TSTP Solution File: MGT036+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 22:23:25 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 12:16:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 # Version: 1.3
% 0.20/0.55 # SZS status Theorem
% 0.20/0.55 # SZS output start CNFRefutation
% 0.20/0.55 fof(prove_t5,conjecture,(![E]:(![T]:((environment(E)&subpopulations(first_movers,efficient_producers,E,T))=>(~outcompetes(first_movers,efficient_producers,T))))),input).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 fof(c4,negated_conjecture,((environment(skolem0001)&subpopulations(first_movers,efficient_producers,skolem0001,skolem0002))&outcompetes(first_movers,efficient_producers,skolem0002)),inference(skolemize,status(esa),[c3])).
% 0.20/0.55 cnf(c5,negated_conjecture,environment(skolem0001),inference(split_conjunct,status(thm),[c4])).
% 0.20/0.55 cnf(c7,negated_conjecture,outcompetes(first_movers,efficient_producers,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.20/0.55 cnf(c6,negated_conjecture,subpopulations(first_movers,efficient_producers,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.20/0.55 fof(mp_symmetry_of_subpopulations,axiom,(![E]:(![S1]:(![S2]:(![T]:((environment(E)&subpopulations(S1,S2,E,T))=>subpopulations(S2,S1,E,T)))))),input).
% 0.20/0.55 fof(c32,axiom,(![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])).
% 0.20/0.55 fof(c33,axiom,(![X22]:(![X23]:(![X24]:(![X25]:((~environment(X22)|~subpopulations(X23,X24,X22,X25))|subpopulations(X24,X23,X22,X25)))))),inference(variable_rename,status(thm),[c32])).
% 0.20/0.55 cnf(c34,axiom,~environment(X39)|~subpopulations(X41,X42,X39,X40)|subpopulations(X42,X41,X39,X40),inference(split_conjunct,status(thm),[c33])).
% 0.20/0.55 cnf(c37,plain,~environment(skolem0001)|subpopulations(efficient_producers,first_movers,skolem0001,skolem0002),inference(resolution,status(thm),[c34, c6])).
% 0.20/0.55 cnf(c38,plain,subpopulations(efficient_producers,first_movers,skolem0001,skolem0002),inference(resolution,status(thm),[c37, c5])).
% 0.20/0.55 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))))))),input).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 cnf(c41,plain,~environment(skolem0001)|~outcompetes(first_movers,efficient_producers,skolem0002)|greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,status(thm),[c17, c38])).
% 0.20/0.55 cnf(c44,plain,~environment(skolem0001)|greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,status(thm),[c41, c7])).
% 0.20/0.55 cnf(c45,plain,greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,status(thm),[c44, c5])).
% 0.20/0.55 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)))))))),input).
% 0.20/0.55 fof(c19,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))))))),inference(fof_simplification,status(thm),[mp_growth_rate_relationships])).
% 0.20/0.55 fof(c20,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)))&(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])).
% 0.20/0.55 fof(c21,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)))))))&(![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])).
% 0.20/0.55 fof(c23,axiom,(![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,axiom,((![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])).])).
% 0.20/0.55 fof(c24,axiom,(![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])).
% 0.20/0.55 cnf(c27,axiom,~greater_or_equal(growth_rate(X47,X48),zero)|~greater(zero,growth_rate(X47,X48)),inference(split_conjunct,status(thm),[c24])).
% 0.20/0.55 cnf(c25,axiom,environment(X27)|~greater(zero,growth_rate(X26,X28)),inference(split_conjunct,status(thm),[c24])).
% 0.20/0.55 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])).
% 0.20/0.55 cnf(c43,plain,~environment(skolem0001)|~outcompetes(first_movers,efficient_producers,skolem0002)|greater(zero,growth_rate(efficient_producers,skolem0002)),inference(resolution,status(thm),[c18, c38])).
% 0.20/0.55 cnf(c48,plain,~environment(skolem0001)|greater(zero,growth_rate(efficient_producers,skolem0002)),inference(resolution,status(thm),[c43, c7])).
% 0.20/0.55 cnf(c49,plain,greater(zero,growth_rate(efficient_producers,skolem0002)),inference(resolution,status(thm),[c48, c5])).
% 0.20/0.55 cnf(c51,plain,environment(X61),inference(resolution,status(thm),[c49, c25])).
% 0.20/0.55 fof(mp_time_point_occur,axiom,(![E]:(![T]:((environment(E)&subpopulations(first_movers,efficient_producers,E,T))=>in_environment(E,T)))),input).
% 0.20/0.55 fof(c29,axiom,(![E]:(![T]:((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|in_environment(E,T)))),inference(fof_nnf,status(thm),[mp_time_point_occur])).
% 0.20/0.55 fof(c30,axiom,(![X20]:(![X21]:((~environment(X20)|~subpopulations(first_movers,efficient_producers,X20,X21))|in_environment(X20,X21)))),inference(variable_rename,status(thm),[c29])).
% 0.20/0.55 cnf(c31,axiom,~environment(X38)|~subpopulations(first_movers,efficient_producers,X38,X37)|in_environment(X38,X37),inference(split_conjunct,status(thm),[c30])).
% 0.20/0.55 cnf(c26,axiom,subpopulations(X33,X35,X34,X36)|~greater(zero,growth_rate(X33,X36)),inference(split_conjunct,status(thm),[c24])).
% 0.20/0.55 cnf(c53,plain,subpopulations(efficient_producers,X63,X62,skolem0002),inference(resolution,status(thm),[c49, c26])).
% 0.20/0.55 cnf(c56,plain,~environment(X65)|subpopulations(X64,efficient_producers,X65,skolem0002),inference(resolution,status(thm),[c53, c34])).
% 0.20/0.55 cnf(c59,plain,subpopulations(X66,efficient_producers,X67,skolem0002),inference(resolution,status(thm),[c56, c51])).
% 0.20/0.55 cnf(c61,plain,~environment(X68)|in_environment(X68,skolem0002),inference(resolution,status(thm),[c59, c31])).
% 0.20/0.55 cnf(c65,plain,in_environment(X69,skolem0002),inference(resolution,status(thm),[c61, c51])).
% 0.20/0.55 fof(a2,plain,greater(resilience(efficient_producers),resilience(first_movers)),input).
% 0.20/0.55 cnf(c12,plain,greater(resilience(efficient_producers),resilience(first_movers)),inference(split_conjunct,status(thm),[a2])).
% 0.20/0.55 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)))))))),input).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 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])).
% 0.20/0.55 cnf(c11,plain,~environment(X31)|~in_environment(X31,X32)|greater(zero,growth_rate(X30,X32))|~greater(resilience(X29),resilience(X30))|~greater(zero,growth_rate(X29,X32)),inference(split_conjunct,status(thm),[c10])).
% 0.20/0.55 cnf(c50,plain,~environment(X79)|~in_environment(X79,skolem0002)|greater(zero,growth_rate(X80,skolem0002))|~greater(resilience(efficient_producers),resilience(X80)),inference(resolution,status(thm),[c49, c11])).
% 0.20/0.55 cnf(c67,plain,~environment(X81)|~in_environment(X81,skolem0002)|greater(zero,growth_rate(first_movers,skolem0002)),inference(resolution,status(thm),[c50, c12])).
% 0.20/0.55 cnf(c68,plain,~environment(X82)|greater(zero,growth_rate(first_movers,skolem0002)),inference(resolution,status(thm),[c67, c65])).
% 0.20/0.55 cnf(c69,plain,greater(zero,growth_rate(first_movers,skolem0002)),inference(resolution,status(thm),[c68, c51])).
% 0.20/0.55 cnf(c71,plain,~greater_or_equal(growth_rate(first_movers,skolem0002),zero),inference(resolution,status(thm),[c69, c27])).
% 0.20/0.55 cnf(c80,plain,$false,inference(resolution,status(thm),[c71, c45])).
% 0.20/0.55 # SZS output end CNFRefutation
% 0.20/0.55
% 0.20/0.55 # Initial clauses : 14
% 0.20/0.55 # Processed clauses : 42
% 0.20/0.55 # Factors computed : 0
% 0.20/0.55 # Resolvents computed: 46
% 0.20/0.55 # Tautologies deleted: 0
% 0.20/0.55 # Forward subsumed : 7
% 0.20/0.55 # Backward subsumed : 16
% 0.20/0.55 # -------- CPU Time ---------
% 0.20/0.55 # User time : 0.191 s
% 0.20/0.55 # System time : 0.015 s
% 0.20/0.55 # Total time : 0.206 s
%------------------------------------------------------------------------------