↑ Up

Leo-III---1.8.0.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWX222+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n014.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 09:15:20 AM UTC 2026

% Result   : Theorem 4.99s 2.83s
% Output   : Refutation 5.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   74 (  57 unt;   0 typ;   0 def)
%            Number of atoms       :  111 (  63 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  395 (  36   ~;   0   |;  14   &; 322   @)
%                                         (   5 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  27 usr;   7 con; 0-3 aty)
%            Number of variables   :  151 (   0   ^; 148   !;   3   ?; 151   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nf_decl,type,
    nf: $i > $o ).

thf(tc_decl,type,
    tc: $i > $i > $i > $o ).

thf(nil_decl,type,
    nil: $i ).

thf(arr_decl,type,
    arr: $i > $i > $i ).

thf(a_decl,type,
    a: $i ).

thf(b_decl,type,
    b: $i ).

thf(proj1Suc_decl,type,
    proj1Suc: $i > $i ).

thf(suc_decl,type,
    suc: $i > $i ).

thf(zero_decl,type,
    zero: $i ).

thf(proj1App_decl,type,
    proj1App: $i > $i ).

thf(app_decl,type,
    app: $i > $i > $i > $i ).

thf(index_decl,type,
    index: $i > $i > $i ).

thf(cons_decl,type,
    cons: $i > $i > $i ).

thf(just_decl,type,
    just: $i > $i ).

thf(tail_decl,type,
    tail: $i > $i ).

thf(proj2App_decl,type,
    proj2App: $i > $i ).

thf(proj1Var_decl,type,
    proj1Var: $i > $i ).

thf(var_decl,type,
    var: $i > $i ).

thf(proj3App_decl,type,
    proj3App: $i > $i ).

thf(lam_decl,type,
    lam: $i > $i ).

thf(nothing_decl,type,
    nothing: $i ).

thf(proj1Just_decl,type,
    proj1Just: $i > $i ).

thf(head_decl,type,
    head: $i > $i ).

thf(proj1Lam_decl,type,
    proj1Lam: $i > $i ).

thf(c_decl,type,
    c: $i ).

thf(proj1Arr_decl,type,
    proj1Arr: $i > $i ).

thf(proj2Arr_decl,type,
    proj2Arr: $i > $i ).

thf(8,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ app ) ) @ proj2App )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).

thf(56,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ app ) ) @ proj2App )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(32,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) @ proj1Arr )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).

thf(157,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) @ proj1Arr )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(19,axiom,
    b != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).

thf(93,plain,
    b != c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(21,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( A
       != ( A @ proj1Lam @ lam ) )
     => ( ( C @ ( B @ ( A @ app ) ) @ nf )
      <=> ( ( B @ nf )
          & ( A @ nf ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_024) ).

thf(102,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( A
       != ( A @ proj1Lam @ lam ) )
     => ( ( ( ( B @ nf )
            & ( A @ nf ) )
         => ( C @ ( B @ ( A @ app ) ) @ nf ) )
        & ( ( C @ ( B @ ( A @ app ) ) @ nf )
         => ( ( B @ nf )
            & ( A @ nf ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(11,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ app ) ) @ proj3App )
      = C ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).

thf(65,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ app ) ) @ proj3App )
      = C ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ cons ) @ tail )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).

thf(53,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ cons ) @ tail )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( D @ ( C @ arr ) @ ( B @ lam @ ( A @ tc ) ) )
    <=> ( D @ ( B @ ( A @ ( C @ cons ) @ tc ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_033) ).

thf(96,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( D @ ( B @ ( A @ ( C @ cons ) @ tc ) ) )
       => ( D @ ( C @ arr ) @ ( B @ lam @ ( A @ tc ) ) ) )
      & ( ( D @ ( C @ arr ) @ ( B @ lam @ ( A @ tc ) ) )
       => ( D @ ( B @ ( A @ ( C @ cons ) @ tc ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( A @ lam @ nf )
    <=> ( A @ nf ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026) ).

thf(148,plain,
    ! [A: $i] :
      ( ( ( A @ nf )
       => ( A @ lam @ nf ) )
      & ( ( A @ lam @ nf )
       => ( A @ nf ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( A @ var @ proj1Var )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).

thf(59,plain,
    ! [A: $i] :
      ( ( A @ var @ proj1Var )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) )
     != a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).

thf(140,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) )
     != a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( A @ just @ proj1Just )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).

thf(80,plain,
    ! [A: $i] :
      ( ( A @ just @ proj1Just )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( zero @ ( B @ ( A @ cons ) @ index ) )
      = ( A @ just ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029) ).

thf(50,plain,
    ! [A: $i,B: $i] :
      ( ( zero @ ( B @ ( A @ cons ) @ index ) )
      = ( A @ just ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( A @ suc @ proj1Suc )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).

thf(40,plain,
    ! [A: $i] :
      ( ( A @ suc @ proj1Suc )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(24,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( B @ ( E @ ( D @ ( C @ app ) ) @ ( A @ tc ) ) )
    <=> ( ( E @ ( D @ ( A @ tc ) ) )
        & ( B @ ( E @ arr ) @ ( C @ ( A @ tc ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031) ).

thf(119,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( ( E @ ( D @ ( A @ tc ) ) )
          & ( B @ ( E @ arr ) @ ( C @ ( A @ tc ) ) ) )
       => ( B @ ( E @ ( D @ ( C @ app ) ) @ ( A @ tc ) ) ) )
      & ( ( B @ ( E @ ( D @ ( C @ app ) ) @ ( A @ tc ) ) )
       => ( ( E @ ( D @ ( A @ tc ) ) )
          & ( B @ ( E @ arr ) @ ( C @ ( A @ tc ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(36,axiom,
    ! [A: $i,B: $i] :
      ( nil
     != ( B @ ( A @ cons ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).

thf(168,plain,
    ! [A: $i,B: $i] :
      ( nil
     != ( B @ ( A @ cons ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(25,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( C @ ( A @ index ) )
        = ( D @ just ) )
     => ( ( B @ ( C @ var @ ( A @ tc ) ) )
      <=> ( D = B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_035) ).

thf(126,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( C @ ( A @ index ) )
        = ( D @ just ) )
     => ( ( ( D = B )
         => ( B @ ( C @ var @ ( A @ tc ) ) ) )
        & ( ( B @ ( C @ var @ ( A @ tc ) ) )
         => ( D = B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) )
     != c ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).

thf(133,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) )
     != c ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( B @ ( A @ ( C @ lam @ app ) ) @ nf ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025) ).

thf(116,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( B @ ( A @ ( C @ lam @ app ) ) @ nf ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(1,conjecture,
    ? [A: $i] :
      ( ( b @ ( b @ arr ) @ ( a @ arr ) @ ( A @ ( nil @ tc ) ) )
      & ( A @ nf ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_036) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] :
        ( ( b @ ( b @ arr ) @ ( a @ arr ) @ ( A @ ( nil @ tc ) ) )
        & ( A @ nf ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(38,plain,
    ~ ? [A: $i] :
        ( ( b @ ( b @ arr ) @ ( a @ arr ) @ ( A @ ( nil @ tc ) ) )
        & ( A @ nf ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(33,axiom,
    ! [A: $i] : ( A @ var @ nf ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_027) ).

thf(160,plain,
    ! [A: $i] : ( A @ var @ nf ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(27,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ index ) )
        = nothing )
     => ~ ( B @ ( C @ var @ ( A @ tc ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_034) ).

thf(137,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( A @ index ) )
        = nothing )
     => ~ ( B @ ( C @ var @ ( A @ tc ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( A @ ( nil @ index ) )
      = nothing ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_028) ).

thf(165,plain,
    ! [A: $i] :
      ( ( A @ ( nil @ index ) )
      = nothing ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(29,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( B
       != ( B @ proj2Arr @ ( B @ proj1Arr @ arr ) ) )
     => ~ ( B @ ( C @ lam @ ( A @ tc ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_032) ).

thf(144,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( B
       != ( B @ proj2Arr @ ( B @ proj1Arr @ arr ) ) )
     => ~ ( B @ ( C @ lam @ ( A @ tc ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( A @ lam )
     != ( B @ var ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).

thf(86,plain,
    ! [A: $i,B: $i] :
      ( ( A @ lam )
     != ( B @ var ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(37,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).

thf(172,plain,
    a != b,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(14,axiom,
    ! [A: $i] :
      ( nothing
     != ( A @ just ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).

thf(76,plain,
    ! [A: $i] :
      ( nothing
     != ( A @ just ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(34,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) @ proj2Arr )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).

thf(162,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) @ proj2Arr )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(22,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) )
     != b ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).

thf(112,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arr ) )
     != b ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(31,axiom,
    a != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).

thf(154,plain,
    a != c,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( C @ ( B @ ( A @ app ) ) )
     != ( D @ lam ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_021) ).

thf(72,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( C @ ( B @ ( A @ app ) ) )
     != ( D @ lam ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(4,axiom,
    ! [A: $i] :
      ( zero
     != ( A @ suc ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).

thf(43,plain,
    ! [A: $i] :
      ( zero
     != ( A @ suc ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ app ) ) @ proj1App )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).

thf(47,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( A @ app ) ) @ proj1App )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(12,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( C @ ( B @ ( A @ app ) ) )
     != ( D @ var ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).

thf(68,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( C @ ( B @ ( A @ app ) ) )
     != ( D @ var ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(10,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ suc @ ( B @ ( A @ cons ) @ index ) )
      = ( C @ ( B @ index ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_030) ).

thf(62,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ suc @ ( B @ ( A @ cons ) @ index ) )
      = ( C @ ( B @ index ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( A @ lam @ proj1Lam )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).

thf(90,plain,
    ! [A: $i] :
      ( ( A @ lam @ proj1Lam )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ cons ) @ head )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_001) ).

thf(83,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ cons ) @ head )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(175,plain,
    $false,
    inference(e,[status(thm)],[56,157,93,102,65,53,96,148,59,140,80,50,40,119,168,126,133,116,38,160,137,165,144,86,172,76,162,112,154,72,43,47,68,62,90,83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX222+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.10  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.17/0.43  % Computer : n014.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Sat Sep 26 16:58:35 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 0.17/0.44  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.86/1.03  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.35/1.24  % [INFO] 	 Parsing done (211ms). 
% 1.35/1.26  % [INFO] 	 Running in sequential loop mode. 
% 2.07/1.67  % [INFO] 	 eprover registered as external prover. 
% 2.07/1.68  % [INFO] 	 Scanning for conjecture ... 
% 2.28/1.78  % [INFO] 	 Found a conjecture (or negated_conjecture) and 35 axioms. Running axiom selection ... 
% 2.46/1.86  % [INFO] 	 Axiom selection finished. Selected 35 axioms (removed 0 axioms). 
% 2.66/1.93  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.66/1.94  % [INFO] 	 Type checking passed. 
% 2.66/1.94  % [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 ... 
% 4.99/2.82  % External prover 'e' found a proof!
% 4.99/2.82  % [INFO] 	 Killing All external provers ... 
% 4.99/2.83  % Time passed: 2244ms (effective reasoning time: 1561ms)
% 4.99/2.83  % Solved by 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)>
% 4.99/2.83  % Axioms used in derivation (35): axiom_024, axiom_035, axiom_010, axiom_002, axiom_028, axiom_023, axiom_034, axiom_005, axiom_012, axiom_001, axiom_011, axiom_030, axiom_029, axiom_025, axiom_003, axiom_014, axiom_007, axiom_018, axiom_009, axiom_017, axiom_021, axiom_032, axiom_013, axiom_006, axiom_016, axiom_027, axiom_031, axiom_015, axiom_004, axiom_033, axiom_022, axiom_026, axiom_020, axiom_019, axiom_008
% 4.99/2.83  % No. of inferences in proof: 74
% 4.99/2.83  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2244 ms resp. 1561 ms w/o parsing
% 5.32/2.92  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.32/2.92  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------