TSTP Solution File: LAT271-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LAT271-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 : Tue Apr 30 13:21:21 EDT 2024

% Result   : Unsatisfiable 0.15s 0.34s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,plain,
    $false,
    inference(subsumption_resolution,[],[f6,f3]) ).

fof(f3,axiom,
    ~ c_in(c_Pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f6,plain,
    c_in(c_Pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    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) ).

fof(f5,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(v_S,c_Tarski_Ointerval(X0,X1,X2,t_a),tc_set(t_a))
      | c_in(c_Pair(X1,v_x,t_a,t_a),X0,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f4,f2]) ).

fof(f2,axiom,
    c_in(v_x,v_S,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(X0,X1,X2)
      | ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
      | c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2)) ),
    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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : LAT271-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Apr 29 21:52:10 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (8688)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (8695)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [3]
% 0.15/0.33  TRYING [4]
% 0.15/0.34  TRYING [5]
% 0.15/0.34  % (8693)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.34  % (8693)First to succeed.
% 0.15/0.34  % (8693)Refutation found. Thanks to Tanya!
% 0.15/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34  % (8693)------------------------------
% 0.15/0.34  % (8693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.34  % (8693)Termination reason: Refutation
% 0.15/0.34  
% 0.15/0.34  % (8693)Memory used [KB]: 743
% 0.15/0.34  % (8693)Time elapsed: 0.002 s
% 0.15/0.34  % (8693)Instructions burned: 2 (million)
% 0.15/0.34  % (8693)------------------------------
% 0.15/0.34  % (8693)------------------------------
% 0.15/0.34  % (8688)Success in time 0.03 s
%------------------------------------------------------------------------------