TSTP Solution File: SYN518-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN518-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 03:08:09 EDT 2023
% Result : Satisfiable 3.78s 1.16s
% Output : Model 3.78s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of ndr1_0
fof(lit_def,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of c4_0
fof(lit_def_001,axiom,
( c4_0
<=> $false ) ).
%------ Positive definition of c1_0
fof(lit_def_002,axiom,
( c1_0
<=> $true ) ).
%------ Positive definition of c5_0
fof(lit_def_003,axiom,
( c5_0
<=> $false ) ).
%------ Positive definition of c3_0
fof(lit_def_004,axiom,
( c3_0
<=> $false ) ).
%------ Positive definition of ssSkC27
fof(lit_def_005,axiom,
( ssSkC27
<=> $true ) ).
%------ Positive definition of ssSkC26
fof(lit_def_006,axiom,
( ssSkC26
<=> $false ) ).
%------ Positive definition of ssSkC25
fof(lit_def_007,axiom,
( ssSkC25
<=> $true ) ).
%------ Positive definition of ssSkC24
fof(lit_def_008,axiom,
( ssSkC24
<=> $true ) ).
%------ Positive definition of ssSkC20
fof(lit_def_009,axiom,
( ssSkC20
<=> $true ) ).
%------ Positive definition of ssSkC19
fof(lit_def_010,axiom,
( ssSkC19
<=> $true ) ).
%------ Positive definition of ssSkC14
fof(lit_def_011,axiom,
( ssSkC14
<=> $false ) ).
%------ Positive definition of ssSkC13
fof(lit_def_012,axiom,
( ssSkC13
<=> $true ) ).
%------ Positive definition of ssSkC12
fof(lit_def_013,axiom,
( ssSkC12
<=> $true ) ).
%------ Positive definition of ssSkC11
fof(lit_def_014,axiom,
( ssSkC11
<=> $true ) ).
%------ Positive definition of ssSkC10
fof(lit_def_015,axiom,
( ssSkC10
<=> $false ) ).
%------ Positive definition of ssSkC9
fof(lit_def_016,axiom,
( ssSkC9
<=> $false ) ).
%------ Positive definition of ssSkC8
fof(lit_def_017,axiom,
( ssSkC8
<=> $true ) ).
%------ Positive definition of ssSkC6
fof(lit_def_018,axiom,
( ssSkC6
<=> $true ) ).
%------ Positive definition of ssSkC5
fof(lit_def_019,axiom,
( ssSkC5
<=> $true ) ).
%------ Positive definition of ssSkC4
fof(lit_def_020,axiom,
( ssSkC4
<=> $true ) ).
%------ Positive definition of ssSkC3
fof(lit_def_021,axiom,
( ssSkC3
<=> $false ) ).
%------ Positive definition of ssSkC2
fof(lit_def_022,axiom,
( ssSkC2
<=> $true ) ).
%------ Positive definition of ssSkC1
fof(lit_def_023,axiom,
( ssSkC1
<=> $true ) ).
%------ Negative definition of ndr1_1
fof(lit_def_024,axiom,
! [X0] :
( ~ ndr1_1(X0)
<=> ( X0 = a1110
| X0 = a1042 ) ) ).
%------ Positive definition of c3_1
fof(lit_def_025,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = a1121
| X0 = a1000
| X0 = a1110
| X0 = a1053
| X0 = a1042
| X0 = a1005
| X0 = a1054
| X0 = a1033
| X0 = a1080 ) ) ).
%------ Negative definition of c1_1
fof(lit_def_026,axiom,
! [X0] :
( ~ c1_1(X0)
<=> ( X0 = a1121
| X0 = a1000
| X0 = a1110
| X0 = a1083
| X0 = a1042
| X0 = a1129
| X0 = a1084
| X0 = a1075
| X0 = a1149
| X0 = a1079
| X0 = a1063
| X0 = a1051 ) ) ).
%------ Positive definition of c2_1
fof(lit_def_027,axiom,
! [X0] :
( c2_1(X0)
<=> ( X0 = a1113
| X0 = a1110
| X0 = a1083
| X0 = a1031
| X0 = a1112
| X0 = a1054
| X0 = a1046 ) ) ).
%------ Positive definition of c2_0
fof(lit_def_028,axiom,
( c2_0
<=> $false ) ).
%------ Positive definition of ssSkC16
fof(lit_def_029,axiom,
( ssSkC16
<=> $false ) ).
%------ Positive definition of ssSkC17
fof(lit_def_030,axiom,
( ssSkC17
<=> $true ) ).
%------ Positive definition of c5_1
fof(lit_def_031,axiom,
! [X0] :
( c5_1(X0)
<=> ( X0 = a1151
| X0 = a1103
| X0 = a1067
| X0 = a1049
| X0 = a1149 ) ) ).
%------ Positive definition of c4_1
fof(lit_def_032,axiom,
! [X0] :
( c4_1(X0)
<=> ( X0 = a1110
| X0 = a1053
| X0 = a1005
| X0 = a1080 ) ) ).
%------ Positive definition of ssSkP6
fof(lit_def_033,axiom,
! [X0] :
( ssSkP6(X0)
<=> ( X0 = a1110
| X0 = a1053
| X0 = a1042 ) ) ).
%------ Negative definition of ssSkP5
fof(lit_def_034,axiom,
! [X0] :
( ~ ssSkP5(X0)
<=> X0 = a1149 ) ).
%------ Negative definition of ssSkP4
fof(lit_def_035,axiom,
! [X0] :
( ~ ssSkP4(X0)
<=> $false ) ).
%------ Negative definition of ssSkP3
fof(lit_def_036,axiom,
! [X0] :
( ~ ssSkP3(X0)
<=> X0 = a1075 ) ).
%------ Positive definition of ssSkP2
fof(lit_def_037,axiom,
! [X0] :
( ssSkP2(X0)
<=> $true ) ).
%------ Positive definition of ssSkP1
fof(lit_def_038,axiom,
! [X0] :
( ssSkP1(X0)
<=> $true ) ).
%------ Positive definition of ssSkP0
fof(lit_def_039,axiom,
! [X0] :
( ssSkP0(X0)
<=> $true ) ).
%------ Positive definition of c4_2
fof(lit_def_040,axiom,
! [X0,X1] :
( c4_2(X0,X1)
<=> ( ( X0 = a1141
& X1 = a1143 )
| ( X0 = a1110
& X1 = a1108 )
| ( X0 = a1053
& X1 = a1120 )
| ( X0 = a1097
& X1 = a1108 )
| ( X0 = a1075
& X1 != a1127
& X1 != a1107
& X1 != a1090
& X1 != a1076
& X1 != a1128
& X1 != a1006
& X1 != a1137
& X1 != a1034
& X1 != a1091
& X1 != a1093
& X1 != a1038
& X1 != a1130 )
| ( X0 = a1075
& X1 = a1128 )
| ( X0 = a1075
& X1 = a1006 )
| ( X0 = a1075
& X1 = a1093 )
| ( X0 = a1075
& X1 = a1038 )
| ( X0 = a1054
& X1 = a1056 )
| ( X0 = a1054
& X1 = a1108 )
| ( X0 = a1149
& X1 = a1150 ) ) ) ).
%------ Positive definition of c1_2
fof(lit_def_041,axiom,
! [X0,X1] :
( c1_2(X0,X1)
<=> ( ( X0 = a1141
& X1 = a1143 )
| ( X0 = a1141
& X1 = a1142 )
| ( X0 = a1000
& X1 = a1127 )
| ( X0 = a1110
& X1 = a1127 )
| ( X0 = a1110
& X1 = a1111 )
| ( X0 = a1083
& X1 != a1092
& X1 != a1090
& X1 != a1003
& X1 != a1101
& X1 != a1130 )
| ( X0 = a1083
& X1 = a1092 )
| ( X0 = a1083
& X1 = a1137 )
| ( X0 = a1042
& X1 = a1045 )
| ( X0 = a1023
& X1 = a1024 )
| ( X0 = a1103
& X1 != a1092
& X1 != a1090
& X1 != a1003
& X1 != a1101
& X1 != a1130 )
| ( X0 = a1103
& X1 = a1003 )
| ( X0 = a1103
& X1 = a1130 )
| ( X0 = a1097
& X1 = a1098 )
| ( X0 = a1097
& X1 = a1108 )
| ( X0 = a1084
& X1 = a1085 )
| ( X0 = a1075
& X1 = a1127 )
| ( X0 = a1075
& X1 = a1107 )
| ( X0 = a1075
& X1 = a1137 )
| ( X0 = a1075
& X1 = a1034 )
| ( X0 = a1075
& X1 = a1091 )
| ( X0 = a1054
& X1 != a1092
& X1 != a1090
& X1 != a1003
& X1 != a1056
& X1 != a1101
& X1 != a1130 )
| ( X0 = a1054
& X1 = a1056 )
| ( X0 = a1054
& X1 = a1091 )
| ( X0 = a1010
& X1 = a1127 )
| ( X0 = a1149
& X1 = a1127 )
| ( X0 = a1149
& X1 = a1107 )
| ( X0 = a1149
& X1 = a1150 )
| ( X0 = a1149
& X1 = a1034 )
| ( X0 = a1051
& X1 != a1092
& X1 != a1090
& X1 != a1003
& X1 != a1101
& X1 != a1130 )
| ( X0 = a1051
& X1 = a1052 )
| ( X1 = a1127
& X0 != a1000
& X0 != a1110
& X0 != a1053
& X0 != a1075
& X0 != a1010
& X0 != a1149 ) ) ) ).
%------ Positive definition of ssSkC22
fof(lit_def_042,axiom,
( ssSkC22
<=> $false ) ).
%------ Positive definition of ssSkC21
fof(lit_def_043,axiom,
( ssSkC21
<=> $true ) ).
%------ Positive definition of c3_2
fof(lit_def_044,axiom,
! [X0,X1] :
( c3_2(X0,X1)
<=> ( ( X0 = a1000
& X1 = a1001 )
| ( X0 = a1057
& X1 = a1058 )
| ( X0 = a1023
& X1 = a1024 )
| ( X0 = a1103
& X1 = a1092 )
| ( X0 = a1103
& X1 = a1090 )
| ( X0 = a1103
& X1 = a1101 )
| ( X0 = a1097
& X1 = a1098 )
| ( X0 = a1084
& X1 = a1086 )
| ( X0 = a1084
& X1 = a1085 )
| ( X0 = a1067
& X1 = a1068 )
| ( X0 = a1054
& X1 = a1130 )
| ( X0 = a1149
& X1 = a1150 )
| ( X0 = a1104
& X1 = a1105 )
| ( X0 = a1051
& X1 = a1130 ) ) ) ).
%------ Positive definition of c5_2
fof(lit_def_045,axiom,
! [X0,X1] :
( c5_2(X0,X1)
<=> ( ( X0 = a1110
& X1 = a1111 )
| ( X0 = a1083
& X1 = a1090 )
| ( X0 = a1083
& X1 = a1003 )
| ( X0 = a1083
& X1 = a1101 )
| ( X0 = a1083
& X1 = a1130 )
| ( X0 = a1042
& X1 = a1043 )
| ( X0 = a1103
& X1 = a1003 )
| ( X0 = a1097
& X1 = a1098 )
| ( X0 = a1075
& X1 = a1090 )
| ( X0 = a1075
& X1 = a1076 )
| ( X0 = a1075
& X1 = a1130 )
| ( X0 = a1054
& X1 = a1091 )
| ( X0 = a1051
& X1 = a1052 ) ) ) ).
%------ Positive definition of c2_2
fof(lit_def_046,axiom,
! [X0,X1] :
( c2_2(X0,X1)
<=> ( ( X0 = a1000
& X1 = a1127 )
| ( X0 = a1147
& X1 = a1148 )
| ( X0 = a1072
& X1 = a1073 )
| ( X0 = a1075
& X1 != a1127
& X1 != a1107
& X1 != a1076
& X1 != a1137
& X1 != a1034
& X1 != a1091
& X1 != a1038 )
| ( X0 = a1075
& X1 = a1090 )
| ( X0 = a1075
& X1 = a1038 )
| ( X0 = a1067
& X1 = a1068 )
| ( X0 = a1010
& X1 = a1012 )
| ( X0 = a1010
& X1 = a1011 )
| ( X0 = a1149
& X1 = a1090 )
| ( X0 = a1051
& X1 = a1092 ) ) ) ).
%------ Positive definition of ssSkC15
fof(lit_def_047,axiom,
( ssSkC15
<=> $true ) ).
%------ Positive definition of ssSkC7
fof(lit_def_048,axiom,
( ssSkC7
<=> $true ) ).
%------ Positive definition of ssSkC0
fof(lit_def_049,axiom,
( ssSkC0
<=> $true ) ).
%------ Positive definition of ssSkC23
fof(lit_def_050,axiom,
( ssSkC23
<=> $false ) ).
%------ Positive definition of ssSkC18
fof(lit_def_051,axiom,
( ssSkC18
<=> $false ) ).
%------ Positive definition of sP0_iProver_split
fof(lit_def_052,axiom,
( sP0_iProver_split
<=> $false ) ).
%------ Positive definition of sP1_iProver_split
fof(lit_def_053,axiom,
( sP1_iProver_split
<=> $true ) ).
%------ Positive definition of sP2_iProver_split
fof(lit_def_054,axiom,
( sP2_iProver_split
<=> $false ) ).
%------ Positive definition of sP3_iProver_split
fof(lit_def_055,axiom,
( sP3_iProver_split
<=> $true ) ).
%------ Positive definition of sP4_iProver_split
fof(lit_def_056,axiom,
( sP4_iProver_split
<=> $false ) ).
%------ Positive definition of sP5_iProver_split
fof(lit_def_057,axiom,
( sP5_iProver_split
<=> $false ) ).
%------ Positive definition of sP6_iProver_split
fof(lit_def_058,axiom,
( sP6_iProver_split
<=> $true ) ).
%------ Positive definition of sP7_iProver_split
fof(lit_def_059,axiom,
( sP7_iProver_split
<=> $false ) ).
%------ Positive definition of sP8_iProver_split
fof(lit_def_060,axiom,
( sP8_iProver_split
<=> $false ) ).
%------ Positive definition of sP9_iProver_split
fof(lit_def_061,axiom,
( sP9_iProver_split
<=> $true ) ).
%------ Positive definition of sP10_iProver_split
fof(lit_def_062,axiom,
( sP10_iProver_split
<=> $true ) ).
%------ Positive definition of sP11_iProver_split
fof(lit_def_063,axiom,
( sP11_iProver_split
<=> $true ) ).
%------ Positive definition of sP12_iProver_split
fof(lit_def_064,axiom,
( sP12_iProver_split
<=> $false ) ).
%------ Positive definition of sP13_iProver_split
fof(lit_def_065,axiom,
( sP13_iProver_split
<=> $true ) ).
%------ Positive definition of sP14_iProver_split
fof(lit_def_066,axiom,
( sP14_iProver_split
<=> $true ) ).
%------ Positive definition of sP15_iProver_split
fof(lit_def_067,axiom,
( sP15_iProver_split
<=> $false ) ).
%------ Positive definition of sP16_iProver_split
fof(lit_def_068,axiom,
( sP16_iProver_split
<=> $false ) ).
%------ Positive definition of sP17_iProver_split
fof(lit_def_069,axiom,
( sP17_iProver_split
<=> $true ) ).
%------ Positive definition of sP18_iProver_split
fof(lit_def_070,axiom,
( sP18_iProver_split
<=> $false ) ).
%------ Positive definition of sP19_iProver_split
fof(lit_def_071,axiom,
( sP19_iProver_split
<=> $true ) ).
%------ Positive definition of sP20_iProver_split
fof(lit_def_072,axiom,
( sP20_iProver_split
<=> $false ) ).
%------ Positive definition of sP21_iProver_split
fof(lit_def_073,axiom,
( sP21_iProver_split
<=> $true ) ).
%------ Positive definition of sP22_iProver_split
fof(lit_def_074,axiom,
( sP22_iProver_split
<=> $false ) ).
%------ Positive definition of sP23_iProver_split
fof(lit_def_075,axiom,
( sP23_iProver_split
<=> $true ) ).
%------ Positive definition of sP24_iProver_split
fof(lit_def_076,axiom,
( sP24_iProver_split
<=> $false ) ).
%------ Positive definition of sP25_iProver_split
fof(lit_def_077,axiom,
( sP25_iProver_split
<=> $true ) ).
%------ Positive definition of sP26_iProver_split
fof(lit_def_078,axiom,
( sP26_iProver_split
<=> $true ) ).
%------ Positive definition of sP27_iProver_split
fof(lit_def_079,axiom,
( sP27_iProver_split
<=> $true ) ).
%------ Positive definition of sP28_iProver_split
fof(lit_def_080,axiom,
( sP28_iProver_split
<=> $false ) ).
%------ Positive definition of sP29_iProver_split
fof(lit_def_081,axiom,
( sP29_iProver_split
<=> $false ) ).
%------ Positive definition of sP30_iProver_split
fof(lit_def_082,axiom,
( sP30_iProver_split
<=> $false ) ).
%------ Positive definition of sP31_iProver_split
fof(lit_def_083,axiom,
( sP31_iProver_split
<=> $true ) ).
%------ Positive definition of sP32_iProver_split
fof(lit_def_084,axiom,
( sP32_iProver_split
<=> $true ) ).
%------ Positive definition of sP33_iProver_split
fof(lit_def_085,axiom,
( sP33_iProver_split
<=> $true ) ).
%------ Positive definition of sP34_iProver_split
fof(lit_def_086,axiom,
( sP34_iProver_split
<=> $false ) ).
%------ Positive definition of sP35_iProver_split
fof(lit_def_087,axiom,
( sP35_iProver_split
<=> $true ) ).
%------ Positive definition of sP36_iProver_split
fof(lit_def_088,axiom,
( sP36_iProver_split
<=> $false ) ).
%------ Positive definition of sP37_iProver_split
fof(lit_def_089,axiom,
( sP37_iProver_split
<=> $false ) ).
%------ Positive definition of sP38_iProver_split
fof(lit_def_090,axiom,
( sP38_iProver_split
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN518-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.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 : 300
% 0.13/0.34 % DateTime : Sat Aug 26 21:03:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.78/1.16 % SZS status Started for theBenchmark.p
% 3.78/1.16 % SZS status Satisfiable for theBenchmark.p
% 3.78/1.16
% 3.78/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.78/1.16
% 3.78/1.16 ------ iProver source info
% 3.78/1.16
% 3.78/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.78/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.78/1.16 git: non_committed_changes: false
% 3.78/1.16 git: last_make_outside_of_git: false
% 3.78/1.16
% 3.78/1.16 ------ Parsing...successful
% 3.78/1.16
% 3.78/1.16 ------ preprocesses with Option_epr_non_horn_non_eq
% 3.78/1.16
% 3.78/1.16
% 3.78/1.16 ------ Preprocessing... sf_s rm: 34 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.78/1.16
% 3.78/1.16 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 3.78/1.16 gs_s sp: 45 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.78/1.16 ------ Proving...
% 3.78/1.16 ------ Problem Properties
% 3.78/1.16
% 3.78/1.16
% 3.78/1.16 clauses 322
% 3.78/1.16 conjectures 319
% 3.78/1.16 EPR 322
% 3.78/1.16 Horn 170
% 3.78/1.16 unary 38
% 3.78/1.16 binary 141
% 3.78/1.16 lits 1004
% 3.78/1.16 lits eq 0
% 3.78/1.16 fd_pure 0
% 3.78/1.16 fd_pseudo 0
% 3.78/1.16 fd_cond 0
% 3.78/1.16 fd_pseudo_cond 0
% 3.78/1.16 AC symbols 0
% 3.78/1.16
% 3.78/1.16 ------ Schedule EPR non Horn non eq is on
% 3.78/1.16
% 3.78/1.16 ------ no equalities: superposition off
% 3.78/1.16
% 3.78/1.16 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.78/1.16
% 3.78/1.16
% 3.78/1.16 ------
% 3.78/1.16 Current options:
% 3.78/1.16 ------
% 3.78/1.16
% 3.78/1.16
% 3.78/1.16
% 3.78/1.16
% 3.78/1.16 ------ Proving...
% 3.78/1.16
% 3.78/1.16
% 3.78/1.16 % SZS status Satisfiable for theBenchmark.p
% 3.78/1.16
% 3.78/1.16 ------ Building Model...Done
% 3.78/1.16
% 3.78/1.16 %------ The model is defined over ground terms (initial term algebra).
% 3.78/1.16 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 3.78/1.16 %------ where \phi is a formula over the term algebra.
% 3.78/1.16 %------ If we have equality in the problem then it is also defined as a predicate above,
% 3.78/1.16 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.78/1.16 %------ See help for --sat_out_model for different model outputs.
% 3.78/1.16 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.78/1.16 %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.78/1.16 % SZS output start Model for theBenchmark.p
% See solution above
% 3.78/1.16
%------------------------------------------------------------------------------