↑ Up

Drodi-SAT---4.1.1.SAT-Sat.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : MGT033-1 : 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 : n004.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 01:25:45 PM UTC 2026

% Result   : Satisfiable 0.14s 0.41s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C,D] :
      ( selection_favors(B,D,C)
      | cardinality_at_time(D,C) != zero
      | ~ greater(cardinality_at_time(B,C),zero)
      | ~ subpopulation(D,A,C)
      | ~ subpopulation(B,A,C)
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] :
      ( cardinality_at_time(C,B) = zero
      | ~ greater(appear(C,A),B)
      | ~ in_environment(A,B)
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,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(f4,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(f5,axiom,
    ! [A,B] :
      ( ~ greater(cardinality_at_time(A,B),zero)
      | cardinality_at_time(A,t) != zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,B] :
      ( in_environment(A,B)
      | ~ greater(number_of_organizations(A,B),zero)
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C,D] :
      ( in_environment(A,D)
      | ~ greater_or_equal(D,B)
      | ~ greater_or_equal(C,D)
      | ~ in_environment(A,C)
      | ~ in_environment(A,B)
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A] :
      ( in_environment(A,start_time(A))
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A] :
      ( greater_or_equal(appear(first_movers,A),start_time(A))
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A,B] :
      ( subpopulation(first_movers,A,B)
      | ~ in_environment(A,B)
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [A,B] :
      ( subpopulation(efficient_producers,A,B)
      | ~ in_environment(A,B)
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A] :
      ( in_environment(A,appear(an_organisation,A))
      | ~ in_environment(A,appear(first_movers,A))
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    ! [A,B] :
      ( greater(number_of_organizations(A,B),zero)
      | ~ greater_or_equal(B,appear(an_organisation,A))
      | ~ in_environment(A,B)
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,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(f15,hypothesis,
    ! [A] :
      ( appear(an_organisation,A) = appear(first_movers,A)
      | ~ in_environment(A,appear(an_organisation,A))
      | ~ environment(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    environment(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    in_environment(sk2,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    greater_or_equal(sk3,appear(first_movers,sk2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    greater(appear(efficient_producers,sk2),sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ selection_favors(first_movers,efficient_producers,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ! [B,C,D] :
      ( selection_favors(B,D,C)
      | cardinality_at_time(D,C) != zero
      | ~ greater(cardinality_at_time(B,C),zero)
      | ! [A] :
          ( ~ subpopulation(D,A,C)
          | ~ subpopulation(B,A,C)
          | ~ environment(A) ) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3] :
      ( selection_favors(X1,X3,X2)
      | cardinality_at_time(X3,X2) != zero
      | ~ greater(cardinality_at_time(X1,X2),zero)
      | ~ subpopulation(X3,X0,X2)
      | ~ subpopulation(X1,X0,X2)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f23,plain,
    ! [B,C] :
      ( cardinality_at_time(C,B) = zero
      | ! [A] :
          ( ~ greater(appear(C,A),B)
          | ~ in_environment(A,B)
          | ~ environment(A) ) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( cardinality_at_time(X2,X1) = zero
      | ~ greater(appear(X2,X0),X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( subpopulation(sk1(X1,X0),X0,X1)
      | ~ greater(number_of_organizations(X0,X1),zero)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f26,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)],[f4]) ).

fof(f27,plain,
    ! [A] :
      ( ! [B] : ~ greater(cardinality_at_time(A,B),zero)
      | cardinality_at_time(A,t) != zero ),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ greater(cardinality_at_time(X0,X1),zero)
      | cardinality_at_time(X0,t) != zero ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ greater(number_of_organizations(X0,X1),zero)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f30,plain,
    ! [A,D] :
      ( in_environment(A,D)
      | ! [B] :
          ( ~ greater_or_equal(D,B)
          | ! [C] :
              ( ~ greater_or_equal(C,D)
              | ~ in_environment(A,C)
              | ~ in_environment(A,B)
              | ~ environment(A) ) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] :
      ( in_environment(X0,X3)
      | ~ greater_or_equal(X3,X1)
      | ~ greater_or_equal(X2,X3)
      | ~ in_environment(X0,X2)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f32,plain,
    ! [X0] :
      ( in_environment(X0,start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f33,plain,
    ! [X0] :
      ( greater_or_equal(appear(first_movers,X0),start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( subpopulation(first_movers,X0,X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( subpopulation(efficient_producers,X0,X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f36,plain,
    ! [X0] :
      ( in_environment(X0,appear(an_organisation,X0))
      | ~ in_environment(X0,appear(first_movers,X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( greater(number_of_organizations(X0,X1),zero)
      | ~ greater_or_equal(X1,appear(an_organisation,X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f38,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)],[f14]) ).

fof(f39,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)],[f38]) ).

fof(f40,plain,
    ! [X0] :
      ( appear(an_organisation,X0) = appear(first_movers,X0)
      | ~ in_environment(X0,appear(an_organisation,X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f41,plain,
    environment(sk2),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f42,plain,
    in_environment(sk2,sk3),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f43,plain,
    greater_or_equal(sk3,appear(first_movers,sk2)),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f44,plain,
    greater(appear(efficient_producers,sk2),sk3),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f45,plain,
    ~ selection_favors(first_movers,efficient_producers,sk3),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f46,plain,
    ( subpopulation(efficient_producers,sk2,sk3)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f35,f42]) ).

fof(f47,plain,
    subpopulation(efficient_producers,sk2,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[f46,f41]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( in_environment(sk2,X1)
      | ~ greater_or_equal(X1,X0)
      | ~ greater_or_equal(sk3,X1)
      | ~ in_environment(sk2,X0)
      | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f31,f42]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( in_environment(sk2,X1)
      | ~ greater_or_equal(X1,X0)
      | ~ greater_or_equal(sk3,X1)
      | ~ in_environment(sk2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f48,f41]) ).

fof(f50,plain,
    ! [X0] :
      ( in_environment(sk2,X0)
      | ~ greater_or_equal(X0,sk3)
      | ~ greater_or_equal(sk3,X0) ),
    inference(resolution,[status(thm)],[f49,f42]) ).

fof(f52,plain,
    in_environment(sk2,start_time(sk2)),
    inference(resolution,[status(thm)],[f32,f41]) ).

fof(f53,plain,
    ! [X0] :
      ( in_environment(sk2,X0)
      | ~ greater_or_equal(X0,start_time(sk2))
      | ~ greater_or_equal(sk3,X0) ),
    inference(resolution,[status(thm)],[f52,f49]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( in_environment(sk2,X1)
      | ~ greater_or_equal(X1,X0)
      | ~ greater_or_equal(start_time(sk2),X1)
      | ~ in_environment(sk2,X0)
      | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f52,f31]) ).

fof(f55,plain,
    ( subpopulation(efficient_producers,sk2,start_time(sk2))
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f52,f35]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( in_environment(sk2,X1)
      | ~ greater_or_equal(X1,X0)
      | ~ greater_or_equal(start_time(sk2),X1)
      | ~ in_environment(sk2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f54,f41]) ).

fof(f57,plain,
    subpopulation(efficient_producers,sk2,start_time(sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[f55,f41]) ).

fof(f58,plain,
    greater_or_equal(appear(first_movers,sk2),start_time(sk2)),
    inference(resolution,[status(thm)],[f33,f41]) ).

fof(f59,plain,
    ( in_environment(sk2,appear(first_movers,sk2))
    | ~ greater_or_equal(sk3,appear(first_movers,sk2)) ),
    inference(resolution,[status(thm)],[f58,f53]) ).

fof(f60,plain,
    in_environment(sk2,appear(first_movers,sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[f59,f43]) ).

fof(f67,plain,
    ( subpopulation(first_movers,sk2,start_time(sk2))
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f34,f52]) ).

fof(f68,plain,
    ( subpopulation(first_movers,sk2,sk3)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f34,f42]) ).

fof(f70,plain,
    subpopulation(first_movers,sk2,start_time(sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[f67,f41]) ).

fof(f71,plain,
    subpopulation(first_movers,sk2,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[f68,f41]) ).

fof(f72,plain,
    ( in_environment(sk2,appear(an_organisation,sk2))
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f36,f60]) ).

fof(f73,plain,
    in_environment(sk2,appear(an_organisation,sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[f72,f41]) ).

fof(f74,plain,
    ! [X0] :
      ( in_environment(sk2,X0)
      | ~ greater_or_equal(X0,appear(an_organisation,sk2))
      | ~ greater_or_equal(sk3,X0) ),
    inference(resolution,[status(thm)],[f73,f49]) ).

fof(f75,plain,
    ( subpopulation(first_movers,sk2,appear(an_organisation,sk2))
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f73,f34]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( in_environment(sk2,X1)
      | ~ greater_or_equal(X1,X0)
      | ~ greater_or_equal(appear(an_organisation,sk2),X1)
      | ~ in_environment(sk2,X0)
      | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f73,f31]) ).

fof(f77,plain,
    ( subpopulation(efficient_producers,sk2,appear(an_organisation,sk2))
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f73,f35]) ).

fof(f78,plain,
    subpopulation(first_movers,sk2,appear(an_organisation,sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[f75,f41]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( in_environment(sk2,X1)
      | ~ greater_or_equal(X1,X0)
      | ~ greater_or_equal(appear(an_organisation,sk2),X1)
      | ~ in_environment(sk2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f76,f41]) ).

fof(f80,plain,
    subpopulation(efficient_producers,sk2,appear(an_organisation,sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[f77,f41]) ).

fof(f81,plain,
    ( cardinality_at_time(efficient_producers,sk3) = zero
    | ~ in_environment(sk2,sk3)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f24,f44]) ).

fof(f82,plain,
    ( cardinality_at_time(efficient_producers,sk3) = zero
    | ~ in_environment(sk2,sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f41]) ).

fof(f83,plain,
    cardinality_at_time(efficient_producers,sk3) = zero,
    inference(forward_subsumption_resolution,[status(thm)],[f82,f42]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( selection_favors(X1,efficient_producers,sk3)
      | ~ greater(cardinality_at_time(X1,sk3),zero)
      | ~ subpopulation(efficient_producers,X0,sk3)
      | ~ subpopulation(X1,X0,sk3)
      | ~ environment(X0) ),
    inference(resolution,[status(thm)],[f83,f22]) ).

fof(f94,plain,
    ( appear(an_organisation,sk2) = appear(first_movers,sk2)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f40,f73]) ).

fof(f95,plain,
    appear(an_organisation,sk2) = appear(first_movers,sk2),
    inference(forward_subsumption_resolution,[status(thm)],[f94,f41]) ).

fof(f101,plain,
    greater_or_equal(appear(an_organisation,sk2),start_time(sk2)),
    inference(backward_demodulation,[status(thm)],[f95,f58]) ).

fof(f102,plain,
    greater_or_equal(sk3,appear(an_organisation,sk2)),
    inference(backward_demodulation,[status(thm)],[f95,f43]) ).

fof(f104,plain,
    ! [X0] :
      ( cardinality_at_time(first_movers,X0) = zero
      | ~ greater(appear(an_organisation,sk2),X0)
      | ~ in_environment(sk2,X0)
      | ~ environment(sk2) ),
    inference(paramodulation,[status(thm)],[f95,f24]) ).

fof(f105,plain,
    ! [X0] :
      ( cardinality_at_time(first_movers,X0) = zero
      | ~ greater(appear(an_organisation,sk2),X0)
      | ~ in_environment(sk2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f104,f41]) ).

fof(f108,plain,
    ( greater(number_of_organizations(sk2,sk3),zero)
    | ~ in_environment(sk2,sk3)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f102,f37]) ).

fof(f109,plain,
    ( greater(number_of_organizations(sk2,sk3),zero)
    | ~ in_environment(sk2,sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f108,f41]) ).

fof(f112,plain,
    greater(number_of_organizations(sk2,sk3),zero),
    inference(forward_subsumption_resolution,[status(thm)],[f109,f42]) ).

fof(f113,plain,
    ( greater(cardinality_at_time(sk1(sk3,sk2),sk3),zero)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f112,f26]) ).

fof(f114,plain,
    ( subpopulation(sk1(sk3,sk2),sk2,sk3)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f112,f25]) ).

fof(f116,plain,
    greater(cardinality_at_time(sk1(sk3,sk2),sk3),zero),
    inference(forward_subsumption_resolution,[status(thm)],[f113,f41]) ).

fof(f117,plain,
    subpopulation(sk1(sk3,sk2),sk2,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[f114,f41]) ).

fof(f118,plain,
    ! [X0] :
      ( selection_favors(sk1(sk3,sk2),efficient_producers,sk3)
      | ~ subpopulation(efficient_producers,X0,sk3)
      | ~ subpopulation(sk1(sk3,sk2),X0,sk3)
      | ~ environment(X0) ),
    inference(resolution,[status(thm)],[f116,f84]) ).

fof(f119,plain,
    ! [X0] :
      ( sk1(sk3,sk2) = first_movers
      | sk1(sk3,sk2) = efficient_producers
      | ~ subpopulation(sk1(sk3,sk2),X0,sk3)
      | ~ environment(X0) ),
    inference(resolution,[status(thm)],[f116,f39]) ).

fof(f120,plain,
    ( selection_favors(sk1(sk3,sk2),efficient_producers,sk3)
    | ~ subpopulation(efficient_producers,sk2,sk3)
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f118,f117]) ).

fof(f121,plain,
    ( selection_favors(sk1(sk3,sk2),efficient_producers,sk3)
    | ~ subpopulation(efficient_producers,sk2,sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f120,f41]) ).

fof(f122,plain,
    ( sk1(sk3,sk2) = first_movers
    | sk1(sk3,sk2) = efficient_producers
    | ~ environment(sk2) ),
    inference(resolution,[status(thm)],[f119,f117]) ).

fof(f123,plain,
    ( sk1(sk3,sk2) = first_movers
    | sk1(sk3,sk2) = efficient_producers ),
    inference(forward_subsumption_resolution,[status(thm)],[f122,f41]) ).

fof(f131,plain,
    selection_favors(sk1(sk3,sk2),efficient_producers,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[f121,f47]) ).

fof(f132,plain,
    ( sk1(sk3,sk2) = efficient_producers
    | selection_favors(first_movers,efficient_producers,sk3) ),
    inference(paramodulation,[status(thm)],[f123,f131]) ).

fof(f133,plain,
    sk1(sk3,sk2) = efficient_producers,
    inference(forward_subsumption_resolution,[status(thm)],[f132,f45]) ).

fof(f134,plain,
    selection_favors(efficient_producers,efficient_producers,sk3),
    inference(backward_demodulation,[status(thm)],[f133,f131]) ).

fof(f138,plain,
    greater(cardinality_at_time(efficient_producers,sk3),zero),
    inference(backward_demodulation,[status(thm)],[f133,f116]) ).

fof(f140,plain,
    greater(zero,zero),
    inference(forward_demodulation,[status(thm)],[f83,f138]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT033-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n004.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 01:21:49 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.14/0.41  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.41  % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.43  % Elapsed time: 0.063947 seconds
% 0.14/0.43  % CPU time: 0.226876 seconds
% 0.14/0.43  % Total memory used: 81.624 MB
% 0.14/0.43  % Net memory used: 81.230 MB
%------------------------------------------------------------------------------