%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : GRP132-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 07:25:02 AM UTC 2026
% Result : Satisfiable 13.93s 2.56s
% Output : FiniteModel 13.93s
% 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,
( e_5 = "d4"
& e_4 = "d3"
& e_3 = "d2"
& e_2 = "d1"
& e_1 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ product("d4","d4","d4")
& ~ product("d4","d4","d3")
& product("d4","d4","d2")
& ~ product("d4","d4","d1")
& ~ product("d4","d4","d0")
& ~ product("d4","d3","d4")
& ~ product("d4","d3","d3")
& ~ product("d4","d3","d2")
& product("d4","d3","d1")
& ~ product("d4","d3","d0")
& ~ product("d4","d2","d4")
& product("d4","d2","d3")
& ~ product("d4","d2","d2")
& ~ product("d4","d2","d1")
& ~ product("d4","d2","d0")
& ~ product("d4","d1","d4")
& ~ product("d4","d1","d3")
& ~ product("d4","d1","d2")
& ~ product("d4","d1","d1")
& product("d4","d1","d0")
& product("d4","d0","d4")
& ~ product("d4","d0","d3")
& ~ product("d4","d0","d2")
& ~ product("d4","d0","d1")
& ~ product("d4","d0","d0")
& product("d3","d4","d4")
& ~ product("d3","d4","d3")
& ~ product("d3","d4","d2")
& ~ product("d3","d4","d1")
& ~ product("d3","d4","d0")
& ~ product("d3","d3","d4")
& product("d3","d3","d3")
& ~ product("d3","d3","d2")
& ~ product("d3","d3","d1")
& ~ product("d3","d3","d0")
& ~ product("d3","d2","d4")
& ~ product("d3","d2","d3")
& product("d3","d2","d2")
& ~ product("d3","d2","d1")
& ~ product("d3","d2","d0")
& ~ product("d3","d1","d4")
& ~ product("d3","d1","d3")
& ~ product("d3","d1","d2")
& product("d3","d1","d1")
& ~ product("d3","d1","d0")
& ~ product("d3","d0","d4")
& ~ product("d3","d0","d3")
& ~ product("d3","d0","d2")
& ~ product("d3","d0","d1")
& product("d3","d0","d0")
& ~ product("d2","d4","d4")
& ~ product("d2","d4","d3")
& ~ product("d2","d4","d2")
& product("d2","d4","d1")
& ~ product("d2","d4","d0")
& product("d2","d3","d4")
& ~ product("d2","d3","d3")
& ~ product("d2","d3","d2")
& ~ product("d2","d3","d1")
& ~ product("d2","d3","d0")
& ~ product("d2","d2","d4")
& ~ product("d2","d2","d3")
& ~ product("d2","d2","d2")
& ~ product("d2","d2","d1")
& product("d2","d2","d0")
& ~ product("d2","d1","d4")
& ~ product("d2","d1","d3")
& product("d2","d1","d2")
& ~ product("d2","d1","d1")
& ~ product("d2","d1","d0")
& ~ product("d2","d0","d4")
& product("d2","d0","d3")
& ~ product("d2","d0","d2")
& ~ product("d2","d0","d1")
& ~ product("d2","d0","d0")
& ~ product("d1","d4","d4")
& product("d1","d4","d3")
& ~ product("d1","d4","d2")
& ~ product("d1","d4","d1")
& ~ product("d1","d4","d0")
& ~ product("d1","d3","d4")
& ~ product("d1","d3","d3")
& ~ product("d1","d3","d2")
& ~ product("d1","d3","d1")
& product("d1","d3","d0")
& ~ product("d1","d2","d4")
& ~ product("d1","d2","d3")
& ~ product("d1","d2","d2")
& product("d1","d2","d1")
& ~ product("d1","d2","d0")
& product("d1","d1","d4")
& ~ product("d1","d1","d3")
& ~ product("d1","d1","d2")
& ~ product("d1","d1","d1")
& ~ product("d1","d1","d0")
& ~ product("d1","d0","d4")
& ~ product("d1","d0","d3")
& product("d1","d0","d2")
& ~ product("d1","d0","d1")
& ~ product("d1","d0","d0")
& ~ product("d0","d4","d4")
& ~ product("d0","d4","d3")
& ~ product("d0","d4","d2")
& ~ product("d0","d4","d1")
& product("d0","d4","d0")
& ~ product("d0","d3","d4")
& ~ product("d0","d3","d3")
& product("d0","d3","d2")
& ~ product("d0","d3","d1")
& ~ product("d0","d3","d0")
& product("d0","d2","d4")
& ~ product("d0","d2","d3")
& ~ product("d0","d2","d2")
& ~ product("d0","d2","d1")
& ~ product("d0","d2","d0")
& ~ product("d0","d1","d4")
& product("d0","d1","d3")
& ~ product("d0","d1","d2")
& ~ product("d0","d1","d1")
& ~ product("d0","d1","d0")
& ~ product("d0","d0","d4")
& ~ product("d0","d0","d3")
& ~ product("d0","d0","d2")
& product("d0","d0","d1")
& ~ product("d0","d0","d0")
& ~ next("d4","d4")
& ~ next("d4","d3")
& ~ next("d4","d2")
& ~ next("d4","d1")
& ~ next("d4","d0")
& next("d3","d4")
& ~ next("d3","d3")
& ~ next("d3","d2")
& ~ next("d3","d1")
& ~ next("d3","d0")
& ~ next("d2","d4")
& next("d2","d3")
& ~ next("d2","d2")
& ~ next("d2","d1")
& ~ next("d2","d0")
& ~ next("d1","d4")
& ~ next("d1","d3")
& next("d1","d2")
& ~ next("d1","d1")
& ~ next("d1","d0")
& ~ next("d0","d4")
& ~ next("d0","d3")
& ~ next("d0","d2")
& next("d0","d1")
& ~ next("d0","d0")
& ~ greater("d4","d4")
& greater("d4","d3")
& greater("d4","d2")
& greater("d4","d1")
& greater("d4","d0")
& ~ greater("d3","d4")
& ~ greater("d3","d3")
& greater("d3","d2")
& greater("d3","d1")
& greater("d3","d0")
& ~ greater("d2","d4")
& ~ greater("d2","d3")
& ~ greater("d2","d2")
& greater("d2","d1")
& greater("d2","d0")
& ~ greater("d1","d4")
& ~ greater("d1","d3")
& ~ greater("d1","d2")
& ~ greater("d1","d1")
& greater("d1","d0")
& ~ greater("d0","d4")
& ~ greater("d0","d3")
& ~ greater("d0","d2")
& ~ greater("d0","d1")
& ~ greater("d0","d0")
& equalish("d4","d4")
& ~ equalish("d4","d3")
& ~ equalish("d4","d2")
& ~ equalish("d4","d1")
& ~ equalish("d4","d0")
& ~ equalish("d3","d4")
& equalish("d3","d3")
& ~ equalish("d3","d2")
& ~ equalish("d3","d1")
& ~ equalish("d3","d0")
& ~ equalish("d2","d4")
& ~ equalish("d2","d3")
& equalish("d2","d2")
& ~ equalish("d2","d1")
& ~ equalish("d2","d0")
& ~ equalish("d1","d4")
& ~ equalish("d1","d3")
& ~ equalish("d1","d2")
& equalish("d1","d1")
& ~ equalish("d1","d0")
& ~ equalish("d0","d4")
& ~ equalish("d0","d3")
& ~ equalish("d0","d2")
& ~ equalish("d0","d1")
& equalish("d0","d0")
& group_element("d4")
& group_element("d3")
& group_element("d2")
& group_element("d1")
& group_element("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP132-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 % Computer : n016.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Fri Sep 25 14:34:59 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.47 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.47 % Process 2606432 was started by sandbox on n016,
% 0.18/0.47 % Fri Sep 25 14:34:59 2026
% 0.18/0.47 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 13.93/2.56
% 13.93/2.56 % SZS status Satisfiable for theBenchmark
% 13.93/2.56 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------