TSTP Solution File: MGT032+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:23:24 EDT 2022
% Result : Theorem 0.11s 0.42s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08 % Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.08 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Thu Jun 9 12:01:22 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.42 # Version: 1.3
% 0.11/0.42 # SZS status Theorem
% 0.11/0.42 # SZS output start CNFRefutation
% 0.11/0.42 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))))))),input).
% 0.11/0.42 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])).
% 0.11/0.42 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])).
% 0.11/0.42 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])).
% 0.11/0.42 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])).])).
% 0.11/0.42 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])).
% 0.11/0.42 cnf(c6,negated_conjecture,environment(skolem0001),inference(split_conjunct,status(thm),[c5])).
% 0.11/0.42 cnf(c7,negated_conjecture,stable(skolem0001),inference(split_conjunct,status(thm),[c5])).
% 0.11/0.42 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)))))))),input).
% 0.11/0.42 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])).
% 0.11/0.42 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])).
% 0.11/0.42 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])).])).
% 0.11/0.42 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])).
% 0.11/0.42 cnf(c16,plain,~environment(X13)|~stable(X13)|in_environment(X13,skolem0003(X13)),inference(split_conjunct,status(thm),[c15])).
% 0.11/0.42 cnf(c21,plain,~environment(skolem0001)|in_environment(skolem0001,skolem0003(skolem0001)),inference(resolution,status(thm),[c16, c7])).
% 0.11/0.42 cnf(c22,plain,in_environment(skolem0001,skolem0003(skolem0001)),inference(resolution,status(thm),[c21, c6])).
% 0.11/0.42 cnf(c10,negated_conjecture,~in_environment(skolem0001,X15)|~selection_favors(efficient_producers,first_movers,skolem0002(X15)),inference(split_conjunct,status(thm),[c5])).
% 0.11/0.42 cnf(c8,negated_conjecture,~in_environment(skolem0001,X14)|subpopulations(first_movers,efficient_producers,skolem0001,skolem0002(X14)),inference(split_conjunct,status(thm),[c5])).
% 0.11/0.42 cnf(c24,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0002(skolem0003(skolem0001))),inference(resolution,status(thm),[c22, c8])).
% 0.11/0.42 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)))))),input).
% 0.11/0.42 fof(c18,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)))))),inference(fof_nnf,status(thm),[mp1_high_growth_rates])).
% 0.11/0.42 fof(c19,axiom,(![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])).
% 0.11/0.42 cnf(c20,axiom,~environment(X16)|~subpopulations(X17,X19,X16,X18)|~greater(growth_rate(X19,X18),growth_rate(X17,X18))|selection_favors(X19,X17,X18),inference(split_conjunct,status(thm),[c19])).
% 0.11/0.42 cnf(c9,negated_conjecture,~in_environment(skolem0001,X12)|greater_or_equal(skolem0002(X12),X12),inference(split_conjunct,status(thm),[c5])).
% 0.11/0.42 cnf(c23,plain,greater_or_equal(skolem0002(skolem0003(skolem0001)),skolem0003(skolem0001)),inference(resolution,status(thm),[c22, c9])).
% 0.11/0.42 cnf(c17,plain,~environment(X20)|~stable(X20)|~subpopulations(first_movers,efficient_producers,X20,X21)|~greater_or_equal(X21,skolem0003(X20))|greater(growth_rate(efficient_producers,X21),growth_rate(first_movers,X21)),inference(split_conjunct,status(thm),[c15])).
% 0.11/0.42 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])).
% 0.11/0.42 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])).
% 0.11/0.42 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])).
% 0.11/0.42 cnf(c28,plain,greater(growth_rate(efficient_producers,skolem0002(skolem0003(skolem0001))),growth_rate(first_movers,skolem0002(skolem0003(skolem0001)))),inference(resolution,status(thm),[c27, c6])).
% 0.11/0.42 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])).
% 0.11/0.42 cnf(c30,plain,~environment(skolem0001)|selection_favors(efficient_producers,first_movers,skolem0002(skolem0003(skolem0001))),inference(resolution,status(thm),[c29, c24])).
% 0.11/0.42 cnf(c31,plain,selection_favors(efficient_producers,first_movers,skolem0002(skolem0003(skolem0001))),inference(resolution,status(thm),[c30, c6])).
% 0.11/0.42 cnf(c32,plain,~in_environment(skolem0001,skolem0003(skolem0001)),inference(resolution,status(thm),[c31, c10])).
% 0.11/0.42 cnf(c33,plain,$false,inference(resolution,status(thm),[c32, c22])).
% 0.11/0.42 # SZS output end CNFRefutation
% 0.11/0.42
% 0.11/0.42 # Initial clauses : 8
% 0.11/0.42 # Processed clauses : 20
% 0.11/0.42 # Factors computed : 0
% 0.11/0.42 # Resolvents computed: 13
% 0.11/0.42 # Tautologies deleted: 0
% 0.11/0.42 # Forward subsumed : 0
% 0.11/0.42 # Backward subsumed : 6
% 0.11/0.42 # -------- CPU Time ---------
% 0.11/0.42 # User time : 0.136 s
% 0.11/0.42 # System time : 0.012 s
% 0.11/0.42 # Total time : 0.148 s
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