TSTP Solution File: GEO037-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 : Sat Jul 16 05:57:49 EDT 2022
% Result : Unsatisfiable 35.59s 35.78s
% Output : Refutation 35.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
input ).
cnf(symmetry,axiom,
( X11 != X12
| X12 = X11 ),
eq_axiom ).
cnf(identity_for_betweeness,axiom,
( ~ between(X14,X15,X14)
| X14 = X15 ),
input ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X17,X18,X16,X16)
| X17 = X18 ),
input ).
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X9,X6,X7,X10)
| ~ equidistant(X9,X6,X5,X8)
| equidistant(X7,X10,X5,X8) ),
input ).
cnf(segment_construction2,axiom,
equidistant(X27,extension(X26,X27,X25,X24),X25,X24),
input ).
cnf(c11,plain,
( ~ equidistant(X234,extension(X235,X234,X233,X236),X238,X237)
| equidistant(X238,X237,X233,X236) ),
inference(resolution,status(thm),[segment_construction2,transitivity_for_equidistance]) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X3,X4,X4,X3),
input ).
cnf(c7,plain,
( ~ equidistant(X50,X53,X51,X52)
| equidistant(X51,X52,X53,X50) ),
inference(resolution,status(thm),[transitivity_for_equidistance,reflexivity_for_equidistance]) ).
cnf(c20,plain,
equidistant(X67,X66,extension(X65,X64,X67,X66),X64),
inference(resolution,status(thm),[c7,segment_construction2]) ).
cnf(c28,plain,
equidistant(extension(X69,X70,X68,X71),X70,X71,X68),
inference(resolution,status(thm),[c20,c7]) ).
cnf(c32,plain,
equidistant(X76,X77,X78,extension(X75,X78,X77,X76)),
inference(resolution,status(thm),[c28,c7]) ).
cnf(c101,plain,
equidistant(X252,extension(X255,X252,extension(X251,X254,X253,X256),X254),X253,X256),
inference(resolution,status(thm),[c11,c32]) ).
cnf(c109,plain,
equidistant(X342,X343,extension(X346,X345,extension(X341,X344,X342,X343),X344),X345),
inference(resolution,status(thm),[c101,c7]) ).
cnf(c171,plain,
equidistant(extension(X1990,X1992,extension(X1993,X1989,X1991,extension(X1988,X1991,X1994,X1995)),X1989),X1992,X1994,X1995),
inference(resolution,status(thm),[c109,c11]) ).
cnf(c1444,plain,
extension(X2092,X2091,extension(X2088,X2086,X2089,extension(X2087,X2089,X2090,X2090)),X2086) = X2091,
inference(resolution,status(thm),[c171,identity_for_equidistance]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(segment_construction1,axiom,
between(X22,X23,extension(X22,X23,X21,X20)),
input ).
cnf(c6,plain,
( X502 != X501
| X504 != X500
| X503 != X499
| ~ between(X502,X504,X503)
| between(X501,X500,X499) ),
eq_axiom ).
cnf(c276,plain,
( X6358 != X6359
| X6355 != X6353
| extension(X6358,X6355,X6354,X6357) != X6356
| between(X6359,X6353,X6356) ),
inference(resolution,status(thm),[c6,segment_construction1]) ).
cnf(c8679,plain,
( X6369 != X6371
| X6370 != X6368
| between(X6371,X6368,X6370) ),
inference(resolution,status(thm),[c276,c1444]) ).
cnf(c8724,plain,
( X6372 != X6374
| between(X6374,X6373,X6373) ),
inference(resolution,status(thm),[c8679,reflexivity]) ).
cnf(c8757,plain,
between(X6376,X6375,X6375),
inference(resolution,status(thm),[c8724,c1444]) ).
cnf(inner_pasch1,axiom,
( ~ between(X60,X63,X61)
| ~ between(X59,X62,X61)
| between(X63,inner_pasch(X60,X63,X61,X62,X59),X59) ),
input ).
cnf(c8807,plain,
( ~ between(X8698,X8695,X8697)
| between(X8695,inner_pasch(X8698,X8695,X8697,X8697,X8696),X8696) ),
inference(resolution,status(thm),[c8757,inner_pasch1]) ).
cnf(c16141,plain,
between(X8701,inner_pasch(X8700,X8701,X8701,X8701,X8699),X8699),
inference(resolution,status(thm),[c8807,c8757]) ).
cnf(c16158,plain,
X8708 = inner_pasch(X8709,X8708,X8708,X8708,X8708),
inference(resolution,status(thm),[c16141,identity_for_betweeness]) ).
cnf(c16249,plain,
inner_pasch(X8712,X8711,X8711,X8711,X8711) = X8711,
inference(resolution,status(thm),[c16158,symmetry]) ).
cnf(c31,plain,
( ~ equidistant(extension(X739,X740,X741,X738),X740,X743,X742)
| equidistant(X743,X742,X738,X741) ),
inference(resolution,status(thm),[c28,transitivity_for_equidistance]) ).
cnf(c10,plain,
X28 = extension(X30,X28,X29,X29),
inference(resolution,status(thm),[segment_construction2,identity_for_equidistance]) ).
cnf(c19,plain,
equidistant(X55,X54,X55,X54),
inference(resolution,status(thm),[c7,reflexivity_for_equidistance]) ).
cnf(c5,plain,
( X470 != X469
| X472 != X467
| X471 != X465
| X468 != X466
| ~ equidistant(X470,X472,X471,X468)
| equidistant(X469,X467,X465,X466) ),
eq_axiom ).
cnf(c245,plain,
( X5594 != X5597
| X5599 != X5595
| X5594 != X5596
| X5599 != X5598
| equidistant(X5597,X5595,X5596,X5598) ),
inference(resolution,status(thm),[c5,c19]) ).
cnf(c6877,plain,
( X5743 != X5746
| X5745 != X5742
| X5743 != X5744
| equidistant(X5746,X5742,X5744,X5745) ),
inference(resolution,status(thm),[c245,reflexivity]) ).
cnf(c7037,plain,
( X5749 != X5748
| X5750 != X5747
| equidistant(X5748,X5747,X5749,X5750) ),
inference(resolution,status(thm),[c6877,reflexivity]) ).
cnf(c7077,plain,
( X5751 != X5753
| equidistant(X5753,X5752,X5751,X5752) ),
inference(resolution,status(thm),[c7037,reflexivity]) ).
cnf(c7112,plain,
equidistant(extension(X5767,X5769,X5766,X5766),X5768,X5769,X5768),
inference(resolution,status(thm),[c7077,c10]) ).
cnf(c7173,plain,
equidistant(X5771,X5771,X5770,X5770),
inference(resolution,status(thm),[c7112,c31]) ).
cnf(c7212,plain,
( ~ equidistant(X6048,X6048,X6045,X6047)
| equidistant(X6045,X6047,X6046,X6046) ),
inference(resolution,status(thm),[c7173,transitivity_for_equidistance]) ).
cnf(c23,plain,
( ~ equidistant(X91,X89,X88,X90)
| equidistant(X88,X90,X91,X89) ),
inference(resolution,status(thm),[c19,transitivity_for_equidistance]) ).
cnf(c42,plain,
equidistant(extension(X117,X119,X118,X116),X119,X118,X116),
inference(resolution,status(thm),[c23,c20]) ).
cnf(c65,plain,
( ~ equidistant(extension(X1242,X1243,X1241,X1244),X1243,X1246,X1245)
| equidistant(X1246,X1245,X1241,X1244) ),
inference(resolution,status(thm),[c42,transitivity_for_equidistance]) ).
cnf(prove_lengthen,negated_conjecture,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
input ).
cnf(c27,plain,
( ~ equidistant(X628,X627,X632,X631)
| equidistant(X632,X631,extension(X629,X630,X628,X627),X630) ),
inference(resolution,status(thm),[c20,transitivity_for_equidistance]) ).
cnf(c376,plain,
equidistant(extension(X664,X663,X662,X660),X663,extension(X661,X659,X662,X660),X659),
inference(resolution,status(thm),[c27,c20]) ).
cnf(c393,plain,
equidistant(extension(X736,X733,X732,X734),X733,X737,extension(X735,X737,X732,X734)),
inference(resolution,status(thm),[c376,c7]) ).
cnf(c508,plain,
equidistant(X868,extension(X866,X868,X871,X869),X870,extension(X867,X870,X871,X869)),
inference(resolution,status(thm),[c393,c7]) ).
cnf(c641,plain,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(resolution,status(thm),[c508,prove_lengthen]) ).
cnf(c28342,plain,
v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2),
inference(resolution,status(thm),[c641,segment_construction1]) ).
cnf(c28379,plain,
equidistant(extension(u,v,lower_dimension_point_1,lower_dimension_point_2),X14783,v,X14783),
inference(resolution,status(thm),[c28342,c7077]) ).
cnf(c29753,plain,
equidistant(v,v,lower_dimension_point_1,lower_dimension_point_2),
inference(resolution,status(thm),[c28379,c65]) ).
cnf(c29796,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,X14784,X14784),
inference(resolution,status(thm),[c29753,c7212]) ).
cnf(c29871,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference(resolution,status(thm),[c29796,identity_for_equidistance]) ).
cnf(c29949,plain,
lower_dimension_point_2 = lower_dimension_point_1,
inference(resolution,status(thm),[c29871,symmetry]) ).
cnf(c29984,plain,
( X14987 != X14988
| between(X14988,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolution,status(thm),[c29949,c8679]) ).
cnf(c31782,plain,
between(X14989,lower_dimension_point_1,lower_dimension_point_2),
inference(resolution,status(thm),[c29984,c16249]) ).
cnf(c31854,plain,
$false,
inference(resolution,status(thm),[c31782,lower_dimension3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n027.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 : Fri Jun 17 21:07:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 35.59/35.78 # Version: 1.3
% 35.59/35.78 # SZS status Unsatisfiable
% 35.59/35.78 # SZS output start CNFRefutation
% See solution above
% 35.59/35.78
% 35.59/35.78 # Initial clauses : 29
% 35.59/35.78 # Processed clauses : 800
% 35.59/35.78 # Factors computed : 24
% 35.59/35.78 # Resolvents computed: 31833
% 35.59/35.78 # Tautologies deleted: 1
% 35.59/35.78 # Forward subsumed : 1938
% 35.59/35.78 # Backward subsumed : 13
% 35.59/35.78 # -------- CPU Time ---------
% 35.59/35.78 # User time : 35.344 s
% 35.59/35.78 # System time : 0.084 s
% 35.59/35.78 # Total time : 35.428 s
%------------------------------------------------------------------------------