TSTP Solution File: LCL362-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL362-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 13:54:00 EDT 2022

% Result   : Unsatisfiable 0.52s 0.70s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_11,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
    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,X11),implies(implies(X11,X10),implies(X12,X10)))),
    input ).

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

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

cnf(c14,plain,
    is_a_theorem(implies(implies(implies(not(X33),X31),X32),implies(X33,X32))),
    inference(resolution,status(thm),[c4,cn_3]) ).

cnf(c21,plain,
    ( ~ is_a_theorem(implies(implies(not(X50),X51),X49))
    | is_a_theorem(implies(X50,X49)) ),
    inference(resolution,status(thm),[c14,condensed_detachment]) ).

cnf(c0,plain,
    ( ~ is_a_theorem(X8)
    | is_a_theorem(implies(not(X8),X7)) ),
    inference(resolution,status(thm),[condensed_detachment,cn_3]) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X2),X2),X2)),
    input ).

cnf(c43,plain,
    is_a_theorem(implies(X56,X56)),
    inference(resolution,status(thm),[c21,cn_2]) ).

cnf(c57,plain,
    is_a_theorem(implies(not(implies(X67,X67)),X66)),
    inference(resolution,status(thm),[c43,c0]) ).

cnf(c65,plain,
    is_a_theorem(implies(implies(X114,X116),implies(not(implies(X115,X115)),X116))),
    inference(resolution,status(thm),[c57,c4]) ).

cnf(c120,plain,
    is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
    inference(resolution,status(thm),[c65,c21]) ).

cnf(c127,plain,
    is_a_theorem(implies(implies(implies(not(implies(X217,X217)),X216),X219),implies(X218,X219))),
    inference(resolution,status(thm),[c120,c4]) ).

cnf(c253,plain,
    ( ~ is_a_theorem(implies(implies(not(implies(X222,X222)),X221),X220))
    | is_a_theorem(implies(X223,X220)) ),
    inference(resolution,status(thm),[c127,condensed_detachment]) ).

cnf(c13,plain,
    is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
    inference(resolution,status(thm),[c4,cn_2]) ).

cnf(c18,plain,
    ( ~ is_a_theorem(implies(X34,X35))
    | is_a_theorem(implies(implies(not(X34),X34),X35)) ),
    inference(resolution,status(thm),[c13,condensed_detachment]) ).

cnf(c24,plain,
    is_a_theorem(implies(implies(not(implies(X224,X225)),implies(X224,X225)),implies(implies(not(X224),X224),X225))),
    inference(resolution,status(thm),[c18,c13]) ).

cnf(c273,plain,
    is_a_theorem(implies(X250,implies(implies(not(X251),X251),X251))),
    inference(resolution,status(thm),[c24,c253]) ).

cnf(c312,plain,
    $false,
    inference(resolution,status(thm),[c273,prove_cn_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL362-1 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n004.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  : 600
% 0.14/0.35  % DateTime : Mon Jul  4 17:40:38 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.52/0.70  # Version:  1.3
% 0.52/0.70  # SZS status Unsatisfiable
% 0.52/0.70  # SZS output start CNFRefutation
% See solution above
% 0.52/0.70  
% 0.52/0.70  # Initial clauses    : 5
% 0.52/0.70  # Processed clauses  : 53
% 0.52/0.70  # Factors computed   : 0
% 0.52/0.70  # Resolvents computed: 317
% 0.52/0.70  # Tautologies deleted: 1
% 0.52/0.70  # Forward subsumed   : 43
% 0.52/0.70  # Backward subsumed  : 3
% 0.52/0.70  # -------- CPU Time ---------
% 0.52/0.70  # User time          : 0.327 s
% 0.52/0.70  # System time        : 0.022 s
% 0.52/0.70  # Total time         : 0.349 s
%------------------------------------------------------------------------------