%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : NUM441+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 08:14:49 AM UTC 2026
% Result : CounterSatisfiable 16.02s 26.48s
% Output : FiniteModel 16.02s
% 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,
( szAzrzSzezqlpdtcmdtrp0("d2","d2") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d2","d1") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d2","d0") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d1","d2") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d1","d1") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d1","d0") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d0","d2") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d0","d1") = "d0"
& szAzrzSzezqlpdtcmdtrp0("d0","d0") = "d0"
& sdtslmnbsdt0("d2","d2") = "d2"
& sdtslmnbsdt0("d2","d1") = "d0"
& sdtslmnbsdt0("d2","d0") = "d2"
& sdtslmnbsdt0("d1","d2") = "d0"
& sdtslmnbsdt0("d1","d1") = "d0"
& sdtslmnbsdt0("d1","d0") = "d0"
& sdtslmnbsdt0("d0","d2") = "d2"
& sdtslmnbsdt0("d0","d1") = "d0"
& sdtslmnbsdt0("d0","d0") = "d1"
& sdtpldt0("d2","d2") = "d0"
& sdtpldt0("d2","d1") = "d0"
& sdtpldt0("d2","d0") = "d0"
& sdtpldt0("d1","d2") = "d0"
& sdtpldt0("d1","d1") = "d0"
& sdtpldt0("d1","d0") = "d0"
& sdtpldt0("d0","d2") = "d0"
& sdtpldt0("d0","d1") = "d0"
& sdtpldt0("d0","d0") = "d0"
& sdtbsmnsldt0("d2","d2") = "d2"
& sdtbsmnsldt0("d2","d1") = "d0"
& sdtbsmnsldt0("d2","d0") = "d1"
& sdtbsmnsldt0("d1","d2") = "d0"
& sdtbsmnsldt0("d1","d1") = "d0"
& sdtbsmnsldt0("d1","d0") = "d0"
& sdtbsmnsldt0("d0","d2") = "d1"
& sdtbsmnsldt0("d0","d1") = "d0"
& sdtbsmnsldt0("d0","d0") = "d1"
& sdtasdt0("d2","d2") = "d0"
& sdtasdt0("d2","d1") = "d0"
& sdtasdt0("d2","d0") = "d0"
& sdtasdt0("d1","d2") = "d0"
& sdtasdt0("d1","d1") = "d0"
& sdtasdt0("d1","d0") = "d0"
& sdtasdt0("d0","d2") = "d0"
& sdtasdt0("d0","d1") = "d0"
& sdtasdt0("d0","d0") = "d0"
& stldt0("d2") = "d1"
& stldt0("d1") = "d2"
& stldt0("d0") = "d2"
& smndt0("d2") = "d0"
& smndt0("d1") = "d0"
& smndt0("d0") = "d0"
& sbsmnsldt0("d2") = "d2"
& sbsmnsldt0("d1") = "d1"
& sbsmnsldt0("d0") = "d0"
& xB = "d0"
& xA = "d0"
& sz10 = "d0"
& sz00 = "d0"
& cS1395 = "d0"
& f11("d2","d2","d2") = "d0"
& f11("d2","d2","d1") = "d0"
& f11("d2","d2","d0") = "d0"
& f11("d2","d1","d2") = "d0"
& f11("d2","d1","d1") = "d0"
& f11("d2","d1","d0") = "d0"
& f11("d2","d0","d2") = "d0"
& f11("d2","d0","d1") = "d0"
& f11("d2","d0","d0") = "d0"
& f11("d1","d2","d2") = "d0"
& f11("d1","d2","d1") = "d0"
& f11("d1","d2","d0") = "d0"
& f11("d1","d1","d2") = "d0"
& f11("d1","d1","d1") = "d0"
& f11("d1","d1","d0") = "d0"
& f11("d1","d0","d2") = "d0"
& f11("d1","d0","d1") = "d0"
& f11("d1","d0","d0") = "d0"
& f11("d0","d2","d2") = "d0"
& f11("d0","d2","d1") = "d0"
& f11("d0","d2","d0") = "d0"
& f11("d0","d1","d2") = "d0"
& f11("d0","d1","d1") = "d0"
& f11("d0","d1","d0") = "d0"
& f11("d0","d0","d2") = "d0"
& f11("d0","d0","d1") = "d0"
& f11("d0","d0","d0") = "d0"
& f7("d2","d2","d2") = "d0"
& f7("d2","d2","d1") = "d0"
& f7("d2","d2","d0") = "d0"
& f7("d2","d1","d2") = "d0"
& f7("d2","d1","d1") = "d0"
& f7("d2","d1","d0") = "d0"
& f7("d2","d0","d2") = "d0"
& f7("d2","d0","d1") = "d0"
& f7("d2","d0","d0") = "d0"
& f7("d1","d2","d2") = "d0"
& f7("d1","d2","d1") = "d0"
& f7("d1","d2","d0") = "d0"
& f7("d1","d1","d2") = "d0"
& f7("d1","d1","d1") = "d0"
& f7("d1","d1","d0") = "d0"
& f7("d1","d0","d2") = "d0"
& f7("d1","d0","d1") = "d0"
& f7("d1","d0","d0") = "d0"
& f7("d0","d2","d2") = "d0"
& f7("d0","d2","d1") = "d0"
& f7("d0","d2","d0") = "d0"
& f7("d0","d1","d2") = "d0"
& f7("d0","d1","d1") = "d0"
& f7("d0","d1","d0") = "d0"
& f7("d0","d0","d2") = "d0"
& f7("d0","d0","d1") = "d0"
& f7("d0","d0","d0") = "d0"
& f5("d2","d2","d2") = "d0"
& f5("d2","d2","d1") = "d0"
& f5("d2","d2","d0") = "d0"
& f5("d2","d1","d2") = "d0"
& f5("d2","d1","d1") = "d0"
& f5("d2","d1","d0") = "d0"
& f5("d2","d0","d2") = "d0"
& f5("d2","d0","d1") = "d0"
& f5("d2","d0","d0") = "d0"
& f5("d1","d2","d2") = "d0"
& f5("d1","d2","d1") = "d0"
& f5("d1","d2","d0") = "d0"
& f5("d1","d1","d2") = "d0"
& f5("d1","d1","d1") = "d0"
& f5("d1","d1","d0") = "d0"
& f5("d1","d0","d2") = "d0"
& f5("d1","d0","d1") = "d0"
& f5("d1","d0","d0") = "d0"
& f5("d0","d2","d2") = "d0"
& f5("d0","d2","d1") = "d0"
& f5("d0","d2","d0") = "d0"
& f5("d0","d1","d2") = "d0"
& f5("d0","d1","d1") = "d0"
& f5("d0","d1","d0") = "d0"
& f5("d0","d0","d2") = "d0"
& f5("d0","d0","d1") = "d0"
& f5("d0","d0","d0") = "d0"
& f4("d2","d2","d2") = "d0"
& f4("d2","d2","d1") = "d0"
& f4("d2","d2","d0") = "d0"
& f4("d2","d1","d2") = "d0"
& f4("d2","d1","d1") = "d0"
& f4("d2","d1","d0") = "d0"
& f4("d2","d0","d2") = "d0"
& f4("d2","d0","d1") = "d0"
& f4("d2","d0","d0") = "d0"
& f4("d1","d2","d2") = "d0"
& f4("d1","d2","d1") = "d0"
& f4("d1","d2","d0") = "d0"
& f4("d1","d1","d2") = "d0"
& f4("d1","d1","d1") = "d0"
& f4("d1","d1","d0") = "d0"
& f4("d1","d0","d2") = "d0"
& f4("d1","d0","d1") = "d0"
& f4("d1","d0","d0") = "d0"
& f4("d0","d2","d2") = "d0"
& f4("d0","d2","d1") = "d0"
& f4("d0","d2","d0") = "d0"
& f4("d0","d1","d2") = "d0"
& f4("d0","d1","d1") = "d0"
& f4("d0","d1","d0") = "d0"
& f4("d0","d0","d2") = "d0"
& f4("d0","d0","d1") = "d0"
& f4("d0","d0","d0") = "d0"
& f12("d2","d2") = "d0"
& f12("d2","d1") = "d0"
& f12("d2","d0") = "d0"
& f12("d1","d2") = "d0"
& f12("d1","d1") = "d0"
& f12("d1","d0") = "d0"
& f12("d0","d2") = "d0"
& f12("d0","d1") = "d0"
& f12("d0","d0") = "d0"
& f10("d2","d2") = "d0"
& f10("d2","d1") = "d0"
& f10("d2","d0") = "d0"
& f10("d1","d2") = "d0"
& f10("d1","d1") = "d0"
& f10("d1","d0") = "d0"
& f10("d0","d2") = "d0"
& f10("d0","d1") = "d0"
& f10("d0","d0") = "d0"
& f9("d2","d2") = "d0"
& f9("d2","d1") = "d0"
& f9("d2","d0") = "d0"
& f9("d1","d2") = "d0"
& f9("d1","d1") = "d0"
& f9("d1","d0") = "d0"
& f9("d0","d2") = "d0"
& f9("d0","d1") = "d0"
& f9("d0","d0") = "d0"
& f8("d2","d2") = "d0"
& f8("d2","d1") = "d0"
& f8("d2","d0") = "d0"
& f8("d1","d2") = "d0"
& f8("d1","d1") = "d0"
& f8("d1","d0") = "d0"
& f8("d0","d2") = "d0"
& f8("d0","d1") = "d0"
& f8("d0","d0") = "d0"
& f3("d2","d2") = "d0"
& f3("d2","d1") = "d0"
& f3("d2","d0") = "d0"
& f3("d1","d2") = "d0"
& f3("d1","d1") = "d0"
& f3("d1","d0") = "d0"
& f3("d0","d2") = "d0"
& f3("d0","d1") = "d0"
& f3("d0","d0") = "d0"
& f1("d2","d2") = "d0"
& f1("d2","d1") = "d0"
& f1("d2","d0") = "d0"
& f1("d1","d2") = "d0"
& f1("d1","d1") = "d0"
& f1("d1","d0") = "d0"
& f1("d0","d2") = "d0"
& f1("d0","d1") = "d0"
& f1("d0","d0") = "d0"
& f14("d2") = "d0"
& f14("d1") = "d0"
& f14("d0") = "d0"
& f13("d2") = "d0"
& f13("d1") = "d0"
& f13("d0") = "d0"
& f6("d2") = "d0"
& f6("d1") = "d0"
& f6("d0") = "d0"
& f2("d2") = "d0"
& f2("d1") = "d0"
& f2("d0") = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ sdteqdtlpzmzozddtrp0("d2","d2","d2")
& ~ sdteqdtlpzmzozddtrp0("d2","d2","d1")
& ~ sdteqdtlpzmzozddtrp0("d2","d2","d0")
& ~ sdteqdtlpzmzozddtrp0("d2","d1","d2")
& ~ sdteqdtlpzmzozddtrp0("d2","d1","d1")
& ~ sdteqdtlpzmzozddtrp0("d2","d1","d0")
& ~ sdteqdtlpzmzozddtrp0("d2","d0","d2")
& ~ sdteqdtlpzmzozddtrp0("d2","d0","d1")
& ~ sdteqdtlpzmzozddtrp0("d2","d0","d0")
& ~ sdteqdtlpzmzozddtrp0("d1","d2","d2")
& ~ sdteqdtlpzmzozddtrp0("d1","d2","d1")
& ~ sdteqdtlpzmzozddtrp0("d1","d2","d0")
& ~ sdteqdtlpzmzozddtrp0("d1","d1","d2")
& ~ sdteqdtlpzmzozddtrp0("d1","d1","d1")
& ~ sdteqdtlpzmzozddtrp0("d1","d1","d0")
& ~ sdteqdtlpzmzozddtrp0("d1","d0","d2")
& ~ sdteqdtlpzmzozddtrp0("d1","d0","d1")
& ~ sdteqdtlpzmzozddtrp0("d1","d0","d0")
& ~ sdteqdtlpzmzozddtrp0("d0","d2","d2")
& ~ sdteqdtlpzmzozddtrp0("d0","d2","d1")
& ~ sdteqdtlpzmzozddtrp0("d0","d2","d0")
& ~ sdteqdtlpzmzozddtrp0("d0","d1","d2")
& ~ sdteqdtlpzmzozddtrp0("d0","d1","d1")
& ~ sdteqdtlpzmzozddtrp0("d0","d1","d0")
& ~ sdteqdtlpzmzozddtrp0("d0","d0","d2")
& ~ sdteqdtlpzmzozddtrp0("d0","d0","d1")
& ~ sdteqdtlpzmzozddtrp0("d0","d0","d0")
& aSubsetOf0("d2","d2")
& aSubsetOf0("d2","d1")
& aSubsetOf0("d2","d0")
& ~ aSubsetOf0("d1","d2")
& aSubsetOf0("d1","d1")
& ~ aSubsetOf0("d1","d0")
& ~ aSubsetOf0("d0","d2")
& ~ aSubsetOf0("d0","d1")
& aSubsetOf0("d0","d0")
& ~ aElementOf0("d2","d2")
& ~ aElementOf0("d2","d1")
& ~ aElementOf0("d2","d0")
& ~ aElementOf0("d1","d2")
& ~ aElementOf0("d1","d1")
& ~ aElementOf0("d1","d0")
& ~ aElementOf0("d0","d2")
& aElementOf0("d0","d1")
& aElementOf0("d0","d0")
& ~ aDivisorOf0("d2","d2")
& ~ aDivisorOf0("d2","d1")
& ~ aDivisorOf0("d2","d0")
& ~ aDivisorOf0("d1","d2")
& ~ aDivisorOf0("d1","d1")
& ~ aDivisorOf0("d1","d0")
& ~ aDivisorOf0("d0","d2")
& ~ aDivisorOf0("d0","d1")
& ~ aDivisorOf0("d0","d0")
& ~ isPrime0("d2")
& ~ isPrime0("d1")
& ~ isPrime0("d0")
& isOpen0("d2")
& ~ isOpen0("d1")
& ~ isOpen0("d0")
& ~ isClosed0("d2")
& ~ isClosed0("d1")
& isClosed0("d0")
& aSet0("d2")
& aSet0("d1")
& ~ aSet0("d0")
& ~ aInteger0("d2")
& ~ aInteger0("d1")
& aInteger0("d0") ) ).
fof(interp_extra_isFinite0,interpretation-mappings,
( ~ isFinite0("d2")
& ~ isFinite0("d1")
& ~ isFinite0("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM441+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.60 % Computer : n008.cluster.edu
% 0.12/10.60 % Model : x86_64 x86_64
% 0.12/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.60 % Memory : 8046.5625MB
% 0.12/10.60 % OS : Linux 6.8.0-71-generic
% 0.12/10.60 % CPULimit : 300
% 0.12/10.60 % WCLimit : 300
% 0.16/10.60 % DateTime : Sat Sep 26 02:46:19 UTC 2026
% 0.16/10.60 % CPUTime :
% 0.16/10.60 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/10.60 % Process 2628418 was started by sandbox2 on n008,
% 0.16/10.60 % Sat Sep 26 02:46:19 2026
% 0.16/10.60 % The command was "/export/starexec/sandbox2/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 16.02/26.48
% 16.02/26.48 % SZS status CounterSatisfiable for theBenchmark
% 16.02/26.48 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------