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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : LAT274-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n005.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 07:46:55 AM UTC 2026

% Result   : Unsatisfiable 3.79s 2.01s
% Output   : Refutation 4.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   31 (  11 unt;   0 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  :    0 (   0   >;   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_decl,type,
    c_in: $i > $i > $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(v_sko__4mj_decl,type,
    v_sko__4mj: $i > $i > $i > $i ).

thf(v_sko__4mk_decl,type,
    v_sko__4mk: $i > $i > $i > $i ).

thf(v_sko__4mi_decl,type,
    v_sko__4mi: $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(15,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( C @ ( B @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( C @ ( C @ ( v_r @ ( A @ v_sko__4mi ) ) @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ ( v_A @ ( C @ c_in ) ) )
      | ~ ( t_a @ ( B @ ( v_cl @ ( A @ c_Tarski_OisLub ) ) ) ) ),
    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] :
      ( ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( C @ ( B @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( C @ ( C @ ( v_r @ ( A @ v_sko__4mi ) ) @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ ( v_A @ ( C @ c_in ) ) )
      | ~ ( t_a @ ( B @ ( v_cl @ ( A @ c_Tarski_OisLub ) ) ) ) ),
    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 @ ( C @ tc_prod ) @ ( D @ ( C @ ( C @ ( F @ ( A @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( C @ tc_set @ ( C @ ( F @ ( E @ ( D @ c_Tarski_Ointerval ) ) ) @ ( B @ c_lessequals ) ) )
      | ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
    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 @ ( C @ tc_prod ) @ ( D @ ( C @ ( C @ ( F @ ( A @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( C @ tc_set @ ( C @ ( F @ ( E @ ( D @ c_Tarski_Ointerval ) ) ) @ ( B @ c_lessequals ) ) )
      | ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

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

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

thf(7,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B = c_emptyset )
      | ( t_a @ ( B @ ( v_r @ ( D @ ( B @ v_sko__4mj ) ) @ c_in ) ) )
      | ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( A @ ( D @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ tc_set @ ( C @ ( B @ c_lessequals ) ) )
      | ~ ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( A @ ( v_r @ ( B @ ( A @ v_sko__4mk ) ) @ c_Pair ) ) ) @ c_in ) ) ) ),
    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] :
      ( ( B = c_emptyset )
      | ( t_a @ ( B @ ( v_r @ ( D @ ( B @ v_sko__4mj ) ) @ c_in ) ) )
      | ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( A @ ( D @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ tc_set @ ( C @ ( B @ c_lessequals ) ) )
      | ~ ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( A @ ( v_r @ ( B @ ( A @ v_sko__4mk ) ) @ c_Pair ) ) ) @ c_in ) ) ) ),
    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 @ ( C @ tc_prod ) @ ( D @ ( C @ ( C @ ( A @ ( E @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( C @ tc_set @ ( C @ ( F @ ( E @ ( D @ c_Tarski_Ointerval ) ) ) @ ( B @ c_lessequals ) ) )
      | ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
    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 @ ( C @ tc_prod ) @ ( D @ ( C @ ( C @ ( A @ ( E @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( C @ tc_set @ ( C @ ( F @ ( E @ ( D @ c_Tarski_Ointerval ) ) ) @ ( B @ c_lessequals ) ) )
      | ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(8,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B = c_emptyset )
      | ( t_a @ ( B @ ( v_r @ ( B @ ( D @ v_sko__4mk ) ) @ c_in ) ) )
      | ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( D @ ( A @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ tc_set @ ( C @ ( B @ c_lessequals ) ) )
      | ~ ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( v_r @ ( A @ ( B @ v_sko__4mj ) ) @ ( A @ c_Pair ) ) ) @ c_in ) ) ) ),
    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] :
      ( ( B = c_emptyset )
      | ( t_a @ ( B @ ( v_r @ ( B @ ( D @ v_sko__4mk ) ) @ c_in ) ) )
      | ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( D @ ( A @ c_Pair ) ) ) @ c_in ) ) )
      | ~ ( t_a @ tc_set @ ( C @ ( B @ c_lessequals ) ) )
      | ~ ( t_a @ ( t_a @ tc_prod ) @ ( v_r @ ( t_a @ ( t_a @ ( v_r @ ( A @ ( B @ v_sko__4mj ) ) @ ( A @ c_Pair ) ) ) @ c_in ) ) ) ),
    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(76,plain,
    $false,
    inference(e,[status(thm)],[17,18,16,40,42,24,20,46,38,33,44,27,36,30,19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT274-2 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.15/0.56  % Computer : n005.cluster.edu
% 0.15/0.56  % Model    : x86_64 x86_64
% 0.15/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.56  % Memory   : 8046.5625MB
% 0.15/0.56  % OS       : Linux 6.8.0-71-generic
% 0.15/0.56  % CPULimit : 300
% 0.15/0.56  % WCLimit  : 300
% 0.15/0.56  % DateTime : Fri Sep 25 20:22:48 UTC 2026
% 0.15/0.56  % CPUTime  : 
% 0.15/0.56  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
% 0.19/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.19/0.98  % [INFO] 	 Parsing done (119ms). 
% 0.19/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.39/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.39/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.57/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ... 
% 1.57/1.26  % [INFO] 	 Axiom selection finished. Selected 10 axioms (removed 0 axioms). 
% 1.57/1.29  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.57/1.29  % [INFO] 	 Type checking passed. 
% 1.82/1.30  % [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 ... 
% 3.79/2.01  % External prover 'e' found a proof!
% 3.79/2.01  % [INFO] 	 Killing All external provers ... 
% 3.79/2.01  % Time passed: 1356ms (effective reasoning time: 1017ms)
% 3.79/2.01  % 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
% 3.79/2.01  % No. of inferences in proof: 31
% 3.79/2.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1356 ms resp. 1017 ms w/o parsing
% 4.41/2.07  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.41/2.07  % [INFO] 	 Killing All external provers ... 
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