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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KRS108+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n008.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 : Fri Sep 25 01:53:04 PM UTC 2026

% Result   : Unsatisfiable 6.76s 1.36s
% Output   : Proof 6.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  100 (  33 unt;   0 def)
%            Number of atoms       :  270 (  38 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  290 ( 120   ~;  98   |;  56   &)
%                                         (  13 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   29 (  27 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   3 con; 0-4 aty)
%            Number of variables   :  150 (   9 sgn  80   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( cp2(X)
        & ? [Y] :
            ( ca_Ax14(Y)
            & rinvR(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f41_nnf,plain,
    ! [X] :
      ( ( ~ cp2(X)
        | ! [Y] :
            ( ~ ca_Ax14(Y)
            | ~ rinvR(X,Y) )
        | cUnsatisfiable(X) )
      & ( ( cp2(X)
          & ? [Y] :
              ( ca_Ax14(Y)
              & rinvR(X,Y) ) )
        | ~ cUnsatisfiable(X) ) ),
    inference(nnf_transformation,[status(thm)],[f41]) ).

fof(f41_sk,plain,
    ! [X,Y] :
      ( ( ~ cp2(X)
        | ~ ca_Ax14(Y)
        | ~ rinvR(X,Y)
        | cUnsatisfiable(X) )
      & ( ( cp2(X)
          & ca_Ax14(sk0(X))
          & rinvR(X,sk0(X)) )
        | ~ cUnsatisfiable(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f41_nnf]) ).

cnf(c45,plain,
    ( cp2(X0)
    | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[status(esa)],[f41_sk]) ).

cnf(hi44,axiom,
    ifeq(cUnsatisfiable(X0),true,cp2(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c45]) ).

fof(f65,axiom,
    cUnsatisfiable(i2003_11_14_17_21_04740),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f65_nnf,plain,
    cUnsatisfiable(i2003_11_14_17_21_04740),
    inference(nnf_transformation,[status(thm)],[f65]) ).

cnf(c99,plain,
    cUnsatisfiable(i2003_11_14_17_21_04740),
    inference(cnf_transformation,[status(esa)],[f65_nnf]) ).

cnf(hi91,axiom,
    cUnsatisfiable(i2003_11_14_17_21_04740) = true,
    inference(equality_encoding,[status(esa)],[c99]) ).

cnf(h0,plain,
    cp2(i2003_11_14_17_21_04740) = true,
    inference(hyper_resolution,[status(thm)],[hi44,hi91]) ).

fof(f43,axiom,
    ! [X] :
      ( cp2(X)
    <=> ? [Y0] : ra_Px5(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f43_nnf,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px5(X,Y0)
        | cp2(X) )
      & ( ? [Y0] : ra_Px5(X,Y0)
        | ~ cp2(X) ) ),
    inference(nnf_transformation,[status(thm)],[f43]) ).

fof(f43_sk,plain,
    ! [X,Y0] :
      ( ( ~ ra_Px5(X,Y0)
        | cp2(X) )
      & ( ra_Px5(X,sk1(X))
        | ~ cp2(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f43_nnf]) ).

cnf(c48,plain,
    ( ra_Px5(X0,sk1(X0))
    | ~ cp2(X0) ),
    inference(cnf_transformation,[status(esa)],[f43_sk]) ).

cnf(hi47,axiom,
    ifeq(cp2(X0),true,ra_Px5(X0,sk1(X0)),true) = true,
    inference(equality_encoding,[status(esa)],[c48]) ).

cnf(h4,plain,
    ra_Px5(i2003_11_14_17_21_04740,sk1(i2003_11_14_17_21_04740)) = true,
    inference(hyper_resolution,[status(thm)],[hi47,h0]) ).

cnf(c44,plain,
    ( ca_Ax14(sk0(X0))
    | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[status(esa)],[f41_sk]) ).

cnf(hi43,axiom,
    ifeq(cUnsatisfiable(X0),true,ca_Ax14(sk0(X0)),true) = true,
    inference(equality_encoding,[status(esa)],[c44]) ).

cnf(h1,plain,
    ca_Ax14(sk0(i2003_11_14_17_21_04740)) = true,
    inference(hyper_resolution,[status(thm)],[hi43,hi91]) ).

fof(f54,axiom,
    ! [X] :
      ( ca_Ax14(X)
    <=> ( ! [Y0,Y1] :
            ( ( rr(X,Y1)
              & rr(X,Y0) )
           => Y0 = Y1 )
        & ? [Y] :
            ( cp1(Y)
            & rr(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f54_nnf,plain,
    ! [X] :
      ( ( ? [Y0,Y1] :
            ( Y0 != Y1
            & rr(X,Y1)
            & rr(X,Y0) )
        | ! [Y] :
            ( ~ cp1(Y)
            | ~ rr(X,Y) )
        | ca_Ax14(X) )
      & ( ( ! [Y0,Y1] :
              ( Y0 = Y1
              | ~ rr(X,Y1)
              | ~ rr(X,Y0) )
          & ? [Y] :
              ( cp1(Y)
              & rr(X,Y) ) )
        | ~ ca_Ax14(X) ) ),
    inference(nnf_transformation,[status(thm)],[f54]) ).

fof(f54_sk,plain,
    ! [X,Y0,Y1,Y] :
      ( ( ( sk10(X) != sk11(X)
          & rr(X,sk11(X))
          & rr(X,sk10(X)) )
        | ~ cp1(Y)
        | ~ rr(X,Y)
        | ca_Ax14(X) )
      & ( ( ( Y0 = Y1
            | ~ rr(X,Y1)
            | ~ rr(X,Y0) )
          & cp1(sk9(X))
          & rr(X,sk9(X)) )
        | ~ ca_Ax14(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk9,sk10,sk11])],[f54_nnf]) ).

cnf(c68,plain,
    ( cp1(sk9(X0))
    | ~ ca_Ax14(X0) ),
    inference(cnf_transformation,[status(esa)],[f54_sk]) ).

cnf(hi63,axiom,
    ifeq(ca_Ax14(X0),true,cp1(sk9(X0)),true) = true,
    inference(equality_encoding,[status(esa)],[c68]) ).

cnf(h25,plain,
    cp1(sk9(sk0(i2003_11_14_17_21_04740))) = true,
    inference(hyper_resolution,[status(thm)],[hi63,h1]) ).

fof(f42,axiom,
    ! [X] :
      ( cp1(X)
     => ca_Cx1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f42_nnf,plain,
    ! [X] :
      ( ca_Cx1(X)
      | ~ cp1(X) ),
    inference(nnf_transformation,[status(thm)],[f42]) ).

fof(f42_sk,plain,
    ! [X] :
      ( ca_Cx1(X)
      | ~ cp1(X) ),
    inference(skolemisation,[status(esa)],[f42_nnf]) ).

cnf(c47,plain,
    ( ca_Cx1(X0)
    | ~ cp1(X0) ),
    inference(cnf_transformation,[status(esa)],[f42_sk]) ).

cnf(hi46,axiom,
    ifeq(cp1(X0),true,ca_Cx1(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c47]) ).

cnf(h84,plain,
    ca_Cx1(sk9(sk0(i2003_11_14_17_21_04740))) = true,
    inference(hyper_resolution,[status(thm)],[hi46,h25]) ).

fof(f55,axiom,
    ! [X] :
      ( ca_Cx1(X)
    <=> ( cp4xcomp(X)
        & cp3xcomp(X)
        & cp5xcomp(X)
        & cp2xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

fof(f55_nnf,plain,
    ! [X] :
      ( ( ~ cp4xcomp(X)
        | ~ cp3xcomp(X)
        | ~ cp5xcomp(X)
        | ~ cp2xcomp(X)
        | ca_Cx1(X) )
      & ( ( cp4xcomp(X)
          & cp3xcomp(X)
          & cp5xcomp(X)
          & cp2xcomp(X) )
        | ~ ca_Cx1(X) ) ),
    inference(nnf_transformation,[status(thm)],[f55]) ).

fof(f55_sk,plain,
    ! [X] :
      ( ( ~ cp4xcomp(X)
        | ~ cp3xcomp(X)
        | ~ cp5xcomp(X)
        | ~ cp2xcomp(X)
        | ca_Cx1(X) )
      & ( ( cp4xcomp(X)
          & cp3xcomp(X)
          & cp5xcomp(X)
          & cp2xcomp(X) )
        | ~ ca_Cx1(X) ) ),
    inference(skolemisation,[status(esa)],[f55_nnf]) ).

cnf(c73,plain,
    ( cp2xcomp(X0)
    | ~ ca_Cx1(X0) ),
    inference(cnf_transformation,[status(esa)],[f55_sk]) ).

cnf(hi68,axiom,
    ifeq(ca_Cx1(X0),true,cp2xcomp(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c73]) ).

cnf(h95,plain,
    cp2xcomp(sk9(sk0(i2003_11_14_17_21_04740))) = true,
    inference(hyper_resolution,[status(thm)],[hi68,h84]) ).

cnf(c67,plain,
    ( rr(X0,sk9(X0))
    | ~ ca_Ax14(X0) ),
    inference(cnf_transformation,[status(esa)],[f54_sk]) ).

cnf(hi62,axiom,
    ifeq(ca_Ax14(X0),true,rr(X0,sk9(X0)),true) = true,
    inference(equality_encoding,[status(esa)],[c67]) ).

cnf(h26,plain,
    rr(sk0(i2003_11_14_17_21_04740),sk9(sk0(i2003_11_14_17_21_04740))) = true,
    inference(hyper_resolution,[status(thm)],[hi62,h1]) ).

cnf(c43,plain,
    ( rinvR(X0,sk0(X0))
    | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[status(esa)],[f41_sk]) ).

cnf(hi42,axiom,
    ifeq(cUnsatisfiable(X0),true,rinvR(X0,sk0(X0)),true) = true,
    inference(equality_encoding,[status(esa)],[c43]) ).

cnf(h2,plain,
    rinvR(i2003_11_14_17_21_04740,sk0(i2003_11_14_17_21_04740)) = true,
    inference(hyper_resolution,[status(thm)],[hi42,hi91]) ).

fof(f64,axiom,
    ! [X,Y] :
      ( rinvR(X,Y)
    <=> rr(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

fof(f64_nnf,plain,
    ! [X,Y] :
      ( ( ~ rr(Y,X)
        | rinvR(X,Y) )
      & ( rr(Y,X)
        | ~ rinvR(X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f64]) ).

fof(f64_sk,plain,
    ! [X,Y] :
      ( ( ~ rr(Y,X)
        | rinvR(X,Y) )
      & ( rr(Y,X)
        | ~ rinvR(X,Y) ) ),
    inference(skolemisation,[status(esa)],[f64_nnf]) ).

cnf(c97,plain,
    ( rr(X1,X0)
    | ~ rinvR(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f64_sk]) ).

cnf(hi89,axiom,
    ifeq(rinvR(X0,X1),true,rr(X1,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c97]) ).

cnf(h29,plain,
    rr(sk0(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740) = true,
    inference(hyper_resolution,[status(thm)],[hi89,h2]) ).

cnf(c69,plain,
    ( X2 = X3
    | ~ rr(X0,X3)
    | ~ rr(X0,X2)
    | ~ ca_Ax14(X0) ),
    inference(cnf_transformation,[status(esa)],[f54_sk]) ).

cnf(hi64,axiom,
    ifeq(ca_Ax14(X0),true,ifeq(rr(X0,X1),true,ifeq(rr(X0,X2),true,X1,X2),X2),X2) = X2,
    inference(equality_encoding,[status(esa)],[c69]) ).

cnf(h133,plain,
    i2003_11_14_17_21_04740 = sk9(sk0(i2003_11_14_17_21_04740)),
    inference(hyper_resolution,[status(thm)],[hi64,h1,h29,h26]) ).

fof(f12,axiom,
    ! [A,B] :
      ( ( cp2xcomp(A)
        & A = B )
     => cp2xcomp(B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2xcomp_substitution_1) ).

fof(f12_nnf,plain,
    ! [A,B] :
      ( cp2xcomp(B)
      | ~ cp2xcomp(A)
      | A != B ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [A,B] :
      ( cp2xcomp(B)
      | ~ cp2xcomp(A)
      | A != B ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( cp2xcomp(X1)
    | ~ cp2xcomp(X0)
    | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(hi14,axiom,
    ifeq(X0,X1,ifeq(cp2xcomp(X0),true,cp2xcomp(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c12]) ).

cnf(h143,plain,
    cp2xcomp(i2003_11_14_17_21_04740) = true,
    inference(hyper_resolution,[status(thm)],[hi14,h133,h95]) ).

fof(f45,axiom,
    ! [X] :
      ( cp2xcomp(X)
    <=> ~ ? [Y] : ra_Px5(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f45_nnf,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px5(X,Y)
        | cp2xcomp(X) )
      & ( ! [Y] : ~ ra_Px5(X,Y)
        | ~ cp2xcomp(X) ) ),
    inference(nnf_transformation,[status(thm)],[f45]) ).

fof(f45_sk,plain,
    ! [X,Y] :
      ( ( ra_Px5(X,sk2(X))
        | cp2xcomp(X) )
      & ( ~ ra_Px5(X,Y)
        | ~ cp2xcomp(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f45_nnf]) ).

cnf(c51,plain,
    ( ~ ra_Px5(X0,X1)
    | ~ cp2xcomp(X0) ),
    inference(cnf_transformation,[status(esa)],[f45_sk]) ).

cnf(hi94,axiom,
    ifeq(cp2xcomp(X0),true,ifeq(ra_Px5(X0,X1),true,false,true),true) = true,
    inference(equality_encoding,[status(esa)],[c51]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi94,h143,h4]) ).

cnf(t280,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f39,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f39_nnf,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c40,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

fof(f40,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f40_nnf,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(nnf_transformation,[status(thm)],[f40]) ).

fof(f40_sk,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(skolemisation,[status(esa)],[f40_nnf]) ).

cnf(c41,plain,
    ( ~ xsd_integer(X0)
    | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(esa)],[f40_sk]) ).

fof(f48,axiom,
    ! [X] :
      ( cp3xcomp(X)
    <=> ~ ? [Y] : ra_Px6(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f48_nnf,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px6(X,Y)
        | cp3xcomp(X) )
      & ( ! [Y] : ~ ra_Px6(X,Y)
        | ~ cp3xcomp(X) ) ),
    inference(nnf_transformation,[status(thm)],[f48]) ).

fof(f48_sk,plain,
    ! [X,Y] :
      ( ( ra_Px6(X,sk4(X))
        | cp3xcomp(X) )
      & ( ~ ra_Px6(X,Y)
        | ~ cp3xcomp(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f48_nnf]) ).

cnf(c56,plain,
    ( ~ ra_Px6(X0,X1)
    | ~ cp3xcomp(X0) ),
    inference(cnf_transformation,[status(esa)],[f48_sk]) ).

fof(f49,axiom,
    ! [X] :
      ( cp4(X)
    <=> ~ ? [Y] : ra_Px7(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f49_nnf,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px7(X,Y)
        | cp4(X) )
      & ( ! [Y] : ~ ra_Px7(X,Y)
        | ~ cp4(X) ) ),
    inference(nnf_transformation,[status(thm)],[f49]) ).

fof(f49_sk,plain,
    ! [X,Y] :
      ( ( ra_Px7(X,sk5(X))
        | cp4(X) )
      & ( ~ ra_Px7(X,Y)
        | ~ cp4(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f49_nnf]) ).

cnf(c58,plain,
    ( ~ ra_Px7(X0,X1)
    | ~ cp4(X0) ),
    inference(cnf_transformation,[status(esa)],[f49_sk]) ).

fof(f52,axiom,
    ! [X] :
      ( cp5(X)
    <=> ~ ? [Y] : ra_Px4(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f52_nnf,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px4(X,Y)
        | cp5(X) )
      & ( ! [Y] : ~ ra_Px4(X,Y)
        | ~ cp5(X) ) ),
    inference(nnf_transformation,[status(thm)],[f52]) ).

fof(f52_sk,plain,
    ! [X,Y] :
      ( ( ra_Px4(X,sk7(X))
        | cp5(X) )
      & ( ~ ra_Px4(X,Y)
        | ~ cp5(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f52_nnf]) ).

cnf(c63,plain,
    ( ~ ra_Px4(X0,X1)
    | ~ cp5(X0) ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

fof(f57,axiom,
    ! [X] :
      ( ca_Cx1xcomp(X)
    <=> ~ ? [Y] : ra_Px1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(f57_nnf,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px1(X,Y)
        | ca_Cx1xcomp(X) )
      & ( ! [Y] : ~ ra_Px1(X,Y)
        | ~ ca_Cx1xcomp(X) ) ),
    inference(nnf_transformation,[status(thm)],[f57]) ).

fof(f57_sk,plain,
    ! [X,Y] :
      ( ( ra_Px1(X,sk13(X))
        | ca_Cx1xcomp(X) )
      & ( ~ ra_Px1(X,Y)
        | ~ ca_Cx1xcomp(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk13])],[f57_nnf]) ).

cnf(c80,plain,
    ( ~ ra_Px1(X0,X1)
    | ~ ca_Cx1xcomp(X0) ),
    inference(cnf_transformation,[status(esa)],[f57_sk]) ).

fof(f59,axiom,
    ! [X] :
      ( ca_Cx2(X)
    <=> ~ ? [Y] : ra_Px2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f59_nnf,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px2(X,Y)
        | ca_Cx2(X) )
      & ( ! [Y] : ~ ra_Px2(X,Y)
        | ~ ca_Cx2(X) ) ),
    inference(nnf_transformation,[status(thm)],[f59]) ).

fof(f59_sk,plain,
    ! [X,Y] :
      ( ( ra_Px2(X,sk14(X))
        | ca_Cx2(X) )
      & ( ~ ra_Px2(X,Y)
        | ~ ca_Cx2(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk14])],[f59_nnf]) ).

cnf(c86,plain,
    ( ~ ra_Px2(X0,X1)
    | ~ ca_Cx2(X0) ),
    inference(cnf_transformation,[status(esa)],[f59_sk]) ).

fof(f61,axiom,
    ! [X] :
      ( ca_Cx3(X)
    <=> ~ ? [Y] : ra_Px3(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

fof(f61_nnf,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px3(X,Y)
        | ca_Cx3(X) )
      & ( ! [Y] : ~ ra_Px3(X,Y)
        | ~ ca_Cx3(X) ) ),
    inference(nnf_transformation,[status(thm)],[f61]) ).

fof(f61_sk,plain,
    ! [X,Y] :
      ( ( ra_Px3(X,sk16(X))
        | ca_Cx3(X) )
      & ( ~ ra_Px3(X,Y)
        | ~ ca_Cx3(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk16])],[f61_nnf]) ).

cnf(c90,plain,
    ( ~ ra_Px3(X0,X1)
    | ~ ca_Cx3(X0) ),
    inference(cnf_transformation,[status(esa)],[f61_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c40,c41,c51,c56,c58,c63,c80,c86,c90]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t280]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS108+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Wed Sep 23 19:26:10 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.76/1.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.76/1.36  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------