%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN453-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 03:40:17 PM UTC 2026
% Result : Satisfiable 7.24s 1.72s
% Output : Model 7.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of hskp70
fof(lit_def,axiom,
( hskp70
<=> $false ) ).
%------ Positive definition of ndr1_0
fof(lit_def_001,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of hskp68
fof(lit_def_002,axiom,
( hskp68
<=> $false ) ).
%------ Positive definition of hskp67
fof(lit_def_003,axiom,
( hskp67
<=> $true ) ).
%------ Positive definition of hskp66
fof(lit_def_004,axiom,
( hskp66
<=> $false ) ).
%------ Positive definition of hskp65
fof(lit_def_005,axiom,
( hskp65
<=> $true ) ).
%------ Positive definition of hskp64
fof(lit_def_006,axiom,
( hskp64
<=> $false ) ).
%------ Positive definition of hskp63
fof(lit_def_007,axiom,
( hskp63
<=> $true ) ).
%------ Positive definition of hskp62
fof(lit_def_008,axiom,
( hskp62
<=> $false ) ).
%------ Positive definition of hskp61
fof(lit_def_009,axiom,
( hskp61
<=> $true ) ).
%------ Positive definition of hskp60
fof(lit_def_010,axiom,
( hskp60
<=> $false ) ).
%------ Positive definition of hskp59
fof(lit_def_011,axiom,
( hskp59
<=> $true ) ).
%------ Positive definition of hskp56
fof(lit_def_012,axiom,
( hskp56
<=> $false ) ).
%------ Positive definition of hskp55
fof(lit_def_013,axiom,
( hskp55
<=> $false ) ).
%------ Positive definition of hskp54
fof(lit_def_014,axiom,
( hskp54
<=> $true ) ).
%------ Positive definition of hskp52
fof(lit_def_015,axiom,
( hskp52
<=> $false ) ).
%------ Positive definition of hskp51
fof(lit_def_016,axiom,
( hskp51
<=> $true ) ).
%------ Positive definition of hskp49
fof(lit_def_017,axiom,
( hskp49
<=> $true ) ).
%------ Positive definition of hskp48
fof(lit_def_018,axiom,
( hskp48
<=> $false ) ).
%------ Positive definition of hskp47
fof(lit_def_019,axiom,
( hskp47
<=> $true ) ).
%------ Positive definition of hskp46
fof(lit_def_020,axiom,
( hskp46
<=> $true ) ).
%------ Positive definition of hskp44
fof(lit_def_021,axiom,
( hskp44
<=> $true ) ).
%------ Positive definition of hskp43
fof(lit_def_022,axiom,
( hskp43
<=> $true ) ).
%------ Positive definition of hskp42
fof(lit_def_023,axiom,
( hskp42
<=> $false ) ).
%------ Positive definition of hskp41
fof(lit_def_024,axiom,
( hskp41
<=> $false ) ).
%------ Positive definition of hskp40
fof(lit_def_025,axiom,
( hskp40
<=> $true ) ).
%------ Positive definition of hskp39
fof(lit_def_026,axiom,
( hskp39
<=> $false ) ).
%------ Positive definition of hskp38
fof(lit_def_027,axiom,
( hskp38
<=> $true ) ).
%------ Positive definition of hskp37
fof(lit_def_028,axiom,
( hskp37
<=> $true ) ).
%------ Positive definition of hskp36
fof(lit_def_029,axiom,
( hskp36
<=> $false ) ).
%------ Positive definition of hskp35
fof(lit_def_030,axiom,
( hskp35
<=> $false ) ).
%------ Positive definition of hskp34
fof(lit_def_031,axiom,
( hskp34
<=> $true ) ).
%------ Positive definition of hskp33
fof(lit_def_032,axiom,
( hskp33
<=> $true ) ).
%------ Positive definition of hskp32
fof(lit_def_033,axiom,
( hskp32
<=> $false ) ).
%------ Positive definition of hskp31
fof(lit_def_034,axiom,
( hskp31
<=> $false ) ).
%------ Positive definition of hskp30
fof(lit_def_035,axiom,
( hskp30
<=> $false ) ).
%------ Positive definition of hskp29
fof(lit_def_036,axiom,
( hskp29
<=> $true ) ).
%------ Positive definition of hskp28
fof(lit_def_037,axiom,
( hskp28
<=> $false ) ).
%------ Positive definition of hskp27
fof(lit_def_038,axiom,
( hskp27
<=> $false ) ).
%------ Positive definition of hskp25
fof(lit_def_039,axiom,
( hskp25
<=> $false ) ).
%------ Positive definition of hskp24
fof(lit_def_040,axiom,
( hskp24
<=> $false ) ).
%------ Positive definition of hskp23
fof(lit_def_041,axiom,
( hskp23
<=> $false ) ).
%------ Positive definition of hskp22
fof(lit_def_042,axiom,
( hskp22
<=> $false ) ).
%------ Positive definition of hskp21
fof(lit_def_043,axiom,
( hskp21
<=> $true ) ).
%------ Positive definition of hskp20
fof(lit_def_044,axiom,
( hskp20
<=> $true ) ).
%------ Positive definition of hskp18
fof(lit_def_045,axiom,
( hskp18
<=> $true ) ).
%------ Positive definition of hskp17
fof(lit_def_046,axiom,
( hskp17
<=> $false ) ).
%------ Positive definition of hskp16
fof(lit_def_047,axiom,
( hskp16
<=> $true ) ).
%------ Positive definition of hskp15
fof(lit_def_048,axiom,
( hskp15
<=> $false ) ).
%------ Positive definition of hskp14
fof(lit_def_049,axiom,
( hskp14
<=> $true ) ).
%------ Positive definition of hskp13
fof(lit_def_050,axiom,
( hskp13
<=> $false ) ).
%------ Positive definition of hskp12
fof(lit_def_051,axiom,
( hskp12
<=> $false ) ).
%------ Positive definition of hskp11
fof(lit_def_052,axiom,
( hskp11
<=> $false ) ).
%------ Positive definition of hskp10
fof(lit_def_053,axiom,
( hskp10
<=> $true ) ).
%------ Positive definition of hskp9
fof(lit_def_054,axiom,
( hskp9
<=> $false ) ).
%------ Positive definition of hskp8
fof(lit_def_055,axiom,
( hskp8
<=> $false ) ).
%------ Positive definition of hskp7
fof(lit_def_056,axiom,
( hskp7
<=> $false ) ).
%------ Positive definition of hskp6
fof(lit_def_057,axiom,
( hskp6
<=> $true ) ).
%------ Positive definition of hskp5
fof(lit_def_058,axiom,
( hskp5
<=> $false ) ).
%------ Positive definition of hskp4
fof(lit_def_059,axiom,
( hskp4
<=> $false ) ).
%------ Positive definition of hskp3
fof(lit_def_060,axiom,
( hskp3
<=> $false ) ).
%------ Positive definition of hskp2
fof(lit_def_061,axiom,
( hskp2
<=> $false ) ).
%------ Positive definition of hskp1
fof(lit_def_062,axiom,
( hskp1
<=> $true ) ).
%------ Positive definition of hskp0
fof(lit_def_063,axiom,
( hskp0
<=> $true ) ).
%------ Positive definition of c2_1
fof(lit_def_064,axiom,
! [X0] :
( c2_1(X0)
<=> ( X0 = a2013
| X0 = a2014
| X0 = a2019
| X0 = a2031
| X0 = a2034
| X0 = a2050
| X0 = a2080
| X0 = a1994
| X0 = a1999
| X0 = a2000
| X0 = a2009
| X0 = a2011
| X0 = a2015
| X0 = a2016
| X0 = a2020
| X0 = a2023
| X0 = a2041
| X0 = a2044
| X0 = a2057
| X0 = a2069
| X0 = a2079
| X0 = a1993
| X0 = a1995
| X0 = a1996
| X0 = a1997
| X0 = a2002
| X0 = a2004
| X0 = a2005
| X0 = a2007
| X0 = a2010
| X0 = a2017
| X0 = a2018
| X0 = a2026
| X0 = a2029
| X0 = a2030
| X0 = a2037
| X0 = a2048
| X0 = a2051
| X0 = a2052
| X0 = a2054
| X0 = a2058
| X0 = a2059
| X0 = a2061
| X0 = a2070
| X0 = a2078
| ( X0 != a2013
& X0 != a2014
& X0 != a2019
& X0 != a2031
& X0 != a2034
& X0 != a2050
& X0 != a2062
& X0 != a2080
& X0 != a2081
& X0 != a2083
& X0 != a1994
& X0 != a1998
& X0 != a1999
& X0 != a2000
& X0 != a2006
& X0 != a2011
& X0 != a2015
& X0 != a2020
& X0 != a2032
& X0 != a2036
& X0 != a2041
& X0 != a2068
& X0 != a1995
& X0 != a1997
& X0 != a2002
& X0 != a2003
& X0 != a2004
& X0 != a2007
& X0 != a2025
& X0 != a2027
& X0 != a2028
& X0 != a2029
& X0 != a2046
& X0 != a2047
& X0 != a2051
& X0 != a2053
& X0 != a2054
& X0 != a2058
& X0 != a2059
& X0 != a2061
& X0 != a2067 ) ) ) ).
%------ Positive definition of c0_1
fof(lit_def_065,axiom,
! [X0] :
( c0_1(X0)
<=> ( X0 = a2013
| X0 = a2014
| X0 = a2019
| X0 = a2031
| X0 = a2050
| X0 = a2062
| X0 = a2081
| X0 = a2083
| X0 = a1994
| X0 = a1998
| X0 = a1999
| X0 = a2006
| X0 = a2011
| X0 = a2023
| X0 = a2032
| X0 = a2036
| X0 = a2068
| X0 = a1993
| X0 = a1995
| X0 = a1997
| X0 = a2003
| X0 = a2005
| X0 = a2010
| X0 = a2018
| X0 = a2025
| X0 = a2026
| X0 = a2027
| X0 = a2028
| X0 = a2046
| X0 = a2047
| X0 = a2048
| X0 = a2052
| X0 = a2053
| X0 = a2058
| X0 = a2059
| X0 = a2063
| X0 = a2067
| ( X0 != a2013
& X0 != a2014
& X0 != a2019
& X0 != a2031
& X0 != a2034
& X0 != a2050
& X0 != a2062
& X0 != a2080
& X0 != a2081
& X0 != a2083
& X0 != a1994
& X0 != a1999
& X0 != a2000
& X0 != a2006
& X0 != a2009
& X0 != a2011
& X0 != a2015
& X0 != a2016
& X0 != a2020
& X0 != a2023
& X0 != a2032
& X0 != a2041
& X0 != a2044
& X0 != a2057
& X0 != a2068
& X0 != a2069
& X0 != a2079
& X0 != a1995
& X0 != a1996
& X0 != a1997
& X0 != a2002
& X0 != a2003
& X0 != a2004
& X0 != a2007
& X0 != a2010
& X0 != a2017
& X0 != a2026
& X0 != a2027
& X0 != a2029
& X0 != a2030
& X0 != a2037
& X0 != a2046
& X0 != a2047
& X0 != a2051
& X0 != a2053
& X0 != a2054
& X0 != a2058
& X0 != a2059
& X0 != a2061
& X0 != a2067
& X0 != a2070
& X0 != a2078 ) ) ) ).
%------ Positive definition of c3_1
fof(lit_def_066,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = a2034
| X0 = a2062
| X0 = a2080
| X0 = a2081
| X0 = a2083
| X0 = a1998
| X0 = a2000
| X0 = a2006
| X0 = a2009
| X0 = a2015
| X0 = a2016
| X0 = a2020
| X0 = a2032
| X0 = a2036
| X0 = a2041
| X0 = a2044
| X0 = a2057
| X0 = a2068
| X0 = a2069
| X0 = a2079
| X0 = a1996
| X0 = a2002
| X0 = a2003
| X0 = a2004
| X0 = a2007
| X0 = a2017
| X0 = a2025
| X0 = a2027
| X0 = a2028
| X0 = a2029
| X0 = a2030
| X0 = a2037
| X0 = a2046
| X0 = a2047
| X0 = a2051
| X0 = a2053
| X0 = a2054
| X0 = a2061
| X0 = a2067
| X0 = a2070
| X0 = a2078 ) ) ).
%------ Positive definition of c1_1
fof(lit_def_067,axiom,
! [X0] :
( c1_1(X0)
<=> ( X0 = a2031
| X0 = a2050
| X0 = a2080
| X0 = a2011
| X0 = a2015
| X0 = a2020
| X0 = a2023
| X0 = a2041
| X0 = a2069
| X0 = a1993
| X0 = a1995
| X0 = a1997
| X0 = a2002
| X0 = a2007
| X0 = a2010
| X0 = a2026
| X0 = a2029
| X0 = a2030
| X0 = a2037
| X0 = a2054
| X0 = a2058
| X0 = a2059
| X0 = a2061
| X0 = a2063
| ( X0 != a2013
& X0 != a2014
& X0 != a2019
& X0 != a2031
& X0 != a2034
& X0 != a2050
& X0 != a2062
& X0 != a2080
& X0 != a2081
& X0 != a2083
& X0 != a1994
& X0 != a1998
& X0 != a1999
& X0 != a2000
& X0 != a2006
& X0 != a2009
& X0 != a2011
& X0 != a2015
& X0 != a2016
& X0 != a2020
& X0 != a2023
& X0 != a2032
& X0 != a2036
& X0 != a2041
& X0 != a2044
& X0 != a2057
& X0 != a2068
& X0 != a2069
& X0 != a2079
& X0 != a1995
& X0 != a1996
& X0 != a1997
& X0 != a2002
& X0 != a2003
& X0 != a2004
& X0 != a2005
& X0 != a2007
& X0 != a2010
& X0 != a2017
& X0 != a2018
& X0 != a2025
& X0 != a2026
& X0 != a2027
& X0 != a2028
& X0 != a2029
& X0 != a2037
& X0 != a2046
& X0 != a2047
& X0 != a2048
& X0 != a2051
& X0 != a2052
& X0 != a2053
& X0 != a2054
& X0 != a2058
& X0 != a2059
& X0 != a2061
& X0 != a2067
& X0 != a2070
& X0 != a2078 ) ) ) ).
%------ Positive definition of iPr_def_10
fof(lit_def_068,axiom,
( iPr_def_10
<=> $true ) ).
%------ Positive definition of iPr_def_11
fof(lit_def_069,axiom,
( iPr_def_11
<=> $false ) ).
%------ Positive definition of iPr_def_12
fof(lit_def_070,axiom,
( iPr_def_12
<=> $false ) ).
%------ Positive definition of iPr_def_13
fof(lit_def_071,axiom,
( iPr_def_13
<=> $false ) ).
%------ Positive definition of iPr_def_14
fof(lit_def_072,axiom,
( iPr_def_14
<=> $true ) ).
%------ Positive definition of iPr_def_15
fof(lit_def_073,axiom,
( iPr_def_15
<=> $true ) ).
%------ Positive definition of iPr_def_16
fof(lit_def_074,axiom,
( iPr_def_16
<=> $false ) ).
%------ Positive definition of iPr_def_17
fof(lit_def_075,axiom,
( iPr_def_17
<=> $true ) ).
%------ Positive definition of iPr_def_18
fof(lit_def_076,axiom,
( iPr_def_18
<=> $false ) ).
%------ Positive definition of iPr_def_19
fof(lit_def_077,axiom,
( iPr_def_19
<=> $false ) ).
%------ Positive definition of iPr_def_20
fof(lit_def_078,axiom,
( iPr_def_20
<=> $true ) ).
%------ Positive definition of iPr_def_21
fof(lit_def_079,axiom,
( iPr_def_21
<=> $false ) ).
%------ Positive definition of iPr_def_22
fof(lit_def_080,axiom,
( iPr_def_22
<=> $false ) ).
%------ Positive definition of iPr_def_23
fof(lit_def_081,axiom,
( iPr_def_23
<=> $true ) ).
%------ Positive definition of iPr_def_24
fof(lit_def_082,axiom,
( iPr_def_24
<=> $false ) ).
%------ Positive definition of iPr_def_25
fof(lit_def_083,axiom,
( iPr_def_25
<=> $false ) ).
%------ Positive definition of iPr_def_26
fof(lit_def_084,axiom,
( iPr_def_26
<=> $false ) ).
%------ Positive definition of iPr_def_27
fof(lit_def_085,axiom,
( iPr_def_27
<=> $false ) ).
%------ Positive definition of iPr_def_28
fof(lit_def_086,axiom,
( iPr_def_28
<=> $false ) ).
%------ Positive definition of iPr_def_29
fof(lit_def_087,axiom,
( iPr_def_29
<=> $false ) ).
%------ Positive definition of iPr_def_30
fof(lit_def_088,axiom,
( iPr_def_30
<=> $false ) ).
%------ Positive definition of iPr_def_31
fof(lit_def_089,axiom,
( iPr_def_31
<=> $false ) ).
%------ Positive definition of iPr_def_32
fof(lit_def_090,axiom,
( iPr_def_32
<=> $true ) ).
%------ Positive definition of iPr_def_33
fof(lit_def_091,axiom,
( iPr_def_33
<=> $false ) ).
%------ Positive definition of iPr_def_34
fof(lit_def_092,axiom,
( iPr_def_34
<=> $true ) ).
%------ Positive definition of iPr_def_35
fof(lit_def_093,axiom,
( iPr_def_35
<=> $false ) ).
%------ Positive definition of iPr_def_36
fof(lit_def_094,axiom,
( iPr_def_36
<=> $true ) ).
%------ Positive definition of iPr_def_37
fof(lit_def_095,axiom,
( iPr_def_37
<=> $true ) ).
%------ Positive definition of iPr_def_38
fof(lit_def_096,axiom,
( iPr_def_38
<=> $false ) ).
%------ Positive definition of iPr_def_39
fof(lit_def_097,axiom,
( iPr_def_39
<=> $false ) ).
%------ Positive definition of iPr_def_40
fof(lit_def_098,axiom,
( iPr_def_40
<=> $false ) ).
%------ Positive definition of iPr_def_41
fof(lit_def_099,axiom,
( iPr_def_41
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN453-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:15:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 7.24/1.72 % SZS status Started for theBenchmark.p
% 7.24/1.72 % SZS status Satisfiable for theBenchmark.p
% 7.24/1.72
% 7.24/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.24/1.72
% 7.24/1.72 % ------ iProver source info
% 7.24/1.72
% 7.24/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 7.24/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.24/1.72 % git: non_committed_changes: false
% 7.24/1.72
% 7.24/1.72 % ------ Parsing...% successful
% 7.24/1.72
% 7.24/1.72
% 7.24/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 7.24/1.72 %
% 7.24/1.72
% 7.24/1.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.24/1.72
% 7.24/1.72 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 7.24/1.72 gs_s sp: 86 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.24/1.72 % ------ Proving...
% 7.24/1.72 % ------ Problem Properties
% 7.24/1.72
% 7.24/1.72 %
% 7.24/1.72 % clauses 297
% 7.24/1.72 % conjectures 273
% 7.24/1.72 % EPR 297
% 7.24/1.72 % Horn 206
% 7.24/1.72 % unary 0
% 7.24/1.72 % binary 190
% 7.24/1.72 % lits 732
% 7.24/1.72 % lits eq 0
% 7.24/1.72 % fd_pure 0
% 7.24/1.72 % fd_pseudo 0
% 7.24/1.72 % fd_cond 0
% 7.24/1.72 % fd_pseudo_cond 0
% 7.24/1.72 % AC symbols 0
% 7.24/1.72
% 7.24/1.72 % ------ Schedule EPR non Horn non eq is on
% 7.24/1.72
% 7.24/1.72 % ------ no equalities: superposition off
% 7.24/1.72
% 7.24/1.72 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 7.24/1.72
% 7.24/1.72
% 7.24/1.72 % ------
% 7.24/1.72 % Current options:
% 7.24/1.72 % ------
% 7.24/1.72
% 7.24/1.72
% 7.24/1.72 %
% 7.24/1.72
% 7.24/1.72 % ------ Proving...
% 7.24/1.72 %
% 7.24/1.72
% 7.24/1.72 % SZS status Satisfiable for theBenchmark.p
% 7.24/1.72
% 7.24/1.72 ------ Building Model...Done
% 7.24/1.72
% 7.24/1.72 %------ The model is defined over ground terms (initial term algebra).
% 7.24/1.72 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 7.24/1.72 %------ where \phi is a formula over the term algebra.
% 7.24/1.72 %------ If we have equality in the problem then it is also defined as a predicate above,
% 7.24/1.72 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 7.24/1.72 %------ See help for --sat_out_model for different model outputs.
% 7.24/1.72 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 7.24/1.72 %------ where the first argument stands for the sort ($i in the unsorted case)
% 7.24/1.72 % SZS output start Model for theBenchmark.p
% See solution above
% 7.24/1.74
%------------------------------------------------------------------------------