TSTP Solution File: LCL069-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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 13:51:48 EDT 2022

% Result   : Unsatisfiable 23.33s 23.55s
% Output   : Refutation 23.33s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_3,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    input ).

cnf(cn_19,axiom,
    is_a_theorem(implies(implies(implies(X5,X6),X4),implies(X6,X4))),
    input ).

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

cnf(cn_37,axiom,
    is_a_theorem(implies(implies(implies(X13,X14),X12),implies(not(X13),X12))),
    input ).

cnf(c5,plain,
    ( ~ is_a_theorem(implies(implies(X50,X51),X49))
    | is_a_theorem(implies(not(X50),X49)) ),
    inference(resolution,status(thm),[cn_37,condensed_detachment]) ).

cnf(c37,plain,
    is_a_theorem(implies(not(implies(X56,X55)),implies(X55,X57))),
    inference(resolution,status(thm),[c5,cn_19]) ).

cnf(cn_59,axiom,
    is_a_theorem(implies(implies(not(X29),X28),implies(implies(X30,X28),implies(implies(X29,X30),X28)))),
    input ).

cnf(c21,plain,
    ( ~ is_a_theorem(implies(not(X221),X222))
    | is_a_theorem(implies(implies(X220,X222),implies(implies(X221,X220),X222))) ),
    inference(resolution,status(thm),[cn_59,condensed_detachment]) ).

cnf(c156,plain,
    is_a_theorem(implies(implies(X807,implies(X810,X808)),implies(implies(implies(X809,X810),X807),implies(X810,X808)))),
    inference(resolution,status(thm),[c21,c37]) ).

cnf(c453,plain,
    ( ~ is_a_theorem(implies(X1020,implies(X1021,X1019)))
    | is_a_theorem(implies(implies(implies(X1018,X1021),X1020),implies(X1021,X1019))) ),
    inference(resolution,status(thm),[c156,condensed_detachment]) ).

cnf(c541,plain,
    is_a_theorem(implies(implies(implies(X1186,X1185),implies(implies(X1187,X1185),X1188)),implies(X1185,X1188))),
    inference(resolution,status(thm),[c453,cn_19]) ).

cnf(c743,plain,
    ( ~ is_a_theorem(implies(implies(X1384,X1383),implies(implies(X1385,X1383),X1386)))
    | is_a_theorem(implies(X1383,X1386)) ),
    inference(resolution,status(thm),[c541,condensed_detachment]) ).

cnf(c869,plain,
    is_a_theorem(implies(X1387,X1387)),
    inference(resolution,status(thm),[c743,cn_19]) ).

cnf(c0,plain,
    ( ~ is_a_theorem(implies(implies(X8,X7),X9))
    | is_a_theorem(implies(X7,X9)) ),
    inference(resolution,status(thm),[cn_19,condensed_detachment]) ).

cnf(c1,plain,
    is_a_theorem(implies(X11,implies(X10,X11))),
    inference(resolution,status(thm),[c0,cn_19]) ).

cnf(c36,plain,
    is_a_theorem(implies(not(X53),implies(X54,implies(X53,X52)))),
    inference(resolution,status(thm),[c5,c1]) ).

cnf(c593,plain,
    is_a_theorem(implies(implies(implies(X1100,X1099),not(X1101)),implies(X1099,implies(X1101,X1102)))),
    inference(resolution,status(thm),[c453,c36]) ).

cnf(c877,plain,
    is_a_theorem(implies(not(X1422),implies(X1422,X1423))),
    inference(resolution,status(thm),[c743,c593]) ).

cnf(c974,plain,
    is_a_theorem(implies(implies(X2969,implies(X2970,X2968)),implies(implies(X2970,X2969),implies(X2970,X2968)))),
    inference(resolution,status(thm),[c877,c21]) ).

cnf(c1981,plain,
    ( ~ is_a_theorem(implies(X3255,implies(X3256,X3254)))
    | is_a_theorem(implies(implies(X3256,X3255),implies(X3256,X3254))) ),
    inference(resolution,status(thm),[c974,condensed_detachment]) ).

cnf(c2196,plain,
    is_a_theorem(implies(implies(X3308,implies(X3308,X3307)),implies(X3308,X3307))),
    inference(resolution,status(thm),[c1981,c869]) ).

cnf(c2252,plain,
    ( ~ is_a_theorem(implies(X3348,implies(X3348,X3349)))
    | is_a_theorem(implies(X3348,X3349)) ),
    inference(resolution,status(thm),[c2196,condensed_detachment]) ).

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

cnf(c40,plain,
    is_a_theorem(implies(not(X111),implies(X112,implies(X109,implies(X111,X110))))),
    inference(resolution,status(thm),[c5,c2]) ).

cnf(c136,plain,
    is_a_theorem(implies(implies(X1390,implies(X1389,implies(X1388,implies(X1391,X1392)))),implies(implies(X1391,X1390),implies(X1389,implies(X1388,implies(X1391,X1392)))))),
    inference(resolution,status(thm),[c21,c40]) ).

cnf(c945,plain,
    ( ~ is_a_theorem(implies(X16695,implies(X16694,implies(X16696,implies(X16697,X16693)))))
    | is_a_theorem(implies(implies(X16697,X16695),implies(X16694,implies(X16696,implies(X16697,X16693))))) ),
    inference(resolution,status(thm),[c136,condensed_detachment]) ).

cnf(c15255,plain,
    is_a_theorem(implies(implies(X16917,not(X16918)),implies(X16916,implies(X16918,implies(X16917,X16919))))),
    inference(resolution,status(thm),[c945,c36]) ).

cnf(c15643,plain,
    is_a_theorem(implies(implies(X16928,not(X16927)),implies(X16927,implies(X16928,X16926)))),
    inference(resolution,status(thm),[c15255,c2252]) ).

cnf(c15700,plain,
    ( ~ is_a_theorem(implies(X16986,not(X16984)))
    | is_a_theorem(implies(X16984,implies(X16986,X16985))) ),
    inference(resolution,status(thm),[c15643,condensed_detachment]) ).

cnf(c15833,plain,
    is_a_theorem(implies(X16988,implies(not(X16988),X16987))),
    inference(resolution,status(thm),[c15700,c869]) ).

cnf(c15845,plain,
    $false,
    inference(resolution,status(thm),[c15833,prove_cn_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 23:36:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 23.33/23.55  # Version:  1.3
% 23.33/23.55  # SZS status Unsatisfiable
% 23.33/23.55  # SZS output start CNFRefutation
% See solution above
% 23.33/23.55  
% 23.33/23.55  # Initial clauses    : 5
% 23.33/23.55  # Processed clauses  : 536
% 23.33/23.55  # Factors computed   : 0
% 23.33/23.55  # Resolvents computed: 15871
% 23.33/23.55  # Tautologies deleted: 1
% 23.33/23.55  # Forward subsumed   : 3461
% 23.33/23.55  # Backward subsumed  : 0
% 23.33/23.55  # -------- CPU Time ---------
% 23.33/23.55  # User time          : 23.144 s
% 23.33/23.55  # System time        : 0.051 s
% 23.33/23.55  # Total time         : 23.195 s
%------------------------------------------------------------------------------