TSTP Solution File: LCL402-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL402-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 63.97s 64.14s
% Output : Refutation 63.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_68,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,not(y))),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(X22,X21))
| is_a_theorem(implies(implies(X21,X23),implies(X22,X23))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X110,X113),implies(X111,X113)),X112),implies(implies(X111,X110),X112))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c114,plain,
( ~ is_a_theorem(implies(implies(implies(X1412,X1410),implies(X1411,X1410)),X1413))
| is_a_theorem(implies(implies(X1411,X1412),X1413)) ),
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(X33),X32),X31),implies(X33,X31))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X49),X50),X51))
| is_a_theorem(implies(X49,X51)) ),
inference(resolution,status(thm),[c15,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X9)
| is_a_theorem(implies(not(X9),X8)) ),
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(X60,X60)),X61)),
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(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)),X219),X217),implies(X218,X217))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c250,plain,
( ~ is_a_theorem(implies(implies(not(implies(X223,X223)),X221),X220))
| is_a_theorem(implies(X222,X220)) ),
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(X265,implies(implies(not(X266),X266),X266))),
inference(resolution,status(thm),[c25,c250]) ).
cnf(c342,plain,
is_a_theorem(implies(implies(implies(implies(not(X909),X909),X909),X907),implies(X908,X907))),
inference(resolution,status(thm),[c296,c4]) ).
cnf(c1166,plain,
is_a_theorem(implies(implies(X2084,implies(not(X2086),X2086)),implies(X2085,implies(X2084,X2086)))),
inference(resolution,status(thm),[c114,c342]) ).
cnf(c2095,plain,
( ~ is_a_theorem(implies(X4057,implies(not(X4056),X4056)))
| is_a_theorem(implies(X4058,implies(X4057,X4056))) ),
inference(resolution,status(thm),[c1166,condensed_detachment]) ).
cnf(c2093,plain,
is_a_theorem(implies(implies(not(X2429),X2427),implies(X2428,implies(implies(X2427,X2429),X2429)))),
inference(resolution,status(thm),[c1166,c114]) ).
cnf(c265,plain,
is_a_theorem(implies(X227,implies(X228,X228))),
inference(resolution,status(thm),[c250,cn_2]) ).
cnf(c286,plain,
is_a_theorem(implies(implies(implies(X296,X296),X297),implies(X298,X297))),
inference(resolution,status(thm),[c265,c4]) ).
cnf(c354,plain,
( ~ is_a_theorem(implies(implies(X302,X302),X304))
| is_a_theorem(implies(X303,X304)) ),
inference(resolution,status(thm),[c286,condensed_detachment]) ).
cnf(c366,plain,
is_a_theorem(implies(X314,implies(X315,implies(X313,X313)))),
inference(resolution,status(thm),[c354,c286]) ).
cnf(c397,plain,
is_a_theorem(implies(implies(implies(X435,implies(X436,X436)),X434),implies(X437,X434))),
inference(resolution,status(thm),[c366,c4]) ).
cnf(c5716,plain,
is_a_theorem(implies(X4392,implies(implies(implies(X4393,implies(X4394,X4394)),X4391),X4391))),
inference(resolution,status(thm),[c2095,c397]) ).
cnf(c6688,plain,
is_a_theorem(implies(implies(implies(X4403,implies(X4402,X4402)),X4401),X4401)),
inference(resolution,status(thm),[c5716,c0]) ).
cnf(c6750,plain,
( ~ is_a_theorem(implies(implies(X4450,implies(X4451,X4451)),X4449))
| is_a_theorem(X4449) ),
inference(resolution,status(thm),[c6688,condensed_detachment]) ).
cnf(c2716,plain,
is_a_theorem(implies(X2430,implies(X2432,implies(implies(X2431,X2430),X2430)))),
inference(resolution,status(thm),[c2093,c20]) ).
cnf(c5625,plain,
is_a_theorem(implies(X4091,implies(X4092,implies(implies(X4093,X4092),X4092)))),
inference(resolution,status(thm),[c2095,c2716]) ).
cnf(c5813,plain,
is_a_theorem(implies(X4095,implies(implies(X4094,X4095),X4095))),
inference(resolution,status(thm),[c5625,c0]) ).
cnf(c5862,plain,
is_a_theorem(implies(implies(implies(implies(X4877,X4876),X4876),X4875),implies(X4876,X4875))),
inference(resolution,status(thm),[c5813,c4]) ).
cnf(c7625,plain,
is_a_theorem(implies(implies(X5070,implies(X5069,X5071)),implies(X5071,implies(X5070,X5071)))),
inference(resolution,status(thm),[c5862,c114]) ).
cnf(c7709,plain,
is_a_theorem(implies(X5073,implies(X5072,X5073))),
inference(resolution,status(thm),[c7625,c6750]) ).
cnf(c7750,plain,
is_a_theorem(implies(implies(implies(X5359,X5358),X5357),implies(X5358,X5357))),
inference(resolution,status(thm),[c7709,c4]) ).
cnf(c8591,plain,
( ~ is_a_theorem(implies(implies(X5476,X5477),X5478))
| is_a_theorem(implies(X5477,X5478)) ),
inference(resolution,status(thm),[c7750,condensed_detachment]) ).
cnf(c8748,plain,
is_a_theorem(implies(X5727,implies(X5728,implies(implies(X5727,X5726),X5726)))),
inference(resolution,status(thm),[c8591,c2093]) ).
cnf(c9835,plain,
is_a_theorem(implies(X5846,implies(X5847,implies(implies(X5847,X5848),X5848)))),
inference(resolution,status(thm),[c8748,c2095]) ).
cnf(c10549,plain,
is_a_theorem(implies(X5850,implies(implies(X5850,X5849),X5849))),
inference(resolution,status(thm),[c9835,c0]) ).
cnf(c10586,plain,
( ~ is_a_theorem(X5872)
| is_a_theorem(implies(implies(X5872,X5871),X5871)) ),
inference(resolution,status(thm),[c10549,condensed_detachment]) ).
cnf(c10726,plain,
is_a_theorem(implies(implies(implies(implies(not(X7418),X7418),X7418),X7417),X7417)),
inference(resolution,status(thm),[c10586,cn_2]) ).
cnf(c14948,plain,
is_a_theorem(implies(implies(X8363,implies(not(X8364),X8364)),implies(X8363,X8364))),
inference(resolution,status(thm),[c10726,c114]) ).
cnf(c18029,plain,
( ~ is_a_theorem(implies(X8888,implies(not(X8887),X8887)))
| is_a_theorem(implies(X8888,X8887)) ),
inference(resolution,status(thm),[c14948,condensed_detachment]) ).
cnf(c1162,plain,
is_a_theorem(implies(implies(X1483,not(X1482)),implies(X1482,implies(X1483,X1484)))),
inference(resolution,status(thm),[c114,c15]) ).
cnf(c1450,plain,
( ~ is_a_theorem(implies(X1551,not(X1553)))
| is_a_theorem(implies(X1553,implies(X1551,X1552))) ),
inference(resolution,status(thm),[c1162,condensed_detachment]) ).
cnf(c18049,plain,
is_a_theorem(implies(implies(not(X9522),X9521),implies(implies(X9521,X9522),X9522))),
inference(resolution,status(thm),[c14948,c114]) ).
cnf(c22205,plain,
( ~ is_a_theorem(implies(not(X10286),X10285))
| is_a_theorem(implies(implies(X10285,X10286),X10286)) ),
inference(resolution,status(thm),[c18049,condensed_detachment]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(X181,X184),X183),implies(implies(implies(not(X181),X182),X184),X183))),
inference(resolution,status(thm),[c15,c4]) ).
cnf(c769,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1101),X1101),X1101),X1103))
| is_a_theorem(implies(X1102,X1103)) ),
inference(resolution,status(thm),[c342,condensed_detachment]) ).
cnf(c949,plain,
is_a_theorem(implies(X1182,implies(implies(implies(not(not(X1181)),X1180),X1181),X1181))),
inference(resolution,status(thm),[c769,c22]) ).
cnf(c995,plain,
is_a_theorem(implies(implies(implies(not(not(X1190)),X1189),X1190),X1190)),
inference(resolution,status(thm),[c949,c0]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X278,X277)),implies(X278,X277)),implies(implies(X277,X279),implies(X278,X279)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c345,plain,
( ~ is_a_theorem(implies(not(implies(X4455,X4456)),implies(X4455,X4456)))
| is_a_theorem(implies(implies(X4456,X4454),implies(X4455,X4454))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c10546,plain,
is_a_theorem(implies(implies(implies(implies(X12502,X12501),X12501),X12500),implies(X12502,X12500))),
inference(resolution,status(thm),[c9835,c345]) ).
cnf(c29102,plain,
( ~ is_a_theorem(implies(implies(implies(X16046,X16045),X16045),X16047))
| is_a_theorem(implies(X16046,X16047)) ),
inference(resolution,status(thm),[c10546,condensed_detachment]) ).
cnf(c39081,plain,
is_a_theorem(implies(not(not(X16067)),X16067)),
inference(resolution,status(thm),[c29102,c995]) ).
cnf(c39316,plain,
is_a_theorem(implies(implies(X16319,not(X16319)),not(X16319))),
inference(resolution,status(thm),[c39081,c22205]) ).
cnf(c41067,plain,
is_a_theorem(implies(X16320,not(not(X16320)))),
inference(resolution,status(thm),[c39316,c20]) ).
cnf(c41120,plain,
is_a_theorem(implies(X16431,not(not(implies(X16430,X16431))))),
inference(resolution,status(thm),[c41067,c8591]) ).
cnf(c43081,plain,
is_a_theorem(implies(not(implies(X16862,X16860)),implies(X16860,X16861))),
inference(resolution,status(thm),[c41120,c1450]) ).
cnf(c46570,plain,
is_a_theorem(implies(not(implies(X16893,not(X16892))),X16892)),
inference(resolution,status(thm),[c43081,c18029]) ).
cnf(c46742,plain,
$false,
inference(resolution,status(thm),[c46570,prove_cn_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL402-1 : TPTP v8.1.0. Released v2.3.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 4 08:32:41 EDT 2022
% 0.15/0.36 % CPUTime :
% 63.97/64.14 # Version: 1.3
% 63.97/64.14 # SZS status Unsatisfiable
% 63.97/64.14 # SZS output start CNFRefutation
% See solution above
% 63.97/64.14
% 63.97/64.14 # Initial clauses : 5
% 63.97/64.14 # Processed clauses : 939
% 63.97/64.14 # Factors computed : 0
% 63.97/64.14 # Resolvents computed: 46780
% 63.97/64.14 # Tautologies deleted: 1
% 63.97/64.14 # Forward subsumed : 4343
% 63.97/64.14 # Backward subsumed : 137
% 63.97/64.14 # -------- CPU Time ---------
% 63.97/64.14 # User time : 63.683 s
% 63.97/64.14 # System time : 0.093 s
% 63.97/64.14 # Total time : 63.776 s
%------------------------------------------------------------------------------