%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : LAT062-1 : 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 : 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 07:48:43 AM UTC 2026
% Result : Satisfiable 0.33s 0.58s
% Output : FiniteModel 0.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( 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("d11","d11") = "d11"
& meet("d11","d10") = "d2"
& meet("d11","d9") = "d11"
& meet("d11","d8") = "d2"
& meet("d11","d7") = "d2"
& meet("d11","d6") = "d6"
& meet("d11","d5") = "d2"
& meet("d11","d4") = "d11"
& meet("d11","d3") = "d2"
& meet("d11","d2") = "d2"
& meet("d11","d1") = "d11"
& meet("d11","d0") = "d6"
& meet("d10","d11") = "d2"
& meet("d10","d10") = "d10"
& meet("d10","d9") = "d5"
& meet("d10","d8") = "d8"
& meet("d10","d7") = "d10"
& meet("d10","d6") = "d2"
& meet("d10","d5") = "d5"
& meet("d10","d4") = "d10"
& meet("d10","d3") = "d8"
& meet("d10","d2") = "d2"
& meet("d10","d1") = "d8"
& meet("d10","d0") = "d2"
& meet("d9","d11") = "d11"
& meet("d9","d10") = "d5"
& meet("d9","d9") = "d9"
& meet("d9","d8") = "d2"
& meet("d9","d7") = "d5"
& meet("d9","d6") = "d6"
& meet("d9","d5") = "d5"
& meet("d9","d4") = "d9"
& meet("d9","d3") = "d2"
& meet("d9","d2") = "d2"
& meet("d9","d1") = "d11"
& meet("d9","d0") = "d0"
& meet("d8","d11") = "d2"
& meet("d8","d10") = "d8"
& meet("d8","d9") = "d2"
& meet("d8","d8") = "d8"
& meet("d8","d7") = "d8"
& meet("d8","d6") = "d2"
& meet("d8","d5") = "d2"
& meet("d8","d4") = "d8"
& meet("d8","d3") = "d8"
& meet("d8","d2") = "d2"
& meet("d8","d1") = "d8"
& meet("d8","d0") = "d2"
& meet("d7","d11") = "d2"
& meet("d7","d10") = "d10"
& meet("d7","d9") = "d5"
& meet("d7","d8") = "d8"
& meet("d7","d7") = "d7"
& meet("d7","d6") = "d2"
& meet("d7","d5") = "d5"
& meet("d7","d4") = "d7"
& meet("d7","d3") = "d3"
& meet("d7","d2") = "d2"
& meet("d7","d1") = "d8"
& meet("d7","d0") = "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") = "d2"
& meet("d6","d4") = "d6"
& meet("d6","d3") = "d2"
& meet("d6","d2") = "d2"
& meet("d6","d1") = "d6"
& meet("d6","d0") = "d6"
& meet("d5","d11") = "d2"
& meet("d5","d10") = "d5"
& meet("d5","d9") = "d5"
& meet("d5","d8") = "d2"
& meet("d5","d7") = "d5"
& meet("d5","d6") = "d2"
& meet("d5","d5") = "d5"
& meet("d5","d4") = "d5"
& meet("d5","d3") = "d2"
& meet("d5","d2") = "d2"
& meet("d5","d1") = "d2"
& meet("d5","d0") = "d2"
& meet("d4","d11") = "d11"
& meet("d4","d10") = "d10"
& meet("d4","d9") = "d9"
& meet("d4","d8") = "d8"
& meet("d4","d7") = "d7"
& meet("d4","d6") = "d6"
& meet("d4","d5") = "d5"
& meet("d4","d4") = "d4"
& meet("d4","d3") = "d3"
& meet("d4","d2") = "d2"
& meet("d4","d1") = "d1"
& meet("d4","d0") = "d0"
& meet("d3","d11") = "d2"
& meet("d3","d10") = "d8"
& meet("d3","d9") = "d2"
& meet("d3","d8") = "d8"
& meet("d3","d7") = "d3"
& meet("d3","d6") = "d2"
& meet("d3","d5") = "d2"
& meet("d3","d4") = "d3"
& meet("d3","d3") = "d3"
& meet("d3","d2") = "d2"
& meet("d3","d1") = "d8"
& meet("d3","d0") = "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","d11") = "d11"
& meet("d1","d10") = "d8"
& meet("d1","d9") = "d11"
& meet("d1","d8") = "d8"
& meet("d1","d7") = "d8"
& meet("d1","d6") = "d6"
& meet("d1","d5") = "d2"
& meet("d1","d4") = "d1"
& meet("d1","d3") = "d8"
& meet("d1","d2") = "d2"
& meet("d1","d1") = "d1"
& meet("d1","d0") = "d6"
& meet("d0","d11") = "d6"
& meet("d0","d10") = "d2"
& meet("d0","d9") = "d0"
& meet("d0","d8") = "d2"
& meet("d0","d7") = "d2"
& meet("d0","d6") = "d6"
& meet("d0","d5") = "d2"
& meet("d0","d4") = "d0"
& meet("d0","d3") = "d2"
& meet("d0","d2") = "d2"
& meet("d0","d1") = "d6"
& meet("d0","d0") = "d0"
& join("d11","d11") = "d11"
& join("d11","d10") = "d4"
& join("d11","d9") = "d9"
& join("d11","d8") = "d1"
& join("d11","d7") = "d4"
& join("d11","d6") = "d11"
& join("d11","d5") = "d9"
& join("d11","d4") = "d4"
& join("d11","d3") = "d4"
& join("d11","d2") = "d11"
& join("d11","d1") = "d1"
& join("d11","d0") = "d9"
& join("d10","d11") = "d4"
& join("d10","d10") = "d10"
& join("d10","d9") = "d4"
& join("d10","d8") = "d10"
& join("d10","d7") = "d7"
& join("d10","d6") = "d4"
& join("d10","d5") = "d10"
& join("d10","d4") = "d4"
& join("d10","d3") = "d7"
& join("d10","d2") = "d10"
& join("d10","d1") = "d4"
& join("d10","d0") = "d4"
& join("d9","d11") = "d9"
& join("d9","d10") = "d4"
& join("d9","d9") = "d9"
& join("d9","d8") = "d4"
& join("d9","d7") = "d4"
& join("d9","d6") = "d9"
& join("d9","d5") = "d9"
& join("d9","d4") = "d4"
& join("d9","d3") = "d4"
& join("d9","d2") = "d9"
& join("d9","d1") = "d4"
& join("d9","d0") = "d9"
& join("d8","d11") = "d1"
& join("d8","d10") = "d10"
& join("d8","d9") = "d4"
& join("d8","d8") = "d8"
& join("d8","d7") = "d7"
& join("d8","d6") = "d1"
& join("d8","d5") = "d10"
& join("d8","d4") = "d4"
& join("d8","d3") = "d3"
& join("d8","d2") = "d8"
& join("d8","d1") = "d1"
& join("d8","d0") = "d4"
& join("d7","d11") = "d4"
& join("d7","d10") = "d7"
& join("d7","d9") = "d4"
& join("d7","d8") = "d7"
& join("d7","d7") = "d7"
& join("d7","d6") = "d4"
& join("d7","d5") = "d7"
& join("d7","d4") = "d4"
& join("d7","d3") = "d7"
& join("d7","d2") = "d7"
& join("d7","d1") = "d4"
& join("d7","d0") = "d4"
& join("d6","d11") = "d11"
& join("d6","d10") = "d4"
& join("d6","d9") = "d9"
& join("d6","d8") = "d1"
& join("d6","d7") = "d4"
& join("d6","d6") = "d6"
& join("d6","d5") = "d9"
& join("d6","d4") = "d4"
& join("d6","d3") = "d4"
& join("d6","d2") = "d6"
& join("d6","d1") = "d1"
& join("d6","d0") = "d0"
& join("d5","d11") = "d9"
& join("d5","d10") = "d10"
& join("d5","d9") = "d9"
& join("d5","d8") = "d10"
& join("d5","d7") = "d7"
& join("d5","d6") = "d9"
& join("d5","d5") = "d5"
& join("d5","d4") = "d4"
& join("d5","d3") = "d7"
& join("d5","d2") = "d5"
& join("d5","d1") = "d4"
& join("d5","d0") = "d9"
& join("d4","d11") = "d4"
& join("d4","d10") = "d4"
& join("d4","d9") = "d4"
& join("d4","d8") = "d4"
& join("d4","d7") = "d4"
& join("d4","d6") = "d4"
& join("d4","d5") = "d4"
& join("d4","d4") = "d4"
& join("d4","d3") = "d4"
& join("d4","d2") = "d4"
& join("d4","d1") = "d4"
& join("d4","d0") = "d4"
& join("d3","d11") = "d4"
& join("d3","d10") = "d7"
& join("d3","d9") = "d4"
& join("d3","d8") = "d3"
& join("d3","d7") = "d7"
& join("d3","d6") = "d4"
& join("d3","d5") = "d7"
& join("d3","d4") = "d4"
& join("d3","d3") = "d3"
& join("d3","d2") = "d3"
& join("d3","d1") = "d4"
& join("d3","d0") = "d4"
& 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","d11") = "d1"
& join("d1","d10") = "d4"
& join("d1","d9") = "d4"
& join("d1","d8") = "d1"
& join("d1","d7") = "d4"
& join("d1","d6") = "d1"
& join("d1","d5") = "d4"
& join("d1","d4") = "d4"
& join("d1","d3") = "d4"
& join("d1","d2") = "d1"
& join("d1","d1") = "d1"
& join("d1","d0") = "d4"
& join("d0","d11") = "d9"
& join("d0","d10") = "d4"
& join("d0","d9") = "d9"
& join("d0","d8") = "d4"
& join("d0","d7") = "d4"
& join("d0","d6") = "d0"
& join("d0","d5") = "d9"
& join("d0","d4") = "d4"
& join("d0","d3") = "d4"
& join("d0","d2") = "d0"
& join("d0","d1") = "d4"
& join("d0","d0") = "d0"
& complement("d11") = "d10"
& complement("d10") = "d11"
& complement("d9") = "d8"
& complement("d8") = "d9"
& complement("d7") = "d6"
& complement("d6") = "d7"
& complement("d5") = "d1"
& complement("d4") = "d2"
& complement("d3") = "d0"
& complement("d2") = "d4"
& complement("d1") = "d5"
& complement("d0") = "d3"
& n1 = "d4"
& n0 = "d2"
& b = "d1"
& a = "d0" ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT062-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n002.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 20:03:04 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 4027014 was started by sandbox on n002,
% 0.18/0.45 % Fri Sep 25 20:03:04 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.33/0.58
% 0.33/0.58 % SZS status Satisfiable for theBenchmark
% 0.33/0.58 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------