TSTP Solution File: LCL378-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL378-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 44.09s 44.34s
% Output : Refutation 44.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_36,negated_conjecture,
~ is_a_theorem(implies(not(x),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_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
input ).
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_1,axiom,
is_a_theorem(implies(implies(X12,X11),implies(implies(X11,X10),implies(X12,X10)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X23,X22))
| is_a_theorem(implies(implies(X22,X21),implies(X23,X21))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X32),X33),X31),implies(X32,X31))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X51),X50),X49))
| is_a_theorem(implies(X51,X49)) ),
inference(resolution,status(thm),[c13,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),[c21,cn_2]) ).
cnf(c56,plain,
is_a_theorem(implies(not(implies(X61,X61)),X60)),
inference(resolution,status(thm),[c42,c1]) ).
cnf(c59,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,status(thm),[c56,c4]) ).
cnf(c123,plain,
is_a_theorem(implies(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,status(thm),[c59,c21]) ).
cnf(c126,plain,
is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X212),X213),implies(X214,X213))),
inference(resolution,status(thm),[c123,c4]) ).
cnf(c252,plain,
( ~ is_a_theorem(implies(implies(not(implies(X218,X218)),X216),X219))
| is_a_theorem(implies(X217,X219)) ),
inference(resolution,status(thm),[c126,condensed_detachment]) ).
cnf(c257,plain,
is_a_theorem(implies(X223,implies(X224,X224))),
inference(resolution,status(thm),[c252,cn_2]) ).
cnf(c278,plain,
is_a_theorem(implies(implies(implies(X291,X291),X289),implies(X290,X289))),
inference(resolution,status(thm),[c257,c4]) ).
cnf(c356,plain,
( ~ is_a_theorem(implies(implies(X299,X299),X301))
| is_a_theorem(implies(X300,X301)) ),
inference(resolution,status(thm),[c278,condensed_detachment]) ).
cnf(c377,plain,
is_a_theorem(implies(X308,implies(X307,implies(X306,X306)))),
inference(resolution,status(thm),[c356,c278]) ).
cnf(c389,plain,
is_a_theorem(implies(implies(implies(X437,implies(X435,X435)),X434),implies(X436,X434))),
inference(resolution,status(thm),[c377,c4]) ).
cnf(c469,plain,
( ~ is_a_theorem(implies(implies(X475,implies(X473,X473)),X474))
| is_a_theorem(implies(X472,X474)) ),
inference(resolution,status(thm),[c389,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X112,X111),implies(X113,X111)),X110),implies(implies(X113,X112),X110))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1457,X1456),implies(X1455,X1456)),X1458))
| is_a_theorem(implies(implies(X1455,X1457),X1458)) ),
inference(resolution,status(thm),[c16,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,status(thm),[c12,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X264,X263)),implies(X264,X263)),implies(implies(not(X264),X264),X263))),
inference(resolution,status(thm),[c18,c12]) ).
cnf(c332,plain,
is_a_theorem(implies(X277,implies(implies(not(X278),X278),X278))),
inference(resolution,status(thm),[c28,c252]) ).
cnf(c335,plain,
is_a_theorem(implies(implies(implies(implies(not(X908),X908),X908),X907),implies(X909,X907))),
inference(resolution,status(thm),[c332,c4]) ).
cnf(c1207,plain,
is_a_theorem(implies(implies(X2182,implies(not(X2184),X2184)),implies(X2183,implies(X2182,X2184)))),
inference(resolution,status(thm),[c116,c335]) ).
cnf(c2261,plain,
is_a_theorem(implies(implies(not(X2516),X2517),implies(X2518,implies(implies(X2517,X2516),X2516)))),
inference(resolution,status(thm),[c1207,c116]) ).
cnf(c2815,plain,
is_a_theorem(implies(X2530,implies(X2532,implies(implies(implies(X2531,X2531),X2533),X2533)))),
inference(resolution,status(thm),[c2261,c469]) ).
cnf(c3014,plain,
is_a_theorem(implies(X2535,implies(implies(implies(X2534,X2534),X2536),X2536))),
inference(resolution,status(thm),[c2815,c0]) ).
cnf(c3037,plain,
is_a_theorem(implies(implies(implies(X2537,X2537),X2538),X2538)),
inference(resolution,status(thm),[c3014,c0]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(X165,X164),X162),implies(implies(implies(not(X165),X163),X164),X162))),
inference(resolution,status(thm),[c13,c4]) ).
cnf(c209,plain,
( ~ is_a_theorem(implies(implies(X3070,X3072),X3069))
| is_a_theorem(implies(implies(implies(not(X3070),X3071),X3072),X3069)) ),
inference(resolution,status(thm),[c20,condensed_detachment]) ).
cnf(c4126,plain,
is_a_theorem(implies(implies(implies(not(implies(X3237,X3237)),X3238),X3239),X3239)),
inference(resolution,status(thm),[c209,c3037]) ).
cnf(c4437,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3319,X3319)),X3318),X3317))
| is_a_theorem(X3317) ),
inference(resolution,status(thm),[c4126,condensed_detachment]) ).
cnf(c2263,plain,
( ~ is_a_theorem(implies(X4072,implies(not(X4071),X4071)))
| is_a_theorem(implies(X4073,implies(X4072,X4071))) ),
inference(resolution,status(thm),[c1207,condensed_detachment]) ).
cnf(c5708,plain,
is_a_theorem(implies(X4452,implies(implies(implies(X4455,implies(X4453,X4453)),X4454),X4454))),
inference(resolution,status(thm),[c2263,c389]) ).
cnf(c6810,plain,
is_a_theorem(implies(implies(implies(X4459,implies(X4460,X4460)),X4458),X4458)),
inference(resolution,status(thm),[c5708,c4437]) ).
cnf(c6858,plain,
( ~ is_a_theorem(implies(implies(X4504,implies(X4502,X4502)),X4503))
| is_a_theorem(X4503) ),
inference(resolution,status(thm),[c6810,condensed_detachment]) ).
cnf(c2820,plain,
is_a_theorem(implies(X2520,implies(X2519,implies(implies(X2521,X2520),X2520)))),
inference(resolution,status(thm),[c2261,c21]) ).
cnf(c5672,plain,
is_a_theorem(implies(X4182,implies(X4184,implies(implies(X4183,X4184),X4184)))),
inference(resolution,status(thm),[c2263,c2820]) ).
cnf(c5950,plain,
is_a_theorem(implies(X4186,implies(implies(X4185,X4186),X4186))),
inference(resolution,status(thm),[c5672,c4437]) ).
cnf(c5982,plain,
is_a_theorem(implies(implies(implies(implies(X4953,X4951),X4951),X4952),implies(X4951,X4952))),
inference(resolution,status(thm),[c5950,c4]) ).
cnf(c7733,plain,
is_a_theorem(implies(implies(X5143,implies(X5144,X5142)),implies(X5142,implies(X5143,X5142)))),
inference(resolution,status(thm),[c5982,c116]) ).
cnf(c7886,plain,
is_a_theorem(implies(X5145,implies(X5146,X5145))),
inference(resolution,status(thm),[c7733,c6858]) ).
cnf(c7920,plain,
is_a_theorem(implies(implies(implies(X5421,X5419),X5420),implies(X5419,X5420))),
inference(resolution,status(thm),[c7886,c4]) ).
cnf(c8731,plain,
( ~ is_a_theorem(implies(implies(X5545,X5546),X5544))
| is_a_theorem(implies(X5546,X5544)) ),
inference(resolution,status(thm),[c7920,condensed_detachment]) ).
cnf(c9202,plain,
is_a_theorem(implies(X5823,implies(X5822,implies(implies(X5823,X5821),X5821)))),
inference(resolution,status(thm),[c8731,c2261]) ).
cnf(c10206,plain,
is_a_theorem(implies(X5914,implies(X5915,implies(implies(X5915,X5916),X5916)))),
inference(resolution,status(thm),[c9202,c2263]) ).
cnf(c11000,plain,
is_a_theorem(implies(X5917,implies(implies(X5917,X5918),X5918))),
inference(resolution,status(thm),[c10206,c6858]) ).
cnf(c11060,plain,
( ~ is_a_theorem(X5935)
| is_a_theorem(implies(implies(X5935,X5936),X5936)) ),
inference(resolution,status(thm),[c11000,condensed_detachment]) ).
cnf(c11236,plain,
is_a_theorem(implies(implies(implies(X7524,implies(not(X7524),X7525)),X7526),X7526)),
inference(resolution,status(thm),[c11060,cn_3]) ).
cnf(c15144,plain,
( ~ is_a_theorem(implies(implies(X8531,implies(not(X8531),X8530)),X8532))
| is_a_theorem(X8532) ),
inference(resolution,status(thm),[c11236,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X281,X280)),implies(X281,X280)),implies(implies(X280,X279),implies(X281,X279)))),
inference(resolution,status(thm),[c18,cn_1]) ).
cnf(c347,plain,
( ~ is_a_theorem(implies(not(implies(X4508,X4506)),implies(X4508,X4506)))
| is_a_theorem(implies(implies(X4506,X4507),implies(X4508,X4507))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c11023,plain,
is_a_theorem(implies(implies(implies(implies(X12645,X12647),X12647),X12646),implies(X12645,X12646))),
inference(resolution,status(thm),[c10206,c347]) ).
cnf(c29563,plain,
is_a_theorem(implies(implies(X16149,implies(X16150,X16148)),implies(X16150,implies(X16149,X16148)))),
inference(resolution,status(thm),[c11023,c116]) ).
cnf(c38650,plain,
is_a_theorem(implies(not(X16160),implies(X16160,X16161))),
inference(resolution,status(thm),[c29563,c15144]) ).
cnf(c38728,plain,
$false,
inference(resolution,status(thm),[c38650,prove_cn_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL378-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 11:30:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 44.09/44.34 # Version: 1.3
% 44.09/44.34 # SZS status Unsatisfiable
% 44.09/44.34 # SZS output start CNFRefutation
% See solution above
% 44.09/44.34
% 44.09/44.34 # Initial clauses : 5
% 44.09/44.34 # Processed clauses : 860
% 44.09/44.34 # Factors computed : 0
% 44.09/44.34 # Resolvents computed: 38752
% 44.09/44.34 # Tautologies deleted: 1
% 44.09/44.34 # Forward subsumed : 4108
% 44.09/44.34 # Backward subsumed : 57
% 44.09/44.34 # -------- CPU Time ---------
% 44.09/44.34 # User time : 43.910 s
% 44.09/44.34 # System time : 0.061 s
% 44.09/44.34 # Total time : 43.971 s
%------------------------------------------------------------------------------