%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : GRP123-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:24:55 AM UTC 2026
% Result : Satisfiable 0.12s 0.41s
% Output : FiniteModel 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( e_4 = "d3"
& e_3 = "d2"
& e_2 = "d1"
& e_1 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( product2("d3","d3","d3")
& ~ product2("d3","d3","d2")
& ~ product2("d3","d3","d1")
& ~ product2("d3","d3","d0")
& ~ product2("d3","d2","d3")
& ~ product2("d3","d2","d2")
& product2("d3","d2","d1")
& ~ product2("d3","d2","d0")
& ~ product2("d3","d1","d3")
& ~ product2("d3","d1","d2")
& ~ product2("d3","d1","d1")
& product2("d3","d1","d0")
& ~ product2("d3","d0","d3")
& product2("d3","d0","d2")
& ~ product2("d3","d0","d1")
& ~ product2("d3","d0","d0")
& ~ product2("d2","d3","d3")
& ~ product2("d2","d3","d2")
& ~ product2("d2","d3","d1")
& product2("d2","d3","d0")
& ~ product2("d2","d2","d3")
& product2("d2","d2","d2")
& ~ product2("d2","d2","d1")
& ~ product2("d2","d2","d0")
& product2("d2","d1","d3")
& ~ product2("d2","d1","d2")
& ~ product2("d2","d1","d1")
& ~ product2("d2","d1","d0")
& ~ product2("d2","d0","d3")
& ~ product2("d2","d0","d2")
& product2("d2","d0","d1")
& ~ product2("d2","d0","d0")
& ~ product2("d1","d3","d3")
& product2("d1","d3","d2")
& ~ product2("d1","d3","d1")
& ~ product2("d1","d3","d0")
& ~ product2("d1","d2","d3")
& ~ product2("d1","d2","d2")
& ~ product2("d1","d2","d1")
& product2("d1","d2","d0")
& ~ product2("d1","d1","d3")
& ~ product2("d1","d1","d2")
& product2("d1","d1","d1")
& ~ product2("d1","d1","d0")
& product2("d1","d0","d3")
& ~ product2("d1","d0","d2")
& ~ product2("d1","d0","d1")
& ~ product2("d1","d0","d0")
& ~ product2("d0","d3","d3")
& ~ product2("d0","d3","d2")
& product2("d0","d3","d1")
& ~ product2("d0","d3","d0")
& product2("d0","d2","d3")
& ~ product2("d0","d2","d2")
& ~ product2("d0","d2","d1")
& ~ product2("d0","d2","d0")
& ~ product2("d0","d1","d3")
& product2("d0","d1","d2")
& ~ product2("d0","d1","d1")
& ~ product2("d0","d1","d0")
& ~ product2("d0","d0","d3")
& ~ product2("d0","d0","d2")
& ~ product2("d0","d0","d1")
& product2("d0","d0","d0")
& product1("d3","d3","d3")
& ~ product1("d3","d3","d2")
& ~ product1("d3","d3","d1")
& ~ product1("d3","d3","d0")
& ~ product1("d3","d2","d3")
& ~ product1("d3","d2","d2")
& ~ product1("d3","d2","d1")
& product1("d3","d2","d0")
& ~ product1("d3","d1","d3")
& product1("d3","d1","d2")
& ~ product1("d3","d1","d1")
& ~ product1("d3","d1","d0")
& ~ product1("d3","d0","d3")
& ~ product1("d3","d0","d2")
& product1("d3","d0","d1")
& ~ product1("d3","d0","d0")
& ~ product1("d2","d3","d3")
& ~ product1("d2","d3","d2")
& product1("d2","d3","d1")
& ~ product1("d2","d3","d0")
& ~ product1("d2","d2","d3")
& product1("d2","d2","d2")
& ~ product1("d2","d2","d1")
& ~ product1("d2","d2","d0")
& ~ product1("d2","d1","d3")
& ~ product1("d2","d1","d2")
& ~ product1("d2","d1","d1")
& product1("d2","d1","d0")
& product1("d2","d0","d3")
& ~ product1("d2","d0","d2")
& ~ product1("d2","d0","d1")
& ~ product1("d2","d0","d0")
& ~ product1("d1","d3","d3")
& ~ product1("d1","d3","d2")
& ~ product1("d1","d3","d1")
& product1("d1","d3","d0")
& product1("d1","d2","d3")
& ~ product1("d1","d2","d2")
& ~ product1("d1","d2","d1")
& ~ product1("d1","d2","d0")
& ~ product1("d1","d1","d3")
& ~ product1("d1","d1","d2")
& product1("d1","d1","d1")
& ~ product1("d1","d1","d0")
& ~ product1("d1","d0","d3")
& product1("d1","d0","d2")
& ~ product1("d1","d0","d1")
& ~ product1("d1","d0","d0")
& ~ product1("d0","d3","d3")
& product1("d0","d3","d2")
& ~ product1("d0","d3","d1")
& ~ product1("d0","d3","d0")
& ~ product1("d0","d2","d3")
& ~ product1("d0","d2","d2")
& product1("d0","d2","d1")
& ~ product1("d0","d2","d0")
& product1("d0","d1","d3")
& ~ product1("d0","d1","d2")
& ~ product1("d0","d1","d1")
& ~ product1("d0","d1","d0")
& ~ product1("d0","d0","d3")
& ~ product1("d0","d0","d2")
& ~ product1("d0","d0","d1")
& product1("d0","d0","d0")
& ~ product("d3","d3","d3")
& ~ product("d3","d3","d2")
& ~ product("d3","d3","d1")
& ~ product("d3","d3","d0")
& product("d3","d2","d3")
& product("d3","d2","d2")
& product("d3","d2","d1")
& product("d3","d2","d0")
& product("d3","d1","d3")
& product("d3","d1","d2")
& product("d3","d1","d1")
& product("d3","d1","d0")
& product("d3","d0","d3")
& product("d3","d0","d2")
& product("d3","d0","d1")
& product("d3","d0","d0")
& product("d2","d3","d3")
& product("d2","d3","d2")
& product("d2","d3","d1")
& product("d2","d3","d0")
& ~ product("d2","d2","d3")
& ~ product("d2","d2","d2")
& ~ product("d2","d2","d1")
& ~ product("d2","d2","d0")
& ~ product("d2","d1","d3")
& ~ product("d2","d1","d2")
& ~ product("d2","d1","d1")
& ~ product("d2","d1","d0")
& ~ product("d2","d0","d3")
& ~ product("d2","d0","d2")
& ~ product("d2","d0","d1")
& ~ product("d2","d0","d0")
& product("d1","d3","d3")
& product("d1","d3","d2")
& product("d1","d3","d1")
& product("d1","d3","d0")
& ~ product("d1","d2","d3")
& ~ product("d1","d2","d2")
& ~ product("d1","d2","d1")
& ~ product("d1","d2","d0")
& ~ product("d1","d1","d3")
& ~ product("d1","d1","d2")
& ~ product("d1","d1","d1")
& ~ product("d1","d1","d0")
& ~ product("d1","d0","d3")
& ~ product("d1","d0","d2")
& ~ product("d1","d0","d1")
& ~ product("d1","d0","d0")
& product("d0","d3","d3")
& product("d0","d3","d2")
& product("d0","d3","d1")
& product("d0","d3","d0")
& ~ product("d0","d2","d3")
& ~ product("d0","d2","d2")
& ~ product("d0","d2","d1")
& ~ product("d0","d2","d0")
& ~ product("d0","d1","d3")
& ~ product("d0","d1","d2")
& ~ product("d0","d1","d1")
& ~ product("d0","d1","d0")
& ~ product("d0","d0","d3")
& ~ product("d0","d0","d2")
& ~ product("d0","d0","d1")
& ~ product("d0","d0","d0")
& equalish("d3","d3")
& ~ equalish("d3","d2")
& ~ equalish("d3","d1")
& ~ equalish("d3","d0")
& ~ equalish("d2","d3")
& equalish("d2","d2")
& ~ equalish("d2","d1")
& ~ equalish("d2","d0")
& ~ equalish("d1","d3")
& ~ equalish("d1","d2")
& equalish("d1","d1")
& ~ equalish("d1","d0")
& ~ equalish("d0","d3")
& ~ equalish("d0","d2")
& ~ equalish("d0","d1")
& equalish("d0","d0")
& group_element("d3")
& group_element("d2")
& group_element("d1")
& group_element("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Fri Sep 25 14:26:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.40 % Process 375553 was started by sandbox2 on n003,
% 0.12/0.40 % Fri Sep 25 14:26:37 2026
% 0.12/0.40 % The command was "/export/starexec/sandbox2/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.41
% 0.12/0.41 % SZS status Satisfiable for theBenchmark
% 0.12/0.41 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------