%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN519-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:40 PM UTC 2026
% Result : Satisfiable 45.85s 17.25s
% Output : Model 45.85s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of c4_0
fof(lit_def,axiom,
( c4_0
<=> $true ) ).
%------ Positive definition of ssSkC45
fof(lit_def_001,axiom,
( ssSkC45
<=> $false ) ).
%------ Positive definition of ndr1_0
fof(lit_def_002,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of ssSkC40
fof(lit_def_003,axiom,
( ssSkC40
<=> $true ) ).
%------ Positive definition of ssSkC27
fof(lit_def_004,axiom,
( ssSkC27
<=> $true ) ).
%------ Positive definition of ssSkC25
fof(lit_def_005,axiom,
( ssSkC25
<=> $true ) ).
%------ Positive definition of ssSkC16
fof(lit_def_006,axiom,
( ssSkC16
<=> $false ) ).
%------ Positive definition of ssSkC15
fof(lit_def_007,axiom,
( ssSkC15
<=> $false ) ).
%------ Positive definition of ssSkC10
fof(lit_def_008,axiom,
( ssSkC10
<=> $false ) ).
%------ Positive definition of ssSkC9
fof(lit_def_009,axiom,
( ssSkC9
<=> $false ) ).
%------ Positive definition of ssSkC8
fof(lit_def_010,axiom,
( ssSkC8
<=> $false ) ).
%------ Positive definition of c5_0
fof(lit_def_011,axiom,
( c5_0
<=> $false ) ).
%------ Positive definition of c3_0
fof(lit_def_012,axiom,
( c3_0
<=> $false ) ).
%------ Positive definition of c2_0
fof(lit_def_013,axiom,
( c2_0
<=> $true ) ).
%------ Positive definition of ssSkC44
fof(lit_def_014,axiom,
( ssSkC44
<=> $false ) ).
%------ Positive definition of ssSkC43
fof(lit_def_015,axiom,
( ssSkC43
<=> $true ) ).
%------ Positive definition of ssSkC42
fof(lit_def_016,axiom,
( ssSkC42
<=> $true ) ).
%------ Positive definition of ssSkC41
fof(lit_def_017,axiom,
( ssSkC41
<=> $true ) ).
%------ Positive definition of ssSkC39
fof(lit_def_018,axiom,
( ssSkC39
<=> $false ) ).
%------ Positive definition of ssSkC38
fof(lit_def_019,axiom,
( ssSkC38
<=> $true ) ).
%------ Positive definition of ssSkC37
fof(lit_def_020,axiom,
( ssSkC37
<=> $false ) ).
%------ Positive definition of ssSkC36
fof(lit_def_021,axiom,
( ssSkC36
<=> $true ) ).
%------ Positive definition of ssSkC35
fof(lit_def_022,axiom,
( ssSkC35
<=> $true ) ).
%------ Positive definition of ssSkC28
fof(lit_def_023,axiom,
( ssSkC28
<=> $true ) ).
%------ Positive definition of ssSkC26
fof(lit_def_024,axiom,
( ssSkC26
<=> $false ) ).
%------ Positive definition of ssSkC24
fof(lit_def_025,axiom,
( ssSkC24
<=> $true ) ).
%------ Positive definition of ssSkC19
fof(lit_def_026,axiom,
( ssSkC19
<=> $true ) ).
%------ Positive definition of ssSkC14
fof(lit_def_027,axiom,
( ssSkC14
<=> $true ) ).
%------ Positive definition of ssSkC7
fof(lit_def_028,axiom,
( ssSkC7
<=> $true ) ).
%------ Positive definition of ndr1_1
fof(lit_def_029,axiom,
! [X0] :
( ndr1_1(X0)
<=> $true ) ).
%------ Positive definition of c3_1
fof(lit_def_030,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = a122
| X0 = a123
| X0 = a58
| X0 = a85
| X0 = a139
| X0 = a71
| X0 = a102
| X0 = a172
| X0 = a51
| X0 = a159
| ( X0 != a93
& X0 != a61
& X0 != a163
& X0 != a49
& X0 != a74
& X0 != a132
& X0 != a48
& X0 != a54
& X0 != a96
& X0 != a80
& X0 != a26
& X0 != a83
& X0 != a87
& X0 != a90
& X0 != a38
& X0 != a130
& X0 != a135
& X0 != a127
& X0 != a147
& X0 != a172
& X0 != a46 ) ) ) ).
%------ Positive definition of c4_1
fof(lit_def_031,axiom,
! [X0] :
( c4_1(X0)
<=> ( X0 = a123
| X0 = a54
| X0 = a38
| X0 = a135
| X0 = a139
| X0 = a102
| X0 = a127
| X0 = a172
| X0 = a159 ) ) ).
%------ Positive definition of c5_1
fof(lit_def_032,axiom,
! [X0] :
( c5_1(X0)
<=> ( X0 = a123
| X0 = a54
| X0 = a135
| X0 = a139
| X0 = a102
| X0 = a127
| X0 = a172
| X0 = a159 ) ) ).
%------ Positive definition of ssSkC34
fof(lit_def_033,axiom,
( ssSkC34
<=> $false ) ).
%------ Positive definition of ssSkC31
fof(lit_def_034,axiom,
( ssSkC31
<=> $true ) ).
%------ Positive definition of ssSkC32
fof(lit_def_035,axiom,
( ssSkC32
<=> $true ) ).
%------ Positive definition of ssSkC29
fof(lit_def_036,axiom,
( ssSkC29
<=> $true ) ).
%------ Positive definition of ssSkC30
fof(lit_def_037,axiom,
( ssSkC30
<=> $true ) ).
%------ Positive definition of ssSkC23
fof(lit_def_038,axiom,
( ssSkC23
<=> $true ) ).
%------ Positive definition of ssSkC20
fof(lit_def_039,axiom,
( ssSkC20
<=> $true ) ).
%------ Positive definition of ssSkC21
fof(lit_def_040,axiom,
( ssSkC21
<=> $true ) ).
%------ Positive definition of ssSkC18
fof(lit_def_041,axiom,
( ssSkC18
<=> $true ) ).
%------ Positive definition of c2_1
fof(lit_def_042,axiom,
! [X0] :
( c2_1(X0)
<=> ( X0 = a61
| X0 = a123
| X0 = a163
| X0 = a74
| X0 = a26
| X0 = a83
| X0 = a38
| X0 = a130
| X0 = a139
| X0 = a102
| X0 = a172
| X0 = a46
| X0 = a159 ) ) ).
%------ Positive definition of c1_1
fof(lit_def_043,axiom,
! [X0] :
( c1_1(X0)
<=> ( X0 = a49
| X0 = a54
| X0 = a80
| X0 = a83
| X0 = a87
| X0 = a114
| X0 = a135
| X0 = a127
| X0 = a154
| X0 = a27
| X0 = a46
| ( X0 != a122
& X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a49
& X0 != a74
& X0 != a132
& X0 != a48
& X0 != a80
& X0 != a26
& X0 != a29
& X0 != a121
& X0 != a167
& X0 != a38
& X0 != a47
& X0 != a85
& X0 != a130
& X0 != a139
& X0 != a102
& X0 != a147
& X0 != a172
& X0 != a51
& X0 != a159 ) ) ) ).
%------ Positive definition of ssSkP9
fof(lit_def_044,axiom,
! [X0] :
( ssSkP9(X0)
<=> $true ) ).
%------ Positive definition of ssSkP8
fof(lit_def_045,axiom,
! [X0] :
( ssSkP8(X0)
<=> ( X0 = a61
| X0 = a123
| X0 = a58
| X0 = a74
| X0 = a26
| X0 = a83
| X0 = a38
| X0 = a130
| X0 = a139
| X0 = a102
| ( X0 != a48
& X0 != a139
& X0 != a102 ) ) ) ).
%------ Positive definition of ssSkP7
fof(lit_def_046,axiom,
! [X0] :
( ssSkP7(X0)
<=> ( X0 = a61
| X0 = a58
| X0 = a163
| X0 = a49
| X0 = a48
| X0 = a26
| X0 = a38
| X0 = a127
| X0 = a172
| X0 = a46
| X0 = a159
| ( X0 != a61
& X0 != a163
& X0 != a38
& X0 != a139
& X0 != a159 ) ) ) ).
%------ Positive definition of ssSkP6
fof(lit_def_047,axiom,
! [X0] :
( ssSkP6(X0)
<=> ( X0 = a123
| X0 = a163
| X0 = a48
| X0 = a26
| X0 = a83
| X0 = a38
| X0 = a130
| X0 = a172
| X0 = a159 ) ) ).
%------ Positive definition of ssSkP5
fof(lit_def_048,axiom,
! [X0] :
( ssSkP5(X0)
<=> ( X0 = a122
| X0 = a123
| X0 = a58
| X0 = a96
| X0 = a26
| X0 = a29
| X0 = a83
| X0 = a87
| X0 = a121
| X0 = a167
| X0 = a38
| X0 = a47
| X0 = a85
| X0 = a135
| X0 = a139
| X0 = a102
| X0 = a147
| X0 = a46
| X0 = a51
| X0 = a159
| ( X0 != a61
& X0 != a163
& X0 != a74
& X0 != a48
& X0 != a130
& X0 != a127
& X0 != a172 ) ) ) ).
%------ Positive definition of ssSkP4
fof(lit_def_049,axiom,
! [X0] :
( ssSkP4(X0)
<=> ( X0 = a61
| X0 = a123
| X0 = a74
| X0 = a38
| X0 = a102
| ( X0 != a61
& X0 != a123
& X0 != a58
& X0 != a74
& X0 != a26
& X0 != a83
& X0 != a38
& X0 != a130
& X0 != a139
& X0 != a102
& X0 != a172
& X0 != a51
& X0 != a159 ) ) ) ).
%------ Positive definition of ssSkP3
fof(lit_def_050,axiom,
! [X0] :
( ssSkP3(X0)
<=> ( X0 = a61
| X0 = a58
| X0 = a26
| X0 = a172
| X0 = a51
| X0 = a159 ) ) ).
%------ Positive definition of ssSkP2
fof(lit_def_051,axiom,
! [X0] :
( ssSkP2(X0)
<=> ( X0 = a61
| X0 = a58
| X0 = a163
| X0 = a48
| X0 = a26
| X0 = a38
| X0 = a130
| X0 = a102
| X0 = a172
| X0 = a46
| X0 = a51 ) ) ).
%------ Positive definition of ssSkP1
fof(lit_def_052,axiom,
! [X0] :
( ssSkP1(X0)
<=> $true ) ).
%------ Positive definition of ssSkP0
fof(lit_def_053,axiom,
! [X0] :
( ssSkP0(X0)
<=> $true ) ).
%------ Positive definition of c3_2
fof(lit_def_054,axiom,
! [X0,X1] :
( c3_2(X0,X1)
<=> ( ( X0 != a61
& X0 != a58
& X0 != a48
& X0 != a26
& X0 != a38
& X0 != a139
& X0 != a102
& X0 != a51
& X1 = a69 )
| ( X0 != a61
& X0 != a58
& X0 != a48
& X0 != a54
& X0 != a26
& X0 != a38
& X0 != a139
& X0 != a51
& X1 = a98 )
| ( X0 != a61
& X0 != a58
& X0 != a38
& X0 != a139
& X0 != a172
& X0 != a51
& X1 = a25 )
| ( X0 != a61
& X0 != a58
& X0 != a48
& X0 != a26
& X0 != a38
& X0 != a139
& X0 != a172
& X0 != a51
& X1 = a60 )
| ( X0 != a61
& X0 != a58
& X0 != a38
& X0 != a139
& X0 != a51
& X0 != a159
& X1 = a44 )
| ( X0 != a61
& X0 != a58
& X0 != a26
& X0 != a38
& X0 != a139
& X0 != a51
& X1 = a68 )
| ( X1 = a55
& X0 = a61 )
| ( X1 = a28
& X0 = a61 )
| ( X1 = a77
& X0 = a61 )
| ( X1 = a42
& X0 = a61 )
| ( X1 = a60
& X0 = a61 )
| ( X1 = a45
& X0 = a61 )
| ( X1 = a68
& X0 = a61 )
| ( X1 = a53
& X0 = a123 )
| ( X1 = a28
& X0 = a123 )
| ( X1 = a77
& X0 = a123 )
| ( X1 = a25
& X0 = a123 )
| ( X1 = a65
& X0 = a123 )
| ( X1 = a60
& X0 = a123 )
| ( X1 = a45
& X0 = a123 )
| ( X1 = a31
& X0 = a123 )
| ( X1 = a44
& X0 = a123 )
| ( X1 = a115
& X0 = a123 )
| ( X1 = a141
& X0 = a58 )
| ( X1 = a69
& X0 = a58 )
| ( X1 = a25
& X0 = a58 )
| ( X1 = a31
& X0 = a58 )
| ( X1 = a59
& X0 = a58 )
| ( X1 = a134
& X0 = a163 )
| ( X1 = a68
& X0 = a163 )
| ( X1 != a53
& X1 != a28
& X1 != a40
& X1 != a143
& X1 != a134
& X1 != a37
& X1 != a32
& X1 != a65
& X1 != a101
& X1 != a31
& X1 != a81
& X1 != a100
& X0 = a163 )
| ( X1 = a40
& X0 = a49 )
| ( X1 = a42
& X0 = a49 )
| ( X1 = a134
& X0 = a49 )
| ( X1 = a60
& X0 = a49 )
| ( X1 = a101
& X0 = a49 )
| ( X1 = a44
& X0 = a49 )
| ( X1 = a100
& X0 = a49 )
| ( X1 != a40
& X1 != a134
& X1 != a37
& X1 != a101
& X1 != a100
& X0 = a49 )
| ( X1 = a55
& X0 = a74 )
| ( X1 = a53
& X0 = a74 )
| ( X1 = a28
& X0 = a74 )
| ( X1 = a77
& X0 = a74 )
| ( X1 = a42
& X0 = a74 )
| ( X1 = a75
& X0 = a74 )
| ( X1 = a76
& X0 = a74 )
| ( X1 = a37
& X0 = a74 )
| ( X1 = a25
& X0 = a74 )
| ( X1 = a60
& X0 = a74 )
| ( X1 = a31
& X0 = a74 )
| ( X1 = a44
& X0 = a74 )
| ( X1 = a59
& X0 = a74 )
| ( X1 = a68
& X0 = a74 )
| ( X1 = a55
& X0 = a48 )
| ( X1 = a116
& X0 = a48 )
| ( X1 = a28
& X0 = a48 )
| ( X1 = a40
& X0 = a48 )
| ( X1 = a42
& X0 = a48 )
| ( X1 = a134
& X0 = a48 )
| ( X1 = a37
& X0 = a48 )
| ( X1 = a32
& X0 = a48 )
| ( X1 = a60
& X0 = a48 )
| ( X1 = a101
& X0 = a48 )
| ( X1 = a44
& X0 = a48 )
| ( X1 = a68
& X0 = a48 )
| ( X1 = a81
& X0 = a48 )
| ( X1 = a100
& X0 = a48 )
| ( X1 != a55
& X1 != a141
& X1 != a116
& X1 != a28
& X1 != a40
& X1 != a69
& X1 != a143
& X1 != a134
& X1 != a37
& X1 != a98
& X1 != a60
& X1 != a101
& X1 != a81
& X1 != a100
& X0 = a48 )
| ( X1 = a141
& X0 = a54 )
| ( X1 = a42
& X0 = a54 )
| ( X1 = a143
& X0 = a54 )
| ( X1 = a37
& X0 = a54 )
| ( X1 = a65
& X0 = a54 )
| ( X1 = a68
& X0 = a54 )
| ( X1 = a97
& X0 = a96 )
| ( X1 = a55
& X0 = a26 )
| ( X1 = a77
& X0 = a26 )
| ( X1 = a143
& X0 = a26 )
| ( X1 = a117
& X0 = a26 )
| ( X1 = a25
& X0 = a26 )
| ( X1 = a45
& X0 = a26 )
| ( X1 = a44
& X0 = a26 )
| ( X1 = a59
& X0 = a26 )
| ( X1 = a115
& X0 = a26 )
| ( X1 != a28
& X1 != a40
& X1 != a69
& X1 != a143
& X1 != a117
& X1 != a134
& X1 != a37
& X1 != a98
& X1 != a60
& X1 != a101
& X1 != a31
& X1 != a68
& X1 != a81
& X1 != a100
& X0 = a26 )
| ( X1 = a30
& X0 = a29 )
| ( X1 = a55
& X0 = a83 )
| ( X1 = a53
& X0 = a83 )
| ( X1 = a28
& X0 = a83 )
| ( X1 = a77
& X0 = a83 )
| ( X1 = a45
& X0 = a83 )
| ( X1 = a84
& X0 = a83 )
| ( X1 = a31
& X0 = a83 )
| ( X1 = a44
& X0 = a83 )
| ( X1 = a59
& X0 = a83 )
| ( X1 = a88
& X0 = a87 )
| ( X1 = a89
& X0 = a87 )
| ( X1 = a141
& X0 = a38 )
| ( X1 = a53
& X0 = a38 )
| ( X1 = a28
& X0 = a38 )
| ( X1 = a69
& X0 = a38 )
| ( X1 = a42
& X0 = a38 )
| ( X1 = a117
& X0 = a38 )
| ( X1 = a25
& X0 = a38 )
| ( X1 = a60
& X0 = a38 )
| ( X1 = a45
& X0 = a38 )
| ( X1 = a39
& X0 = a38 )
| ( X1 = a31
& X0 = a38 )
| ( X1 = a44
& X0 = a38 )
| ( X1 = a59
& X0 = a38 )
| ( X1 = a68
& X0 = a38 )
| ( X1 = a100
& X0 = a38 )
| ( X1 = a115
& X0 = a38 )
| ( X1 = a28
& X0 = a47 )
| ( X1 = a42
& X0 = a47 )
| ( X1 = a143
& X0 = a47 )
| ( X1 = a60
& X0 = a47 )
| ( X1 = a44
& X0 = a47 )
| ( X1 = a111
& X0 = a110 )
| ( X1 = a53
& X0 = a130 )
| ( X1 = a77
& X0 = a130 )
| ( X1 = a44
& X0 = a130 )
| ( X1 = a59
& X0 = a130 )
| ( X1 = a68
& X0 = a130 )
| ( X1 = a37
& X0 = a135 )
| ( X1 = a65
& X0 = a135 )
| ( X1 = a55
& X0 = a139 )
| ( X1 = a77
& X0 = a139 )
| ( X1 = a42
& X0 = a139 )
| ( X1 = a117
& X0 = a139 )
| ( X1 = a37
& X0 = a139 )
| ( X1 = a98
& X0 = a139 )
| ( X1 = a25
& X0 = a139 )
| ( X1 = a65
& X0 = a139 )
| ( X1 = a60
& X0 = a139 )
| ( X1 = a101
& X0 = a139 )
| ( X1 = a44
& X0 = a139 )
| ( X1 = a59
& X0 = a139 )
| ( X1 = a68
& X0 = a139 )
| ( X1 = a55
& X0 = a102 )
| ( X1 = a53
& X0 = a102 )
| ( X1 = a77
& X0 = a102 )
| ( X1 = a98
& X0 = a102 )
| ( X1 = a25
& X0 = a102 )
| ( X1 = a45
& X0 = a102 )
| ( X1 = a31
& X0 = a102 )
| ( X1 = a44
& X0 = a102 )
| ( X1 = a68
& X0 = a102 )
| ( X1 = a40
& X0 = a127 )
| ( X1 = a42
& X0 = a127 )
| ( X1 = a134
& X0 = a127 )
| ( X1 = a37
& X0 = a127 )
| ( X1 = a65
& X0 = a127 )
| ( X1 = a68
& X0 = a127 )
| ( X1 != a28
& X1 != a40
& X1 != a134
& X1 != a56
& X1 != a101
& X1 != a100
& X0 = a127 )
| ( X1 = a28
& X0 = a172 )
| ( X1 = a69
& X0 = a172 )
| ( X1 = a77
& X0 = a172 )
| ( X1 = a42
& X0 = a172 )
| ( X1 = a25
& X0 = a172 )
| ( X1 = a56
& X0 = a172 )
| ( X1 = a60
& X0 = a172 )
| ( X1 = a31
& X0 = a172 )
| ( X1 = a44
& X0 = a172 )
| ( X1 = a59
& X0 = a172 )
| ( X1 = a68
& X0 = a172 )
| ( X1 != a141
& X1 != a53
& X1 != a28
& X1 != a40
& X1 != a143
& X1 != a117
& X1 != a134
& X1 != a37
& X1 != a25
& X1 != a32
& X1 != a65
& X1 != a56
& X1 != a60
& X1 != a101
& X1 != a31
& X1 != a81
& X1 != a100
& X0 = a172 )
| ( X1 = a143
& X0 = a46 )
| ( X1 = a134
& X0 = a46 )
| ( X1 = a32
& X0 = a46 )
| ( X1 != a28
& X1 != a40
& X1 != a143
& X1 != a134
& X1 != a37
& X1 != a101
& X1 != a81
& X1 != a100
& X0 = a46 )
| ( X1 = a69
& X0 = a51 )
| ( X1 = a60
& X0 = a51 )
| ( X1 = a45
& X0 = a51 )
| ( X1 = a31
& X0 = a51 )
| ( X1 = a59
& X0 = a51 )
| ( X1 = a115
& X0 = a51 )
| ( X1 = a52
& X0 = a51 )
| ( X1 = a126
& X0 = a125 )
| ( X1 = a77
& X0 = a159 )
| ( X1 = a42
& X0 = a159 )
| ( X1 = a117
& X0 = a159 )
| ( X1 = a37
& X0 = a159 )
| ( X1 = a25
& X0 = a159 )
| ( X1 = a65
& X0 = a159 )
| ( X1 = a59
& X0 = a159 )
| ( X1 = a81
& X0 = a159 ) ) ) ).
%------ Positive definition of c4_2
fof(lit_def_055,axiom,
! [X0,X1] :
( c4_2(X0,X1)
<=> ( ( X0 != a58
& X0 != a163
& X0 != a48
& X0 != a54
& X0 != a139
& X1 = a40 )
| ( X0 != a58
& X0 != a163
& X0 != a48
& X0 != a26
& X0 != a172
& X1 = a143 )
| ( X0 != a58
& X0 != a163
& X0 != a48
& X0 != a172
& X1 = a98 )
| ( X0 != a58
& X0 != a163
& X0 != a48
& X0 != a54
& X0 != a85
& X0 != a127
& X0 != a172
& X1 = a68 )
| ( X0 != a58
& X0 != a163
& X0 != a48
& X0 != a38
& X0 != a172
& X0 != a159
& X1 = a100 )
| ( X1 = a62
& X0 = a61 )
| ( X1 = a63
& X0 = a61 )
| ( X1 = a32
& X0 = a61 )
| ( X1 = a44
& X0 = a61 )
| ( X1 = a59
& X0 = a61 )
| ( X1 = a81
& X0 = a61 )
| ( X1 = a115
& X0 = a61 )
| ( X1 != a55
& X1 != a53
& X1 != a63
& X1 != a28
& X1 != a77
& X1 != a134
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a59
& X1 != a81
& X1 != a115
& X0 = a61 )
| ( X1 = a55
& X0 = a123 )
| ( X1 = a40
& X0 = a123 )
| ( X1 = a143
& X0 = a123 )
| ( X1 = a37
& X0 = a123 )
| ( X1 = a65
& X0 = a123 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a123 )
| ( X1 = a141
& X0 = a58 )
| ( X1 = a143
& X0 = a58 )
| ( X1 = a25
& X0 = a58 )
| ( X1 = a32
& X0 = a58 )
| ( X1 = a31
& X0 = a58 )
| ( X1 = a141
& X0 = a163 )
| ( X1 = a143
& X0 = a163 )
| ( X1 = a117
& X0 = a163 )
| ( X1 = a98
& X0 = a163 )
| ( X1 = a32
& X0 = a163 )
| ( X1 = a65
& X0 = a163 )
| ( X1 = a101
& X0 = a163 )
| ( X1 = a31
& X0 = a163 )
| ( X1 = a68
& X0 = a163 )
| ( X1 = a81
& X0 = a163 )
| ( X1 = a42
& X0 = a49 )
| ( X1 = a37
& X0 = a49 )
| ( X1 = a45
& X0 = a49 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a49 )
| ( X1 = a77
& X0 = a74 )
| ( X1 = a42
& X0 = a74 )
| ( X1 = a143
& X0 = a74 )
| ( X1 = a76
& X0 = a74 )
| ( X1 = a45
& X0 = a74 )
| ( X1 = a81
& X0 = a74 )
| ( X1 = a115
& X0 = a74 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a75
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a74 )
| ( X1 = a141
& X0 = a48 )
| ( X1 = a116
& X0 = a48 )
| ( X1 = a69
& X0 = a48 )
| ( X1 = a42
& X0 = a48 )
| ( X1 = a143
& X0 = a48 )
| ( X1 = a32
& X0 = a48 )
| ( X1 = a141
& X0 = a54 )
| ( X1 = a42
& X0 = a54 )
| ( X1 = a143
& X0 = a54 )
| ( X1 = a98
& X0 = a54 )
| ( X1 = a28
& X0 = a26 )
| ( X1 = a37
& X0 = a26 )
| ( X1 = a98
& X0 = a26 )
| ( X1 = a32
& X0 = a26 )
| ( X1 = a60
& X0 = a26 )
| ( X1 = a101
& X0 = a26 )
| ( X1 = a68
& X0 = a26 )
| ( X1 = a115
& X0 = a26 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a143
& X1 != a117
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a26 )
| ( X1 = a77
& X0 = a83 )
| ( X1 = a37
& X0 = a83 )
| ( X1 = a25
& X0 = a83 )
| ( X1 = a60
& X0 = a83 )
| ( X1 = a59
& X0 = a83 )
| ( X1 = a115
& X0 = a83 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a84
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a83 )
| ( X1 = a55
& X0 = a38 )
| ( X1 = a141
& X0 = a38 )
| ( X1 = a40
& X0 = a38 )
| ( X1 = a69
& X0 = a38 )
| ( X1 = a42
& X0 = a38 )
| ( X1 = a117
& X0 = a38 )
| ( X1 = a37
& X0 = a38 )
| ( X1 = a32
& X0 = a38 )
| ( X1 = a65
& X0 = a38 )
| ( X1 = a56
& X0 = a38 )
| ( X1 = a60
& X0 = a38 )
| ( X1 = a45
& X0 = a38 )
| ( X1 = a39
& X0 = a38 )
| ( X1 = a31
& X0 = a38 )
| ( X1 = a59
& X0 = a38 )
| ( X1 = a68
& X0 = a38 )
| ( X1 = a115
& X0 = a38 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a117
& X1 != a37
& X1 != a25
& X1 != a65
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a100
& X1 != a115
& X0 = a38 )
| ( X1 = a55
& X0 = a47 )
| ( X1 = a53
& X0 = a47 )
| ( X1 = a42
& X0 = a47 )
| ( X1 = a143
& X0 = a47 )
| ( X1 = a37
& X0 = a47 )
| ( X1 = a45
& X0 = a47 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a117
& X1 != a37
& X1 != a25
& X1 != a65
& X1 != a56
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a47 )
| ( X1 = a55
& X0 = a130 )
| ( X1 = a28
& X0 = a130 )
| ( X1 = a77
& X0 = a130 )
| ( X1 = a42
& X0 = a130 )
| ( X1 = a37
& X0 = a130 )
| ( X1 = a25
& X0 = a130 )
| ( X1 = a32
& X0 = a130 )
| ( X1 = a60
& X0 = a130 )
| ( X1 = a45
& X0 = a130 )
| ( X1 = a31
& X0 = a130 )
| ( X1 = a59
& X0 = a130 )
| ( X1 = a68
& X0 = a130 )
| ( X1 = a115
& X0 = a130 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a130 )
| ( X1 = a28
& X0 = a139 )
| ( X1 = a40
& X0 = a139 )
| ( X1 = a42
& X0 = a139 )
| ( X1 = a45
& X0 = a139 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a40
& X1 != a37
& X1 != a25
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X0 = a139 )
| ( X1 = a28
& X0 = a102 )
| ( X1 = a143
& X0 = a102 )
| ( X1 = a37
& X0 = a102 )
| ( X1 = a32
& X0 = a102 )
| ( X1 = a65
& X0 = a102 )
| ( X1 = a60
& X0 = a102 )
| ( X1 = a115
& X0 = a102 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a37
& X1 != a98
& X1 != a25
& X1 != a65
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a68
& X1 != a115
& X0 = a102 )
| ( X1 = a28
& X0 = a127 )
| ( X1 = a42
& X0 = a127 )
| ( X1 = a56
& X0 = a127 )
| ( X1 = a101
& X0 = a127 )
| ( X1 = a100
& X0 = a127 )
| ( X1 = a148
& X0 = a147 )
| ( X1 = a155
& X0 = a154 )
| ( X1 = a141
& X0 = a172 )
| ( X1 = a40
& X0 = a172 )
| ( X1 = a69
& X0 = a172 )
| ( X1 = a42
& X0 = a172 )
| ( X1 = a143
& X0 = a172 )
| ( X1 = a117
& X0 = a172 )
| ( X1 = a32
& X0 = a172 )
| ( X1 = a65
& X0 = a172 )
| ( X1 = a101
& X0 = a172 )
| ( X1 = a31
& X0 = a172 )
| ( X1 = a44
& X0 = a172 )
| ( X1 = a68
& X0 = a172 )
| ( X1 = a81
& X0 = a172 )
| ( X1 = a28
& X0 = a46 )
| ( X1 = a98
& X0 = a46 )
| ( X1 = a32
& X0 = a46 )
| ( X1 = a101
& X0 = a46 )
| ( X1 = a81
& X0 = a46 )
| ( X1 = a55
& X0 = a51 )
| ( X1 = a69
& X0 = a51 )
| ( X1 = a32
& X0 = a51 )
| ( X1 = a60
& X0 = a51 )
| ( X1 = a31
& X0 = a51 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a37
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a115
& X1 != a52
& X0 = a51 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a117
& X1 != a37
& X1 != a25
& X1 != a65
& X1 != a60
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a100
& X1 != a115
& X0 = a159 ) ) ) ).
%------ Positive definition of c2_2
fof(lit_def_056,axiom,
! [X0,X1] :
( c2_2(X0,X1)
<=> ( ( X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a48
& X0 != a26
& X0 != a83
& X0 != a38
& X0 != a130
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a172
& X0 != a46
& X0 != a159
& X1 = a143 )
| ( X0 != a61
& X0 != a123
& X0 != a163
& X0 != a74
& X0 != a48
& X0 != a26
& X0 != a83
& X0 != a38
& X0 != a130
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a46
& X1 = a134 )
| ( X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a74
& X0 != a48
& X0 != a26
& X0 != a83
& X0 != a38
& X0 != a130
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a172
& X0 != a46
& X0 != a159
& X1 = a101 )
| ( X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a74
& X0 != a48
& X0 != a26
& X0 != a83
& X0 != a38
& X0 != a130
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a172
& X0 != a46
& X0 != a159
& X1 = a31 )
| ( X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a74
& X0 != a48
& X0 != a26
& X0 != a83
& X0 != a38
& X0 != a130
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a172
& X0 != a46
& X0 != a159
& X1 = a81 )
| ( X1 = a59
& X0 = a61 )
| ( X1 = a81
& X0 = a61 )
| ( X1 != a55
& X1 != a62
& X1 != a63
& X1 != a28
& X1 != a69
& X1 != a77
& X1 != a42
& X1 != a134
& X1 != a98
& X1 != a25
& X1 != a32
& X1 != a60
& X1 != a45
& X1 != a44
& X1 != a68
& X0 = a61 )
| ( X1 = a53
& X0 = a123 )
| ( X1 = a77
& X0 = a123 )
| ( X1 = a143
& X0 = a123 )
| ( X1 = a65
& X0 = a123 )
| ( X1 = a101
& X0 = a123 )
| ( X1 = a31
& X0 = a123 )
| ( X1 = a95
& X0 = a94 )
| ( X1 = a55
& X0 = a58 )
| ( X1 = a53
& X0 = a58 )
| ( X1 = a28
& X0 = a58 )
| ( X1 = a40
& X0 = a58 )
| ( X1 = a69
& X0 = a58 )
| ( X1 = a143
& X0 = a58 )
| ( X1 = a117
& X0 = a58 )
| ( X1 = a37
& X0 = a58 )
| ( X1 = a98
& X0 = a58 )
| ( X1 = a32
& X0 = a58 )
| ( X1 = a60
& X0 = a58 )
| ( X1 = a101
& X0 = a58 )
| ( X1 = a45
& X0 = a58 )
| ( X1 = a44
& X0 = a58 )
| ( X1 = a59
& X0 = a58 )
| ( X1 = a68
& X0 = a58 )
| ( X1 = a81
& X0 = a58 )
| ( X1 = a100
& X0 = a58 )
| ( X1 = a115
& X0 = a58 )
| ( X1 != a55
& X1 != a53
& X1 != a28
& X1 != a69
& X1 != a117
& X1 != a37
& X1 != a98
& X1 != a25
& X1 != a32
& X1 != a60
& X1 != a101
& X1 != a45
& X1 != a44
& X1 != a68
& X1 != a81
& X1 != a115
& X0 = a58 )
| ( X1 = a53
& X0 = a163 )
| ( X1 = a28
& X0 = a163 )
| ( X1 = a40
& X0 = a163 )
| ( X1 = a143
& X0 = a163 )
| ( X1 = a65
& X0 = a163 )
| ( X1 = a101
& X0 = a163 )
| ( X1 = a31
& X0 = a163 )
| ( X1 = a55
& X0 = a49 )
| ( X1 = a53
& X0 = a49 )
| ( X1 = a28
& X0 = a49 )
| ( X1 = a25
& X0 = a49 )
| ( X1 = a31
& X0 = a49 )
| ( X1 = a77
& X0 = a74 )
| ( X1 = a143
& X0 = a74 )
| ( X1 = a75
& X0 = a74 )
| ( X1 = a76
& X0 = a74 )
| ( X1 = a31
& X0 = a74 )
| ( X1 = a81
& X0 = a74 )
| ( X1 = a141
& X0 = a48 )
| ( X1 = a69
& X0 = a48 )
| ( X1 = a143
& X0 = a48 )
| ( X1 = a98
& X0 = a48 )
| ( X1 = a115
& X0 = a48 )
| ( X1 = a143
& X0 = a54 )
| ( X1 = a98
& X0 = a54 )
| ( X1 = a65
& X0 = a54 )
| ( X1 = a55
& X0 = a26 )
| ( X1 = a69
& X0 = a26 )
| ( X1 = a77
& X0 = a26 )
| ( X1 = a143
& X0 = a26 )
| ( X1 = a117
& X0 = a26 )
| ( X1 = a98
& X0 = a26 )
| ( X1 = a25
& X0 = a26 )
| ( X1 = a60
& X0 = a26 )
| ( X1 = a101
& X0 = a26 )
| ( X1 = a45
& X0 = a26 )
| ( X1 = a44
& X0 = a26 )
| ( X1 = a59
& X0 = a26 )
| ( X1 = a68
& X0 = a26 )
| ( X1 = a77
& X0 = a83 )
| ( X1 = a84
& X0 = a83 )
| ( X1 = a31
& X0 = a83 )
| ( X1 = a59
& X0 = a83 )
| ( X1 = a88
& X0 = a87 )
| ( X1 = a89
& X0 = a87 )
| ( X1 = a65
& X0 = a38 )
| ( X1 = a143
& X0 = a47 )
| ( X1 = a117
& X0 = a47 )
| ( X1 = a25
& X0 = a47 )
| ( X1 = a65
& X0 = a47 )
| ( X1 = a56
& X0 = a47 )
| ( X1 = a31
& X0 = a47 )
| ( X1 = a115
& X0 = a47 )
| ( X1 = a77
& X0 = a130 )
| ( X1 = a59
& X0 = a130 )
| ( X1 = a65
& X0 = a135 )
| ( X1 = a53
& X0 = a139 )
| ( X1 = a69
& X0 = a139 )
| ( X1 = a77
& X0 = a139 )
| ( X1 = a143
& X0 = a139 )
| ( X1 = a65
& X0 = a139 )
| ( X1 = a31
& X0 = a139 )
| ( X1 = a59
& X0 = a139 )
| ( X1 = a81
& X0 = a139 )
| ( X1 = a115
& X0 = a139 )
| ( X1 = a53
& X0 = a102 )
| ( X1 = a116
& X0 = a102 )
| ( X1 = a69
& X0 = a102 )
| ( X1 = a77
& X0 = a102 )
| ( X1 = a143
& X0 = a102 )
| ( X1 = a65
& X0 = a102 )
| ( X1 = a101
& X0 = a102 )
| ( X1 = a81
& X0 = a102 )
| ( X1 = a65
& X0 = a127 )
| ( X1 = a31
& X0 = a127 )
| ( X1 = a81
& X0 = a127 )
| ( X1 = a148
& X0 = a147 )
| ( X1 = a53
& X0 = a172 )
| ( X1 = a40
& X0 = a172 )
| ( X1 = a77
& X0 = a172 )
| ( X1 = a143
& X0 = a172 )
| ( X1 = a98
& X0 = a172 )
| ( X1 = a65
& X0 = a172 )
| ( X1 = a101
& X0 = a172 )
| ( X1 = a59
& X0 = a172 )
| ( X1 = a81
& X0 = a172 )
| ( X1 = a100
& X0 = a172 )
| ( X1 != a141
& X1 != a53
& X1 != a40
& X1 != a69
& X1 != a42
& X1 != a143
& X1 != a117
& X1 != a98
& X1 != a25
& X1 != a32
& X1 != a60
& X1 != a101
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a59
& X1 != a68
& X1 != a81
& X1 != a100
& X0 = a172 )
| ( X1 = a28
& X0 = a46 )
| ( X1 = a101
& X0 = a46 )
| ( X1 = a81
& X0 = a46 )
| ( X1 = a45
& X0 = a51 )
| ( X1 = a59
& X0 = a51 )
| ( X1 = a115
& X0 = a51 )
| ( X1 = a52
& X0 = a51 )
| ( X1 = a53
& X0 = a159 )
| ( X1 = a69
& X0 = a159 )
| ( X1 = a77
& X0 = a159 )
| ( X1 = a117
& X0 = a159 )
| ( X1 = a98
& X0 = a159 )
| ( X1 = a65
& X0 = a159 )
| ( X1 = a60
& X0 = a159 )
| ( X1 = a101
& X0 = a159 )
| ( X1 = a45
& X0 = a159 )
| ( X1 = a31
& X0 = a159 )
| ( X1 = a44
& X0 = a159 )
| ( X1 = a59
& X0 = a159 )
| ( X1 = a68
& X0 = a159 )
| ( X1 = a100
& X0 = a159 )
| ( X1 != a69
& X1 != a42
& X1 != a37
& X1 != a98
& X1 != a25
& X1 != a60
& X1 != a44
& X1 != a68
& X1 != a81
& X0 = a159 )
| ( X1 != a69
& X1 != a98
& X1 != a25
& X1 != a60
& X1 != a44
& X1 != a68
& ( X1 != a55
| X0 != a61 )
& ( X1 != a62
| X0 != a61 )
& ( X1 != a63
| X0 != a61 )
& ( X1 != a28
| X0 != a61 )
& ( X1 != a42
| X0 != a61 )
& ( X1 != a98
| X0 != a61 )
& ( X1 != a32
| X0 != a61 )
& ( X1 != a60
| X0 != a61 )
& ( X1 != a45
| X0 != a61 )
& ( X1 != a68
| X0 != a61 )
& X0 != a61
& ( X1 != a42
| X0 != a123 )
& X0 != a123
& ( X1 != a25
| X0 != a58 )
& ( X1 != a32
| X0 != a58 )
& ( X1 != a31
| X0 != a58 )
& X0 != a58
& ( X1 != a28
| X0 != a163 )
& ( X1 != a42
| X0 != a163 )
& ( X1 != a98
| X0 != a163 )
& ( X1 != a32
| X0 != a163 )
& ( X1 != a68
| X0 != a163 )
& ( X1 != a81
| X0 != a163 )
& X0 != a163
& ( X1 != a42
| X0 != a49 )
& ( X1 != a42
| X0 != a74 )
& ( X1 != a143
| X0 != a74 )
& ( X1 != a117
| X0 != a74 )
& ( X1 != a75
| X0 != a74 )
& ( X1 != a31
| X0 != a74 )
& X0 != a74
& ( X1 != a116
| X0 != a48 )
& ( X1 != a42
| X0 != a48 )
& ( X1 != a134
| X0 != a48 )
& ( X1 != a32
| X0 != a48 )
& ( X1 != a81
| X0 != a48 )
& X0 != a48
& ( X1 != a141
| X0 != a54 )
& ( X1 != a40
| X0 != a54 )
& ( X1 != a42
| X0 != a54 )
& ( X1 != a143
| X0 != a54 )
& ( X1 != a37
| X0 != a54 )
& ( X1 != a98
| X0 != a54 )
& ( X1 != a65
| X0 != a54 )
& ( X1 != a68
| X0 != a54 )
& ( X1 != a55
| X0 != a26 )
& ( X1 != a28
| X0 != a26 )
& ( X1 != a42
| X0 != a26 )
& ( X1 != a115
| X0 != a26 )
& X0 != a26
& ( X1 != a42
| X0 != a83 )
& ( X1 != a84
| X0 != a83 )
& ( X1 != a31
| X0 != a83 )
& X0 != a83
& ( X1 != a88
| X0 != a87 )
& ( X1 != a141
| X0 != a38 )
& ( X1 != a53
| X0 != a38 )
& ( X1 != a40
| X0 != a38 )
& ( X1 != a69
| X0 != a38 )
& ( X1 != a42
| X0 != a38 )
& ( X1 != a117
| X0 != a38 )
& ( X1 != a25
| X0 != a38 )
& ( X1 != a32
| X0 != a38 )
& ( X1 != a56
| X0 != a38 )
& ( X1 != a44
| X0 != a38 )
& ( X1 != a100
| X0 != a38 )
& X0 != a38
& ( X1 != a28
| X0 != a47 )
& ( X1 != a42
| X0 != a47 )
& ( X1 != a143
| X0 != a47 )
& ( X1 != a117
| X0 != a47 )
& ( X1 != a25
| X0 != a47 )
& ( X1 != a65
| X0 != a47 )
& ( X1 != a56
| X0 != a47 )
& ( X1 != a60
| X0 != a47 )
& ( X1 != a45
| X0 != a47 )
& ( X1 != a31
| X0 != a47 )
& ( X1 != a44
| X0 != a47 )
& ( X1 != a115
| X0 != a47 )
& ( X1 != a68
| X0 != a85 )
& ( X1 != a111
| X0 != a110 )
& ( X1 != a42
| X0 != a130 )
& ( X1 != a32
| X0 != a130 )
& ( X1 != a68
| X0 != a130 )
& X0 != a130
& ( X1 != a37
| X0 != a135 )
& ( X1 != a65
| X0 != a135 )
& ( X1 != a55
| X0 != a139 )
& ( X1 != a40
| X0 != a139 )
& ( X1 != a42
| X0 != a139 )
& ( X1 != a25
| X0 != a139 )
& ( X1 != a60
| X0 != a139 )
& ( X1 != a44
| X0 != a139 )
& ( X1 != a68
| X0 != a139 )
& X0 != a139
& ( X1 != a42
| X0 != a102 )
& ( X1 != a32
| X0 != a102 )
& ( X1 != a65
| X0 != a102 )
& ( X1 != a31
| X0 != a102 )
& X0 != a102
& ( X1 != a42
| X0 != a127 )
& ( X1 != a37
| X0 != a127 )
& ( X1 != a65
| X0 != a127 )
& ( X1 != a68
| X0 != a127 )
& X0 != a127
& ( X1 != a141
| X0 != a172 )
& ( X1 != a53
| X0 != a172 )
& ( X1 != a69
| X0 != a172 )
& ( X1 != a42
| X0 != a172 )
& ( X1 != a143
| X0 != a172 )
& ( X1 != a117
| X0 != a172 )
& ( X1 != a25
| X0 != a172 )
& ( X1 != a32
| X0 != a172 )
& ( X1 != a60
| X0 != a172 )
& ( X1 != a45
| X0 != a172 )
& ( X1 != a31
| X0 != a172 )
& ( X1 != a44
| X0 != a172 )
& ( X1 != a68
| X0 != a172 )
& ( X1 != a81
| X0 != a172 )
& X0 != a172
& ( X1 != a143
| X0 != a46 )
& ( X1 != a134
| X0 != a46 )
& ( X1 != a98
| X0 != a46 )
& ( X1 != a32
| X0 != a46 )
& ( X1 != a31
| X0 != a46 )
& X0 != a46
& ( X1 != a42
| X0 != a51 )
& ( X1 != a32
| X0 != a51 )
& ( X1 != a42
| X0 != a159 )
& ( X1 != a117
| X0 != a159 )
& ( X1 != a37
| X0 != a159 )
& ( X1 != a25
| X0 != a159 )
& ( X1 != a65
| X0 != a159 )
& ( X1 != a44
| X0 != a159 )
& ( X1 != a100
| X0 != a159 )
& X0 != a159 ) ) ) ).
%------ Positive definition of c5_2
fof(lit_def_057,axiom,
! [X0,X1] :
( c5_2(X0,X1)
<=> ( ( X0 != a122
& X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a49
& X0 != a74
& X0 != a132
& X0 != a48
& X0 != a54
& X0 != a96
& X0 != a80
& X0 != a26
& X0 != a29
& X0 != a83
& X0 != a87
& X0 != a90
& X0 != a121
& X0 != a167
& X0 != a38
& X0 != a47
& X0 != a85
& X0 != a130
& X0 != a135
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a147
& X0 != a172
& X0 != a46
& X0 != a51
& X0 != a159
& X1 = a98 )
| ( X1 = a62
& X0 = a61 )
| ( X1 = a63
& X0 = a61 )
| ( X1 = a32
& X0 = a61 )
| ( X1 = a45
& X0 = a61 )
| ( X1 = a25
& X0 = a58 )
| ( X1 = a32
& X0 = a58 )
| ( X1 = a45
& X0 = a58 )
| ( X1 = a68
& X0 = a58 )
| ( X1 != a55
& X1 != a141
& X1 != a53
& X1 != a28
& X1 != a40
& X1 != a69
& X1 != a143
& X1 != a117
& X1 != a37
& X1 != a98
& X1 != a25
& X1 != a60
& X1 != a101
& X1 != a31
& X1 != a44
& X1 != a59
& X1 != a68
& X1 != a81
& X1 != a100
& X1 != a115
& X0 = a58 )
| ( X1 = a53
& X0 = a163 )
| ( X1 = a28
& X0 = a163 )
| ( X1 = a40
& X0 = a163 )
| ( X1 = a98
& X0 = a163 )
| ( X1 = a32
& X0 = a163 )
| ( X1 = a68
& X0 = a163 )
| ( X1 = a141
& X0 = a48 )
| ( X1 = a116
& X0 = a48 )
| ( X1 = a69
& X0 = a48 )
| ( X1 = a42
& X0 = a48 )
| ( X1 = a143
& X0 = a48 )
| ( X1 = a32
& X0 = a48 )
| ( X1 = a65
& X0 = a54 )
| ( X1 = a32
& X0 = a26 )
| ( X1 = a45
& X0 = a26 )
| ( X1 = a100
& X0 = a26 )
| ( X1 = a115
& X0 = a26 )
| ( X1 != a55
& X1 != a28
& X1 != a40
& X1 != a69
& X1 != a77
& X1 != a143
& X1 != a117
& X1 != a134
& X1 != a98
& X1 != a25
& X1 != a60
& X1 != a101
& X1 != a31
& X1 != a44
& X1 != a59
& X1 != a68
& X1 != a81
& X1 != a100
& X1 != a115
& X0 = a26 )
| ( X1 = a88
& X0 = a87 )
| ( X1 = a53
& X0 = a38 )
| ( X1 = a28
& X0 = a38 )
| ( X1 = a40
& X0 = a38 )
| ( X1 = a25
& X0 = a38 )
| ( X1 = a32
& X0 = a38 )
| ( X1 = a65
& X0 = a38 )
| ( X1 = a56
& X0 = a38 )
| ( X1 = a44
& X0 = a38 )
| ( X1 = a100
& X0 = a38 )
| ( X1 = a56
& X0 = a47 )
| ( X1 = a53
& X0 = a130 )
| ( X1 = a32
& X0 = a130 )
| ( X1 = a44
& X0 = a130 )
| ( X1 = a65
& X0 = a135 )
| ( X1 = a40
& X0 = a139 )
| ( X1 = a100
& X0 = a139 )
| ( X1 != a55
& X1 != a53
& X1 != a40
& X1 != a69
& X1 != a77
& X1 != a42
& X1 != a143
& X1 != a117
& X1 != a37
& X1 != a98
& X1 != a25
& X1 != a65
& X1 != a60
& X1 != a101
& X1 != a31
& X1 != a44
& X1 != a59
& X1 != a68
& X1 != a81
& X1 != a100
& X1 != a115
& X0 = a139 )
| ( X1 = a32
& X0 = a102 )
| ( X1 = a141
& X0 = a172 )
| ( X1 = a53
& X0 = a172 )
| ( X1 = a69
& X0 = a172 )
| ( X1 = a42
& X0 = a172 )
| ( X1 = a117
& X0 = a172 )
| ( X1 = a25
& X0 = a172 )
| ( X1 = a32
& X0 = a172 )
| ( X1 = a60
& X0 = a172 )
| ( X1 = a45
& X0 = a172 )
| ( X1 = a31
& X0 = a172 )
| ( X1 = a44
& X0 = a172 )
| ( X1 = a68
& X0 = a172 )
| ( X1 = a81
& X0 = a172 )
| ( X1 = a32
& X0 = a46 )
| ( X1 = a32
& X0 = a51 )
| ( X1 = a45
& X0 = a51 )
| ( X1 = a45
& X0 = a159 )
| ( X1 = a44
& X0 = a159 )
| ( X1 = a100
& X0 = a159 ) ) ) ).
%------ Positive definition of ssSkC6
fof(lit_def_058,axiom,
( ssSkC6
<=> $false ) ).
%------ Positive definition of ssSkC5
fof(lit_def_059,axiom,
( ssSkC5
<=> $false ) ).
%------ Positive definition of ssSkC4
fof(lit_def_060,axiom,
( ssSkC4
<=> $true ) ).
%------ Positive definition of ssSkC3
fof(lit_def_061,axiom,
( ssSkC3
<=> $true ) ).
%------ Positive definition of ssSkC2
fof(lit_def_062,axiom,
( ssSkC2
<=> $true ) ).
%------ Positive definition of ssSkC1
fof(lit_def_063,axiom,
( ssSkC1
<=> $true ) ).
%------ Positive definition of ssSkC0
fof(lit_def_064,axiom,
( ssSkC0
<=> $true ) ).
%------ Positive definition of c1_2
fof(lit_def_065,axiom,
! [X0,X1] :
( c1_2(X0,X1)
<=> ( ( X0 != a122
& X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a49
& X0 != a48
& X0 != a54
& X0 != a96
& X0 != a80
& X0 != a26
& X0 != a29
& X0 != a83
& X0 != a87
& X0 != a121
& X0 != a167
& X0 != a38
& X0 != a47
& X0 != a85
& X0 != a130
& X0 != a135
& X0 != a139
& X0 != a127
& X0 != a147
& X0 != a172
& X0 != a46
& X0 != a51
& X0 != a159
& X1 = a143 )
| ( X0 != a122
& X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a49
& X0 != a48
& X0 != a54
& X0 != a96
& X0 != a80
& X0 != a26
& X0 != a29
& X0 != a83
& X0 != a87
& X0 != a121
& X0 != a167
& X0 != a38
& X0 != a47
& X0 != a85
& X0 != a130
& X0 != a135
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a147
& X0 != a172
& X0 != a46
& X0 != a51
& X0 != a159
& X1 = a98 )
| ( X0 != a122
& X0 != a61
& X0 != a123
& X0 != a58
& X0 != a163
& X0 != a49
& X0 != a54
& X0 != a96
& X0 != a80
& X0 != a26
& X0 != a29
& X0 != a83
& X0 != a87
& X0 != a121
& X0 != a167
& X0 != a38
& X0 != a47
& X0 != a85
& X0 != a130
& X0 != a135
& X0 != a139
& X0 != a102
& X0 != a127
& X0 != a147
& X0 != a172
& X0 != a46
& X0 != a51
& X0 != a159
& X1 = a68 )
| ( X1 = a28
& X0 = a93 )
| ( X1 = a62
& X0 = a61 )
| ( X1 = a63
& X0 = a61 )
| ( X1 = a77
& X0 = a61 )
| ( X1 = a68
& X0 = a61 )
| ( X1 = a40
& X0 = a123 )
| ( X1 = a143
& X0 = a123 )
| ( X1 = a65
& X0 = a123 )
| ( X1 = a141
& X0 = a58 )
| ( X1 = a143
& X0 = a58 )
| ( X1 = a117
& X0 = a58 )
| ( X1 = a98
& X0 = a58 )
| ( X1 = a25
& X0 = a58 )
| ( X1 = a32
& X0 = a58 )
| ( X1 = a31
& X0 = a58 )
| ( X1 = a115
& X0 = a58 )
| ( X1 = a141
& X0 = a163 )
| ( X1 = a53
& X0 = a163 )
| ( X1 = a28
& X0 = a163 )
| ( X1 = a40
& X0 = a163 )
| ( X1 = a143
& X0 = a163 )
| ( X1 = a117
& X0 = a163 )
| ( X1 = a98
& X0 = a163 )
| ( X1 = a32
& X0 = a163 )
| ( X1 = a65
& X0 = a163 )
| ( X1 = a68
& X0 = a163 )
| ( X1 = a81
& X0 = a163 )
| ( X1 = a60
& X0 = a49 )
| ( X1 = a44
& X0 = a49 )
| ( X1 = a68
& X0 = a49 )
| ( X1 = a115
& X0 = a49 )
| ( X1 = a143
& X0 = a74 )
| ( X1 = a117
& X0 = a74 )
| ( X1 = a75
& X0 = a74 )
| ( X1 = a31
& X0 = a74 )
| ( X1 = a117
& X0 = a132 )
| ( X1 = a55
& X0 = a48 )
| ( X1 = a141
& X0 = a48 )
| ( X1 = a116
& X0 = a48 )
| ( X1 = a40
& X0 = a48 )
| ( X1 = a69
& X0 = a48 )
| ( X1 = a42
& X0 = a48 )
| ( X1 = a143
& X0 = a48 )
| ( X1 = a117
& X0 = a48 )
| ( X1 = a25
& X0 = a48 )
| ( X1 = a32
& X0 = a48 )
| ( X1 = a60
& X0 = a48 )
| ( X1 = a101
& X0 = a48 )
| ( X1 = a44
& X0 = a48 )
| ( X1 = a81
& X0 = a48 )
| ( X1 = a115
& X0 = a48 )
| ( X1 != a55
& X1 != a116
& X1 != a28
& X1 != a40
& X1 != a69
& X1 != a134
& X1 != a98
& X1 != a25
& X1 != a60
& X1 != a101
& X1 != a44
& X1 != a81
& X0 = a48 )
| ( X1 = a65
& X0 = a54 )
| ( X1 = a68
& X0 = a54 )
| ( X1 = a143
& X0 = a80 )
| ( X1 = a68
& X0 = a80 )
| ( X1 = a55
& X0 = a26 )
| ( X1 = a143
& X0 = a26 )
| ( X1 = a117
& X0 = a26 )
| ( X1 = a25
& X0 = a26 )
| ( X1 = a45
& X0 = a26 )
| ( X1 = a44
& X0 = a26 )
| ( X1 = a84
& X0 = a83 )
| ( X1 = a31
& X0 = a83 )
| ( X1 = a88
& X0 = a87 )
| ( X1 = a141
& X0 = a38 )
| ( X1 = a40
& X0 = a38 )
| ( X1 = a117
& X0 = a38 )
| ( X1 = a65
& X0 = a38 )
| ( X1 = a56
& X0 = a38 )
| ( X1 = a100
& X0 = a38 )
| ( X1 = a28
& X0 = a47 )
| ( X1 = a40
& X0 = a47 )
| ( X1 = a143
& X0 = a47 )
| ( X1 = a117
& X0 = a47 )
| ( X1 = a25
& X0 = a47 )
| ( X1 = a65
& X0 = a47 )
| ( X1 = a56
& X0 = a47 )
| ( X1 = a60
& X0 = a47 )
| ( X1 = a31
& X0 = a47 )
| ( X1 = a44
& X0 = a47 )
| ( X1 = a115
& X0 = a47 )
| ( X1 = a68
& X0 = a130 )
| ( X1 = a65
& X0 = a135 )
| ( X1 = a116
& X0 = a139 )
| ( X1 = a40
& X0 = a139 )
| ( X1 = a117
& X0 = a139 )
| ( X1 = a65
& X0 = a139 )
| ( X1 = a56
& X0 = a139 )
| ( X1 = a45
& X0 = a139 )
| ( X1 = a100
& X0 = a139 )
| ( X1 != a55
& X1 != a53
& X1 != a116
& X1 != a69
& X1 != a77
& X1 != a42
& X1 != a143
& X1 != a37
& X1 != a98
& X1 != a25
& X1 != a60
& X1 != a101
& X1 != a45
& X1 != a31
& X1 != a44
& X1 != a59
& X1 != a68
& X1 != a81
& X1 != a115
& X0 = a139 )
| ( X1 = a40
& X0 = a102 )
| ( X1 = a143
& X0 = a102 )
| ( X1 = a65
& X0 = a102 )
| ( X1 != a55
& X1 != a53
& X1 != a116
& X1 != a69
& X1 != a98
& X1 != a25
& X1 != a60
& X1 != a31
& X1 != a44
& X1 != a68
& X1 != a81
& X1 != a115
& X0 = a102 )
| ( X1 = a65
& X0 = a127 )
| ( X1 = a68
& X0 = a127 )
| ( X1 = a141
& X0 = a172 )
| ( X1 = a40
& X0 = a172 )
| ( X1 = a69
& X0 = a172 )
| ( X1 = a143
& X0 = a172 )
| ( X1 = a117
& X0 = a172 )
| ( X1 = a32
& X0 = a172 )
| ( X1 = a65
& X0 = a172 )
| ( X1 = a44
& X0 = a172 )
| ( X1 = a68
& X0 = a172 )
| ( X1 = a143
& X0 = a51 )
| ( X1 = a117
& X0 = a51 )
| ( X1 = a45
& X0 = a51 )
| ( X1 = a117
& X0 = a159 )
| ( X1 = a65
& X0 = a159 )
| ( X1 = a45
& X0 = a159 )
| ( X1 = a44
& X0 = a159 )
| ( X1 = a100
& X0 = a159 ) ) ) ).
%------ Positive definition of ssSkC13
fof(lit_def_066,axiom,
( ssSkC13
<=> $true ) ).
%------ Positive definition of ssSkC12
fof(lit_def_067,axiom,
( ssSkC12
<=> $true ) ).
%------ Positive definition of ssSkC17
fof(lit_def_068,axiom,
( ssSkC17
<=> $true ) ).
%------ Positive definition of ssSkC11
fof(lit_def_069,axiom,
( ssSkC11
<=> $false ) ).
%------ Positive definition of ssSkC22
fof(lit_def_070,axiom,
( ssSkC22
<=> $false ) ).
%------ Positive definition of ssSkC33
fof(lit_def_071,axiom,
( ssSkC33
<=> $false ) ).
%------ Positive definition of iPr_def_10
fof(lit_def_072,axiom,
( iPr_def_10
<=> $true ) ).
%------ Positive definition of iPr_def_11
fof(lit_def_073,axiom,
( iPr_def_11
<=> $false ) ).
%------ Positive definition of iPr_def_12
fof(lit_def_074,axiom,
( iPr_def_12
<=> $false ) ).
%------ Positive definition of iPr_def_13
fof(lit_def_075,axiom,
( iPr_def_13
<=> $true ) ).
%------ Positive definition of iPr_def_14
fof(lit_def_076,axiom,
( iPr_def_14
<=> $false ) ).
%------ Positive definition of iPr_def_15
fof(lit_def_077,axiom,
( iPr_def_15
<=> $false ) ).
%------ Positive definition of iPr_def_16
fof(lit_def_078,axiom,
( iPr_def_16
<=> $false ) ).
%------ Positive definition of iPr_def_17
fof(lit_def_079,axiom,
( iPr_def_17
<=> $true ) ).
%------ Positive definition of iPr_def_18
fof(lit_def_080,axiom,
( iPr_def_18
<=> $true ) ).
%------ Positive definition of iPr_def_19
fof(lit_def_081,axiom,
( iPr_def_19
<=> $false ) ).
%------ Positive definition of iPr_def_20
fof(lit_def_082,axiom,
( iPr_def_20
<=> $true ) ).
%------ Positive definition of iPr_def_21
fof(lit_def_083,axiom,
( iPr_def_21
<=> $false ) ).
%------ Positive definition of iPr_def_22
fof(lit_def_084,axiom,
( iPr_def_22
<=> $false ) ).
%------ Positive definition of iPr_def_23
fof(lit_def_085,axiom,
( iPr_def_23
<=> $false ) ).
%------ Positive definition of iPr_def_24
fof(lit_def_086,axiom,
( iPr_def_24
<=> $false ) ).
%------ Positive definition of iPr_def_25
fof(lit_def_087,axiom,
( iPr_def_25
<=> $false ) ).
%------ Positive definition of iPr_def_26
fof(lit_def_088,axiom,
( iPr_def_26
<=> $false ) ).
%------ Positive definition of iPr_def_27
fof(lit_def_089,axiom,
( iPr_def_27
<=> $false ) ).
%------ Positive definition of iPr_def_28
fof(lit_def_090,axiom,
( iPr_def_28
<=> $false ) ).
%------ Positive definition of iPr_def_29
fof(lit_def_091,axiom,
( iPr_def_29
<=> $true ) ).
%------ Positive definition of iPr_def_30
fof(lit_def_092,axiom,
( iPr_def_30
<=> $false ) ).
%------ Positive definition of iPr_def_31
fof(lit_def_093,axiom,
( iPr_def_31
<=> $true ) ).
%------ Positive definition of iPr_def_32
fof(lit_def_094,axiom,
( iPr_def_32
<=> $false ) ).
%------ Positive definition of iPr_def_33
fof(lit_def_095,axiom,
( iPr_def_33
<=> $false ) ).
%------ Positive definition of iPr_def_34
fof(lit_def_096,axiom,
( iPr_def_34
<=> $false ) ).
%------ Positive definition of iPr_def_35
fof(lit_def_097,axiom,
( iPr_def_35
<=> $true ) ).
%------ Positive definition of iPr_def_36
fof(lit_def_098,axiom,
( iPr_def_36
<=> $false ) ).
%------ Positive definition of iPr_def_37
fof(lit_def_099,axiom,
( iPr_def_37
<=> $true ) ).
%------ Positive definition of iPr_def_38
fof(lit_def_100,axiom,
( iPr_def_38
<=> $false ) ).
%------ Positive definition of iPr_def_39
fof(lit_def_101,axiom,
( iPr_def_39
<=> $true ) ).
%------ Positive definition of iPr_def_40
fof(lit_def_102,axiom,
( iPr_def_40
<=> $false ) ).
%------ Positive definition of iPr_def_41
fof(lit_def_103,axiom,
( iPr_def_41
<=> $true ) ).
%------ Positive definition of iPr_def_42
fof(lit_def_104,axiom,
( iPr_def_42
<=> $false ) ).
%------ Positive definition of iPr_def_43
fof(lit_def_105,axiom,
( iPr_def_43
<=> $true ) ).
%------ Positive definition of iPr_def_45
fof(lit_def_106,axiom,
( iPr_def_45
<=> $true ) ).
%------ Positive definition of iPr_def_46
fof(lit_def_107,axiom,
( iPr_def_46
<=> $false ) ).
%------ Positive definition of iPr_def_47
fof(lit_def_108,axiom,
( iPr_def_47
<=> $true ) ).
%------ Positive definition of iPr_def_48
fof(lit_def_109,axiom,
( iPr_def_48
<=> $true ) ).
%------ Positive definition of iPr_def_49
fof(lit_def_110,axiom,
( iPr_def_49
<=> $false ) ).
%------ Positive definition of iPr_def_50
fof(lit_def_111,axiom,
( iPr_def_50
<=> $false ) ).
%------ Positive definition of iPr_def_51
fof(lit_def_112,axiom,
( iPr_def_51
<=> $false ) ).
%------ Positive definition of iPr_def_52
fof(lit_def_113,axiom,
( iPr_def_52
<=> $false ) ).
%------ Positive definition of iPr_def_53
fof(lit_def_114,axiom,
( iPr_def_53
<=> $false ) ).
%------ Positive definition of iPr_def_54
fof(lit_def_115,axiom,
( iPr_def_54
<=> $false ) ).
%------ Positive definition of iPr_def_55
fof(lit_def_116,axiom,
( iPr_def_55
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN519-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.37 % Computer : n013.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Fri Sep 25 01:40:37 UTC 2026
% 0.10/10.37 % CPUTime :
% 0.10/10.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.41 Running EPR theorem proving
% 0.14/10.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/10.42
% 0.14/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.42
% 0.14/10.42 % Detected problem language: tptp
% 0.14/10.43 % Proving...
% 45.85/17.25 % SZS status Started for theBenchmark.p
% 45.85/17.25 % SZS status Satisfiable for theBenchmark.p
% 45.85/17.25
% 45.85/17.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 45.85/17.25
% 45.85/17.25 % ------ iProver source info
% 45.85/17.25
% 45.85/17.25 % git: date: 2026-07-19 20:42:38 +0200
% 45.85/17.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 45.85/17.25 % git: non_committed_changes: false
% 45.85/17.25
% 45.85/17.25 % ------ Parsing...% successful
% 45.85/17.25
% 45.85/17.25
% 45.85/17.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 45.85/17.25 %
% 45.85/17.25
% 45.85/17.25 % ------ Preprocessing... sf_s rm: 21 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 45.85/17.25
% 45.85/17.25 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 45.85/17.25 gs_s sp: 65 0s gs_e snvd_s sp: 0 0s snvd_e
% 45.85/17.25 % ------ Proving...
% 45.85/17.25 % ------ Problem Properties
% 45.85/17.25
% 45.85/17.25 %
% 45.85/17.25 % clauses 410
% 45.85/17.25 % conjectures 335
% 45.85/17.25 % EPR 410
% 45.85/17.25 % Horn 207
% 45.85/17.25 % unary 11
% 45.85/17.25 % binary 162
% 45.85/17.25 % lits 1301
% 45.85/17.25 % lits eq 0
% 45.85/17.25 % fd_pure 0
% 45.85/17.25 % fd_pseudo 0
% 45.85/17.25 % fd_cond 0
% 45.85/17.25 % fd_pseudo_cond 0
% 45.85/17.25 % AC symbols 0
% 45.85/17.25
% 45.85/17.25 % ------ Schedule EPR non Horn non eq is on
% 45.85/17.25
% 45.85/17.25 % ------ no equalities: superposition off
% 45.85/17.25
% 45.85/17.25 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 45.85/17.25
% 45.85/17.25
% 45.85/17.25 % ------
% 45.85/17.25 % Current options:
% 45.85/17.25 % ------
% 45.85/17.25
% 45.85/17.25
% 45.85/17.25 %
% 45.85/17.25
% 45.85/17.25 % ------ Proving...
% 45.85/17.25 %
% 45.85/17.25
% 45.85/17.25 % SZS status Satisfiable for theBenchmark.p
% 45.85/17.25
% 45.85/17.25 ------ Building Model...Done
% 45.85/17.25
% 45.85/17.25 %------ The model is defined over ground terms (initial term algebra).
% 45.85/17.25 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 45.85/17.25 %------ where \phi is a formula over the term algebra.
% 45.85/17.25 %------ If we have equality in the problem then it is also defined as a predicate above,
% 45.85/17.25 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 45.85/17.25 %------ See help for --sat_out_model for different model outputs.
% 45.85/17.25 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 45.85/17.25 %------ where the first argument stands for the sort ($i in the unsorted case)
% 45.85/17.25 % SZS output start Model for theBenchmark.p
% See solution above
% 45.85/17.28
%------------------------------------------------------------------------------