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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n017.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 01:53:24 PM UTC 2026

% Result   : Theorem 3.47s 6.10s
% Output   : Proof 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  110 (   7 unt;   0 def)
%            Number of atoms       :  377 (  26 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  375 ( 108   ~; 227   |;  27   &)
%                                         (   7 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  100 (   4 sgn  68   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X,Y] :
      ( rq(X,Y)
     => cd(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f16_nnf,plain,
    ! [X,Y] :
      ( cd(X)
      | ~ rq(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [X,Y] :
      ( cd(X)
      | ~ rq(X,Y) ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c20,plain,
    ( cd(X0)
    | ~ rq(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

fof(f10,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f10_nnf,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c12,plain,
    ( xsd_integer(X0)
    | xsd_string(X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

fof(f9,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f9_nnf,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    cowlThing(X0),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

fof(f18,conjecture,
    ( ! [X,Y] :
        ( rq(X,Y)
      <=> rp(X,Y) )
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f18_neg,negated_conjecture,
    ~ ( ! [X,Y] :
          ( rq(X,Y)
        <=> rp(X,Y) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f18_nnf,plain,
    ( ? [X,Y] :
        ( ( rp(X,Y)
          & ~ rq(X,Y) )
        | ( ~ rp(X,Y)
          & rq(X,Y) ) )
    | ? [X] :
        ( ( ~ xsd_integer(X)
          & ~ xsd_string(X) )
        | ( xsd_integer(X)
          & xsd_string(X) ) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(nnf_transformation,[status(thm)],[f18_neg]) ).

fof(f18_sk,plain,
    ( ( rp(sk2,sk3)
      & ~ rq(sk2,sk3) )
    | ( ~ rp(sk2,sk3)
      & rq(sk2,sk3) )
    | ( ~ xsd_integer(sk1)
      & ~ xsd_string(sk1) )
    | ( xsd_integer(sk1)
      & xsd_string(sk1) )
    | cowlNothing(sk0)
    | ~ cowlThing(sk0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f18_nnf]) ).

cnf(c31,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | ~ xsd_string(sk1)
    | xsd_integer(sk1)
    | cowlNothing(sk0)
    | ~ cowlThing(sk0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p40,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | ~ xsd_string(sk1)
    | xsd_integer(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[c9,c31]) ).

cnf(p42,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | xsd_integer(sk1)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[c12,p40]) ).

cnf(p44,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(factoring,[status(thm)],[p42]) ).

cnf(p46,plain,
    ( rp(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1)
    | cd(sk2) ),
    inference(resolution,[status(thm)],[c20,p44]) ).

fof(f14,axiom,
    ! [X,Y] :
      ( rp(X,Y)
     => cd(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f14_nnf,plain,
    ! [X,Y] :
      ( cd(X)
      | ~ rp(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [X,Y] :
      ( cd(X)
      | ~ rp(X,Y) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c18,plain,
    ( cd(X0)
    | ~ rp(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p47,plain,
    ( cd(sk2)
    | cowlNothing(sk0)
    | xsd_integer(sk1)
    | cd(sk2) ),
    inference(resolution,[status(thm)],[p46,c18]) ).

cnf(p48,plain,
    ( cowlNothing(sk0)
    | xsd_integer(sk1)
    | cd(sk2) ),
    inference(factoring,[status(thm)],[p47]) ).

cnf(c27,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | ~ xsd_integer(sk1)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | ~ cowlThing(sk0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p38,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | ~ xsd_integer(sk1)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[c9,c27]) ).

cnf(p49,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(resolution,[status(thm)],[p48,p38]) ).

cnf(p50,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(factoring,[status(thm)],[p49]) ).

cnf(p51,plain,
    ( cd(sk2)
    | rp(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(resolution,[status(thm)],[p50,c20]) ).

cnf(p52,plain,
    ( rp(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(factoring,[status(thm)],[p51]) ).

cnf(p53,plain,
    ( cd(sk2)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(resolution,[status(thm)],[p52,c18]) ).

cnf(p54,plain,
    ( xsd_string(sk1)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(factoring,[status(thm)],[p53]) ).

cnf(c11,plain,
    ( ~ xsd_integer(X0)
    | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(p55,plain,
    ( ~ xsd_integer(sk1)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(resolution,[status(thm)],[p54,c11]) ).

cnf(p57,plain,
    ( cowlNothing(sk0)
    | cd(sk2)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(resolution,[status(thm)],[p55,p48]) ).

cnf(p58,plain,
    ( cowlNothing(sk0)
    | cowlNothing(sk0)
    | cd(sk2) ),
    inference(factoring,[status(thm)],[p57]) ).

cnf(p60,plain,
    ( cowlNothing(sk0)
    | cd(sk2) ),
    inference(factoring,[status(thm)],[p58]) ).

cnf(c10,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p61,plain,
    cd(sk2),
    inference(resolution,[status(thm)],[p60,c10]) ).

fof(f11,axiom,
    ! [X] :
      ( cd(X)
    <=> rq(X,iv) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f11_nnf,plain,
    ! [X] :
      ( ( ~ rq(X,iv)
        | cd(X) )
      & ( rq(X,iv)
        | ~ cd(X) ) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [X] :
      ( ( ~ rq(X,iv)
        | cd(X) )
      & ( rq(X,iv)
        | ~ cd(X) ) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c13,plain,
    ( rq(X0,iv)
    | ~ cd(X0) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(p62,plain,
    rq(sk2,iv),
    inference(resolution,[status(thm)],[p61,c13]) ).

fof(f15,axiom,
    ! [X,Y,Z] :
      ( ( rq(X,Z)
        & rq(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f15_nnf,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rq(X,Z)
      | ~ rq(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rq(X,Z)
      | ~ rq(X,Y) ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c19,plain,
    ( X1 = X2
    | ~ rq(X0,X2)
    | ~ rq(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(p64,plain,
    ( iv = X0
    | ~ rq(sk2,X0) ),
    inference(resolution,[status(thm)],[p62,c19]) ).

cnf(p67,plain,
    ( rp(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1)
    | iv = sk3 ),
    inference(resolution,[status(thm)],[p64,p44]) ).

fof(f12,axiom,
    ! [X] :
      ( cd(X)
    <=> rp(X,iv) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f12_nnf,plain,
    ! [X] :
      ( ( ~ rp(X,iv)
        | cd(X) )
      & ( rp(X,iv)
        | ~ cd(X) ) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [X] :
      ( ( ~ rp(X,iv)
        | cd(X) )
      & ( rp(X,iv)
        | ~ cd(X) ) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c15,plain,
    ( rp(X0,iv)
    | ~ cd(X0) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p63,plain,
    rp(sk2,iv),
    inference(resolution,[status(thm)],[p61,c15]) ).

fof(f13,axiom,
    ! [X,Y,Z] :
      ( ( rp(X,Z)
        & rp(X,Y) )
     => Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f13_nnf,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rp(X,Z)
      | ~ rp(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [X,Y,Z] :
      ( Y = Z
      | ~ rp(X,Z)
      | ~ rp(X,Y) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c17,plain,
    ( X1 = X2
    | ~ rp(X0,X2)
    | ~ rp(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(p66,plain,
    ( iv = X0
    | ~ rp(sk2,X0) ),
    inference(resolution,[status(thm)],[p63,c17]) ).

cnf(p72,plain,
    ( iv = sk3
    | cowlNothing(sk0)
    | xsd_integer(sk1)
    | iv = sk3 ),
    inference(resolution,[status(thm)],[p67,p66]) ).

cnf(p80,plain,
    ( cowlNothing(sk0)
    | xsd_integer(sk1)
    | iv = sk3 ),
    inference(factoring,[status(thm)],[p72]) ).

fof(f4,axiom,
    ! [A,B,C] :
      ( ( rp(C,A)
        & A = B )
     => rp(C,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_2) ).

fof(f4_nnf,plain,
    ! [A,B,C] :
      ( rp(C,B)
      | ~ rp(C,A)
      | A != B ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [A,B,C] :
      ( rp(C,B)
      | ~ rp(C,A)
      | A != B ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c4,plain,
    ( rp(X2,X1)
    | ~ rp(X2,X0)
    | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(p85,plain,
    ( rp(X0,sk3)
    | ~ rp(X0,iv)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[p80,c4]) ).

cnf(p97,plain,
    ( rp(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[p85,p63]) ).

cnf(c32,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | ~ xsd_string(sk1)
    | xsd_integer(sk1)
    | cowlNothing(sk0)
    | ~ cowlThing(sk0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p41,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | ~ xsd_string(sk1)
    | xsd_integer(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[c9,c32]) ).

cnf(p43,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | xsd_integer(sk1)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[c12,p41]) ).

cnf(p45,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(factoring,[status(thm)],[p43]) ).

cnf(p99,plain,
    ( ~ rq(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[p97,p45]) ).

cnf(p113,plain,
    ( ~ rq(sk2,sk3)
    | cowlNothing(sk0)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(factoring,[status(thm)],[p99]) ).

cnf(p115,plain,
    ( ~ rq(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(factoring,[status(thm)],[p113]) ).

fof(f6,axiom,
    ! [A,B,C] :
      ( ( rq(C,A)
        & A = B )
     => rq(C,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_2) ).

fof(f6_nnf,plain,
    ! [A,B,C] :
      ( rq(C,B)
      | ~ rq(C,A)
      | A != B ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [A,B,C] :
      ( rq(C,B)
      | ~ rq(C,A)
      | A != B ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( rq(X2,X1)
    | ~ rq(X2,X0)
    | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p87,plain,
    ( rq(X0,sk3)
    | ~ rq(X0,iv)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[p80,c6]) ).

cnf(p101,plain,
    ( rq(sk2,sk3)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[p87,p62]) ).

cnf(p117,plain,
    ( cowlNothing(sk0)
    | xsd_integer(sk1)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(resolution,[status(thm)],[p115,p101]) ).

cnf(p118,plain,
    ( cowlNothing(sk0)
    | cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(factoring,[status(thm)],[p117]) ).

cnf(p120,plain,
    ( cowlNothing(sk0)
    | xsd_integer(sk1) ),
    inference(factoring,[status(thm)],[p118]) ).

cnf(p121,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p120,p38]) ).

cnf(p123,plain,
    ( rp(sk2,sk3)
    | rq(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(factoring,[status(thm)],[p121]) ).

cnf(p125,plain,
    ( iv = sk3
    | rp(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p123,p64]) ).

cnf(p128,plain,
    ( iv = sk3
    | iv = sk3
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p125,p66]) ).

cnf(p129,plain,
    ( iv = sk3
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(factoring,[status(thm)],[p128]) ).

cnf(p132,plain,
    ( rp(X0,sk3)
    | ~ rp(X0,iv)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p129,c4]) ).

cnf(p141,plain,
    ( rp(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p132,p63]) ).

cnf(c28,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | ~ xsd_integer(sk1)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | ~ cowlThing(sk0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p39,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | ~ xsd_integer(sk1)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[c9,c28]) ).

cnf(p122,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p120,p39]) ).

cnf(p126,plain,
    ( ~ rq(sk2,sk3)
    | ~ rp(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(factoring,[status(thm)],[p122]) ).

cnf(p143,plain,
    ( ~ rq(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p141,p126]) ).

cnf(p153,plain,
    ( ~ rq(sk2,sk3)
    | xsd_string(sk1)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(factoring,[status(thm)],[p143]) ).

cnf(p160,plain,
    ( ~ rq(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(factoring,[status(thm)],[p153]) ).

cnf(p134,plain,
    ( rq(X0,sk3)
    | ~ rq(X0,iv)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p129,c6]) ).

cnf(p144,plain,
    ( rq(sk2,sk3)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p134,p62]) ).

cnf(p162,plain,
    ( xsd_string(sk1)
    | cowlNothing(sk0)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p160,p144]) ).

cnf(p163,plain,
    ( xsd_string(sk1)
    | xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(factoring,[status(thm)],[p162]) ).

cnf(p165,plain,
    ( xsd_string(sk1)
    | cowlNothing(sk0) ),
    inference(factoring,[status(thm)],[p163]) ).

cnf(p166,plain,
    ( ~ xsd_integer(sk1)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p165,c11]) ).

cnf(p167,plain,
    ( cowlNothing(sk0)
    | cowlNothing(sk0) ),
    inference(resolution,[status(thm)],[p166,p120]) ).

cnf(p168,plain,
    cowlNothing(sk0),
    inference(factoring,[status(thm)],[p167]) ).

cnf(p169,plain,
    $false,
    inference(resolution,[status(thm)],[p168,c10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS172+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.37  % Computer : n017.cluster.edu
% 0.11/5.37  % Model    : x86_64 x86_64
% 0.11/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37  % Memory   : 8046.5625MB
% 0.11/5.37  % OS       : Linux 6.8.0-71-generic
% 0.11/5.37  % CPULimit : 300
% 0.11/5.37  % WCLimit  : 300
% 0.11/5.37  % DateTime : Wed Sep 23 19:30:20 UTC 2026
% 0.11/5.37  % CPUTime  : 
% 0.11/5.37  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.47/6.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.47/6.10  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------