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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : KRS131+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 08:47:20 AM UTC 2026

% Result   : Theorem 0.10s 0.43s
% Output   : Proof 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :  100 (  29 unt;   0 def)
%            Number of atoms       :  323 (   0 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  379 ( 156   ~; 139   |;  74   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-1 aty)
%            Number of variables   :   99 (   3 sgn  48   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('theBenchmark.p',axiom_1) ).

fof(axiom_2,axiom,
    ! [X] :
      ( cA(X)
    <=> ? [Y] :
          ( cowlThing(Y)
          & rq(X,Y) ) ),
    file('theBenchmark.p',axiom_2) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cNothing(X)
     => ~ ? [Y] : rp(X,Y) ),
    file('theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X] :
      ( cNothing(X)
     => ? [Y0] : rp(X,Y0) ),
    file('theBenchmark.p',axiom_4) ).

fof(axiom_5,axiom,
    ! [X] :
      ( cnotA(X)
    <=> ! [Y] :
          ( rq(X,Y)
         => cNothing(Y) ) ),
    file('theBenchmark.p',axiom_5) ).

fof(the_axiom,conjecture,
    ( ! [X] :
        ( cnotA(X)
      <=> ~ cA(X) )
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('theBenchmark.p',the_axiom) ).

fof(f_1_1,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(fof_nnf,[status(thm)],[axiom_0]) ).

fof(f_1_2,plain,
    ! [U_0] :
      ( ~ cowlNothing(U_0)
      & cowlThing(U_0) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_2] : ~ cowlNothing(U_2)
    & ! [U_1] : cowlThing(U_1) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

cnf(f_1_4,plain,
    cowlThing(U_1),
    inference(clausify,[status(thm)],[f_1_3]) ).

cnf(f_1_5,plain,
    ~ cowlNothing(U_2),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ! [X] :
      ( ( xsd_string(X)
        | xsd_integer(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_1]) ).

fof(f_2_2,plain,
    ! [U_3] :
      ( ( xsd_string(U_3)
        | xsd_integer(U_3) )
      & ( ~ xsd_integer(U_3)
        | ~ xsd_string(U_3) ) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    ( ! [U_5] :
        ( xsd_string(U_5)
        | xsd_integer(U_5) )
    & ! [U_4] :
        ( ~ xsd_integer(U_4)
        | ~ xsd_string(U_4) ) ),
    inference(miniscope,[status(thm)],[f_2_2]) ).

cnf(f_2_4,plain,
    ( ~ xsd_integer(U_4)
    | ~ xsd_string(U_4) ),
    inference(clausify,[status(thm)],[f_2_3]) ).

cnf(f_2_5,plain,
    ( xsd_string(U_5)
    | xsd_integer(U_5) ),
    inference(clausify,[status(thm)],[f_2_3]) ).

fof(f_3_1,plain,
    ! [X] :
      ( ( cA(X)
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rq(X,Y) ) )
      & ( ? [Y] :
            ( cowlThing(Y)
            & rq(X,Y) )
        | ~ cA(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_2]) ).

fof(f_3_2,plain,
    ! [U_8] :
      ( ( cA(U_8)
        | ! [U_7] :
            ( ~ cowlThing(U_7)
            | ~ rq(U_8,U_7) ) )
      & ( ? [U_6] :
            ( cowlThing(U_6)
            & rq(U_8,U_6) )
        | ~ cA(U_8) ) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ( ! [U_10] :
        ( cA(U_10)
        | ! [U_7] :
            ( ~ cowlThing(U_7)
            | ~ rq(U_10,U_7) ) )
    & ! [U_9] :
        ( ? [U_6] :
            ( cowlThing(U_6)
            & rq(U_9,U_6) )
        | ~ cA(U_9) ) ),
    inference(miniscope,[status(thm)],[f_3_2]) ).

fof(f_3_4,plain,
    ( ! [U_10] :
        ( cA(U_10)
        | ! [U_7] :
            ( ~ cowlThing(U_7)
            | ~ rq(U_10,U_7) ) )
    & ! [U_9] :
        ( ( cowlThing(sK1(U_9))
          & rq(U_9,sK1(U_9)) )
        | ~ cA(U_9) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_9))],[f_3_3]) ).

cnf(f_3_5,plain,
    ( rq(U_9,sK1(U_9))
    | ~ cA(U_9) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_7,plain,
    ( cA(U_10)
    | ~ cowlThing(U_7)
    | ~ rq(U_10,U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

fof(f_4_1,plain,
    ! [X] :
      ( ! [Y] : ~ rp(X,Y)
      | ~ cNothing(X) ),
    inference(fof_nnf,[status(thm)],[axiom_3]) ).

fof(f_4_2,plain,
    ! [U_12] :
      ( ! [U_11] : ~ rp(U_12,U_11)
      | ~ cNothing(U_12) ),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

cnf(f_4_3,plain,
    ( ~ rp(U_12,U_11)
    | ~ cNothing(U_12) ),
    inference(clausify,[status(thm)],[f_4_2]) ).

fof(f_5_1,plain,
    ! [X] :
      ( ? [Y0] : rp(X,Y0)
      | ~ cNothing(X) ),
    inference(fof_nnf,[status(thm)],[axiom_4]) ).

fof(f_5_2,plain,
    ! [U_14] :
      ( ? [U_13] : rp(U_14,U_13)
      | ~ cNothing(U_14) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

fof(f_5_3,plain,
    ! [U_14] :
      ( rp(U_14,sK2(U_14))
      | ~ cNothing(U_14) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_13,sK2(U_14))],[f_5_2]) ).

cnf(f_5_4,plain,
    ( rp(U_14,sK2(U_14))
    | ~ cNothing(U_14) ),
    inference(clausify,[status(thm)],[f_5_3]) ).

fof(f_6_1,plain,
    ! [X] :
      ( ( cnotA(X)
        | ? [Y] :
            ( ~ cNothing(Y)
            & rq(X,Y) ) )
      & ( ! [Y] :
            ( cNothing(Y)
            | ~ rq(X,Y) )
        | ~ cnotA(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_5]) ).

fof(f_6_2,plain,
    ! [U_17] :
      ( ( cnotA(U_17)
        | ? [U_16] :
            ( ~ cNothing(U_16)
            & rq(U_17,U_16) ) )
      & ( ! [U_15] :
            ( cNothing(U_15)
            | ~ rq(U_17,U_15) )
        | ~ cnotA(U_17) ) ),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

fof(f_6_3,plain,
    ( ! [U_19] :
        ( cnotA(U_19)
        | ? [U_16] :
            ( ~ cNothing(U_16)
            & rq(U_19,U_16) ) )
    & ! [U_18] :
        ( ! [U_15] :
            ( cNothing(U_15)
            | ~ rq(U_18,U_15) )
        | ~ cnotA(U_18) ) ),
    inference(miniscope,[status(thm)],[f_6_2]) ).

fof(f_6_4,plain,
    ( ! [U_19] :
        ( cnotA(U_19)
        | ( ~ cNothing(sK3(U_19))
          & rq(U_19,sK3(U_19)) ) )
    & ! [U_18] :
        ( ! [U_15] :
            ( cNothing(U_15)
            | ~ rq(U_18,U_15) )
        | ~ cnotA(U_18) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_16,sK3(U_19))],[f_6_3]) ).

cnf(f_6_5,plain,
    ( cNothing(U_15)
    | ~ rq(U_18,U_15)
    | ~ cnotA(U_18) ),
    inference(clausify,[status(thm)],[f_6_4]) ).

cnf(f_6_6,plain,
    ( rq(U_19,sK3(U_19))
    | cnotA(U_19) ),
    inference(clausify,[status(thm)],[f_6_4]) ).

fof(f_7_1,negated_conjecture,
    ~ ( ! [X] :
          ( cnotA(X)
        <=> ~ cA(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(negate,[status(cth)],[the_axiom]) ).

fof(f_7_2,negated_conjecture,
    ( ? [X] :
        ( ( ~ cnotA(X)
          & ~ cA(X) )
        | ( cA(X)
          & cnotA(X) ) )
    | ? [X] :
        ( ( ~ xsd_string(X)
          & ~ xsd_integer(X) )
        | ( xsd_integer(X)
          & xsd_string(X) ) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(fof_nnf,[status(thm)],[f_7_1]) ).

fof(f_7_3,negated_conjecture,
    ( ? [U_22] :
        ( ( ~ cnotA(U_22)
          & ~ cA(U_22) )
        | ( cA(U_22)
          & cnotA(U_22) ) )
    | ? [U_21] :
        ( ( ~ xsd_string(U_21)
          & ~ xsd_integer(U_21) )
        | ( xsd_integer(U_21)
          & xsd_string(U_21) ) )
    | ? [U_20] :
        ( cowlNothing(U_20)
        | ~ cowlThing(U_20) ) ),
    inference(variable_rename,[status(thm)],[f_7_2]) ).

fof(f_7_4,negated_conjecture,
    ( ? [U_28] :
        ( ~ cnotA(U_28)
        & ~ cA(U_28) )
    | ? [U_27] :
        ( cA(U_27)
        & cnotA(U_27) )
    | ? [U_26] :
        ( ~ xsd_string(U_26)
        & ~ xsd_integer(U_26) )
    | ? [U_25] :
        ( xsd_integer(U_25)
        & xsd_string(U_25) )
    | ? [U_24] : cowlNothing(U_24)
    | ? [U_23] : ~ cowlThing(U_23) ),
    inference(miniscope,[status(thm)],[f_7_3]) ).

fof(f_7_5,negated_conjecture,
    ( ? [U_28] :
        ( ~ cnotA(U_28)
        & ~ cA(U_28) )
    | ? [U_27] :
        ( cA(U_27)
        & cnotA(U_27) )
    | ? [U_26] :
        ( ~ xsd_string(U_26)
        & ~ xsd_integer(U_26) )
    | ? [U_25] :
        ( xsd_integer(U_25)
        & xsd_string(U_25) )
    | ? [U_24] : cowlNothing(U_24)
    | ~ cowlThing(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_23,sK4)],[f_7_4]) ).

fof(f_7_6,negated_conjecture,
    ( ? [U_28] :
        ( ~ cnotA(U_28)
        & ~ cA(U_28) )
    | ? [U_27] :
        ( cA(U_27)
        & cnotA(U_27) )
    | ? [U_26] :
        ( ~ xsd_string(U_26)
        & ~ xsd_integer(U_26) )
    | ? [U_25] :
        ( xsd_integer(U_25)
        & xsd_string(U_25) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_24,sK5)],[f_7_5]) ).

fof(f_7_7,negated_conjecture,
    ( ? [U_28] :
        ( ~ cnotA(U_28)
        & ~ cA(U_28) )
    | ? [U_27] :
        ( cA(U_27)
        & cnotA(U_27) )
    | ? [U_26] :
        ( ~ xsd_string(U_26)
        & ~ xsd_integer(U_26) )
    | ( xsd_integer(sK6)
      & xsd_string(sK6) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_25,sK6)],[f_7_6]) ).

fof(f_7_8,negated_conjecture,
    ( ? [U_28] :
        ( ~ cnotA(U_28)
        & ~ cA(U_28) )
    | ? [U_27] :
        ( cA(U_27)
        & cnotA(U_27) )
    | ( ~ xsd_string(sK7)
      & ~ xsd_integer(sK7) )
    | ( xsd_integer(sK6)
      & xsd_string(sK6) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_26,sK7)],[f_7_7]) ).

fof(f_7_9,negated_conjecture,
    ( ? [U_28] :
        ( ~ cnotA(U_28)
        & ~ cA(U_28) )
    | ( cA(sK8)
      & cnotA(sK8) )
    | ( ~ xsd_string(sK7)
      & ~ xsd_integer(sK7) )
    | ( xsd_integer(sK6)
      & xsd_string(sK6) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_27,sK8)],[f_7_8]) ).

fof(f_7_10,negated_conjecture,
    ( ( ~ cnotA(sK9)
      & ~ cA(sK9) )
    | ( cA(sK8)
      & cnotA(sK8) )
    | ( ~ xsd_string(sK7)
      & ~ xsd_integer(sK7) )
    | ( xsd_integer(sK6)
      & xsd_string(sK6) )
    | cowlNothing(sK5)
    | ~ cowlThing(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_28,sK9)],[f_7_9]) ).

fof(f_7_11,negated_conjecture,
    ( ( ~ cnotA(sK9)
      | ~ sP3 )
    & ( ~ cA(sK9)
      | ~ sP3 )
    & ( cA(sK8)
      | ~ sP2 )
    & ( cnotA(sK8)
      | ~ sP2 )
    & ( ~ xsd_string(sK7)
      | ~ sP1 )
    & ( ~ xsd_integer(sK7)
      | ~ sP1 )
    & ( xsd_integer(sK6)
      | ~ sP0 )
    & ( xsd_string(sK6)
      | ~ sP0 )
    & ( sP3
      | sP2
      | sP1
      | sP0
      | cowlNothing(sK5)
      | ~ cowlThing(sK4) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_7_10]) ).

cnf(f_7_12,negated_conjecture,
    ( sP3
    | sP2
    | sP1
    | sP0
    | cowlNothing(sK5)
    | ~ cowlThing(sK4) ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_13,negated_conjecture,
    ( xsd_string(sK6)
    | ~ sP0 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_14,negated_conjecture,
    ( xsd_integer(sK6)
    | ~ sP0 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_15,negated_conjecture,
    ( ~ xsd_integer(sK7)
    | ~ sP1 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_16,negated_conjecture,
    ( ~ xsd_string(sK7)
    | ~ sP1 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_17,negated_conjecture,
    ( cnotA(sK8)
    | ~ sP2 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_18,negated_conjecture,
    ( cA(sK8)
    | ~ sP2 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_19,negated_conjecture,
    ( ~ cA(sK9)
    | ~ sP3 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(f_7_20,negated_conjecture,
    ( ~ cnotA(sK9)
    | ~ sP3 ),
    inference(clausify,[status(thm)],[f_7_11]) ).

cnf(t1,plain,
    ~ cowlNothing(sK5),
    inference(start,[status(thm),parent(0:0)],[f_1_5]) ).

cnf(t2,plain,
    ( sP3
    | sP0
    | sP1
    | sP2
    | ~ cowlThing(sK4)
    | cowlNothing(sK5) ),
    inference(extension,[status(thm),parent(t1:1)],[f_7_12]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    cowlThing(sK4),
    inference(extension,[status(thm),parent(t2:2)],[f_1_4]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    ( cnotA(sK8)
    | ~ sP2 ),
    inference(extension,[status(thm),parent(t2:3)],[f_7_17]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).

cnf(t8,plain,
    ( ~ rq(sK8,sK1(sK8))
    | cNothing(sK1(sK8))
    | ~ cnotA(sK8) ),
    inference(extension,[status(thm),parent(t6:2)],[f_6_5]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    ( rp(sK1(sK8),sK2(sK1(sK8)))
    | ~ cNothing(sK1(sK8)) ),
    inference(extension,[status(thm),parent(t8:2)],[f_5_4]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    ( ~ cNothing(sK1(sK8))
    | ~ rp(sK1(sK8),sK2(sK1(sK8))) ),
    inference(extension,[status(thm),parent(t10:2)],[f_4_3]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).

cnf(t14,plain,
    $false,
    inference(reduction,[status(thm),parent(t12:2)],[t12:2,t8:2]) ).

cnf(t15,plain,
    ( ~ cA(sK8)
    | rq(sK8,sK1(sK8)) ),
    inference(extension,[status(thm),parent(t8:3)],[f_3_5]) ).

cnf(t16,plain,
    $false,
    inference(connection,[status(thm),parent(t15:1)],[t15:1,t8:3]) ).

cnf(t17,plain,
    ( ~ sP2
    | cA(sK8) ),
    inference(extension,[status(thm),parent(t15:2)],[f_7_18]) ).

cnf(t18,plain,
    $false,
    inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).

cnf(t19,plain,
    $false,
    inference(reduction,[status(thm),parent(t17:2)],[t17:2,t2:3]) ).

cnf(t20,plain,
    ( ~ xsd_string(sK7)
    | ~ sP1 ),
    inference(extension,[status(thm),parent(t2:4)],[f_7_16]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:4]) ).

cnf(t22,plain,
    ( xsd_integer(sK7)
    | xsd_string(sK7) ),
    inference(extension,[status(thm),parent(t20:2)],[f_2_5]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).

cnf(t24,plain,
    ( ~ sP1
    | ~ xsd_integer(sK7) ),
    inference(extension,[status(thm),parent(t22:2)],[f_7_15]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).

cnf(t26,plain,
    $false,
    inference(reduction,[status(thm),parent(t24:2)],[t24:2,t2:4]) ).

cnf(t27,plain,
    ( xsd_integer(sK6)
    | ~ sP0 ),
    inference(extension,[status(thm),parent(t2:5)],[f_7_14]) ).

cnf(t28,plain,
    $false,
    inference(connection,[status(thm),parent(t27:1)],[t27:1,t2:5]) ).

cnf(t29,plain,
    ( ~ xsd_string(sK6)
    | ~ xsd_integer(sK6) ),
    inference(extension,[status(thm),parent(t27:2)],[f_2_4]) ).

cnf(t30,plain,
    $false,
    inference(connection,[status(thm),parent(t29:1)],[t29:1,t27:2]) ).

cnf(t31,plain,
    ( ~ sP0
    | xsd_string(sK6) ),
    inference(extension,[status(thm),parent(t29:2)],[f_7_13]) ).

cnf(t32,plain,
    $false,
    inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).

cnf(t33,plain,
    $false,
    inference(reduction,[status(thm),parent(t31:2)],[t31:2,t2:5]) ).

cnf(t34,plain,
    ( ~ cnotA(sK9)
    | ~ sP3 ),
    inference(extension,[status(thm),parent(t2:6)],[f_7_20]) ).

cnf(t35,plain,
    $false,
    inference(connection,[status(thm),parent(t34:1)],[t34:1,t2:6]) ).

cnf(t36,plain,
    ( rq(sK9,sK3(sK9))
    | cnotA(sK9) ),
    inference(extension,[status(thm),parent(t34:2)],[f_6_6]) ).

cnf(t37,plain,
    $false,
    inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).

cnf(t38,plain,
    ( ~ cowlThing(sK3(sK9))
    | cA(sK9)
    | ~ rq(sK9,sK3(sK9)) ),
    inference(extension,[status(thm),parent(t36:2)],[f_3_7]) ).

cnf(t39,plain,
    $false,
    inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).

cnf(t40,plain,
    ( ~ sP3
    | ~ cA(sK9) ),
    inference(extension,[status(thm),parent(t38:2)],[f_7_19]) ).

cnf(t41,plain,
    $false,
    inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).

cnf(t42,plain,
    $false,
    inference(reduction,[status(thm),parent(t40:2)],[t40:2,t2:6]) ).

cnf(t43,plain,
    cowlThing(sK3(sK9)),
    inference(extension,[status(thm),parent(t38:3)],[f_1_4]) ).

cnf(t44,plain,
    $false,
    inference(connection,[status(thm),parent(t43:1)],[t43:1,t38:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS131+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n026.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sat Sep 19 12:18:22 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.43  % SZS status Theorem for theBenchmark
% 0.10/0.43  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------