TSTP Solution File: LAT274-2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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  : 600s
% DateTime : Sun Jul 17 06:50:00 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   55 (  16 unt;  20 nHn;  55 RR)
%            Number of literals    :  134 (   0 equ;  56 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :   22 (  22 usr;  15 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_lessequals(u,v,tc_set(t_a))
    | equal(u,c_emptyset)
    | c_in(v_sko__4mk(w,u,v_r),u,t_a)
    | c_in(v_sko__4mj(u,x,v_r),u,t_a)
    | c_in(c_Pair(x,w,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ c_lessequals(u,v,tc_set(t_a))
    | ~ c_in(c_Pair(v_sko__4mk(w,u,v_r),w,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | equal(u,c_emptyset)
    | c_in(v_sko__4mj(u,x,v_r),u,t_a)
    | c_in(c_Pair(x,w,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ c_lessequals(u,v,tc_set(t_a))
    | ~ c_in(c_Pair(w,v_sko__4mj(u,w,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | equal(u,c_emptyset)
    | c_in(v_sko__4mk(x,u,v_r),u,t_a)
    | c_in(c_Pair(w,x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ c_lessequals(u,v,tc_set(t_a))
    | ~ c_in(c_Pair(w,v_sko__4mj(u,w,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_sko__4mk(x,u,v_r),x,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | equal(u,c_emptyset)
    | c_in(c_Pair(w,x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ c_in(u,v,w)
    | ~ c_lessequals(v,c_Tarski_Ointerval(x,y,z,w),tc_set(w))
    | c_in(c_Pair(y,u,w,w),x,tc_prod(w,w)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ c_in(u,v,w)
    | ~ c_lessequals(v,c_Tarski_Ointerval(x,y,z,w),tc_set(w))
    | c_in(c_Pair(u,z,w,w),x,tc_prod(w,w)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ c_in(c_Pair(u,v,w,w),x,tc_prod(w,w))
    | ~ c_in(c_Pair(v,y,w,w),x,tc_prod(w,w))
    | c_in(v,c_Tarski_Ointerval(x,u,y,w),w) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ c_in(u,v,t_a)
    | ~ c_Tarski_OisLub(v,v_cl,w,t_a)
    | c_in(c_Pair(u,w,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ c_in(u,v_A,t_a)
    | ~ c_Tarski_OisLub(v,v_cl,w,t_a)
    | c_in(v_sko__4mi(v,v_r,u),v,t_a)
    | c_in(c_Pair(w,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ c_in(u,v_A,t_a)
    | ~ c_in(c_Pair(v_sko__4mi(v,v_r,u),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Tarski_OisLub(v,v_cl,w,t_a)
    | c_in(c_Pair(w,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('LAT274-2.p',unknown),
    [] ).

cnf(11,axiom,
    c_in(v_b,v_A,t_a),
    file('LAT274-2.p',unknown),
    [] ).

cnf(12,axiom,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('LAT274-2.p',unknown),
    [] ).

cnf(13,axiom,
    ~ equal(v_S,c_emptyset),
    file('LAT274-2.p',unknown),
    [] ).

cnf(14,axiom,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('LAT274-2.p',unknown),
    [] ).

cnf(15,axiom,
    ~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
    file('LAT274-2.p',unknown),
    [] ).

cnf(22,plain,
    ( ~ c_Tarski_OisLub(u,v_cl,v,t_a)
    | c_in(v_sko__4mi(u,v_r,v_b),u,t_a)
    | c_in(c_Pair(v,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[11,9]),
    [iquote('0:Res:11.0,9.1')] ).

cnf(25,plain,
    ( ~ c_in(u,v_A,t_a)
    | ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,u),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_L,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[14,10]),
    [iquote('0:Res:14.0,10.0')] ).

cnf(26,plain,
    ( ~ c_in(u,v_A,t_a)
    | c_in(v_sko__4mi(v_S,v_r,u),v_S,t_a)
    | c_in(c_Pair(v_L,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[14,9]),
    [iquote('0:Res:14.0,9.0')] ).

cnf(27,plain,
    ( ~ c_in(u,v_S,t_a)
    | c_in(c_Pair(u,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[14,8]),
    [iquote('0:Res:14.0,8.0')] ).

cnf(28,plain,
    ( ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[7,15]),
    [iquote('0:Res:7.2,15.0')] ).

cnf(29,plain,
    ( ~ c_in(u,v_S,t_a)
    | c_in(c_Pair(u,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[12,6]),
    [iquote('0:Res:12.0,6.1')] ).

cnf(30,plain,
    ( ~ c_in(u,v_S,t_a)
    | c_in(c_Pair(v_a,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[12,5]),
    [iquote('0:Res:12.0,5.1')] ).

cnf(31,plain,
    ( c_in(c_Pair(u,v,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mj(v_S,u,v_r),v_S,t_a)
    | c_in(v_sko__4mk(v,v_S,v_r),v_S,t_a)
    | equal(v_S,c_emptyset) ),
    inference(res,[status(thm),theory(equality)],[12,1]),
    [iquote('0:Res:12.0,1.0')] ).

cnf(32,plain,
    ( ~ c_in(c_Pair(u,v_sko__4mj(v_S,u,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(u,v,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mk(v,v_S,v_r),v_S,t_a)
    | equal(v_S,c_emptyset) ),
    inference(res,[status(thm),theory(equality)],[12,3]),
    [iquote('0:Res:12.0,3.1')] ).

cnf(33,plain,
    ( ~ c_in(c_Pair(v_sko__4mk(u,v_S,v_r),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v,u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mj(v_S,v,v_r),v_S,t_a)
    | equal(v_S,c_emptyset) ),
    inference(res,[status(thm),theory(equality)],[12,2]),
    [iquote('0:Res:12.0,2.1')] ).

cnf(34,plain,
    ( ~ c_in(c_Pair(u,v_sko__4mj(v_S,u,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_sko__4mk(v,v_S,v_r),v,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(u,v,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | equal(v_S,c_emptyset) ),
    inference(res,[status(thm),theory(equality)],[12,4]),
    [iquote('0:Res:12.0,4.2')] ).

cnf(35,plain,
    ( c_in(v_sko__4mk(u,v_S,v_r),v_S,t_a)
    | c_in(v_sko__4mj(v_S,v,v_r),v_S,t_a)
    | c_in(c_Pair(v,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[31,13]),
    [iquote('0:MRR:31.3,13.0')] ).

cnf(36,plain,
    ( ~ c_in(c_Pair(v_sko__4mk(u,v_S,v_r),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mj(v_S,v,v_r),v_S,t_a)
    | c_in(c_Pair(v,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[33,13]),
    [iquote('0:MRR:33.3,13.0')] ).

cnf(37,plain,
    ( ~ c_in(c_Pair(u,v_sko__4mj(v_S,u,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mk(v,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(u,v,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[32,13]),
    [iquote('0:MRR:32.3,13.0')] ).

cnf(38,plain,
    ( ~ c_in(c_Pair(u,v_sko__4mj(v_S,u,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_sko__4mk(v,v_S,v_r),v,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(u,v,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[34,13]),
    [iquote('0:MRR:34.3,13.0')] ).

cnf(43,plain,
    ( ~ c_in(v_b,v_A,t_a)
    | ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
    inference(res,[status(thm),theory(equality)],[26,28]),
    [iquote('0:Res:26.2,28.1')] ).

cnf(44,plain,
    ( ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
    inference(mrr,[status(thm)],[43,11]),
    [iquote('0:MRR:43.0,11.0')] ).

cnf(47,plain,
    ( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
    | c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[14,22]),
    [iquote('0:Res:14.0,22.0')] ).

cnf(49,plain,
    c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
    inference(spt,[spt(split,[position(s1)])],[47]),
    [iquote('1:Spt:47.0')] ).

cnf(57,plain,
    ( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
    | ~ c_in(v_b,v_A,t_a)
    | c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[29,25]),
    [iquote('0:Res:29.1,25.1')] ).

cnf(60,plain,
    c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(mrr,[status(thm)],[57,49,11]),
    [iquote('1:MRR:57.0,57.1,49.0,11.0')] ).

cnf(61,plain,
    ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(mrr,[status(thm)],[28,60]),
    [iquote('1:MRR:28.1,60.0')] ).

cnf(145,plain,
    ( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | c_in(v_sko__4mj(v_S,u,v_r),v_S,t_a)
    | c_in(c_Pair(u,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[27,36]),
    [iquote('0:Res:27.1,36.0')] ).

cnf(146,plain,
    ( c_in(v_sko__4mj(v_S,u,v_r),v_S,t_a)
    | c_in(c_Pair(u,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[145,35]),
    [iquote('0:MRR:145.0,35.0')] ).

cnf(153,plain,
    c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
    inference(res,[status(thm),theory(equality)],[146,61]),
    [iquote('1:Res:146.1,61.0')] ).

cnf(173,plain,
    ( ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
    | c_in(v_sko__4mk(u,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[30,37]),
    [iquote('0:Res:30.1,37.0')] ).

cnf(177,plain,
    ( c_in(v_sko__4mk(u,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[173,153]),
    [iquote('1:MRR:173.0,153.0')] ).

cnf(180,plain,
    c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
    inference(res,[status(thm),theory(equality)],[177,61]),
    [iquote('1:Res:177.1,61.0')] ).

cnf(186,plain,
    ( ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
    | ~ c_in(c_Pair(v_sko__4mk(u,v_S,v_r),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_a,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[30,38]),
    [iquote('0:Res:30.1,38.0')] ).

cnf(190,plain,
    ( ~ c_in(c_Pair(v_sko__4mk(u,v_S,v_r),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_a,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[186,153]),
    [iquote('1:MRR:186.0,153.0')] ).

cnf(199,plain,
    ( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[27,190]),
    [iquote('1:Res:27.1,190.0')] ).

cnf(201,plain,
    $false,
    inference(mrr,[status(thm)],[199,180,61]),
    [iquote('1:MRR:199.0,199.1,180.0,61.0')] ).

cnf(203,plain,
    ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
    inference(spt,[spt(split,[position(sa)])],[201,49]),
    [iquote('1:Spt:201.0,47.0,49.0')] ).

cnf(204,plain,
    c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(spt,[spt(split,[position(s2)])],[47]),
    [iquote('1:Spt:201.0,47.1')] ).

cnf(206,plain,
    ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(mrr,[status(thm)],[44,203]),
    [iquote('1:MRR:44.1,203.0')] ).

cnf(207,plain,
    ( c_in(v_sko__4mk(u,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[173,35]),
    [iquote('0:MRR:173.0,35.1')] ).

cnf(209,plain,
    ( ~ c_in(c_Pair(v_sko__4mk(u,v_S,v_r),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | c_in(c_Pair(v_a,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(mrr,[status(thm)],[186,36]),
    [iquote('0:MRR:186.0,36.1')] ).

cnf(220,plain,
    c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
    inference(res,[status(thm),theory(equality)],[207,206]),
    [iquote('1:Res:207.1,206.0')] ).

cnf(240,plain,
    ( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
    | c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(res,[status(thm),theory(equality)],[27,209]),
    [iquote('0:Res:27.1,209.0')] ).

cnf(242,plain,
    $false,
    inference(mrr,[status(thm)],[240,220,206]),
    [iquote('1:MRR:240.0,240.1,220.0,206.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n029.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  : 600
% 0.12/0.33  % DateTime : Thu Jun 30 05:48:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  
% 0.19/0.45  SPASS V 3.9 
% 0.19/0.45  SPASS beiseite: Proof found.
% 0.19/0.45  % SZS status Theorem
% 0.19/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.45  SPASS derived 198 clauses, backtracked 19 clauses, performed 8 splits and kept 162 clauses.
% 0.19/0.45  SPASS allocated 63371 KBytes.
% 0.19/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.19/0.45  		0:00:00.03 for the input.
% 0.19/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45  		0:00:00.01 for inferences.
% 0.19/0.45  		0:00:00.00 for the backtracking.
% 0.19/0.45  		0:00:00.04 for the reduction.
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Here is a proof with depth 3, length 55 :
% 0.19/0.45  % SZS output start Refutation
% See solution above
% 0.19/0.45  Formulae used in the proof : 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 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_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_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_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_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_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_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_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_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_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_6
% 0.19/0.46  
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