TSTP Solution File: LCL380-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL380-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 13:54:06 EDT 2022
% Result : Unsatisfiable 67.18s 67.41s
% Output : Refutation 67.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_41,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(not(not(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(X12,X10),implies(implies(X10,X11),implies(X12,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(c15,plain,
is_a_theorem(implies(implies(implies(implies(X94,X92),implies(X93,X92)),X95),implies(implies(X93,X94),X95))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c87,plain,
( ~ is_a_theorem(implies(implies(implies(X931,X929),implies(X928,X929)),X930))
| is_a_theorem(implies(implies(X928,X931),X930)) ),
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(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
input ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(not(X31),X32),X33),implies(X31,X33))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(X182,X183),X184),implies(implies(implies(not(X182),X181),X183),X184))),
inference(resolution,status(thm),[c14,c4]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X50),X49),X51))
| is_a_theorem(implies(X50,X51)) ),
inference(resolution,status(thm),[c14,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(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(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,status(thm),[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X218,X218)),X219),X217),implies(X216,X217))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c251,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X222),X223))
| is_a_theorem(implies(X220,X223)) ),
inference(resolution,status(thm),[c132,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
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(X907),X907),X907),X909),implies(X908,X909))),
inference(resolution,status(thm),[c305,c4]) ).
cnf(c769,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1548),X1548),X1548),X1547))
| is_a_theorem(implies(X1546,X1547)) ),
inference(resolution,status(thm),[c344,condensed_detachment]) ).
cnf(c1606,plain,
is_a_theorem(implies(X1656,implies(implies(implies(not(not(X1655)),X1654),X1655),X1655))),
inference(resolution,status(thm),[c769,c22]) ).
cnf(c1657,plain,
is_a_theorem(implies(implies(implies(not(not(X1657)),X1658),X1657),X1657)),
inference(resolution,status(thm),[c1606,c0]) ).
cnf(c1677,plain,
( ~ is_a_theorem(implies(implies(not(not(X1666)),X1667),X1666))
| is_a_theorem(X1666) ),
inference(resolution,status(thm),[c1657,condensed_detachment]) ).
cnf(c819,plain,
is_a_theorem(implies(implies(X1915,implies(not(X1917),X1917)),implies(X1916,implies(X1915,X1917)))),
inference(resolution,status(thm),[c87,c344]) ).
cnf(c1932,plain,
( ~ is_a_theorem(implies(X3796,implies(not(X3798),X3798)))
| is_a_theorem(implies(X3797,implies(X3796,X3798))) ),
inference(resolution,status(thm),[c819,condensed_detachment]) ).
cnf(c1929,plain,
is_a_theorem(implies(implies(not(X2368),X2366),implies(X2367,implies(implies(X2366,X2368),X2368)))),
inference(resolution,status(thm),[c819,c87]) ).
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(X304,X304),X303))
| is_a_theorem(implies(X302,X303)) ),
inference(resolution,status(thm),[c287,condensed_detachment]) ).
cnf(c386,plain,
is_a_theorem(implies(X314,implies(X315,implies(X313,X313)))),
inference(resolution,status(thm),[c363,c287]) ).
cnf(c397,plain,
is_a_theorem(implies(implies(implies(X435,implies(X437,X437)),X436),implies(X434,X436))),
inference(resolution,status(thm),[c386,c4]) ).
cnf(c5177,plain,
is_a_theorem(implies(X4273,implies(implies(implies(X4272,implies(X4274,X4274)),X4275),X4275))),
inference(resolution,status(thm),[c1932,c397]) ).
cnf(c6518,plain,
is_a_theorem(implies(implies(implies(X4278,implies(X4279,X4279)),X4280),X4280)),
inference(resolution,status(thm),[c5177,c1677]) ).
cnf(c6563,plain,
( ~ is_a_theorem(implies(implies(X4325,implies(X4326,X4326)),X4324))
| is_a_theorem(X4324) ),
inference(resolution,status(thm),[c6518,condensed_detachment]) ).
cnf(c2608,plain,
is_a_theorem(implies(X2372,implies(X2371,implies(implies(X2373,X2372),X2372)))),
inference(resolution,status(thm),[c1929,c20]) ).
cnf(c5209,plain,
is_a_theorem(implies(X3891,implies(X3893,implies(implies(X3892,X3893),X3893)))),
inference(resolution,status(thm),[c1932,c2608]) ).
cnf(c5462,plain,
is_a_theorem(implies(X3894,implies(implies(X3895,X3894),X3894))),
inference(resolution,status(thm),[c5209,c1677]) ).
cnf(c5506,plain,
is_a_theorem(implies(implies(implies(implies(X4718,X4716),X4716),X4717),implies(X4716,X4717))),
inference(resolution,status(thm),[c5462,c4]) ).
cnf(c7401,plain,
is_a_theorem(implies(implies(X4914,implies(X4915,X4916)),implies(X4916,implies(X4914,X4916)))),
inference(resolution,status(thm),[c5506,c87]) ).
cnf(c7612,plain,
is_a_theorem(implies(X4922,implies(X4921,X4922))),
inference(resolution,status(thm),[c7401,c6563]) ).
cnf(c7631,plain,
is_a_theorem(implies(implies(implies(X5184,X5185),X5186),implies(X5185,X5186))),
inference(resolution,status(thm),[c7612,c4]) ).
cnf(c8346,plain,
( ~ is_a_theorem(implies(implies(X5332,X5333),X5334))
| is_a_theorem(implies(X5333,X5334)) ),
inference(resolution,status(thm),[c7631,condensed_detachment]) ).
cnf(c8673,plain,
is_a_theorem(implies(X5577,implies(X5575,implies(implies(X5577,X5576),X5576)))),
inference(resolution,status(thm),[c8346,c1929]) ).
cnf(c9633,plain,
is_a_theorem(implies(X5690,implies(X5689,implies(implies(X5689,X5691),X5691)))),
inference(resolution,status(thm),[c8673,c1932]) ).
cnf(c9865,plain,
is_a_theorem(implies(X5693,implies(implies(X5693,X5692),X5692))),
inference(resolution,status(thm),[c9633,c1677]) ).
cnf(c9910,plain,
( ~ is_a_theorem(X5712)
| is_a_theorem(implies(implies(X5712,X5711),X5711)) ),
inference(resolution,status(thm),[c9865,condensed_detachment]) ).
cnf(c10005,plain,
is_a_theorem(implies(implies(implies(implies(not(X7241),X7241),X7241),X7242),X7242)),
inference(resolution,status(thm),[c9910,cn_2]) ).
cnf(c14720,plain,
is_a_theorem(implies(implies(X8021,implies(not(X8022),X8022)),implies(X8021,X8022))),
inference(resolution,status(thm),[c10005,c87]) ).
cnf(c17342,plain,
( ~ is_a_theorem(implies(X8709,implies(not(X8708),X8708)))
| is_a_theorem(implies(X8709,X8708)) ),
inference(resolution,status(thm),[c14720,condensed_detachment]) ).
cnf(c10073,plain,
is_a_theorem(implies(implies(implies(X7259,implies(not(X7259),X7260)),X7261),X7261)),
inference(resolution,status(thm),[c9910,cn_3]) ).
cnf(c14759,plain,
( ~ is_a_theorem(implies(implies(X8286,implies(not(X8286),X8284)),X8285))
| is_a_theorem(X8285) ),
inference(resolution,status(thm),[c10073,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X264,X265)),implies(X264,X265)),implies(implies(X265,X263),implies(X264,X263)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c327,plain,
( ~ is_a_theorem(implies(not(implies(X4283,X4285)),implies(X4283,X4285)))
| is_a_theorem(implies(implies(X4285,X4284),implies(X4283,X4284))) ),
inference(resolution,status(thm),[c28,condensed_detachment]) ).
cnf(c9894,plain,
is_a_theorem(implies(implies(implies(implies(X12717,X12718),X12718),X12719),implies(X12717,X12719))),
inference(resolution,status(thm),[c9633,c327]) ).
cnf(c32021,plain,
is_a_theorem(implies(implies(X16009,implies(X16010,X16011)),implies(X16010,implies(X16009,X16011)))),
inference(resolution,status(thm),[c9894,c87]) ).
cnf(c39796,plain,
is_a_theorem(implies(not(X16023),implies(X16023,X16022))),
inference(resolution,status(thm),[c32021,c14759]) ).
cnf(c39843,plain,
is_a_theorem(implies(not(not(X16024)),X16024)),
inference(resolution,status(thm),[c39796,c17342]) ).
cnf(c39902,plain,
is_a_theorem(implies(implies(X18441,X18442),implies(not(not(X18441)),X18442))),
inference(resolution,status(thm),[c39843,c4]) ).
cnf(c53670,plain,
$false,
inference(resolution,status(thm),[c39902,prove_cn_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL380-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 01:55:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 67.18/67.41 # Version: 1.3
% 67.18/67.41 # SZS status Unsatisfiable
% 67.18/67.41 # SZS output start CNFRefutation
% See solution above
% 67.18/67.41
% 67.18/67.41 # Initial clauses : 5
% 67.18/67.41 # Processed clauses : 999
% 67.18/67.41 # Factors computed : 0
% 67.18/67.41 # Resolvents computed: 53798
% 67.18/67.41 # Tautologies deleted: 1
% 67.18/67.41 # Forward subsumed : 4790
% 67.18/67.41 # Backward subsumed : 129
% 67.18/67.41 # -------- CPU Time ---------
% 67.18/67.41 # User time : 66.926 s
% 67.18/67.41 # System time : 0.120 s
% 67.18/67.41 # Total time : 67.046 s
%------------------------------------------------------------------------------