%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : GRP024-4 : TPTP v9.3.1. Released v1.0.0.
% 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 07:24:45 AM UTC 2026
% Result : Satisfiable 0.84s 1.09s
% Output : FiniteModel 0.84s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d5"
| X = "d4"
| X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( multiply("d5","d5") = "d2"
& multiply("d5","d4") = "d1"
& multiply("d5","d3") = "d0"
& multiply("d5","d2") = "d5"
& multiply("d5","d1") = "d4"
& multiply("d5","d0") = "d3"
& multiply("d4","d5") = "d0"
& multiply("d4","d4") = "d3"
& multiply("d4","d3") = "d2"
& multiply("d4","d2") = "d4"
& multiply("d4","d1") = "d5"
& multiply("d4","d0") = "d1"
& multiply("d3","d5") = "d1"
& multiply("d3","d4") = "d2"
& multiply("d3","d3") = "d4"
& multiply("d3","d2") = "d3"
& multiply("d3","d1") = "d0"
& multiply("d3","d0") = "d5"
& multiply("d2","d5") = "d5"
& multiply("d2","d4") = "d4"
& multiply("d2","d3") = "d3"
& multiply("d2","d2") = "d2"
& multiply("d2","d1") = "d1"
& multiply("d2","d0") = "d0"
& multiply("d1","d5") = "d3"
& multiply("d1","d4") = "d0"
& multiply("d1","d3") = "d5"
& multiply("d1","d2") = "d1"
& multiply("d1","d1") = "d2"
& multiply("d1","d0") = "d4"
& multiply("d0","d5") = "d4"
& multiply("d0","d4") = "d5"
& multiply("d0","d3") = "d1"
& multiply("d0","d2") = "d0"
& multiply("d0","d1") = "d3"
& multiply("d0","d0") = "d2"
& commutator("d5","d5") = "d2"
& commutator("d5","d4") = "d4"
& commutator("d5","d3") = "d3"
& commutator("d5","d2") = "d2"
& commutator("d5","d1") = "d3"
& commutator("d5","d0") = "d4"
& commutator("d4","d5") = "d3"
& commutator("d4","d4") = "d2"
& commutator("d4","d3") = "d2"
& commutator("d4","d2") = "d2"
& commutator("d4","d1") = "d3"
& commutator("d4","d0") = "d3"
& commutator("d3","d5") = "d4"
& commutator("d3","d4") = "d2"
& commutator("d3","d3") = "d2"
& commutator("d3","d2") = "d2"
& commutator("d3","d1") = "d4"
& commutator("d3","d0") = "d4"
& commutator("d2","d5") = "d2"
& commutator("d2","d4") = "d2"
& commutator("d2","d3") = "d2"
& commutator("d2","d2") = "d2"
& commutator("d2","d1") = "d2"
& commutator("d2","d0") = "d2"
& commutator("d1","d5") = "d4"
& commutator("d1","d4") = "d4"
& commutator("d1","d3") = "d3"
& commutator("d1","d2") = "d2"
& commutator("d1","d1") = "d2"
& commutator("d1","d0") = "d3"
& commutator("d0","d5") = "d3"
& commutator("d0","d4") = "d4"
& commutator("d0","d3") = "d3"
& commutator("d0","d2") = "d2"
& commutator("d0","d1") = "d4"
& commutator("d0","d0") = "d2"
& inverse("d5") = "d5"
& inverse("d4") = "d3"
& inverse("d3") = "d4"
& inverse("d2") = "d2"
& inverse("d1") = "d1"
& inverse("d0") = "d0"
& identity = "d2"
& g = "d0"
& f = "d1"
& e = "d0"
& c = "d0"
& b = "d0"
& a = "d0" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP024-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.38 % Computer : n016.cluster.edu
% 0.06/0.38 % Model : x86_64 x86_64
% 0.06/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.38 % Memory : 8046.5625MB
% 0.06/0.38 % OS : Linux 6.8.0-71-generic
% 0.06/0.38 % CPULimit : 300
% 0.06/0.38 % WCLimit : 300
% 0.06/0.38 % DateTime : Fri Sep 25 14:22:15 UTC 2026
% 0.06/0.38 % CPUTime :
% 0.06/0.39 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.06/0.39 % Process 2573869 was started by sandbox on n016,
% 0.06/0.39 % Fri Sep 25 14:22:15 2026
% 0.06/0.39 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.84/1.09
% 0.84/1.09 % SZS status Satisfiable for theBenchmark
% 0.84/1.09 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------