TSTP Solution File: LCL379-1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL379-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 13:54:05 EDT 2022
% Result : Unsatisfiable 43.69s 43.91s
% Output : Refutation 43.69s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_38,negated_conjecture,
~ is_a_theorem(implies(implies(x,not(x)),not(x))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X11,X12),implies(implies(X12,X10),implies(X11,X10)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X23,X21))
| is_a_theorem(implies(implies(X21,X22),implies(X23,X22))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X110,X111),implies(X112,X111)),X113),implies(implies(X112,X110),X113))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c114,plain,
( ~ is_a_theorem(implies(implies(implies(X1412,X1411),implies(X1410,X1411)),X1413))
| is_a_theorem(implies(implies(X1410,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(X3,implies(not(X3),X4))),
input ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X31),X33),X32),implies(X31,X32))),
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),[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(X116,X114),implies(not(implies(X115,X115)),X114))),
inference(resolution,status(thm),[c55,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
inference(resolution,status(thm),[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X217,X217)),X219),X216),implies(X218,X216))),
inference(resolution,status(thm),[c122,c4]) ).
cnf(c250,plain,
( ~ is_a_theorem(implies(implies(not(implies(X222,X222)),X220),X221))
| is_a_theorem(implies(X223,X221)) ),
inference(resolution,status(thm),[c132,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(X297,X297),X296),implies(X298,X296))),
inference(resolution,status(thm),[c266,c4]) ).
cnf(c354,plain,
( ~ is_a_theorem(implies(implies(X302,X302),X303))
| is_a_theorem(implies(X304,X303)) ),
inference(resolution,status(thm),[c286,condensed_detachment]) ).
cnf(c366,plain,
is_a_theorem(implies(X313,implies(X315,implies(X314,X314)))),
inference(resolution,status(thm),[c354,c286]) ).
cnf(c397,plain,
is_a_theorem(implies(implies(implies(X437,implies(X435,X435)),X434),implies(X436,X434))),
inference(resolution,status(thm),[c366,c4]) ).
cnf(c467,plain,
( ~ is_a_theorem(implies(implies(X474,implies(X471,X471)),X472))
| is_a_theorem(implies(X473,X472)) ),
inference(resolution,status(thm),[c397,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(c25,plain,
is_a_theorem(implies(implies(not(implies(X237,X236)),implies(X237,X236)),implies(implies(not(X237),X237),X236))),
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(X909),X909),X909),X907),implies(X908,X907))),
inference(resolution,status(thm),[c296,c4]) ).
cnf(c1143,plain,
is_a_theorem(implies(implies(X2044,implies(not(X2045),X2045)),implies(X2046,implies(X2044,X2045)))),
inference(resolution,status(thm),[c114,c342]) ).
cnf(c2048,plain,
is_a_theorem(implies(implies(not(X2365),X2364),implies(X2363,implies(implies(X2364,X2365),X2365)))),
inference(resolution,status(thm),[c1143,c114]) ).
cnf(c2475,plain,
is_a_theorem(implies(X2379,implies(X2380,implies(implies(implies(X2377,X2377),X2378),X2378)))),
inference(resolution,status(thm),[c2048,c467]) ).
cnf(c2656,plain,
is_a_theorem(implies(X2381,implies(implies(implies(X2383,X2383),X2382),X2382))),
inference(resolution,status(thm),[c2475,c0]) ).
cnf(c2678,plain,
is_a_theorem(implies(implies(implies(X2385,X2385),X2384),X2384)),
inference(resolution,status(thm),[c2656,c0]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(X184,X183),X181),implies(implies(implies(not(X184),X182),X183),X181))),
inference(resolution,status(thm),[c15,c4]) ).
cnf(c235,plain,
( ~ is_a_theorem(implies(implies(X3351,X3350),X3353))
| is_a_theorem(implies(implies(implies(not(X3351),X3352),X3350),X3353)) ),
inference(resolution,status(thm),[c22,condensed_detachment]) ).
cnf(c4145,plain,
is_a_theorem(implies(implies(implies(not(implies(X3356,X3356)),X3357),X3358),X3358)),
inference(resolution,status(thm),[c235,c2678]) ).
cnf(c4209,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3412,X3412)),X3413),X3414))
| is_a_theorem(X3414) ),
inference(resolution,status(thm),[c4145,condensed_detachment]) ).
cnf(c2049,plain,
( ~ is_a_theorem(implies(X3787,implies(not(X3785),X3785)))
| is_a_theorem(implies(X3786,implies(X3787,X3785))) ),
inference(resolution,status(thm),[c1143,condensed_detachment]) ).
cnf(c4891,plain,
is_a_theorem(implies(X4269,implies(implies(implies(X4267,implies(X4266,X4266)),X4268),X4268))),
inference(resolution,status(thm),[c2049,c397]) ).
cnf(c6206,plain,
is_a_theorem(implies(implies(implies(X4274,implies(X4272,X4272)),X4273),X4273)),
inference(resolution,status(thm),[c4891,c4209]) ).
cnf(c6240,plain,
( ~ is_a_theorem(implies(implies(X4312,implies(X4310,X4310)),X4311))
| is_a_theorem(X4311) ),
inference(resolution,status(thm),[c6206,condensed_detachment]) ).
cnf(c2471,plain,
is_a_theorem(implies(X2367,implies(X2368,implies(implies(X2366,X2367),X2367)))),
inference(resolution,status(thm),[c2048,c20]) ).
cnf(c4929,plain,
is_a_theorem(implies(X3889,implies(X3888,implies(implies(X3887,X3888),X3888)))),
inference(resolution,status(thm),[c2049,c2471]) ).
cnf(c5177,plain,
is_a_theorem(implies(X3894,implies(implies(X3895,X3894),X3894))),
inference(resolution,status(thm),[c4929,c4209]) ).
cnf(c5247,plain,
is_a_theorem(implies(implies(implies(implies(X4740,X4739),X4739),X4738),implies(X4739,X4738))),
inference(resolution,status(thm),[c5177,c4]) ).
cnf(c7095,plain,
is_a_theorem(implies(implies(X4942,implies(X4943,X4941)),implies(X4941,implies(X4942,X4941)))),
inference(resolution,status(thm),[c5247,c114]) ).
cnf(c7258,plain,
is_a_theorem(implies(X4950,implies(X4949,X4950))),
inference(resolution,status(thm),[c7095,c6240]) ).
cnf(c7292,plain,
is_a_theorem(implies(implies(implies(X5220,X5219),X5218),implies(X5219,X5218))),
inference(resolution,status(thm),[c7258,c4]) ).
cnf(c7968,plain,
( ~ is_a_theorem(implies(implies(X5362,X5363),X5364))
| is_a_theorem(implies(X5363,X5364)) ),
inference(resolution,status(thm),[c7292,condensed_detachment]) ).
cnf(c8253,plain,
is_a_theorem(implies(X5619,implies(X5620,implies(implies(X5619,X5618),X5618)))),
inference(resolution,status(thm),[c7968,c2048]) ).
cnf(c9297,plain,
is_a_theorem(implies(X5718,implies(X5719,implies(implies(X5719,X5717),X5717)))),
inference(resolution,status(thm),[c8253,c2049]) ).
cnf(c9466,plain,
is_a_theorem(implies(X5720,implies(implies(X5720,X5721),X5721))),
inference(resolution,status(thm),[c9297,c4209]) ).
cnf(c9504,plain,
( ~ is_a_theorem(X5739)
| is_a_theorem(implies(implies(X5739,X5740),X5740)) ),
inference(resolution,status(thm),[c9466,condensed_detachment]) ).
cnf(c9750,plain,
is_a_theorem(implies(implies(implies(implies(not(X7260),X7260),X7260),X7261),X7261)),
inference(resolution,status(thm),[c9504,cn_2]) ).
cnf(c14234,plain,
is_a_theorem(implies(implies(X8045,implies(not(X8046),X8046)),implies(X8045,X8046))),
inference(resolution,status(thm),[c9750,c114]) ).
cnf(c16887,plain,
is_a_theorem(implies(implies(not(X8690),X8689),implies(implies(X8689,X8690),X8690))),
inference(resolution,status(thm),[c14234,c114]) ).
cnf(c18640,plain,
( ~ is_a_theorem(implies(not(X9598),X9597))
| is_a_theorem(implies(implies(X9597,X9598),X9598)) ),
inference(resolution,status(thm),[c16887,condensed_detachment]) ).
cnf(c16905,plain,
( ~ is_a_theorem(implies(X8733,implies(not(X8732),X8732)))
| is_a_theorem(implies(X8733,X8732)) ),
inference(resolution,status(thm),[c14234,condensed_detachment]) ).
cnf(c9817,plain,
is_a_theorem(implies(implies(implies(X7286,implies(not(X7286),X7287)),X7288),X7288)),
inference(resolution,status(thm),[c9504,cn_3]) ).
cnf(c14284,plain,
( ~ is_a_theorem(implies(implies(X8308,implies(not(X8308),X8309)),X8310))
| is_a_theorem(X8310) ),
inference(resolution,status(thm),[c9817,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X279,X277)),implies(X279,X277)),implies(implies(X277,X278),implies(X279,X278)))),
inference(resolution,status(thm),[c17,cn_1]) ).
cnf(c345,plain,
( ~ is_a_theorem(implies(not(implies(X4410,X4411)),implies(X4410,X4411)))
| is_a_theorem(implies(implies(X4411,X4412),implies(X4410,X4412))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c9475,plain,
is_a_theorem(implies(implies(implies(implies(X12312,X12311),X12311),X12310),implies(X12312,X12310))),
inference(resolution,status(thm),[c9297,c345]) ).
cnf(c28033,plain,
is_a_theorem(implies(implies(X15863,implies(X15864,X15865)),implies(X15864,implies(X15863,X15865)))),
inference(resolution,status(thm),[c9475,c114]) ).
cnf(c36881,plain,
is_a_theorem(implies(not(X15870),implies(X15870,X15871))),
inference(resolution,status(thm),[c28033,c14284]) ).
cnf(c36900,plain,
is_a_theorem(implies(not(not(X15878)),X15878)),
inference(resolution,status(thm),[c36881,c16905]) ).
cnf(c36995,plain,
is_a_theorem(implies(implies(X16079,not(X16079)),not(X16079))),
inference(resolution,status(thm),[c36900,c18640]) ).
cnf(c38376,plain,
$false,
inference(resolution,status(thm),[c36995,prove_cn_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL379-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n004.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 : Mon Jul 4 22:06:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.69/43.91 # Version: 1.3
% 43.69/43.91 # SZS status Unsatisfiable
% 43.69/43.91 # SZS output start CNFRefutation
% See solution above
% 43.69/43.92
% 43.69/43.92 # Initial clauses : 5
% 43.69/43.92 # Processed clauses : 867
% 43.69/43.92 # Factors computed : 0
% 43.69/43.92 # Resolvents computed: 38400
% 43.69/43.92 # Tautologies deleted: 1
% 43.69/43.92 # Forward subsumed : 4116
% 43.69/43.92 # Backward subsumed : 79
% 43.69/43.92 # -------- CPU Time ---------
% 43.69/43.92 # User time : 43.494 s
% 43.69/43.92 # System time : 0.067 s
% 43.69/43.92 # Total time : 43.561 s
%------------------------------------------------------------------------------