TSTP Solution File: SYN519+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN519+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 03:08:10 EDT 2023
% Result : CounterSatisfiable 14.32s 2.69s
% Output : Model 14.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Negative definition of c5_2
fof(lit_def,axiom,
! [X0,X1] :
( ~ c5_2(X0,X1)
<=> ( ( X0 = a173
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a101
& X1 != a56
& X1 != a55
& X1 != a45
& X1 != a32 )
| ( X0 = a173
& X1 = a174 )
| ( X0 = a173
& X1 = a31 )
| ( X0 = a127
& X1 != a44
& X1 != a32 )
| ( X0 = a127
& X1 = a44 )
| ( X0 = a127
& X1 = a77 )
| ( X0 = a127
& X1 = a65 )
| ( X0 = a38
& X1 != a44
& X1 != a45
& X1 != a32 )
| ( X0 = a38
& X1 = a44 )
| ( X0 = a38
& X1 = a39 )
| ( X0 = a159
& X1 = a143 )
| ( X0 = a159
& X1 = a117 )
| ( X0 = a159
& X1 = a44 )
| ( X0 = a159
& X1 = a31 )
| ( X0 = a159
& X1 = a101 )
| ( X0 = a159
& X1 = a32 )
| ( X0 = a153
& X1 != a44
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a153
& X1 = a143 )
| ( X0 = a153
& X1 = a44 )
| ( X0 = a153
& X1 = a31 )
| ( X0 = a153
& X1 = a32 )
| ( X0 = a146
& X1 != a133
& X1 != a98
& X1 != a44
& X1 != a32 )
| ( X0 = a146
& X1 = a44 )
| ( X0 = a130
& X1 != a44
& X1 != a56
& X1 != a45
& X1 != a32 )
| ( X0 = a130
& X1 = a81 )
| ( X0 = a130
& X1 = a44 )
| ( X0 = a128
& X1 = a44 )
| ( X0 = a125
& X1 != a141
& X1 != a44
& X1 != a42
& X1 != a126
& X1 != a65
& X1 != a32 )
| ( X0 = a122
& X1 = a59 )
| ( X0 = a109
& X1 = a44 )
| ( X0 = a107
& X1 != a44
& X1 != a57
& X1 != a45
& X1 != a32 )
| ( X0 = a107
& X1 = a117 )
| ( X0 = a107
& X1 = a31 )
| ( X0 = a107
& X1 = a59 )
| ( X0 = a102
& X1 != a65
& X1 != a32 )
| ( X0 = a102
& X1 = a117 )
| ( X0 = a102
& X1 = a44 )
| ( X0 = a102
& X1 = a31 )
| ( X0 = a102
& X1 = a101 )
| ( X0 = a102
& X1 = a32 )
| ( X0 = a96
& X1 != a44
& X1 != a32 )
| ( X0 = a96
& X1 = a44 )
| ( X0 = a96
& X1 = a97 )
| ( X0 = a94
& X1 = a95 )
| ( X0 = a93
& X1 = a117 )
| ( X0 = a93
& X1 = a31 )
| ( X0 = a93
& X1 = a106 )
| ( X0 = a93
& X1 = a59 )
| ( X0 = a93
& X1 = a56 )
| ( X0 = a93
& X1 = a55 )
| ( X0 = a93
& X1 = a32 )
| ( X0 = a91
& X1 = a92 )
| ( X0 = a86
& X1 != a117
& X1 != a100
& X1 != a44
& X1 != a65
& X1 != a45
& X1 != a32 )
| ( X0 = a86
& X1 = a117 )
| ( X0 = a86
& X1 = a44 )
| ( X0 = a86
& X1 = a31 )
| ( X0 = a86
& X1 = a32 )
| ( X0 = a85
& X1 != a133
& X1 != a98
& X1 != a45
& X1 != a32 )
| ( X0 = a85
& X1 = a101 )
| ( X0 = a85
& X1 = a77 )
| ( X0 = a85
& X1 = a65 )
| ( X0 = a71
& X1 = a117 )
| ( X0 = a71
& X1 = a60 )
| ( X0 = a71
& X1 = a31 )
| ( X0 = a71
& X1 = a101 )
| ( X0 = a71
& X1 = a55 )
| ( X0 = a71
& X1 = a28 )
| ( X0 = a48
& X1 = a117 )
| ( X0 = a48
& X1 = a60 )
| ( X0 = a48
& X1 = a55 )
| ( X0 = a47
& X1 = a143 )
| ( X0 = a47
& X1 = a117 )
| ( X0 = a47
& X1 = a60 )
| ( X0 = a47
& X1 = a44 )
| ( X0 = a47
& X1 = a31 )
| ( X0 = a47
& X1 = a101 )
| ( X0 = a47
& X1 = a82 )
| ( X0 = a47
& X1 = a65 )
| ( X0 = a47
& X1 = a55 )
| ( X0 = a47
& X1 = a32 )
| ( X0 = a47
& X1 = a28 )
| ( X0 = a41
& X1 != a44
& X1 != a65
& X1 != a32 )
| ( X0 = a41
& X1 = a44 )
| ( X0 = a41
& X1 = a65 )
| ( X0 = a34
& X1 != a117
& X1 != a60
& X1 != a44
& X1 != a82
& X1 != a65
& X1 != a55
& X1 != a45
& X1 != a35
& X1 != a32 )
| ( X0 = a34
& X1 = a117 )
| ( X0 = a34
& X1 = a31 )
| ( X0 = a34
& X1 = a59 )
| ( X0 = a29
& X1 = a143 )
| ( X0 = a29
& X1 = a117 )
| ( X0 = a29
& X1 = a100 )
| ( X0 = a29
& X1 = a60 )
| ( X0 = a29
& X1 = a44 )
| ( X0 = a29
& X1 = a101 )
| ( X0 = a29
& X1 = a82 )
| ( X0 = a29
& X1 = a56 )
| ( X0 = a29
& X1 = a55 )
| ( X0 = a29
& X1 = a30 )
| ( X0 = a29
& X1 = a28 )
| ( X0 = a27
& X1 != a98
& X1 != a44
& X1 != a56
& X1 != a32 )
| ( X0 = a27
& X1 = a44 )
| ( X1 = a117
& X0 != a102
& X0 != a93
& X0 != a86
& X0 != a71
& X0 != a48
& X0 != a47
& X0 != a34
& X0 != a29 )
| ( X1 = a60
& X0 != a173
& X0 != a122
& X0 != a93
& X0 != a71
& X0 != a48
& X0 != a47
& X0 != a34
& X0 != a29 )
| ( X1 = a101
& X0 != a173
& X0 != a93
& X0 != a71
& X0 != a48
& X0 != a47
& X0 != a29 )
| ( X1 = a55
& X0 != a173
& X0 != a93
& X0 != a71
& X0 != a48
& X0 != a34
& X0 != a29 )
| ( X1 = a45
& X0 != a173
& X0 != a38
& X0 != a159
& X0 != a153
& X0 != a130
& X0 != a128
& X0 != a122
& X0 != a109
& X0 != a107
& X0 != a93
& X0 != a86
& X0 != a85
& X0 != a71
& X0 != a48
& X0 != a47
& X0 != a34
& X0 != a29 )
| ( X1 = a28
& X0 != a153
& X0 != a93
& X0 != a71
& X0 != a48
& X0 != a47
& X0 != a29 ) ) ) ).
%------ Positive definition of sP54
fof(lit_def_001,axiom,
( sP54
<=> $true ) ).
%------ Positive definition of c3_2
fof(lit_def_002,axiom,
! [X0,X1] :
( c3_2(X0,X1)
<=> ( ( X0 = a173
& X1 = a44 )
| ( X0 = a173
& X1 = a42 )
| ( X0 = a127
& X1 = a77 )
| ( X0 = a127
& X1 = a65 )
| ( X0 = a127
& X1 = a32 )
| ( X0 = a66
& X1 = a67 )
| ( X0 = a38
& X1 = a39 )
| ( X0 = a38
& X1 = a45 )
| ( X0 = a38
& X1 = a32 )
| ( X0 = a153
& X1 = a44 )
| ( X0 = a153
& X1 = a45 )
| ( X0 = a146
& X1 = a44 )
| ( X0 = a130
& X1 = a45 )
| ( X0 = a125
& X1 = a141 )
| ( X0 = a125
& X1 = a44 )
| ( X0 = a125
& X1 = a42 )
| ( X0 = a125
& X1 = a126 )
| ( X0 = a125
& X1 = a65 )
| ( X0 = a125
& X1 = a59 )
| ( X0 = a122
& X1 = a59 )
| ( X0 = a109
& X1 = a45 )
| ( X0 = a107
& X1 = a44 )
| ( X0 = a107
& X1 = a59 )
| ( X0 = a107
& X1 = a45 )
| ( X0 = a102
& X1 = a117 )
| ( X0 = a102
& X1 = a44 )
| ( X0 = a96
& X1 = a97 )
| ( X0 = a96
& X1 = a32 )
| ( X0 = a93
& X1 != a117
& X1 != a100
& X1 != a44
& X1 != a31
& X1 != a106
& X1 != a101
& X1 != a82
& X1 != a56
& X1 != a55
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a93
& X1 = a117 )
| ( X0 = a93
& X1 = a82 )
| ( X0 = a93
& X1 = a59 )
| ( X0 = a86
& X1 = a117 )
| ( X0 = a85
& X1 = a98 )
| ( X0 = a85
& X1 = a77 )
| ( X0 = a85
& X1 = a65 )
| ( X0 = a71
& X1 = a98 )
| ( X0 = a71
& X1 = a44 )
| ( X0 = a48
& X1 != a117
& X1 != a100
& X1 != a60
& X1 != a106
& X1 != a101
& X1 != a82
& X1 != a56
& X1 != a55
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a48
& X1 = a117 )
| ( X0 = a48
& X1 = a44 )
| ( X0 = a48
& X1 = a42 )
| ( X0 = a41
& X1 = a44 )
| ( X0 = a34
& X1 = a117 )
| ( X0 = a34
& X1 = a59 )
| ( X0 = a29
& X1 != a143
& X1 != a117
& X1 != a100
& X1 != a60
& X1 != a44
& X1 != a101
& X1 != a82
& X1 != a56
& X1 != a55
& X1 != a32
& X1 != a28 )
| ( X0 = a29
& X1 = a59 )
| ( X0 = a29
& X1 = a45 )
| ( X0 = a29
& X1 = a30 )
| ( X0 = a27
& X1 = a98 )
| ( X0 = a27
& X1 = a44 )
| ( X1 = a44
& X0 != a173
& X0 != a38
& X0 != a159
& X0 != a153
& X0 != a146
& X0 != a130
& X0 != a128
& X0 != a125
& X0 != a122
& X0 != a109
& X0 != a107
& X0 != a102
& X0 != a93
& X0 != a86
& X0 != a85
& X0 != a71
& X0 != a47
& X0 != a41
& X0 != a34
& X0 != a29
& X0 != a27 ) ) ) ).
%------ Positive definition of ndr1_1
fof(lit_def_003,axiom,
! [X0] :
( ndr1_1(X0)
<=> $true ) ).
%------ Negative definition of c5_1
fof(lit_def_004,axiom,
! [X0] :
( ~ c5_1(X0)
<=> ( X0 = a173
| X0 = a114
| X0 = a146
| X0 = a130
| X0 = a125
| X0 = a122
| X0 = a121
| X0 = a109
| X0 = a107
| X0 = a93
| X0 = a80
| X0 = a71
| X0 = a70
| X0 = a48
| X0 = a34
| X0 = a29
| X0 = a27 ) ) ).
%------ Negative definition of c2_1
fof(lit_def_005,axiom,
! [X0] :
( ~ c2_1(X0)
<=> ( X0 = a173
| X0 = a146
| X0 = a125
| X0 = a122
| X0 = a107
| X0 = a93
| X0 = a85
| X0 = a71
| X0 = a34
| X0 = a27 ) ) ).
%------ Positive definition of ndr1_0
fof(lit_def_006,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of sP53
fof(lit_def_007,axiom,
( sP53
<=> $false ) ).
%------ Negative definition of c4_2
fof(lit_def_008,axiom,
! [X0,X1] :
( ~ c4_2(X0,X1)
<=> ( ( X0 = a173
& X1 = a31 )
| ( X0 = a173
& X1 = a55 )
| ( X0 = a127
& X1 = a55 )
| ( X0 = a38
& X1 = a28 )
| ( X0 = a159
& X1 = a31 )
| ( X0 = a159
& X1 = a65 )
| ( X0 = a159
& X1 = a55 )
| ( X0 = a159
& X1 = a28 )
| ( X0 = a153
& X1 = a31 )
| ( X0 = a146
& X1 = a44 )
| ( X0 = a146
& X1 = a55 )
| ( X0 = a130
& X1 = a56 )
| ( X0 = a130
& X1 = a45 )
| ( X0 = a130
& X1 = a28 )
| ( X0 = a128
& X1 = a55 )
| ( X0 = a128
& X1 = a28 )
| ( X0 = a125
& X1 = a126 )
| ( X0 = a125
& X1 = a55 )
| ( X0 = a125
& X1 = a28 )
| ( X0 = a122
& X1 != a82
& X1 != a32 )
| ( X0 = a122
& X1 = a82 )
| ( X0 = a122
& X1 = a59 )
| ( X0 = a122
& X1 = a28 )
| ( X0 = a109
& X1 = a55 )
| ( X0 = a109
& X1 = a45 )
| ( X0 = a109
& X1 = a28 )
| ( X0 = a107
& X1 = a117 )
| ( X0 = a107
& X1 = a44 )
| ( X0 = a107
& X1 = a31 )
| ( X0 = a107
& X1 = a55 )
| ( X0 = a107
& X1 = a45 )
| ( X0 = a107
& X1 = a28 )
| ( X0 = a102
& X1 = a31 )
| ( X0 = a102
& X1 = a65 )
| ( X0 = a102
& X1 = a55 )
| ( X0 = a102
& X1 = a28 )
| ( X0 = a94
& X1 = a95 )
| ( X0 = a93
& X1 = a117 )
| ( X0 = a93
& X1 = a100 )
| ( X0 = a93
& X1 = a44 )
| ( X0 = a93
& X1 = a31 )
| ( X0 = a93
& X1 = a106 )
| ( X0 = a93
& X1 = a101 )
| ( X0 = a93
& X1 = a59 )
| ( X0 = a93
& X1 = a56 )
| ( X0 = a93
& X1 = a55 )
| ( X0 = a93
& X1 = a45 )
| ( X0 = a93
& X1 = a32 )
| ( X0 = a93
& X1 = a28 )
| ( X0 = a91
& X1 = a92 )
| ( X0 = a86
& X1 = a31 )
| ( X0 = a86
& X1 = a65 )
| ( X0 = a86
& X1 = a55 )
| ( X0 = a86
& X1 = a28 )
| ( X0 = a85
& X1 = a77 )
| ( X0 = a85
& X1 = a65 )
| ( X0 = a85
& X1 = a55 )
| ( X0 = a71
& X1 != a133
& X1 != a98
& X1 != a44
& X1 != a106
& X1 != a82
& X1 != a32 )
| ( X0 = a71
& X1 = a117 )
| ( X0 = a71
& X1 = a60 )
| ( X0 = a71
& X1 = a31 )
| ( X0 = a71
& X1 = a101 )
| ( X0 = a71
& X1 = a55 )
| ( X0 = a71
& X1 = a28 )
| ( X0 = a48
& X1 = a60 )
| ( X0 = a48
& X1 = a55 )
| ( X0 = a48
& X1 = a45 )
| ( X0 = a48
& X1 = a28 )
| ( X0 = a47
& X1 = a31 )
| ( X0 = a47
& X1 = a45 )
| ( X0 = a41
& X1 = a55 )
| X0 = a34
| ( X0 = a34
& X1 = a117 )
| ( X0 = a34
& X1 = a31 )
| ( X0 = a34
& X1 = a59 )
| ( X0 = a34
& X1 = a35 )
| ( X0 = a34
& X1 = a28 )
| ( X0 = a29
& X1 = a55 )
| ( X0 = a27
& X1 = a55 )
| ( X1 = a60
& X0 != a93
& X0 != a48
& X0 != a47 )
| ( X1 = a44
& X0 != a130
& X0 != a93
& X0 != a71
& X0 != a48
& X0 != a47 )
| ( X1 = a55
& X0 != a173
& X0 != a130
& X0 != a93
& X0 != a48
& X0 != a47 )
| ( X1 = a45
& X0 != a153
& X0 != a125
& X0 != a93
& X0 != a48
& X0 != a47 )
| ( X1 = a28
& X0 != a173
& X0 != a153
& X0 != a93
& X0 != a48
& X0 != a47 ) ) ) ).
%------ Positive definition of c1_2
fof(lit_def_009,axiom,
! [X0,X1] :
( c1_2(X0,X1)
<=> ( ( X0 = a173
& X1 != a117
& X1 != a60
& X1 != a44
& X1 != a106
& X1 != a101
& X1 != a82
& X1 != a55
& X1 != a45
& X1 != a28 )
| ( X0 = a173
& X1 = a143 )
| ( X0 = a173
& X1 = a117 )
| ( X0 = a173
& X1 = a100 )
| ( X0 = a173
& X1 = a44 )
| ( X0 = a173
& X1 = a42 )
| ( X0 = a173
& X1 = a31 )
| ( X0 = a173
& X1 = a65 )
| ( X0 = a173
& X1 = a56 )
| ( X0 = a127
& X1 = a77 )
| ( X0 = a127
& X1 = a65 )
| ( X0 = a167
& X1 = a65 )
| ( X0 = a163
& X1 = a65 )
| ( X0 = a159
& X1 = a143 )
| ( X0 = a159
& X1 = a117 )
| ( X0 = a159
& X1 = a65 )
| ( X0 = a153
& X1 = a143 )
| ( X0 = a153
& X1 = a31 )
| ( X0 = a153
& X1 = a65 )
| ( X0 = a153
& X1 = a28 )
| ( X0 = a146
& X1 = a98 )
| ( X0 = a130
& X1 != a117
& X1 != a81
& X1 != a60
& X1 != a44
& X1 != a106
& X1 != a101
& X1 != a82
& X1 != a55
& X1 != a45
& X1 != a28 )
| ( X0 = a130
& X1 = a143 )
| ( X0 = a130
& X1 = a117 )
| ( X0 = a130
& X1 = a60 )
| ( X0 = a130
& X1 = a82 )
| ( X0 = a130
& X1 = a65 )
| ( X0 = a130
& X1 = a56 )
| ( X0 = a130
& X1 = a28 )
| ( X0 = a128
& X1 = a100 )
| ( X0 = a125
& X1 = a143 )
| ( X0 = a125
& X1 = a141 )
| ( X0 = a125
& X1 = a117 )
| ( X0 = a125
& X1 = a44 )
| ( X0 = a125
& X1 = a42 )
| ( X0 = a125
& X1 = a126 )
| ( X0 = a125
& X1 = a65 )
| ( X0 = a125
& X1 = a59 )
| ( X0 = a109
& X1 = a143 )
| ( X0 = a109
& X1 = a65 )
| ( X0 = a109
& X1 = a56 )
| ( X0 = a107
& X1 = a143 )
| ( X0 = a107
& X1 = a141 )
| ( X0 = a107
& X1 = a117 )
| ( X0 = a107
& X1 = a44 )
| ( X0 = a107
& X1 = a45 )
| ( X0 = a102
& X1 = a117 )
| ( X0 = a102
& X1 = a65 )
| ( X0 = a93
& X1 != a100
& X1 != a60
& X1 != a44
& X1 != a31
& X1 != a106
& X1 != a101
& X1 != a82
& X1 != a56
& X1 != a55
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a93
& X1 = a117 )
| ( X0 = a93
& X1 = a60 )
| ( X0 = a93
& X1 = a82 )
| ( X0 = a93
& X1 = a59 )
| ( X0 = a93
& X1 = a28 )
| ( X0 = a86
& X1 = a117 )
| ( X0 = a86
& X1 = a100 )
| ( X0 = a86
& X1 = a65 )
| ( X0 = a85
& X1 = a98 )
| ( X0 = a85
& X1 = a77 )
| ( X0 = a85
& X1 = a65 )
| ( X0 = a71
& X1 = a98 )
| ( X0 = a71
& X1 = a44 )
| ( X0 = a48
& X1 != a100
& X1 != a60
& X1 != a44
& X1 != a106
& X1 != a101
& X1 != a82
& X1 != a56
& X1 != a55
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a48
& X1 = a117 )
| ( X0 = a48
& X1 = a44 )
| ( X0 = a48
& X1 = a28 )
| ( X0 = a47
& X1 != a117
& X1 != a60
& X1 != a44
& X1 != a101
& X1 != a82
& X1 != a55
& X1 != a45
& X1 != a28 )
| ( X0 = a47
& X1 = a143 )
| ( X0 = a47
& X1 = a117 )
| ( X0 = a47
& X1 = a44 )
| ( X0 = a47
& X1 = a31 )
| ( X0 = a47
& X1 = a65 )
| ( X0 = a47
& X1 = a45 )
| ( X0 = a41
& X1 = a32 )
| ( X0 = a34
& X1 = a117 )
| ( X0 = a29
& X1 = a32 )
| ( X0 = a27
& X1 = a143 )
| ( X0 = a27
& X1 = a98 )
| ( X0 = a27
& X1 = a101 )
| ( X0 = a27
& X1 = a65 )
| ( X0 = a27
& X1 = a56 )
| ( X1 = a65
& X0 != a173
& X0 != a127
& X0 != a114
& X0 != a38
& X0 != a167
& X0 != a163
& X0 != a159
& X0 != a153
& X0 != a146
& X0 != a130
& X0 != a128
& X0 != a125
& X0 != a123
& X0 != a122
& X0 != a121
& X0 != a109
& X0 != a107
& X0 != a102
& X0 != a96
& X0 != a86
& X0 != a85
& X0 != a71
& X0 != a47
& X0 != a46
& X0 != a41
& X0 != a34
& X0 != a33
& X0 != a29
& X0 != a27 ) ) ) ).
%------ Positive definition of c3_1
fof(lit_def_010,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = a173
| X0 = a159
| X0 = a146
| X0 = a128
| X0 = a122
| X0 = a107
| X0 = a102
| X0 = a86
| X0 = a85
| X0 = a71
| X0 = a47
| X0 = a34
| X0 = a27 ) ) ).
%------ Positive definition of sP52
fof(lit_def_011,axiom,
( sP52
<=> $false ) ).
%------ Positive definition of c2_2
fof(lit_def_012,axiom,
! [X0,X1] :
( c2_2(X0,X1)
<=> ( ( X0 = a173
& X1 != a117
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a101
& X1 != a65
& X1 != a56
& X1 != a55
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a173
& X1 = a143 )
| ( X0 = a173
& X1 = a117 )
| ( X0 = a173
& X1 = a31 )
| ( X0 = a173
& X1 = a65 )
| ( X0 = a173
& X1 = a57 )
| ( X0 = a173
& X1 = a28 )
| ( X0 = a127
& X1 = a77 )
| ( X0 = a127
& X1 = a65 )
| ( X0 = a159
& X1 = a143 )
| ( X0 = a159
& X1 = a117 )
| ( X0 = a159
& X1 = a31 )
| ( X0 = a159
& X1 = a101 )
| ( X0 = a159
& X1 = a65 )
| ( X0 = a153
& X1 = a143 )
| ( X0 = a153
& X1 = a31 )
| ( X0 = a146
& X1 = a98 )
| ( X0 = a146
& X1 = a101 )
| ( X0 = a130
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a65
& X1 != a56
& X1 != a55
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a130
& X1 = a143 )
| ( X0 = a130
& X1 = a81 )
| ( X0 = a130
& X1 = a60 )
| ( X0 = a130
& X1 = a77 )
| ( X0 = a130
& X1 = a65 )
| ( X0 = a130
& X1 = a56 )
| ( X0 = a130
& X1 = a28 )
| ( X0 = a125
& X1 != a141
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a65
& X1 != a45
& X1 != a32 )
| ( X0 = a125
& X1 = a143 )
| ( X0 = a125
& X1 = a117 )
| ( X0 = a125
& X1 = a60 )
| ( X0 = a125
& X1 = a126 )
| ( X0 = a125
& X1 = a59 )
| ( X0 = a125
& X1 = a45 )
| ( X0 = a125
& X1 = a32 )
| ( X0 = a122
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a65
& X1 != a55
& X1 != a45
& X1 != a32 )
| ( X0 = a122
& X1 = a101 )
| ( X0 = a122
& X1 = a59 )
| ( X0 = a122
& X1 = a55 )
| ( X0 = a109
& X1 = a143 )
| ( X0 = a109
& X1 = a65 )
| ( X0 = a109
& X1 = a56 )
| ( X0 = a107
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a65
& X1 != a45
& X1 != a32 )
| ( X0 = a107
& X1 = a143 )
| ( X0 = a107
& X1 = a141 )
| ( X0 = a107
& X1 = a117 )
| ( X0 = a107
& X1 = a60 )
| ( X0 = a107
& X1 = a44 )
| ( X0 = a107
& X1 = a42 )
| ( X0 = a107
& X1 = a31 )
| ( X0 = a107
& X1 = a101 )
| ( X0 = a107
& X1 = a65 )
| ( X0 = a107
& X1 = a59 )
| ( X0 = a107
& X1 = a57 )
| ( X0 = a107
& X1 = a55 )
| ( X0 = a107
& X1 = a45 )
| ( X0 = a107
& X1 = a32 )
| ( X0 = a102
& X1 = a31 )
| ( X0 = a102
& X1 = a101 )
| ( X0 = a102
& X1 = a65 )
| ( X0 = a93
& X1 = a117 )
| ( X0 = a93
& X1 = a100 )
| ( X0 = a93
& X1 = a44 )
| ( X0 = a93
& X1 = a31 )
| ( X0 = a93
& X1 = a106 )
| ( X0 = a93
& X1 = a101 )
| ( X0 = a93
& X1 = a59 )
| ( X0 = a93
& X1 = a56 )
| ( X0 = a93
& X1 = a55 )
| ( X0 = a93
& X1 = a45 )
| ( X0 = a93
& X1 = a32 )
| ( X0 = a93
& X1 = a28 )
| ( X0 = a86
& X1 = a31 )
| ( X0 = a86
& X1 = a65 )
| ( X0 = a85
& X1 = a101 )
| ( X0 = a85
& X1 = a77 )
| ( X0 = a85
& X1 = a65 )
| ( X0 = a71
& X1 != a133
& X1 != a98
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a106
& X1 != a82
& X1 != a65
& X1 != a55
& X1 != a45
& X1 != a32
& X1 != a28 )
| ( X0 = a71
& X1 = a31 )
| ( X0 = a71
& X1 = a101 )
| ( X0 = a47
& X1 = a143 )
| ( X0 = a47
& X1 = a44 )
| ( X0 = a47
& X1 = a31 )
| ( X0 = a47
& X1 = a101 )
| ( X0 = a47
& X1 = a65 )
| ( X0 = a47
& X1 = a45 )
| ( X0 = a34
& X1 != a60
& X1 != a44
& X1 != a42
& X1 != a82
& X1 != a65
& X1 != a55
& X1 != a45
& X1 != a32 )
| ( X0 = a34
& X1 = a117 )
| ( X0 = a34
& X1 = a42 )
| ( X0 = a34
& X1 = a31 )
| ( X0 = a34
& X1 = a101 )
| ( X0 = a34
& X1 = a59 )
| ( X0 = a34
& X1 = a35 )
| ( X0 = a29
& X1 = a143 )
| ( X0 = a27
& X1 = a143 )
| ( X0 = a27
& X1 = a101 )
| ( X0 = a27
& X1 = a65 ) ) ) ).
%------ Positive definition of sP51
fof(lit_def_013,axiom,
( sP51
<=> $false ) ).
%------ Negative definition of c4_1
fof(lit_def_014,axiom,
! [X0] :
( ~ c4_1(X0)
<=> ( X0 = a114
| X0 = a167
| X0 = a146
| X0 = a128
| X0 = a125
| X0 = a123
| X0 = a122
| X0 = a121
| X0 = a107
| X0 = a93
| X0 = a91
| X0 = a90
| X0 = a80
| X0 = a71
| X0 = a70
| X0 = a48
| X0 = a41
| X0 = a34
| X0 = a29 ) ) ).
%------ Positive definition of sP50
fof(lit_def_015,axiom,
( sP50
<=> $false ) ).
%------ Positive definition of c1_1
fof(lit_def_016,axiom,
! [X0] :
( c1_1(X0)
<=> ( X0 = a114
| X0 = a153
| X0 = a146
| X0 = a85
| X0 = a71
| X0 = a46
| X0 = a27 ) ) ).
%------ Positive definition of sP49
fof(lit_def_017,axiom,
( sP49
<=> $false ) ).
%------ Positive definition of sP48
fof(lit_def_018,axiom,
( sP48
<=> $false ) ).
%------ Positive definition of sP47
fof(lit_def_019,axiom,
( sP47
<=> $false ) ).
%------ Positive definition of sP46
fof(lit_def_020,axiom,
( sP46
<=> $false ) ).
%------ Positive definition of sP45
fof(lit_def_021,axiom,
( sP45
<=> $false ) ).
%------ Positive definition of sP44
fof(lit_def_022,axiom,
( sP44
<=> $true ) ).
%------ Positive definition of sP43
fof(lit_def_023,axiom,
( sP43
<=> $true ) ).
%------ Positive definition of sP42
fof(lit_def_024,axiom,
( sP42
<=> $false ) ).
%------ Positive definition of sP40
fof(lit_def_025,axiom,
! [X0] :
( sP40(X0)
<=> $false ) ).
%------ Positive definition of sP41
fof(lit_def_026,axiom,
( sP41
<=> $false ) ).
%------ Positive definition of sP39
fof(lit_def_027,axiom,
( sP39
<=> $false ) ).
%------ Positive definition of sP38
fof(lit_def_028,axiom,
( sP38
<=> $true ) ).
%------ Positive definition of sP37
fof(lit_def_029,axiom,
( sP37
<=> $false ) ).
%------ Positive definition of sP36
fof(lit_def_030,axiom,
( sP36
<=> $false ) ).
%------ Positive definition of sP35
fof(lit_def_031,axiom,
( sP35
<=> $true ) ).
%------ Positive definition of sP34
fof(lit_def_032,axiom,
( sP34
<=> $false ) ).
%------ Positive definition of sP33
fof(lit_def_033,axiom,
( sP33
<=> $false ) ).
%------ Positive definition of sP32
fof(lit_def_034,axiom,
( sP32
<=> $false ) ).
%------ Positive definition of sP31
fof(lit_def_035,axiom,
( sP31
<=> $true ) ).
%------ Positive definition of sP30
fof(lit_def_036,axiom,
! [X0] :
( sP30(X0)
<=> $false ) ).
%------ Positive definition of sP29
fof(lit_def_037,axiom,
( sP29
<=> $true ) ).
%------ Positive definition of sP28
fof(lit_def_038,axiom,
( sP28
<=> $false ) ).
%------ Positive definition of sP27
fof(lit_def_039,axiom,
( sP27
<=> $false ) ).
%------ Positive definition of sP26
fof(lit_def_040,axiom,
( sP26
<=> $false ) ).
%------ Positive definition of sP25
fof(lit_def_041,axiom,
( sP25
<=> $false ) ).
%------ Positive definition of sP24
fof(lit_def_042,axiom,
! [X0] :
( sP24(X0)
<=> ( X0 = a173
| X0 = a128
| X0 = a86 ) ) ).
%------ Positive definition of sP23
fof(lit_def_043,axiom,
( sP23
<=> $true ) ).
%------ Positive definition of sP22
fof(lit_def_044,axiom,
( sP22
<=> $false ) ).
%------ Positive definition of sP21
fof(lit_def_045,axiom,
( sP21
<=> $false ) ).
%------ Positive definition of sP20
fof(lit_def_046,axiom,
! [X0] :
( sP20(X0)
<=> X0 = a130 ) ).
%------ Positive definition of sP19
fof(lit_def_047,axiom,
( sP19
<=> $false ) ).
%------ Positive definition of sP18
fof(lit_def_048,axiom,
( sP18
<=> $false ) ).
%------ Positive definition of sP17
fof(lit_def_049,axiom,
( sP17
<=> $false ) ).
%------ Positive definition of sP16
fof(lit_def_050,axiom,
( sP16
<=> $false ) ).
%------ Positive definition of sP14
fof(lit_def_051,axiom,
! [X0] :
( sP14(X0)
<=> $false ) ).
%------ Positive definition of sP15
fof(lit_def_052,axiom,
( sP15
<=> $false ) ).
%------ Positive definition of sP13
fof(lit_def_053,axiom,
( sP13
<=> $true ) ).
%------ Positive definition of sP12
fof(lit_def_054,axiom,
( sP12
<=> $false ) ).
%------ Negative definition of sP11
fof(lit_def_055,axiom,
! [X0] :
( ~ sP11(X0)
<=> ( X0 = a173
| X0 = a130
| X0 = a125
| X0 = a122
| X0 = a107
| X0 = a93
| X0 = a47
| X0 = a34 ) ) ).
%------ Negative definition of sP10
fof(lit_def_056,axiom,
! [X0] :
( ~ sP10(X0)
<=> ( X0 = a38
| X0 = a159
| X0 = a130
| X0 = a128
| X0 = a122
| X0 = a109
| X0 = a107
| X0 = a93
| X0 = a86
| X0 = a85
| X0 = a71
| X0 = a48
| X0 = a47
| X0 = a34
| X0 = a29 ) ) ).
%------ Positive definition of sP9
fof(lit_def_057,axiom,
( sP9
<=> $true ) ).
%------ Positive definition of sP8
fof(lit_def_058,axiom,
( sP8
<=> $false ) ).
%------ Positive definition of sP7
fof(lit_def_059,axiom,
( sP7
<=> $true ) ).
%------ Positive definition of sP6
fof(lit_def_060,axiom,
! [X0] :
( sP6(X0)
<=> ( X0 = a173
| X0 = a159
| X0 = a153
| X0 = a107
| X0 = a102
| X0 = a93
| X0 = a86
| X0 = a71
| X0 = a47
| X0 = a34 ) ) ).
%------ Positive definition of sP5
fof(lit_def_061,axiom,
( sP5
<=> $false ) ).
%------ Positive definition of sP4
fof(lit_def_062,axiom,
( sP4
<=> $false ) ).
%------ Positive definition of sP3
fof(lit_def_063,axiom,
! [X0] :
( sP3(X0)
<=> $false ) ).
%------ Positive definition of sP2
fof(lit_def_064,axiom,
! [X0] :
( sP2(X0)
<=> $false ) ).
%------ Positive definition of sP1
fof(lit_def_065,axiom,
( sP1
<=> $false ) ).
%------ Positive definition of sP0
fof(lit_def_066,axiom,
( sP0
<=> $false ) ).
%------ Positive definition of c5_0
fof(lit_def_067,axiom,
( c5_0
<=> $true ) ).
%------ Positive definition of c2_0
fof(lit_def_068,axiom,
( c2_0
<=> $true ) ).
%------ Positive definition of c3_0
fof(lit_def_069,axiom,
( c3_0
<=> $false ) ).
%------ Positive definition of c4_0
fof(lit_def_070,axiom,
( c4_0
<=> $true ) ).
%------ Positive definition of sP0_iProver_split
fof(lit_def_071,axiom,
( sP0_iProver_split
<=> $false ) ).
%------ Positive definition of sP1_iProver_split
fof(lit_def_072,axiom,
( sP1_iProver_split
<=> $false ) ).
%------ Positive definition of sP2_iProver_split
fof(lit_def_073,axiom,
( sP2_iProver_split
<=> $true ) ).
%------ Positive definition of sP3_iProver_split
fof(lit_def_074,axiom,
( sP3_iProver_split
<=> $false ) ).
%------ Positive definition of sP4_iProver_split
fof(lit_def_075,axiom,
( sP4_iProver_split
<=> $true ) ).
%------ Positive definition of sP5_iProver_split
fof(lit_def_076,axiom,
( sP5_iProver_split
<=> $true ) ).
%------ Positive definition of sP6_iProver_split
fof(lit_def_077,axiom,
( sP6_iProver_split
<=> $false ) ).
%------ Positive definition of sP7_iProver_split
fof(lit_def_078,axiom,
( sP7_iProver_split
<=> $true ) ).
%------ Positive definition of sP8_iProver_split
fof(lit_def_079,axiom,
( sP8_iProver_split
<=> $true ) ).
%------ Positive definition of sP9_iProver_split
fof(lit_def_080,axiom,
( sP9_iProver_split
<=> $true ) ).
%------ Positive definition of sP10_iProver_split
fof(lit_def_081,axiom,
( sP10_iProver_split
<=> $true ) ).
%------ Positive definition of sP11_iProver_split
fof(lit_def_082,axiom,
( sP11_iProver_split
<=> $false ) ).
%------ Positive definition of sP12_iProver_split
fof(lit_def_083,axiom,
( sP12_iProver_split
<=> $false ) ).
%------ Positive definition of sP13_iProver_split
fof(lit_def_084,axiom,
( sP13_iProver_split
<=> $false ) ).
%------ Positive definition of sP14_iProver_split
fof(lit_def_085,axiom,
( sP14_iProver_split
<=> $false ) ).
%------ Positive definition of sP15_iProver_split
fof(lit_def_086,axiom,
( sP15_iProver_split
<=> $false ) ).
%------ Positive definition of sP16_iProver_split
fof(lit_def_087,axiom,
( sP16_iProver_split
<=> $false ) ).
%------ Positive definition of sP17_iProver_split
fof(lit_def_088,axiom,
( sP17_iProver_split
<=> $true ) ).
%------ Positive definition of sP18_iProver_split
fof(lit_def_089,axiom,
( sP18_iProver_split
<=> $false ) ).
%------ Positive definition of sP19_iProver_split
fof(lit_def_090,axiom,
( sP19_iProver_split
<=> $false ) ).
%------ Positive definition of sP20_iProver_split
fof(lit_def_091,axiom,
( sP20_iProver_split
<=> $true ) ).
%------ Positive definition of sP21_iProver_split
fof(lit_def_092,axiom,
( sP21_iProver_split
<=> $false ) ).
%------ Positive definition of sP22_iProver_split
fof(lit_def_093,axiom,
( sP22_iProver_split
<=> $true ) ).
%------ Positive definition of sP23_iProver_split
fof(lit_def_094,axiom,
( sP23_iProver_split
<=> $false ) ).
%------ Positive definition of sP24_iProver_split
fof(lit_def_095,axiom,
( sP24_iProver_split
<=> $true ) ).
%------ Positive definition of sP25_iProver_split
fof(lit_def_096,axiom,
( sP25_iProver_split
<=> $false ) ).
%------ Positive definition of sP26_iProver_split
fof(lit_def_097,axiom,
( sP26_iProver_split
<=> $false ) ).
%------ Positive definition of sP27_iProver_split
fof(lit_def_098,axiom,
( sP27_iProver_split
<=> $false ) ).
%------ Positive definition of sP28_iProver_split
fof(lit_def_099,axiom,
( sP28_iProver_split
<=> $false ) ).
%------ Positive definition of sP29_iProver_split
fof(lit_def_100,axiom,
( sP29_iProver_split
<=> $true ) ).
%------ Positive definition of sP30_iProver_split
fof(lit_def_101,axiom,
( sP30_iProver_split
<=> $true ) ).
%------ Positive definition of sP31_iProver_split
fof(lit_def_102,axiom,
( sP31_iProver_split
<=> $false ) ).
%------ Positive definition of sP32_iProver_split
fof(lit_def_103,axiom,
( sP32_iProver_split
<=> $true ) ).
%------ Positive definition of sP33_iProver_split
fof(lit_def_104,axiom,
( sP33_iProver_split
<=> $false ) ).
%------ Positive definition of sP34_iProver_split
fof(lit_def_105,axiom,
( sP34_iProver_split
<=> $false ) ).
%------ Positive definition of sP35_iProver_split
fof(lit_def_106,axiom,
( sP35_iProver_split
<=> $false ) ).
%------ Positive definition of sP36_iProver_split
fof(lit_def_107,axiom,
( sP36_iProver_split
<=> $true ) ).
%------ Positive definition of sP37_iProver_split
fof(lit_def_108,axiom,
( sP37_iProver_split
<=> $true ) ).
%------ Positive definition of sP38_iProver_split
fof(lit_def_109,axiom,
( sP38_iProver_split
<=> $false ) ).
%------ Positive definition of sP39_iProver_split
fof(lit_def_110,axiom,
( sP39_iProver_split
<=> $false ) ).
%------ Positive definition of sP40_iProver_split
fof(lit_def_111,axiom,
( sP40_iProver_split
<=> $true ) ).
%------ Positive definition of sP41_iProver_split
fof(lit_def_112,axiom,
( sP41_iProver_split
<=> $false ) ).
%------ Positive definition of sP42_iProver_split
fof(lit_def_113,axiom,
( sP42_iProver_split
<=> $false ) ).
%------ Positive definition of sP43_iProver_split
fof(lit_def_114,axiom,
( sP43_iProver_split
<=> $true ) ).
%------ Positive definition of sP44_iProver_split
fof(lit_def_115,axiom,
( sP44_iProver_split
<=> $false ) ).
%------ Positive definition of sP45_iProver_split
fof(lit_def_116,axiom,
( sP45_iProver_split
<=> $false ) ).
%------ Positive definition of sP46_iProver_split
fof(lit_def_117,axiom,
( sP46_iProver_split
<=> $false ) ).
%------ Positive definition of sP47_iProver_split
fof(lit_def_118,axiom,
( sP47_iProver_split
<=> $false ) ).
%------ Positive definition of sP48_iProver_split
fof(lit_def_119,axiom,
( sP48_iProver_split
<=> $false ) ).
%------ Positive definition of sP49_iProver_split
fof(lit_def_120,axiom,
( sP49_iProver_split
<=> $false ) ).
%------ Positive definition of sP50_iProver_split
fof(lit_def_121,axiom,
( sP50_iProver_split
<=> $true ) ).
%------ Positive definition of sP51_iProver_split
fof(lit_def_122,axiom,
( sP51_iProver_split
<=> $false ) ).
%------ Positive definition of sP52_iProver_split
fof(lit_def_123,axiom,
( sP52_iProver_split
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN519+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.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 19:38:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.32/2.69 % SZS status Started for theBenchmark.p
% 14.32/2.69 % SZS status CounterSatisfiable for theBenchmark.p
% 14.32/2.69
% 14.32/2.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 14.32/2.69
% 14.32/2.69 ------ iProver source info
% 14.32/2.69
% 14.32/2.69 git: date: 2023-05-31 18:12:56 +0000
% 14.32/2.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 14.32/2.69 git: non_committed_changes: false
% 14.32/2.69 git: last_make_outside_of_git: false
% 14.32/2.69
% 14.32/2.69 ------ Parsing...
% 14.32/2.69 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 14.32/2.69
% 14.32/2.69
% 14.32/2.69 ------ Preprocessing... sf_s rm: 26 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 14.32/2.69
% 14.32/2.69 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 14.32/2.69 gs_s sp: 74 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.32/2.69 ------ Proving...
% 14.32/2.69 ------ Problem Properties
% 14.32/2.69
% 14.32/2.69
% 14.32/2.69 clauses 417
% 14.32/2.69 conjectures 161
% 14.32/2.69 EPR 417
% 14.32/2.69 Horn 238
% 14.32/2.69 unary 11
% 14.32/2.69 binary 196
% 14.32/2.69 lits 1261
% 14.32/2.69 lits eq 0
% 14.32/2.69 fd_pure 0
% 14.32/2.69 fd_pseudo 0
% 14.32/2.69 fd_cond 0
% 14.32/2.69 fd_pseudo_cond 0
% 14.32/2.69 AC symbols 0
% 14.32/2.69
% 14.32/2.69 ------ Schedule EPR non Horn non eq is on
% 14.32/2.69
% 14.32/2.69 ------ no equalities: superposition off
% 14.32/2.69
% 14.32/2.69 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 14.32/2.69
% 14.32/2.69
% 14.32/2.69 ------
% 14.32/2.69 Current options:
% 14.32/2.69 ------
% 14.32/2.69
% 14.32/2.69
% 14.32/2.69
% 14.32/2.69
% 14.32/2.69 ------ Proving...
% 14.32/2.69
% 14.32/2.69
% 14.32/2.69 % SZS status CounterSatisfiable for theBenchmark.p
% 14.32/2.69
% 14.32/2.69 ------ Building Model...Done
% 14.32/2.69
% 14.32/2.69 %------ The model is defined over ground terms (initial term algebra).
% 14.32/2.69 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 14.32/2.69 %------ where \phi is a formula over the term algebra.
% 14.32/2.69 %------ If we have equality in the problem then it is also defined as a predicate above,
% 14.32/2.69 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 14.32/2.69 %------ See help for --sat_out_model for different model outputs.
% 14.32/2.69 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 14.32/2.69 %------ where the first argument stands for the sort ($i in the unsorted case)
% 14.32/2.69 % SZS output start Model for theBenchmark.p
% See solution above
% 14.32/2.70
%------------------------------------------------------------------------------