TSTP Solution File: SYN426+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN426+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : 300s
% DateTime : Fri Sep 1 03:07:05 EDT 2023
% Result : CounterSatisfiable 12.24s 2.79s
% Output : Model 12.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of c5_2
fof(lit_def,axiom,
! [X0,X1] :
( c5_2(X0,X1)
<=> ( ( X0 = a350
& X1 = a351 )
| ( X0 = a319
& X1 = a320 )
| ( X1 = a302
& X0 != a417
& X0 != a333 )
| ( X1 = a276
& X0 != a417
& X0 != a333 )
| ( X1 = a273
& X0 != a417
& X0 != a333 ) ) ) ).
%------ Positive definition of sP66
fof(lit_def_001,axiom,
( sP66
<=> $false ) ).
%------ Negative definition of c2_2
fof(lit_def_002,axiom,
! [X0,X1] :
( ~ c2_2(X0,X1)
<=> ( ( X0 = a397
& X1 = a398 )
| ( X0 = a374
& X1 = a375 )
| ( X0 = a414
& X1 != a347
& X1 != a273 )
| ( X0 = a401
& X1 != a347
& X1 != a273 )
| ( X0 = a333
& X1 != a365
& X1 != a260
& X1 != a254
& X1 != a347
& X1 != a343
& X1 != a275
& X1 != a273
& X1 != a267 )
| ( X0 = a333
& X1 = a334 )
| ( X0 = a333
& X1 = a294 )
| ( X0 = a333
& X1 = a267 )
| ( X0 = a319
& X1 = a321 )
| ( X0 = a295
& X1 = a296 )
| ( X1 = a367
& X0 != a259 )
| ( X1 = a311
& X0 != a259 )
| ( X1 = a297
& X0 != a259 )
| ( X1 = a279
& X0 != a259 )
| ( X1 = a232
& X0 != a259 )
| ( X1 = a361
& X0 != a259 )
| ( X1 = a354
& X0 != a259 )
| ( X1 = a294
& X0 != a259 ) ) ) ).
%------ Positive definition of c1_2
fof(lit_def_003,axiom,
! [X0,X1] :
( c1_2(X0,X1)
<=> ( ( X0 = a387
& X1 = a388 )
| ( X0 = a333
& X1 = a348 )
| ( X0 = a333
& X1 = a300 )
| ( X0 = a333
& X1 = a225 )
| ( X0 = a333
& X1 = a275 )
| ( X0 = a323
& X1 = a324 )
| ( X0 = a259
& X1 = a344 ) ) ) ).
%------ Positive definition of ndr1_1
fof(lit_def_004,axiom,
! [X0] :
( ndr1_1(X0)
<=> $true ) ).
%------ Negative definition of c8_1
fof(lit_def_005,axiom,
! [X0] :
( ~ c8_1(X0)
<=> ( X0 = a397
| X0 = a387
| X0 = a350
| X0 = a330
| X0 = a319 ) ) ).
%------ Positive definition of c2_1
fof(lit_def_006,axiom,
! [X0] :
( c2_1(X0)
<=> ( X0 = a417
| X0 = a374 ) ) ).
%------ Positive definition of ndr1_0
fof(lit_def_007,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of c6_1
fof(lit_def_008,axiom,
! [X0] :
( c6_1(X0)
<=> X0 = a327 ) ).
%------ Positive definition of sP65
fof(lit_def_009,axiom,
( sP65
<=> $true ) ).
%------ Positive definition of c5_1
fof(lit_def_010,axiom,
! [X0] :
( c5_1(X0)
<=> ( X0 = a417
| X0 = a295
| X0 = a269 ) ) ).
%------ Positive definition of c10_1
fof(lit_def_011,axiom,
! [X0] :
( c10_1(X0)
<=> ( X0 = a423
| X0 = a374
| X0 = a427
| X0 = a414
| X0 = a327 ) ) ).
%------ Positive definition of c6_2
fof(lit_def_012,axiom,
! [X0,X1] :
( c6_2(X0,X1)
<=> ( ( X0 = a387
& X1 = a388 )
| ( X0 = a355
& X1 = a331 )
| ( X0 = a219
& X1 = a221 )
| ( X0 = a333
& X1 = a365 )
| ( X0 = a333
& X1 = a260 )
| ( X0 = a333
& X1 = a254 )
| ( X0 = a333
& X1 = a275 )
| ( X0 = a319
& X1 = a320 )
| ( X0 = a259
& X1 = a344 )
| ( X1 = a331
& X0 != a417
& X0 != a355 )
| ( X1 = a273
& X0 != a417
& X0 != a355 ) ) ) ).
%------ Positive definition of sP64
fof(lit_def_013,axiom,
( sP64
<=> $false ) ).
%------ Positive definition of c7_1
fof(lit_def_014,axiom,
! [X0] :
( c7_1(X0)
<=> ( X0 = a333
| X0 = a323 ) ) ).
%------ Negative definition of c8_2
fof(lit_def_015,axiom,
! [X0,X1] :
( ~ c8_2(X0,X1)
<=> ( ( X0 = a374
& X1 = a375 )
| ( X0 = a333
& X1 != a232
& X1 != a347
& X1 != a331
& X1 != a275
& X1 != a263 )
| ( X0 = a295
& X1 = a296 )
| X1 = a378
| X1 = a302
| X1 = a279
| X1 = a361
| X1 = a303
| X1 = a294 ) ) ).
%------ Positive definition of sP63
fof(lit_def_016,axiom,
( sP63
<=> $false ) ).
%------ Positive definition of c1_1
fof(lit_def_017,axiom,
! [X0] :
( c1_1(X0)
<=> X0 = a295 ) ).
%------ Positive definition of sP62
fof(lit_def_018,axiom,
( sP62
<=> $true ) ).
%------ Positive definition of c3_1
fof(lit_def_019,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = a417
| X0 = a355
| X0 = a335
| X0 = a339
| X0 = a265 ) ) ).
%------ Positive definition of c4_2
fof(lit_def_020,axiom,
! [X0,X1] :
( c4_2(X0,X1)
<=> ( ( X0 = a397
& X1 = a398 )
| ( X0 = a333
& X1 = a353 )
| ( X0 = a333
& X1 = a275 )
| ( X0 = a323
& X1 = a353 )
| ( X0 = a319
& X1 = a320 )
| ( X0 = a265
& X1 = a266 )
| X1 = a232
| X1 = a405
| X1 = a322 ) ) ).
%------ Positive definition of sP61
fof(lit_def_021,axiom,
( sP61
<=> $false ) ).
%------ Positive definition of c10_2
fof(lit_def_022,axiom,
! [X0,X1] :
( c10_2(X0,X1)
<=> ( ( X0 = a397
& X1 = a398 )
| ( X0 = a374
& X1 = a375 )
| ( X0 = a333
& X1 = a334 )
| ( X0 = a333
& X1 = a294 )
| ( X0 = a295
& X1 = a296 ) ) ) ).
%------ Positive definition of c9_2
fof(lit_def_023,axiom,
! [X0,X1] :
( c9_2(X0,X1)
<=> ( ( X0 = a427
& X1 = a428 )
| ( X0 = a414
& X1 = a361 )
| ( X0 = a333
& X1 = a294 )
| ( X0 = a323
& X1 = a294 )
| ( X1 = a302
& X0 != a387
& X0 != a333
& X0 != a269 ) ) ) ).
%------ Positive definition of sP60
fof(lit_def_024,axiom,
( sP60
<=> $false ) ).
%------ Positive definition of c3_2
fof(lit_def_025,axiom,
! [X0,X1] :
( c3_2(X0,X1)
<=> ( ( X0 = a374
& X1 = a375 )
| ( X0 = a333
& X1 != a393
& X1 != a365
& X1 != a348
& X1 != a302
& X1 != a300
& X1 != a260
& X1 != a254
& X1 != a225
& X1 != a402
& X1 != a347
& X1 != a343
& X1 != a294
& X1 != a267 )
| ( X0 = a333
& X1 = a393 )
| ( X0 = a333
& X1 = a402 )
| ( X0 = a333
& X1 = a267 )
| ( X0 = a295
& X1 = a296 ) ) ) ).
%------ Positive definition of sP59
fof(lit_def_026,axiom,
( sP59
<=> $false ) ).
%------ Positive definition of sP58
fof(lit_def_027,axiom,
( sP58
<=> $false ) ).
%------ Positive definition of c7_2
fof(lit_def_028,axiom,
! [X0,X1] :
( c7_2(X0,X1)
<=> ( ( X0 = a417
& X1 = a275 )
| ( X0 = a387
& X1 = a388 )
| ( X0 = a350
& X1 = a352 )
| ( X0 = a219
& X1 = a221 )
| ( X0 = a333
& X1 = a275 )
| ( X0 = a265
& X1 = a266 ) ) ) ).
%------ Positive definition of c9_1
fof(lit_def_029,axiom,
! [X0] :
( c9_1(X0)
<=> X0 = a414 ) ).
%------ Negative definition of c4_1
fof(lit_def_030,axiom,
! [X0] :
( ~ c4_1(X0)
<=> X0 = a259 ) ).
%------ Positive definition of sP57
fof(lit_def_031,axiom,
( sP57
<=> $false ) ).
%------ Positive definition of sP56
fof(lit_def_032,axiom,
( sP56
<=> $true ) ).
%------ Positive definition of sP55
fof(lit_def_033,axiom,
( sP55
<=> $false ) ).
%------ Positive definition of sP54
fof(lit_def_034,axiom,
( sP54
<=> $true ) ).
%------ Positive definition of sP53
fof(lit_def_035,axiom,
( sP53
<=> $false ) ).
%------ Positive definition of sP52
fof(lit_def_036,axiom,
( sP52
<=> $true ) ).
%------ Positive definition of sP51
fof(lit_def_037,axiom,
! [X0] :
( sP51(X0)
<=> $false ) ).
%------ Positive definition of sP50
fof(lit_def_038,axiom,
( sP50
<=> $true ) ).
%------ Positive definition of sP49
fof(lit_def_039,axiom,
( sP49
<=> $false ) ).
%------ Positive definition of sP48
fof(lit_def_040,axiom,
( sP48
<=> $false ) ).
%------ Positive definition of sP47
fof(lit_def_041,axiom,
! [X0] :
( sP47(X0)
<=> $false ) ).
%------ Positive definition of sP46
fof(lit_def_042,axiom,
( sP46
<=> $false ) ).
%------ Positive definition of sP45
fof(lit_def_043,axiom,
( sP45
<=> $true ) ).
%------ Positive definition of sP44
fof(lit_def_044,axiom,
( sP44
<=> $false ) ).
%------ Positive definition of sP43
fof(lit_def_045,axiom,
! [X0] :
( sP43(X0)
<=> $false ) ).
%------ Positive definition of sP42
fof(lit_def_046,axiom,
! [X0] :
( sP42(X0)
<=> $false ) ).
%------ Positive definition of sP41
fof(lit_def_047,axiom,
( sP41
<=> $false ) ).
%------ Positive definition of sP40
fof(lit_def_048,axiom,
( sP40
<=> $false ) ).
%------ Positive definition of sP39
fof(lit_def_049,axiom,
( sP39
<=> $true ) ).
%------ Positive definition of sP38
fof(lit_def_050,axiom,
( sP38
<=> $true ) ).
%------ Positive definition of sP37
fof(lit_def_051,axiom,
! [X0] :
( sP37(X0)
<=> $false ) ).
%------ Positive definition of sP36
fof(lit_def_052,axiom,
( sP36
<=> $true ) ).
%------ Positive definition of sP35
fof(lit_def_053,axiom,
( sP35
<=> $false ) ).
%------ Positive definition of sP34
fof(lit_def_054,axiom,
( sP34
<=> $true ) ).
%------ Positive definition of sP33
fof(lit_def_055,axiom,
( sP33
<=> $false ) ).
%------ Positive definition of sP32
fof(lit_def_056,axiom,
( sP32
<=> $true ) ).
%------ Positive definition of sP31
fof(lit_def_057,axiom,
( sP31
<=> $false ) ).
%------ Positive definition of sP30
fof(lit_def_058,axiom,
( sP30
<=> $false ) ).
%------ Positive definition of sP29
fof(lit_def_059,axiom,
! [X0] :
( sP29(X0)
<=> $false ) ).
%------ Positive definition of sP26
fof(lit_def_060,axiom,
! [X0] :
( sP26(X0)
<=> $false ) ).
%------ Positive definition of sP28
fof(lit_def_061,axiom,
( sP28
<=> $true ) ).
%------ Positive definition of sP27
fof(lit_def_062,axiom,
! [X0] :
( sP27(X0)
<=> $false ) ).
%------ Positive definition of sP23
fof(lit_def_063,axiom,
! [X0] :
( sP23(X0)
<=> $false ) ).
%------ Positive definition of sP25
fof(lit_def_064,axiom,
( sP25
<=> $true ) ).
%------ Positive definition of sP24
fof(lit_def_065,axiom,
! [X0] :
( sP24(X0)
<=> $false ) ).
%------ Positive definition of sP22
fof(lit_def_066,axiom,
( sP22
<=> $true ) ).
%------ Positive definition of sP21
fof(lit_def_067,axiom,
! [X0] :
( sP21(X0)
<=> $false ) ).
%------ Positive definition of sP20
fof(lit_def_068,axiom,
( sP20
<=> $false ) ).
%------ Positive definition of sP19
fof(lit_def_069,axiom,
! [X0] :
( sP19(X0)
<=> $false ) ).
%------ Positive definition of sP15
fof(lit_def_070,axiom,
! [X0] :
( sP15(X0)
<=> $false ) ).
%------ Positive definition of sP17
fof(lit_def_071,axiom,
( sP17
<=> $false ) ).
%------ Positive definition of sP16
fof(lit_def_072,axiom,
! [X0] :
( sP16(X0)
<=> $false ) ).
%------ Positive definition of sP14
fof(lit_def_073,axiom,
( sP14
<=> $false ) ).
%------ Negative definition of sP13
fof(lit_def_074,axiom,
! [X0] :
( ~ sP13(X0)
<=> ( X0 = a417
| X0 = a333 ) ) ).
%------ Positive definition of sP12
fof(lit_def_075,axiom,
( sP12
<=> $true ) ).
%------ Positive definition of sP11
fof(lit_def_076,axiom,
! [X0] :
( sP11(X0)
<=> $false ) ).
%------ Positive definition of sP10
fof(lit_def_077,axiom,
( sP10
<=> $false ) ).
%------ Positive definition of sP9
fof(lit_def_078,axiom,
! [X0] :
( sP9(X0)
<=> $false ) ).
%------ Positive definition of sP8
fof(lit_def_079,axiom,
! [X0] :
( sP8(X0)
<=> $false ) ).
%------ Positive definition of sP6
fof(lit_def_080,axiom,
( sP6
<=> $false ) ).
%------ Positive definition of sP5
fof(lit_def_081,axiom,
! [X0] :
( sP5(X0)
<=> $false ) ).
%------ Positive definition of sP4
fof(lit_def_082,axiom,
! [X0] :
( sP4(X0)
<=> $false ) ).
%------ Positive definition of sP3
fof(lit_def_083,axiom,
( sP3
<=> $false ) ).
%------ Positive definition of sP1
fof(lit_def_084,axiom,
! [X0] :
( sP1(X0)
<=> $false ) ).
%------ Positive definition of sP2
fof(lit_def_085,axiom,
( sP2
<=> $false ) ).
%------ Positive definition of c9_0
fof(lit_def_086,axiom,
( c9_0
<=> $true ) ).
%------ Positive definition of c8_0
fof(lit_def_087,axiom,
( c8_0
<=> $false ) ).
%------ Positive definition of c7_0
fof(lit_def_088,axiom,
( c7_0
<=> $true ) ).
%------ Positive definition of c6_0
fof(lit_def_089,axiom,
( c6_0
<=> $false ) ).
%------ Positive definition of c4_0
fof(lit_def_090,axiom,
( c4_0
<=> $true ) ).
%------ Positive definition of c3_0
fof(lit_def_091,axiom,
( c3_0
<=> $true ) ).
%------ Positive definition of c2_0
fof(lit_def_092,axiom,
( c2_0
<=> $true ) ).
%------ Positive definition of c10_0
fof(lit_def_093,axiom,
( c10_0
<=> $true ) ).
%------ Positive definition of c1_0
fof(lit_def_094,axiom,
( c1_0
<=> $true ) ).
%------ Positive definition of sP0_iProver_split
fof(lit_def_095,axiom,
( sP0_iProver_split
<=> $true ) ).
%------ Positive definition of sP1_iProver_split
fof(lit_def_096,axiom,
( sP1_iProver_split
<=> $false ) ).
%------ Positive definition of sP2_iProver_split
fof(lit_def_097,axiom,
( sP2_iProver_split
<=> $false ) ).
%------ Positive definition of sP3_iProver_split
fof(lit_def_098,axiom,
( sP3_iProver_split
<=> $false ) ).
%------ Positive definition of sP4_iProver_split
fof(lit_def_099,axiom,
( sP4_iProver_split
<=> $false ) ).
%------ Positive definition of sP5_iProver_split
fof(lit_def_100,axiom,
( sP5_iProver_split
<=> $false ) ).
%------ Positive definition of sP6_iProver_split
fof(lit_def_101,axiom,
( sP6_iProver_split
<=> $true ) ).
%------ Positive definition of sP7_iProver_split
fof(lit_def_102,axiom,
( sP7_iProver_split
<=> $false ) ).
%------ Positive definition of sP8_iProver_split
fof(lit_def_103,axiom,
( sP8_iProver_split
<=> $true ) ).
%------ Positive definition of sP9_iProver_split
fof(lit_def_104,axiom,
( sP9_iProver_split
<=> $false ) ).
%------ Positive definition of sP10_iProver_split
fof(lit_def_105,axiom,
( sP10_iProver_split
<=> $false ) ).
%------ Positive definition of sP11_iProver_split
fof(lit_def_106,axiom,
( sP11_iProver_split
<=> $true ) ).
%------ Positive definition of sP12_iProver_split
fof(lit_def_107,axiom,
( sP12_iProver_split
<=> $false ) ).
%------ Positive definition of sP13_iProver_split
fof(lit_def_108,axiom,
( sP13_iProver_split
<=> $false ) ).
%------ Positive definition of sP14_iProver_split
fof(lit_def_109,axiom,
( sP14_iProver_split
<=> $true ) ).
%------ Positive definition of sP15_iProver_split
fof(lit_def_110,axiom,
( sP15_iProver_split
<=> $false ) ).
%------ Positive definition of sP16_iProver_split
fof(lit_def_111,axiom,
( sP16_iProver_split
<=> $true ) ).
%------ Positive definition of sP17_iProver_split
fof(lit_def_112,axiom,
( sP17_iProver_split
<=> $true ) ).
%------ Positive definition of sP18_iProver_split
fof(lit_def_113,axiom,
( sP18_iProver_split
<=> $true ) ).
%------ Positive definition of sP19_iProver_split
fof(lit_def_114,axiom,
( sP19_iProver_split
<=> $false ) ).
%------ Positive definition of sP20_iProver_split
fof(lit_def_115,axiom,
( sP20_iProver_split
<=> $false ) ).
%------ Positive definition of sP21_iProver_split
fof(lit_def_116,axiom,
( sP21_iProver_split
<=> $false ) ).
%------ Positive definition of sP22_iProver_split
fof(lit_def_117,axiom,
( sP22_iProver_split
<=> $false ) ).
%------ Positive definition of sP23_iProver_split
fof(lit_def_118,axiom,
( sP23_iProver_split
<=> $false ) ).
%------ Positive definition of sP24_iProver_split
fof(lit_def_119,axiom,
( sP24_iProver_split
<=> $false ) ).
%------ Positive definition of sP25_iProver_split
fof(lit_def_120,axiom,
( sP25_iProver_split
<=> $true ) ).
%------ Positive definition of sP26_iProver_split
fof(lit_def_121,axiom,
( sP26_iProver_split
<=> $true ) ).
%------ Positive definition of sP27_iProver_split
fof(lit_def_122,axiom,
( sP27_iProver_split
<=> $false ) ).
%------ Positive definition of sP28_iProver_split
fof(lit_def_123,axiom,
( sP28_iProver_split
<=> $true ) ).
%------ Positive definition of sP29_iProver_split
fof(lit_def_124,axiom,
( sP29_iProver_split
<=> $false ) ).
%------ Positive definition of sP30_iProver_split
fof(lit_def_125,axiom,
( sP30_iProver_split
<=> $false ) ).
%------ Positive definition of sP31_iProver_split
fof(lit_def_126,axiom,
( sP31_iProver_split
<=> $true ) ).
%------ Positive definition of sP32_iProver_split
fof(lit_def_127,axiom,
( sP32_iProver_split
<=> $false ) ).
%------ Positive definition of sP33_iProver_split
fof(lit_def_128,axiom,
( sP33_iProver_split
<=> $true ) ).
%------ Positive definition of sP34_iProver_split
fof(lit_def_129,axiom,
( sP34_iProver_split
<=> $false ) ).
%------ Positive definition of sP35_iProver_split
fof(lit_def_130,axiom,
( sP35_iProver_split
<=> $false ) ).
%------ Positive definition of sP36_iProver_split
fof(lit_def_131,axiom,
( sP36_iProver_split
<=> $true ) ).
%------ Positive definition of sP37_iProver_split
fof(lit_def_132,axiom,
( sP37_iProver_split
<=> $true ) ).
%------ Positive definition of sP38_iProver_split
fof(lit_def_133,axiom,
( sP38_iProver_split
<=> $false ) ).
%------ Positive definition of sP39_iProver_split
fof(lit_def_134,axiom,
( sP39_iProver_split
<=> $false ) ).
%------ Positive definition of sP40_iProver_split
fof(lit_def_135,axiom,
( sP40_iProver_split
<=> $true ) ).
%------ Positive definition of sP41_iProver_split
fof(lit_def_136,axiom,
( sP41_iProver_split
<=> $true ) ).
%------ Positive definition of sP42_iProver_split
fof(lit_def_137,axiom,
( sP42_iProver_split
<=> $false ) ).
%------ Positive definition of sP43_iProver_split
fof(lit_def_138,axiom,
( sP43_iProver_split
<=> $false ) ).
%------ Positive definition of sP44_iProver_split
fof(lit_def_139,axiom,
( sP44_iProver_split
<=> $false ) ).
%------ Positive definition of sP45_iProver_split
fof(lit_def_140,axiom,
( sP45_iProver_split
<=> $false ) ).
%------ Positive definition of sP46_iProver_split
fof(lit_def_141,axiom,
( sP46_iProver_split
<=> $false ) ).
%------ Positive definition of sP47_iProver_split
fof(lit_def_142,axiom,
( sP47_iProver_split
<=> $true ) ).
%------ Positive definition of sP48_iProver_split
fof(lit_def_143,axiom,
( sP48_iProver_split
<=> $false ) ).
%------ Positive definition of sP49_iProver_split
fof(lit_def_144,axiom,
( sP49_iProver_split
<=> $false ) ).
%------ Positive definition of sP50_iProver_split
fof(lit_def_145,axiom,
( sP50_iProver_split
<=> $true ) ).
%------ Positive definition of sP51_iProver_split
fof(lit_def_146,axiom,
( sP51_iProver_split
<=> $false ) ).
%------ Positive definition of sP52_iProver_split
fof(lit_def_147,axiom,
( sP52_iProver_split
<=> $false ) ).
%------ Positive definition of sP53_iProver_split
fof(lit_def_148,axiom,
( sP53_iProver_split
<=> $false ) ).
%------ Positive definition of sP54_iProver_split
fof(lit_def_149,axiom,
( sP54_iProver_split
<=> $false ) ).
%------ Positive definition of sP55_iProver_split
fof(lit_def_150,axiom,
( sP55_iProver_split
<=> $true ) ).
%------ Positive definition of sP56_iProver_split
fof(lit_def_151,axiom,
( sP56_iProver_split
<=> $true ) ).
%------ Positive definition of sP57_iProver_split
fof(lit_def_152,axiom,
( sP57_iProver_split
<=> $false ) ).
%------ Positive definition of sP58_iProver_split
fof(lit_def_153,axiom,
( sP58_iProver_split
<=> $false ) ).
%------ Positive definition of sP59_iProver_split
fof(lit_def_154,axiom,
( sP59_iProver_split
<=> $false ) ).
%------ Positive definition of sP60_iProver_split
fof(lit_def_155,axiom,
( sP60_iProver_split
<=> $true ) ).
%------ Positive definition of sP61_iProver_split
fof(lit_def_156,axiom,
( sP61_iProver_split
<=> $true ) ).
%------ Positive definition of sP62_iProver_split
fof(lit_def_157,axiom,
( sP62_iProver_split
<=> $true ) ).
%------ Positive definition of sP63_iProver_split
fof(lit_def_158,axiom,
( sP63_iProver_split
<=> $true ) ).
%------ Positive definition of sP64_iProver_split
fof(lit_def_159,axiom,
( sP64_iProver_split
<=> $true ) ).
%------ Positive definition of sP65_iProver_split
fof(lit_def_160,axiom,
( sP65_iProver_split
<=> $false ) ).
%------ Positive definition of sP66_iProver_split
fof(lit_def_161,axiom,
( sP66_iProver_split
<=> $false ) ).
%------ Positive definition of sP67_iProver_split
fof(lit_def_162,axiom,
( sP67_iProver_split
<=> $false ) ).
%------ Positive definition of sP68_iProver_split
fof(lit_def_163,axiom,
( sP68_iProver_split
<=> $false ) ).
%------ Positive definition of sP69_iProver_split
fof(lit_def_164,axiom,
( sP69_iProver_split
<=> $false ) ).
%------ Positive definition of sP70_iProver_split
fof(lit_def_165,axiom,
( sP70_iProver_split
<=> $false ) ).
%------ Positive definition of sP71_iProver_split
fof(lit_def_166,axiom,
( sP71_iProver_split
<=> $true ) ).
%------ Positive definition of sP72_iProver_split
fof(lit_def_167,axiom,
( sP72_iProver_split
<=> $false ) ).
%------ Positive definition of sP73_iProver_split
fof(lit_def_168,axiom,
( sP73_iProver_split
<=> $false ) ).
%------ Positive definition of sP74_iProver_split
fof(lit_def_169,axiom,
( sP74_iProver_split
<=> $false ) ).
%------ Positive definition of sP75_iProver_split
fof(lit_def_170,axiom,
( sP75_iProver_split
<=> $true ) ).
%------ Positive definition of sP76_iProver_split
fof(lit_def_171,axiom,
( sP76_iProver_split
<=> $false ) ).
%------ Positive definition of sP77_iProver_split
fof(lit_def_172,axiom,
( sP77_iProver_split
<=> $true ) ).
%------ Positive definition of sP78_iProver_split
fof(lit_def_173,axiom,
( sP78_iProver_split
<=> $true ) ).
%------ Positive definition of sP79_iProver_split
fof(lit_def_174,axiom,
( sP79_iProver_split
<=> $true ) ).
%------ Positive definition of sP80_iProver_split
fof(lit_def_175,axiom,
( sP80_iProver_split
<=> $false ) ).
%------ Positive definition of sP81_iProver_split
fof(lit_def_176,axiom,
( sP81_iProver_split
<=> $false ) ).
%------ Positive definition of sP82_iProver_split
fof(lit_def_177,axiom,
( sP82_iProver_split
<=> $false ) ).
%------ Positive definition of sP83_iProver_split
fof(lit_def_178,axiom,
( sP83_iProver_split
<=> $false ) ).
%------ Positive definition of sP84_iProver_split
fof(lit_def_179,axiom,
( sP84_iProver_split
<=> $false ) ).
%------ Positive definition of sP85_iProver_split
fof(lit_def_180,axiom,
( sP85_iProver_split
<=> $false ) ).
%------ Positive definition of sP86_iProver_split
fof(lit_def_181,axiom,
( sP86_iProver_split
<=> $false ) ).
%------ Positive definition of sP87_iProver_split
fof(lit_def_182,axiom,
( sP87_iProver_split
<=> $false ) ).
%------ Positive definition of sP88_iProver_split
fof(lit_def_183,axiom,
( sP88_iProver_split
<=> $false ) ).
%------ Positive definition of sP89_iProver_split
fof(lit_def_184,axiom,
( sP89_iProver_split
<=> $false ) ).
%------ Positive definition of sP90_iProver_split
fof(lit_def_185,axiom,
( sP90_iProver_split
<=> $false ) ).
%------ Positive definition of sP91_iProver_split
fof(lit_def_186,axiom,
( sP91_iProver_split
<=> $true ) ).
%------ Positive definition of sP92_iProver_split
fof(lit_def_187,axiom,
( sP92_iProver_split
<=> $false ) ).
%------ Positive definition of sP93_iProver_split
fof(lit_def_188,axiom,
( sP93_iProver_split
<=> $false ) ).
%------ Positive definition of sP94_iProver_split
fof(lit_def_189,axiom,
( sP94_iProver_split
<=> $false ) ).
%------ Positive definition of sP95_iProver_split
fof(lit_def_190,axiom,
( sP95_iProver_split
<=> $true ) ).
%------ Positive definition of sP96_iProver_split
fof(lit_def_191,axiom,
( sP96_iProver_split
<=> $true ) ).
%------ Positive definition of sP97_iProver_split
fof(lit_def_192,axiom,
( sP97_iProver_split
<=> $false ) ).
%------ Positive definition of sP98_iProver_split
fof(lit_def_193,axiom,
( sP98_iProver_split
<=> $true ) ).
%------ Positive definition of sP99_iProver_split
fof(lit_def_194,axiom,
( sP99_iProver_split
<=> $true ) ).
%------ Positive definition of sP100_iProver_split
fof(lit_def_195,axiom,
( sP100_iProver_split
<=> $false ) ).
%------ Positive definition of sP101_iProver_split
fof(lit_def_196,axiom,
( sP101_iProver_split
<=> $true ) ).
%------ Positive definition of sP102_iProver_split
fof(lit_def_197,axiom,
( sP102_iProver_split
<=> $false ) ).
%------ Positive definition of sP103_iProver_split
fof(lit_def_198,axiom,
( sP103_iProver_split
<=> $false ) ).
%------ Positive definition of sP104_iProver_split
fof(lit_def_199,axiom,
( sP104_iProver_split
<=> $true ) ).
%------ Positive definition of sP105_iProver_split
fof(lit_def_200,axiom,
( sP105_iProver_split
<=> $false ) ).
%------ Positive definition of sP106_iProver_split
fof(lit_def_201,axiom,
( sP106_iProver_split
<=> $false ) ).
%------ Positive definition of sP107_iProver_split
fof(lit_def_202,axiom,
( sP107_iProver_split
<=> $false ) ).
%------ Positive definition of sP108_iProver_split
fof(lit_def_203,axiom,
( sP108_iProver_split
<=> $false ) ).
%------ Positive definition of sP109_iProver_split
fof(lit_def_204,axiom,
( sP109_iProver_split
<=> $true ) ).
%------ Positive definition of sP110_iProver_split
fof(lit_def_205,axiom,
( sP110_iProver_split
<=> $true ) ).
%------ Positive definition of sP111_iProver_split
fof(lit_def_206,axiom,
( sP111_iProver_split
<=> $true ) ).
%------ Positive definition of sP112_iProver_split
fof(lit_def_207,axiom,
( sP112_iProver_split
<=> $true ) ).
%------ Positive definition of sP113_iProver_split
fof(lit_def_208,axiom,
( sP113_iProver_split
<=> $true ) ).
%------ Positive definition of sP114_iProver_split
fof(lit_def_209,axiom,
( sP114_iProver_split
<=> $false ) ).
%------ Positive definition of sP115_iProver_split
fof(lit_def_210,axiom,
( sP115_iProver_split
<=> $false ) ).
%------ Positive definition of sP116_iProver_split
fof(lit_def_211,axiom,
( sP116_iProver_split
<=> $true ) ).
%------ Positive definition of sP117_iProver_split
fof(lit_def_212,axiom,
( sP117_iProver_split
<=> $true ) ).
%------ Positive definition of sP118_iProver_split
fof(lit_def_213,axiom,
( sP118_iProver_split
<=> $false ) ).
%------ Positive definition of sP119_iProver_split
fof(lit_def_214,axiom,
( sP119_iProver_split
<=> $false ) ).
%------ Positive definition of sP120_iProver_split
fof(lit_def_215,axiom,
( sP120_iProver_split
<=> $false ) ).
%------ Positive definition of sP121_iProver_split
fof(lit_def_216,axiom,
( sP121_iProver_split
<=> $false ) ).
%------ Positive definition of sP122_iProver_split
fof(lit_def_217,axiom,
( sP122_iProver_split
<=> $false ) ).
%------ Positive definition of sP123_iProver_split
fof(lit_def_218,axiom,
( sP123_iProver_split
<=> $false ) ).
%------ Positive definition of sP124_iProver_split
fof(lit_def_219,axiom,
( sP124_iProver_split
<=> $true ) ).
%------ Positive definition of sP125_iProver_split
fof(lit_def_220,axiom,
( sP125_iProver_split
<=> $false ) ).
%------ Positive definition of sP126_iProver_split
fof(lit_def_221,axiom,
( sP126_iProver_split
<=> $true ) ).
%------ Positive definition of sP127_iProver_split
fof(lit_def_222,axiom,
( sP127_iProver_split
<=> $false ) ).
%------ Positive definition of sP128_iProver_split
fof(lit_def_223,axiom,
( sP128_iProver_split
<=> $false ) ).
%------ Positive definition of sP129_iProver_split
fof(lit_def_224,axiom,
( sP129_iProver_split
<=> $true ) ).
%------ Positive definition of sP130_iProver_split
fof(lit_def_225,axiom,
( sP130_iProver_split
<=> $true ) ).
%------ Positive definition of sP131_iProver_split
fof(lit_def_226,axiom,
( sP131_iProver_split
<=> $false ) ).
%------ Positive definition of sP132_iProver_split
fof(lit_def_227,axiom,
( sP132_iProver_split
<=> $false ) ).
%------ Positive definition of sP133_iProver_split
fof(lit_def_228,axiom,
( sP133_iProver_split
<=> $false ) ).
%------ Positive definition of sP134_iProver_split
fof(lit_def_229,axiom,
( sP134_iProver_split
<=> $false ) ).
%------ Positive definition of sP135_iProver_split
fof(lit_def_230,axiom,
( sP135_iProver_split
<=> $false ) ).
%------ Positive definition of sP136_iProver_split
fof(lit_def_231,axiom,
( sP136_iProver_split
<=> $false ) ).
%------ Positive definition of sP137_iProver_split
fof(lit_def_232,axiom,
( sP137_iProver_split
<=> $true ) ).
%------ Positive definition of sP138_iProver_split
fof(lit_def_233,axiom,
( sP138_iProver_split
<=> $false ) ).
%------ Positive definition of sP139_iProver_split
fof(lit_def_234,axiom,
( sP139_iProver_split
<=> $false ) ).
%------ Positive definition of sP140_iProver_split
fof(lit_def_235,axiom,
( sP140_iProver_split
<=> $true ) ).
%------ Positive definition of sP141_iProver_split
fof(lit_def_236,axiom,
( sP141_iProver_split
<=> $true ) ).
%------ Positive definition of sP142_iProver_split
fof(lit_def_237,axiom,
( sP142_iProver_split
<=> $true ) ).
%------ Positive definition of sP143_iProver_split
fof(lit_def_238,axiom,
( sP143_iProver_split
<=> $true ) ).
%------ Positive definition of sP144_iProver_split
fof(lit_def_239,axiom,
( sP144_iProver_split
<=> $false ) ).
%------ Positive definition of sP145_iProver_split
fof(lit_def_240,axiom,
( sP145_iProver_split
<=> $false ) ).
%------ Positive definition of sP146_iProver_split
fof(lit_def_241,axiom,
( sP146_iProver_split
<=> $true ) ).
%------ Positive definition of sP147_iProver_split
fof(lit_def_242,axiom,
( sP147_iProver_split
<=> $false ) ).
%------ Positive definition of sP148_iProver_split
fof(lit_def_243,axiom,
( sP148_iProver_split
<=> $false ) ).
%------ Positive definition of sP149_iProver_split
fof(lit_def_244,axiom,
( sP149_iProver_split
<=> $false ) ).
%------ Positive definition of sP150_iProver_split
fof(lit_def_245,axiom,
( sP150_iProver_split
<=> $false ) ).
%------ Positive definition of sP151_iProver_split
fof(lit_def_246,axiom,
( sP151_iProver_split
<=> $false ) ).
%------ Positive definition of sP152_iProver_split
fof(lit_def_247,axiom,
( sP152_iProver_split
<=> $false ) ).
%------ Positive definition of sP153_iProver_split
fof(lit_def_248,axiom,
( sP153_iProver_split
<=> $false ) ).
%------ Positive definition of sP154_iProver_split
fof(lit_def_249,axiom,
( sP154_iProver_split
<=> $false ) ).
%------ Positive definition of sP155_iProver_split
fof(lit_def_250,axiom,
( sP155_iProver_split
<=> $false ) ).
%------ Positive definition of sP156_iProver_split
fof(lit_def_251,axiom,
( sP156_iProver_split
<=> $false ) ).
%------ Positive definition of sP157_iProver_split
fof(lit_def_252,axiom,
( sP157_iProver_split
<=> $false ) ).
%------ Positive definition of sP158_iProver_split
fof(lit_def_253,axiom,
( sP158_iProver_split
<=> $false ) ).
%------ Positive definition of sP159_iProver_split
fof(lit_def_254,axiom,
( sP159_iProver_split
<=> $false ) ).
%------ Positive definition of sP160_iProver_split
fof(lit_def_255,axiom,
( sP160_iProver_split
<=> $true ) ).
%------ Positive definition of sP161_iProver_split
fof(lit_def_256,axiom,
( sP161_iProver_split
<=> $false ) ).
%------ Positive definition of sP162_iProver_split
fof(lit_def_257,axiom,
( sP162_iProver_split
<=> $false ) ).
%------ Positive definition of sP163_iProver_split
fof(lit_def_258,axiom,
( sP163_iProver_split
<=> $false ) ).
%------ Positive definition of sP164_iProver_split
fof(lit_def_259,axiom,
( sP164_iProver_split
<=> $false ) ).
%------ Positive definition of sP165_iProver_split
fof(lit_def_260,axiom,
( sP165_iProver_split
<=> $false ) ).
%------ Positive definition of sP166_iProver_split
fof(lit_def_261,axiom,
( sP166_iProver_split
<=> $false ) ).
%------ Positive definition of sP167_iProver_split
fof(lit_def_262,axiom,
( sP167_iProver_split
<=> $false ) ).
%------ Positive definition of sP168_iProver_split
fof(lit_def_263,axiom,
( sP168_iProver_split
<=> $true ) ).
%------ Positive definition of sP169_iProver_split
fof(lit_def_264,axiom,
( sP169_iProver_split
<=> $true ) ).
%------ Positive definition of sP170_iProver_split
fof(lit_def_265,axiom,
( sP170_iProver_split
<=> $false ) ).
%------ Positive definition of sP171_iProver_split
fof(lit_def_266,axiom,
( sP171_iProver_split
<=> $false ) ).
%------ Positive definition of sP172_iProver_split
fof(lit_def_267,axiom,
( sP172_iProver_split
<=> $false ) ).
%------ Positive definition of sP173_iProver_split
fof(lit_def_268,axiom,
( sP173_iProver_split
<=> $false ) ).
%------ Positive definition of sP174_iProver_split
fof(lit_def_269,axiom,
( sP174_iProver_split
<=> $false ) ).
%------ Positive definition of sP175_iProver_split
fof(lit_def_270,axiom,
( sP175_iProver_split
<=> $true ) ).
%------ Positive definition of sP176_iProver_split
fof(lit_def_271,axiom,
( sP176_iProver_split
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN426+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:34:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.24/2.79 % SZS status Started for theBenchmark.p
% 12.24/2.79 % SZS status CounterSatisfiable for theBenchmark.p
% 12.24/2.79
% 12.24/2.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 12.24/2.79
% 12.24/2.79 ------ iProver source info
% 12.24/2.79
% 12.24/2.79 git: date: 2023-05-31 18:12:56 +0000
% 12.24/2.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 12.24/2.79 git: non_committed_changes: false
% 12.24/2.79 git: last_make_outside_of_git: false
% 12.24/2.79
% 12.24/2.79 ------ Parsing...
% 12.24/2.79 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 12.24/2.79
% 12.24/2.79
% 12.24/2.79 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 12.24/2.79
% 12.24/2.79 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 12.24/2.79 gs_s sp: 246 0s gs_e snvd_s sp: 0 0s snvd_e
% 12.24/2.79 ------ Proving...
% 12.24/2.79 ------ Problem Properties
% 12.24/2.79
% 12.24/2.79
% 12.24/2.79 clauses 836
% 12.24/2.79 conjectures 503
% 12.24/2.79 EPR 836
% 12.24/2.79 Horn 412
% 12.24/2.79 unary 6
% 12.24/2.79 binary 264
% 12.24/2.79 lits 2770
% 12.24/2.79 lits eq 0
% 12.24/2.79 fd_pure 0
% 12.24/2.79 fd_pseudo 0
% 12.24/2.79 fd_cond 0
% 12.24/2.79 fd_pseudo_cond 0
% 12.24/2.79 AC symbols 0
% 12.24/2.79
% 12.24/2.79 ------ Schedule EPR non Horn non eq is on
% 12.24/2.79
% 12.24/2.79 ------ no equalities: superposition off
% 12.24/2.79
% 12.24/2.79 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 12.24/2.79
% 12.24/2.79
% 12.24/2.79 ------
% 12.24/2.79 Current options:
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% 12.24/2.79 ------ Proving...
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% 12.24/2.79 % SZS status CounterSatisfiable for theBenchmark.p
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% 12.24/2.79 ------ Building Model...Done
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% 12.24/2.79 %------ The model is defined over ground terms (initial term algebra).
% 12.24/2.79 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 12.24/2.79 %------ where \phi is a formula over the term algebra.
% 12.24/2.79 %------ If we have equality in the problem then it is also defined as a predicate above,
% 12.24/2.79 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 12.24/2.79 %------ See help for --sat_out_model for different model outputs.
% 12.24/2.79 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 12.24/2.79 %------ where the first argument stands for the sort ($i in the unsorted case)
% 12.24/2.79 % SZS output start Model for theBenchmark.p
% See solution above
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