjecture,
    ( cowlNothing(esk8_0)
    | xsd_integer(esk9_0)
    | cA(esk10_0)
    | cAorB(esk10_0)
    | cB(esk10_0)
    | ~ xsd_string(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_33])]) ).

cnf(c_0_58,negated_conjecture,
    ( xsd_string(esk9_0)
    | ~ cnotAorB(esk10_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).

cnf(c_0_59,plain,
    ( cnotAorB(X1)
    | cAorB(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,plain,
    ( cB(X1)
    | ~ rr(X1,X2)
    | ~ cowlThing(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_61,negated_conjecture,
    ( xsd_string(esk9_0)
    | cowlNothing(esk8_0)
    | ~ cA(esk10_0)
    | ~ cAorB(esk10_0)
    | ~ xsd_integer(esk9_0)
    | ~ cowlThing(esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_62,negated_conjecture,
    ( xsd_integer(esk9_0)
    | cowlNothing(esk8_0)
    | ~ cB(esk10_0)
    | ~ cAorB(esk10_0)
    | ~ xsd_string(esk9_0)
    | ~ cowlThing(esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_63,negated_conjecture,
    ( cowlNothing(esk8_0)
    | xsd_string(esk9_0)
    | ~ xsd_integer(esk9_0)
    | ~ cAorB(esk10_0)
    | ~ cB(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_33])]) ).

cnf(c_0_64,negated_conjecture,
    ( xsd_integer(esk9_0)
    | cowlNothing(esk8_0)
    | ~ cA(esk10_0)
    | ~ cAorB(esk10_0)
    | ~ xsd_string(esk9_0)
    | ~ cowlThing(esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_65,negated_conjecture,
    ( cB(esk10_0)
    | cAorB(esk10_0)
    | cA(esk10_0)
    | xsd_integer(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_57,c_0_42]),c_0_43]) ).

cnf(c_0_66,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_67,negated_conjecture,
    ( cAorB(esk10_0)
    | xsd_string(esk9_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_68,plain,
    ( cB(X1)
    | ~ rr(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_33])]) ).

cnf(c_0_69,plain,
    ( rr(X1,esk7_1(X1))
    | cnotB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_70,plain,
    ( cA(X1)
    | ~ rq(X1,X2)
    | ~ cowlThing(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_71,negated_conjecture,
    ( cowlNothing(esk8_0)
    | xsd_string(esk9_0)
    | ~ xsd_integer(esk9_0)
    | ~ cA(esk10_0)
    | ~ cAorB(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_33])]) ).

cnf(c_0_72,negated_conjecture,
    ( cowlNothing(esk8_0)
    | xsd_integer(esk9_0)
    | ~ xsd_string(esk9_0)
    | ~ cAorB(esk10_0)
    | ~ cB(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_33])]) ).

cnf(c_0_73,negated_conjecture,
    ( xsd_string(esk9_0)
    | ~ cB(esk10_0)
    | ~ cAorB(esk10_0)
    | ~ xsd_integer(esk9_0) ),
    inference(sr,[status(thm)],[c_0_63,c_0_42]) ).

cnf(c_0_74,negated_conjecture,
    ( cowlNothing(esk8_0)
    | xsd_integer(esk9_0)
    | ~ xsd_string(esk9_0)
    | ~ cA(esk10_0)
    | ~ cAorB(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_33])]) ).

cnf(c_0_75,negated_conjecture,
    ( xsd_integer(esk9_0)
    | ~ cnotAorB(esk10_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_65]),c_0_52]),c_0_53]) ).

cnf(c_0_76,negated_conjecture,
    ( cAorB(esk10_0)
    | ~ xsd_integer(esk9_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_77,plain,
    ( cnotAorB(X1)
    | ~ cnotB(X1)
    | ~ cnotA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_78,plain,
    ( cnotB(X1)
    | cB(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_79,plain,
    ( cA(X1)
    | ~ rq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_33])]) ).

cnf(c_0_80,plain,
    ( rq(X1,esk5_1(X1))
    | cnotA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_81,negated_conjecture,
    ( xsd_string(esk9_0)
    | ~ cAorB(esk10_0)
    | ~ cA(esk10_0)
    | ~ xsd_integer(esk9_0) ),
    inference(sr,[status(thm)],[c_0_71,c_0_42]) ).

cnf(c_0_82,negated_conjecture,
    ( xsd_integer(esk9_0)
    | ~ cB(esk10_0)
    | ~ cAorB(esk10_0)
    | ~ xsd_string(esk9_0) ),
    inference(sr,[status(thm)],[c_0_72,c_0_42]) ).

cnf(c_0_83,negated_conjecture,
    ( xsd_string(esk9_0)
    | ~ cB(esk10_0)
    | ~ cAorB(esk10_0) ),
    inference(csr,[status(thm)],[c_0_73,c_0_43]) ).

cnf(c_0_84,negated_conjecture,
    ( xsd_integer(esk9_0)
    | ~ cAorB(esk10_0)
    | ~ cA(esk10_0)
    | ~ xsd_string(esk9_0) ),
    inference(sr,[status(thm)],[c_0_74,c_0_42]) ).

cnf(c_0_85,negated_conjecture,
    cAorB(esk10_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_59]),c_0_76]) ).

cnf(c_0_86,plain,
    ( cnotAorB(X1)
    | cB(X1)
    | ~ cnotA(X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_87,plain,
    ( cnotA(X1)
    | cA(X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_88,negated_conjecture,
    ( xsd_string(esk9_0)
    | ~ cAorB(esk10_0)
    | ~ cA(esk10_0) ),
    inference(csr,[status(thm)],[c_0_81,c_0_43]) ).

cnf(c_0_89,negated_conjecture,
    ( xsd_integer(esk9_0)
    | ~ cB(esk10_0)
    | ~ cAorB(esk10_0) ),
    inference(csr,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    ( xsd_integer(esk9_0)
    | ~ cAorB(esk10_0)
    | ~ cA(esk10_0) ),
    inference(csr,[status(thm)],[c_0_84,c_0_43]) ).

cnf(c_0_91,negated_conjecture,
    ( xsd_string(esk9_0)
    | ~ cB(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_85])]) ).

cnf(c_0_92,plain,
    ( cnotAorB(X1)
    | cB(X1)
    | cA(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    ( xsd_string(esk9_0)
    | ~ cA(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_85])]) ).

cnf(c_0_94,negated_conjecture,
    ( xsd_integer(esk9_0)
    | ~ cB(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_85])]) ).

cnf(c_0_95,negated_conjecture,
    ( xsd_integer(esk9_0)
    | ~ cA(esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_85])]) ).

cnf(c_0_96,negated_conjecture,
    xsd_string(esk9_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_58]) ).

cnf(c_0_97,negated_conjecture,
    xsd_integer(esk9_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_92]),c_0_95]),c_0_75]) ).

cnf(c_0_98,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_96]),c_0_97])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 01:51:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.011000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.013000 s
%------------------------------------------------------------------------------