TSTP Solution File: LCL360-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL360-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 13:53:59 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_09,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z))),
    input ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X4,implies(not(X4),X3))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X6,X5))
    | ~ is_a_theorem(X6)
    | is_a_theorem(X5) ),
    input ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X12,X10),implies(implies(X10,X11),implies(X12,X11)))),
    input ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X27,X26))
    | is_a_theorem(implies(implies(X26,X28),implies(X27,X28))) ),
    inference(resolution,status(thm),[cn_1,condensed_detachment]) ).

cnf(c15,plain,
    is_a_theorem(implies(implies(implies(not(X31),X33),X32),implies(X31,X32))),
    inference(resolution,status(thm),[c4,cn_3]) ).

cnf(c23,plain,
    $false,
    inference(resolution,status(thm),[c15,prove_cn_09]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL360-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n013.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 : Sat Jul  2 09:42:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.55  # Version:  1.3
% 0.19/0.55  # SZS status Unsatisfiable
% 0.19/0.55  # SZS output start CNFRefutation
% See solution above
% 0.19/0.55  
% 0.19/0.55  # Initial clauses    : 5
% 0.19/0.55  # Processed clauses  : 14
% 0.19/0.55  # Factors computed   : 0
% 0.19/0.55  # Resolvents computed: 24
% 0.19/0.55  # Tautologies deleted: 0
% 0.19/0.55  # Forward subsumed   : 2
% 0.19/0.55  # Backward subsumed  : 0
% 0.19/0.55  # -------- CPU Time ---------
% 0.19/0.55  # User time          : 0.194 s
% 0.19/0.55  # System time        : 0.019 s
% 0.19/0.55  # Total time         : 0.213 s
%------------------------------------------------------------------------------