%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : GRP026-3 : TPTP v9.3.1. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 07:24:46 AM UTC 2026
% Result : Satisfiable 1.52s 0.81s
% Output : FiniteModel 1.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( multiply("d2","d2","d2") = "d0"
& multiply("d2","d2","d1") = "d0"
& multiply("d2","d2","d0") = "d0"
& multiply("d2","d1","d2") = "d0"
& multiply("d2","d1","d1") = "d0"
& multiply("d2","d1","d0") = "d0"
& multiply("d2","d0","d2") = "d0"
& multiply("d2","d0","d1") = "d0"
& multiply("d2","d0","d0") = "d0"
& multiply("d1","d2","d2") = "d0"
& multiply("d1","d2","d1") = "d0"
& multiply("d1","d2","d0") = "d0"
& multiply("d1","d1","d2") = "d0"
& multiply("d1","d1","d1") = "d0"
& multiply("d1","d1","d0") = "d0"
& multiply("d1","d0","d2") = "d0"
& multiply("d1","d0","d1") = "d0"
& multiply("d1","d0","d0") = "d0"
& multiply("d0","d2","d2") = "d0"
& multiply("d0","d2","d1") = "d0"
& multiply("d0","d2","d0") = "d0"
& multiply("d0","d1","d2") = "d0"
& multiply("d0","d1","d1") = "d0"
& multiply("d0","d1","d0") = "d0"
& multiply("d0","d0","d2") = "d0"
& multiply("d0","d0","d1") = "d0"
& multiply("d0","d0","d0") = "d0"
& inverse("d2","d2") = "d2"
& inverse("d2","d1") = "d0"
& inverse("d2","d0") = "d0"
& inverse("d1","d2") = "d2"
& inverse("d1","d1") = "d0"
& inverse("d1","d0") = "d0"
& inverse("d0","d2") = "d2"
& inverse("d0","d1") = "d0"
& inverse("d0","d0") = "d0"
& identity_for("d2") = "d0"
& identity_for("d1") = "d0"
& identity_for("d0") = "d0"
& an_isomorphism("d2") = "d0"
& an_isomorphism("d1") = "d2"
& an_isomorphism("d0") = "d0"
& h = "d0"
& g2 = "d0"
& g1 = "d0"
& g = "d0"
& f = "d0"
& d3 = "d1"
& d2 = "d0"
& d1 = "d0"
& c = "d0"
& b = "d0"
& a = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ product("d2","d2","d2","d2")
& product("d2","d2","d2","d1")
& product("d2","d2","d2","d0")
& product("d2","d2","d1","d2")
& ~ product("d2","d2","d1","d1")
& ~ product("d2","d2","d1","d0")
& product("d2","d2","d0","d2")
& ~ product("d2","d2","d0","d1")
& ~ product("d2","d2","d0","d0")
& product("d2","d1","d2","d2")
& ~ product("d2","d1","d2","d1")
& ~ product("d2","d1","d2","d0")
& ~ product("d2","d1","d1","d2")
& product("d2","d1","d1","d1")
& product("d2","d1","d1","d0")
& ~ product("d2","d1","d0","d2")
& product("d2","d1","d0","d1")
& product("d2","d1","d0","d0")
& product("d2","d0","d2","d2")
& ~ product("d2","d0","d2","d1")
& ~ product("d2","d0","d2","d0")
& ~ product("d2","d0","d1","d2")
& product("d2","d0","d1","d1")
& product("d2","d0","d1","d0")
& ~ product("d2","d0","d0","d2")
& product("d2","d0","d0","d1")
& product("d2","d0","d0","d0")
& ~ product("d1","d2","d2","d2")
& product("d1","d2","d2","d1")
& product("d1","d2","d2","d0")
& product("d1","d2","d1","d2")
& ~ product("d1","d2","d1","d1")
& ~ product("d1","d2","d1","d0")
& product("d1","d2","d0","d2")
& ~ product("d1","d2","d0","d1")
& ~ product("d1","d2","d0","d0")
& product("d1","d1","d2","d2")
& ~ product("d1","d1","d2","d1")
& ~ product("d1","d1","d2","d0")
& ~ product("d1","d1","d1","d2")
& product("d1","d1","d1","d1")
& product("d1","d1","d1","d0")
& ~ product("d1","d1","d0","d2")
& product("d1","d1","d0","d1")
& product("d1","d1","d0","d0")
& product("d1","d0","d2","d2")
& ~ product("d1","d0","d2","d1")
& ~ product("d1","d0","d2","d0")
& ~ product("d1","d0","d1","d2")
& product("d1","d0","d1","d1")
& product("d1","d0","d1","d0")
& ~ product("d1","d0","d0","d2")
& product("d1","d0","d0","d1")
& product("d1","d0","d0","d0")
& ~ product("d0","d2","d2","d2")
& product("d0","d2","d2","d1")
& product("d0","d2","d2","d0")
& product("d0","d2","d1","d2")
& ~ product("d0","d2","d1","d1")
& ~ product("d0","d2","d1","d0")
& product("d0","d2","d0","d2")
& ~ product("d0","d2","d0","d1")
& ~ product("d0","d2","d0","d0")
& product("d0","d1","d2","d2")
& ~ product("d0","d1","d2","d1")
& ~ product("d0","d1","d2","d0")
& ~ product("d0","d1","d1","d2")
& product("d0","d1","d1","d1")
& product("d0","d1","d1","d0")
& ~ product("d0","d1","d0","d2")
& product("d0","d1","d0","d1")
& product("d0","d1","d0","d0")
& product("d0","d0","d2","d2")
& ~ product("d0","d0","d2","d1")
& ~ product("d0","d0","d2","d0")
& ~ product("d0","d0","d1","d2")
& product("d0","d0","d1","d1")
& product("d0","d0","d1","d0")
& ~ product("d0","d0","d0","d2")
& product("d0","d0","d0","d1")
& product("d0","d0","d0","d0")
& ~ group_member("d2","d2")
& ~ group_member("d2","d1")
& ~ group_member("d2","d0")
& group_member("d1","d2")
& group_member("d1","d1")
& group_member("d1","d0")
& group_member("d0","d2")
& group_member("d0","d1")
& group_member("d0","d0")
& equalish("d2","d2")
& ~ equalish("d2","d1")
& ~ equalish("d2","d0")
& ~ equalish("d1","d2")
& equalish("d1","d1")
& equalish("d1","d0")
& ~ equalish("d0","d2")
& equalish("d0","d1")
& equalish("d0","d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP026-3 : TPTP v9.3.1. Bugfixed v2.0.0.
% 0.00/0.06 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n011.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 14:17:59 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 2192924 was started by sandbox on n011,
% 0.16/0.43 % Fri Sep 25 14:17:59 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.52/0.81
% 1.52/0.81 % SZS status Satisfiable for theBenchmark
% 1.52/0.81 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------