TSTP Solution File: MGT044+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 22:23:29 EDT 2022

% Result   : Theorem 56.21s 56.40s
% Output   : Refutation 56.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 11:36:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 56.21/56.40  # Version:  1.3
% 56.21/56.40  # SZS status Theorem
% 56.21/56.40  # SZS output start CNFRefutation
% 56.21/56.40  fof(lemma_3,conjecture,(![X]:(![T0]:(![T]:((organization(X)&greater(age(X,T),age(X,T0)))=>greater(capability(X,T),capability(X,T0)))))),input).
% 56.21/56.40  fof(c9,negated_conjecture,(~(![X]:(![T0]:(![T]:((organization(X)&greater(age(X,T),age(X,T0)))=>greater(capability(X,T),capability(X,T0))))))),inference(assume_negation,status(cth),[lemma_3])).
% 56.21/56.40  fof(c10,negated_conjecture,(?[X]:(?[T0]:(?[T]:((organization(X)&greater(age(X,T),age(X,T0)))&~greater(capability(X,T),capability(X,T0)))))),inference(fof_nnf,status(thm),[c9])).
% 56.21/56.40  fof(c11,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((organization(X2)&greater(age(X2,X4),age(X2,X3)))&~greater(capability(X2,X4),capability(X2,X3)))))),inference(variable_rename,status(thm),[c10])).
% 56.21/56.40  fof(c12,negated_conjecture,((organization(skolem0001)&greater(age(skolem0001,skolem0003),age(skolem0001,skolem0002)))&~greater(capability(skolem0001,skolem0003),capability(skolem0001,skolem0002))),inference(skolemize,status(esa),[c11])).
% 56.21/56.40  cnf(c15,negated_conjecture,~greater(capability(skolem0001,skolem0003),capability(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c12])).
% 56.21/56.40  cnf(c13,negated_conjecture,organization(skolem0001),inference(split_conjunct,status(thm),[c12])).
% 56.21/56.40  cnf(c14,negated_conjecture,greater(age(skolem0001,skolem0003),age(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c12])).
% 56.21/56.40  fof(assumption_7,axiom,(![X]:(![T0]:(![T]:((organization(X)&greater(age(X,T),age(X,T0)))=>greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)))))),input).
% 56.21/56.40  fof(c21,axiom,(![X]:(![T0]:(![T]:((~organization(X)|~greater(age(X,T),age(X,T0)))|greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)))))),inference(fof_nnf,status(thm),[assumption_7])).
% 56.21/56.40  fof(c22,axiom,(![X8]:(![X9]:(![X10]:((~organization(X8)|~greater(age(X8,X10),age(X8,X9)))|greater(stock_of_knowledge(X8,X10),stock_of_knowledge(X8,X9)))))),inference(variable_rename,status(thm),[c21])).
% 56.21/56.40  cnf(c23,axiom,~organization(X194)|~greater(age(X194,X196),age(X194,X195))|greater(stock_of_knowledge(X194,X196),stock_of_knowledge(X194,X195)),inference(split_conjunct,status(thm),[c22])).
% 56.21/56.40  cnf(c241,plain,~organization(skolem0001)|greater(stock_of_knowledge(skolem0001,skolem0003),stock_of_knowledge(skolem0001,skolem0002)),inference(resolution,status(thm),[c23, c14])).
% 56.21/56.40  cnf(c3308,plain,greater(stock_of_knowledge(skolem0001,skolem0003),stock_of_knowledge(skolem0001,skolem0002)),inference(resolution,status(thm),[c241, c13])).
% 56.21/56.40  fof(assumption_5,axiom,(![X]:(![T0]:(![T]:(organization(X)=>((((greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))&smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)))=>greater(capability(X,T),capability(X,T0)))&((smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))&greater(internal_friction(X,T),internal_friction(X,T0)))=>smaller(capability(X,T),capability(X,T0))))&((stock_of_knowledge(X,T)=stock_of_knowledge(X,T0)&internal_friction(X,T)=internal_friction(X,T0))=>capability(X,T)=capability(X,T0))))))),input).
% 56.21/56.40  fof(c24,axiom,(![X]:(![T0]:(![T]:(~organization(X)|((((~greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))|~smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)))|greater(capability(X,T),capability(X,T0)))&((~smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))|~greater(internal_friction(X,T),internal_friction(X,T0)))|smaller(capability(X,T),capability(X,T0))))&((stock_of_knowledge(X,T)!=stock_of_knowledge(X,T0)|internal_friction(X,T)!=internal_friction(X,T0))|capability(X,T)=capability(X,T0))))))),inference(fof_nnf,status(thm),[assumption_5])).
% 56.21/56.40  fof(c25,axiom,(![X]:(~organization(X)|(((![T0]:(![T]:((~greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))|~smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)))|greater(capability(X,T),capability(X,T0)))))&(![T0]:(![T]:((~smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))|~greater(internal_friction(X,T),internal_friction(X,T0)))|smaller(capability(X,T),capability(X,T0))))))&(![T0]:(![T]:((stock_of_knowledge(X,T)!=stock_of_knowledge(X,T0)|internal_friction(X,T)!=internal_friction(X,T0))|capability(X,T)=capability(X,T0))))))),inference(shift_quantors,status(thm),[c24])).
% 56.21/56.40  fof(c27,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(~organization(X11)|((((~greater(stock_of_knowledge(X11,X13),stock_of_knowledge(X11,X12))|~smaller_or_equal(internal_friction(X11,X13),internal_friction(X11,X12)))|greater(capability(X11,X13),capability(X11,X12)))&((~smaller_or_equal(stock_of_knowledge(X11,X15),stock_of_knowledge(X11,X14))|~greater(internal_friction(X11,X15),internal_friction(X11,X14)))|smaller(capability(X11,X15),capability(X11,X14))))&((stock_of_knowledge(X11,X17)!=stock_of_knowledge(X11,X16)|internal_friction(X11,X17)!=internal_friction(X11,X16))|capability(X11,X17)=capability(X11,X16))))))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,(![X11]:(~organization(X11)|(((![X12]:(![X13]:((~greater(stock_of_knowledge(X11,X13),stock_of_knowledge(X11,X12))|~smaller_or_equal(internal_friction(X11,X13),internal_friction(X11,X12)))|greater(capability(X11,X13),capability(X11,X12)))))&(![X14]:(![X15]:((~smaller_or_equal(stock_of_knowledge(X11,X15),stock_of_knowledge(X11,X14))|~greater(internal_friction(X11,X15),internal_friction(X11,X14)))|smaller(capability(X11,X15),capability(X11,X14))))))&(![X16]:(![X17]:((stock_of_knowledge(X11,X17)!=stock_of_knowledge(X11,X16)|internal_friction(X11,X17)!=internal_friction(X11,X16))|capability(X11,X17)=capability(X11,X16))))))),inference(variable_rename,status(thm),[c25])).])).
% 56.21/56.40  fof(c28,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(((~organization(X11)|((~greater(stock_of_knowledge(X11,X13),stock_of_knowledge(X11,X12))|~smaller_or_equal(internal_friction(X11,X13),internal_friction(X11,X12)))|greater(capability(X11,X13),capability(X11,X12))))&(~organization(X11)|((~smaller_or_equal(stock_of_knowledge(X11,X15),stock_of_knowledge(X11,X14))|~greater(internal_friction(X11,X15),internal_friction(X11,X14)))|smaller(capability(X11,X15),capability(X11,X14)))))&(~organization(X11)|((stock_of_knowledge(X11,X17)!=stock_of_knowledge(X11,X16)|internal_friction(X11,X17)!=internal_friction(X11,X16))|capability(X11,X17)=capability(X11,X16))))))))))),inference(distribute,status(thm),[c27])).
% 56.21/56.40  cnf(c29,axiom,~organization(X208)|~greater(stock_of_knowledge(X208,X209),stock_of_knowledge(X208,X207))|~smaller_or_equal(internal_friction(X208,X209),internal_friction(X208,X207))|greater(capability(X208,X209),capability(X208,X207)),inference(split_conjunct,status(thm),[c28])).
% 56.21/56.40  fof(definition_smaller_or_equal,axiom,(![X]:(![Y]:(smaller_or_equal(X,Y)<=>(smaller(X,Y)|X=Y)))),input).
% 56.21/56.40  fof(c54,axiom,(![X]:(![Y]:((~smaller_or_equal(X,Y)|(smaller(X,Y)|X=Y))&((~smaller(X,Y)&X!=Y)|smaller_or_equal(X,Y))))),inference(fof_nnf,status(thm),[definition_smaller_or_equal])).
% 56.21/56.40  fof(c55,axiom,((![X]:(![Y]:(~smaller_or_equal(X,Y)|(smaller(X,Y)|X=Y))))&(![X]:(![Y]:((~smaller(X,Y)&X!=Y)|smaller_or_equal(X,Y))))),inference(shift_quantors,status(thm),[c54])).
% 56.21/56.40  fof(c57,axiom,(![X33]:(![X34]:(![X35]:(![X36]:((~smaller_or_equal(X33,X34)|(smaller(X33,X34)|X33=X34))&((~smaller(X35,X36)&X35!=X36)|smaller_or_equal(X35,X36))))))),inference(shift_quantors,status(thm),[fof(c56,axiom,((![X33]:(![X34]:(~smaller_or_equal(X33,X34)|(smaller(X33,X34)|X33=X34))))&(![X35]:(![X36]:((~smaller(X35,X36)&X35!=X36)|smaller_or_equal(X35,X36))))),inference(variable_rename,status(thm),[c55])).])).
% 56.21/56.40  fof(c58,axiom,(![X33]:(![X34]:(![X35]:(![X36]:((~smaller_or_equal(X33,X34)|(smaller(X33,X34)|X33=X34))&((~smaller(X35,X36)|smaller_or_equal(X35,X36))&(X35!=X36|smaller_or_equal(X35,X36)))))))),inference(distribute,status(thm),[c57])).
% 56.21/56.40  cnf(c61,axiom,X61!=X62|smaller_or_equal(X61,X62),inference(split_conjunct,status(thm),[c58])).
% 56.21/56.40  fof(assumption_9,axiom,(![X]:(![T0]:(![T]:(organization(X)=>internal_friction(X,T)=internal_friction(X,T0))))),input).
% 56.21/56.40  fof(c16,axiom,(![X]:(![T0]:(![T]:(~organization(X)|internal_friction(X,T)=internal_friction(X,T0))))),inference(fof_nnf,status(thm),[assumption_9])).
% 56.21/56.40  fof(c17,axiom,(![X]:(~organization(X)|(![T0]:(![T]:internal_friction(X,T)=internal_friction(X,T0))))),inference(shift_quantors,status(thm),[c16])).
% 56.21/56.40  fof(c19,axiom,(![X5]:(![X6]:(![X7]:(~organization(X5)|internal_friction(X5,X7)=internal_friction(X5,X6))))),inference(shift_quantors,status(thm),[fof(c18,axiom,(![X5]:(~organization(X5)|(![X6]:(![X7]:internal_friction(X5,X7)=internal_friction(X5,X6))))),inference(variable_rename,status(thm),[c17])).])).
% 56.21/56.40  cnf(c20,axiom,~organization(X181)|internal_friction(X181,X182)=internal_friction(X181,X183),inference(split_conjunct,status(thm),[c19])).
% 56.21/56.40  cnf(c230,plain,internal_friction(skolem0001,X319)=internal_friction(skolem0001,X320),inference(resolution,status(thm),[c20, c13])).
% 56.21/56.40  cnf(c347,plain,smaller_or_equal(internal_friction(skolem0001,X401),internal_friction(skolem0001,X402)),inference(resolution,status(thm),[c230, c61])).
% 56.21/56.40  cnf(c486,plain,~organization(skolem0001)|~greater(stock_of_knowledge(skolem0001,X3363),stock_of_knowledge(skolem0001,X3364))|greater(capability(skolem0001,X3363),capability(skolem0001,X3364)),inference(resolution,status(thm),[c347, c29])).
% 56.21/56.40  cnf(c25034,plain,~organization(skolem0001)|greater(capability(skolem0001,skolem0003),capability(skolem0001,skolem0002)),inference(resolution,status(thm),[c486, c3308])).
% 56.21/56.40  cnf(c115886,plain,greater(capability(skolem0001,skolem0003),capability(skolem0001,skolem0002)),inference(resolution,status(thm),[c25034, c13])).
% 56.21/56.40  cnf(c115957,plain,$false,inference(resolution,status(thm),[c115886, c15])).
% 56.21/56.40  # SZS output end CNFRefutation
% 56.21/56.40  
% 56.21/56.40  # Initial clauses    : 31
% 56.21/56.40  # Processed clauses  : 847
% 56.21/56.40  # Factors computed   : 479
% 56.21/56.40  # Resolvents computed: 115663
% 56.21/56.40  # Tautologies deleted: 28
% 56.21/56.40  # Forward subsumed   : 1861
% 56.21/56.40  # Backward subsumed  : 7
% 56.21/56.40  # -------- CPU Time ---------
% 56.21/56.40  # User time          : 55.761 s
% 56.21/56.40  # System time        : 0.297 s
% 56.21/56.40  # Total time         : 56.058 s
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