%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL087-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 13:51:57 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_ic_2,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(b,a))),
    input ).

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

cnf(ic_JLukasiewicz_4,axiom,
    is_a_theorem(implies(implies(implies(X6,X5),implies(X4,X7)),implies(X8,implies(implies(X7,X6),implies(X4,X6))))),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(implies(implies(X11,X12),implies(X13,X9)))
    | is_a_theorem(implies(X10,implies(implies(X9,X11),implies(X13,X11)))) ),
    inference(resolution,status(thm),[ic_JLukasiewicz_4,condensed_detachment]) ).

cnf(c1,plain,
    is_a_theorem(implies(X18,implies(implies(implies(implies(X14,X16),implies(X19,X16)),implies(X16,X17)),implies(X15,implies(X16,X17))))),
    inference(resolution,status(thm),[c0,ic_JLukasiewicz_4]) ).

cnf(c3,plain,
    ( ~ is_a_theorem(X27)
    | is_a_theorem(implies(implies(implies(implies(X31,X32),implies(X29,X32)),implies(X32,X28)),implies(X30,implies(X32,X28)))) ),
    inference(resolution,status(thm),[c1,condensed_detachment]) ).

cnf(c6,plain,
    is_a_theorem(implies(implies(implies(implies(X37,X33),implies(X36,X33)),implies(X33,X34)),implies(X35,implies(X33,X34)))),
    inference(resolution,status(thm),[c3,ic_JLukasiewicz_4]) ).

cnf(c9,plain,
    is_a_theorem(implies(X102,implies(implies(implies(X105,X100),implies(implies(X101,X105),implies(X104,X105))),implies(X103,implies(implies(X101,X105),implies(X104,X105)))))),
    inference(resolution,status(thm),[c6,c0]) ).

cnf(c10,plain,
    ( ~ is_a_theorem(implies(implies(implies(X49,X51),implies(X50,X51)),implies(X51,X48)))
    | is_a_theorem(implies(X52,implies(X51,X48))) ),
    inference(resolution,status(thm),[c6,condensed_detachment]) ).

cnf(c12,plain,
    is_a_theorem(implies(X65,implies(implies(X66,X67),implies(X67,implies(X66,X67))))),
    inference(resolution,status(thm),[c10,c6]) ).

cnf(c21,plain,
    ( ~ is_a_theorem(X115)
    | is_a_theorem(implies(implies(X113,X114),implies(X114,implies(X113,X114)))) ),
    inference(resolution,status(thm),[c12,condensed_detachment]) ).

cnf(c54,plain,
    is_a_theorem(implies(implies(X116,X117),implies(X117,implies(X116,X117)))),
    inference(resolution,status(thm),[c21,c9]) ).

cnf(c65,plain,
    is_a_theorem(implies(X153,implies(implies(implies(X152,X154),X152),implies(X154,X152)))),
    inference(resolution,status(thm),[c54,c0]) ).

cnf(c77,plain,
    ( ~ is_a_theorem(X164)
    | is_a_theorem(implies(implies(implies(X163,X165),X163),implies(X165,X163))) ),
    inference(resolution,status(thm),[c65,condensed_detachment]) ).

cnf(c94,plain,
    is_a_theorem(implies(implies(implies(X166,X167),X166),implies(X167,X166))),
    inference(resolution,status(thm),[c77,c9]) ).

cnf(c106,plain,
    is_a_theorem(implies(X168,implies(X170,implies(X169,X170)))),
    inference(resolution,status(thm),[c94,c10]) ).

cnf(c112,plain,
    ( ~ is_a_theorem(X172)
    | is_a_theorem(implies(X173,implies(X171,X173))) ),
    inference(resolution,status(thm),[c106,condensed_detachment]) ).

cnf(c119,plain,
    is_a_theorem(implies(X175,implies(X174,X175))),
    inference(resolution,status(thm),[c112,c9]) ).

cnf(c131,plain,
    $false,
    inference(resolution,status(thm),[c119,prove_ic_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL087-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul  3 15:01:11 EDT 2022
% 0.13/0.34  % 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    : 3
% 0.19/0.55  # Processed clauses  : 27
% 0.19/0.55  # Factors computed   : 0
% 0.19/0.55  # Resolvents computed: 137
% 0.19/0.55  # Tautologies deleted: 0
% 0.19/0.55  # Forward subsumed   : 21
% 0.19/0.55  # Backward subsumed  : 8
% 0.19/0.55  # -------- CPU Time ---------
% 0.19/0.55  # User time          : 0.196 s
% 0.19/0.55  # System time        : 0.015 s
% 0.19/0.55  # Total time         : 0.211 s
%------------------------------------------------------------------------------