%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : PUZ072-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 08:22:33 AM UTC 2026
% Result : Satisfiable 8.97s 1.57s
% Output : FiniteModel 8.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d8"
| X = "d7"
| X = "d6"
| X = "d5"
| X = "d4"
| X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( s("d8") = "d0"
& s("d7") = "d8"
& s("d6") = "d7"
& s("d5") = "d6"
& s("d4") = "d5"
& s("d3") = "d4"
& s("d2") = "d3"
& s("d1") = "d2"
& s("d0") = "d1"
& n0 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ el("d8","d8","d8")
& ~ el("d8","d8","d7")
& ~ el("d8","d8","d6")
& ~ el("d8","d8","d5")
& ~ el("d8","d8","d4")
& ~ el("d8","d8","d3")
& el("d8","d8","d2")
& ~ el("d8","d8","d1")
& ~ el("d8","d8","d0")
& ~ el("d8","d7","d8")
& el("d8","d7","d7")
& ~ el("d8","d7","d6")
& ~ el("d8","d7","d5")
& ~ el("d8","d7","d4")
& ~ el("d8","d7","d3")
& ~ el("d8","d7","d2")
& ~ el("d8","d7","d1")
& ~ el("d8","d7","d0")
& ~ el("d8","d6","d8")
& ~ el("d8","d6","d7")
& ~ el("d8","d6","d6")
& ~ el("d8","d6","d5")
& ~ el("d8","d6","d4")
& ~ el("d8","d6","d3")
& ~ el("d8","d6","d2")
& ~ el("d8","d6","d1")
& el("d8","d6","d0")
& ~ el("d8","d5","d8")
& ~ el("d8","d5","d7")
& ~ el("d8","d5","d6")
& ~ el("d8","d5","d5")
& el("d8","d5","d4")
& ~ el("d8","d5","d3")
& ~ el("d8","d5","d2")
& ~ el("d8","d5","d1")
& ~ el("d8","d5","d0")
& ~ el("d8","d4","d8")
& ~ el("d8","d4","d7")
& ~ el("d8","d4","d6")
& ~ el("d8","d4","d5")
& ~ el("d8","d4","d4")
& ~ el("d8","d4","d3")
& ~ el("d8","d4","d2")
& el("d8","d4","d1")
& ~ el("d8","d4","d0")
& ~ el("d8","d3","d8")
& ~ el("d8","d3","d7")
& ~ el("d8","d3","d6")
& el("d8","d3","d5")
& ~ el("d8","d3","d4")
& ~ el("d8","d3","d3")
& ~ el("d8","d3","d2")
& ~ el("d8","d3","d1")
& ~ el("d8","d3","d0")
& ~ el("d8","d2","d8")
& ~ el("d8","d2","d7")
& ~ el("d8","d2","d6")
& ~ el("d8","d2","d5")
& ~ el("d8","d2","d4")
& el("d8","d2","d3")
& ~ el("d8","d2","d2")
& ~ el("d8","d2","d1")
& ~ el("d8","d2","d0")
& ~ el("d8","d1","d8")
& ~ el("d8","d1","d7")
& el("d8","d1","d6")
& ~ el("d8","d1","d5")
& ~ el("d8","d1","d4")
& ~ el("d8","d1","d3")
& ~ el("d8","d1","d2")
& ~ el("d8","d1","d1")
& ~ el("d8","d1","d0")
& el("d8","d0","d8")
& ~ el("d8","d0","d7")
& ~ el("d8","d0","d6")
& ~ el("d8","d0","d5")
& ~ el("d8","d0","d4")
& ~ el("d8","d0","d3")
& ~ el("d8","d0","d2")
& ~ el("d8","d0","d1")
& ~ el("d8","d0","d0")
& ~ el("d7","d8","d8")
& ~ el("d7","d8","d7")
& ~ el("d7","d8","d6")
& ~ el("d7","d8","d5")
& ~ el("d7","d8","d4")
& ~ el("d7","d8","d3")
& ~ el("d7","d8","d2")
& ~ el("d7","d8","d1")
& el("d7","d8","d0")
& ~ el("d7","d7","d8")
& ~ el("d7","d7","d7")
& ~ el("d7","d7","d6")
& ~ el("d7","d7","d5")
& ~ el("d7","d7","d4")
& ~ el("d7","d7","d3")
& ~ el("d7","d7","d2")
& el("d7","d7","d1")
& ~ el("d7","d7","d0")
& ~ el("d7","d6","d8")
& ~ el("d7","d6","d7")
& ~ el("d7","d6","d6")
& el("d7","d6","d5")
& ~ el("d7","d6","d4")
& ~ el("d7","d6","d3")
& ~ el("d7","d6","d2")
& ~ el("d7","d6","d1")
& ~ el("d7","d6","d0")
& ~ el("d7","d5","d8")
& ~ el("d7","d5","d7")
& ~ el("d7","d5","d6")
& ~ el("d7","d5","d5")
& ~ el("d7","d5","d4")
& el("d7","d5","d3")
& ~ el("d7","d5","d2")
& ~ el("d7","d5","d1")
& ~ el("d7","d5","d0")
& ~ el("d7","d4","d8")
& ~ el("d7","d4","d7")
& el("d7","d4","d6")
& ~ el("d7","d4","d5")
& ~ el("d7","d4","d4")
& ~ el("d7","d4","d3")
& ~ el("d7","d4","d2")
& ~ el("d7","d4","d1")
& ~ el("d7","d4","d0")
& ~ el("d7","d3","d8")
& ~ el("d7","d3","d7")
& ~ el("d7","d3","d6")
& ~ el("d7","d3","d5")
& ~ el("d7","d3","d4")
& ~ el("d7","d3","d3")
& el("d7","d3","d2")
& ~ el("d7","d3","d1")
& ~ el("d7","d3","d0")
& ~ el("d7","d2","d8")
& el("d7","d2","d7")
& ~ el("d7","d2","d6")
& ~ el("d7","d2","d5")
& ~ el("d7","d2","d4")
& ~ el("d7","d2","d3")
& ~ el("d7","d2","d2")
& ~ el("d7","d2","d1")
& ~ el("d7","d2","d0")
& el("d7","d1","d8")
& ~ el("d7","d1","d7")
& ~ el("d7","d1","d6")
& ~ el("d7","d1","d5")
& ~ el("d7","d1","d4")
& ~ el("d7","d1","d3")
& ~ el("d7","d1","d2")
& ~ el("d7","d1","d1")
& ~ el("d7","d1","d0")
& ~ el("d7","d0","d8")
& ~ el("d7","d0","d7")
& ~ el("d7","d0","d6")
& ~ el("d7","d0","d5")
& el("d7","d0","d4")
& ~ el("d7","d0","d3")
& ~ el("d7","d0","d2")
& ~ el("d7","d0","d1")
& ~ el("d7","d0","d0")
& ~ el("d6","d8","d8")
& ~ el("d6","d8","d7")
& el("d6","d8","d6")
& ~ el("d6","d8","d5")
& ~ el("d6","d8","d4")
& ~ el("d6","d8","d3")
& ~ el("d6","d8","d2")
& ~ el("d6","d8","d1")
& ~ el("d6","d8","d0")
& ~ el("d6","d7","d8")
& ~ el("d6","d7","d7")
& ~ el("d6","d7","d6")
& ~ el("d6","d7","d5")
& ~ el("d6","d7","d4")
& ~ el("d6","d7","d3")
& ~ el("d6","d7","d2")
& ~ el("d6","d7","d1")
& el("d6","d7","d0")
& ~ el("d6","d6","d8")
& ~ el("d6","d6","d7")
& ~ el("d6","d6","d6")
& ~ el("d6","d6","d5")
& ~ el("d6","d6","d4")
& el("d6","d6","d3")
& ~ el("d6","d6","d2")
& ~ el("d6","d6","d1")
& ~ el("d6","d6","d0")
& ~ el("d6","d5","d8")
& el("d6","d5","d7")
& ~ el("d6","d5","d6")
& ~ el("d6","d5","d5")
& ~ el("d6","d5","d4")
& ~ el("d6","d5","d3")
& ~ el("d6","d5","d2")
& ~ el("d6","d5","d1")
& ~ el("d6","d5","d0")
& el("d6","d4","d8")
& ~ el("d6","d4","d7")
& ~ el("d6","d4","d6")
& ~ el("d6","d4","d5")
& ~ el("d6","d4","d4")
& ~ el("d6","d4","d3")
& ~ el("d6","d4","d2")
& ~ el("d6","d4","d1")
& ~ el("d6","d4","d0")
& ~ el("d6","d3","d8")
& ~ el("d6","d3","d7")
& ~ el("d6","d3","d6")
& ~ el("d6","d3","d5")
& ~ el("d6","d3","d4")
& ~ el("d6","d3","d3")
& ~ el("d6","d3","d2")
& el("d6","d3","d1")
& ~ el("d6","d3","d0")
& ~ el("d6","d2","d8")
& ~ el("d6","d2","d7")
& ~ el("d6","d2","d6")
& ~ el("d6","d2","d5")
& el("d6","d2","d4")
& ~ el("d6","d2","d3")
& ~ el("d6","d2","d2")
& ~ el("d6","d2","d1")
& ~ el("d6","d2","d0")
& ~ el("d6","d1","d8")
& ~ el("d6","d1","d7")
& ~ el("d6","d1","d6")
& el("d6","d1","d5")
& ~ el("d6","d1","d4")
& ~ el("d6","d1","d3")
& ~ el("d6","d1","d2")
& ~ el("d6","d1","d1")
& ~ el("d6","d1","d0")
& ~ el("d6","d0","d8")
& ~ el("d6","d0","d7")
& ~ el("d6","d0","d6")
& ~ el("d6","d0","d5")
& ~ el("d6","d0","d4")
& ~ el("d6","d0","d3")
& el("d6","d0","d2")
& ~ el("d6","d0","d1")
& ~ el("d6","d0","d0")
& el("d5","d8","d8")
& ~ el("d5","d8","d7")
& ~ el("d5","d8","d6")
& ~ el("d5","d8","d5")
& ~ el("d5","d8","d4")
& ~ el("d5","d8","d3")
& ~ el("d5","d8","d2")
& ~ el("d5","d8","d1")
& ~ el("d5","d8","d0")
& ~ el("d5","d7","d8")
& ~ el("d5","d7","d7")
& ~ el("d5","d7","d6")
& el("d5","d7","d5")
& ~ el("d5","d7","d4")
& ~ el("d5","d7","d3")
& ~ el("d5","d7","d2")
& ~ el("d5","d7","d1")
& ~ el("d5","d7","d0")
& ~ el("d5","d6","d8")
& ~ el("d5","d6","d7")
& ~ el("d5","d6","d6")
& ~ el("d5","d6","d5")
& el("d5","d6","d4")
& ~ el("d5","d6","d3")
& ~ el("d5","d6","d2")
& ~ el("d5","d6","d1")
& ~ el("d5","d6","d0")
& ~ el("d5","d5","d8")
& ~ el("d5","d5","d7")
& el("d5","d5","d6")
& ~ el("d5","d5","d5")
& ~ el("d5","d5","d4")
& ~ el("d5","d5","d3")
& ~ el("d5","d5","d2")
& ~ el("d5","d5","d1")
& ~ el("d5","d5","d0")
& ~ el("d5","d4","d8")
& ~ el("d5","d4","d7")
& ~ el("d5","d4","d6")
& ~ el("d5","d4","d5")
& ~ el("d5","d4","d4")
& ~ el("d5","d4","d3")
& ~ el("d5","d4","d2")
& ~ el("d5","d4","d1")
& el("d5","d4","d0")
& ~ el("d5","d3","d8")
& ~ el("d5","d3","d7")
& ~ el("d5","d3","d6")
& ~ el("d5","d3","d5")
& ~ el("d5","d3","d4")
& el("d5","d3","d3")
& ~ el("d5","d3","d2")
& ~ el("d5","d3","d1")
& ~ el("d5","d3","d0")
& ~ el("d5","d2","d8")
& ~ el("d5","d2","d7")
& ~ el("d5","d2","d6")
& ~ el("d5","d2","d5")
& ~ el("d5","d2","d4")
& ~ el("d5","d2","d3")
& el("d5","d2","d2")
& ~ el("d5","d2","d1")
& ~ el("d5","d2","d0")
& ~ el("d5","d1","d8")
& el("d5","d1","d7")
& ~ el("d5","d1","d6")
& ~ el("d5","d1","d5")
& ~ el("d5","d1","d4")
& ~ el("d5","d1","d3")
& ~ el("d5","d1","d2")
& ~ el("d5","d1","d1")
& ~ el("d5","d1","d0")
& ~ el("d5","d0","d8")
& ~ el("d5","d0","d7")
& ~ el("d5","d0","d6")
& ~ el("d5","d0","d5")
& ~ el("d5","d0","d4")
& ~ el("d5","d0","d3")
& ~ el("d5","d0","d2")
& el("d5","d0","d1")
& ~ el("d5","d0","d0")
& ~ el("d4","d8","d8")
& ~ el("d4","d8","d7")
& ~ el("d4","d8","d6")
& ~ el("d4","d8","d5")
& ~ el("d4","d8","d4")
& el("d4","d8","d3")
& ~ el("d4","d8","d2")
& ~ el("d4","d8","d1")
& ~ el("d4","d8","d0")
& ~ el("d4","d7","d8")
& ~ el("d4","d7","d7")
& ~ el("d4","d7","d6")
& ~ el("d4","d7","d5")
& el("d4","d7","d4")
& ~ el("d4","d7","d3")
& ~ el("d4","d7","d2")
& ~ el("d4","d7","d1")
& ~ el("d4","d7","d0")
& ~ el("d4","d6","d8")
& ~ el("d4","d6","d7")
& ~ el("d4","d6","d6")
& ~ el("d4","d6","d5")
& ~ el("d4","d6","d4")
& ~ el("d4","d6","d3")
& el("d4","d6","d2")
& ~ el("d4","d6","d1")
& ~ el("d4","d6","d0")
& ~ el("d4","d5","d8")
& ~ el("d4","d5","d7")
& ~ el("d4","d5","d6")
& ~ el("d4","d5","d5")
& ~ el("d4","d5","d4")
& ~ el("d4","d5","d3")
& ~ el("d4","d5","d2")
& el("d4","d5","d1")
& ~ el("d4","d5","d0")
& ~ el("d4","d4","d8")
& ~ el("d4","d4","d7")
& ~ el("d4","d4","d6")
& el("d4","d4","d5")
& ~ el("d4","d4","d4")
& ~ el("d4","d4","d3")
& ~ el("d4","d4","d2")
& ~ el("d4","d4","d1")
& ~ el("d4","d4","d0")
& ~ el("d4","d3","d8")
& ~ el("d4","d3","d7")
& el("d4","d3","d6")
& ~ el("d4","d3","d5")
& ~ el("d4","d3","d4")
& ~ el("d4","d3","d3")
& ~ el("d4","d3","d2")
& ~ el("d4","d3","d1")
& ~ el("d4","d3","d0")
& el("d4","d2","d8")
& ~ el("d4","d2","d7")
& ~ el("d4","d2","d6")
& ~ el("d4","d2","d5")
& ~ el("d4","d2","d4")
& ~ el("d4","d2","d3")
& ~ el("d4","d2","d2")
& ~ el("d4","d2","d1")
& ~ el("d4","d2","d0")
& ~ el("d4","d1","d8")
& ~ el("d4","d1","d7")
& ~ el("d4","d1","d6")
& ~ el("d4","d1","d5")
& ~ el("d4","d1","d4")
& ~ el("d4","d1","d3")
& ~ el("d4","d1","d2")
& ~ el("d4","d1","d1")
& el("d4","d1","d0")
& ~ el("d4","d0","d8")
& el("d4","d0","d7")
& ~ el("d4","d0","d6")
& ~ el("d4","d0","d5")
& ~ el("d4","d0","d4")
& ~ el("d4","d0","d3")
& ~ el("d4","d0","d2")
& ~ el("d4","d0","d1")
& ~ el("d4","d0","d0")
& ~ el("d3","d8","d8")
& ~ el("d3","d8","d7")
& ~ el("d3","d8","d6")
& ~ el("d3","d8","d5")
& ~ el("d3","d8","d4")
& ~ el("d3","d8","d3")
& ~ el("d3","d8","d2")
& el("d3","d8","d1")
& ~ el("d3","d8","d0")
& ~ el("d3","d7","d8")
& ~ el("d3","d7","d7")
& el("d3","d7","d6")
& ~ el("d3","d7","d5")
& ~ el("d3","d7","d4")
& ~ el("d3","d7","d3")
& ~ el("d3","d7","d2")
& ~ el("d3","d7","d1")
& ~ el("d3","d7","d0")
& ~ el("d3","d6","d8")
& el("d3","d6","d7")
& ~ el("d3","d6","d6")
& ~ el("d3","d6","d5")
& ~ el("d3","d6","d4")
& ~ el("d3","d6","d3")
& ~ el("d3","d6","d2")
& ~ el("d3","d6","d1")
& ~ el("d3","d6","d0")
& el("d3","d5","d8")
& ~ el("d3","d5","d7")
& ~ el("d3","d5","d6")
& ~ el("d3","d5","d5")
& ~ el("d3","d5","d4")
& ~ el("d3","d5","d3")
& ~ el("d3","d5","d2")
& ~ el("d3","d5","d1")
& ~ el("d3","d5","d0")
& ~ el("d3","d4","d8")
& ~ el("d3","d4","d7")
& ~ el("d3","d4","d6")
& ~ el("d3","d4","d5")
& ~ el("d3","d4","d4")
& ~ el("d3","d4","d3")
& el("d3","d4","d2")
& ~ el("d3","d4","d1")
& ~ el("d3","d4","d0")
& ~ el("d3","d3","d8")
& ~ el("d3","d3","d7")
& ~ el("d3","d3","d6")
& ~ el("d3","d3","d5")
& ~ el("d3","d3","d4")
& ~ el("d3","d3","d3")
& ~ el("d3","d3","d2")
& ~ el("d3","d3","d1")
& el("d3","d3","d0")
& ~ el("d3","d2","d8")
& ~ el("d3","d2","d7")
& ~ el("d3","d2","d6")
& el("d3","d2","d5")
& ~ el("d3","d2","d4")
& ~ el("d3","d2","d3")
& ~ el("d3","d2","d2")
& ~ el("d3","d2","d1")
& ~ el("d3","d2","d0")
& ~ el("d3","d1","d8")
& ~ el("d3","d1","d7")
& ~ el("d3","d1","d6")
& ~ el("d3","d1","d5")
& el("d3","d1","d4")
& ~ el("d3","d1","d3")
& ~ el("d3","d1","d2")
& ~ el("d3","d1","d1")
& ~ el("d3","d1","d0")
& ~ el("d3","d0","d8")
& ~ el("d3","d0","d7")
& ~ el("d3","d0","d6")
& ~ el("d3","d0","d5")
& ~ el("d3","d0","d4")
& el("d3","d0","d3")
& ~ el("d3","d0","d2")
& ~ el("d3","d0","d1")
& ~ el("d3","d0","d0")
& ~ el("d2","d8","d8")
& ~ el("d2","d8","d7")
& ~ el("d2","d8","d6")
& ~ el("d2","d8","d5")
& el("d2","d8","d4")
& ~ el("d2","d8","d3")
& ~ el("d2","d8","d2")
& ~ el("d2","d8","d1")
& ~ el("d2","d8","d0")
& el("d2","d7","d8")
& ~ el("d2","d7","d7")
& ~ el("d2","d7","d6")
& ~ el("d2","d7","d5")
& ~ el("d2","d7","d4")
& ~ el("d2","d7","d3")
& ~ el("d2","d7","d2")
& ~ el("d2","d7","d1")
& ~ el("d2","d7","d0")
& ~ el("d2","d6","d8")
& ~ el("d2","d6","d7")
& ~ el("d2","d6","d6")
& ~ el("d2","d6","d5")
& ~ el("d2","d6","d4")
& ~ el("d2","d6","d3")
& ~ el("d2","d6","d2")
& el("d2","d6","d1")
& ~ el("d2","d6","d0")
& ~ el("d2","d5","d8")
& ~ el("d2","d5","d7")
& ~ el("d2","d5","d6")
& ~ el("d2","d5","d5")
& ~ el("d2","d5","d4")
& ~ el("d2","d5","d3")
& ~ el("d2","d5","d2")
& ~ el("d2","d5","d1")
& el("d2","d5","d0")
& ~ el("d2","d4","d8")
& ~ el("d2","d4","d7")
& ~ el("d2","d4","d6")
& ~ el("d2","d4","d5")
& ~ el("d2","d4","d4")
& el("d2","d4","d3")
& ~ el("d2","d4","d2")
& ~ el("d2","d4","d1")
& ~ el("d2","d4","d0")
& ~ el("d2","d3","d8")
& el("d2","d3","d7")
& ~ el("d2","d3","d6")
& ~ el("d2","d3","d5")
& ~ el("d2","d3","d4")
& ~ el("d2","d3","d3")
& ~ el("d2","d3","d2")
& ~ el("d2","d3","d1")
& ~ el("d2","d3","d0")
& ~ el("d2","d2","d8")
& ~ el("d2","d2","d7")
& el("d2","d2","d6")
& ~ el("d2","d2","d5")
& ~ el("d2","d2","d4")
& ~ el("d2","d2","d3")
& ~ el("d2","d2","d2")
& ~ el("d2","d2","d1")
& ~ el("d2","d2","d0")
& ~ el("d2","d1","d8")
& ~ el("d2","d1","d7")
& ~ el("d2","d1","d6")
& ~ el("d2","d1","d5")
& ~ el("d2","d1","d4")
& ~ el("d2","d1","d3")
& el("d2","d1","d2")
& ~ el("d2","d1","d1")
& ~ el("d2","d1","d0")
& ~ el("d2","d0","d8")
& ~ el("d2","d0","d7")
& ~ el("d2","d0","d6")
& el("d2","d0","d5")
& ~ el("d2","d0","d4")
& ~ el("d2","d0","d3")
& ~ el("d2","d0","d2")
& ~ el("d2","d0","d1")
& ~ el("d2","d0","d0")
& ~ el("d1","d8","d8")
& el("d1","d8","d7")
& ~ el("d1","d8","d6")
& ~ el("d1","d8","d5")
& ~ el("d1","d8","d4")
& ~ el("d1","d8","d3")
& ~ el("d1","d8","d2")
& ~ el("d1","d8","d1")
& ~ el("d1","d8","d0")
& ~ el("d1","d7","d8")
& ~ el("d1","d7","d7")
& ~ el("d1","d7","d6")
& ~ el("d1","d7","d5")
& ~ el("d1","d7","d4")
& ~ el("d1","d7","d3")
& el("d1","d7","d2")
& ~ el("d1","d7","d1")
& ~ el("d1","d7","d0")
& ~ el("d1","d6","d8")
& ~ el("d1","d6","d7")
& el("d1","d6","d6")
& ~ el("d1","d6","d5")
& ~ el("d1","d6","d4")
& ~ el("d1","d6","d3")
& ~ el("d1","d6","d2")
& ~ el("d1","d6","d1")
& ~ el("d1","d6","d0")
& ~ el("d1","d5","d8")
& ~ el("d1","d5","d7")
& ~ el("d1","d5","d6")
& el("d1","d5","d5")
& ~ el("d1","d5","d4")
& ~ el("d1","d5","d3")
& ~ el("d1","d5","d2")
& ~ el("d1","d5","d1")
& ~ el("d1","d5","d0")
& ~ el("d1","d4","d8")
& ~ el("d1","d4","d7")
& ~ el("d1","d4","d6")
& ~ el("d1","d4","d5")
& el("d1","d4","d4")
& ~ el("d1","d4","d3")
& ~ el("d1","d4","d2")
& ~ el("d1","d4","d1")
& ~ el("d1","d4","d0")
& el("d1","d3","d8")
& ~ el("d1","d3","d7")
& ~ el("d1","d3","d6")
& ~ el("d1","d3","d5")
& ~ el("d1","d3","d4")
& ~ el("d1","d3","d3")
& ~ el("d1","d3","d2")
& ~ el("d1","d3","d1")
& ~ el("d1","d3","d0")
& ~ el("d1","d2","d8")
& ~ el("d1","d2","d7")
& ~ el("d1","d2","d6")
& ~ el("d1","d2","d5")
& ~ el("d1","d2","d4")
& ~ el("d1","d2","d3")
& ~ el("d1","d2","d2")
& el("d1","d2","d1")
& ~ el("d1","d2","d0")
& ~ el("d1","d1","d8")
& ~ el("d1","d1","d7")
& ~ el("d1","d1","d6")
& ~ el("d1","d1","d5")
& ~ el("d1","d1","d4")
& el("d1","d1","d3")
& ~ el("d1","d1","d2")
& ~ el("d1","d1","d1")
& ~ el("d1","d1","d0")
& ~ el("d1","d0","d8")
& ~ el("d1","d0","d7")
& ~ el("d1","d0","d6")
& ~ el("d1","d0","d5")
& ~ el("d1","d0","d4")
& ~ el("d1","d0","d3")
& ~ el("d1","d0","d2")
& ~ el("d1","d0","d1")
& el("d1","d0","d0")
& ~ el("d0","d8","d8")
& ~ el("d0","d8","d7")
& ~ el("d0","d8","d6")
& el("d0","d8","d5")
& ~ el("d0","d8","d4")
& ~ el("d0","d8","d3")
& ~ el("d0","d8","d2")
& ~ el("d0","d8","d1")
& ~ el("d0","d8","d0")
& ~ el("d0","d7","d8")
& ~ el("d0","d7","d7")
& ~ el("d0","d7","d6")
& ~ el("d0","d7","d5")
& ~ el("d0","d7","d4")
& el("d0","d7","d3")
& ~ el("d0","d7","d2")
& ~ el("d0","d7","d1")
& ~ el("d0","d7","d0")
& el("d0","d6","d8")
& ~ el("d0","d6","d7")
& ~ el("d0","d6","d6")
& ~ el("d0","d6","d5")
& ~ el("d0","d6","d4")
& ~ el("d0","d6","d3")
& ~ el("d0","d6","d2")
& ~ el("d0","d6","d1")
& ~ el("d0","d6","d0")
& ~ el("d0","d5","d8")
& ~ el("d0","d5","d7")
& ~ el("d0","d5","d6")
& ~ el("d0","d5","d5")
& ~ el("d0","d5","d4")
& ~ el("d0","d5","d3")
& el("d0","d5","d2")
& ~ el("d0","d5","d1")
& ~ el("d0","d5","d0")
& ~ el("d0","d4","d8")
& el("d0","d4","d7")
& ~ el("d0","d4","d6")
& ~ el("d0","d4","d5")
& ~ el("d0","d4","d4")
& ~ el("d0","d4","d3")
& ~ el("d0","d4","d2")
& ~ el("d0","d4","d1")
& ~ el("d0","d4","d0")
& ~ el("d0","d3","d8")
& ~ el("d0","d3","d7")
& ~ el("d0","d3","d6")
& ~ el("d0","d3","d5")
& el("d0","d3","d4")
& ~ el("d0","d3","d3")
& ~ el("d0","d3","d2")
& ~ el("d0","d3","d1")
& ~ el("d0","d3","d0")
& ~ el("d0","d2","d8")
& ~ el("d0","d2","d7")
& ~ el("d0","d2","d6")
& ~ el("d0","d2","d5")
& ~ el("d0","d2","d4")
& ~ el("d0","d2","d3")
& ~ el("d0","d2","d2")
& ~ el("d0","d2","d1")
& el("d0","d2","d0")
& ~ el("d0","d1","d8")
& ~ el("d0","d1","d7")
& ~ el("d0","d1","d6")
& ~ el("d0","d1","d5")
& ~ el("d0","d1","d4")
& ~ el("d0","d1","d3")
& ~ el("d0","d1","d2")
& el("d0","d1","d1")
& ~ el("d0","d1","d0")
& ~ el("d0","d0","d8")
& ~ el("d0","d0","d7")
& el("d0","d0","d6")
& ~ el("d0","d0","d5")
& ~ el("d0","d0","d4")
& ~ el("d0","d0","d3")
& ~ el("d0","d0","d2")
& ~ el("d0","d0","d1")
& ~ el("d0","d0","d0")
& ~ subfield("d8","d8")
& ~ subfield("d8","d7")
& ~ subfield("d8","d6")
& ~ subfield("d8","d5")
& ~ subfield("d8","d4")
& ~ subfield("d8","d3")
& ~ subfield("d8","d2")
& ~ subfield("d8","d1")
& ~ subfield("d8","d0")
& ~ subfield("d7","d8")
& subfield("d7","d7")
& ~ subfield("d7","d6")
& ~ subfield("d7","d5")
& subfield("d7","d4")
& ~ subfield("d7","d3")
& ~ subfield("d7","d2")
& subfield("d7","d1")
& ~ subfield("d7","d0")
& ~ subfield("d6","d8")
& ~ subfield("d6","d7")
& ~ subfield("d6","d6")
& ~ subfield("d6","d5")
& ~ subfield("d6","d4")
& ~ subfield("d6","d3")
& ~ subfield("d6","d2")
& ~ subfield("d6","d1")
& ~ subfield("d6","d0")
& ~ subfield("d5","d8")
& ~ subfield("d5","d7")
& ~ subfield("d5","d6")
& ~ subfield("d5","d5")
& ~ subfield("d5","d4")
& ~ subfield("d5","d3")
& ~ subfield("d5","d2")
& ~ subfield("d5","d1")
& ~ subfield("d5","d0")
& ~ subfield("d4","d8")
& subfield("d4","d7")
& ~ subfield("d4","d6")
& ~ subfield("d4","d5")
& subfield("d4","d4")
& ~ subfield("d4","d3")
& ~ subfield("d4","d2")
& subfield("d4","d1")
& ~ subfield("d4","d0")
& ~ subfield("d3","d8")
& ~ subfield("d3","d7")
& ~ subfield("d3","d6")
& ~ subfield("d3","d5")
& ~ subfield("d3","d4")
& ~ subfield("d3","d3")
& ~ subfield("d3","d2")
& ~ subfield("d3","d1")
& ~ subfield("d3","d0")
& ~ subfield("d2","d8")
& ~ subfield("d2","d7")
& ~ subfield("d2","d6")
& ~ subfield("d2","d5")
& ~ subfield("d2","d4")
& ~ subfield("d2","d3")
& ~ subfield("d2","d2")
& ~ subfield("d2","d1")
& ~ subfield("d2","d0")
& ~ subfield("d1","d8")
& subfield("d1","d7")
& ~ subfield("d1","d6")
& ~ subfield("d1","d5")
& subfield("d1","d4")
& ~ subfield("d1","d3")
& ~ subfield("d1","d2")
& subfield("d1","d1")
& ~ subfield("d1","d0")
& ~ subfield("d0","d8")
& ~ subfield("d0","d7")
& ~ subfield("d0","d6")
& ~ subfield("d0","d5")
& ~ subfield("d0","d4")
& ~ subfield("d0","d3")
& ~ subfield("d0","d2")
& ~ subfield("d0","d1")
& ~ subfield("d0","d0")
& dom("d8")
& dom("d7")
& dom("d6")
& dom("d5")
& dom("d4")
& dom("d3")
& dom("d2")
& dom("d1")
& dom("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ072-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 05:09:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 4084355 was started by sandbox on n017,
% 0.10/0.36 % Sat Sep 26 05:09:04 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 8.97/1.57
% 8.97/1.57 % SZS status Satisfiable for theBenchmark
% 8.97/1.57 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------