%------------------------------------------------------------------------------
% File : Mace4---2026-3Q
% Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -tptp -t 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 30 07:25:52 PM UTC 2026
% Result : Satisfiable 0.20s 0.36s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO661+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : mace4 -tptp -t 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Computer : n020.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Mar 30 12:54:30 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % Mace4 (64) version 2026-3Q, March 2026.
% 0.16/0.35 % Process 2301 was started by sandbox on n020.cluster.edu,
% 0.16/0.35 % Mon Mar 30 12:54:30 2026
% 0.16/0.35 % The command was "/export/starexec/sandbox/solver/bin/mace4 -tptp -t 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.35
% 0.16/0.35 % Mace4 starting on domain size 2.
% 0.20/0.36 % SZS output start FiniteModel for theBenchmark
% 0.20/0.36 fof(interp_domain, interpretation-domains,
% 0.20/0.36 ! [X] : ( X = "d0" | X = "d1" )).
% 0.20/0.36
% 0.20/0.36 fof(interp_functions, interpretation-mappings, (
% 0.20/0.36 c1 = "d0" &
% 0.20/0.36 c2 = "d0" &
% 0.20/0.36 c3 = "d0" &
% 0.20/0.36 f1("d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f1("d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f1("d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f1("d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f1("d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f1("d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f1("d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f1("d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f1("d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f1("d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f1("d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f1("d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f1("d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f1("d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f1("d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f1("d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f2("d0","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f2("d0","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f2("d0","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f2("d0","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f2("d0","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f2("d0","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f2("d0","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f2("d0","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f2("d0","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f2("d0","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f2("d0","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f2("d0","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f2("d0","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f2("d0","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f2("d0","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f2("d0","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f2("d1","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f2("d1","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f2("d1","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f2("d1","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f2("d1","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f2("d1","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f2("d1","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f2("d1","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f2("d1","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f2("d1","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f2("d1","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f2("d1","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f2("d1","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f2("d1","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f2("d1","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f2("d1","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f3("d0","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f3("d0","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f3("d0","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f3("d0","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f3("d0","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f3("d0","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f3("d0","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f3("d0","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f3("d0","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f3("d0","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f3("d0","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f3("d0","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f3("d0","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f3("d0","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f3("d0","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f3("d0","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f3("d1","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f3("d1","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f3("d1","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f3("d1","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f3("d1","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f3("d1","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f3("d1","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f3("d1","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f3("d1","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f3("d1","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f3("d1","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f3("d1","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f3("d1","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f3("d1","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f3("d1","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f3("d1","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f4("d0","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f4("d0","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f4("d0","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f4("d0","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f4("d0","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f4("d0","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f4("d0","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f4("d0","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f4("d0","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f4("d0","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f4("d0","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f4("d0","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f4("d0","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f4("d0","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f4("d0","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f4("d0","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f4("d1","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f4("d1","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f4("d1","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f4("d1","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f4("d1","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f4("d1","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f4("d1","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f4("d1","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f4("d1","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f4("d1","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f4("d1","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f4("d1","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f4("d1","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f4("d1","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f4("d1","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f4("d1","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d0","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d0","d1","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d0","d1","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d0","d1","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d0","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d0","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d0","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d0","d1","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d1","d0","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d1","d0","d1") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d1","d1","d0") = "d0" &
% 0.20/0.36 f5("d1","d1","d1","d1","d1","d1") = "d0" )).
% 0.20/0.36
% 0.20/0.36 fof(interp_relations, interpretation-mappings, (
% 0.20/0.36 ~between("d0","d0","d0") &
% 0.20/0.36 ~between("d0","d0","d1") &
% 0.20/0.36 ~between("d0","d1","d0") &
% 0.20/0.36 ~between("d0","d1","d1") &
% 0.20/0.36 ~between("d1","d0","d0") &
% 0.20/0.36 ~between("d1","d0","d1") &
% 0.20/0.36 ~between("d1","d1","d0") &
% 0.20/0.36 ~between("d1","d1","d1") &
% 0.20/0.36 equidistant("d0","d0","d0","d0") &
% 0.20/0.36 ~equidistant("d0","d0","d0","d1") &
% 0.20/0.36 ~equidistant("d0","d0","d1","d0") &
% 0.20/0.36 ~equidistant("d0","d0","d1","d1") &
% 0.20/0.36 ~equidistant("d0","d1","d0","d0") &
% 0.20/0.36 equidistant("d0","d1","d0","d1") &
% 0.20/0.36 equidistant("d0","d1","d1","d0") &
% 0.20/0.36 ~equidistant("d0","d1","d1","d1") &
% 0.20/0.36 ~equidistant("d1","d0","d0","d0") &
% 0.20/0.36 equidistant("d1","d0","d0","d1") &
% 0.20/0.36 equidistant("d1","d0","d1","d0") &
% 0.20/0.36 ~equidistant("d1","d0","d1","d1") &
% 0.20/0.36 ~equidistant("d1","d1","d0","d0") &
% 0.20/0.36 ~equidistant("d1","d1","d0","d1") &
% 0.20/0.36 ~equidistant("d1","d1","d1","d0") &
% 0.20/0.36 equidistant("d1","d1","d1","d1") )).
% 0.20/0.36
% 0.20/0.36 % SZS output end FiniteModel for theBenchmark
% 0.20/0.36
% 0.20/0.36 % SZS status Satisfiable for theBenchmark
%------------------------------------------------------------------------------