TSTP Solution File: LAT271-2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LAT271-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 : Thu May  9 17:29:34 EDT 2024

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 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   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_7,negated_conjecture,
    ~ c_in(c_Pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_6,negated_conjecture,
    c_in(v_x,v_S,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(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,axiom,
    ( ~ c_in(X3,X7,X2)
    | ~ c_lessequals(X7,c_Tarski_Ointerval(X4,X5,X6,X2),tc_set(X2))
    | c_in(c_Pair(X5,X3,X2,X2),X4,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/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) ).

cnf(c0,plain,
    ( ~ c_in(X8,v_S,t_a)
    | c_in(c_Pair(v_a,X8,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[status(thm)],[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_conjecture_2]) ).

cnf(c1,plain,
    c_in(c_Pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[status(thm)],[c0,cls_conjecture_6]) ).

cnf(c2,plain,
    $false,
    inference(resolution,[status(thm)],[c1,cls_conjecture_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT271-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed May  8 12:49:23 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.52  % Version:  1.5
% 0.18/0.52  % SZS status Unsatisfiable
% 0.18/0.52  % SZS output start CNFRefutation
% See solution above
% 0.18/0.52  
% 0.18/0.52  % Initial clauses    : 4
% 0.18/0.52  % Processed clauses  : 6
% 0.18/0.52  % Factors computed   : 0
% 0.18/0.52  % Resolvents computed: 3
% 0.18/0.52  % Tautologies deleted: 0
% 0.18/0.52  % Forward subsumed   : 0
% 0.18/0.52  % Backward subsumed  : 0
% 0.18/0.52  % -------- CPU Time ---------
% 0.18/0.52  % User time          : 0.153 s
% 0.18/0.52  % System time        : 0.022 s
% 0.18/0.52  % Total time         : 0.175 s
%------------------------------------------------------------------------------