TSTP Solution File: LCL076-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL076-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 13:51:51 EDT 2022

% Result   : Unsatisfiable 1.20s 1.45s
% Output   : Refutation 1.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_40,negated_conjecture,
    ~ is_a_theorem(implies(a,not(not(a)))),
    input ).

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

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

cnf(c8,plain,
    ( ~ is_a_theorem(implies(not(X28),not(X27)))
    | is_a_theorem(implies(X27,X28)) ),
    inference(resolution,status(thm),[cn_49,condensed_detachment]) ).

cnf(transitivity,axiom,
    ( ~ is_a_theorem(implies(X30,X31))
    | ~ is_a_theorem(implies(X31,X29))
    | is_a_theorem(implies(X30,X29)) ),
    input ).

cnf(c13,plain,
    ( ~ is_a_theorem(implies(X147,implies(not(X149),not(X148))))
    | is_a_theorem(implies(X147,implies(X148,X149))) ),
    inference(resolution,status(thm),[transitivity,cn_49]) ).

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

cnf(c143,plain,
    is_a_theorem(implies(not(X152),implies(X152,X153))),
    inference(resolution,status(thm),[c13,cn_18]) ).

cnf(c152,plain,
    is_a_theorem(implies(not(not(X157)),implies(X156,X157))),
    inference(resolution,status(thm),[c143,c13]) ).

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

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X49,implies(X50,X51)))
    | is_a_theorem(implies(implies(X49,X50),implies(X49,X51))) ),
    inference(resolution,status(thm),[cn_35,condensed_detachment]) ).

cnf(c39,plain,
    is_a_theorem(implies(implies(implies(X473,implies(X474,X475)),implies(X473,X474)),implies(implies(X473,implies(X474,X475)),implies(X473,X475)))),
    inference(resolution,status(thm),[c4,cn_35]) ).

cnf(c11,plain,
    ( ~ is_a_theorem(implies(X33,X32))
    | is_a_theorem(implies(X33,implies(X34,X32))) ),
    inference(resolution,status(thm),[transitivity,cn_18]) ).

cnf(c16,plain,
    is_a_theorem(implies(X35,implies(X37,implies(X36,X35)))),
    inference(resolution,status(thm),[c11,cn_18]) ).

cnf(c22,plain,
    ( ~ is_a_theorem(X39)
    | is_a_theorem(implies(X40,implies(X38,X39))) ),
    inference(resolution,status(thm),[c16,condensed_detachment]) ).

cnf(c37,plain,
    is_a_theorem(implies(implies(X52,X53),implies(X52,X52))),
    inference(resolution,status(thm),[c4,cn_18]) ).

cnf(c44,plain,
    ( ~ is_a_theorem(implies(X54,X55))
    | is_a_theorem(implies(X54,X54)) ),
    inference(resolution,status(thm),[c37,condensed_detachment]) ).

cnf(c48,plain,
    is_a_theorem(implies(X56,X56)),
    inference(resolution,status(thm),[c44,c16]) ).

cnf(c62,plain,
    is_a_theorem(implies(X82,implies(X83,implies(X84,X84)))),
    inference(resolution,status(thm),[c48,c22]) ).

cnf(c61,plain,
    is_a_theorem(implies(implies(implies(X623,X622),X623),implies(implies(X623,X622),X622))),
    inference(resolution,status(thm),[c48,c4]) ).

cnf(c703,plain,
    ( ~ is_a_theorem(implies(implies(X974,X975),X974))
    | is_a_theorem(implies(implies(X974,X975),X975)) ),
    inference(resolution,status(thm),[c61,condensed_detachment]) ).

cnf(c959,plain,
    is_a_theorem(implies(implies(implies(X1072,implies(X1071,X1071)),X1070),X1070)),
    inference(resolution,status(thm),[c703,c62]) ).

cnf(c1094,plain,
    ( ~ is_a_theorem(implies(implies(X1137,implies(X1136,X1136)),X1138))
    | is_a_theorem(X1138) ),
    inference(resolution,status(thm),[c959,condensed_detachment]) ).

cnf(c1215,plain,
    is_a_theorem(implies(implies(X1433,implies(X1433,X1434)),implies(X1433,X1434))),
    inference(resolution,status(thm),[c1094,c39]) ).

cnf(c1655,plain,
    ( ~ is_a_theorem(implies(X1576,implies(X1576,X1577)))
    | is_a_theorem(implies(X1576,X1577)) ),
    inference(resolution,status(thm),[c1215,condensed_detachment]) ).

cnf(c1755,plain,
    is_a_theorem(implies(not(not(X1594)),X1594)),
    inference(resolution,status(thm),[c1655,c152]) ).

cnf(c1832,plain,
    is_a_theorem(implies(X1596,not(not(X1596)))),
    inference(resolution,status(thm),[c1755,c8]) ).

cnf(c1852,plain,
    $false,
    inference(resolution,status(thm),[c1832,prove_cn_40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL076-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul  3 02:01:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.20/1.45  # Version:  1.3
% 1.20/1.45  # SZS status Unsatisfiable
% 1.20/1.45  # SZS output start CNFRefutation
% See solution above
% 1.20/1.45  
% 1.20/1.45  # Initial clauses    : 6
% 1.20/1.45  # Processed clauses  : 145
% 1.20/1.45  # Factors computed   : 0
% 1.20/1.45  # Resolvents computed: 1855
% 1.20/1.45  # Tautologies deleted: 2
% 1.20/1.45  # Forward subsumed   : 342
% 1.20/1.45  # Backward subsumed  : 2
% 1.20/1.45  # -------- CPU Time ---------
% 1.20/1.45  # User time          : 1.081 s
% 1.20/1.45  # System time        : 0.017 s
% 1.20/1.45  # Total time         : 1.098 s
%------------------------------------------------------------------------------