TSTP Solution File: LCL130-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL130-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 13:52:16 EDT 2022
% Result : Unsatisfiable 1.52s 1.70s
% Output : Refutation 1.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
input ).
cnf(p_4,axiom,
is_a_theorem(equivalent(equivalent(X6,equivalent(equivalent(X4,X5),equivalent(equivalent(X4,X7),equivalent(X5,X7)))),X6)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
input ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X11,equivalent(equivalent(X10,X8),equivalent(equivalent(X10,X9),equivalent(X8,X9)))))
| is_a_theorem(X11) ),
inference(resolution,status(thm),[p_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(equivalent(X12,X15),equivalent(equivalent(X12,X16),equivalent(X15,X16))),equivalent(equivalent(X13,X17),equivalent(equivalent(X13,X14),equivalent(X17,X14))))),
inference(resolution,status(thm),[c0,p_4]) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(X25,X26),equivalent(equivalent(X25,X24),equivalent(X26,X24)))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c4,plain,
( ~ is_a_theorem(equivalent(X29,X27))
| is_a_theorem(equivalent(equivalent(X29,X28),equivalent(X27,X28))) ),
inference(resolution,status(thm),[c3,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(equivalent(equivalent(equivalent(X32,X30),X33),equivalent(equivalent(equivalent(X32,X31),equivalent(X30,X31)),X33))),
inference(resolution,status(thm),[c4,c3]) ).
cnf(c8,plain,
( ~ is_a_theorem(equivalent(equivalent(X34,X37),X36))
| is_a_theorem(equivalent(equivalent(equivalent(X34,X35),equivalent(X37,X35)),X36)) ),
inference(resolution,status(thm),[c6,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(equivalent(equivalent(equivalent(X49,X50),equivalent(X47,X50)),equivalent(equivalent(X49,X48),equivalent(X47,X48)))),
inference(resolution,status(thm),[c8,c3]) ).
cnf(c22,plain,
( ~ is_a_theorem(equivalent(equivalent(X55,X56),equivalent(X58,X56)))
| is_a_theorem(equivalent(equivalent(X55,X57),equivalent(X58,X57))) ),
inference(resolution,status(thm),[c12,condensed_detachment]) ).
cnf(c32,plain,
is_a_theorem(equivalent(equivalent(equivalent(X60,X59),X61),equivalent(equivalent(X60,X59),X61))),
inference(resolution,status(thm),[c22,c1]) ).
cnf(c41,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X87,X86),X88),equivalent(X85,X88)),equivalent(equivalent(X87,X86),X85))),
inference(resolution,status(thm),[c32,c8]) ).
cnf(c50,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X100,X99),X98),equivalent(X101,X98)))
| is_a_theorem(equivalent(equivalent(X100,X99),X101)) ),
inference(resolution,status(thm),[c41,condensed_detachment]) ).
cnf(c60,plain,
is_a_theorem(equivalent(equivalent(X103,X102),equivalent(X103,X102))),
inference(resolution,status(thm),[c50,c1]) ).
cnf(c73,plain,
is_a_theorem(equivalent(equivalent(equivalent(X133,X134),equivalent(X132,X134)),equivalent(X133,X132))),
inference(resolution,status(thm),[c60,c8]) ).
cnf(c90,plain,
( ~ is_a_theorem(equivalent(equivalent(X139,X138),equivalent(X140,X138)))
| is_a_theorem(equivalent(X139,X140)) ),
inference(resolution,status(thm),[c73,condensed_detachment]) ).
cnf(c97,plain,
is_a_theorem(equivalent(X141,X141)),
inference(resolution,status(thm),[c90,c60]) ).
cnf(c5,plain,
is_a_theorem(equivalent(equivalent(equivalent(X43,equivalent(equivalent(X44,X46),equivalent(equivalent(X44,X45),equivalent(X46,X45)))),X42),equivalent(X43,X42))),
inference(resolution,status(thm),[c4,p_4]) ).
cnf(c18,plain,
( ~ is_a_theorem(equivalent(equivalent(X203,equivalent(equivalent(X205,X207),equivalent(equivalent(X205,X206),equivalent(X207,X206)))),X204))
| is_a_theorem(equivalent(X203,X204)) ),
inference(resolution,status(thm),[c5,condensed_detachment]) ).
cnf(c146,plain,
is_a_theorem(equivalent(X1469,equivalent(X1469,equivalent(equivalent(X1471,X1470),equivalent(equivalent(X1471,X1468),equivalent(X1470,X1468)))))),
inference(resolution,status(thm),[c18,c97]) ).
cnf(c2157,plain,
$false,
inference(resolution,status(thm),[c146,prove_lg_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL130-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 04:38:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.52/1.70 # Version: 1.3
% 1.52/1.70 # SZS status Unsatisfiable
% 1.52/1.70 # SZS output start CNFRefutation
% See solution above
% 1.52/1.70
% 1.52/1.70 # Initial clauses : 3
% 1.52/1.70 # Processed clauses : 128
% 1.52/1.70 # Factors computed : 0
% 1.52/1.70 # Resolvents computed: 2173
% 1.52/1.70 # Tautologies deleted: 3
% 1.52/1.70 # Forward subsumed : 385
% 1.52/1.70 # Backward subsumed : 6
% 1.52/1.70 # -------- CPU Time ---------
% 1.52/1.70 # User time : 1.335 s
% 1.52/1.70 # System time : 0.021 s
% 1.52/1.70 # Total time : 1.356 s
%------------------------------------------------------------------------------