TSTP Solution File: LCL077-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL077-1 : 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 13:51:52 EDT 2022

% Result   : Unsatisfiable 0.81s 1.03s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X5,X4))
    | ~ is_a_theorem(X5)
    | is_a_theorem(X4) ),
    input ).

cnf(cn_35,axiom,
    is_a_theorem(implies(implies(X13,implies(X12,X11)),implies(implies(X13,X12),implies(X13,X11)))),
    input ).

cnf(c5,plain,
    ( ~ is_a_theorem(implies(X50,implies(X49,X51)))
    | is_a_theorem(implies(implies(X50,X49),implies(X50,X51))) ),
    inference(resolution,status(thm),[cn_35,condensed_detachment]) ).

cnf(c18,plain,
    is_a_theorem(implies(implies(implies(X148,implies(X147,X149)),implies(X148,X147)),implies(implies(X148,implies(X147,X149)),implies(X148,X149)))),
    inference(resolution,status(thm),[c5,cn_35]) ).

cnf(cn_18,axiom,
    is_a_theorem(implies(X3,implies(X2,X3))),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(X6)
    | is_a_theorem(implies(X7,X6)) ),
    inference(resolution,status(thm),[condensed_detachment,cn_18]) ).

cnf(c1,plain,
    is_a_theorem(implies(X10,implies(X8,implies(X9,X8)))),
    inference(resolution,status(thm),[c0,cn_18]) ).

cnf(c2,plain,
    is_a_theorem(implies(X18,implies(X17,implies(X19,implies(X20,X19))))),
    inference(resolution,status(thm),[c1,c0]) ).

cnf(c6,plain,
    is_a_theorem(implies(X36,implies(X37,implies(X34,implies(X35,implies(X33,X35)))))),
    inference(resolution,status(thm),[c2,c0]) ).

cnf(c21,plain,
    is_a_theorem(implies(implies(X57,X58),implies(X57,X57))),
    inference(resolution,status(thm),[c5,cn_18]) ).

cnf(c28,plain,
    ( ~ is_a_theorem(implies(X59,X60))
    | is_a_theorem(implies(X59,X59)) ),
    inference(resolution,status(thm),[c21,condensed_detachment]) ).

cnf(c31,plain,
    is_a_theorem(implies(X61,X61)),
    inference(resolution,status(thm),[c28,c6]) ).

cnf(c43,plain,
    is_a_theorem(implies(X81,implies(X80,X80))),
    inference(resolution,status(thm),[c31,c0]) ).

cnf(c49,plain,
    is_a_theorem(implies(X92,implies(X94,implies(X93,X93)))),
    inference(resolution,status(thm),[c43,c0]) ).

cnf(c41,plain,
    is_a_theorem(implies(implies(implies(X198,X197),X198),implies(implies(X198,X197),X197))),
    inference(resolution,status(thm),[c31,c5]) ).

cnf(c156,plain,
    ( ~ is_a_theorem(implies(implies(X295,X296),X295))
    | is_a_theorem(implies(implies(X295,X296),X296)) ),
    inference(resolution,status(thm),[c41,condensed_detachment]) ).

cnf(c208,plain,
    is_a_theorem(implies(implies(implies(X353,implies(X352,X352)),X354),X354)),
    inference(resolution,status(thm),[c156,c49]) ).

cnf(c274,plain,
    ( ~ is_a_theorem(implies(implies(X411,implies(X410,X410)),X409))
    | is_a_theorem(X409) ),
    inference(resolution,status(thm),[c208,condensed_detachment]) ).

cnf(c344,plain,
    is_a_theorem(implies(implies(X636,implies(X636,X637)),implies(X636,X637))),
    inference(resolution,status(thm),[c274,c18]) ).

cnf(c517,plain,
    ( ~ is_a_theorem(implies(X731,implies(X731,X732)))
    | is_a_theorem(implies(X731,X732)) ),
    inference(resolution,status(thm),[c344,condensed_detachment]) ).

cnf(cn_49,axiom,
    is_a_theorem(implies(implies(not(X26),not(X25)),implies(X25,X26))),
    input ).

cnf(c8,plain,
    is_a_theorem(implies(X43,implies(implies(not(X45),not(X44)),implies(X44,X45)))),
    inference(resolution,status(thm),[cn_49,c0]) ).

cnf(c19,plain,
    is_a_theorem(implies(implies(X169,implies(not(X171),not(X170))),implies(X169,implies(X170,X171)))),
    inference(resolution,status(thm),[c5,c8]) ).

cnf(c217,plain,
    is_a_theorem(implies(implies(implies(X358,implies(X359,X358)),X357),X357)),
    inference(resolution,status(thm),[c156,c1]) ).

cnf(c282,plain,
    ( ~ is_a_theorem(implies(implies(X455,implies(X456,X455)),X454))
    | is_a_theorem(X454) ),
    inference(resolution,status(thm),[c217,condensed_detachment]) ).

cnf(c380,plain,
    is_a_theorem(implies(not(X474),implies(X474,X475))),
    inference(resolution,status(thm),[c282,c19]) ).

cnf(c122,plain,
    ( ~ is_a_theorem(implies(X1051,implies(not(X1053),not(X1052))))
    | is_a_theorem(implies(X1051,implies(X1052,X1053))) ),
    inference(resolution,status(thm),[c19,condensed_detachment]) ).

cnf(c922,plain,
    is_a_theorem(implies(not(not(X1062)),implies(X1061,X1062))),
    inference(resolution,status(thm),[c122,c380]) ).

cnf(c941,plain,
    is_a_theorem(implies(not(not(X1063)),X1063)),
    inference(resolution,status(thm),[c922,c517]) ).

cnf(c955,plain,
    $false,
    inference(resolution,status(thm),[c941,prove_cn_39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul  3 12:48:11 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.81/1.03  # Version:  1.3
% 0.81/1.03  # SZS status Unsatisfiable
% 0.81/1.03  # SZS output start CNFRefutation
% See solution above
% 0.81/1.03  
% 0.81/1.03  # Initial clauses    : 5
% 0.81/1.03  # Processed clauses  : 106
% 0.81/1.03  # Factors computed   : 0
% 0.81/1.03  # Resolvents computed: 973
% 0.81/1.03  # Tautologies deleted: 1
% 0.81/1.03  # Forward subsumed   : 241
% 0.81/1.03  # Backward subsumed  : 2
% 0.81/1.03  # -------- CPU Time ---------
% 0.81/1.03  # User time          : 0.664 s
% 0.81/1.03  # System time        : 0.017 s
% 0.81/1.03  # Total time         : 0.681 s
%------------------------------------------------------------------------------