TSTP Solution File: LCL401-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 13:54:14 EDT 2022
% Result : Unsatisfiable 163.06s 163.37s
% Output : Refutation 163.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_67,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X6,X5))
| ~ is_a_theorem(X6)
| is_a_theorem(X5) ),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X12,X10),implies(implies(X10,X11),implies(X12,X11)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X21,X23))
| is_a_theorem(implies(implies(X23,X22),implies(X21,X22))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X113,X111),implies(X110,X111)),X112),implies(implies(X110,X113),X112))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c114,plain,
( ~ is_a_theorem(implies(implies(implies(X1413,X1412),implies(X1411,X1412)),X1410))
| is_a_theorem(implies(implies(X1411,X1413),X1410)) ),
inference(resolution,status(thm),[c16,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(X4,implies(not(X4),X3))),
input ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X32),X33),X31),implies(X32,X31))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(X182,X181),X183),implies(implies(implies(not(X182),X184),X181),X183))),
inference(resolution,status(thm),[c15,c4]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X50),X51),X49))
| is_a_theorem(implies(X50,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(c43,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,status(thm),[c20,cn_2]) ).
cnf(c55,plain,
is_a_theorem(implies(not(implies(X61,X61)),X60)),
inference(resolution,status(thm),[c43,c1]) ).
cnf(c63,plain,
is_a_theorem(implies(implies(X115,X114),implies(not(implies(X116,X116)),X114))),
inference(resolution,status(thm),[c55,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X117,implies(not(implies(X119,X119)),X118))),
inference(resolution,status(thm),[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X219,X219)),X218),X216),implies(X217,X216))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c250,plain,
( ~ is_a_theorem(implies(implies(not(implies(X222,X222)),X221),X223))
| is_a_theorem(implies(X220,X223)) ),
inference(resolution,status(thm),[c132,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(not(implies(X236,X237)),implies(X236,X237)),implies(implies(not(X236),X236),X237))),
inference(resolution,status(thm),[c17,c13]) ).
cnf(c296,plain,
is_a_theorem(implies(X266,implies(implies(not(X265),X265),X265))),
inference(resolution,status(thm),[c25,c250]) ).
cnf(c342,plain,
is_a_theorem(implies(implies(implies(implies(not(X907),X907),X907),X909),implies(X908,X909))),
inference(resolution,status(thm),[c296,c4]) ).
cnf(c769,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1102),X1102),X1102),X1101))
| is_a_theorem(implies(X1103,X1101)) ),
inference(resolution,status(thm),[c342,condensed_detachment]) ).
cnf(c935,plain,
is_a_theorem(implies(X1174,implies(implies(implies(not(not(X1176)),X1175),X1176),X1176))),
inference(resolution,status(thm),[c769,c22]) ).
cnf(c996,plain,
is_a_theorem(implies(implies(implies(not(not(X1178)),X1177),X1178),X1178)),
inference(resolution,status(thm),[c935,c0]) ).
cnf(c1010,plain,
( ~ is_a_theorem(implies(implies(not(not(X1188)),X1187),X1188))
| is_a_theorem(X1188) ),
inference(resolution,status(thm),[c996,condensed_detachment]) ).
cnf(c266,plain,
is_a_theorem(implies(X228,implies(X227,X227))),
inference(resolution,status(thm),[c250,cn_2]) ).
cnf(c286,plain,
is_a_theorem(implies(implies(implies(X298,X298),X296),implies(X297,X296))),
inference(resolution,status(thm),[c266,c4]) ).
cnf(c1168,plain,
is_a_theorem(implies(implies(X2066,implies(not(X2065),X2065)),implies(X2067,implies(X2066,X2065)))),
inference(resolution,status(thm),[c114,c342]) ).
cnf(c2083,plain,
( ~ is_a_theorem(implies(X2396,implies(not(X2394),X2394)))
| is_a_theorem(implies(X2395,implies(X2396,X2394))) ),
inference(resolution,status(thm),[c1168,condensed_detachment]) ).
cnf(c2654,plain,
is_a_theorem(implies(X2426,implies(implies(implies(X2424,X2424),X2425),X2425))),
inference(resolution,status(thm),[c2083,c286]) ).
cnf(c2774,plain,
is_a_theorem(implies(implies(implies(X2427,X2427),X2428),X2428)),
inference(resolution,status(thm),[c2654,c1010]) ).
cnf(c235,plain,
( ~ is_a_theorem(implies(implies(X3383,X3386),X3384))
| is_a_theorem(implies(implies(implies(not(X3383),X3385),X3386),X3384)) ),
inference(resolution,status(thm),[c22,condensed_detachment]) ).
cnf(c4297,plain,
is_a_theorem(implies(implies(implies(not(implies(X3495,X3495)),X3496),X3494),X3494)),
inference(resolution,status(thm),[c235,c2774]) ).
cnf(c4458,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3526,X3526)),X3525),X3527))
| is_a_theorem(X3527) ),
inference(resolution,status(thm),[c4297,condensed_detachment]) ).
cnf(c2090,plain,
is_a_theorem(implies(implies(not(X4982),X4980),implies(X4981,implies(implies(X4980,X4982),X4982)))),
inference(resolution,status(thm),[c1168,c114]) ).
cnf(c44,plain,
is_a_theorem(implies(X79,implies(not(implies(not(X79),X80)),X81))),
inference(resolution,status(thm),[c20,cn_3]) ).
cnf(c79,plain,
is_a_theorem(implies(implies(implies(not(implies(not(X822),X824)),X823),X821),implies(X822,X821))),
inference(resolution,status(thm),[c44,c4]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X277,X279)),implies(X277,X279)),implies(implies(X279,X278),implies(X277,X278)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c345,plain,
( ~ is_a_theorem(implies(not(implies(X4439,X4440)),implies(X4439,X4440)))
| is_a_theorem(implies(implies(X4440,X4438),implies(X4439,X4438))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c6759,plain,
is_a_theorem(implies(X4987,implies(X4989,implies(implies(X4988,X4987),X4987)))),
inference(resolution,status(thm),[c2090,c20]) ).
cnf(c6773,plain,
is_a_theorem(implies(X5001,implies(X4999,implies(implies(X5000,X4999),X4999)))),
inference(resolution,status(thm),[c6759,c2083]) ).
cnf(c6846,plain,
is_a_theorem(implies(implies(implies(implies(X5238,X5236),X5236),X5237),implies(X5236,X5237))),
inference(resolution,status(thm),[c6773,c345]) ).
cnf(c7858,plain,
( ~ is_a_theorem(implies(implies(implies(X5467,X5468),X5468),X5469))
| is_a_theorem(implies(X5468,X5469)) ),
inference(resolution,status(thm),[c6846,condensed_detachment]) ).
cnf(c8127,plain,
is_a_theorem(implies(X5477,implies(X5478,X5477))),
inference(resolution,status(thm),[c7858,c79]) ).
cnf(c8306,plain,
is_a_theorem(implies(implies(implies(X5836,X5835),X5834),implies(X5835,X5834))),
inference(resolution,status(thm),[c8127,c4]) ).
cnf(c9333,plain,
( ~ is_a_theorem(implies(implies(X5965,X5966),X5964))
| is_a_theorem(implies(X5966,X5964)) ),
inference(resolution,status(thm),[c8306,condensed_detachment]) ).
cnf(c9665,plain,
is_a_theorem(implies(X6249,implies(X6251,implies(implies(X6249,X6250),X6250)))),
inference(resolution,status(thm),[c9333,c2090]) ).
cnf(c10808,plain,
is_a_theorem(implies(X6377,implies(X6375,implies(implies(X6375,X6376),X6376)))),
inference(resolution,status(thm),[c9665,c2083]) ).
cnf(c11007,plain,
is_a_theorem(implies(X6379,implies(implies(X6379,X6378),X6378))),
inference(resolution,status(thm),[c10808,c4458]) ).
cnf(c11054,plain,
( ~ is_a_theorem(X6401)
| is_a_theorem(implies(implies(X6401,X6400),X6400)) ),
inference(resolution,status(thm),[c11007,condensed_detachment]) ).
cnf(c11147,plain,
is_a_theorem(implies(implies(implies(implies(not(X7911),X7911),X7911),X7910),X7910)),
inference(resolution,status(thm),[c11054,cn_2]) ).
cnf(c15650,plain,
is_a_theorem(implies(implies(X8862,implies(not(X8861),X8861)),implies(X8862,X8861))),
inference(resolution,status(thm),[c11147,c114]) ).
cnf(c19232,plain,
is_a_theorem(implies(implies(not(X9904),X9903),implies(implies(X9903,X9904),X9904))),
inference(resolution,status(thm),[c15650,c114]) ).
cnf(c22690,plain,
( ~ is_a_theorem(implies(not(X10670),X10669))
| is_a_theorem(implies(implies(X10669,X10670),X10670)) ),
inference(resolution,status(thm),[c19232,condensed_detachment]) ).
cnf(c11127,plain,
is_a_theorem(implies(implies(implies(X6537,implies(X6539,X6537)),X6538),X6538)),
inference(resolution,status(thm),[c11054,c8127]) ).
cnf(c12560,plain,
is_a_theorem(implies(implies(X6701,X6699),implies(X6701,implies(X6700,X6699)))),
inference(resolution,status(thm),[c11127,c114]) ).
cnf(c13271,plain,
( ~ is_a_theorem(implies(X6788,X6790))
| is_a_theorem(implies(X6788,implies(X6789,X6790))) ),
inference(resolution,status(thm),[c12560,condensed_detachment]) ).
cnf(c11037,plain,
is_a_theorem(implies(implies(implies(implies(X13018,X13019),X13019),X13020),implies(X13018,X13020))),
inference(resolution,status(thm),[c10808,c345]) ).
cnf(c29791,plain,
( ~ is_a_theorem(implies(implies(implies(X16449,X16448),X16448),X16447))
| is_a_theorem(implies(X16449,X16447)) ),
inference(resolution,status(thm),[c11037,condensed_detachment]) ).
cnf(c40359,plain,
is_a_theorem(implies(not(not(X16473)),X16473)),
inference(resolution,status(thm),[c29791,c996]) ).
cnf(c40665,plain,
is_a_theorem(implies(not(not(X16737)),implies(X16738,X16737))),
inference(resolution,status(thm),[c40359,c13271]) ).
cnf(c42989,plain,
is_a_theorem(implies(implies(implies(X19768,X19767),not(X19767)),not(X19767))),
inference(resolution,status(thm),[c40665,c22690]) ).
cnf(c40448,plain,
is_a_theorem(implies(not(X16500),implies(X16500,X16501))),
inference(resolution,status(thm),[c29791,c15]) ).
cnf(c40800,plain,
is_a_theorem(implies(implies(implies(X24376,X24377),X24375),implies(not(X24376),X24375))),
inference(resolution,status(thm),[c40448,c4]) ).
cnf(c79998,plain,
( ~ is_a_theorem(implies(implies(X27682,X27683),X27681))
| is_a_theorem(implies(not(X27682),X27681)) ),
inference(resolution,status(thm),[c40800,condensed_detachment]) ).
cnf(c98861,plain,
is_a_theorem(implies(not(implies(X27752,X27753)),not(X27753))),
inference(resolution,status(thm),[c79998,c42989]) ).
cnf(c99227,plain,
$false,
inference(resolution,status(thm),[c98861,prove_cn_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n016.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 : Mon Jul 4 12:51:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 163.06/163.37 # Version: 1.3
% 163.06/163.37 # SZS status Unsatisfiable
% 163.06/163.37 # SZS output start CNFRefutation
% See solution above
% 163.06/163.37
% 163.06/163.37 # Initial clauses : 5
% 163.06/163.37 # Processed clauses : 1412
% 163.06/163.37 # Factors computed : 0
% 163.06/163.37 # Resolvents computed: 99281
% 163.06/163.37 # Tautologies deleted: 1
% 163.06/163.37 # Forward subsumed : 7619
% 163.06/163.37 # Backward subsumed : 190
% 163.06/163.37 # -------- CPU Time ---------
% 163.06/163.37 # User time : 162.769 s
% 163.06/163.37 # System time : 0.168 s
% 163.06/163.37 # Total time : 162.937 s
%------------------------------------------------------------------------------