TSTP Solution File: LCL405-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL405-1 : TPTP v8.1.0. Released v2.3.0.
% 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 13:54:15 EDT 2022
% Result : Unsatisfiable 78.31s 78.55s
% Output : Refutation 78.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_71,negated_conjecture,
~ is_a_theorem(not(implies(implies(x,x),not(implies(y,y))))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
input ).
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_1,axiom,
is_a_theorem(implies(implies(X10,X12),implies(implies(X12,X11),implies(X10,X11)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X27,X28))
| is_a_theorem(implies(implies(X28,X26),implies(X27,X26))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
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),X33),X32),implies(X31,X32))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X51),X50),X49))
| is_a_theorem(implies(X51,X49)) ),
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(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,status(thm),[c57,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,status(thm),[c66,c21]) ).
cnf(c128,plain,
is_a_theorem(implies(implies(implies(not(implies(X218,X218)),X217),X219),implies(X216,X219))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c255,plain,
( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X223),X221))
| is_a_theorem(implies(X222,X221)) ),
inference(resolution,status(thm),[c128,condensed_detachment]) ).
cnf(c262,plain,
is_a_theorem(implies(X227,implies(X226,X226))),
inference(resolution,status(thm),[c255,cn_2]) ).
cnf(c281,plain,
is_a_theorem(implies(implies(implies(X296,X296),X298),implies(X297,X298))),
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),[c281,condensed_detachment]) ).
cnf(c376,plain,
is_a_theorem(implies(X316,implies(X315,implies(X314,X314)))),
inference(resolution,status(thm),[c367,c281]) ).
cnf(c401,plain,
is_a_theorem(implies(implies(implies(X435,implies(X436,X436)),X437),implies(X434,X437))),
inference(resolution,status(thm),[c376,c4]) ).
cnf(c471,plain,
( ~ is_a_theorem(implies(implies(X471,implies(X474,X474)),X473))
| is_a_theorem(implies(X472,X473)) ),
inference(resolution,status(thm),[c401,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(implies(X94,X91),implies(X92,X91)),X93),implies(implies(X92,X94),X93))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c88,plain,
( ~ is_a_theorem(implies(implies(implies(X946,X947),implies(X945,X947)),X948))
| is_a_theorem(implies(implies(X945,X946),X948)) ),
inference(resolution,status(thm),[c13,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(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,status(thm),[c14,condensed_detachment]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(not(implies(X252,X251)),implies(X252,X251)),implies(implies(not(X252),X252),X251))),
inference(resolution,status(thm),[c18,c14]) ).
cnf(c314,plain,
is_a_theorem(implies(X275,implies(implies(not(X274),X274),X274))),
inference(resolution,status(thm),[c26,c255]) ).
cnf(c338,plain,
is_a_theorem(implies(implies(implies(implies(not(X904),X904),X904),X905),implies(X903,X905))),
inference(resolution,status(thm),[c314,c4]) ).
cnf(c822,plain,
is_a_theorem(implies(implies(X1927,implies(not(X1928),X1928)),implies(X1929,implies(X1927,X1928)))),
inference(resolution,status(thm),[c88,c338]) ).
cnf(c1982,plain,
is_a_theorem(implies(implies(not(X2347),X2348),implies(X2346,implies(implies(X2348,X2347),X2347)))),
inference(resolution,status(thm),[c822,c88]) ).
cnf(c2424,plain,
is_a_theorem(implies(X2363,implies(X2364,implies(implies(implies(X2365,X2365),X2362),X2362)))),
inference(resolution,status(thm),[c1982,c471]) ).
cnf(c2604,plain,
is_a_theorem(implies(X2368,implies(implies(implies(X2366,X2366),X2367),X2367))),
inference(resolution,status(thm),[c2424,c0]) ).
cnf(c2626,plain,
is_a_theorem(implies(implies(implies(X2371,X2371),X2372),X2372)),
inference(resolution,status(thm),[c2604,c0]) ).
cnf(c2670,plain,
( ~ is_a_theorem(implies(implies(X2385,X2385),X2386))
| is_a_theorem(X2386) ),
inference(resolution,status(thm),[c2626,condensed_detachment]) ).
cnf(c819,plain,
is_a_theorem(implies(implies(X1014,not(X1016)),implies(X1016,implies(X1014,X1015)))),
inference(resolution,status(thm),[c88,c15]) ).
cnf(c1081,plain,
( ~ is_a_theorem(implies(X1089,not(X1088)))
| is_a_theorem(implies(X1088,implies(X1089,X1087))) ),
inference(resolution,status(thm),[c819,condensed_detachment]) ).
cnf(c2666,plain,
is_a_theorem(implies(X2579,implies(implies(implies(X2578,X2578),not(X2579)),X2580))),
inference(resolution,status(thm),[c2626,c1081]) ).
cnf(c2897,plain,
is_a_theorem(implies(implies(implies(X2643,X2643),not(implies(X2642,X2642))),X2644)),
inference(resolution,status(thm),[c2666,c2670]) ).
cnf(c1991,plain,
( ~ is_a_theorem(implies(X3932,implies(not(X3933),X3933)))
| is_a_theorem(implies(X3931,implies(X3932,X3933))) ),
inference(resolution,status(thm),[c822,condensed_detachment]) ).
cnf(c5082,plain,
is_a_theorem(implies(X4166,implies(implies(implies(X4165,implies(X4168,X4168)),X4167),X4167))),
inference(resolution,status(thm),[c1991,c401]) ).
cnf(c5969,plain,
is_a_theorem(implies(implies(implies(X4175,implies(X4176,X4176)),X4177),X4177)),
inference(resolution,status(thm),[c5082,c2670]) ).
cnf(c6050,plain,
( ~ is_a_theorem(implies(implies(X4221,implies(X4220,X4220)),X4222))
| is_a_theorem(X4222) ),
inference(resolution,status(thm),[c5969,condensed_detachment]) ).
cnf(c2431,plain,
is_a_theorem(implies(X2353,implies(X2354,implies(implies(X2355,X2353),X2353)))),
inference(resolution,status(thm),[c1982,c21]) ).
cnf(c5065,plain,
is_a_theorem(implies(X3968,implies(X3966,implies(implies(X3967,X3966),X3966)))),
inference(resolution,status(thm),[c1991,c2431]) ).
cnf(c5248,plain,
is_a_theorem(implies(X3970,implies(implies(X3969,X3970),X3970))),
inference(resolution,status(thm),[c5065,c2670]) ).
cnf(c5283,plain,
is_a_theorem(implies(implies(implies(implies(X4726,X4725),X4725),X4727),implies(X4725,X4727))),
inference(resolution,status(thm),[c5248,c4]) ).
cnf(c7046,plain,
is_a_theorem(implies(implies(X4929,implies(X4931,X4930)),implies(X4930,implies(X4929,X4930)))),
inference(resolution,status(thm),[c5283,c88]) ).
cnf(c7315,plain,
is_a_theorem(implies(X4933,implies(X4932,X4933))),
inference(resolution,status(thm),[c7046,c6050]) ).
cnf(c7336,plain,
is_a_theorem(implies(implies(implies(X5203,X5201),X5202),implies(X5201,X5202))),
inference(resolution,status(thm),[c7315,c4]) ).
cnf(c7993,plain,
( ~ is_a_theorem(implies(implies(X5315,X5316),X5317))
| is_a_theorem(implies(X5316,X5317)) ),
inference(resolution,status(thm),[c7336,condensed_detachment]) ).
cnf(c8227,plain,
is_a_theorem(implies(X5603,implies(X5605,implies(implies(X5603,X5604),X5604)))),
inference(resolution,status(thm),[c7993,c1982]) ).
cnf(c9540,plain,
is_a_theorem(implies(X5709,implies(X5710,implies(implies(X5710,X5708),X5708)))),
inference(resolution,status(thm),[c8227,c1991]) ).
cnf(c9725,plain,
is_a_theorem(implies(X5713,implies(implies(X5713,X5714),X5714))),
inference(resolution,status(thm),[c9540,c2670]) ).
cnf(c9785,plain,
( ~ is_a_theorem(X5735)
| is_a_theorem(implies(implies(X5735,X5734),X5734)) ),
inference(resolution,status(thm),[c9725,condensed_detachment]) ).
cnf(c10066,plain,
is_a_theorem(implies(implies(implies(implies(not(X7358),X7358),X7358),X7357),X7357)),
inference(resolution,status(thm),[c9785,cn_2]) ).
cnf(c14392,plain,
is_a_theorem(implies(implies(X8456,implies(not(X8457),X8457)),implies(X8456,X8457))),
inference(resolution,status(thm),[c10066,c88]) ).
cnf(c18019,plain,
is_a_theorem(implies(implies(not(X9457),X9458),implies(implies(X9458,X9457),X9457))),
inference(resolution,status(thm),[c14392,c88]) ).
cnf(c21800,plain,
( ~ is_a_theorem(implies(not(X10165),X10164))
| is_a_theorem(implies(implies(X10164,X10165),X10165)) ),
inference(resolution,status(thm),[c18019,condensed_detachment]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(X163,X160),X162),implies(implies(implies(not(X163),X161),X160),X162))),
inference(resolution,status(thm),[c15,c4]) ).
cnf(c774,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1549),X1549),X1549),X1551))
| is_a_theorem(implies(X1550,X1551)) ),
inference(resolution,status(thm),[c338,condensed_detachment]) ).
cnf(c1613,plain,
is_a_theorem(implies(X1653,implies(implies(implies(not(not(X1654)),X1655),X1654),X1654))),
inference(resolution,status(thm),[c774,c20]) ).
cnf(c1657,plain,
is_a_theorem(implies(implies(implies(not(not(X1657)),X1656),X1657),X1657)),
inference(resolution,status(thm),[c1613,c0]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(not(implies(X236,X237)),implies(X236,X237)),implies(implies(X237,X235),implies(X236,X235)))),
inference(resolution,status(thm),[c18,cn_1]) ).
cnf(c296,plain,
( ~ is_a_theorem(implies(not(implies(X4024,X4025)),implies(X4024,X4025)))
| is_a_theorem(implies(implies(X4025,X4026),implies(X4024,X4026))) ),
inference(resolution,status(thm),[c25,condensed_detachment]) ).
cnf(c9732,plain,
is_a_theorem(implies(implies(implies(implies(X12621,X12623),X12623),X12622),implies(X12621,X12622))),
inference(resolution,status(thm),[c9540,c296]) ).
cnf(c31271,plain,
( ~ is_a_theorem(implies(implies(implies(X15942,X15940),X15940),X15941))
| is_a_theorem(implies(X15942,X15941)) ),
inference(resolution,status(thm),[c9732,condensed_detachment]) ).
cnf(c39245,plain,
is_a_theorem(implies(not(not(X15964)),X15964)),
inference(resolution,status(thm),[c31271,c1657]) ).
cnf(c39571,plain,
is_a_theorem(implies(implies(X16250,not(X16250)),not(X16250))),
inference(resolution,status(thm),[c39245,c21800]) ).
cnf(c40595,plain,
( ~ is_a_theorem(implies(X16367,not(X16367)))
| is_a_theorem(not(X16367)) ),
inference(resolution,status(thm),[c39571,condensed_detachment]) ).
cnf(c41636,plain,
is_a_theorem(not(implies(implies(X19396,X19396),not(implies(X19397,X19397))))),
inference(resolution,status(thm),[c40595,c2897]) ).
cnf(c56246,plain,
$false,
inference(resolution,status(thm),[c41636,prove_cn_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL405-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 17:16:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 78.31/78.55 # Version: 1.3
% 78.31/78.55 # SZS status Unsatisfiable
% 78.31/78.55 # SZS output start CNFRefutation
% See solution above
% 78.31/78.55
% 78.31/78.55 # Initial clauses : 5
% 78.31/78.55 # Processed clauses : 1045
% 78.31/78.55 # Factors computed : 0
% 78.31/78.55 # Resolvents computed: 56256
% 78.31/78.55 # Tautologies deleted: 1
% 78.31/78.55 # Forward subsumed : 5134
% 78.31/78.55 # Backward subsumed : 134
% 78.31/78.55 # -------- CPU Time ---------
% 78.31/78.55 # User time : 78.047 s
% 78.31/78.55 # System time : 0.099 s
% 78.31/78.55 # Total time : 78.146 s
%------------------------------------------------------------------------------