%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT031-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 : Thu Sep 24 01:25:44 PM UTC 2026
% Result : Satisfiable 0.09s 0.39s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] :
( greater(number_of_organizations(e,appear(an_organisation,A)),zero)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( subpopulation(sk1(B,A),A,B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( greater(cardinality_at_time(sk1(B,A),B),zero)
| ~ greater(number_of_organizations(A,B),zero)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater(appear(efficient_producers,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ greater(appear(first_movers,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( greater_or_equal(appear(first_movers,A),appear(an_organisation,A))
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [A,B,C] :
( B = first_movers
| B = efficient_producers
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
! [A] :
( greater(appear(efficient_producers,e),appear(first_movers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
environment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
in_environment(sk2,appear(an_organisation,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
appear(an_organisation,sk2) != appear(first_movers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] :
( greater(number_of_organizations(e,appear(an_organisation,X0)),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [X0,X1] :
( subpopulation(sk1(X1,X0),X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( greater(cardinality_at_time(sk1(X1,X0),X1),zero)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [B] :
( ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ! [A] :
( ~ greater(appear(efficient_producers,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(appear(efficient_producers,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [B] :
( ~ greater(cardinality_at_time(first_movers,B),zero)
| ! [A] :
( ~ greater(appear(first_movers,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(appear(first_movers,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0] :
( greater_or_equal(appear(first_movers,X0),appear(an_organisation,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [A,C] :
( greater(A,C)
| ! [B] :
( ~ greater(B,C)
| ~ greater(A,B) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [B] :
( B = first_movers
| B = efficient_producers
| ! [C] :
( ~ greater(cardinality_at_time(B,C),zero)
| ! [A] :
( ~ subpopulation(B,A,C)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f30,plain,
! [X0,X1,X2] :
( X1 = first_movers
| X1 = efficient_producers
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0] :
( greater(appear(efficient_producers,e),appear(first_movers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
environment(sk2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f33,plain,
in_environment(sk2,appear(an_organisation,sk2)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f34,plain,
appear(an_organisation,sk2) != appear(first_movers,sk2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f35,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f28]) ).
fof(f36,plain,
greater_or_equal(appear(first_movers,sk2),appear(an_organisation,sk2)),
inference(resolution,[status(thm)],[f23,f32]) ).
fof(f37,plain,
greater(number_of_organizations(e,appear(an_organisation,sk2)),zero),
inference(resolution,[status(thm)],[f16,f32]) ).
fof(f38,plain,
greater_or_equal(number_of_organizations(e,appear(an_organisation,sk2)),zero),
inference(resolution,[status(thm)],[f27,f37]) ).
fof(f39,plain,
! [X0] :
( greater(number_of_organizations(e,appear(an_organisation,sk2)),X0)
| ~ greater(zero,X0) ),
inference(resolution,[status(thm)],[f25,f37]) ).
fof(f40,plain,
( subpopulation(sk1(appear(an_organisation,sk2),e),e,appear(an_organisation,sk2))
| ~ environment(e) ),
inference(resolution,[status(thm)],[f17,f37]) ).
fof(f41,definition,
( sQ0_spl
<=> environment(e) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f43,plain,
( sQ0_spl
| ~ environment(e) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,definition,
( sQ1_spl
<=> subpopulation(sk1(appear(an_organisation,sk2),e),e,appear(an_organisation,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f40,f41,f44]) ).
fof(f48,plain,
( greater(cardinality_at_time(sk1(appear(an_organisation,sk2),e),appear(an_organisation,sk2)),zero)
| ~ environment(e) ),
inference(resolution,[status(thm)],[f18,f37]) ).
fof(f49,definition,
( sQ2_spl
<=> greater(cardinality_at_time(sk1(appear(an_organisation,sk2),e),appear(an_organisation,sk2)),zero) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f41,f49]) ).
fof(f53,plain,
greater(appear(efficient_producers,e),appear(first_movers,sk2)),
inference(resolution,[status(thm)],[f31,f32]) ).
fof(f54,plain,
( ~ greater(cardinality_at_time(efficient_producers,appear(first_movers,sk2)),zero)
| ~ in_environment(e,appear(first_movers,sk2))
| ~ environment(e) ),
inference(resolution,[status(thm)],[f53,f20]) ).
fof(f55,plain,
! [X0] :
( greater(appear(efficient_producers,e),X0)
| ~ greater(appear(first_movers,sk2),X0) ),
inference(resolution,[status(thm)],[f53,f25]) ).
fof(f56,plain,
greater_or_equal(appear(efficient_producers,e),appear(first_movers,sk2)),
inference(resolution,[status(thm)],[f53,f27]) ).
fof(f57,definition,
( sQ3_spl
<=> in_environment(e,appear(first_movers,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f60,definition,
( sQ4_spl
<=> greater(cardinality_at_time(efficient_producers,appear(first_movers,sk2)),zero) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f41,f57,f60]) ).
fof(f64,plain,
( number_of_organizations(e,appear(an_organisation,sk2)) = zero
| greater(number_of_organizations(e,appear(an_organisation,sk2)),zero) ),
inference(resolution,[status(thm)],[f26,f38]) ).
fof(f65,plain,
( appear(first_movers,sk2) = appear(an_organisation,sk2)
| greater(appear(first_movers,sk2),appear(an_organisation,sk2)) ),
inference(resolution,[status(thm)],[f26,f36]) ).
fof(f67,definition,
( sQ5_spl
<=> greater(number_of_organizations(e,appear(an_organisation,sk2)),zero) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f70,definition,
( sQ6_spl
<=> number_of_organizations(e,appear(an_organisation,sk2)) = zero ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f64,f67,f70]) ).
fof(f74,definition,
( sQ7_spl
<=> greater(appear(first_movers,sk2),appear(an_organisation,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ7_spl
| greater(appear(first_movers,sk2),appear(an_organisation,sk2)) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,definition,
( sQ8_spl
<=> appear(first_movers,sk2) = appear(an_organisation,sk2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ8_spl
| appear(first_movers,sk2) = appear(an_organisation,sk2) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f65,f74,f77]) ).
fof(f81,plain,
( appear(efficient_producers,e) = appear(first_movers,sk2)
| greater(appear(efficient_producers,e),appear(first_movers,sk2)) ),
inference(resolution,[status(thm)],[f56,f26]) ).
fof(f82,definition,
( sQ9_spl
<=> greater(appear(efficient_producers,e),appear(first_movers,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f85,definition,
( sQ10_spl
<=> appear(efficient_producers,e) = appear(first_movers,sk2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f81,f82,f85]) ).
fof(f89,plain,
( ~ sQ7_spl
| greater(appear(efficient_producers,e),appear(an_organisation,sk2)) ),
inference(resolution,[status(thm)],[f75,f55]) ).
fof(f90,plain,
( ~ sQ7_spl
| ~ greater(cardinality_at_time(first_movers,appear(an_organisation,sk2)),zero)
| ~ in_environment(sk2,appear(an_organisation,sk2))
| ~ environment(sk2) ),
inference(resolution,[status(thm)],[f75,f22]) ).
fof(f91,plain,
! [X0] :
( ~ sQ7_spl
| greater(appear(first_movers,sk2),X0)
| ~ greater(appear(an_organisation,sk2),X0) ),
inference(resolution,[status(thm)],[f75,f25]) ).
fof(f93,definition,
( sQ11_spl
<=> environment(sk2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f96,definition,
( sQ12_spl
<=> in_environment(sk2,appear(an_organisation,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f99,definition,
( sQ13_spl
<=> greater(cardinality_at_time(first_movers,appear(an_organisation,sk2)),zero) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( sQ13_spl
| ~ greater(cardinality_at_time(first_movers,appear(an_organisation,sk2)),zero) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f90,f93,f96,f99,f74]) ).
fof(f103,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f34]) ).
fof(f104,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f103]) ).
fof(f110,plain,
( ~ sQ7_spl
| ~ greater(cardinality_at_time(efficient_producers,appear(an_organisation,sk2)),zero)
| ~ in_environment(e,appear(an_organisation,sk2))
| ~ environment(e) ),
inference(resolution,[status(thm)],[f89,f20]) ).
fof(f111,plain,
! [X0] :
( ~ sQ7_spl
| greater(appear(efficient_producers,e),X0)
| ~ greater(appear(an_organisation,sk2),X0) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f112,plain,
( ~ sQ7_spl
| greater_or_equal(appear(efficient_producers,e),appear(an_organisation,sk2)) ),
inference(resolution,[status(thm)],[f89,f27]) ).
fof(f113,definition,
( sQ14_spl
<=> in_environment(e,appear(an_organisation,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ14_spl
| ~ in_environment(e,appear(an_organisation,sk2)) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ15_spl
<=> greater(cardinality_at_time(efficient_producers,appear(an_organisation,sk2)),zero) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ15_spl
| ~ greater(cardinality_at_time(efficient_producers,appear(an_organisation,sk2)),zero) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f110,f41,f113,f116,f74]) ).
fof(f120,plain,
( ~ sQ7_spl
| appear(efficient_producers,e) = appear(an_organisation,sk2)
| greater(appear(efficient_producers,e),appear(an_organisation,sk2)) ),
inference(resolution,[status(thm)],[f112,f26]) ).
fof(f121,definition,
( sQ16_spl
<=> greater(appear(efficient_producers,e),appear(an_organisation,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ16_spl
| greater(appear(efficient_producers,e),appear(an_organisation,sk2)) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ17_spl
<=> appear(efficient_producers,e) = appear(an_organisation,sk2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ17_spl
| appear(efficient_producers,e) = appear(an_organisation,sk2) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( ~ sQ7_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f120,f121,f124,f74]) ).
fof(f130,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| greater(appear(an_organisation,sk2),appear(an_organisation,sk2)) ),
inference(backward_demodulation,[status(thm)],[f125,f89]) ).
fof(f131,plain,
! [X0] :
( ~ sQ17_spl
| greater(appear(an_organisation,sk2),X0)
| ~ greater(appear(first_movers,sk2),X0) ),
inference(backward_demodulation,[status(thm)],[f125,f55]) ).
fof(f132,plain,
( ~ sQ17_spl
| greater_or_equal(appear(an_organisation,sk2),appear(first_movers,sk2)) ),
inference(backward_demodulation,[status(thm)],[f125,f56]) ).
fof(f133,plain,
( ~ sQ17_spl
| greater(appear(an_organisation,sk2),appear(first_movers,sk2)) ),
inference(backward_demodulation,[status(thm)],[f125,f53]) ).
fof(f134,plain,
! [X0] :
( ~ sQ17_spl
| greater(appear(an_organisation,sk2),appear(first_movers,X0))
| ~ environment(X0) ),
inference(backward_demodulation,[status(thm)],[f125,f31]) ).
fof(f135,plain,
! [X0] :
( ~ sQ17_spl
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(appear(an_organisation,sk2),X0)
| ~ in_environment(e,X0)
| ~ environment(e) ),
inference(paramodulation,[status(thm)],[f125,f20]) ).
fof(f136,definition,
! [X0] :
( sQ18_spl
<=> ( ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(appear(an_organisation,sk2),X0)
| ~ in_environment(e,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f137,plain,
! [X0] :
( ~ sQ18_spl
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(appear(an_organisation,sk2),X0)
| ~ in_environment(e,X0) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( ~ sQ17_spl
| sQ18_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f135,f41,f136,f124]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ5_spl
| sQ7_spl
| ~ sQ8_spl
| sQ9_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| sQ18_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT031-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:22:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.036080 seconds
% 0.09/0.41 % CPU time: 0.098636 seconds
% 0.09/0.41 % Total memory used: 18.156 MB
% 0.09/0.41 % Net memory used: 18.050 MB
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