TSTP Solution File: LCL033-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 13:51:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c0_2,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(b,a))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X2,X3))
    | ~ is_a_theorem(X2)
    | is_a_theorem(X3) ),
    input ).

cnf(c0_CAMerideth,axiom,
    is_a_theorem(implies(implies(implies(implies(implies(X7,X6),implies(X8,falsehood)),X5),X4),implies(implies(X4,X7),implies(X8,X7)))),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X12,X10),implies(X13,falsehood)),X9),X11))
    | is_a_theorem(implies(implies(X11,X12),implies(X13,X12))) ),
    inference(resolution,status(thm),[c0_CAMerideth,condensed_detachment]) ).

cnf(c1,plain,
    is_a_theorem(implies(implies(implies(implies(X15,X16),implies(X18,X16)),implies(X16,X14)),implies(X17,implies(X16,X14)))),
    inference(resolution,status(thm),[c0,c0_CAMerideth]) ).

cnf(c2,plain,
    is_a_theorem(implies(implies(implies(X21,implies(falsehood,X20)),X22),implies(X19,X22))),
    inference(resolution,status(thm),[c1,c0]) ).

cnf(c4,plain,
    is_a_theorem(implies(implies(implies(X24,X23),X25),implies(falsehood,X25))),
    inference(resolution,status(thm),[c2,c0]) ).

cnf(c6,plain,
    is_a_theorem(implies(implies(implies(falsehood,X27),X28),implies(X26,X28))),
    inference(resolution,status(thm),[c4,c0]) ).

cnf(c3,plain,
    ( ~ is_a_theorem(implies(implies(implies(X36,X39),implies(X37,X39)),implies(X39,X40)))
    | is_a_theorem(implies(X38,implies(X39,X40))) ),
    inference(resolution,status(thm),[c1,condensed_detachment]) ).

cnf(c15,plain,
    is_a_theorem(implies(X44,implies(X45,implies(X46,X45)))),
    inference(resolution,status(thm),[c3,c6]) ).

cnf(c21,plain,
    ( ~ is_a_theorem(X52)
    | is_a_theorem(implies(X50,implies(X51,X50))) ),
    inference(resolution,status(thm),[c15,condensed_detachment]) ).

cnf(c23,plain,
    is_a_theorem(implies(X57,implies(X58,X57))),
    inference(resolution,status(thm),[c21,c6]) ).

cnf(c39,plain,
    $false,
    inference(resolution,status(thm),[c23,prove_c0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33  % Computer : n010.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun Jul  3 10:26:18 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.56  # Version:  1.3
% 0.20/0.56  # SZS status Unsatisfiable
% 0.20/0.56  # SZS output start CNFRefutation
% See solution above
% 0.20/0.56  
% 0.20/0.56  # Initial clauses    : 3
% 0.20/0.56  # Processed clauses  : 16
% 0.20/0.56  # Factors computed   : 0
% 0.20/0.56  # Resolvents computed: 42
% 0.20/0.56  # Tautologies deleted: 0
% 0.20/0.56  # Forward subsumed   : 3
% 0.20/0.56  # Backward subsumed  : 1
% 0.20/0.56  # -------- CPU Time ---------
% 0.20/0.56  # User time          : 0.203 s
% 0.20/0.56  # System time        : 0.015 s
% 0.20/0.56  # Total time         : 0.218 s
%------------------------------------------------------------------------------