TSTP Solution File: MGT023+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 22:23:20 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n024.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 09:39:19 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.48/0.64 # Version: 1.3
% 0.48/0.64 # SZS status Theorem
% 0.48/0.64 # SZS output start CNFRefutation
% 0.48/0.64 fof(prove_l5,conjecture,(![E]:((environment(E)&stable(E))=>in_environment(E,critical_point(E)))),input).
% 0.48/0.64 fof(c7,negated_conjecture,(~(![E]:((environment(E)&stable(E))=>in_environment(E,critical_point(E))))),inference(assume_negation,status(cth),[prove_l5])).
% 0.48/0.64 fof(c8,negated_conjecture,(?[E]:((environment(E)&stable(E))&~in_environment(E,critical_point(E)))),inference(fof_nnf,status(thm),[c7])).
% 0.48/0.64 fof(c9,negated_conjecture,(?[X2]:((environment(X2)&stable(X2))&~in_environment(X2,critical_point(X2)))),inference(variable_rename,status(thm),[c8])).
% 0.48/0.64 fof(c10,negated_conjecture,((environment(skolem0001)&stable(skolem0001))&~in_environment(skolem0001,critical_point(skolem0001))),inference(skolemize,status(esa),[c9])).
% 0.48/0.64 cnf(c13,negated_conjecture,~in_environment(skolem0001,critical_point(skolem0001)),inference(split_conjunct,status(thm),[c10])).
% 0.48/0.64 cnf(reflexivity,axiom,X9=X9,eq_axiom).
% 0.48/0.64 cnf(c11,negated_conjecture,environment(skolem0001),inference(split_conjunct,status(thm),[c10])).
% 0.48/0.64 cnf(c12,negated_conjecture,stable(skolem0001),inference(split_conjunct,status(thm),[c10])).
% 0.48/0.64 fof(l12,plain,(![E]:((environment(E)&stable(E))=>(?[To]:((in_environment(E,To)&(~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))))&(![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))=>greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),input).
% 0.48/0.64 fof(c14,plain,(![E]:((environment(E)&stable(E))=>(?[To]:((in_environment(E,To)&~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))&(![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))=>greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),inference(fof_simplification,status(thm),[l12])).
% 0.48/0.64 fof(c15,plain,(![E]:((~environment(E)|~stable(E))|(?[To]:((in_environment(E,To)&~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))&(![T]:((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),inference(fof_nnf,status(thm),[c14])).
% 0.48/0.64 fof(c16,plain,(![X3]:((~environment(X3)|~stable(X3))|(?[X4]:((in_environment(X3,X4)&~greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)))&(![X5]:((~subpopulations(first_movers,efficient_producers,X3,X5)|~greater(X5,X4))|greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5)))))))),inference(variable_rename,status(thm),[c15])).
% 0.48/0.64 fof(c18,plain,(![X3]:(![X5]:((~environment(X3)|~stable(X3))|((in_environment(X3,skolem0002(X3))&~greater(growth_rate(efficient_producers,skolem0002(X3)),growth_rate(first_movers,skolem0002(X3))))&((~subpopulations(first_movers,efficient_producers,X3,X5)|~greater(X5,skolem0002(X3)))|greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))))))),inference(shift_quantors,status(thm),[fof(c17,plain,(![X3]:((~environment(X3)|~stable(X3))|((in_environment(X3,skolem0002(X3))&~greater(growth_rate(efficient_producers,skolem0002(X3)),growth_rate(first_movers,skolem0002(X3))))&(![X5]:((~subpopulations(first_movers,efficient_producers,X3,X5)|~greater(X5,skolem0002(X3)))|greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))))))),inference(skolemize,status(esa),[c16])).])).
% 0.48/0.64 fof(c19,plain,(![X3]:(![X5]:((((~environment(X3)|~stable(X3))|in_environment(X3,skolem0002(X3)))&((~environment(X3)|~stable(X3))|~greater(growth_rate(efficient_producers,skolem0002(X3)),growth_rate(first_movers,skolem0002(X3)))))&((~environment(X3)|~stable(X3))|((~subpopulations(first_movers,efficient_producers,X3,X5)|~greater(X5,skolem0002(X3)))|greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))))))),inference(distribute,status(thm),[c18])).
% 0.48/0.64 cnf(c20,plain,~environment(X31)|~stable(X31)|in_environment(X31,skolem0002(X31)),inference(split_conjunct,status(thm),[c19])).
% 0.48/0.64 cnf(c37,plain,~environment(skolem0001)|in_environment(skolem0001,skolem0002(skolem0001)),inference(resolution,status(thm),[c20, c12])).
% 0.48/0.64 cnf(c38,plain,in_environment(skolem0001,skolem0002(skolem0001)),inference(resolution,status(thm),[c37, c11])).
% 0.48/0.64 cnf(c4,plain,X43!=X41|X42!=X44|~in_environment(X43,X42)|in_environment(X41,X44),eq_axiom).
% 0.48/0.64 cnf(c40,plain,skolem0001!=X46|skolem0002(skolem0001)!=X45|in_environment(X46,X45),inference(resolution,status(thm),[c4, c38])).
% 0.48/0.64 cnf(c21,plain,~environment(X56)|~stable(X56)|~greater(growth_rate(efficient_producers,skolem0002(X56)),growth_rate(first_movers,skolem0002(X56))),inference(split_conjunct,status(thm),[c19])).
% 0.48/0.64 fof(d1,plain,(![E]:(![To]:((((environment(E)&(~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))))&in_environment(E,To))&(![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))=>greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))=>To=critical_point(E)))),input).
% 0.48/0.64 fof(c23,plain,(![E]:(![To]:((((environment(E)&~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))&in_environment(E,To))&(![T]:((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))=>greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))=>To=critical_point(E)))),inference(fof_simplification,status(thm),[d1])).
% 0.48/0.64 fof(c24,plain,(![E]:(![To]:((((~environment(E)|greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))|~in_environment(E,To))|(?[T]:((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))|To=critical_point(E)))),inference(fof_nnf,status(thm),[c23])).
% 0.48/0.64 fof(c25,plain,(![X6]:(![X7]:((((~environment(X6)|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)))|~in_environment(X6,X7))|(?[X8]:((subpopulations(first_movers,efficient_producers,X6,X8)&greater(X8,X7))&~greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)))))|X7=critical_point(X6)))),inference(variable_rename,status(thm),[c24])).
% 0.48/0.64 fof(c26,plain,(![X6]:(![X7]:((((~environment(X6)|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)))|~in_environment(X6,X7))|((subpopulations(first_movers,efficient_producers,X6,skolem0003(X6,X7))&greater(skolem0003(X6,X7),X7))&~greater(growth_rate(efficient_producers,skolem0003(X6,X7)),growth_rate(first_movers,skolem0003(X6,X7)))))|X7=critical_point(X6)))),inference(skolemize,status(esa),[c25])).
% 0.48/0.64 fof(c27,plain,(![X6]:(![X7]:((((((~environment(X6)|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)))|~in_environment(X6,X7))|subpopulations(first_movers,efficient_producers,X6,skolem0003(X6,X7)))|X7=critical_point(X6))&((((~environment(X6)|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)))|~in_environment(X6,X7))|greater(skolem0003(X6,X7),X7))|X7=critical_point(X6)))&((((~environment(X6)|greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)))|~in_environment(X6,X7))|~greater(growth_rate(efficient_producers,skolem0003(X6,X7)),growth_rate(first_movers,skolem0003(X6,X7))))|X7=critical_point(X6))))),inference(distribute,status(thm),[c26])).
% 0.48/0.64 cnf(c30,plain,~environment(X64)|greater(growth_rate(efficient_producers,X63),growth_rate(first_movers,X63))|~in_environment(X64,X63)|~greater(growth_rate(efficient_producers,skolem0003(X64,X63)),growth_rate(first_movers,skolem0003(X64,X63)))|X63=critical_point(X64),inference(split_conjunct,status(thm),[c27])).
% 0.48/0.64 cnf(c29,plain,~environment(X60)|greater(growth_rate(efficient_producers,X59),growth_rate(first_movers,X59))|~in_environment(X60,X59)|greater(skolem0003(X60,X59),X59)|X59=critical_point(X60),inference(split_conjunct,status(thm),[c27])).
% 0.48/0.64 cnf(c43,plain,~environment(skolem0001)|greater(growth_rate(efficient_producers,skolem0002(skolem0001)),growth_rate(first_movers,skolem0002(skolem0001)))|greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c29, c38])).
% 0.48/0.64 cnf(c45,plain,greater(growth_rate(efficient_producers,skolem0002(skolem0001)),growth_rate(first_movers,skolem0002(skolem0001)))|greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c43, c11])).
% 0.48/0.65 cnf(c46,plain,greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|skolem0002(skolem0001)=critical_point(skolem0001)|~environment(skolem0001)|~stable(skolem0001),inference(resolution,status(thm),[c45, c21])).
% 0.48/0.65 cnf(c57,plain,greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|skolem0002(skolem0001)=critical_point(skolem0001)|~environment(skolem0001),inference(resolution,status(thm),[c46, c12])).
% 0.48/0.65 cnf(c58,plain,greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c57, c11])).
% 0.48/0.65 cnf(c68,plain,greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|skolem0001!=X67|in_environment(X67,critical_point(skolem0001)),inference(resolution,status(thm),[c58, c40])).
% 0.48/0.65 cnf(c77,plain,greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|in_environment(skolem0001,critical_point(skolem0001)),inference(resolution,status(thm),[c68, reflexivity])).
% 0.48/0.65 cnf(c81,plain,greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001)),inference(resolution,status(thm),[c77, c13])).
% 0.48/0.65 cnf(c22,plain,~environment(X58)|~stable(X58)|~subpopulations(first_movers,efficient_producers,X58,X57)|~greater(X57,skolem0002(X58))|greater(growth_rate(efficient_producers,X57),growth_rate(first_movers,X57)),inference(split_conjunct,status(thm),[c19])).
% 0.48/0.65 cnf(c28,plain,~environment(X62)|greater(growth_rate(efficient_producers,X61),growth_rate(first_movers,X61))|~in_environment(X62,X61)|subpopulations(first_movers,efficient_producers,X62,skolem0003(X62,X61))|X61=critical_point(X62),inference(split_conjunct,status(thm),[c27])).
% 0.48/0.65 cnf(c44,plain,~environment(skolem0001)|greater(growth_rate(efficient_producers,skolem0002(skolem0001)),growth_rate(first_movers,skolem0002(skolem0001)))|subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001)))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c28, c38])).
% 0.48/0.65 cnf(c59,plain,greater(growth_rate(efficient_producers,skolem0002(skolem0001)),growth_rate(first_movers,skolem0002(skolem0001)))|subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001)))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c44, c11])).
% 0.48/0.65 cnf(c86,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001)))|skolem0002(skolem0001)=critical_point(skolem0001)|~environment(skolem0001)|~stable(skolem0001),inference(resolution,status(thm),[c59, c21])).
% 0.48/0.65 cnf(c99,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001)))|skolem0002(skolem0001)=critical_point(skolem0001)|~environment(skolem0001),inference(resolution,status(thm),[c86, c12])).
% 0.48/0.65 cnf(c100,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001)))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c99, c11])).
% 0.48/0.65 cnf(c111,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001)))|skolem0001!=X94|in_environment(X94,critical_point(skolem0001)),inference(resolution,status(thm),[c100, c40])).
% 0.48/0.65 cnf(c121,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001)))|in_environment(skolem0001,critical_point(skolem0001)),inference(resolution,status(thm),[c111, reflexivity])).
% 0.48/0.65 cnf(c126,plain,subpopulations(first_movers,efficient_producers,skolem0001,skolem0003(skolem0001,skolem0002(skolem0001))),inference(resolution,status(thm),[c121, c13])).
% 0.48/0.65 cnf(c129,plain,~environment(skolem0001)|~stable(skolem0001)|~greater(skolem0003(skolem0001,skolem0002(skolem0001)),skolem0002(skolem0001))|greater(growth_rate(efficient_producers,skolem0003(skolem0001,skolem0002(skolem0001))),growth_rate(first_movers,skolem0003(skolem0001,skolem0002(skolem0001)))),inference(resolution,status(thm),[c126, c22])).
% 0.48/0.65 cnf(c135,plain,~environment(skolem0001)|~stable(skolem0001)|greater(growth_rate(efficient_producers,skolem0003(skolem0001,skolem0002(skolem0001))),growth_rate(first_movers,skolem0003(skolem0001,skolem0002(skolem0001)))),inference(resolution,status(thm),[c129, c81])).
% 0.48/0.65 cnf(c136,plain,~environment(skolem0001)|greater(growth_rate(efficient_producers,skolem0003(skolem0001,skolem0002(skolem0001))),growth_rate(first_movers,skolem0003(skolem0001,skolem0002(skolem0001)))),inference(resolution,status(thm),[c135, c12])).
% 0.48/0.65 cnf(c137,plain,greater(growth_rate(efficient_producers,skolem0003(skolem0001,skolem0002(skolem0001))),growth_rate(first_movers,skolem0003(skolem0001,skolem0002(skolem0001)))),inference(resolution,status(thm),[c136, c11])).
% 0.48/0.65 cnf(c138,plain,~environment(skolem0001)|greater(growth_rate(efficient_producers,skolem0002(skolem0001)),growth_rate(first_movers,skolem0002(skolem0001)))|~in_environment(skolem0001,skolem0002(skolem0001))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c137, c30])).
% 0.48/0.65 cnf(c142,plain,~environment(skolem0001)|greater(growth_rate(efficient_producers,skolem0002(skolem0001)),growth_rate(first_movers,skolem0002(skolem0001)))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c138, c38])).
% 0.48/0.65 cnf(c143,plain,greater(growth_rate(efficient_producers,skolem0002(skolem0001)),growth_rate(first_movers,skolem0002(skolem0001)))|skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c142, c11])).
% 0.48/0.65 cnf(c144,plain,skolem0002(skolem0001)=critical_point(skolem0001)|~environment(skolem0001)|~stable(skolem0001),inference(resolution,status(thm),[c143, c21])).
% 0.48/0.65 cnf(c155,plain,skolem0002(skolem0001)=critical_point(skolem0001)|~environment(skolem0001),inference(resolution,status(thm),[c144, c12])).
% 0.48/0.65 cnf(c156,plain,skolem0002(skolem0001)=critical_point(skolem0001),inference(resolution,status(thm),[c155, c11])).
% 0.48/0.65 cnf(c165,plain,skolem0001!=X141|in_environment(X141,critical_point(skolem0001)),inference(resolution,status(thm),[c156, c40])).
% 0.48/0.65 cnf(c173,plain,in_environment(skolem0001,critical_point(skolem0001)),inference(resolution,status(thm),[c165, reflexivity])).
% 0.48/0.65 cnf(c176,plain,$false,inference(resolution,status(thm),[c173, c13])).
% 0.48/0.65 # SZS output end CNFRefutation
% 0.48/0.65
% 0.48/0.65 # Initial clauses : 19
% 0.48/0.65 # Processed clauses : 70
% 0.48/0.65 # Factors computed : 0
% 0.48/0.65 # Resolvents computed: 147
% 0.48/0.65 # Tautologies deleted: 3
% 0.48/0.65 # Forward subsumed : 65
% 0.48/0.65 # Backward subsumed : 30
% 0.48/0.65 # -------- CPU Time ---------
% 0.48/0.65 # User time : 0.287 s
% 0.48/0.65 # System time : 0.013 s
% 0.48/0.65 # Total time : 0.300 s
%------------------------------------------------------------------------------