%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : LAT053-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 07:48:42 AM UTC 2026
% Result : Satisfiable 1.77s 1.19s
% Output : FiniteModel 1.77s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d19"
| X = "d18"
| X = "d17"
| X = "d16"
| X = "d15"
| X = "d14"
| X = "d13"
| X = "d12"
| X = "d11"
| X = "d10"
| X = "d9"
| X = "d8"
| X = "d7"
| X = "d6"
| X = "d5"
| X = "d4"
| X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( meet("d19","d19") = "d19"
& meet("d19","d18") = "d2"
& meet("d19","d17") = "d17"
& meet("d19","d16") = "d3"
& meet("d19","d15") = "d17"
& meet("d19","d14") = "d2"
& meet("d19","d13") = "d13"
& meet("d19","d12") = "d3"
& meet("d19","d11") = "d17"
& meet("d19","d10") = "d2"
& meet("d19","d9") = "d9"
& meet("d19","d8") = "d2"
& meet("d19","d7") = "d3"
& meet("d19","d6") = "d6"
& meet("d19","d5") = "d19"
& meet("d19","d4") = "d2"
& meet("d19","d3") = "d3"
& meet("d19","d2") = "d2"
& meet("d19","d1") = "d6"
& meet("d19","d0") = "d17"
& meet("d18","d19") = "d2"
& meet("d18","d18") = "d18"
& meet("d18","d17") = "d2"
& meet("d18","d16") = "d18"
& meet("d18","d15") = "d2"
& meet("d18","d14") = "d2"
& meet("d18","d13") = "d2"
& meet("d18","d12") = "d18"
& meet("d18","d11") = "d2"
& meet("d18","d10") = "d2"
& meet("d18","d9") = "d2"
& meet("d18","d8") = "d18"
& meet("d18","d7") = "d18"
& meet("d18","d6") = "d2"
& meet("d18","d5") = "d18"
& meet("d18","d4") = "d2"
& meet("d18","d3") = "d2"
& meet("d18","d2") = "d2"
& meet("d18","d1") = "d2"
& meet("d18","d0") = "d18"
& meet("d17","d19") = "d17"
& meet("d17","d18") = "d2"
& meet("d17","d17") = "d17"
& meet("d17","d16") = "d2"
& meet("d17","d15") = "d17"
& meet("d17","d14") = "d2"
& meet("d17","d13") = "d13"
& meet("d17","d12") = "d2"
& meet("d17","d11") = "d17"
& meet("d17","d10") = "d2"
& meet("d17","d9") = "d13"
& meet("d17","d8") = "d2"
& meet("d17","d7") = "d2"
& meet("d17","d6") = "d6"
& meet("d17","d5") = "d17"
& meet("d17","d4") = "d2"
& meet("d17","d3") = "d2"
& meet("d17","d2") = "d2"
& meet("d17","d1") = "d6"
& meet("d17","d0") = "d17"
& meet("d16","d19") = "d3"
& meet("d16","d18") = "d18"
& meet("d16","d17") = "d2"
& meet("d16","d16") = "d16"
& meet("d16","d15") = "d10"
& meet("d16","d14") = "d14"
& meet("d16","d13") = "d2"
& meet("d16","d12") = "d16"
& meet("d16","d11") = "d14"
& meet("d16","d10") = "d10"
& meet("d16","d9") = "d3"
& meet("d16","d8") = "d18"
& meet("d16","d7") = "d16"
& meet("d16","d6") = "d2"
& meet("d16","d5") = "d16"
& meet("d16","d4") = "d14"
& meet("d16","d3") = "d3"
& meet("d16","d2") = "d2"
& meet("d16","d1") = "d10"
& meet("d16","d0") = "d18"
& meet("d15","d19") = "d17"
& meet("d15","d18") = "d2"
& meet("d15","d17") = "d17"
& meet("d15","d16") = "d10"
& meet("d15","d15") = "d15"
& meet("d15","d14") = "d2"
& meet("d15","d13") = "d13"
& meet("d15","d12") = "d10"
& meet("d15","d11") = "d17"
& meet("d15","d10") = "d10"
& meet("d15","d9") = "d13"
& meet("d15","d8") = "d2"
& meet("d15","d7") = "d10"
& meet("d15","d6") = "d6"
& meet("d15","d5") = "d15"
& meet("d15","d4") = "d2"
& meet("d15","d3") = "d2"
& meet("d15","d2") = "d2"
& meet("d15","d1") = "d1"
& meet("d15","d0") = "d17"
& meet("d14","d19") = "d2"
& meet("d14","d18") = "d2"
& meet("d14","d17") = "d2"
& meet("d14","d16") = "d14"
& meet("d14","d15") = "d2"
& meet("d14","d14") = "d14"
& meet("d14","d13") = "d2"
& meet("d14","d12") = "d14"
& meet("d14","d11") = "d14"
& meet("d14","d10") = "d2"
& meet("d14","d9") = "d2"
& meet("d14","d8") = "d2"
& meet("d14","d7") = "d14"
& meet("d14","d6") = "d2"
& meet("d14","d5") = "d14"
& meet("d14","d4") = "d14"
& meet("d14","d3") = "d2"
& meet("d14","d2") = "d2"
& meet("d14","d1") = "d2"
& meet("d14","d0") = "d2"
& meet("d13","d19") = "d13"
& meet("d13","d18") = "d2"
& meet("d13","d17") = "d13"
& meet("d13","d16") = "d2"
& meet("d13","d15") = "d13"
& meet("d13","d14") = "d2"
& meet("d13","d13") = "d13"
& meet("d13","d12") = "d2"
& meet("d13","d11") = "d13"
& meet("d13","d10") = "d2"
& meet("d13","d9") = "d13"
& meet("d13","d8") = "d2"
& meet("d13","d7") = "d2"
& meet("d13","d6") = "d6"
& meet("d13","d5") = "d13"
& meet("d13","d4") = "d2"
& meet("d13","d3") = "d2"
& meet("d13","d2") = "d2"
& meet("d13","d1") = "d6"
& meet("d13","d0") = "d13"
& meet("d12","d19") = "d3"
& meet("d12","d18") = "d18"
& meet("d12","d17") = "d2"
& meet("d12","d16") = "d16"
& meet("d12","d15") = "d10"
& meet("d12","d14") = "d14"
& meet("d12","d13") = "d2"
& meet("d12","d12") = "d12"
& meet("d12","d11") = "d14"
& meet("d12","d10") = "d10"
& meet("d12","d9") = "d3"
& meet("d12","d8") = "d8"
& meet("d12","d7") = "d12"
& meet("d12","d6") = "d2"
& meet("d12","d5") = "d12"
& meet("d12","d4") = "d14"
& meet("d12","d3") = "d3"
& meet("d12","d2") = "d2"
& meet("d12","d1") = "d10"
& meet("d12","d0") = "d8"
& meet("d11","d19") = "d17"
& meet("d11","d18") = "d2"
& meet("d11","d17") = "d17"
& meet("d11","d16") = "d14"
& meet("d11","d15") = "d17"
& meet("d11","d14") = "d14"
& meet("d11","d13") = "d13"
& meet("d11","d12") = "d14"
& meet("d11","d11") = "d11"
& meet("d11","d10") = "d2"
& meet("d11","d9") = "d13"
& meet("d11","d8") = "d2"
& meet("d11","d7") = "d4"
& meet("d11","d6") = "d6"
& meet("d11","d5") = "d11"
& meet("d11","d4") = "d4"
& meet("d11","d3") = "d2"
& meet("d11","d2") = "d2"
& meet("d11","d1") = "d6"
& meet("d11","d0") = "d17"
& meet("d10","d19") = "d2"
& meet("d10","d18") = "d2"
& meet("d10","d17") = "d2"
& meet("d10","d16") = "d10"
& meet("d10","d15") = "d10"
& meet("d10","d14") = "d2"
& meet("d10","d13") = "d2"
& meet("d10","d12") = "d10"
& meet("d10","d11") = "d2"
& meet("d10","d10") = "d10"
& meet("d10","d9") = "d2"
& meet("d10","d8") = "d2"
& meet("d10","d7") = "d10"
& meet("d10","d6") = "d2"
& meet("d10","d5") = "d10"
& meet("d10","d4") = "d2"
& meet("d10","d3") = "d2"
& meet("d10","d2") = "d2"
& meet("d10","d1") = "d10"
& meet("d10","d0") = "d2"
& meet("d9","d19") = "d9"
& meet("d9","d18") = "d2"
& meet("d9","d17") = "d13"
& meet("d9","d16") = "d3"
& meet("d9","d15") = "d13"
& meet("d9","d14") = "d2"
& meet("d9","d13") = "d13"
& meet("d9","d12") = "d3"
& meet("d9","d11") = "d13"
& meet("d9","d10") = "d2"
& meet("d9","d9") = "d9"
& meet("d9","d8") = "d2"
& meet("d9","d7") = "d3"
& meet("d9","d6") = "d6"
& meet("d9","d5") = "d9"
& meet("d9","d4") = "d2"
& meet("d9","d3") = "d3"
& meet("d9","d2") = "d2"
& meet("d9","d1") = "d6"
& meet("d9","d0") = "d13"
& meet("d8","d19") = "d2"
& meet("d8","d18") = "d18"
& meet("d8","d17") = "d2"
& meet("d8","d16") = "d18"
& meet("d8","d15") = "d2"
& meet("d8","d14") = "d2"
& meet("d8","d13") = "d2"
& meet("d8","d12") = "d8"
& meet("d8","d11") = "d2"
& meet("d8","d10") = "d2"
& meet("d8","d9") = "d2"
& meet("d8","d8") = "d8"
& meet("d8","d7") = "d8"
& meet("d8","d6") = "d2"
& meet("d8","d5") = "d8"
& meet("d8","d4") = "d2"
& meet("d8","d3") = "d2"
& meet("d8","d2") = "d2"
& meet("d8","d1") = "d2"
& meet("d8","d0") = "d8"
& meet("d7","d19") = "d3"
& meet("d7","d18") = "d18"
& meet("d7","d17") = "d2"
& meet("d7","d16") = "d16"
& meet("d7","d15") = "d10"
& meet("d7","d14") = "d14"
& meet("d7","d13") = "d2"
& meet("d7","d12") = "d12"
& meet("d7","d11") = "d4"
& meet("d7","d10") = "d10"
& meet("d7","d9") = "d3"
& meet("d7","d8") = "d8"
& meet("d7","d7") = "d7"
& meet("d7","d6") = "d2"
& meet("d7","d5") = "d7"
& meet("d7","d4") = "d4"
& meet("d7","d3") = "d3"
& meet("d7","d2") = "d2"
& meet("d7","d1") = "d10"
& meet("d7","d0") = "d8"
& meet("d6","d19") = "d6"
& meet("d6","d18") = "d2"
& meet("d6","d17") = "d6"
& meet("d6","d16") = "d2"
& meet("d6","d15") = "d6"
& meet("d6","d14") = "d2"
& meet("d6","d13") = "d6"
& meet("d6","d12") = "d2"
& meet("d6","d11") = "d6"
& meet("d6","d10") = "d2"
& meet("d6","d9") = "d6"
& meet("d6","d8") = "d2"
& meet("d6","d7") = "d2"
& meet("d6","d6") = "d6"
& meet("d6","d5") = "d6"
& meet("d6","d4") = "d2"
& meet("d6","d3") = "d2"
& meet("d6","d2") = "d2"
& meet("d6","d1") = "d6"
& meet("d6","d0") = "d6"
& meet("d5","d19") = "d19"
& meet("d5","d18") = "d18"
& meet("d5","d17") = "d17"
& meet("d5","d16") = "d16"
& meet("d5","d15") = "d15"
& meet("d5","d14") = "d14"
& meet("d5","d13") = "d13"
& meet("d5","d12") = "d12"
& meet("d5","d11") = "d11"
& meet("d5","d10") = "d10"
& meet("d5","d9") = "d9"
& meet("d5","d8") = "d8"
& meet("d5","d7") = "d7"
& meet("d5","d6") = "d6"
& meet("d5","d5") = "d5"
& meet("d5","d4") = "d4"
& meet("d5","d3") = "d3"
& meet("d5","d2") = "d2"
& meet("d5","d1") = "d1"
& meet("d5","d0") = "d0"
& meet("d4","d19") = "d2"
& meet("d4","d18") = "d2"
& meet("d4","d17") = "d2"
& meet("d4","d16") = "d14"
& meet("d4","d15") = "d2"
& meet("d4","d14") = "d14"
& meet("d4","d13") = "d2"
& meet("d4","d12") = "d14"
& meet("d4","d11") = "d4"
& meet("d4","d10") = "d2"
& meet("d4","d9") = "d2"
& meet("d4","d8") = "d2"
& meet("d4","d7") = "d4"
& meet("d4","d6") = "d2"
& meet("d4","d5") = "d4"
& meet("d4","d4") = "d4"
& meet("d4","d3") = "d2"
& meet("d4","d2") = "d2"
& meet("d4","d1") = "d2"
& meet("d4","d0") = "d2"
& meet("d3","d19") = "d3"
& meet("d3","d18") = "d2"
& meet("d3","d17") = "d2"
& meet("d3","d16") = "d3"
& meet("d3","d15") = "d2"
& meet("d3","d14") = "d2"
& meet("d3","d13") = "d2"
& meet("d3","d12") = "d3"
& meet("d3","d11") = "d2"
& meet("d3","d10") = "d2"
& meet("d3","d9") = "d3"
& meet("d3","d8") = "d2"
& meet("d3","d7") = "d3"
& meet("d3","d6") = "d2"
& meet("d3","d5") = "d3"
& meet("d3","d4") = "d2"
& meet("d3","d3") = "d3"
& meet("d3","d2") = "d2"
& meet("d3","d1") = "d2"
& meet("d3","d0") = "d2"
& meet("d2","d19") = "d2"
& meet("d2","d18") = "d2"
& meet("d2","d17") = "d2"
& meet("d2","d16") = "d2"
& meet("d2","d15") = "d2"
& meet("d2","d14") = "d2"
& meet("d2","d13") = "d2"
& meet("d2","d12") = "d2"
& meet("d2","d11") = "d2"
& meet("d2","d10") = "d2"
& meet("d2","d9") = "d2"
& meet("d2","d8") = "d2"
& meet("d2","d7") = "d2"
& meet("d2","d6") = "d2"
& meet("d2","d5") = "d2"
& meet("d2","d4") = "d2"
& meet("d2","d3") = "d2"
& meet("d2","d2") = "d2"
& meet("d2","d1") = "d2"
& meet("d2","d0") = "d2"
& meet("d1","d19") = "d6"
& meet("d1","d18") = "d2"
& meet("d1","d17") = "d6"
& meet("d1","d16") = "d10"
& meet("d1","d15") = "d1"
& meet("d1","d14") = "d2"
& meet("d1","d13") = "d6"
& meet("d1","d12") = "d10"
& meet("d1","d11") = "d6"
& meet("d1","d10") = "d10"
& meet("d1","d9") = "d6"
& meet("d1","d8") = "d2"
& meet("d1","d7") = "d10"
& meet("d1","d6") = "d6"
& meet("d1","d5") = "d1"
& meet("d1","d4") = "d2"
& meet("d1","d3") = "d2"
& meet("d1","d2") = "d2"
& meet("d1","d1") = "d1"
& meet("d1","d0") = "d6"
& meet("d0","d19") = "d17"
& meet("d0","d18") = "d18"
& meet("d0","d17") = "d17"
& meet("d0","d16") = "d18"
& meet("d0","d15") = "d17"
& meet("d0","d14") = "d2"
& meet("d0","d13") = "d13"
& meet("d0","d12") = "d8"
& meet("d0","d11") = "d17"
& meet("d0","d10") = "d2"
& meet("d0","d9") = "d13"
& meet("d0","d8") = "d8"
& meet("d0","d7") = "d8"
& meet("d0","d6") = "d6"
& meet("d0","d5") = "d0"
& meet("d0","d4") = "d2"
& meet("d0","d3") = "d2"
& meet("d0","d2") = "d2"
& meet("d0","d1") = "d6"
& meet("d0","d0") = "d0"
& join("d19","d19") = "d19"
& join("d19","d18") = "d5"
& join("d19","d17") = "d19"
& join("d19","d16") = "d5"
& join("d19","d15") = "d5"
& join("d19","d14") = "d5"
& join("d19","d13") = "d19"
& join("d19","d12") = "d5"
& join("d19","d11") = "d5"
& join("d19","d10") = "d5"
& join("d19","d9") = "d19"
& join("d19","d8") = "d5"
& join("d19","d7") = "d5"
& join("d19","d6") = "d19"
& join("d19","d5") = "d5"
& join("d19","d4") = "d5"
& join("d19","d3") = "d19"
& join("d19","d2") = "d19"
& join("d19","d1") = "d5"
& join("d19","d0") = "d5"
& join("d18","d19") = "d5"
& join("d18","d18") = "d18"
& join("d18","d17") = "d0"
& join("d18","d16") = "d16"
& join("d18","d15") = "d5"
& join("d18","d14") = "d16"
& join("d18","d13") = "d0"
& join("d18","d12") = "d12"
& join("d18","d11") = "d5"
& join("d18","d10") = "d16"
& join("d18","d9") = "d5"
& join("d18","d8") = "d8"
& join("d18","d7") = "d7"
& join("d18","d6") = "d0"
& join("d18","d5") = "d5"
& join("d18","d4") = "d7"
& join("d18","d3") = "d16"
& join("d18","d2") = "d18"
& join("d18","d1") = "d5"
& join("d18","d0") = "d0"
& join("d17","d19") = "d19"
& join("d17","d18") = "d0"
& join("d17","d17") = "d17"
& join("d17","d16") = "d5"
& join("d17","d15") = "d15"
& join("d17","d14") = "d11"
& join("d17","d13") = "d17"
& join("d17","d12") = "d5"
& join("d17","d11") = "d11"
& join("d17","d10") = "d15"
& join("d17","d9") = "d19"
& join("d17","d8") = "d0"
& join("d17","d7") = "d5"
& join("d17","d6") = "d17"
& join("d17","d5") = "d5"
& join("d17","d4") = "d11"
& join("d17","d3") = "d19"
& join("d17","d2") = "d17"
& join("d17","d1") = "d15"
& join("d17","d0") = "d0"
& join("d16","d19") = "d5"
& join("d16","d18") = "d16"
& join("d16","d17") = "d5"
& join("d16","d16") = "d16"
& join("d16","d15") = "d5"
& join("d16","d14") = "d16"
& join("d16","d13") = "d5"
& join("d16","d12") = "d12"
& join("d16","d11") = "d5"
& join("d16","d10") = "d16"
& join("d16","d9") = "d5"
& join("d16","d8") = "d12"
& join("d16","d7") = "d7"
& join("d16","d6") = "d5"
& join("d16","d5") = "d5"
& join("d16","d4") = "d7"
& join("d16","d3") = "d16"
& join("d16","d2") = "d16"
& join("d16","d1") = "d5"
& join("d16","d0") = "d5"
& join("d15","d19") = "d5"
& join("d15","d18") = "d5"
& join("d15","d17") = "d15"
& join("d15","d16") = "d5"
& join("d15","d15") = "d15"
& join("d15","d14") = "d5"
& join("d15","d13") = "d15"
& join("d15","d12") = "d5"
& join("d15","d11") = "d5"
& join("d15","d10") = "d15"
& join("d15","d9") = "d5"
& join("d15","d8") = "d5"
& join("d15","d7") = "d5"
& join("d15","d6") = "d15"
& join("d15","d5") = "d5"
& join("d15","d4") = "d5"
& join("d15","d3") = "d5"
& join("d15","d2") = "d15"
& join("d15","d1") = "d15"
& join("d15","d0") = "d5"
& join("d14","d19") = "d5"
& join("d14","d18") = "d16"
& join("d14","d17") = "d11"
& join("d14","d16") = "d16"
& join("d14","d15") = "d5"
& join("d14","d14") = "d14"
& join("d14","d13") = "d11"
& join("d14","d12") = "d12"
& join("d14","d11") = "d11"
& join("d14","d10") = "d16"
& join("d14","d9") = "d5"
& join("d14","d8") = "d12"
& join("d14","d7") = "d7"
& join("d14","d6") = "d11"
& join("d14","d5") = "d5"
& join("d14","d4") = "d4"
& join("d14","d3") = "d16"
& join("d14","d2") = "d14"
& join("d14","d1") = "d5"
& join("d14","d0") = "d5"
& join("d13","d19") = "d19"
& join("d13","d18") = "d0"
& join("d13","d17") = "d17"
& join("d13","d16") = "d5"
& join("d13","d15") = "d15"
& join("d13","d14") = "d11"
& join("d13","d13") = "d13"
& join("d13","d12") = "d5"
& join("d13","d11") = "d11"
& join("d13","d10") = "d15"
& join("d13","d9") = "d9"
& join("d13","d8") = "d0"
& join("d13","d7") = "d5"
& join("d13","d6") = "d13"
& join("d13","d5") = "d5"
& join("d13","d4") = "d11"
& join("d13","d3") = "d9"
& join("d13","d2") = "d13"
& join("d13","d1") = "d15"
& join("d13","d0") = "d0"
& join("d12","d19") = "d5"
& join("d12","d18") = "d12"
& join("d12","d17") = "d5"
& join("d12","d16") = "d12"
& join("d12","d15") = "d5"
& join("d12","d14") = "d12"
& join("d12","d13") = "d5"
& join("d12","d12") = "d12"
& join("d12","d11") = "d5"
& join("d12","d10") = "d12"
& join("d12","d9") = "d5"
& join("d12","d8") = "d12"
& join("d12","d7") = "d7"
& join("d12","d6") = "d5"
& join("d12","d5") = "d5"
& join("d12","d4") = "d7"
& join("d12","d3") = "d12"
& join("d12","d2") = "d12"
& join("d12","d1") = "d5"
& join("d12","d0") = "d5"
& join("d11","d19") = "d5"
& join("d11","d18") = "d5"
& join("d11","d17") = "d11"
& join("d11","d16") = "d5"
& join("d11","d15") = "d5"
& join("d11","d14") = "d11"
& join("d11","d13") = "d11"
& join("d11","d12") = "d5"
& join("d11","d11") = "d11"
& join("d11","d10") = "d5"
& join("d11","d9") = "d5"
& join("d11","d8") = "d5"
& join("d11","d7") = "d5"
& join("d11","d6") = "d11"
& join("d11","d5") = "d5"
& join("d11","d4") = "d11"
& join("d11","d3") = "d5"
& join("d11","d2") = "d11"
& join("d11","d1") = "d5"
& join("d11","d0") = "d5"
& join("d10","d19") = "d5"
& join("d10","d18") = "d16"
& join("d10","d17") = "d15"
& join("d10","d16") = "d16"
& join("d10","d15") = "d15"
& join("d10","d14") = "d16"
& join("d10","d13") = "d15"
& join("d10","d12") = "d12"
& join("d10","d11") = "d5"
& join("d10","d10") = "d10"
& join("d10","d9") = "d5"
& join("d10","d8") = "d12"
& join("d10","d7") = "d7"
& join("d10","d6") = "d1"
& join("d10","d5") = "d5"
& join("d10","d4") = "d7"
& join("d10","d3") = "d16"
& join("d10","d2") = "d10"
& join("d10","d1") = "d1"
& join("d10","d0") = "d5"
& join("d9","d19") = "d19"
& join("d9","d18") = "d5"
& join("d9","d17") = "d19"
& join("d9","d16") = "d5"
& join("d9","d15") = "d5"
& join("d9","d14") = "d5"
& join("d9","d13") = "d9"
& join("d9","d12") = "d5"
& join("d9","d11") = "d5"
& join("d9","d10") = "d5"
& join("d9","d9") = "d9"
& join("d9","d8") = "d5"
& join("d9","d7") = "d5"
& join("d9","d6") = "d9"
& join("d9","d5") = "d5"
& join("d9","d4") = "d5"
& join("d9","d3") = "d9"
& join("d9","d2") = "d9"
& join("d9","d1") = "d5"
& join("d9","d0") = "d5"
& join("d8","d19") = "d5"
& join("d8","d18") = "d8"
& join("d8","d17") = "d0"
& join("d8","d16") = "d12"
& join("d8","d15") = "d5"
& join("d8","d14") = "d12"
& join("d8","d13") = "d0"
& join("d8","d12") = "d12"
& join("d8","d11") = "d5"
& join("d8","d10") = "d12"
& join("d8","d9") = "d5"
& join("d8","d8") = "d8"
& join("d8","d7") = "d7"
& join("d8","d6") = "d0"
& join("d8","d5") = "d5"
& join("d8","d4") = "d7"
& join("d8","d3") = "d12"
& join("d8","d2") = "d8"
& join("d8","d1") = "d5"
& join("d8","d0") = "d0"
& join("d7","d19") = "d5"
& join("d7","d18") = "d7"
& join("d7","d17") = "d5"
& join("d7","d16") = "d7"
& join("d7","d15") = "d5"
& join("d7","d14") = "d7"
& join("d7","d13") = "d5"
& join("d7","d12") = "d7"
& join("d7","d11") = "d5"
& join("d7","d10") = "d7"
& join("d7","d9") = "d5"
& join("d7","d8") = "d7"
& join("d7","d7") = "d7"
& join("d7","d6") = "d5"
& join("d7","d5") = "d5"
& join("d7","d4") = "d7"
& join("d7","d3") = "d7"
& join("d7","d2") = "d7"
& join("d7","d1") = "d5"
& join("d7","d0") = "d5"
& join("d6","d19") = "d19"
& join("d6","d18") = "d0"
& join("d6","d17") = "d17"
& join("d6","d16") = "d5"
& join("d6","d15") = "d15"
& join("d6","d14") = "d11"
& join("d6","d13") = "d13"
& join("d6","d12") = "d5"
& join("d6","d11") = "d11"
& join("d6","d10") = "d1"
& join("d6","d9") = "d9"
& join("d6","d8") = "d0"
& join("d6","d7") = "d5"
& join("d6","d6") = "d6"
& join("d6","d5") = "d5"
& join("d6","d4") = "d11"
& join("d6","d3") = "d9"
& join("d6","d2") = "d6"
& join("d6","d1") = "d1"
& join("d6","d0") = "d0"
& join("d5","d19") = "d5"
& join("d5","d18") = "d5"
& join("d5","d17") = "d5"
& join("d5","d16") = "d5"
& join("d5","d15") = "d5"
& join("d5","d14") = "d5"
& join("d5","d13") = "d5"
& join("d5","d12") = "d5"
& join("d5","d11") = "d5"
& join("d5","d10") = "d5"
& join("d5","d9") = "d5"
& join("d5","d8") = "d5"
& join("d5","d7") = "d5"
& join("d5","d6") = "d5"
& join("d5","d5") = "d5"
& join("d5","d4") = "d5"
& join("d5","d3") = "d5"
& join("d5","d2") = "d5"
& join("d5","d1") = "d5"
& join("d5","d0") = "d5"
& join("d4","d19") = "d5"
& join("d4","d18") = "d7"
& join("d4","d17") = "d11"
& join("d4","d16") = "d7"
& join("d4","d15") = "d5"
& join("d4","d14") = "d4"
& join("d4","d13") = "d11"
& join("d4","d12") = "d7"
& join("d4","d11") = "d11"
& join("d4","d10") = "d7"
& join("d4","d9") = "d5"
& join("d4","d8") = "d7"
& join("d4","d7") = "d7"
& join("d4","d6") = "d11"
& join("d4","d5") = "d5"
& join("d4","d4") = "d4"
& join("d4","d3") = "d7"
& join("d4","d2") = "d4"
& join("d4","d1") = "d5"
& join("d4","d0") = "d5"
& join("d3","d19") = "d19"
& join("d3","d18") = "d16"
& join("d3","d17") = "d19"
& join("d3","d16") = "d16"
& join("d3","d15") = "d5"
& join("d3","d14") = "d16"
& join("d3","d13") = "d9"
& join("d3","d12") = "d12"
& join("d3","d11") = "d5"
& join("d3","d10") = "d16"
& join("d3","d9") = "d9"
& join("d3","d8") = "d12"
& join("d3","d7") = "d7"
& join("d3","d6") = "d9"
& join("d3","d5") = "d5"
& join("d3","d4") = "d7"
& join("d3","d3") = "d3"
& join("d3","d2") = "d3"
& join("d3","d1") = "d5"
& join("d3","d0") = "d5"
& join("d2","d19") = "d19"
& join("d2","d18") = "d18"
& join("d2","d17") = "d17"
& join("d2","d16") = "d16"
& join("d2","d15") = "d15"
& join("d2","d14") = "d14"
& join("d2","d13") = "d13"
& join("d2","d12") = "d12"
& join("d2","d11") = "d11"
& join("d2","d10") = "d10"
& join("d2","d9") = "d9"
& join("d2","d8") = "d8"
& join("d2","d7") = "d7"
& join("d2","d6") = "d6"
& join("d2","d5") = "d5"
& join("d2","d4") = "d4"
& join("d2","d3") = "d3"
& join("d2","d2") = "d2"
& join("d2","d1") = "d1"
& join("d2","d0") = "d0"
& join("d1","d19") = "d5"
& join("d1","d18") = "d5"
& join("d1","d17") = "d15"
& join("d1","d16") = "d5"
& join("d1","d15") = "d15"
& join("d1","d14") = "d5"
& join("d1","d13") = "d15"
& join("d1","d12") = "d5"
& join("d1","d11") = "d5"
& join("d1","d10") = "d1"
& join("d1","d9") = "d5"
& join("d1","d8") = "d5"
& join("d1","d7") = "d5"
& join("d1","d6") = "d1"
& join("d1","d5") = "d5"
& join("d1","d4") = "d5"
& join("d1","d3") = "d5"
& join("d1","d2") = "d1"
& join("d1","d1") = "d1"
& join("d1","d0") = "d5"
& join("d0","d19") = "d5"
& join("d0","d18") = "d0"
& join("d0","d17") = "d0"
& join("d0","d16") = "d5"
& join("d0","d15") = "d5"
& join("d0","d14") = "d5"
& join("d0","d13") = "d0"
& join("d0","d12") = "d5"
& join("d0","d11") = "d5"
& join("d0","d10") = "d5"
& join("d0","d9") = "d5"
& join("d0","d8") = "d0"
& join("d0","d7") = "d5"
& join("d0","d6") = "d0"
& join("d0","d5") = "d5"
& join("d0","d4") = "d5"
& join("d0","d3") = "d5"
& join("d0","d2") = "d0"
& join("d0","d1") = "d5"
& join("d0","d0") = "d0"
& complement("d19") = "d18"
& complement("d18") = "d19"
& complement("d17") = "d16"
& complement("d16") = "d17"
& complement("d15") = "d14"
& complement("d14") = "d15"
& complement("d13") = "d12"
& complement("d12") = "d13"
& complement("d11") = "d10"
& complement("d10") = "d11"
& complement("d9") = "d8"
& complement("d8") = "d9"
& complement("d7") = "d6"
& complement("d6") = "d7"
& complement("d5") = "d2"
& complement("d4") = "d1"
& complement("d3") = "d0"
& complement("d2") = "d5"
& complement("d1") = "d4"
& complement("d0") = "d3"
& n1 = "d5"
& n0 = "d2"
& b = "d1"
& a = "d0" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT053-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36 % Computer : n007.cluster.edu
% 0.06/0.36 % Model : x86_64 x86_64
% 0.06/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.36 % Memory : 8046.5625MB
% 0.06/0.36 % OS : Linux 6.8.0-71-generic
% 0.06/0.36 % CPULimit : 300
% 0.06/0.36 % WCLimit : 300
% 0.06/0.36 % DateTime : Fri Sep 25 19:57:39 UTC 2026
% 0.06/0.37 % CPUTime :
% 0.06/0.37 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.06/0.37 % Process 1742531 was started by sandbox on n007,
% 0.06/0.37 % Fri Sep 25 19:57:39 2026
% 0.06/0.37 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.77/1.19
% 1.77/1.19 % SZS status Satisfiable for theBenchmark
% 1.77/1.19 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------