%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : ALG008-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 06:48:31 AM UTC 2026
% Result : Satisfiable 0.16s 0.87s
% Output : FiniteModel 0.16s
% 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,
( ifeq("d2","d2","d2","d2") = "d2"
& ifeq("d2","d2","d2","d1") = "d2"
& ifeq("d2","d2","d2","d0") = "d2"
& ifeq("d2","d2","d1","d2") = "d1"
& ifeq("d2","d2","d1","d1") = "d1"
& ifeq("d2","d2","d1","d0") = "d1"
& ifeq("d2","d2","d0","d2") = "d0"
& ifeq("d2","d2","d0","d1") = "d0"
& ifeq("d2","d2","d0","d0") = "d0"
& ifeq("d2","d1","d2","d2") = "d1"
& ifeq("d2","d1","d2","d1") = "d1"
& ifeq("d2","d1","d2","d0") = "d0"
& ifeq("d2","d1","d1","d2") = "d2"
& ifeq("d2","d1","d1","d1") = "d0"
& ifeq("d2","d1","d1","d0") = "d0"
& ifeq("d2","d1","d0","d2") = "d1"
& ifeq("d2","d1","d0","d1") = "d1"
& ifeq("d2","d1","d0","d0") = "d0"
& ifeq("d2","d0","d2","d2") = "d2"
& ifeq("d2","d0","d2","d1") = "d0"
& ifeq("d2","d0","d2","d0") = "d0"
& ifeq("d2","d0","d1","d2") = "d1"
& ifeq("d2","d0","d1","d1") = "d1"
& ifeq("d2","d0","d1","d0") = "d0"
& ifeq("d2","d0","d0","d2") = "d2"
& ifeq("d2","d0","d0","d1") = "d0"
& ifeq("d2","d0","d0","d0") = "d0"
& ifeq("d1","d2","d2","d2") = "d1"
& ifeq("d1","d2","d2","d1") = "d1"
& ifeq("d1","d2","d2","d0") = "d0"
& ifeq("d1","d2","d1","d2") = "d2"
& ifeq("d1","d2","d1","d1") = "d0"
& ifeq("d1","d2","d1","d0") = "d0"
& ifeq("d1","d2","d0","d2") = "d1"
& ifeq("d1","d2","d0","d1") = "d1"
& ifeq("d1","d2","d0","d0") = "d0"
& ifeq("d1","d1","d2","d2") = "d2"
& ifeq("d1","d1","d2","d1") = "d2"
& ifeq("d1","d1","d2","d0") = "d2"
& ifeq("d1","d1","d1","d2") = "d1"
& ifeq("d1","d1","d1","d1") = "d1"
& ifeq("d1","d1","d1","d0") = "d1"
& ifeq("d1","d1","d0","d2") = "d0"
& ifeq("d1","d1","d0","d1") = "d0"
& ifeq("d1","d1","d0","d0") = "d0"
& ifeq("d1","d0","d2","d2") = "d1"
& ifeq("d1","d0","d2","d1") = "d1"
& ifeq("d1","d0","d2","d0") = "d0"
& ifeq("d1","d0","d1","d2") = "d2"
& ifeq("d1","d0","d1","d1") = "d0"
& ifeq("d1","d0","d1","d0") = "d0"
& ifeq("d1","d0","d0","d2") = "d1"
& ifeq("d1","d0","d0","d1") = "d1"
& ifeq("d1","d0","d0","d0") = "d0"
& ifeq("d0","d2","d2","d2") = "d2"
& ifeq("d0","d2","d2","d1") = "d0"
& ifeq("d0","d2","d2","d0") = "d0"
& ifeq("d0","d2","d1","d2") = "d1"
& ifeq("d0","d2","d1","d1") = "d1"
& ifeq("d0","d2","d1","d0") = "d0"
& ifeq("d0","d2","d0","d2") = "d2"
& ifeq("d0","d2","d0","d1") = "d0"
& ifeq("d0","d2","d0","d0") = "d0"
& ifeq("d0","d1","d2","d2") = "d1"
& ifeq("d0","d1","d2","d1") = "d1"
& ifeq("d0","d1","d2","d0") = "d0"
& ifeq("d0","d1","d1","d2") = "d2"
& ifeq("d0","d1","d1","d1") = "d0"
& ifeq("d0","d1","d1","d0") = "d0"
& ifeq("d0","d1","d0","d2") = "d1"
& ifeq("d0","d1","d0","d1") = "d1"
& ifeq("d0","d1","d0","d0") = "d0"
& ifeq("d0","d0","d2","d2") = "d2"
& ifeq("d0","d0","d2","d1") = "d2"
& ifeq("d0","d0","d2","d0") = "d2"
& ifeq("d0","d0","d1","d2") = "d1"
& ifeq("d0","d0","d1","d1") = "d1"
& ifeq("d0","d0","d1","d0") = "d1"
& ifeq("d0","d0","d0","d2") = "d0"
& ifeq("d0","d0","d0","d1") = "d0"
& ifeq("d0","d0","d0","d0") = "d0"
& multiply("d2","d2") = "d2"
& multiply("d2","d1") = "d2"
& multiply("d2","d0") = "d0"
& multiply("d1","d2") = "d1"
& multiply("d1","d1") = "d1"
& multiply("d1","d0") = "d1"
& multiply("d0","d2") = "d0"
& multiply("d0","d1") = "d0"
& multiply("d0","d0") = "d2"
& identity = "d1"
& f = "d0"
& c4 = "d1"
& c3 = "d1"
& c2 = "d0"
& c1 = "d0"
& b = "d0"
& a = "d0" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG008-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.58 % Computer : n002.cluster.edu
% 0.12/0.58 % Model : x86_64 x86_64
% 0.12/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58 % Memory : 8046.5625MB
% 0.12/0.58 % OS : Linux 6.8.0-71-generic
% 0.12/0.58 % CPULimit : 300
% 0.12/0.58 % WCLimit : 300
% 0.12/0.58 % DateTime : Sat Sep 26 21:00:53 UTC 2026
% 0.12/0.59 % CPUTime :
% 0.12/0.59 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.59 % Process 2690779 was started by sandbox2 on n002,
% 0.12/0.59 % Sat Sep 26 21:00:53 2026
% 0.12/0.59 % The command was "/export/starexec/sandbox2/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.87
% 0.16/0.87 % SZS status Satisfiable for theBenchmark
% 0.16/0.87 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------