%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : GRA021+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Sun Sep 27 07:19:03 AM UTC 2026
% Result : CounterSatisfiable 86.55s 13.94s
% Output : FiniteModel 86.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d11"
| X = "d10"
| X = "d9"
| X = "d8"
| X = "d7"
| X = "d6"
| X = "d5"
| X = "d4"
| X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( n9 = "d8"
& n8 = "d7"
& n7 = "d6"
& n6 = "d5"
& n5 = "d4"
& n4 = "d3"
& n3 = "d2"
& n2 = "d1"
& n12 = "d11"
& n11 = "d10"
& n10 = "d9"
& n1 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ red("d11","d11")
& ~ red("d11","d10")
& ~ red("d11","d9")
& ~ red("d11","d8")
& ~ red("d11","d7")
& ~ red("d11","d6")
& ~ red("d11","d5")
& ~ red("d11","d4")
& ~ red("d11","d3")
& ~ red("d11","d2")
& ~ red("d11","d1")
& ~ red("d11","d0")
& ~ red("d10","d11")
& ~ red("d10","d10")
& ~ red("d10","d9")
& ~ red("d10","d8")
& ~ red("d10","d7")
& ~ red("d10","d6")
& ~ red("d10","d5")
& ~ red("d10","d4")
& ~ red("d10","d3")
& ~ red("d10","d2")
& ~ red("d10","d1")
& ~ red("d10","d0")
& red("d9","d11")
& red("d9","d10")
& ~ red("d9","d9")
& ~ red("d9","d8")
& ~ red("d9","d7")
& ~ red("d9","d6")
& ~ red("d9","d5")
& ~ red("d9","d4")
& ~ red("d9","d3")
& ~ red("d9","d2")
& ~ red("d9","d1")
& ~ red("d9","d0")
& red("d8","d11")
& red("d8","d10")
& ~ red("d8","d9")
& ~ red("d8","d8")
& ~ red("d8","d7")
& ~ red("d8","d6")
& ~ red("d8","d5")
& ~ red("d8","d4")
& ~ red("d8","d3")
& ~ red("d8","d2")
& ~ red("d8","d1")
& ~ red("d8","d0")
& red("d7","d11")
& red("d7","d10")
& ~ red("d7","d9")
& ~ red("d7","d8")
& ~ red("d7","d7")
& ~ red("d7","d6")
& ~ red("d7","d5")
& ~ red("d7","d4")
& ~ red("d7","d3")
& ~ red("d7","d2")
& ~ red("d7","d1")
& ~ red("d7","d0")
& red("d6","d11")
& red("d6","d10")
& red("d6","d9")
& red("d6","d8")
& red("d6","d7")
& ~ red("d6","d6")
& ~ red("d6","d5")
& ~ red("d6","d4")
& ~ red("d6","d3")
& ~ red("d6","d2")
& ~ red("d6","d1")
& ~ red("d6","d0")
& red("d5","d11")
& red("d5","d10")
& red("d5","d9")
& red("d5","d8")
& red("d5","d7")
& ~ red("d5","d6")
& ~ red("d5","d5")
& ~ red("d5","d4")
& ~ red("d5","d3")
& ~ red("d5","d2")
& ~ red("d5","d1")
& ~ red("d5","d0")
& red("d4","d11")
& red("d4","d10")
& red("d4","d9")
& red("d4","d8")
& red("d4","d7")
& ~ red("d4","d6")
& ~ red("d4","d5")
& ~ red("d4","d4")
& ~ red("d4","d3")
& ~ red("d4","d2")
& ~ red("d4","d1")
& ~ red("d4","d0")
& red("d3","d11")
& red("d3","d10")
& red("d3","d9")
& red("d3","d8")
& red("d3","d7")
& ~ red("d3","d6")
& ~ red("d3","d5")
& ~ red("d3","d4")
& ~ red("d3","d3")
& ~ red("d3","d2")
& ~ red("d3","d1")
& ~ red("d3","d0")
& red("d2","d11")
& red("d2","d10")
& ~ red("d2","d9")
& ~ red("d2","d8")
& ~ red("d2","d7")
& red("d2","d6")
& red("d2","d5")
& red("d2","d4")
& red("d2","d3")
& ~ red("d2","d2")
& ~ red("d2","d1")
& ~ red("d2","d0")
& ~ red("d1","d11")
& ~ red("d1","d10")
& red("d1","d9")
& red("d1","d8")
& red("d1","d7")
& red("d1","d6")
& red("d1","d5")
& red("d1","d4")
& red("d1","d3")
& red("d1","d2")
& ~ red("d1","d1")
& ~ red("d1","d0")
& red("d0","d11")
& red("d0","d10")
& red("d0","d9")
& red("d0","d8")
& red("d0","d7")
& red("d0","d6")
& red("d0","d5")
& red("d0","d4")
& red("d0","d3")
& red("d0","d2")
& red("d0","d1")
& ~ red("d0","d0")
& ~ less_than("d11","d11")
& ~ less_than("d11","d10")
& ~ less_than("d11","d9")
& ~ less_than("d11","d8")
& ~ less_than("d11","d7")
& ~ less_than("d11","d6")
& ~ less_than("d11","d5")
& ~ less_than("d11","d4")
& ~ less_than("d11","d3")
& ~ less_than("d11","d2")
& ~ less_than("d11","d1")
& ~ less_than("d11","d0")
& less_than("d10","d11")
& ~ less_than("d10","d10")
& ~ less_than("d10","d9")
& ~ less_than("d10","d8")
& ~ less_than("d10","d7")
& ~ less_than("d10","d6")
& ~ less_than("d10","d5")
& ~ less_than("d10","d4")
& ~ less_than("d10","d3")
& ~ less_than("d10","d2")
& ~ less_than("d10","d1")
& ~ less_than("d10","d0")
& less_than("d9","d11")
& less_than("d9","d10")
& ~ less_than("d9","d9")
& ~ less_than("d9","d8")
& ~ less_than("d9","d7")
& ~ less_than("d9","d6")
& ~ less_than("d9","d5")
& ~ less_than("d9","d4")
& ~ less_than("d9","d3")
& ~ less_than("d9","d2")
& ~ less_than("d9","d1")
& ~ less_than("d9","d0")
& less_than("d8","d11")
& less_than("d8","d10")
& less_than("d8","d9")
& ~ less_than("d8","d8")
& ~ less_than("d8","d7")
& ~ less_than("d8","d6")
& ~ less_than("d8","d5")
& ~ less_than("d8","d4")
& ~ less_than("d8","d3")
& ~ less_than("d8","d2")
& ~ less_than("d8","d1")
& ~ less_than("d8","d0")
& less_than("d7","d11")
& less_than("d7","d10")
& less_than("d7","d9")
& less_than("d7","d8")
& ~ less_than("d7","d7")
& ~ less_than("d7","d6")
& ~ less_than("d7","d5")
& ~ less_than("d7","d4")
& ~ less_than("d7","d3")
& ~ less_than("d7","d2")
& ~ less_than("d7","d1")
& ~ less_than("d7","d0")
& less_than("d6","d11")
& less_than("d6","d10")
& less_than("d6","d9")
& less_than("d6","d8")
& less_than("d6","d7")
& ~ less_than("d6","d6")
& ~ less_than("d6","d5")
& ~ less_than("d6","d4")
& ~ less_than("d6","d3")
& ~ less_than("d6","d2")
& ~ less_than("d6","d1")
& ~ less_than("d6","d0")
& less_than("d5","d11")
& less_than("d5","d10")
& less_than("d5","d9")
& less_than("d5","d8")
& less_than("d5","d7")
& less_than("d5","d6")
& ~ less_than("d5","d5")
& ~ less_than("d5","d4")
& ~ less_than("d5","d3")
& ~ less_than("d5","d2")
& ~ less_than("d5","d1")
& ~ less_than("d5","d0")
& less_than("d4","d11")
& less_than("d4","d10")
& less_than("d4","d9")
& less_than("d4","d8")
& less_than("d4","d7")
& less_than("d4","d6")
& less_than("d4","d5")
& ~ less_than("d4","d4")
& ~ less_than("d4","d3")
& ~ less_than("d4","d2")
& ~ less_than("d4","d1")
& ~ less_than("d4","d0")
& less_than("d3","d11")
& less_than("d3","d10")
& less_than("d3","d9")
& less_than("d3","d8")
& less_than("d3","d7")
& less_than("d3","d6")
& less_than("d3","d5")
& less_than("d3","d4")
& ~ less_than("d3","d3")
& ~ less_than("d3","d2")
& ~ less_than("d3","d1")
& ~ less_than("d3","d0")
& less_than("d2","d11")
& less_than("d2","d10")
& less_than("d2","d9")
& less_than("d2","d8")
& less_than("d2","d7")
& less_than("d2","d6")
& less_than("d2","d5")
& less_than("d2","d4")
& less_than("d2","d3")
& ~ less_than("d2","d2")
& ~ less_than("d2","d1")
& ~ less_than("d2","d0")
& less_than("d1","d11")
& less_than("d1","d10")
& less_than("d1","d9")
& less_than("d1","d8")
& less_than("d1","d7")
& less_than("d1","d6")
& less_than("d1","d5")
& less_than("d1","d4")
& less_than("d1","d3")
& less_than("d1","d2")
& ~ less_than("d1","d1")
& ~ less_than("d1","d0")
& less_than("d0","d11")
& less_than("d0","d10")
& less_than("d0","d9")
& less_than("d0","d8")
& less_than("d0","d7")
& less_than("d0","d6")
& less_than("d0","d5")
& less_than("d0","d4")
& less_than("d0","d3")
& less_than("d0","d2")
& less_than("d0","d1")
& ~ less_than("d0","d0")
& ~ green("d11","d11")
& ~ green("d11","d10")
& ~ green("d11","d9")
& ~ green("d11","d8")
& ~ green("d11","d7")
& ~ green("d11","d6")
& ~ green("d11","d5")
& ~ green("d11","d4")
& ~ green("d11","d3")
& ~ green("d11","d2")
& ~ green("d11","d1")
& ~ green("d11","d0")
& green("d10","d11")
& ~ green("d10","d10")
& ~ green("d10","d9")
& ~ green("d10","d8")
& ~ green("d10","d7")
& ~ green("d10","d6")
& ~ green("d10","d5")
& ~ green("d10","d4")
& ~ green("d10","d3")
& ~ green("d10","d2")
& ~ green("d10","d1")
& ~ green("d10","d0")
& ~ green("d9","d11")
& ~ green("d9","d10")
& ~ green("d9","d9")
& ~ green("d9","d8")
& ~ green("d9","d7")
& ~ green("d9","d6")
& ~ green("d9","d5")
& ~ green("d9","d4")
& ~ green("d9","d3")
& ~ green("d9","d2")
& ~ green("d9","d1")
& ~ green("d9","d0")
& ~ green("d8","d11")
& ~ green("d8","d10")
& green("d8","d9")
& ~ green("d8","d8")
& ~ green("d8","d7")
& ~ green("d8","d6")
& ~ green("d8","d5")
& ~ green("d8","d4")
& ~ green("d8","d3")
& ~ green("d8","d2")
& ~ green("d8","d1")
& ~ green("d8","d0")
& ~ green("d7","d11")
& ~ green("d7","d10")
& green("d7","d9")
& green("d7","d8")
& ~ green("d7","d7")
& ~ green("d7","d6")
& ~ green("d7","d5")
& ~ green("d7","d4")
& ~ green("d7","d3")
& ~ green("d7","d2")
& ~ green("d7","d1")
& ~ green("d7","d0")
& ~ green("d6","d11")
& ~ green("d6","d10")
& ~ green("d6","d9")
& ~ green("d6","d8")
& ~ green("d6","d7")
& ~ green("d6","d6")
& ~ green("d6","d5")
& ~ green("d6","d4")
& ~ green("d6","d3")
& ~ green("d6","d2")
& ~ green("d6","d1")
& ~ green("d6","d0")
& ~ green("d5","d11")
& ~ green("d5","d10")
& ~ green("d5","d9")
& ~ green("d5","d8")
& ~ green("d5","d7")
& green("d5","d6")
& ~ green("d5","d5")
& ~ green("d5","d4")
& ~ green("d5","d3")
& ~ green("d5","d2")
& ~ green("d5","d1")
& ~ green("d5","d0")
& ~ green("d4","d11")
& ~ green("d4","d10")
& ~ green("d4","d9")
& ~ green("d4","d8")
& ~ green("d4","d7")
& green("d4","d6")
& green("d4","d5")
& ~ green("d4","d4")
& ~ green("d4","d3")
& ~ green("d4","d2")
& ~ green("d4","d1")
& ~ green("d4","d0")
& ~ green("d3","d11")
& ~ green("d3","d10")
& ~ green("d3","d9")
& ~ green("d3","d8")
& ~ green("d3","d7")
& green("d3","d6")
& green("d3","d5")
& green("d3","d4")
& ~ green("d3","d3")
& ~ green("d3","d2")
& ~ green("d3","d1")
& ~ green("d3","d0")
& ~ green("d2","d11")
& ~ green("d2","d10")
& green("d2","d9")
& green("d2","d8")
& green("d2","d7")
& ~ green("d2","d6")
& ~ green("d2","d5")
& ~ green("d2","d4")
& ~ green("d2","d3")
& ~ green("d2","d2")
& ~ green("d2","d1")
& ~ green("d2","d0")
& green("d1","d11")
& green("d1","d10")
& ~ green("d1","d9")
& ~ green("d1","d8")
& ~ green("d1","d7")
& ~ green("d1","d6")
& ~ green("d1","d5")
& ~ green("d1","d4")
& ~ green("d1","d3")
& ~ green("d1","d2")
& ~ green("d1","d1")
& ~ green("d1","d0")
& ~ green("d0","d11")
& ~ green("d0","d10")
& ~ green("d0","d9")
& ~ green("d0","d8")
& ~ green("d0","d7")
& ~ green("d0","d6")
& ~ green("d0","d5")
& ~ green("d0","d4")
& ~ green("d0","d3")
& ~ green("d0","d2")
& ~ green("d0","d1")
& ~ green("d0","d0")
& ~ goal ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA021+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 13:52:42 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 1515433 was started by sandbox on n015,
% 0.11/0.38 % Fri Sep 25 13:52:42 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 86.55/13.94
% 86.55/13.94 % SZS status CounterSatisfiable for theBenchmark
% 86.55/13.94 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------