TSTP Solution File: LAT274-2 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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 11:27:16 EDT 2023

% Result   : Unsatisfiable 3.87s 2.01s
% Output   : Refutation 3.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   50 (  11 unt;  19 typ;   0 def)
%            Number of atoms       :   91 (  10 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  660 (  46   ~;  60   |;   0   &; 554   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;  10 con; 0-4 aty)
%            Number of variables   :   84 (   0   ^;  84   !;   0   ?;  84   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_in_type,type,
    c_in: $i > $i > $i > $o ).

thf(v_b_type,type,
    v_b: $i ).

thf(v_A_type,type,
    v_A: $i ).

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

thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(v_S_type,type,
    v_S: $i ).

thf(c_Tarski_Ointerval_type,type,
    c_Tarski_Ointerval: $i > $i > $i > $i > $i ).

thf(v_r_type,type,
    v_r: $i ).

thf(v_a_type,type,
    v_a: $i ).

thf(tc_set_type,type,
    tc_set: $i > $i ).

thf(c_emptyset_type,type,
    c_emptyset: $i ).

thf(c_Tarski_OisLub_type,type,
    c_Tarski_OisLub: $i > $i > $i > $i > $o ).

thf(v_cl_type,type,
    v_cl: $i ).

thf(v_L_type,type,
    v_L: $i ).

thf(c_Pair_type,type,
    c_Pair: $i > $i > $i > $i > $i ).

thf(tc_prod_type,type,
    tc_prod: $i > $i > $i ).

thf(v_sko__4mj_type,type,
    v_sko__4mj: $i > $i > $i > $i ).

thf(v_sko__4mk_type,type,
    v_sko__4mk: $i > $i > $i > $i ).

thf(v_sko__4mi_type,type,
    v_sko__4mi: $i > $i > $i > $i ).

thf(1,negated_conjecture,
    c_in @ v_b @ v_A @ t_a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(17,plain,
    c_in @ v_b @ v_A @ t_a,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
    c_lessequals @ v_S @ ( c_Tarski_Ointerval @ v_r @ v_a @ v_b @ t_a ) @ ( tc_set @ t_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(18,plain,
    c_lessequals @ v_S @ ( c_Tarski_Ointerval @ v_r @ v_a @ v_b @ t_a ) @ ( tc_set @ t_a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,negated_conjecture,
    ~ ( c_in @ v_L @ ( c_Tarski_Ointerval @ v_r @ v_a @ v_b @ t_a ) @ t_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

thf(16,plain,
    ~ ( c_in @ v_L @ ( c_Tarski_Ointerval @ v_r @ v_a @ v_b @ t_a ) @ t_a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(12,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ A @ B @ C @ C ) @ D @ ( tc_prod @ C @ C ) )
      | ~ ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) )
      | ( c_in @ A @ ( c_Tarski_Ointerval @ D @ E @ B @ C ) @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0) ).

thf(40,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ A @ B @ C @ C ) @ D @ ( tc_prod @ C @ C ) )
      | ~ ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) )
      | ( c_in @ A @ ( c_Tarski_Ointerval @ D @ E @ B @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(13,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_Tarski_OisLub @ A @ v_cl @ B @ t_a )
      | ~ ( c_in @ C @ A @ t_a )
      | ( c_in @ ( c_Pair @ C @ B @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).

thf(42,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_Tarski_OisLub @ A @ v_cl @ B @ t_a )
      | ~ ( c_in @ C @ A @ t_a )
      | ( c_in @ ( c_Pair @ C @ B @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(6,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ C @ D @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mj @ A @ C @ v_r ) @ A @ t_a )
      | ( c_in @ ( v_sko__4mk @ D @ A @ v_r ) @ A @ t_a )
      | ( A = c_emptyset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).

thf(24,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ C @ D @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mj @ A @ C @ v_r ) @ A @ t_a )
      | ( c_in @ ( v_sko__4mk @ D @ A @ v_r ) @ A @ t_a )
      | ( A = c_emptyset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(4,negated_conjecture,
    c_Tarski_OisLub @ v_S @ v_cl @ v_L @ t_a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

thf(20,plain,
    c_Tarski_OisLub @ v_S @ v_cl @ v_L @ t_a,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(15,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_Tarski_OisLub @ A @ v_cl @ B @ t_a )
      | ~ ( c_in @ C @ v_A @ t_a )
      | ~ ( c_in @ ( c_Pair @ ( v_sko__4mi @ A @ v_r @ C ) @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( c_Pair @ B @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).

thf(46,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_Tarski_OisLub @ A @ v_cl @ B @ t_a )
      | ~ ( c_in @ C @ v_A @ t_a )
      | ~ ( c_in @ ( c_Pair @ ( v_sko__4mi @ A @ v_r @ C ) @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( c_Pair @ B @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ),
    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_in @ A @ B @ C )
      | ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
      | ( c_in @ ( c_Pair @ A @ F @ C @ C ) @ D @ ( tc_prod @ C @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).

thf(38,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ C )
      | ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
      | ( c_in @ ( c_Pair @ A @ F @ C @ C ) @ D @ ( tc_prod @ C @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(9,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ A @ ( v_sko__4mj @ B @ A @ v_r ) @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_in @ ( c_Pair @ ( v_sko__4mk @ C @ B @ v_r ) @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_lessequals @ B @ D @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ A @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( B = c_emptyset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3) ).

thf(33,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ A @ ( v_sko__4mj @ B @ A @ v_r ) @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_in @ ( c_Pair @ ( v_sko__4mk @ C @ B @ v_r ) @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_lessequals @ B @ D @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ A @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( B = c_emptyset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(14,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_Tarski_OisLub @ A @ v_cl @ B @ t_a )
      | ~ ( c_in @ C @ v_A @ t_a )
      | ( c_in @ ( c_Pair @ B @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mi @ A @ v_r @ C ) @ A @ t_a ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).

thf(44,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( c_Tarski_OisLub @ A @ v_cl @ B @ t_a )
      | ~ ( c_in @ C @ v_A @ t_a )
      | ( c_in @ ( c_Pair @ B @ C @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mi @ A @ v_r @ C ) @ A @ t_a ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(7,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ ( v_sko__4mk @ A @ B @ v_r ) @ A @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_lessequals @ B @ C @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ D @ A @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mj @ B @ D @ v_r ) @ B @ t_a )
      | ( B = c_emptyset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).

thf(27,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ ( v_sko__4mk @ A @ B @ v_r ) @ A @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_lessequals @ B @ C @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ D @ A @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mj @ B @ D @ v_r ) @ B @ t_a )
      | ( B = c_emptyset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(10,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ C )
      | ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
      | ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).

thf(36,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ A @ B @ C )
      | ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
      | ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(8,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ A @ ( v_sko__4mj @ B @ A @ v_r ) @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_lessequals @ B @ C @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ A @ D @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mk @ D @ B @ v_r ) @ B @ t_a )
      | ( B = c_emptyset ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2) ).

thf(30,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( c_in @ ( c_Pair @ A @ ( v_sko__4mj @ B @ A @ v_r ) @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ~ ( c_lessequals @ B @ C @ ( tc_set @ t_a ) )
      | ( c_in @ ( c_Pair @ A @ D @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) )
      | ( c_in @ ( v_sko__4mk @ D @ B @ v_r ) @ B @ t_a )
      | ( B = c_emptyset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(3,negated_conjecture,
    v_S != c_emptyset,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(19,plain,
    v_S != c_emptyset,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(69,plain,
    $false,
    inference(cvc4,[status(thm)],[17,18,16,40,42,24,20,46,38,33,44,27,36,30,19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.38  % Computer : n026.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 : Thu May 18 14:46:36 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 1.07/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.46/1.09  % [INFO] 	 Parsing done (148ms). 
% 1.46/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.81/1.30  % [INFO] 	 eprover registered as external prover. 
% 1.81/1.30  % [INFO] 	 cvc4 registered as external prover. 
% 1.81/1.30  % [INFO] 	 Scanning for conjecture ... 
% 2.09/1.37  % [INFO] 	 Found a conjecture and 10 axioms. Running axiom selection ... 
% 2.09/1.39  % [INFO] 	 Axiom selection finished. Selected 10 axioms (removed 0 axioms). 
% 2.09/1.43  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.09/1.43  % [INFO] 	 Type checking passed. 
% 2.35/1.43  % [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 ... 
% 3.87/2.01  % External prover 'cvc4' found a proof!
% 3.87/2.01  % [INFO] 	 Killing All external provers ... 
% 3.87/2.01  % Time passed: 1444ms (effective reasoning time: 910ms)
% 3.87/2.01  % 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)>
% 3.87/2.01  % Axioms used in derivation (10): cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3, cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1, cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2, cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0, cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0, cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0, cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1, cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0, cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0, cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0
% 3.87/2.01  % No. of inferences in proof: 31
% 3.87/2.01  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1444 ms resp. 910 ms w/o parsing
% 3.87/2.05  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.87/2.05  % [INFO] 	 Killing All external provers ... 
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