%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 06:18:43 AM UTC 2026
% Result : Theorem 0.33s 0.59s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n020.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
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 12:23:13 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("~\|"), Token.Nor),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("\|"), Token.Or),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.41 (re.compile("\?"), Token.Existential),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.48 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 0.23/0.48 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 0.33/0.57 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.57 """
% 0.33/0.59 % Version: 1.5
% 0.33/0.59 % SZS status Theorem
% 0.33/0.59 % SZS output start CNFRefutation
% 0.33/0.59 fof(prove_t1,conjecture,(![E]:((environment(E)&stable(E))=>(?[To]:(in_environment(E,To)&(![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))=>selection_favors(efficient_producers,first_movers,T))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_t1)).
% 0.33/0.59 fof(c0,negated_conjecture,(~(![E]:((environment(E)&stable(E))=>(?[To]:(in_environment(E,To)&(![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))=>selection_favors(efficient_producers,first_movers,T)))))))),inference(assume_negation,[status(cth)],[prove_t1])).
% 0.33/0.59 fof(c1,negated_conjecture,(?[E]:((environment(E)&stable(E))&(![To]:(~in_environment(E,To)|(?[T]:((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~selection_favors(efficient_producers,first_movers,T))))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.33/0.59 fof(c2,negated_conjecture,(?[X2]:((environment(X2)&stable(X2))&(![X3]:(~in_environment(X2,X3)|(?[X4]:((subpopulations(first_movers,efficient_producers,X2,X4)&greater_or_equal(X4,X3))&~selection_favors(efficient_producers,first_movers,X4))))))),inference(variable_rename,[status(thm)],[c1])).
% 0.33/0.59 fof(c4,negated_conjecture,(![X3]:((environment(skolem0001)&stable(skolem0001))&(~in_environment(skolem0001,X3)|((subpopulations(first_movers,efficient_producers,skolem0001,skolem0002(X3))&greater_or_equal(skolem0002(X3),X3))&~selection_favors(efficient_producers,first_movers,skolem0002(X3)))))),inference(shift_quantors,[status(thm)],[fof(c3,negated_conjecture,((environment(skolem0001)&stable(skolem0001))&(![X3]:(~in_environment(skolem0001,X3)|((subpopulations(first_movers,efficient_producers,skolem0001,skolem0002(X3))&greater_or_equal(skolem0002(X3),X3))&~selection_favors(efficient_producers,first_movers,skolem0002(X3)))))),inference(skolemize,[status(esa)],[c2])).])).
% 0.33/0.59 fof(c5,negated_conjecture,(![X3]:((environment(skolem0001)&stable(skolem0001))&(((~in_environment(skolem0001,X3)|subpopulations(first_movers,efficient_producers,skolem0001,skolem0002(X3)))&(~in_environment(skolem0001,X3)|greater_or_equal(skolem0002(X3),X3)))&(~in_environment(skolem0001,X3)|~selection_favors(efficient_producers,first_movers,skolem0002(X3)))))),inference(distribute,[status(thm)],[c4])).
% 0.33/0.59 cnf(c6,negated_conjecture,environment(skolem0001),inference(split_conjunct,[status(thm)],[c5])).
% 0.33/0.59 cnf(c7,negated_conjecture,stable(skolem0001),inference(split_conjunct,[status(thm)],[c5])).
% 0.33/0.59 fof(l1,plain,(![E]:((environment(E)&stable(E))=>(?[To]:(in_environment(E,To)&(![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))=>greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l1)).
% 0.33/0.59 fof(c11,plain,(![E]:((~environment(E)|~stable(E))|(?[To]:(in_environment(E,To)&(![T]:((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),inference(fof_nnf,[status(thm)],[l1])).
% 0.33/0.59 fof(c12,plain,(![X5]:((~environment(X5)|~stable(X5))|(?[X6]:(in_environment(X5,X6)&(![X7]:((~subpopulations(first_movers,efficient_producers,X5,X7)|~greater_or_equal(X7,X6))|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)))))))),inference(variable_rename,[status(thm)],[c11])).
% 0.33/0.59 fof(c14,plain,(![X5]:(![X7]:((~environment(X5)|~stable(X5))|(in_environment(X5,skolem0003(X5))&((~subpopulations(first_movers,efficient_producers,X5,X7)|~greater_or_equal(X7,skolem0003(X5)))|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))))))),inference(shift_quantors,[status(thm)],[fof(c13,plain,(![X5]:((~environment(X5)|~stable(X5))|(in_environment(X5,skolem0003(X5))&(![X7]:((~subpopulations(first_movers,efficient_producers,X5,X7)|~greater_or_equal(X7,skolem0003(X5)))|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))))))),inference(skolemize,[status(esa)],[c12])).])).
% 0.33/0.59 fof(c15,plain,(![X5]:(![X7]:(((~environment(X5)|~stable(X5))|in_environment(X5,skolem0003(X5)))&((~environment(X5)|~stable(X5))|((~subpopulations(first_movers,efficient_producers,X5,X7)|~greater_or_equal(X7,skolem0003(X5)))|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))))))),inference(distribute,[status(thm)],[c14])).
% 0.33/0.59 cnf(c16,plain,~environment(X13)|~stable(X13)|in_environment(X13,skolem0003(X13)),inference(split_conjunct,[status(thm)],[c15])).
% 0.33/0.59 cnf(c21,plain,~environment(skolem0001)|in_environment(skolem0001,skolem0003(skolem0001)),inference(resolution,[status(thm)],[c16, c7])).
% 0.33/0.59 cnf(c22,plain,in_environment(skolem0001,skolem0003(skolem0001)),inference(resolution,[status(thm)],[c21, c6])).
% 0.33/0.59 cnf(c10,negated_conjecture,~in_environment(skolem0001,X15)|~selection_favors(efficient_producers,first_movers,skolem0002(X15)),inference(split_conjunct,[status(thm)],[c5])).
% 0.33/0.59 cnf(c8,negated_conjecture,~in_environment(skolem0001,X14)|subpopulations(first_movers,efficient_producers,skolem0001,skolem0002(X14)),inference(split_conjunct,[status(thm)],[c5])).
% 0.33/0.59 cnf(c24,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0002(skolem0003(skolem0001))),inference(resolution,[status(thm)],[c22, c8])).
% 0.33/0.59 fof(mp1_high_growth_rates,axiom,(![E]:(![S1]:(![S2]:(![T]:(((environment(E)&subpopulations(S1,S2,E,T))&greater(growth_rate(S2,T),growth_rate(S1,T)))=>selection_favors(S2,S1,T)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp1_high_growth_rates)).
% 0.33/0.59 fof(c18,plain,(![E]:(![S1]:(![S2]:(![T]:(((~environment(E)|~subpopulations(S1,S2,E,T))|~greater(growth_rate(S2,T),growth_rate(S1,T)))|selection_favors(S2,S1,T)))))),inference(fof_nnf,[status(thm)],[mp1_high_growth_rates])).
% 0.33/0.59 fof(c19,plain,(![X8]:(![X9]:(![X10]:(![X11]:(((~environment(X8)|~subpopulations(X9,X10,X8,X11))|~greater(growth_rate(X10,X11),growth_rate(X9,X11)))|selection_favors(X10,X9,X11)))))),inference(variable_rename,[status(thm)],[c18])).
% 0.33/0.59 cnf(c20,plain,~environment(X18)|~subpopulations(X16,X19,X18,X17)|~greater(growth_rate(X19,X17),growth_rate(X16,X17))|selection_favors(X19,X16,X17),inference(split_conjunct,[status(thm)],[c19])).
% 0.33/0.59 cnf(c9,negated_conjecture,~in_environment(skolem0001,X12)|greater_or_equal(skolem0002(X12),X12),inference(split_conjunct,[status(thm)],[c5])).
% 0.33/0.59 cnf(c23,plain,greater_or_equal(skolem0002(skolem0003(skolem0001)),skolem0003(skolem0001)),inference(resolution,[status(thm)],[c22, c9])).
% 0.33/0.59 cnf(c17,plain,~environment(X21)|~stable(X21)|~subpopulations(first_movers,efficient_producers,X21,X20)|~greater_or_equal(X20,skolem0003(X21))|greater(growth_rate(efficient_producers,X20),growth_rate(first_movers,X20)),inference(split_conjunct,[status(thm)],[c15])).
% 0.33/0.59 cnf(c25,plain,~environment(skolem0001)|~stable(skolem0001)|~greater_or_equal(skolem0002(skolem0003(skolem0001)),skolem0003(skolem0001))|greater(growth_rate(efficient_producers,skolem0002(skolem0003(skolem0001))),growth_rate(first_movers,skolem0002(skolem0003(skolem0001)))),inference(resolution,[status(thm)],[c17, c24])).
% 0.33/0.59 cnf(c26,plain,~environment(skolem0001)|~stable(skolem0001)|greater(growth_rate(efficient_producers,skolem0002(skolem0003(skolem0001))),growth_rate(first_movers,skolem0002(skolem0003(skolem0001)))),inference(resolution,[status(thm)],[c25, c23])).
% 0.33/0.59 cnf(c27,plain,~environment(skolem0001)|greater(growth_rate(efficient_producers,skolem0002(skolem0003(skolem0001))),growth_rate(first_movers,skolem0002(skolem0003(skolem0001)))),inference(resolution,[status(thm)],[c26, c7])).
% 0.33/0.59 cnf(c28,plain,greater(growth_rate(efficient_producers,skolem0002(skolem0003(skolem0001))),growth_rate(first_movers,skolem0002(skolem0003(skolem0001)))),inference(resolution,[status(thm)],[c27, c6])).
% 0.33/0.59 cnf(c29,plain,~environment(X22)|~subpopulations(first_movers,efficient_producers,X22,skolem0002(skolem0003(skolem0001)))|selection_favors(efficient_producers,first_movers,skolem0002(skolem0003(skolem0001))),inference(resolution,[status(thm)],[c28, c20])).
% 0.33/0.59 cnf(c30,plain,~environment(skolem0001)|selection_favors(efficient_producers,first_movers,skolem0002(skolem0003(skolem0001))),inference(resolution,[status(thm)],[c29, c24])).
% 0.33/0.59 cnf(c31,plain,selection_favors(efficient_producers,first_movers,skolem0002(skolem0003(skolem0001))),inference(resolution,[status(thm)],[c30, c6])).
% 0.33/0.59 cnf(c32,plain,~in_environment(skolem0001,skolem0003(skolem0001)),inference(resolution,[status(thm)],[c31, c10])).
% 0.33/0.59 cnf(c33,plain,$false,inference(resolution,[status(thm)],[c32, c22])).
% 0.33/0.59 % SZS output end CNFRefutation
% 0.33/0.59
% 0.33/0.59 % Initial clauses : 8
% 0.33/0.59 % Processed clauses : 20
% 0.33/0.59 % Factors computed : 0
% 0.33/0.59 % Resolvents computed: 13
% 0.33/0.59 % Tautologies deleted: 0
% 0.33/0.59 % Forward subsumed : 0
% 0.33/0.59 % Backward subsumed : 6
% 0.33/0.59 % -------- CPU Time ---------
% 0.33/0.59 % User time : 0.216 s
% 0.33/0.59 % System time : 0.029 s
% 0.33/0.59 % Total time : 0.245 s
%------------------------------------------------------------------------------