%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT036+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 : Tue Sep 8 06:18:44 AM UTC 2026
% Result : Theorem 0.41s 0.63s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 12:41:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.15/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.15/0.41 (re.compile("\."), Token.FullStop),
% 0.15/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.15/0.41 (re.compile("\("), Token.OpenPar),
% 0.15/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.15/0.41 (re.compile("\)"), Token.ClosePar),
% 0.15/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.15/0.41 (re.compile("\["), Token.OpenSquare),
% 0.15/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.15/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.42 (re.compile("~\|"), Token.Nor),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.42 (re.compile("\|"), Token.Or),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.15/0.42 (re.compile("\?"), Token.Existential),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.15/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.15/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.15/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.24/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.24/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.34/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.58 """
% 0.41/0.63 % Version: 1.5
% 0.41/0.63 % SZS status Theorem
% 0.41/0.63 % SZS output start CNFRefutation
% 0.41/0.63 fof(prove_t5,conjecture,(![E]:(![T]:((environment(E)&subpopulations(first_movers,efficient_producers,E,T))=>(~outcompetes(first_movers,efficient_producers,T))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_t5)).
% 0.41/0.63 fof(c0,negated_conjecture,(~(![E]:(![T]:((environment(E)&subpopulations(first_movers,efficient_producers,E,T))=>(~outcompetes(first_movers,efficient_producers,T)))))),inference(assume_negation,[status(cth)],[prove_t5])).
% 0.41/0.63 fof(c1,negated_conjecture,(~(![E]:(![T]:((environment(E)&subpopulations(first_movers,efficient_producers,E,T))=>~outcompetes(first_movers,efficient_producers,T))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.41/0.63 fof(c2,negated_conjecture,(?[E]:(?[T]:((environment(E)&subpopulations(first_movers,efficient_producers,E,T))&outcompetes(first_movers,efficient_producers,T)))),inference(fof_nnf,[status(thm)],[c1])).
% 0.41/0.63 fof(c3,negated_conjecture,(?[X2]:(?[X3]:((environment(X2)&subpopulations(first_movers,efficient_producers,X2,X3))&outcompetes(first_movers,efficient_producers,X3)))),inference(variable_rename,[status(thm)],[c2])).
% 0.41/0.63 fof(c4,negated_conjecture,((environment(skolem0001)&subpopulations(first_movers,efficient_producers,skolem0001,skolem0002))&outcompetes(first_movers,efficient_producers,skolem0002)),inference(skolemize,[status(esa)],[c3])).
% 0.41/0.63 cnf(c5,negated_conjecture,environment(skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 0.41/0.63 cnf(c7,negated_conjecture,outcompetes(first_movers,efficient_producers,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.41/0.63 cnf(c6,negated_conjecture,subpopulations(first_movers,efficient_producers,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.41/0.63 fof(mp_symmetry_of_subpopulations,axiom,(![E]:(![S1]:(![S2]:(![T]:((environment(E)&subpopulations(S1,S2,E,T))=>subpopulations(S2,S1,E,T)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_symmetry_of_subpopulations)).
% 0.41/0.63 fof(c32,plain,(![E]:(![S1]:(![S2]:(![T]:((~environment(E)|~subpopulations(S1,S2,E,T))|subpopulations(S2,S1,E,T)))))),inference(fof_nnf,[status(thm)],[mp_symmetry_of_subpopulations])).
% 0.41/0.63 fof(c33,plain,(![X22]:(![X23]:(![X24]:(![X25]:((~environment(X22)|~subpopulations(X23,X24,X22,X25))|subpopulations(X24,X23,X22,X25)))))),inference(variable_rename,[status(thm)],[c32])).
% 0.41/0.63 cnf(c34,plain,~environment(X39)|~subpopulations(X42,X41,X39,X40)|subpopulations(X41,X42,X39,X40),inference(split_conjunct,[status(thm)],[c33])).
% 0.41/0.63 cnf(c37,plain,~environment(skolem0001)|subpopulations(efficient_producers,first_movers,skolem0001,skolem0002),inference(resolution,[status(thm)],[c34, c6])).
% 0.41/0.63 cnf(c38,plain,subpopulations(efficient_producers,first_movers,skolem0001,skolem0002),inference(resolution,[status(thm)],[c37, c5])).
% 0.41/0.63 fof(d2,plain,(![E]:(![S1]:(![S2]:(![T]:((environment(E)&subpopulations(S1,S2,E,T))=>((greater_or_equal(growth_rate(S2,T),zero)&greater(zero,growth_rate(S1,T)))<=>outcompetes(S2,S1,T))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2)).
% 0.41/0.63 fof(c13,plain,(![E]:(![S1]:(![S2]:(![T]:((~environment(E)|~subpopulations(S1,S2,E,T))|(((~greater_or_equal(growth_rate(S2,T),zero)|~greater(zero,growth_rate(S1,T)))|outcompetes(S2,S1,T))&(~outcompetes(S2,S1,T)|(greater_or_equal(growth_rate(S2,T),zero)&greater(zero,growth_rate(S1,T)))))))))),inference(fof_nnf,[status(thm)],[d2])).
% 0.41/0.63 fof(c14,plain,(![X8]:(![X9]:(![X10]:(![X11]:((~environment(X8)|~subpopulations(X9,X10,X8,X11))|(((~greater_or_equal(growth_rate(X10,X11),zero)|~greater(zero,growth_rate(X9,X11)))|outcompetes(X10,X9,X11))&(~outcompetes(X10,X9,X11)|(greater_or_equal(growth_rate(X10,X11),zero)&greater(zero,growth_rate(X9,X11)))))))))),inference(variable_rename,[status(thm)],[c13])).
% 0.41/0.63 fof(c15,plain,(![X8]:(![X9]:(![X10]:(![X11]:(((~environment(X8)|~subpopulations(X9,X10,X8,X11))|((~greater_or_equal(growth_rate(X10,X11),zero)|~greater(zero,growth_rate(X9,X11)))|outcompetes(X10,X9,X11)))&(((~environment(X8)|~subpopulations(X9,X10,X8,X11))|(~outcompetes(X10,X9,X11)|greater_or_equal(growth_rate(X10,X11),zero)))&((~environment(X8)|~subpopulations(X9,X10,X8,X11))|(~outcompetes(X10,X9,X11)|greater(zero,growth_rate(X9,X11)))))))))),inference(distribute,[status(thm)],[c14])).
% 0.41/0.63 cnf(c17,plain,~environment(X50)|~subpopulations(X51,X52,X50,X49)|~outcompetes(X52,X51,X49)|greater_or_equal(growth_rate(X52,X49),zero),inference(split_conjunct,[status(thm)],[c15])).
% 0.41/0.63 cnf(c40,plain,~environment(skolem0001)|~outcompetes(first_movers,efficient_producers,skolem0002)|greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,[status(thm)],[c17, c38])).
% 0.41/0.63 cnf(c44,plain,~environment(skolem0001)|greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,[status(thm)],[c40, c7])).
% 0.41/0.63 cnf(c45,plain,greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,[status(thm)],[c44, c5])).
% 0.41/0.63 fof(mp_growth_rate_relationships,axiom,(![E]:(![S1]:(![S2]:(![T]:(((environment(E)&subpopulations(S1,S2,E,T))=>greater_or_equal(growth_rate(S1,T),zero))<=>(~greater(zero,growth_rate(S1,T)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_growth_rate_relationships)).
% 0.41/0.63 fof(c19,plain,(![E]:(![S1]:(![S2]:(![T]:(((environment(E)&subpopulations(S1,S2,E,T))=>greater_or_equal(growth_rate(S1,T),zero))<=>~greater(zero,growth_rate(S1,T))))))),inference(fof_simplification,[status(thm)],[mp_growth_rate_relationships])).
% 0.41/0.63 fof(c20,plain,(![E]:(![S1]:(![S2]:(![T]:((((environment(E)&subpopulations(S1,S2,E,T))&~greater_or_equal(growth_rate(S1,T),zero))|~greater(zero,growth_rate(S1,T)))&(greater(zero,growth_rate(S1,T))|((~environment(E)|~subpopulations(S1,S2,E,T))|greater_or_equal(growth_rate(S1,T),zero)))))))),inference(fof_nnf,[status(thm)],[c19])).
% 0.41/0.63 fof(c21,plain,((![E]:(![S1]:(![S2]:(![T]:(((environment(E)&subpopulations(S1,S2,E,T))&~greater_or_equal(growth_rate(S1,T),zero))|~greater(zero,growth_rate(S1,T)))))))&(![E]:(![S1]:(![S2]:(![T]:(greater(zero,growth_rate(S1,T))|((~environment(E)|~subpopulations(S1,S2,E,T))|greater_or_equal(growth_rate(S1,T),zero)))))))),inference(shift_quantors,[status(thm)],[c20])).
% 0.41/0.63 fof(c23,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((((environment(X12)&subpopulations(X13,X14,X12,X15))&~greater_or_equal(growth_rate(X13,X15),zero))|~greater(zero,growth_rate(X13,X15)))&(greater(zero,growth_rate(X17,X19))|((~environment(X16)|~subpopulations(X17,X18,X16,X19))|greater_or_equal(growth_rate(X17,X19),zero)))))))))))),inference(shift_quantors,[status(thm)],[fof(c22,plain,((![X12]:(![X13]:(![X14]:(![X15]:(((environment(X12)&subpopulations(X13,X14,X12,X15))&~greater_or_equal(growth_rate(X13,X15),zero))|~greater(zero,growth_rate(X13,X15)))))))&(![X16]:(![X17]:(![X18]:(![X19]:(greater(zero,growth_rate(X17,X19))|((~environment(X16)|~subpopulations(X17,X18,X16,X19))|greater_or_equal(growth_rate(X17,X19),zero)))))))),inference(variable_rename,[status(thm)],[c21])).])).
% 0.41/0.63 fof(c24,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((((environment(X12)|~greater(zero,growth_rate(X13,X15)))&(subpopulations(X13,X14,X12,X15)|~greater(zero,growth_rate(X13,X15))))&(~greater_or_equal(growth_rate(X13,X15),zero)|~greater(zero,growth_rate(X13,X15))))&(greater(zero,growth_rate(X17,X19))|((~environment(X16)|~subpopulations(X17,X18,X16,X19))|greater_or_equal(growth_rate(X17,X19),zero)))))))))))),inference(distribute,[status(thm)],[c23])).
% 0.41/0.63 cnf(c27,plain,~greater_or_equal(growth_rate(X48,X47),zero)|~greater(zero,growth_rate(X48,X47)),inference(split_conjunct,[status(thm)],[c24])).
% 0.41/0.63 cnf(c25,plain,environment(X27)|~greater(zero,growth_rate(X28,X26)),inference(split_conjunct,[status(thm)],[c24])).
% 0.41/0.63 cnf(c18,plain,~environment(X54)|~subpopulations(X55,X56,X54,X53)|~outcompetes(X56,X55,X53)|greater(zero,growth_rate(X55,X53)),inference(split_conjunct,[status(thm)],[c15])).
% 0.41/0.63 cnf(c42,plain,~environment(skolem0001)|~outcompetes(first_movers,efficient_producers,skolem0002)|greater(zero,growth_rate(efficient_producers,skolem0002)),inference(resolution,[status(thm)],[c18, c38])).
% 0.41/0.63 cnf(c46,plain,~environment(skolem0001)|greater(zero,growth_rate(efficient_producers,skolem0002)),inference(resolution,[status(thm)],[c42, c7])).
% 0.41/0.63 cnf(c49,plain,greater(zero,growth_rate(efficient_producers,skolem0002)),inference(resolution,[status(thm)],[c46, c5])).
% 0.41/0.63 cnf(c50,plain,environment(X61),inference(resolution,[status(thm)],[c49, c25])).
% 0.41/0.63 fof(mp_time_point_occur,axiom,(![E]:(![T]:((environment(E)&subpopulations(first_movers,efficient_producers,E,T))=>in_environment(E,T)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_time_point_occur)).
% 0.41/0.63 fof(c29,plain,(![E]:(![T]:((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|in_environment(E,T)))),inference(fof_nnf,[status(thm)],[mp_time_point_occur])).
% 0.41/0.63 fof(c30,plain,(![X20]:(![X21]:((~environment(X20)|~subpopulations(first_movers,efficient_producers,X20,X21))|in_environment(X20,X21)))),inference(variable_rename,[status(thm)],[c29])).
% 0.41/0.63 cnf(c31,plain,~environment(X38)|~subpopulations(first_movers,efficient_producers,X38,X37)|in_environment(X38,X37),inference(split_conjunct,[status(thm)],[c30])).
% 0.41/0.63 cnf(c26,plain,subpopulations(X35,X33,X36,X34)|~greater(zero,growth_rate(X35,X34)),inference(split_conjunct,[status(thm)],[c24])).
% 0.41/0.63 cnf(c54,plain,subpopulations(efficient_producers,X62,X63,skolem0002),inference(resolution,[status(thm)],[c49, c26])).
% 0.41/0.63 cnf(c57,plain,~environment(X65)|subpopulations(X64,efficient_producers,X65,skolem0002),inference(resolution,[status(thm)],[c54, c34])).
% 0.41/0.63 cnf(c59,plain,subpopulations(X67,efficient_producers,X66,skolem0002),inference(resolution,[status(thm)],[c57, c50])).
% 0.41/0.63 cnf(c64,plain,~environment(X68)|in_environment(X68,skolem0002),inference(resolution,[status(thm)],[c59, c31])).
% 0.41/0.63 cnf(c65,plain,in_environment(X69,skolem0002),inference(resolution,[status(thm)],[c64, c50])).
% 0.41/0.63 fof(a2,plain,greater(resilience(efficient_producers),resilience(first_movers)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a2)).
% 0.41/0.63 cnf(c12,plain,greater(resilience(efficient_producers),resilience(first_movers)),inference(split_conjunct,[status(thm)],[a2])).
% 0.41/0.63 fof(a13,plain,(![E]:(![S1]:(![S2]:(![T]:((((environment(E)&in_environment(E,T))&(~greater(zero,growth_rate(S1,T))))&greater(resilience(S2),resilience(S1)))=>(~greater(zero,growth_rate(S2,T)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a13)).
% 0.41/0.63 fof(c8,plain,(![E]:(![S1]:(![S2]:(![T]:((((environment(E)&in_environment(E,T))&~greater(zero,growth_rate(S1,T)))&greater(resilience(S2),resilience(S1)))=>~greater(zero,growth_rate(S2,T))))))),inference(fof_simplification,[status(thm)],[a13])).
% 0.41/0.63 fof(c9,plain,(![E]:(![S1]:(![S2]:(![T]:((((~environment(E)|~in_environment(E,T))|greater(zero,growth_rate(S1,T)))|~greater(resilience(S2),resilience(S1)))|~greater(zero,growth_rate(S2,T))))))),inference(fof_nnf,[status(thm)],[c8])).
% 0.41/0.63 fof(c10,plain,(![X4]:(![X5]:(![X6]:(![X7]:((((~environment(X4)|~in_environment(X4,X7))|greater(zero,growth_rate(X5,X7)))|~greater(resilience(X6),resilience(X5)))|~greater(zero,growth_rate(X6,X7))))))),inference(variable_rename,[status(thm)],[c9])).
% 0.41/0.63 cnf(c11,plain,~environment(X31)|~in_environment(X31,X30)|greater(zero,growth_rate(X32,X30))|~greater(resilience(X29),resilience(X32))|~greater(zero,growth_rate(X29,X30)),inference(split_conjunct,[status(thm)],[c10])).
% 0.41/0.63 cnf(c51,plain,~environment(X90)|~in_environment(X90,skolem0002)|greater(zero,growth_rate(X89,skolem0002))|~greater(resilience(efficient_producers),resilience(X89)),inference(resolution,[status(thm)],[c49, c11])).
% 0.41/0.63 cnf(c79,plain,~environment(X93)|~in_environment(X93,skolem0002)|greater(zero,growth_rate(first_movers,skolem0002)),inference(resolution,[status(thm)],[c51, c12])).
% 0.41/0.63 cnf(c80,plain,~environment(X94)|greater(zero,growth_rate(first_movers,skolem0002)),inference(resolution,[status(thm)],[c79, c65])).
% 0.41/0.63 cnf(c81,plain,greater(zero,growth_rate(first_movers,skolem0002)),inference(resolution,[status(thm)],[c80, c50])).
% 0.41/0.63 cnf(c83,plain,~greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,[status(thm)],[c81, c27])).
% 0.41/0.63 cnf(c96,plain,$false,inference(resolution,[status(thm)],[c83, c45])).
% 0.41/0.63 % SZS output end CNFRefutation
% 0.41/0.63
% 0.41/0.63 % Initial clauses : 14
% 0.41/0.63 % Processed clauses : 46
% 0.41/0.63 % Factors computed : 0
% 0.41/0.63 % Resolvents computed: 62
% 0.41/0.63 % Tautologies deleted: 1
% 0.41/0.63 % Forward subsumed : 10
% 0.41/0.63 % Backward subsumed : 18
% 0.41/0.63 % -------- CPU Time ---------
% 0.41/0.63 % User time : 0.244 s
% 0.41/0.63 % System time : 0.030 s
% 0.41/0.63 % Total time : 0.274 s
%------------------------------------------------------------------------------