TSTP Solution File: SWV864-1 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWV864-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n028.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 : Fri May 19 12:19:00 EDT 2023

% Result   : Unsatisfiable 3.33s 1.75s
% Output   : Refutation 3.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   49
% Syntax   : Number of formulae    :   79 (  17 unt;  20 typ;   0 def)
%            Number of atoms       :  107 (  36 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  420 (  56   ~;  48   |;   0   &; 316   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  11 con; 0-5 aty)
%            Number of variables   :  148 (   0   ^; 148   !;   0   ?; 148   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_Hoare__Mirabelle_Ostate__not__singleton_type,type,
    c_Hoare__Mirabelle_Ostate__not__singleton: $o ).

thf(c_Natural_Oevalc_type,type,
    c_Natural_Oevalc: $i > $i > $i > $o ).

thf(v_c_type,type,
    v_c: $i ).

thf(v_x_type,type,
    v_x: $i ).

thf(v_xa_type,type,
    v_xa: $i ).

thf(v_xb_type,type,
    v_xb: $i > $i ).

thf(c_Fun_Oid_type,type,
    c_Fun_Oid: $i > $i > $i ).

thf(c_Natural_Oevaln_type,type,
    c_Natural_Oevaln: $i > $i > $i > $i > $o ).

thf(c_Com_Ocom_OSKIP_type,type,
    c_Com_Ocom_OSKIP: $i ).

thf(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1_type,type,
    c_Natural_Osko__Natural__Xevaln__elim__cases__4__1: $i > $i > $i > $i > $i > $i ).

thf(c_Com_Ocom_OSemi_type,type,
    c_Com_Ocom_OSemi: $i > $i > $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1_type,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1: $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2_type,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2: $i ).

thf(c_Natural_Osko__Natural__Xevalc__elim__cases__4__1_type,type,
    c_Natural_Osko__Natural__Xevalc__elim__cases__4__1: $i > $i > $i > $i > $i ).

thf(c_Natural_Osko__Natural__Xeval__eq__1__1_type,type,
    c_Natural_Osko__Natural__Xeval__eq__1__1: $i > $i > $i > $i ).

thf(v_sko__Hoare__Mirabelle__Xsingle__stateE__1_type,type,
    v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1_type,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2_type,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).

thf(c_Natural_Osko__Natural__Xevalc__evaln__1__1_type,type,
    c_Natural_Osko__Natural__Xevalc__evaln__1__1: $i > $i > $i > $i ).

thf(25,axiom,
    ! [B: $i,A: $i] :
      ( c_Hoare__Mirabelle_Ostate__not__singleton
      | ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).

thf(88,plain,
    ! [B: $i,A: $i] :
      ( c_Hoare__Mirabelle_Ostate__not__singleton
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(7,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ ( c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @ B @ A @ C @ D @ E ) @ C @ E )
      | ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OSemi @ B @ A ) @ D @ C @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I4_J_1) ).

thf(42,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ ( c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @ B @ A @ C @ D @ E ) @ C @ E )
      | ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OSemi @ B @ A ) @ D @ C @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(24,axiom,
    ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).

thf(85,plain,
    ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(15,axiom,
    ( ( c_Fun_Oid @ v_x @ t_a )
    = v_x ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_id__def_0) ).

thf(65,plain,
    ( ( c_Fun_Oid @ v_x @ t_a )
    = v_x ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(11,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ ( c_Com_Ocom_OSemi @ A @ B ) @ C @ D @ E )
      | ~ ( c_Natural_Oevaln @ B @ F @ D @ E )
      | ~ ( c_Natural_Oevaln @ A @ C @ D @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSemi_0) ).

thf(53,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ ( c_Com_Ocom_OSemi @ A @ B ) @ C @ D @ E )
      | ~ ( c_Natural_Oevaln @ B @ F @ D @ E )
      | ~ ( c_Natural_Oevaln @ A @ C @ D @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(21,axiom,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Natural_Oevalc @ c_Com_Ocom_OSKIP @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I1_J_0) ).

thf(77,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Natural_Oevalc @ c_Com_Ocom_OSKIP @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(6,axiom,
    ! [B: $i,A: $i] : ( c_Natural_Oevaln @ c_Com_Ocom_OSKIP @ A @ B @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSkip_0) ).

thf(41,plain,
    ! [B: $i,A: $i] : ( c_Natural_Oevaln @ c_Com_Ocom_OSKIP @ A @ B @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(3,negated_conjecture,
    ! [A: $i] :
      ( ( A = v_xa )
      | ( c_Natural_Oevalc @ v_c @ v_x @ ( v_xb @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(32,plain,
    ! [A: $i] :
      ( ( A = v_xa )
      | ( c_Natural_Oevalc @ v_c @ v_x @ ( v_xb @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(8,axiom,
    ! [B: $i,A: $i] :
      ( ( c_Com_Ocom_OSemi @ A @ B )
     != c_Com_Ocom_OSKIP ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).

thf(44,plain,
    ! [B: $i,A: $i] :
      ( ( c_Com_Ocom_OSemi @ A @ B )
     != c_Com_Ocom_OSKIP ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(26,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ B @ ( c_Natural_Osko__Natural__Xevalc__evaln__1__1 @ A @ B @ C ) @ C )
      | ~ ( c_Natural_Oevalc @ A @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__evaln_0) ).

thf(91,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ B @ ( c_Natural_Osko__Natural__Xevalc__evaln__1__1 @ A @ B @ C ) @ C )
      | ~ ( c_Natural_Oevalc @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(22,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ B @ ( c_Natural_Osko__Natural__Xeval__eq__1__1 @ A @ B @ C ) @ C )
      | ~ ( c_Natural_Oevalc @ A @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eval__eq_0) ).

thf(80,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ B @ ( c_Natural_Osko__Natural__Xeval__eq__1__1 @ A @ B @ C ) @ C )
      | ~ ( c_Natural_Oevalc @ A @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(28,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Natural_Oevalc @ C @ D @ A )
      | ~ ( c_Natural_Oevalc @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).

thf(95,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Natural_Oevalc @ C @ D @ A )
      | ~ ( c_Natural_Oevalc @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(18,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ ( c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @ B @ A @ C @ D ) @ D )
      | ~ ( c_Natural_Oevalc @ ( c_Com_Ocom_OSemi @ B @ A ) @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I4_J_1) ).

thf(72,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ ( c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @ B @ A @ C @ D ) @ D )
      | ~ ( c_Natural_Oevalc @ ( c_Com_Ocom_OSemi @ B @ A ) @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(12,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ B @ C @ ( c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @ A @ D @ C @ B @ E ) )
      | ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OSemi @ A @ D ) @ B @ C @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I4_J_0) ).

thf(55,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevaln @ A @ B @ C @ ( c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @ A @ D @ C @ B @ E ) )
      | ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OSemi @ A @ D ) @ B @ C @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(1,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(30,plain,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(9,axiom,
    ! [B: $i,A: $i] :
      ( c_Com_Ocom_OSKIP
     != ( c_Com_Ocom_OSemi @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).

thf(47,plain,
    ! [B: $i,A: $i] :
      ( c_Com_Ocom_OSKIP
     != ( c_Com_Ocom_OSemi @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(27,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ ( c_Com_Ocom_OSemi @ A @ B ) @ C @ D )
      | ~ ( c_Natural_Oevalc @ B @ E @ D )
      | ~ ( c_Natural_Oevalc @ A @ C @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).

thf(93,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ ( c_Com_Ocom_OSemi @ A @ B ) @ C @ D )
      | ~ ( c_Natural_Oevalc @ B @ E @ D )
      | ~ ( c_Natural_Oevalc @ A @ C @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(13,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Com_Ocom_OSemi @ A @ B )
       != ( c_Com_Ocom_OSemi @ C @ D ) )
      | ( A = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).

thf(57,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Com_Ocom_OSemi @ A @ B )
       != ( c_Com_Ocom_OSemi @ C @ D ) )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(14,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Com_Ocom_OSemi @ A @ B )
       != ( c_Com_Ocom_OSemi @ C @ D ) )
      | ( B = D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).

thf(61,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Com_Ocom_OSemi @ A @ B )
       != ( c_Com_Ocom_OSemi @ C @ D ) )
      | ( B = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(19,axiom,
    ! [A: $i] : ( c_Natural_Oevalc @ c_Com_Ocom_OSKIP @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).

thf(74,plain,
    ! [A: $i] : ( c_Natural_Oevalc @ c_Com_Ocom_OSKIP @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(17,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ B @ C )
      | ~ ( c_Natural_Oevaln @ A @ B @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eval__eq_1) ).

thf(70,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ B @ C )
      | ~ ( c_Natural_Oevaln @ A @ B @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(4,negated_conjecture,
    ! [A: $i] :
      ( ( A
       != ( v_xb @ A ) )
      | ( A = v_xa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(33,plain,
    ! [A: $i] :
      ( ( A
       != ( v_xb @ A ) )
      | ( A = v_xa ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ! [B: $i,A: $i] :
      ( ( c_Fun_Oid @ A @ B )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_id__apply_0) ).

thf(39,plain,
    ! [B: $i,A: $i] :
      ( ( c_Fun_Oid @ A @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(29,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ B @ ( c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @ A @ C @ B @ D ) )
      | ~ ( c_Natural_Oevalc @ ( c_Com_Ocom_OSemi @ A @ C ) @ B @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I4_J_0) ).

thf(98,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ B @ ( c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @ A @ C @ B @ D ) )
      | ~ ( c_Natural_Oevalc @ ( c_Com_Ocom_OSemi @ A @ C ) @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(10,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Natural_Oevaln @ c_Com_Ocom_OSKIP @ B @ C @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).

thf(50,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Natural_Oevaln @ c_Com_Ocom_OSKIP @ B @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(16,axiom,
    ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).

thf(67,plain,
    ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(2,negated_conjecture,
    ~ ( c_Natural_Oevalc @ v_c @ v_x @ v_xa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(31,plain,
    ~ ( c_Natural_Oevalc @ v_c @ v_x @ v_xa ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(20,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ B @ C )
      | ~ ( c_Natural_Oevaln @ A @ B @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).

thf(75,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Natural_Oevalc @ A @ B @ C )
      | ~ ( c_Natural_Oevaln @ A @ B @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ A )
       != A )
      | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__stateE_0) ).

thf(82,plain,
    ! [A: $i] :
      ( ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ A )
       != A )
      | ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(100,plain,
    $false,
    inference(e,[status(thm)],[88,42,85,65,53,77,41,32,44,91,80,95,72,55,30,47,93,57,61,74,70,33,39,98,50,67,31,75,82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWV864-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:44:49 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.86/0.82  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.29/0.95  % [INFO] 	 Parsing done (135ms). 
% 1.29/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.58/1.17  % [INFO] 	 eprover registered as external prover. 
% 1.58/1.17  % [INFO] 	 cvc4 registered as external prover. 
% 1.78/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.94/1.23  % [INFO] 	 Found a conjecture and 25 axioms. Running axiom selection ... 
% 1.94/1.27  % [INFO] 	 Axiom selection finished. Selected 25 axioms (removed 0 axioms). 
% 1.94/1.30  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.94/1.30  % [INFO] 	 Type checking passed. 
% 1.94/1.31  % [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 ... 
% 3.33/1.75  % External prover 'e' found a proof!
% 3.33/1.75  % [INFO] 	 Killing All external provers ... 
% 3.33/1.75  % Time passed: 1259ms (effective reasoning time: 788ms)
% 3.33/1.75  % 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)>
% 3.33/1.75  % Axioms used in derivation (25): cls_com_Osimps_I3_J_0, cls_evalc_OSemi_0, cls_evalc__evaln_0, cls_id__apply_0, cls_state__not__singleton__def_1, cls_eval__eq_1, cls_com_Osimps_I12_J_0, cls_single__stateE_0, cls_evaln__evalc_0, cls_evaln__elim__cases_I1_J_0, cls_state__not__singleton__def_0, cls_evalc__elim__cases_I4_J_1, cls_evaln__elim__cases_I4_J_0, cls_state__not__singleton__def__raw_0, cls_evaln_OSkip_0, cls_evalc__elim__cases_I1_J_0, cls_evalc_OSkip_0, cls_evalc__elim__cases_I4_J_0, cls_evaln_OSemi_0, cls_com__det_0, cls_com_Osimps_I3_J_1, cls_eval__eq_0, cls_id__def_0, cls_com_Osimps_I13_J_0, cls_evaln__elim__cases_I4_J_1
% 3.33/1.75  % No. of inferences in proof: 59
% 3.33/1.75  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1259 ms resp. 788 ms w/o parsing
% 3.68/1.83  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.68/1.83  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------