%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : GRA013+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 : n001.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 0.08s 0.36s
% Output : FiniteModel 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d4"
| X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( n5 = "d4"
& n4 = "d3"
& n3 = "d2"
& n2 = "d1"
& n1 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ red("d4","d4")
& ~ red("d4","d3")
& ~ red("d4","d2")
& ~ red("d4","d1")
& ~ red("d4","d0")
& red("d3","d4")
& ~ red("d3","d3")
& ~ red("d3","d2")
& ~ red("d3","d1")
& ~ red("d3","d0")
& red("d2","d4")
& ~ red("d2","d3")
& ~ red("d2","d2")
& ~ red("d2","d1")
& ~ red("d2","d0")
& ~ red("d1","d4")
& red("d1","d3")
& ~ red("d1","d2")
& ~ red("d1","d1")
& ~ red("d1","d0")
& ~ red("d0","d4")
& ~ red("d0","d3")
& red("d0","d2")
& red("d0","d1")
& ~ red("d0","d0")
& ~ less_than("d4","d4")
& ~ less_than("d4","d3")
& ~ less_than("d4","d2")
& ~ less_than("d4","d1")
& ~ less_than("d4","d0")
& less_than("d3","d4")
& ~ less_than("d3","d3")
& ~ less_than("d3","d2")
& ~ less_than("d3","d1")
& ~ less_than("d3","d0")
& less_than("d2","d4")
& less_than("d2","d3")
& ~ less_than("d2","d2")
& ~ less_than("d2","d1")
& ~ less_than("d2","d0")
& less_than("d1","d4")
& less_than("d1","d3")
& less_than("d1","d2")
& ~ less_than("d1","d1")
& ~ less_than("d1","d0")
& less_than("d0","d4")
& less_than("d0","d3")
& less_than("d0","d2")
& less_than("d0","d1")
& ~ less_than("d0","d0")
& ~ green("d4","d4")
& ~ green("d4","d3")
& ~ green("d4","d2")
& ~ green("d4","d1")
& ~ green("d4","d0")
& ~ green("d3","d4")
& ~ green("d3","d3")
& ~ green("d3","d2")
& ~ green("d3","d1")
& ~ green("d3","d0")
& ~ green("d2","d4")
& green("d2","d3")
& ~ green("d2","d2")
& ~ green("d2","d1")
& ~ green("d2","d0")
& green("d1","d4")
& ~ green("d1","d3")
& green("d1","d2")
& ~ green("d1","d1")
& ~ green("d1","d0")
& green("d0","d4")
& green("d0","d3")
& ~ green("d0","d2")
& ~ green("d0","d1")
& ~ green("d0","d0")
& ~ goal ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA013+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 13:54:11 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 3441318 was started by sandbox on n001,
% 0.08/0.35 % Fri Sep 25 13:54:11 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % SZS status CounterSatisfiable for theBenchmark
% 0.08/0.36 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------