TSTP Solution File: LCL366-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 13:54:01 EDT 2022
% Result : Unsatisfiable 19.51s 19.72s
% Output : Refutation 19.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_15,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X10,X12),implies(implies(X12,X11),implies(X10,X11)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X26,X27))
| is_a_theorem(implies(implies(X27,X28),implies(X26,X28))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(implies(X92,X94),implies(X91,X94)),X93),implies(implies(X91,X92),X93))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c88,plain,
( ~ is_a_theorem(implies(implies(implies(X946,X948),implies(X947,X948)),X945))
| is_a_theorem(implies(implies(X947,X946),X945)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,status(thm),[condensed_detachment,cn_2]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
input ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X31),X32),X33),implies(X31,X33))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(X162,X161),X163),implies(implies(implies(not(X162),X160),X161),X163))),
inference(resolution,status(thm),[c15,c4]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X51),X49),X50))
| is_a_theorem(implies(X51,X50)) ),
inference(resolution,status(thm),[c15,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,status(thm),[condensed_detachment,cn_3]) ).
cnf(c45,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,status(thm),[c21,cn_2]) ).
cnf(c57,plain,
is_a_theorem(implies(not(implies(X67,X67)),X66)),
inference(resolution,status(thm),[c45,c1]) ).
cnf(c66,plain,
is_a_theorem(implies(implies(X116,X115),implies(not(implies(X114,X114)),X115))),
inference(resolution,status(thm),[c57,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
inference(resolution,status(thm),[c66,c21]) ).
cnf(c128,plain,
is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X218),X217),implies(X219,X217))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c255,plain,
( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X221),X223))
| is_a_theorem(implies(X222,X223)) ),
inference(resolution,status(thm),[c128,condensed_detachment]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,status(thm),[c14,condensed_detachment]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(not(implies(X251,X252)),implies(X251,X252)),implies(implies(not(X251),X251),X252))),
inference(resolution,status(thm),[c18,c14]) ).
cnf(c315,plain,
is_a_theorem(implies(X274,implies(implies(not(X275),X275),X275))),
inference(resolution,status(thm),[c26,c255]) ).
cnf(c339,plain,
is_a_theorem(implies(implies(implies(implies(not(X903),X903),X903),X904),implies(X905,X904))),
inference(resolution,status(thm),[c315,c4]) ).
cnf(c775,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1550),X1550),X1550),X1549))
| is_a_theorem(implies(X1551,X1549)) ),
inference(resolution,status(thm),[c339,condensed_detachment]) ).
cnf(c1611,plain,
is_a_theorem(implies(X1653,implies(implies(implies(not(not(X1654)),X1655),X1654),X1654))),
inference(resolution,status(thm),[c775,c20]) ).
cnf(c1672,plain,
is_a_theorem(implies(implies(implies(not(not(X1657)),X1656),X1657),X1657)),
inference(resolution,status(thm),[c1611,c0]) ).
cnf(c1684,plain,
( ~ is_a_theorem(implies(implies(not(not(X1665)),X1666),X1665))
| is_a_theorem(X1665) ),
inference(resolution,status(thm),[c1672,condensed_detachment]) ).
cnf(c262,plain,
is_a_theorem(implies(X226,implies(X227,X227))),
inference(resolution,status(thm),[c255,cn_2]) ).
cnf(c282,plain,
is_a_theorem(implies(implies(implies(X296,X296),X297),implies(X298,X297))),
inference(resolution,status(thm),[c262,c4]) ).
cnf(c367,plain,
( ~ is_a_theorem(implies(implies(X303,X303),X304))
| is_a_theorem(implies(X302,X304)) ),
inference(resolution,status(thm),[c282,condensed_detachment]) ).
cnf(c377,plain,
is_a_theorem(implies(X315,implies(X316,implies(X314,X314)))),
inference(resolution,status(thm),[c367,c282]) ).
cnf(c403,plain,
is_a_theorem(implies(implies(implies(X434,implies(X437,X437)),X436),implies(X435,X436))),
inference(resolution,status(thm),[c377,c4]) ).
cnf(c472,plain,
( ~ is_a_theorem(implies(implies(X474,implies(X473,X473)),X471))
| is_a_theorem(implies(X472,X471)) ),
inference(resolution,status(thm),[c403,condensed_detachment]) ).
cnf(c854,plain,
is_a_theorem(implies(implies(X1984,implies(not(X1985),X1985)),implies(X1986,implies(X1984,X1985)))),
inference(resolution,status(thm),[c88,c339]) ).
cnf(c2049,plain,
is_a_theorem(implies(implies(not(X2410),X2412),implies(X2411,implies(implies(X2412,X2410),X2410)))),
inference(resolution,status(thm),[c854,c88]) ).
cnf(c2660,plain,
is_a_theorem(implies(X2428,implies(X2430,implies(implies(implies(X2429,X2429),X2431),X2431)))),
inference(resolution,status(thm),[c2049,c472]) ).
cnf(c2865,plain,
is_a_theorem(implies(X2436,implies(implies(implies(X2437,X2437),X2435),X2435))),
inference(resolution,status(thm),[c2660,c1684]) ).
cnf(c2907,plain,
is_a_theorem(implies(implies(implies(X2438,X2438),X2439),X2439)),
inference(resolution,status(thm),[c2865,c1684]) ).
cnf(c212,plain,
( ~ is_a_theorem(implies(implies(X3082,X3081),X3080))
| is_a_theorem(implies(implies(implies(not(X3082),X3083),X3081),X3080)) ),
inference(resolution,status(thm),[c20,condensed_detachment]) ).
cnf(c4202,plain,
is_a_theorem(implies(implies(implies(not(implies(X3149,X3149)),X3151),X3150),X3150)),
inference(resolution,status(thm),[c212,c2907]) ).
cnf(c4310,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3206,X3206)),X3207),X3205))
| is_a_theorem(X3205) ),
inference(resolution,status(thm),[c4202,condensed_detachment]) ).
cnf(c2059,plain,
( ~ is_a_theorem(implies(X3996,implies(not(X3997),X3997)))
| is_a_theorem(implies(X3995,implies(X3996,X3997))) ),
inference(resolution,status(thm),[c854,condensed_detachment]) ).
cnf(c5477,plain,
is_a_theorem(implies(X4256,implies(implies(implies(X4255,implies(X4254,X4254)),X4253),X4253))),
inference(resolution,status(thm),[c2059,c403]) ).
cnf(c6531,plain,
is_a_theorem(implies(implies(implies(X4263,implies(X4264,X4264)),X4262),X4262)),
inference(resolution,status(thm),[c5477,c4310]) ).
cnf(c6576,plain,
( ~ is_a_theorem(implies(implies(X4309,implies(X4310,X4310)),X4308))
| is_a_theorem(X4308) ),
inference(resolution,status(thm),[c6531,condensed_detachment]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(not(implies(X235,X236)),implies(X235,X236)),implies(implies(X236,X237),implies(X235,X237)))),
inference(resolution,status(thm),[c18,cn_1]) ).
cnf(c296,plain,
( ~ is_a_theorem(implies(not(implies(X4042,X4043)),implies(X4042,X4043)))
| is_a_theorem(implies(implies(X4043,X4044),implies(X4042,X4044))) ),
inference(resolution,status(thm),[c25,condensed_detachment]) ).
cnf(c2661,plain,
is_a_theorem(implies(X2421,implies(X2420,implies(implies(X2419,X2421),X2421)))),
inference(resolution,status(thm),[c2049,c21]) ).
cnf(c5578,plain,
is_a_theorem(implies(X4051,implies(X4049,implies(implies(X4050,X4049),X4049)))),
inference(resolution,status(thm),[c2059,c2661]) ).
cnf(c5762,plain,
is_a_theorem(implies(implies(implies(implies(X4831,X4830),X4830),X4829),implies(X4830,X4829))),
inference(resolution,status(thm),[c5578,c296]) ).
cnf(c7563,plain,
is_a_theorem(implies(implies(X5028,implies(X5029,X5030)),implies(X5030,implies(X5028,X5030)))),
inference(resolution,status(thm),[c5762,c88]) ).
cnf(c7733,plain,
is_a_theorem(implies(X5032,implies(X5031,X5032))),
inference(resolution,status(thm),[c7563,c6576]) ).
cnf(c7755,plain,
is_a_theorem(implies(implies(implies(X5290,X5292),X5291),implies(X5292,X5291))),
inference(resolution,status(thm),[c7733,c4]) ).
cnf(c8448,plain,
( ~ is_a_theorem(implies(implies(X5437,X5436),X5438))
| is_a_theorem(implies(X5436,X5438)) ),
inference(resolution,status(thm),[c7755,condensed_detachment]) ).
cnf(c8845,plain,
is_a_theorem(implies(X5697,implies(X5698,implies(implies(X5697,X5699),X5699)))),
inference(resolution,status(thm),[c8448,c2049]) ).
cnf(c10070,plain,
is_a_theorem(implies(X5799,implies(X5800,implies(implies(X5800,X5798),X5798)))),
inference(resolution,status(thm),[c8845,c2059]) ).
cnf(c10255,plain,
is_a_theorem(implies(X5804,implies(implies(X5804,X5803),X5803))),
inference(resolution,status(thm),[c10070,c4310]) ).
cnf(c10301,plain,
( ~ is_a_theorem(X5825)
| is_a_theorem(implies(implies(X5825,X5826),X5826)) ),
inference(resolution,status(thm),[c10255,condensed_detachment]) ).
cnf(c10589,plain,
is_a_theorem(implies(implies(implies(implies(not(X7471),X7471),X7471),X7472),X7472)),
inference(resolution,status(thm),[c10301,cn_2]) ).
cnf(c15099,plain,
is_a_theorem(implies(implies(X8568,implies(not(X8569),X8569)),implies(X8568,X8569))),
inference(resolution,status(thm),[c10589,c88]) ).
cnf(c18767,plain,
is_a_theorem(implies(implies(not(X9598),X9599),implies(implies(X9599,X9598),X9598))),
inference(resolution,status(thm),[c15099,c88]) ).
cnf(c22784,plain,
$false,
inference(resolution,status(thm),[c18767,prove_cn_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n015.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 : Sun Jul 3 12:20:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 19.51/19.72 # Version: 1.3
% 19.51/19.72 # SZS status Unsatisfiable
% 19.51/19.72 # SZS output start CNFRefutation
% See solution above
% 19.51/19.72
% 19.51/19.72 # Initial clauses : 5
% 19.51/19.72 # Processed clauses : 614
% 19.51/19.72 # Factors computed : 0
% 19.51/19.72 # Resolvents computed: 22802
% 19.51/19.72 # Tautologies deleted: 1
% 19.51/19.72 # Forward subsumed : 2446
% 19.51/19.72 # Backward subsumed : 42
% 19.51/19.72 # -------- CPU Time ---------
% 19.51/19.72 # User time : 19.300 s
% 19.51/19.72 # System time : 0.055 s
% 19.51/19.72 # Total time : 19.355 s
%------------------------------------------------------------------------------