%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN456-1 : 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 : n012.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 03:40:18 PM UTC 2026
% Result : Satisfiable 2.12s 1.00s
% Output : Model 2.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of hskp30
fof(lit_def,axiom,
( hskp30
<=> $false ) ).
%------ Positive definition of ndr1_0
fof(lit_def_001,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of hskp29
fof(lit_def_002,axiom,
( hskp29
<=> $false ) ).
%------ Positive definition of hskp28
fof(lit_def_003,axiom,
( hskp28
<=> $true ) ).
%------ Positive definition of hskp27
fof(lit_def_004,axiom,
( hskp27
<=> $true ) ).
%------ Positive definition of hskp26
fof(lit_def_005,axiom,
( hskp26
<=> $true ) ).
%------ Positive definition of hskp25
fof(lit_def_006,axiom,
( hskp25
<=> $false ) ).
%------ Positive definition of hskp23
fof(lit_def_007,axiom,
( hskp23
<=> $false ) ).
%------ Positive definition of hskp22
fof(lit_def_008,axiom,
( hskp22
<=> $true ) ).
%------ Positive definition of hskp21
fof(lit_def_009,axiom,
( hskp21
<=> $false ) ).
%------ Positive definition of hskp20
fof(lit_def_010,axiom,
( hskp20
<=> $false ) ).
%------ Positive definition of hskp19
fof(lit_def_011,axiom,
( hskp19
<=> $false ) ).
%------ Positive definition of hskp18
fof(lit_def_012,axiom,
( hskp18
<=> $false ) ).
%------ Positive definition of hskp17
fof(lit_def_013,axiom,
( hskp17
<=> $false ) ).
%------ Positive definition of hskp16
fof(lit_def_014,axiom,
( hskp16
<=> $false ) ).
%------ Positive definition of hskp15
fof(lit_def_015,axiom,
( hskp15
<=> $false ) ).
%------ Positive definition of hskp14
fof(lit_def_016,axiom,
( hskp14
<=> $true ) ).
%------ Positive definition of hskp13
fof(lit_def_017,axiom,
( hskp13
<=> $false ) ).
%------ Positive definition of hskp12
fof(lit_def_018,axiom,
( hskp12
<=> $true ) ).
%------ Positive definition of hskp11
fof(lit_def_019,axiom,
( hskp11
<=> $false ) ).
%------ Positive definition of hskp10
fof(lit_def_020,axiom,
( hskp10
<=> $false ) ).
%------ Positive definition of hskp9
fof(lit_def_021,axiom,
( hskp9
<=> $false ) ).
%------ Positive definition of hskp8
fof(lit_def_022,axiom,
( hskp8
<=> $false ) ).
%------ Positive definition of hskp7
fof(lit_def_023,axiom,
( hskp7
<=> $false ) ).
%------ Positive definition of hskp6
fof(lit_def_024,axiom,
( hskp6
<=> $true ) ).
%------ Positive definition of hskp5
fof(lit_def_025,axiom,
( hskp5
<=> $false ) ).
%------ Positive definition of hskp4
fof(lit_def_026,axiom,
( hskp4
<=> $true ) ).
%------ Positive definition of hskp3
fof(lit_def_027,axiom,
( hskp3
<=> $false ) ).
%------ Positive definition of hskp2
fof(lit_def_028,axiom,
( hskp2
<=> $false ) ).
%------ Positive definition of hskp1
fof(lit_def_029,axiom,
( hskp1
<=> $false ) ).
%------ Positive definition of hskp0
fof(lit_def_030,axiom,
( hskp0
<=> $true ) ).
%------ Positive definition of c0_1
fof(lit_def_031,axiom,
! [X0] :
( c0_1(X0)
<=> ( X0 = a997
| X0 = a1015
| X0 = a995
| X0 = a1003
| X0 = a1007
| X0 = a1017
| X0 = a1037
| X0 = a1059
| X0 = a1009
| X0 = a1032 ) ) ).
%------ Positive definition of c1_1
fof(lit_def_032,axiom,
! [X0] :
( c1_1(X0)
<=> ( X0 = a991
| X0 = a994
| X0 = a1000
| X0 = a1004
| X0 = a1016
| X0 = a1019
| ( X0 != a992
& X0 != a996
& X0 != a997
& X0 != a1015
& X0 != a988
& X0 != a989
& X0 != a990
& X0 != a995
& X0 != a1003
& X0 != a1004
& X0 != a1007
& X0 != a1008
& X0 != a1012
& X0 != a1016
& X0 != a1017
& X0 != a1037
& X0 != a1040
& X0 != a1058
& X0 != a1059
& X0 != a1009
& X0 != a1032 ) ) ) ).
%------ Positive definition of c3_1
fof(lit_def_033,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = a997
| X0 = a1015
| X0 = a991
| X0 = a995
| X0 = a1000
| X0 = a1004
| X0 = a1007
| X0 = a1016
| X0 = a1017
| X0 = a1037
| X0 = a1045
| X0 = a1009
| X0 = a1019
| X0 = a1032
| ( X0 != a992
& X0 != a996
& X0 != a997
& X0 != a1015
& X0 != a988
& X0 != a989
& X0 != a990
& X0 != a991
& X0 != a1004
& X0 != a1008
& X0 != a1012
& X0 != a1016
& X0 != a1017
& X0 != a1037
& X0 != a1040
& X0 != a1058 ) ) ) ).
%------ Positive definition of c2_1
fof(lit_def_034,axiom,
! [X0] :
( c2_1(X0)
<=> ( X0 = a992
| X0 = a996
| X0 = a997
| X0 = a1015
| X0 = a988
| X0 = a989
| X0 = a990
| X0 = a991
| X0 = a994
| X0 = a995
| X0 = a1003
| X0 = a1004
| X0 = a1007
| X0 = a1008
| X0 = a1012
| X0 = a1016
| X0 = a1017
| X0 = a1037
| X0 = a1040
| X0 = a1045
| X0 = a1058
| X0 = a1059
| X0 = a1009
| X0 = a1019
| X0 = a1032
| ( X0 != a997
& X0 != a1016
& X0 != a1037 ) ) ) ).
%------ Positive definition of iPr_def_10
fof(lit_def_035,axiom,
( iPr_def_10
<=> $false ) ).
%------ Positive definition of iPr_def_11
fof(lit_def_036,axiom,
( iPr_def_11
<=> $true ) ).
%------ Positive definition of iPr_def_12
fof(lit_def_037,axiom,
( iPr_def_12
<=> $true ) ).
%------ Positive definition of iPr_def_13
fof(lit_def_038,axiom,
( iPr_def_13
<=> $false ) ).
%------ Positive definition of iPr_def_14
fof(lit_def_039,axiom,
( iPr_def_14
<=> $true ) ).
%------ Positive definition of iPr_def_15
fof(lit_def_040,axiom,
( iPr_def_15
<=> $true ) ).
%------ Positive definition of iPr_def_16
fof(lit_def_041,axiom,
( iPr_def_16
<=> $false ) ).
%------ Positive definition of iPr_def_17
fof(lit_def_042,axiom,
( iPr_def_17
<=> $false ) ).
%------ Positive definition of iPr_def_18
fof(lit_def_043,axiom,
( iPr_def_18
<=> $false ) ).
%------ Positive definition of iPr_def_19
fof(lit_def_044,axiom,
( iPr_def_19
<=> $true ) ).
%------ Positive definition of iPr_def_20
fof(lit_def_045,axiom,
( iPr_def_20
<=> $false ) ).
%------ Positive definition of iPr_def_21
fof(lit_def_046,axiom,
( iPr_def_21
<=> $false ) ).
%------ Positive definition of iPr_def_22
fof(lit_def_047,axiom,
( iPr_def_22
<=> $true ) ).
%------ Positive definition of iPr_def_23
fof(lit_def_048,axiom,
( iPr_def_23
<=> $true ) ).
%------ Positive definition of iPr_def_24
fof(lit_def_049,axiom,
( iPr_def_24
<=> $true ) ).
%------ Positive definition of iPr_def_25
fof(lit_def_050,axiom,
( iPr_def_25
<=> $false ) ).
%------ Positive definition of iPr_def_26
fof(lit_def_051,axiom,
( iPr_def_26
<=> $true ) ).
%------ Positive definition of iPr_def_27
fof(lit_def_052,axiom,
( iPr_def_27
<=> $true ) ).
%------ Positive definition of iPr_def_28
fof(lit_def_053,axiom,
( iPr_def_28
<=> $false ) ).
%------ Positive definition of iPr_def_29
fof(lit_def_054,axiom,
( iPr_def_29
<=> $false ) ).
%------ Positive definition of iPr_def_30
fof(lit_def_055,axiom,
( iPr_def_30
<=> $true ) ).
%------ Positive definition of iPr_def_31
fof(lit_def_056,axiom,
( iPr_def_31
<=> $false ) ).
%------ Positive definition of iPr_def_32
fof(lit_def_057,axiom,
( iPr_def_32
<=> $false ) ).
%------ Positive definition of iPr_def_33
fof(lit_def_058,axiom,
( iPr_def_33
<=> $false ) ).
%------ Positive definition of iPr_def_34
fof(lit_def_059,axiom,
( iPr_def_34
<=> $true ) ).
%------ Positive definition of iPr_def_35
fof(lit_def_060,axiom,
( iPr_def_35
<=> $true ) ).
%------ Positive definition of iPr_def_36
fof(lit_def_061,axiom,
( iPr_def_36
<=> $true ) ).
%------ Positive definition of iPr_def_37
fof(lit_def_062,axiom,
( iPr_def_37
<=> $false ) ).
%------ Positive definition of iPr_def_38
fof(lit_def_063,axiom,
( iPr_def_38
<=> $false ) ).
%------ Positive definition of iPr_def_39
fof(lit_def_064,axiom,
( iPr_def_39
<=> $false ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN456-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 25 01:17:20 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.32 Running EPR theorem proving
% 0.02/0.32 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
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.02/0.33 % Proving...
% 2.12/1.00 % SZS status Started for theBenchmark.p
% 2.12/1.00 % SZS status Satisfiable for theBenchmark.p
% 2.12/1.00
% 2.12/1.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.12/1.00
% 2.12/1.00 % ------ iProver source info
% 2.12/1.00
% 2.12/1.00 % git: date: 2026-07-19 20:42:38 +0200
% 2.12/1.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.12/1.00 % git: non_committed_changes: false
% 2.12/1.00
% 2.12/1.00 % ------ Parsing...% successful
% 2.12/1.00
% 2.12/1.00
% 2.12/1.00 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.12/1.00 %
% 2.12/1.00
% 2.12/1.00 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.12/1.00
% 2.12/1.00 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.12/1.00 gs_s sp: 87 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.12/1.00 % ------ Proving...
% 2.12/1.00 % ------ Problem Properties
% 2.12/1.00
% 2.12/1.00 %
% 2.12/1.00 % clauses 182
% 2.12/1.00 % conjectures 179
% 2.12/1.00 % EPR 182
% 2.12/1.00 % Horn 106
% 2.12/1.00 % unary 0
% 2.12/1.00 % binary 91
% 2.12/1.00 % lits 485
% 2.12/1.00 % lits eq 0
% 2.12/1.00 % fd_pure 0
% 2.12/1.00 % fd_pseudo 0
% 2.12/1.00 % fd_cond 0
% 2.12/1.00 % fd_pseudo_cond 0
% 2.12/1.00 % AC symbols 0
% 2.12/1.00
% 2.12/1.00 % ------ Schedule EPR non Horn non eq is on
% 2.12/1.00
% 2.12/1.00 % ------ no equalities: superposition off
% 2.12/1.00
% 2.12/1.00 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.12/1.00
% 2.12/1.00
% 2.12/1.00 % ------
% 2.12/1.00 % Current options:
% 2.12/1.00 % ------
% 2.12/1.00
% 2.12/1.00
% 2.12/1.00 %
% 2.12/1.00
% 2.12/1.00 % ------ Proving...
% 2.12/1.00 %
% 2.12/1.00
% 2.12/1.00 % SZS status Satisfiable for theBenchmark.p
% 2.12/1.00
% 2.12/1.00 ------ Building Model...Done
% 2.12/1.00
% 2.12/1.00 %------ The model is defined over ground terms (initial term algebra).
% 2.12/1.00 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 2.12/1.00 %------ where \phi is a formula over the term algebra.
% 2.12/1.00 %------ If we have equality in the problem then it is also defined as a predicate above,
% 2.12/1.00 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 2.12/1.00 %------ See help for --sat_out_model for different model outputs.
% 2.12/1.00 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 2.12/1.00 %------ where the first argument stands for the sort ($i in the unsorted case)
% 2.12/1.00 % SZS output start Model for theBenchmark.p
% See solution above
% 2.12/1.00
%------------------------------------------------------------------------------