TSTP Solution File: LCL398-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 13:54:13 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_64,negated_conjecture,
    ~ is_a_theorem(implies(not(implies(x,x)),y)),
    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(c1,plain,
    ( ~ is_a_theorem(X9)
    | is_a_theorem(implies(not(X9),X8)) ),
    inference(resolution,status(thm),[condensed_detachment,cn_3]) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X2),X2),X2)),
    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(X21,X22))
    | is_a_theorem(implies(implies(X22,X23),implies(X21,X23))) ),
    inference(resolution,status(thm),[cn_1,condensed_detachment]) ).

cnf(c13,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(X49),X51),X50))
    | is_a_theorem(implies(X49,X50)) ),
    inference(resolution,status(thm),[c13,condensed_detachment]) ).

cnf(c42,plain,
    is_a_theorem(implies(X55,X55)),
    inference(resolution,status(thm),[c21,cn_2]) ).

cnf(c56,plain,
    is_a_theorem(implies(not(implies(X61,X61)),X60)),
    inference(resolution,status(thm),[c42,c1]) ).

cnf(c62,plain,
    $false,
    inference(resolution,status(thm),[c56,prove_cn_64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL398-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 23:12:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.55  # Version:  1.3
% 0.20/0.55  # SZS status Unsatisfiable
% 0.20/0.55  # SZS output start CNFRefutation
% See solution above
% 0.20/0.55  
% 0.20/0.55  # Initial clauses    : 5
% 0.20/0.55  # Processed clauses  : 23
% 0.20/0.55  # Factors computed   : 0
% 0.20/0.55  # Resolvents computed: 71
% 0.20/0.55  # Tautologies deleted: 1
% 0.20/0.55  # Forward subsumed   : 6
% 0.20/0.55  # Backward subsumed  : 0
% 0.20/0.55  # -------- CPU Time ---------
% 0.20/0.55  # User time          : 0.185 s
% 0.20/0.55  # System time        : 0.018 s
% 0.20/0.55  # Total time         : 0.203 s
%------------------------------------------------------------------------------