TSTP Solution File: LCL106-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL106-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 17:30:31 EDT 2024

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;   5 RR)
%            Number of literals    :   23 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   57 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_q_2,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_2) ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(equivalent(X2,X3))
    | ~ is_a_theorem(X2)
    | is_a_theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(q_4,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(X7,X9),equivalent(X7,X8)),equivalent(X9,X8))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_4) ).

cnf(c1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X14,X15),equivalent(X14,X13)))
    | is_a_theorem(equivalent(X15,X13)) ),
    inference(resolution,[status(thm)],[q_4,condensed_detachment]) ).

cnf(q_1,axiom,
    is_a_theorem(equivalent(X4,equivalent(equivalent(X6,X5),equivalent(equivalent(X5,X6),X4)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_1) ).

cnf(c0,plain,
    ( ~ is_a_theorem(X11)
    | is_a_theorem(equivalent(equivalent(X10,X12),equivalent(equivalent(X12,X10),X11))) ),
    inference(resolution,[status(thm)],[q_1,condensed_detachment]) ).

cnf(c2,plain,
    is_a_theorem(equivalent(equivalent(X19,X21),equivalent(equivalent(X21,X19),equivalent(equivalent(equivalent(X20,X23),equivalent(X20,X22)),equivalent(X23,X22))))),
    inference(resolution,[status(thm)],[c0,q_4]) ).

cnf(c6,plain,
    ( ~ is_a_theorem(equivalent(X30,X32))
    | is_a_theorem(equivalent(equivalent(X32,X30),equivalent(equivalent(equivalent(X31,X33),equivalent(X31,X29)),equivalent(X33,X29)))) ),
    inference(resolution,[status(thm)],[c2,condensed_detachment]) ).

cnf(c9,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X50,X49),equivalent(equivalent(X46,X50),equivalent(X46,X49))),equivalent(equivalent(equivalent(X51,X47),equivalent(X51,X48)),equivalent(X47,X48)))),
    inference(resolution,[status(thm)],[c6,q_4]) ).

cnf(c24,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X53,equivalent(X52,X55)),equivalent(X53,equivalent(X52,X54))),equivalent(X55,X54))),
    inference(resolution,[status(thm)],[c9,c1]) ).

cnf(c28,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X56,equivalent(X57,X58)),equivalent(X56,equivalent(X57,X59))))
    | is_a_theorem(equivalent(X58,X59)) ),
    inference(resolution,[status(thm)],[c24,condensed_detachment]) ).

cnf(c3,plain,
    is_a_theorem(equivalent(equivalent(X24,X28),equivalent(equivalent(X28,X24),equivalent(X25,equivalent(equivalent(X26,X27),equivalent(equivalent(X27,X26),X25)))))),
    inference(resolution,[status(thm)],[c0,q_1]) ).

cnf(c8,plain,
    ( ~ is_a_theorem(equivalent(X35,X36))
    | is_a_theorem(equivalent(equivalent(X36,X35),equivalent(X34,equivalent(equivalent(X38,X37),equivalent(equivalent(X37,X38),X34))))) ),
    inference(resolution,[status(thm)],[c3,condensed_detachment]) ).

cnf(c13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X80,X79),equivalent(equivalent(X77,X80),equivalent(X77,X79))),equivalent(X76,equivalent(equivalent(X78,X81),equivalent(equivalent(X81,X78),X76))))),
    inference(resolution,[status(thm)],[c8,q_4]) ).

cnf(c40,plain,
    is_a_theorem(equivalent(equivalent(X83,X84),equivalent(equivalent(X82,X83),equivalent(X82,X84)))),
    inference(resolution,[status(thm)],[c13,c28]) ).

cnf(c49,plain,
    $false,
    inference(resolution,[status(thm)],[c40,prove_q_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL106-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed May  8 15:17:53 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.57  % Version:  1.5
% 0.21/0.57  % SZS status Unsatisfiable
% 0.21/0.57  % SZS output start CNFRefutation
% See solution above
% 0.21/0.57  
% 0.21/0.57  % Initial clauses    : 4
% 0.21/0.57  % Processed clauses  : 18
% 0.21/0.57  % Factors computed   : 0
% 0.21/0.57  % Resolvents computed: 50
% 0.21/0.57  % Tautologies deleted: 0
% 0.21/0.57  % Forward subsumed   : 2
% 0.21/0.57  % Backward subsumed  : 0
% 0.21/0.57  % -------- CPU Time ---------
% 0.21/0.57  % User time          : 0.182 s
% 0.21/0.57  % System time        : 0.016 s
% 0.21/0.57  % Total time         : 0.198 s
%------------------------------------------------------------------------------