%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : MGT038-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 08:01:39 AM UTC 2026
% Result : Satisfiable 0.20s 0.51s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( sk3("d1","d1") = "d0"
& sk3("d1","d0") = "d1"
& sk3("d0","d1") = "d0"
& sk3("d0","d0") = "d1"
& sk2("d1","d1") = "d0"
& sk2("d1","d0") = "d1"
& sk2("d0","d1") = "d0"
& sk2("d0","d0") = "d1"
& sk1("d1","d1") = "d0"
& sk1("d1","d0") = "d0"
& sk1("d0","d1") = "d0"
& sk1("d0","d0") = "d0"
& growth_rate("d1","d1") = "d0"
& growth_rate("d1","d0") = "d0"
& growth_rate("d0","d1") = "d1"
& growth_rate("d0","d0") = "d0"
& cardinality_at_time("d1","d1") = "d0"
& cardinality_at_time("d1","d0") = "d0"
& cardinality_at_time("d0","d1") = "d0"
& cardinality_at_time("d0","d0") = "d1"
& appear("d1","d1") = "d0"
& appear("d1","d0") = "d0"
& appear("d0","d1") = "d0"
& appear("d0","d0") = "d0"
& sk6("d1") = "d0"
& sk6("d0") = "d0"
& sk5("d1") = "d0"
& sk5("d0") = "d0"
& sk4("d1") = "d0"
& sk4("d0") = "d0"
& equilibrium("d1") = "d0"
& equilibrium("d0") = "d0"
& zero = "d0"
& to = "d0"
& t2 = "d0"
& sk7 = "d0"
& s = "d0"
& first_movers = "d0"
& efficient_producers = "d0"
& e = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ subpopulations("d1","d1","d1","d1")
& ~ subpopulations("d1","d1","d1","d0")
& ~ subpopulations("d1","d1","d0","d1")
& ~ subpopulations("d1","d1","d0","d0")
& ~ subpopulations("d1","d0","d1","d1")
& ~ subpopulations("d1","d0","d1","d0")
& ~ subpopulations("d1","d0","d0","d1")
& ~ subpopulations("d1","d0","d0","d0")
& ~ subpopulations("d0","d1","d1","d1")
& ~ subpopulations("d0","d1","d1","d0")
& ~ subpopulations("d0","d1","d0","d1")
& ~ subpopulations("d0","d1","d0","d0")
& ~ subpopulations("d0","d0","d1","d1")
& ~ subpopulations("d0","d0","d1","d0")
& subpopulations("d0","d0","d0","d1")
& subpopulations("d0","d0","d0","d0")
& ~ in_environment("d1","d1")
& ~ in_environment("d1","d0")
& in_environment("d0","d1")
& in_environment("d0","d0")
& greater_or_equal("d1","d1")
& greater_or_equal("d1","d0")
& ~ greater_or_equal("d0","d1")
& greater_or_equal("d0","d0")
& greater("d1","d1")
& greater("d1","d0")
& ~ greater("d0","d1")
& greater("d0","d0")
& ~ contracts_from("d1","d1")
& ~ contracts_from("d1","d0")
& ~ contracts_from("d0","d1")
& ~ contracts_from("d0","d0")
& ~ stable("d1")
& stable("d0")
& ~ finite_set("d1")
& finite_set("d0")
& ~ environment("d1")
& environment("d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT038-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n011.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sat Sep 26 00:06:59 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/0.47 % Process 3226678 was started by sandbox on n011,
% 0.20/0.47 % Sat Sep 26 00:06:59 2026
% 0.20/0.47 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.20/0.51
% 0.20/0.51 % SZS status Satisfiable for theBenchmark
% 0.20/0.51 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------