TSTP Solution File: LCL083-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 13:51:55 EDT 2022
% Result : Unsatisfiable 93.49s 93.75s
% Output : Refutation 93.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X4,X7),X6),implies(implies(X6,X4),implies(X5,X4)))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X11,X9),X8))
| is_a_theorem(implies(implies(X8,X11),implies(X10,X11))) ),
inference(resolution,status(thm),[ic_JLukasiewicz,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(implies(X16,X15),implies(X13,X15)),implies(X15,X14)),implies(X12,implies(X15,X14)))),
inference(resolution,status(thm),[c0,ic_JLukasiewicz]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(implies(X26,X25),implies(X24,X25)),implies(X25,X23)))
| is_a_theorem(implies(X27,implies(X25,X23))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(X29,implies(implies(X30,X28),implies(X28,implies(X30,X28))))),
inference(resolution,status(thm),[c3,c1]) ).
cnf(c8,plain,
is_a_theorem(implies(implies(implies(implies(X92,X90),implies(X90,implies(X92,X90))),X93),implies(X91,X93))),
inference(resolution,status(thm),[c6,c0]) ).
cnf(c10,plain,
( ~ is_a_theorem(X36)
| is_a_theorem(implies(implies(X35,X34),implies(X34,implies(X35,X34)))) ),
inference(resolution,status(thm),[c6,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(X38,X37),implies(X37,implies(X38,X37)))),
inference(resolution,status(thm),[c10,c1]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(X56,implies(X54,X56)),X54),implies(X55,X54))),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(X22,implies(X20,X19)),implies(implies(X21,X20),implies(X18,X20))),implies(X17,implies(implies(X21,X20),implies(X18,X20))))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(implies(X57,implies(X60,X61)),implies(implies(X62,X60),implies(X59,X60))))
| is_a_theorem(implies(X58,implies(implies(X62,X60),implies(X59,X60)))) ),
inference(resolution,status(thm),[c2,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(X64,implies(implies(X65,X63),implies(X63,X63)))),
inference(resolution,status(thm),[c5,c15]) ).
cnf(c35,plain,
( ~ is_a_theorem(X74)
| is_a_theorem(implies(implies(X72,X73),implies(X73,X73))) ),
inference(resolution,status(thm),[c28,condensed_detachment]) ).
cnf(c38,plain,
is_a_theorem(implies(implies(X75,X76),implies(X76,X76))),
inference(resolution,status(thm),[c35,c6]) ).
cnf(c47,plain,
( ~ is_a_theorem(implies(X99,X98))
| is_a_theorem(implies(X98,X98)) ),
inference(resolution,status(thm),[c38,condensed_detachment]) ).
cnf(c63,plain,
is_a_theorem(implies(implies(X102,X101),implies(X102,X101))),
inference(resolution,status(thm),[c47,c8]) ).
cnf(c70,plain,
is_a_theorem(implies(implies(implies(X196,X198),X196),implies(X197,X196))),
inference(resolution,status(thm),[c63,c0]) ).
cnf(c46,plain,
is_a_theorem(implies(implies(implies(X122,X122),X120),implies(X121,X120))),
inference(resolution,status(thm),[c38,c0]) ).
cnf(c82,plain,
is_a_theorem(implies(X131,implies(X130,implies(X132,X130)))),
inference(resolution,status(thm),[c46,c3]) ).
cnf(c94,plain,
( ~ is_a_theorem(X139)
| is_a_theorem(implies(X140,implies(X138,X140))) ),
inference(resolution,status(thm),[c82,condensed_detachment]) ).
cnf(c98,plain,
is_a_theorem(implies(X141,implies(X142,X141))),
inference(resolution,status(thm),[c94,c28]) ).
cnf(c112,plain,
( ~ is_a_theorem(X177)
| is_a_theorem(implies(X176,X177)) ),
inference(resolution,status(thm),[c98,condensed_detachment]) ).
cnf(c118,plain,
is_a_theorem(implies(X314,implies(X317,implies(X316,implies(X315,X316))))),
inference(resolution,status(thm),[c112,c82]) ).
cnf(c198,plain,
is_a_theorem(implies(X589,implies(X591,implies(X588,implies(X590,implies(X592,X590)))))),
inference(resolution,status(thm),[c118,c112]) ).
cnf(c292,plain,
is_a_theorem(implies(X1395,implies(X1396,implies(X1393,implies(X1397,implies(X1394,implies(X1398,X1394))))))),
inference(resolution,status(thm),[c198,c112]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(X41,implies(implies(X45,X43),implies(X42,X43))),implies(X40,implies(X43,X44))),implies(X39,implies(X40,implies(X43,X44))))),
inference(resolution,status(thm),[c2,c0]) ).
cnf(c17,plain,
is_a_theorem(implies(implies(implies(X105,implies(X104,implies(X106,X107))),implies(X109,implies(implies(X110,X106),implies(X108,X106)))),implies(X103,implies(X109,implies(implies(X110,X106),implies(X108,X106)))))),
inference(resolution,status(thm),[c4,c0]) ).
cnf(c110,plain,
is_a_theorem(implies(implies(implies(X487,implies(X484,X486)),X484),implies(X485,X484))),
inference(resolution,status(thm),[c98,c0]) ).
cnf(c111,plain,
is_a_theorem(implies(X492,implies(X491,implies(implies(X494,X491),implies(X493,X491))))),
inference(resolution,status(thm),[c98,c3]) ).
cnf(c249,plain,
( ~ is_a_theorem(X708)
| is_a_theorem(implies(X705,implies(implies(X707,X705),implies(X706,X705)))) ),
inference(resolution,status(thm),[c111,condensed_detachment]) ).
cnf(c339,plain,
is_a_theorem(implies(X710,implies(implies(X711,X710),implies(X709,X710)))),
inference(resolution,status(thm),[c249,c110]) ).
cnf(c363,plain,
( ~ is_a_theorem(X810)
| is_a_theorem(implies(implies(X809,X810),implies(X808,X810))) ),
inference(resolution,status(thm),[c339,condensed_detachment]) ).
cnf(c399,plain,
is_a_theorem(implies(implies(X2551,implies(implies(implies(X2547,implies(X2548,implies(X2546,X2549))),implies(X2550,implies(implies(X2553,X2546),implies(X2545,X2546)))),implies(X2554,implies(X2550,implies(implies(X2553,X2546),implies(X2545,X2546)))))),implies(X2552,implies(implies(implies(X2547,implies(X2548,implies(X2546,X2549))),implies(X2550,implies(implies(X2553,X2546),implies(X2545,X2546)))),implies(X2554,implies(X2550,implies(implies(X2553,X2546),implies(X2545,X2546)))))))),
inference(resolution,status(thm),[c363,c17]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(implies(X128,implies(implies(X129,X125),implies(X127,X125))),implies(X123,implies(X125,X126))))
| is_a_theorem(implies(X124,implies(X123,implies(X125,X126)))) ),
inference(resolution,status(thm),[c4,condensed_detachment]) ).
cnf(c91,plain,
is_a_theorem(implies(X887,implies(implies(implies(implies(X889,X888),implies(X891,X888)),X890),implies(X888,X890)))),
inference(resolution,status(thm),[c18,ic_JLukasiewicz]) ).
cnf(c442,plain,
( ~ is_a_theorem(X2808)
| is_a_theorem(implies(implies(implies(implies(X2810,X2811),implies(X2809,X2811)),X2807),implies(X2811,X2807))) ),
inference(resolution,status(thm),[c91,condensed_detachment]) ).
cnf(c1161,plain,
is_a_theorem(implies(implies(implies(implies(X2814,X2813),implies(X2815,X2813)),X2812),implies(X2813,X2812))),
inference(resolution,status(thm),[c442,c399]) ).
cnf(c1225,plain,
( ~ is_a_theorem(implies(implies(implies(X3203,X3205),implies(X3202,X3205)),X3204))
| is_a_theorem(implies(X3205,X3204)) ),
inference(resolution,status(thm),[c1161,condensed_detachment]) ).
cnf(c1369,plain,
is_a_theorem(implies(X3435,implies(implies(implies(X3438,X3435),X3437),implies(X3436,X3437)))),
inference(resolution,status(thm),[c1225,ic_JLukasiewicz]) ).
cnf(c1547,plain,
( ~ is_a_theorem(X3533)
| is_a_theorem(implies(implies(implies(X3531,X3533),X3530),implies(X3532,X3530))) ),
inference(resolution,status(thm),[c1369,condensed_detachment]) ).
cnf(c1686,plain,
is_a_theorem(implies(implies(implies(X23723,implies(X23730,implies(X23729,implies(X23726,implies(X23722,implies(X23728,implies(X23727,X23728))))))),X23725),implies(X23724,X23725))),
inference(resolution,status(thm),[c1547,c292]) ).
cnf(c1323,plain,
is_a_theorem(implies(X3215,implies(X3217,implies(X3216,X3215)))),
inference(resolution,status(thm),[c1225,c46]) ).
cnf(c1392,plain,
is_a_theorem(implies(implies(implies(X3739,implies(X3735,implies(X3738,X3737))),X3738),implies(X3736,X3738))),
inference(resolution,status(thm),[c1323,c0]) ).
cnf(c1828,plain,
is_a_theorem(implies(implies(implies(X25974,X25973),implies(X25972,implies(X25975,implies(X25973,X25976)))),implies(X25971,implies(X25972,implies(X25975,implies(X25973,X25976)))))),
inference(resolution,status(thm),[c1392,c0]) ).
cnf(c126,plain,
is_a_theorem(implies(X1106,implies(implies(implies(X1107,X1105),X1108),implies(implies(X1108,X1107),implies(X1104,X1107))))),
inference(resolution,status(thm),[c112,ic_JLukasiewicz]) ).
cnf(c528,plain,
is_a_theorem(implies(implies(implies(implies(implies(X4986,X4982),X4984),implies(implies(X4984,X4986),implies(X4985,X4986))),X4983),implies(X4981,X4983))),
inference(resolution,status(thm),[c126,c0]) ).
cnf(c2488,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X38895,X38894),X38896),implies(implies(X38896,X38895),implies(X38893,X38895))),X38892))
| is_a_theorem(implies(X38891,X38892)) ),
inference(resolution,status(thm),[c528,condensed_detachment]) ).
cnf(c25523,plain,
is_a_theorem(implies(X48324,implies(X48326,implies(implies(X48322,implies(X48322,X48323)),implies(X48325,implies(X48322,X48323)))))),
inference(resolution,status(thm),[c2488,c1828]) ).
cnf(c33601,plain,
( ~ is_a_theorem(X50538)
| is_a_theorem(implies(X50540,implies(implies(X50541,implies(X50541,X50539)),implies(X50542,implies(X50541,X50539))))) ),
inference(resolution,status(thm),[c25523,condensed_detachment]) ).
cnf(c35335,plain,
is_a_theorem(implies(X50543,implies(implies(X50545,implies(X50545,X50546)),implies(X50544,implies(X50545,X50546))))),
inference(resolution,status(thm),[c33601,c1686]) ).
cnf(c35804,plain,
( ~ is_a_theorem(X53622)
| is_a_theorem(implies(implies(X53621,implies(X53621,X53620)),implies(X53623,implies(X53621,X53620)))) ),
inference(resolution,status(thm),[c35335,condensed_detachment]) ).
cnf(c37264,plain,
is_a_theorem(implies(implies(X53624,implies(X53624,X53625)),implies(X53626,implies(X53624,X53625)))),
inference(resolution,status(thm),[c35804,c1686]) ).
cnf(c37759,plain,
( ~ is_a_theorem(implies(X56300,implies(X56300,X56299)))
| is_a_theorem(implies(X56301,implies(X56300,X56299))) ),
inference(resolution,status(thm),[c37264,condensed_detachment]) ).
cnf(c39768,plain,
is_a_theorem(implies(X56347,implies(implies(implies(X56346,X56345),X56346),X56346))),
inference(resolution,status(thm),[c37759,c70]) ).
cnf(c39476,plain,
is_a_theorem(implies(X56323,implies(implies(implies(X56322,X56322),X56324),X56324))),
inference(resolution,status(thm),[c37759,c46]) ).
cnf(c39987,plain,
( ~ is_a_theorem(X56374)
| is_a_theorem(implies(implies(implies(X56372,X56372),X56373),X56373)) ),
inference(resolution,status(thm),[c39476,condensed_detachment]) ).
cnf(c40093,plain,
is_a_theorem(implies(implies(implies(X56376,X56376),X56375),X56375)),
inference(resolution,status(thm),[c39987,c1686]) ).
cnf(c40618,plain,
( ~ is_a_theorem(implies(implies(X58281,X58281),X58280))
| is_a_theorem(X58280) ),
inference(resolution,status(thm),[c40093,condensed_detachment]) ).
cnf(c42343,plain,
is_a_theorem(implies(implies(implies(X58425,X58424),X58425),X58425)),
inference(resolution,status(thm),[c40618,c39768]) ).
cnf(c42615,plain,
$false,
inference(resolution,status(thm),[c42343,prove_ic_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 19:05:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 93.49/93.75 # Version: 1.3
% 93.49/93.75 # SZS status Unsatisfiable
% 93.49/93.75 # SZS output start CNFRefutation
% See solution above
% 93.49/93.75
% 93.49/93.75 # Initial clauses : 3
% 93.49/93.75 # Processed clauses : 874
% 93.49/93.75 # Factors computed : 0
% 93.49/93.75 # Resolvents computed: 42619
% 93.49/93.75 # Tautologies deleted: 2
% 93.49/93.75 # Forward subsumed : 11092
% 93.49/93.75 # Backward subsumed : 277
% 93.49/93.75 # -------- CPU Time ---------
% 93.49/93.75 # User time : 93.255 s
% 93.49/93.75 # System time : 0.093 s
% 93.49/93.75 # Total time : 93.348 s
%------------------------------------------------------------------------------