↑ Up

ConnectPP---0.7.2.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : KRS124+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 08:47:19 AM UTC 2026

% Result   : Unsatisfiable 0.08s 0.41s
% Output   : Proof 0.08s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% 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] :
      ( cUnsatisfiable(X)
    <=> ( ! [Y] :
            ( rr(X,Y)
           => ca_Ax3(Y) )
        & ? [Y] :
            ( cowlThing(Y)
            & rr(X,Y) ) ) ),
    file('theBenchmark.p',axiom_2) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cc(X)
     => cdxcomp(X) ),
    file('theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X] :
      ( cc1(X)
     => cd1(X) ),
    file('theBenchmark.p',axiom_4) ).

fof(axiom_5,axiom,
    ! [X] :
      ( cc1(X)
     => cd1xcomp(X) ),
    file('theBenchmark.p',axiom_5) ).

fof(axiom_6,axiom,
    ! [X] :
      ( cd(X)
    <=> ~ ? [Y] : ra_Px1(X,Y) ),
    file('theBenchmark.p',axiom_6) ).

fof(axiom_7,axiom,
    ! [X] :
      ( cdxcomp(X)
    <=> ? [Y0] : ra_Px1(X,Y0) ),
    file('theBenchmark.p',axiom_7) ).

fof(axiom_8,axiom,
    ! [X] :
      ( cd1(X)
    <=> ? [Y0] : ra_Px2(X,Y0) ),
    file('theBenchmark.p',axiom_8) ).

fof(axiom_9,axiom,
    ! [X] :
      ( cd1xcomp(X)
    <=> ~ ? [Y] : ra_Px2(X,Y) ),
    file('theBenchmark.p',axiom_9) ).

fof(axiom_10,axiom,
    ! [X] :
      ( ce3(X)
     => cc(X) ),
    file('theBenchmark.p',axiom_10) ).

fof(axiom_11,axiom,
    ! [X] :
      ( cf(X)
     => cd(X) ),
    file('theBenchmark.p',axiom_11) ).

fof(axiom_12,axiom,
    ! [X] :
      ( ca_Ax3(X)
    <=> ( cc(X)
        & cd(X) ) ),
    file('theBenchmark.p',axiom_12) ).

fof(axiom_13,axiom,
    cUnsatisfiable(i2003_11_14_17_22_10903),
    file('theBenchmark.p',axiom_13) ).

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]) ).

fof(f_1_4,plain,
    ( ! [U_2] : ~ cowlNothing(U_2)
    & ! [U_1] : cowlThing(U_1) ),
    inference(definitional_conversion,[status(esa)],[f_1_3]) ).

cnf(f_1_5,plain,
    cowlThing(U_1),
    inference(clausify,[status(thm)],[f_1_4]) ).

cnf(f_1_6,plain,
    ~ cowlNothing(U_2),
    inference(clausify,[status(thm)],[f_1_4]) ).

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]) ).

fof(f_2_4,plain,
    ( ! [U_5] :
        ( xsd_string(U_5)
        | xsd_integer(U_5) )
    & ! [U_4] :
        ( ~ xsd_integer(U_4)
        | ~ xsd_string(U_4) ) ),
    inference(definitional_conversion,[status(esa)],[f_2_3]) ).

cnf(f_2_5,plain,
    ( ~ xsd_integer(U_4)
    | ~ xsd_string(U_4) ),
    inference(clausify,[status(thm)],[f_2_4]) ).

cnf(f_2_6,plain,
    ( xsd_string(U_5)
    | xsd_integer(U_5) ),
    inference(clausify,[status(thm)],[f_2_4]) ).

fof(f_3_1,plain,
    ! [X] :
      ( ( cUnsatisfiable(X)
        | ? [Y] :
            ( ~ ca_Ax3(Y)
            & rr(X,Y) )
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rr(X,Y) ) )
      & ( ( ! [Y] :
              ( ca_Ax3(Y)
              | ~ rr(X,Y) )
          & ? [Y] :
              ( cowlThing(Y)
              & rr(X,Y) ) )
        | ~ cUnsatisfiable(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_2]) ).

fof(f_3_2,plain,
    ! [U_10] :
      ( ( cUnsatisfiable(U_10)
        | ? [U_9] :
            ( ~ ca_Ax3(U_9)
            & rr(U_10,U_9) )
        | ! [U_8] :
            ( ~ cowlThing(U_8)
            | ~ rr(U_10,U_8) ) )
      & ( ( ! [U_7] :
              ( ca_Ax3(U_7)
              | ~ rr(U_10,U_7) )
          & ? [U_6] :
              ( cowlThing(U_6)
              & rr(U_10,U_6) ) )
        | ~ cUnsatisfiable(U_10) ) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ( ! [U_12] :
        ( cUnsatisfiable(U_12)
        | ? [U_9] :
            ( ~ ca_Ax3(U_9)
            & rr(U_12,U_9) )
        | ! [U_8] :
            ( ~ cowlThing(U_8)
            | ~ rr(U_12,U_8) ) )
    & ! [U_11] :
        ( ( ! [U_7] :
              ( ca_Ax3(U_7)
              | ~ rr(U_11,U_7) )
          & ? [U_6] :
              ( cowlThing(U_6)
              & rr(U_11,U_6) ) )
        | ~ cUnsatisfiable(U_11) ) ),
    inference(miniscope,[status(thm)],[f_3_2]) ).

fof(f_3_4,plain,
    ( ! [U_12] :
        ( cUnsatisfiable(U_12)
        | ? [U_9] :
            ( ~ ca_Ax3(U_9)
            & rr(U_12,U_9) )
        | ! [U_8] :
            ( ~ cowlThing(U_8)
            | ~ rr(U_12,U_8) ) )
    & ! [U_11] :
        ( ( ! [U_7] :
              ( ca_Ax3(U_7)
              | ~ rr(U_11,U_7) )
          & cowlThing(sK1(U_11))
          & rr(U_11,sK1(U_11)) )
        | ~ cUnsatisfiable(U_11) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_11))],[f_3_3]) ).

fof(f_3_5,plain,
    ( ! [U_12] :
        ( cUnsatisfiable(U_12)
        | ( ~ ca_Ax3(sK2(U_12))
          & rr(U_12,sK2(U_12)) )
        | ! [U_8] :
            ( ~ cowlThing(U_8)
            | ~ rr(U_12,U_8) ) )
    & ! [U_11] :
        ( ( ! [U_7] :
              ( ca_Ax3(U_7)
              | ~ rr(U_11,U_7) )
          & cowlThing(sK1(U_11))
          & rr(U_11,sK1(U_11)) )
        | ~ cUnsatisfiable(U_11) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_9,sK2(U_12))],[f_3_4]) ).

fof(f_3_6,plain,
    ( ! [U_12] :
        ( ~ ca_Ax3(sK2(U_12))
        | ~ sP1(U_12) )
    & ! [U_12] :
        ( rr(U_12,sK2(U_12))
        | ~ sP1(U_12) )
    & ! [U_7,U_11] :
        ( ca_Ax3(U_7)
        | ~ rr(U_11,U_7)
        | ~ sP0(U_7,U_11) )
    & ! [U_7,U_11] :
        ( cowlThing(sK1(U_11))
        | ~ sP0(U_7,U_11) )
    & ! [U_7,U_11] :
        ( rr(U_11,sK1(U_11))
        | ~ sP0(U_7,U_11) )
    & ! [U_8,U_12] :
        ( cUnsatisfiable(U_12)
        | sP1(U_12)
        | ~ cowlThing(U_8)
        | ~ rr(U_12,U_8) )
    & ! [U_7,U_11] :
        ( sP0(U_7,U_11)
        | ~ cUnsatisfiable(U_11) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_3_5]) ).

cnf(f_3_7,plain,
    ( sP0(U_7,U_11)
    | ~ cUnsatisfiable(U_11) ),
    inference(clausify,[status(thm)],[f_3_6]) ).

cnf(f_3_8,plain,
    ( cUnsatisfiable(U_12)
    | sP1(U_12)
    | ~ cowlThing(U_8)
    | ~ rr(U_12,U_8) ),
    inference(clausify,[status(thm)],[f_3_6]) ).

cnf(f_3_9,plain,
    ( rr(U_11,sK1(U_11))
    | ~ sP0(U_7,U_11) ),
    inference(clausify,[status(thm)],[f_3_6]) ).

cnf(f_3_10,plain,
    ( cowlThing(sK1(U_11))
    | ~ sP0(U_7,U_11) ),
    inference(clausify,[status(thm)],[f_3_6]) ).

cnf(f_3_11,plain,
    ( ca_Ax3(U_7)
    | ~ rr(U_11,U_7)
    | ~ sP0(U_7,U_11) ),
    inference(clausify,[status(thm)],[f_3_6]) ).

cnf(f_3_12,plain,
    ( rr(U_12,sK2(U_12))
    | ~ sP1(U_12) ),
    inference(clausify,[status(thm)],[f_3_6]) ).

cnf(f_3_13,plain,
    ( ~ ca_Ax3(sK2(U_12))
    | ~ sP1(U_12) ),
    inference(clausify,[status(thm)],[f_3_6]) ).

fof(f_4_1,plain,
    ! [X] :
      ( cdxcomp(X)
      | ~ cc(X) ),
    inference(fof_nnf,[status(thm)],[axiom_3]) ).

fof(f_4_2,plain,
    ! [U_13] :
      ( cdxcomp(U_13)
      | ~ cc(U_13) ),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

fof(f_4_3,plain,
    ! [U_13] :
      ( cdxcomp(U_13)
      | ~ cc(U_13) ),
    inference(definitional_conversion,[status(esa)],[f_4_2]) ).

cnf(f_4_4,plain,
    ( cdxcomp(U_13)
    | ~ cc(U_13) ),
    inference(clausify,[status(thm)],[f_4_3]) ).

fof(f_5_1,plain,
    ! [X] :
      ( cd1(X)
      | ~ cc1(X) ),
    inference(fof_nnf,[status(thm)],[axiom_4]) ).

fof(f_5_2,plain,
    ! [U_14] :
      ( cd1(U_14)
      | ~ cc1(U_14) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

fof(f_5_3,plain,
    ! [U_14] :
      ( cd1(U_14)
      | ~ cc1(U_14) ),
    inference(definitional_conversion,[status(esa)],[f_5_2]) ).

cnf(f_5_4,plain,
    ( cd1(U_14)
    | ~ cc1(U_14) ),
    inference(clausify,[status(thm)],[f_5_3]) ).

fof(f_6_1,plain,
    ! [X] :
      ( cd1xcomp(X)
      | ~ cc1(X) ),
    inference(fof_nnf,[status(thm)],[axiom_5]) ).

fof(f_6_2,plain,
    ! [U_15] :
      ( cd1xcomp(U_15)
      | ~ cc1(U_15) ),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

fof(f_6_3,plain,
    ! [U_15] :
      ( cd1xcomp(U_15)
      | ~ cc1(U_15) ),
    inference(definitional_conversion,[status(esa)],[f_6_2]) ).

cnf(f_6_4,plain,
    ( cd1xcomp(U_15)
    | ~ cc1(U_15) ),
    inference(clausify,[status(thm)],[f_6_3]) ).

fof(f_7_1,plain,
    ! [X] :
      ( ( cd(X)
        | ? [Y] : ra_Px1(X,Y) )
      & ( ! [Y] : ~ ra_Px1(X,Y)
        | ~ cd(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_6]) ).

fof(f_7_2,plain,
    ! [U_18] :
      ( ( cd(U_18)
        | ? [U_17] : ra_Px1(U_18,U_17) )
      & ( ! [U_16] : ~ ra_Px1(U_18,U_16)
        | ~ cd(U_18) ) ),
    inference(variable_rename,[status(thm)],[f_7_1]) ).

fof(f_7_3,plain,
    ( ! [U_20] :
        ( cd(U_20)
        | ? [U_17] : ra_Px1(U_20,U_17) )
    & ! [U_19] :
        ( ! [U_16] : ~ ra_Px1(U_19,U_16)
        | ~ cd(U_19) ) ),
    inference(miniscope,[status(thm)],[f_7_2]) ).

fof(f_7_4,plain,
    ( ! [U_20] :
        ( cd(U_20)
        | ra_Px1(U_20,sK3(U_20)) )
    & ! [U_19] :
        ( ! [U_16] : ~ ra_Px1(U_19,U_16)
        | ~ cd(U_19) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_17,sK3(U_20))],[f_7_3]) ).

fof(f_7_5,plain,
    ( ! [U_20] :
        ( cd(U_20)
        | ra_Px1(U_20,sK3(U_20)) )
    & ! [U_16,U_19] :
        ( ~ ra_Px1(U_19,U_16)
        | ~ cd(U_19) ) ),
    inference(definitional_conversion,[status(esa)],[f_7_4]) ).

cnf(f_7_6,plain,
    ( ~ ra_Px1(U_19,U_16)
    | ~ cd(U_19) ),
    inference(clausify,[status(thm)],[f_7_5]) ).

cnf(f_7_7,plain,
    ( cd(U_20)
    | ra_Px1(U_20,sK3(U_20)) ),
    inference(clausify,[status(thm)],[f_7_5]) ).

fof(f_8_1,plain,
    ! [X] :
      ( ( cdxcomp(X)
        | ! [Y0] : ~ ra_Px1(X,Y0) )
      & ( ? [Y0] : ra_Px1(X,Y0)
        | ~ cdxcomp(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_7]) ).

fof(f_8_2,plain,
    ! [U_23] :
      ( ( cdxcomp(U_23)
        | ! [U_22] : ~ ra_Px1(U_23,U_22) )
      & ( ? [U_21] : ra_Px1(U_23,U_21)
        | ~ cdxcomp(U_23) ) ),
    inference(variable_rename,[status(thm)],[f_8_1]) ).

fof(f_8_3,plain,
    ( ! [U_25] :
        ( cdxcomp(U_25)
        | ! [U_22] : ~ ra_Px1(U_25,U_22) )
    & ! [U_24] :
        ( ? [U_21] : ra_Px1(U_24,U_21)
        | ~ cdxcomp(U_24) ) ),
    inference(miniscope,[status(thm)],[f_8_2]) ).

fof(f_8_4,plain,
    ( ! [U_25] :
        ( cdxcomp(U_25)
        | ! [U_22] : ~ ra_Px1(U_25,U_22) )
    & ! [U_24] :
        ( ra_Px1(U_24,sK4(U_24))
        | ~ cdxcomp(U_24) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_21,sK4(U_24))],[f_8_3]) ).

fof(f_8_5,plain,
    ( ! [U_22,U_25] :
        ( cdxcomp(U_25)
        | ~ ra_Px1(U_25,U_22) )
    & ! [U_24] :
        ( ra_Px1(U_24,sK4(U_24))
        | ~ cdxcomp(U_24) ) ),
    inference(definitional_conversion,[status(esa)],[f_8_4]) ).

cnf(f_8_6,plain,
    ( ra_Px1(U_24,sK4(U_24))
    | ~ cdxcomp(U_24) ),
    inference(clausify,[status(thm)],[f_8_5]) ).

cnf(f_8_7,plain,
    ( cdxcomp(U_25)
    | ~ ra_Px1(U_25,U_22) ),
    inference(clausify,[status(thm)],[f_8_5]) ).

fof(f_9_1,plain,
    ! [X] :
      ( ( cd1(X)
        | ! [Y0] : ~ ra_Px2(X,Y0) )
      & ( ? [Y0] : ra_Px2(X,Y0)
        | ~ cd1(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_8]) ).

fof(f_9_2,plain,
    ! [U_28] :
      ( ( cd1(U_28)
        | ! [U_27] : ~ ra_Px2(U_28,U_27) )
      & ( ? [U_26] : ra_Px2(U_28,U_26)
        | ~ cd1(U_28) ) ),
    inference(variable_rename,[status(thm)],[f_9_1]) ).

fof(f_9_3,plain,
    ( ! [U_30] :
        ( cd1(U_30)
        | ! [U_27] : ~ ra_Px2(U_30,U_27) )
    & ! [U_29] :
        ( ? [U_26] : ra_Px2(U_29,U_26)
        | ~ cd1(U_29) ) ),
    inference(miniscope,[status(thm)],[f_9_2]) ).

fof(f_9_4,plain,
    ( ! [U_30] :
        ( cd1(U_30)
        | ! [U_27] : ~ ra_Px2(U_30,U_27) )
    & ! [U_29] :
        ( ra_Px2(U_29,sK5(U_29))
        | ~ cd1(U_29) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_26,sK5(U_29))],[f_9_3]) ).

fof(f_9_5,plain,
    ( ! [U_30,U_27] :
        ( cd1(U_30)
        | ~ ra_Px2(U_30,U_27) )
    & ! [U_29] :
        ( ra_Px2(U_29,sK5(U_29))
        | ~ cd1(U_29) ) ),
    inference(definitional_conversion,[status(esa)],[f_9_4]) ).

cnf(f_9_6,plain,
    ( ra_Px2(U_29,sK5(U_29))
    | ~ cd1(U_29) ),
    inference(clausify,[status(thm)],[f_9_5]) ).

cnf(f_9_7,plain,
    ( cd1(U_30)
    | ~ ra_Px2(U_30,U_27) ),
    inference(clausify,[status(thm)],[f_9_5]) ).

fof(f_10_1,plain,
    ! [X] :
      ( ( cd1xcomp(X)
        | ? [Y] : ra_Px2(X,Y) )
      & ( ! [Y] : ~ ra_Px2(X,Y)
        | ~ cd1xcomp(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_9]) ).

fof(f_10_2,plain,
    ! [U_33] :
      ( ( cd1xcomp(U_33)
        | ? [U_32] : ra_Px2(U_33,U_32) )
      & ( ! [U_31] : ~ ra_Px2(U_33,U_31)
        | ~ cd1xcomp(U_33) ) ),
    inference(variable_rename,[status(thm)],[f_10_1]) ).

fof(f_10_3,plain,
    ( ! [U_35] :
        ( cd1xcomp(U_35)
        | ? [U_32] : ra_Px2(U_35,U_32) )
    & ! [U_34] :
        ( ! [U_31] : ~ ra_Px2(U_34,U_31)
        | ~ cd1xcomp(U_34) ) ),
    inference(miniscope,[status(thm)],[f_10_2]) ).

fof(f_10_4,plain,
    ( ! [U_35] :
        ( cd1xcomp(U_35)
        | ra_Px2(U_35,sK6(U_35)) )
    & ! [U_34] :
        ( ! [U_31] : ~ ra_Px2(U_34,U_31)
        | ~ cd1xcomp(U_34) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_32,sK6(U_35))],[f_10_3]) ).

fof(f_10_5,plain,
    ( ! [U_35] :
        ( cd1xcomp(U_35)
        | ra_Px2(U_35,sK6(U_35)) )
    & ! [U_31,U_34] :
        ( ~ ra_Px2(U_34,U_31)
        | ~ cd1xcomp(U_34) ) ),
    inference(definitional_conversion,[status(esa)],[f_10_4]) ).

cnf(f_10_6,plain,
    ( ~ ra_Px2(U_34,U_31)
    | ~ cd1xcomp(U_34) ),
    inference(clausify,[status(thm)],[f_10_5]) ).

cnf(f_10_7,plain,
    ( cd1xcomp(U_35)
    | ra_Px2(U_35,sK6(U_35)) ),
    inference(clausify,[status(thm)],[f_10_5]) ).

fof(f_11_1,plain,
    ! [X] :
      ( cc(X)
      | ~ ce3(X) ),
    inference(fof_nnf,[status(thm)],[axiom_10]) ).

fof(f_11_2,plain,
    ! [U_36] :
      ( cc(U_36)
      | ~ ce3(U_36) ),
    inference(variable_rename,[status(thm)],[f_11_1]) ).

fof(f_11_3,plain,
    ! [U_36] :
      ( cc(U_36)
      | ~ ce3(U_36) ),
    inference(definitional_conversion,[status(esa)],[f_11_2]) ).

cnf(f_11_4,plain,
    ( cc(U_36)
    | ~ ce3(U_36) ),
    inference(clausify,[status(thm)],[f_11_3]) ).

fof(f_12_1,plain,
    ! [X] :
      ( cd(X)
      | ~ cf(X) ),
    inference(fof_nnf,[status(thm)],[axiom_11]) ).

fof(f_12_2,plain,
    ! [U_37] :
      ( cd(U_37)
      | ~ cf(U_37) ),
    inference(variable_rename,[status(thm)],[f_12_1]) ).

fof(f_12_3,plain,
    ! [U_37] :
      ( cd(U_37)
      | ~ cf(U_37) ),
    inference(definitional_conversion,[status(esa)],[f_12_2]) ).

cnf(f_12_4,plain,
    ( cd(U_37)
    | ~ cf(U_37) ),
    inference(clausify,[status(thm)],[f_12_3]) ).

fof(f_13_1,plain,
    ! [X] :
      ( ( ca_Ax3(X)
        | ~ cc(X)
        | ~ cd(X) )
      & ( ( cc(X)
          & cd(X) )
        | ~ ca_Ax3(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_12]) ).

fof(f_13_2,plain,
    ! [U_38] :
      ( ( ca_Ax3(U_38)
        | ~ cc(U_38)
        | ~ cd(U_38) )
      & ( ( cc(U_38)
          & cd(U_38) )
        | ~ ca_Ax3(U_38) ) ),
    inference(variable_rename,[status(thm)],[f_13_1]) ).

fof(f_13_3,plain,
    ( ! [U_40] :
        ( ca_Ax3(U_40)
        | ~ cc(U_40)
        | ~ cd(U_40) )
    & ! [U_39] :
        ( ( cc(U_39)
          & cd(U_39) )
        | ~ ca_Ax3(U_39) ) ),
    inference(miniscope,[status(thm)],[f_13_2]) ).

fof(f_13_4,plain,
    ( ! [U_39] :
        ( cc(U_39)
        | ~ sP2(U_39) )
    & ! [U_39] :
        ( cd(U_39)
        | ~ sP2(U_39) )
    & ! [U_40] :
        ( ca_Ax3(U_40)
        | ~ cc(U_40)
        | ~ cd(U_40) )
    & ! [U_39] :
        ( sP2(U_39)
        | ~ ca_Ax3(U_39) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_13_3]) ).

cnf(f_13_5,plain,
    ( sP2(U_39)
    | ~ ca_Ax3(U_39) ),
    inference(clausify,[status(thm)],[f_13_4]) ).

cnf(f_13_6,plain,
    ( ca_Ax3(U_40)
    | ~ cc(U_40)
    | ~ cd(U_40) ),
    inference(clausify,[status(thm)],[f_13_4]) ).

cnf(f_13_7,plain,
    ( cd(U_39)
    | ~ sP2(U_39) ),
    inference(clausify,[status(thm)],[f_13_4]) ).

cnf(f_13_8,plain,
    ( cc(U_39)
    | ~ sP2(U_39) ),
    inference(clausify,[status(thm)],[f_13_4]) ).

fof(f_14_1,plain,
    cUnsatisfiable(i2003_11_14_17_22_10903),
    inference(fof_nnf,[status(thm)],[axiom_13]) ).

fof(f_14_2,plain,
    cUnsatisfiable(i2003_11_14_17_22_10903),
    inference(definitional_conversion,[status(esa)],[f_14_1]) ).

cnf(f_14_3,plain,
    cUnsatisfiable(i2003_11_14_17_22_10903),
    inference(clausify,[status(thm)],[f_14_2]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS124+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n009.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sat Sep 19 12:13:12 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.41  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------