TSTP Solution File: ITP004^2 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : ITP004^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:21:19 EDT 2024

% Result   : Theorem 4.55s 2.17s
% Output   : Refutation 4.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   44
% Syntax   : Number of formulae    :   72 (  25 unt;  18 typ;   0 def)
%            Number of atoms       :  149 (  30 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  602 (   6   ~;   0   |;   4   &; 533   @)
%                                         (   0 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-2 aty)
%            Number of variables   :  100 (   0   ^ 100   !;   0   ?; 100   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(bool_type,type,
    bool: del ).

thf(arr_type,type,
    arr: del > del > del ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(lam_type,type,
    lam: del > ( $i > $i ) > $i ).

thf(p_type,type,
    p: $i > $o ).

thf(inj__o_type,type,
    inj__o: $o > $i ).

thf(c_2Emin_2E_3D_3D_3E_type,type,
    c_2Emin_2E_3D_3D_3E: $i ).

thf(c_2Epred__set_2ESUBSET_type,type,
    c_2Epred__set_2ESUBSET: del > $i ).

thf(c_2Ebool_2E_7E_type,type,
    c_2Ebool_2E_7E: $i ).

thf(c_2Ebool_2E_2F_5C_type,type,
    c_2Ebool_2E_2F_5C: $i ).

thf(c_2Ebool_2EIN_type,type,
    c_2Ebool_2EIN: del > $i ).

thf(c_2Epred__set_2ECHOICE_type,type,
    c_2Epred__set_2ECHOICE: del > $i ).

thf(c_2Epred__set_2EDELETE_type,type,
    c_2Epred__set_2EDELETE: del > $i ).

thf(c_2Epred__set_2EREST_type,type,
    c_2Epred__set_2EREST: del > $i ).

thf(c_2Emin_2E_3D_type,type,
    c_2Emin_2E_3D: del > $i ).

thf(c_2Ebool_2E_21_type,type,
    c_2Ebool_2E_21: del > $i ).

thf(25,axiom,
    ! [A: del] : ( mem @ ( c_2Epred__set_2EDELETE @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ ( arr @ A @ bool ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EDELETE) ).

thf(88,plain,
    ! [A: del] : ( mem @ ( c_2Epred__set_2EDELETE @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ ( arr @ A @ bool ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ( ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
        = ( ~ ( p @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_neg_p) ).

thf(56,plain,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ( ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
        = ( ~ ( p @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(7,axiom,
    mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).

thf(42,plain,
    mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(27,axiom,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ( ( ap @ ( c_2Epred__set_2EREST @ A ) @ B )
        = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A ) @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).

thf(93,plain,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ( ( ap @ ( c_2Epred__set_2EREST @ A ) @ B )
        = ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A ) @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(24,axiom,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ B ) )
        = ( ! [C: $i] :
              ( ( mem @ C @ A )
             => ( p @ ( ap @ B @ C ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_all_p) ).

thf(85,plain,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ B ) )
        = ( ! [C: $i] :
              ( ( mem @ C @ A )
             => ( p @ ( ap @ B @ C ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(1,conjecture,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).

thf(2,negated_conjecture,
    ~ ! [A: del,B: $i] :
        ( ( mem @ B @ ( arr @ A @ bool ) )
       => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(28,plain,
    ~ ! [A: del,B: $i] :
        ( ( mem @ B @ ( arr @ A @ bool ) )
       => ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(13,axiom,
    ! [A: del,B: del,C: $i > $i] :
      ( ! [D: $i] :
          ( ( mem @ D @ A )
         => ( mem @ ( C @ D ) @ B ) )
     => ( mem @ ( lam @ A @ C ) @ ( arr @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lam_tp) ).

thf(53,plain,
    ! [A: del,B: del,C: $i > $i] :
      ( ! [D: $i] :
          ( ( mem @ D @ A )
         => ( mem @ ( C @ D ) @ B ) )
     => ( mem @ ( lam @ A @ C ) @ ( arr @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(21,axiom,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ! [C: $i] :
          ( ( mem @ C @ ( arr @ A @ bool ) )
         => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ B ) @ C ) )
            = ( ! [D: $i] :
                  ( ( mem @ D @ A )
                 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ B ) )
                   => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ C ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).

thf(77,plain,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ! [C: $i] :
          ( ( mem @ C @ ( arr @ A @ bool ) )
         => ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ B ) @ C ) )
            = ( ! [D: $i] :
                  ( ( mem @ D @ A )
                 => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ B ) )
                   => ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ C ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(19,axiom,
    ! [A: del] : ( mem @ ( c_2Epred__set_2EREST @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).

thf(73,plain,
    ! [A: del] : ( mem @ ( c_2Epred__set_2EREST @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ bool ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(15,axiom,
    ! [A: del,B: $i > $i,C: $i] :
      ( ( mem @ C @ A )
     => ( ( ap @ ( lam @ A @ B ) @ C )
        = ( B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta) ).

thf(59,plain,
    ! [A: del,B: $i > $i,C: $i] :
      ( ( mem @ C @ A )
     => ( ( ap @ ( lam @ A @ B ) @ C )
        = ( B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ( A
        = ( inj__o @ ( p @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_o) ).

thf(39,plain,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ( A
        = ( inj__o @ ( p @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(22,axiom,
    ! [A: $o] : ( mem @ ( inj__o @ A ) @ bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_o) ).

thf(80,plain,
    ! [A: $o] : ( mem @ ( inj__o @ A ) @ bool ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(8,axiom,
    ! [A: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ESUBSET) ).

thf(43,plain,
    ! [A: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(20,axiom,
    ! [A: del] : ( mem @ ( c_2Ebool_2EIN @ A ) @ ( arr @ A @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EIN) ).

thf(75,plain,
    ! [A: del] : ( mem @ ( c_2Ebool_2EIN @ A ) @ ( arr @ A @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(4,axiom,
    ! [A: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A ) @ ( arr @ ( arr @ A @ bool ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).

thf(34,plain,
    ! [A: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A ) @ ( arr @ ( arr @ A @ bool ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(9,axiom,
    ! [A: del] : ( mem @ ( c_2Ebool_2E_21 @ A ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_21) ).

thf(45,plain,
    ! [A: del] : ( mem @ ( c_2Ebool_2E_21 @ A ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(11,axiom,
    mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).

thf(50,plain,
    mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(17,axiom,
    mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).

thf(67,plain,
    mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(3,axiom,
    ! [A: del,B: $i] :
      ( ( mem @ B @ A )
     => ! [C: $i] :
          ( ( mem @ C @ A )
         => ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ B ) @ C ) )
            = ( B = C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_eq_p) ).

thf(31,plain,
    ! [A: del,B: $i] :
      ( ( mem @ B @ A )
     => ! [C: $i] :
          ( ( mem @ C @ A )
         => ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ B ) @ C ) )
            = ( B = C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ! [C: $i] :
          ( ( mem @ C @ A )
         => ! [D: $i] :
              ( ( mem @ D @ A )
             => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ D ) ) )
                = ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ B ) )
                  & ( C != D ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).

thf(36,plain,
    ! [A: del,B: $i] :
      ( ( mem @ B @ ( arr @ A @ bool ) )
     => ! [C: $i] :
          ( ( mem @ C @ A )
         => ! [D: $i] :
              ( ( mem @ D @ A )
             => ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ D ) ) )
                = ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ B ) )
                  & ( C != D ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(12,axiom,
    ! [A: del] : ( mem @ ( c_2Emin_2E_3D @ A ) @ ( arr @ A @ ( arr @ A @ bool ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).

thf(51,plain,
    ! [A: del] : ( mem @ ( c_2Emin_2E_3D @ A ) @ ( arr @ A @ ( arr @ A @ bool ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ! [B: $i] :
          ( ( mem @ B @ bool )
         => ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) )
            = ( ( p @ A )
              & ( p @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_and_p) ).

thf(47,plain,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ! [B: $i] :
          ( ( mem @ B @ bool )
         => ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) )
            = ( ( p @ A )
              & ( p @ B ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(18,axiom,
    ! [A: $o] :
      ( ( p @ ( inj__o @ A ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_o) ).

thf(68,plain,
    ! [A: $o] :
      ( ( p @ ( inj__o @ A ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(16,axiom,
    ! [A: del,B: del,C: $i] :
      ( ( mem @ C @ ( arr @ A @ B ) )
     => ! [D: $i] :
          ( ( mem @ D @ ( arr @ A @ B ) )
         => ( ! [E: $i] :
                ( ( mem @ E @ A )
               => ( ( ap @ C @ E )
                  = ( ap @ D @ E ) ) )
           => ( C = D ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcext) ).

thf(62,plain,
    ! [A: del,B: del,C: $i] :
      ( ( mem @ C @ ( arr @ A @ B ) )
     => ! [D: $i] :
          ( ( mem @ D @ ( arr @ A @ B ) )
         => ( ! [E: $i] :
                ( ( mem @ E @ A )
               => ( ( ap @ C @ E )
                  = ( ap @ D @ E ) ) )
           => ( C = D ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ! [B: $i] :
          ( ( mem @ B @ bool )
         => ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ A ) @ B ) )
            = ( ( p @ A )
             => ( p @ B ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_imp_p) ).

thf(90,plain,
    ! [A: $i] :
      ( ( mem @ A @ bool )
     => ! [B: $i] :
          ( ( mem @ B @ bool )
         => ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ A ) @ B ) )
            = ( ( p @ A )
             => ( p @ B ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(23,axiom,
    ! [A: del,B: del,C: $i] :
      ( ( mem @ C @ ( arr @ A @ B ) )
     => ! [D: $i] :
          ( ( mem @ D @ A )
         => ( mem @ ( ap @ C @ D ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).

thf(83,plain,
    ! [A: del,B: del,C: $i] :
      ( ( mem @ C @ ( arr @ A @ B ) )
     => ! [D: $i] :
          ( ( mem @ D @ A )
         => ( mem @ ( ap @ C @ D ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(101,plain,
    $false,
    inference(cvc4,[status(thm)],[88,56,42,93,85,28,53,77,73,59,39,80,43,75,34,45,50,67,31,36,51,47,68,62,90,83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP004^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.38  % Computer : n018.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit : 300
% 0.16/0.38  % WCLimit  : 300
% 0.16/0.38  % DateTime : Sat May 18 15:40:09 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.95/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.43/1.07  % [INFO] 	 Parsing done (155ms). 
% 1.57/1.08  % [INFO] 	 Running in sequential loop mode. 
% 2.07/1.37  % [INFO] 	 eprover registered as external prover. 
% 2.07/1.37  % [INFO] 	 cvc4 registered as external prover. 
% 2.07/1.37  % [INFO] 	 Scanning for conjecture ... 
% 2.26/1.44  % [INFO] 	 Found a conjecture (or negated_conjecture) and 25 axioms. Running axiom selection ... 
% 2.39/1.49  % [INFO] 	 Axiom selection finished. Selected 25 axioms (removed 0 axioms). 
% 2.39/1.53  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.61/1.54  % [INFO] 	 Type checking passed. 
% 2.61/1.54  % [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 ... 
% 4.55/2.17  % External prover 'cvc4' found a proof!
% 4.55/2.17  % [INFO] 	 Killing All external provers ... 
% 4.55/2.17  % Time passed: 1625ms (effective reasoning time: 1074ms)
% 4.55/2.17  % 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)>
% 4.55/2.17  % Axioms used in derivation (25): conj_thm_2Epred__set_2EIN__DELETE, funcext, mem_c_2Epred__set_2EDELETE, mem_c_2Ebool_2E_21, ax_and_p, mem_c_2Emin_2E_3D, mem_c_2Ebool_2E_7E, ax_all_p, mem_c_2Epred__set_2EREST, ap_tp, beta, mem_c_2Epred__set_2ESUBSET, lam_tp, mem_c_2Epred__set_2ECHOICE, stp_inj_mem_o, ax_thm_2Epred__set_2EREST__DEF, ax_neg_p, mem_c_2Ebool_2E_2F_5C, stp_inj_surj_o, ax_imp_p, ax_eq_p, ax_thm_2Epred__set_2ESUBSET__DEF, mem_c_2Ebool_2EIN, stp_iso_mem_o, mem_c_2Emin_2E_3D_3D_3E
% 4.55/2.17  % No. of inferences in proof: 54
% 4.55/2.17  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1625 ms resp. 1074 ms w/o parsing
% 4.73/2.23  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.73/2.23  % [INFO] 	 Killing All external provers ... 
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