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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : KRS110+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n013.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 : Sun Sep 27 07:44:40 AM UTC 2026

% Result   : Unsatisfiable 4.77s 2.69s
% Output   : Refutation 5.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   75 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :  228 (  50 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  447 (   8   ~;   0   |;  72   &; 286   @)
%                                         (   8 <=>;  73  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   2 con; 0-2 aty)
%            Number of variables   :  181 (   0   ^; 169   !;  12   ?; 181   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cUnsatisfiable_decl,type,
    cUnsatisfiable: $i > $o ).

thf(ca_Ax2_decl,type,
    ca_Ax2: $i > $o ).

thf(cowlNothing_decl,type,
    cowlNothing: $i > $o ).

thf(cowlThing_decl,type,
    cowlThing: $i > $o ).

thf(cp_decl,type,
    cp: $i > $o ).

thf(cpxcomp_decl,type,
    cpxcomp: $i > $o ).

thf(ra_Px1_decl,type,
    ra_Px1: $i > $i > $o ).

thf(rf_decl,type,
    rf: $i > $i > $o ).

thf(rf1_decl,type,
    rf1: $i > $i > $o ).

thf(rinvF_decl,type,
    rinvF: $i > $i > $o ).

thf(rinvF1_decl,type,
    rinvF1: $i > $i > $o ).

thf(rinvS_decl,type,
    rinvS: $i > $i > $o ).

thf(rs_decl,type,
    rs: $i > $i > $o ).

thf(xsd_integer_decl,type,
    xsd_integer: $i > $o ).

thf(xsd_string_decl,type,
    xsd_string: $i > $o ).

thf(i2003_11_14_17_21_12565_decl,type,
    i2003_11_14_17_21_12565: $i ).

thf(25,axiom,
    ! [A: $i] :
      ( ( A @ cUnsatisfiable )
    <=> ( ! [B: $i] :
            ( ( B @ ( A @ rs ) )
           => ( B @ cpxcomp ) )
        & ? [B: $i] :
            ( ( B @ ca_Ax2 )
            & ( B @ ( A @ rs ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(138,plain,
    ! [A: $i] :
      ( ( ( ! [B: $i] :
              ( ( B @ ( A @ rs ) )
             => ( B @ cpxcomp ) )
          & ? [B: $i] :
              ( ( B @ ca_Ax2 )
              & ( B @ ( A @ rs ) ) ) )
       => ( A @ cUnsatisfiable ) )
      & ( ( A @ cUnsatisfiable )
       => ( ! [B: $i] :
              ( ( B @ ( A @ rs ) )
             => ( B @ cpxcomp ) )
          & ? [B: $i] :
              ( ( B @ ca_Ax2 )
              & ( B @ ( A @ rs ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(18,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rinvS ) )
        & ( A = B ) )
     => ( B @ ( C @ rinvS ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvS_substitution_2) ).

thf(106,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rinvS ) )
        & ( A = B ) )
     => ( B @ ( C @ rinvS ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(17,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rinvS ) )
        & ( A = B ) )
     => ( C @ ( B @ rinvS ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvS_substitution_1) ).

thf(102,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rinvS ) )
        & ( A = B ) )
     => ( C @ ( B @ rinvS ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(21,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ xsd_integer )
        & ( A = B ) )
     => ( B @ xsd_integer ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).

thf(118,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ xsd_integer )
        & ( A = B ) )
     => ( B @ xsd_integer ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(16,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rinvF1 ) )
        & ( A = B ) )
     => ( B @ ( C @ rinvF1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF1_substitution_2) ).

thf(98,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rinvF1 ) )
        & ( A = B ) )
     => ( B @ ( C @ rinvF1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ cowlThing )
        & ( A = B ) )
     => ( B @ cowlThing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).

thf(50,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ cowlThing )
        & ( A = B ) )
     => ( B @ cowlThing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( A @ cpxcomp )
    <=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

thf(154,plain,
    ! [A: $i] :
      ( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
       => ( A @ cpxcomp ) )
      & ( ( A @ cpxcomp )
       => ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(29,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf ) )
        & ( B @ ( A @ rf ) ) )
     => ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

thf(168,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf ) )
        & ( B @ ( A @ rf ) ) )
     => ( B = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(7,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ ra_Px1 ) )
        & ( A = B ) )
     => ( C @ ( B @ ra_Px1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ra_Px1_substitution_1) ).

thf(62,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ ra_Px1 ) )
        & ( A = B ) )
     => ( C @ ( B @ ra_Px1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ rinvF ) )
    <=> ( A @ ( B @ rf ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

thf(174,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ ( B @ rf ) )
       => ( B @ ( A @ rinvF ) ) )
      & ( ( B @ ( A @ rinvF ) )
       => ( A @ ( B @ rf ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(2,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ ca_Ax2 )
        & ( A = B ) )
     => ( B @ ca_Ax2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ca_Ax2_substitution_1) ).

thf(42,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ ca_Ax2 )
        & ( A = B ) )
     => ( B @ ca_Ax2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(19,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rs ) )
        & ( A = B ) )
     => ( C @ ( B @ rs ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rs_substitution_1) ).

thf(110,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rs ) )
        & ( A = B ) )
     => ( C @ ( B @ rs ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(36,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ rs ) )
     => ( B @ ( A @ rf ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

thf(196,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ rs ) )
     => ( B @ ( A @ rf ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ cowlNothing )
        & ( A = B ) )
     => ( B @ cowlNothing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).

thf(46,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ cowlNothing )
        & ( A = B ) )
     => ( B @ cowlNothing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(11,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf1 ) )
        & ( A = B ) )
     => ( C @ ( B @ rf1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf1_substitution_1) ).

thf(78,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf1 ) )
        & ( A = B ) )
     => ( C @ ( B @ rf1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( A @ xsd_string )
    <=> ~ ( A @ xsd_integer ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

thf(132,plain,
    ! [A: $i] :
      ( ( ~ ( A @ xsd_integer )
       => ( A @ xsd_string ) )
      & ( ( A @ xsd_string )
       => ~ ( A @ xsd_integer ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(10,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rf ) )
        & ( A = B ) )
     => ( B @ ( C @ rf ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf_substitution_2) ).

thf(74,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rf ) )
        & ( A = B ) )
     => ( B @ ( C @ rf ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ cUnsatisfiable )
        & ( A = B ) )
     => ( B @ cUnsatisfiable ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).

thf(38,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ cUnsatisfiable )
        & ( A = B ) )
     => ( B @ cUnsatisfiable ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( A @ ca_Ax2 )
    <=> ( ? [B: $i] :
            ( ( B @ cp )
            & ( B @ ( A @ rinvS ) ) )
        & ( A @ cp ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

thf(160,plain,
    ! [A: $i] :
      ( ( ( ? [B: $i] :
              ( ( B @ cp )
              & ( B @ ( A @ rinvS ) ) )
          & ( A @ cp ) )
       => ( A @ ca_Ax2 ) )
      & ( ( A @ ca_Ax2 )
       => ( ? [B: $i] :
              ( ( B @ cp )
              & ( B @ ( A @ rinvS ) ) )
          & ( A @ cp ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(9,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf ) )
        & ( A = B ) )
     => ( C @ ( B @ rf ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf_substitution_1) ).

thf(70,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf ) )
        & ( A = B ) )
     => ( C @ ( B @ rf ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(34,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rs ) )
        & ( B @ ( A @ rs ) ) )
     => ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

thf(192,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rs ) )
        & ( B @ ( A @ rs ) ) )
     => ( B = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( A @ cp )
    <=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

thf(148,plain,
    ! [A: $i] :
      ( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
       => ( A @ cp ) )
      & ( ( A @ cp )
       => ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(32,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ rinvF1 ) )
    <=> ( A @ ( B @ rf1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

thf(180,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ ( B @ rf1 ) )
       => ( B @ ( A @ rinvF1 ) ) )
      & ( ( B @ ( A @ rinvF1 ) )
       => ( A @ ( B @ rf1 ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ cp )
        & ( A = B ) )
     => ( B @ cp ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp_substitution_1) ).

thf(54,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ cp )
        & ( A = B ) )
     => ( B @ cp ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rinvF ) )
        & ( A = B ) )
     => ( C @ ( B @ rinvF ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF_substitution_1) ).

thf(86,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rinvF ) )
        & ( A = B ) )
     => ( C @ ( B @ rinvF ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(8,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ ra_Px1 ) )
        & ( A = B ) )
     => ( B @ ( C @ ra_Px1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ra_Px1_substitution_2) ).

thf(66,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ ra_Px1 ) )
        & ( A = B ) )
     => ( B @ ( C @ ra_Px1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(37,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ rs ) )
     => ( B @ ( A @ rf1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

thf(198,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ rs ) )
     => ( B @ ( A @ rf1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(33,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ rinvS ) )
    <=> ( A @ ( B @ rs ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

thf(186,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ ( B @ rs ) )
       => ( B @ ( A @ rinvS ) ) )
      & ( ( B @ ( A @ rinvS ) )
       => ( A @ ( B @ rs ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rs ) )
        & ( A = B ) )
     => ( B @ ( C @ rs ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rs_substitution_2) ).

thf(114,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rs ) )
        & ( A = B ) )
     => ( B @ ( C @ rs ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf1 ) )
        & ( B @ ( A @ rf1 ) ) )
     => ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

thf(171,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rf1 ) )
        & ( B @ ( A @ rf1 ) ) )
     => ( B = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ cpxcomp )
        & ( A = B ) )
     => ( B @ cpxcomp ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cpxcomp_substitution_1) ).

thf(58,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ cpxcomp )
        & ( A = B ) )
     => ( B @ cpxcomp ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(12,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rf1 ) )
        & ( A = B ) )
     => ( B @ ( C @ rf1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf1_substitution_2) ).

thf(82,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rf1 ) )
        & ( A = B ) )
     => ( B @ ( C @ rf1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ~ ( A @ cowlNothing )
      & ( A @ cowlThing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

thf(126,plain,
    ! [A: $i] :
      ( ~ ( A @ cowlNothing )
      & ( A @ cowlThing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(35,axiom,
    i2003_11_14_17_21_12565 @ cUnsatisfiable,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

thf(195,plain,
    i2003_11_14_17_21_12565 @ cUnsatisfiable,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(15,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rinvF1 ) )
        & ( A = B ) )
     => ( C @ ( B @ rinvF1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF1_substitution_1) ).

thf(94,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ rinvF1 ) )
        & ( A = B ) )
     => ( C @ ( B @ rinvF1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(14,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rinvF ) )
        & ( A = B ) )
     => ( B @ ( C @ rinvF ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF_substitution_2) ).

thf(90,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ rinvF ) )
        & ( A = B ) )
     => ( B @ ( C @ rinvF ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( ( A @ xsd_string )
        & ( A = B ) )
     => ( B @ xsd_string ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_string_substitution_1) ).

thf(122,plain,
    ! [A: $i,B: $i] :
      ( ( ( A @ xsd_string )
        & ( A = B ) )
     => ( B @ xsd_string ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(200,plain,
    $false,
    inference(e,[status(thm)],[138,106,102,118,98,50,154,168,62,174,42,110,196,46,78,132,74,38,160,70,192,148,180,54,86,66,198,186,114,171,58,82,126,195,94,90,122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS110+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.39  % Computer : n013.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Fri Sep 25 19:39:21 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.89/0.96  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.33/1.17  % [INFO] 	 Parsing done (206ms). 
% 1.33/1.19  % [INFO] 	 Running in sequential loop mode. 
% 2.02/1.58  % [INFO] 	 eprover registered as external prover. 
% 2.02/1.59  % [INFO] 	 Scanning for conjecture ... 
% 2.24/1.64  % [INFO] 	 37 axioms and no conjecture found. 
% 2.44/1.75  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.44/1.76  % [INFO] 	 Type checking passed. 
% 2.44/1.77  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 4.77/2.68  % External prover 'e' found a proof!
% 4.77/2.68  % [INFO] 	 Killing All external provers ... 
% 4.77/2.68  % Time passed: 2156ms (effective reasoning time: 1492ms)
% 4.77/2.69  % Axioms used in derivation (37): rinvF1_substitution_1, ca_Ax2_substitution_1, axiom_2, rinvS_substitution_2, cowlThing_substitution_1, axiom_3, rinvS_substitution_1, axiom_11, rf_substitution_1, axiom_12, axiom_4, axiom_7, cowlNothing_substitution_1, rinvF_substitution_2, axiom_10, cpxcomp_substitution_1, xsd_string_substitution_1, rf1_substitution_2, axiom_6, ra_Px1_substitution_1, ra_Px1_substitution_2, cUnsatisfiable_substitution_1, axiom_1, xsd_integer_substitution_1, rf1_substitution_1, axiom_8, rs_substitution_2, axiom_5, axiom_13, rinvF1_substitution_2, rinvF_substitution_1, rf_substitution_2, axiom_0, axiom_9, rs_substitution_1, axiom_14, cp_substitution_1
% 4.77/2.69  % No. of inferences in proof: 75
% 4.77/2.69  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2156 ms resp. 1492 ms w/o parsing
% 5.06/2.77  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.06/2.77  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------