TSTP Solution File: LCL396-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL396-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 13:54:12 EDT 2022
% Result : Unsatisfiable 82.02s 82.21s
% Output : Refutation 82.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_62,negated_conjecture,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,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(X11,X10),implies(implies(X10,X12),implies(X11,X12)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X28,X26))
| is_a_theorem(implies(implies(X26,X27),implies(X28,X27))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
input ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(not(X32),X33),X31),implies(X32,X31))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X51),X49),X50))
| is_a_theorem(implies(X51,X50)) ),
inference(resolution,status(thm),[c14,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X92,X93),implies(X95,X93)),X94),implies(implies(X95,X92),X94))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c87,plain,
( ~ is_a_theorem(implies(implies(implies(X930,X929),implies(X931,X929)),X928))
| is_a_theorem(implies(implies(X931,X930),X928)) ),
inference(resolution,status(thm),[c15,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(c22,plain,
is_a_theorem(implies(implies(implies(X182,X181),X183),implies(implies(implies(not(X182),X184),X181),X183))),
inference(resolution,status(thm),[c14,c4]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,status(thm),[condensed_detachment,cn_3]) ).
cnf(c42,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),[c42,c1]) ).
cnf(c63,plain,
is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,status(thm),[c55,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
inference(resolution,status(thm),[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X218),X217),implies(X219,X217))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c251,plain,
( ~ is_a_theorem(implies(implies(not(implies(X222,X222)),X223),X221))
| is_a_theorem(implies(X220,X221)) ),
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(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c27,plain,
is_a_theorem(implies(implies(not(implies(X250,X249)),implies(X250,X249)),implies(implies(not(X250),X250),X249))),
inference(resolution,status(thm),[c17,c13]) ).
cnf(c305,plain,
is_a_theorem(implies(X267,implies(implies(not(X266),X266),X266))),
inference(resolution,status(thm),[c27,c251]) ).
cnf(c344,plain,
is_a_theorem(implies(implies(implies(implies(not(X909),X909),X909),X908),implies(X907,X908))),
inference(resolution,status(thm),[c305,c4]) ).
cnf(c769,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1548),X1548),X1548),X1546))
| is_a_theorem(implies(X1547,X1546)) ),
inference(resolution,status(thm),[c344,condensed_detachment]) ).
cnf(c1605,plain,
is_a_theorem(implies(X1655,implies(implies(implies(not(not(X1656)),X1654),X1656),X1656))),
inference(resolution,status(thm),[c769,c22]) ).
cnf(c1656,plain,
is_a_theorem(implies(implies(implies(not(not(X1658)),X1657),X1658),X1658)),
inference(resolution,status(thm),[c1605,c0]) ).
cnf(c1674,plain,
( ~ is_a_theorem(implies(implies(not(not(X1666)),X1667),X1666))
| is_a_theorem(X1666) ),
inference(resolution,status(thm),[c1656,condensed_detachment]) ).
cnf(c266,plain,
is_a_theorem(implies(X228,implies(X227,X227))),
inference(resolution,status(thm),[c251,cn_2]) ).
cnf(c287,plain,
is_a_theorem(implies(implies(implies(X297,X297),X298),implies(X296,X298))),
inference(resolution,status(thm),[c266,c4]) ).
cnf(c363,plain,
( ~ is_a_theorem(implies(implies(X302,X302),X304))
| is_a_theorem(implies(X303,X304)) ),
inference(resolution,status(thm),[c287,condensed_detachment]) ).
cnf(c386,plain,
is_a_theorem(implies(X313,implies(X315,implies(X314,X314)))),
inference(resolution,status(thm),[c363,c287]) ).
cnf(c397,plain,
is_a_theorem(implies(implies(implies(X435,implies(X436,X436)),X437),implies(X434,X437))),
inference(resolution,status(thm),[c386,c4]) ).
cnf(c467,plain,
( ~ is_a_theorem(implies(implies(X474,implies(X472,X472)),X473))
| is_a_theorem(implies(X471,X473)) ),
inference(resolution,status(thm),[c397,condensed_detachment]) ).
cnf(c828,plain,
is_a_theorem(implies(implies(X1916,implies(not(X1917),X1917)),implies(X1915,implies(X1916,X1917)))),
inference(resolution,status(thm),[c87,c344]) ).
cnf(c1927,plain,
is_a_theorem(implies(implies(not(X2368),X2366),implies(X2367,implies(implies(X2366,X2368),X2368)))),
inference(resolution,status(thm),[c828,c87]) ).
cnf(c2615,plain,
is_a_theorem(implies(X2381,implies(X2380,implies(implies(implies(X2382,X2382),X2383),X2383)))),
inference(resolution,status(thm),[c1927,c467]) ).
cnf(c2797,plain,
is_a_theorem(implies(X2384,implies(implies(implies(X2385,X2385),X2386),X2386))),
inference(resolution,status(thm),[c2615,c1674]) ).
cnf(c2820,plain,
is_a_theorem(implies(implies(implies(X2390,X2390),X2391),X2391)),
inference(resolution,status(thm),[c2797,c1674]) ).
cnf(c236,plain,
( ~ is_a_theorem(implies(implies(X3367,X3366),X3364))
| is_a_theorem(implies(implies(implies(not(X3367),X3365),X3366),X3364)) ),
inference(resolution,status(thm),[c22,condensed_detachment]) ).
cnf(c4313,plain,
is_a_theorem(implies(implies(implies(not(implies(X3370,X3370)),X3372),X3371),X3371)),
inference(resolution,status(thm),[c236,c2820]) ).
cnf(c4446,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3430,X3430)),X3428),X3429))
| is_a_theorem(X3429) ),
inference(resolution,status(thm),[c4313,condensed_detachment]) ).
cnf(c1931,plain,
( ~ is_a_theorem(implies(X3797,implies(not(X3798),X3798)))
| is_a_theorem(implies(X3796,implies(X3797,X3798))) ),
inference(resolution,status(thm),[c828,condensed_detachment]) ).
cnf(c5190,plain,
is_a_theorem(implies(X4272,implies(implies(implies(X4275,implies(X4273,X4273)),X4274),X4274))),
inference(resolution,status(thm),[c1931,c397]) ).
cnf(c6521,plain,
is_a_theorem(implies(implies(implies(X4278,implies(X4280,X4280)),X4279),X4279)),
inference(resolution,status(thm),[c5190,c4446]) ).
cnf(c6556,plain,
( ~ is_a_theorem(implies(implies(X4325,implies(X4326,X4326)),X4324))
| is_a_theorem(X4324) ),
inference(resolution,status(thm),[c6521,condensed_detachment]) ).
cnf(c2606,plain,
is_a_theorem(implies(X2372,implies(X2371,implies(implies(X2373,X2372),X2372)))),
inference(resolution,status(thm),[c1927,c20]) ).
cnf(c5218,plain,
is_a_theorem(implies(X3897,implies(X3898,implies(implies(X3899,X3898),X3898)))),
inference(resolution,status(thm),[c1931,c2606]) ).
cnf(c5465,plain,
is_a_theorem(implies(X3901,implies(implies(X3900,X3901),X3901))),
inference(resolution,status(thm),[c5218,c4446]) ).
cnf(c5504,plain,
is_a_theorem(implies(implies(implies(implies(X4716,X4718),X4718),X4717),implies(X4718,X4717))),
inference(resolution,status(thm),[c5465,c4]) ).
cnf(c7399,plain,
is_a_theorem(implies(implies(X4916,implies(X4914,X4915)),implies(X4915,implies(X4916,X4915)))),
inference(resolution,status(thm),[c5504,c87]) ).
cnf(c7599,plain,
is_a_theorem(implies(X4921,implies(X4922,X4921))),
inference(resolution,status(thm),[c7399,c6556]) ).
cnf(c7629,plain,
is_a_theorem(implies(implies(implies(X5186,X5184),X5185),implies(X5184,X5185))),
inference(resolution,status(thm),[c7599,c4]) ).
cnf(c8342,plain,
( ~ is_a_theorem(implies(implies(X5333,X5334),X5332))
| is_a_theorem(implies(X5334,X5332)) ),
inference(resolution,status(thm),[c7629,condensed_detachment]) ).
cnf(c8626,plain,
is_a_theorem(implies(X5567,implies(X5566,implies(implies(X5567,X5565),X5565)))),
inference(resolution,status(thm),[c8342,c1927]) ).
cnf(c9626,plain,
is_a_theorem(implies(X5689,implies(X5690,implies(implies(X5690,X5691),X5691)))),
inference(resolution,status(thm),[c8626,c1931]) ).
cnf(c9869,plain,
is_a_theorem(implies(X5692,implies(implies(X5692,X5693),X5693))),
inference(resolution,status(thm),[c9626,c4446]) ).
cnf(c9908,plain,
( ~ is_a_theorem(X5711)
| is_a_theorem(implies(implies(X5711,X5712),X5712)) ),
inference(resolution,status(thm),[c9869,condensed_detachment]) ).
cnf(c10008,plain,
is_a_theorem(implies(implies(implies(implies(not(X7241),X7241),X7241),X7242),X7242)),
inference(resolution,status(thm),[c9908,cn_2]) ).
cnf(c14725,plain,
is_a_theorem(implies(implies(X8022,implies(not(X8021),X8021)),implies(X8022,X8021))),
inference(resolution,status(thm),[c10008,c87]) ).
cnf(c17342,plain,
is_a_theorem(implies(implies(not(X8677),X8676),implies(implies(X8676,X8677),X8677))),
inference(resolution,status(thm),[c14725,c87]) ).
cnf(c19154,plain,
( ~ is_a_theorem(implies(not(X9595),X9594))
| is_a_theorem(implies(implies(X9594,X9595),X9595)) ),
inference(resolution,status(thm),[c17342,condensed_detachment]) ).
cnf(c17344,plain,
( ~ is_a_theorem(implies(X8709,implies(not(X8708),X8708)))
| is_a_theorem(implies(X8709,X8708)) ),
inference(resolution,status(thm),[c14725,condensed_detachment]) ).
cnf(c10081,plain,
is_a_theorem(implies(implies(implies(X7260,implies(not(X7260),X7261)),X7259),X7259)),
inference(resolution,status(thm),[c9908,cn_3]) ).
cnf(c14761,plain,
( ~ is_a_theorem(implies(implies(X8285,implies(not(X8285),X8286)),X8284))
| is_a_theorem(X8284) ),
inference(resolution,status(thm),[c10081,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X265,X263)),implies(X265,X263)),implies(implies(X263,X264),implies(X265,X264)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c327,plain,
( ~ is_a_theorem(implies(not(implies(X4284,X4283)),implies(X4284,X4283)))
| is_a_theorem(implies(implies(X4283,X4285),implies(X4284,X4285))) ),
inference(resolution,status(thm),[c28,condensed_detachment]) ).
cnf(c9875,plain,
is_a_theorem(implies(implies(implies(implies(X12636,X12637),X12637),X12635),implies(X12636,X12635))),
inference(resolution,status(thm),[c9626,c327]) ).
cnf(c31827,plain,
is_a_theorem(implies(implies(X15936,implies(X15934,X15935)),implies(X15934,implies(X15936,X15935)))),
inference(resolution,status(thm),[c9875,c87]) ).
cnf(c39803,plain,
is_a_theorem(implies(not(X15948),implies(X15948,X15947))),
inference(resolution,status(thm),[c31827,c14761]) ).
cnf(c39861,plain,
is_a_theorem(implies(not(not(X15949)),X15949)),
inference(resolution,status(thm),[c39803,c17344]) ).
cnf(c39921,plain,
is_a_theorem(implies(implies(X16164,not(X16164)),not(X16164))),
inference(resolution,status(thm),[c39861,c19154]) ).
cnf(c40703,plain,
is_a_theorem(implies(X16165,not(not(X16165)))),
inference(resolution,status(thm),[c39921,c20]) ).
cnf(c40777,plain,
is_a_theorem(implies(implies(not(not(X19108)),X19109),implies(X19108,X19109))),
inference(resolution,status(thm),[c40703,c4]) ).
cnf(c57264,plain,
$false,
inference(resolution,status(thm),[c40777,prove_cn_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL396-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 2 18:25:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 82.02/82.21 # Version: 1.3
% 82.02/82.21 # SZS status Unsatisfiable
% 82.02/82.21 # SZS output start CNFRefutation
% See solution above
% 82.02/82.21
% 82.02/82.21 # Initial clauses : 5
% 82.02/82.21 # Processed clauses : 1042
% 82.02/82.21 # Factors computed : 0
% 82.02/82.21 # Resolvents computed: 57289
% 82.02/82.21 # Tautologies deleted: 1
% 82.02/82.21 # Forward subsumed : 5008
% 82.02/82.21 # Backward subsumed : 129
% 82.02/82.21 # -------- CPU Time ---------
% 82.02/82.21 # User time : 81.720 s
% 82.02/82.21 # System time : 0.127 s
% 82.02/82.21 # Total time : 81.847 s
%------------------------------------------------------------------------------