TSTP Solution File: MGT057+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:23:32 EDT 2022
% Result : Theorem 63.24s 63.43s
% Output : Refutation 63.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n020.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
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 600
% 0.19/0.33 % DateTime : Thu Jun 9 12:16:51 EDT 2022
% 0.19/0.33 % CPUTime :
% 63.24/63.43 # Version: 1.3
% 63.24/63.43 # SZS status Theorem
% 63.24/63.43 # SZS output start CNFRefutation
% 63.24/63.43 fof(definition_smaller,axiom,(![X]:(![Y]:(smaller(X,Y)<=>greater(Y,X)))),input).
% 63.24/63.43 fof(c49,axiom,(![X]:(![Y]:((~smaller(X,Y)|greater(Y,X))&(~greater(Y,X)|smaller(X,Y))))),inference(fof_nnf,status(thm),[definition_smaller])).
% 63.24/63.43 fof(c50,axiom,((![X]:(![Y]:(~smaller(X,Y)|greater(Y,X))))&(![X]:(![Y]:(~greater(Y,X)|smaller(X,Y))))),inference(shift_quantors,status(thm),[c49])).
% 63.24/63.43 fof(c52,axiom,(![X25]:(![X26]:(![X27]:(![X28]:((~smaller(X25,X26)|greater(X26,X25))&(~greater(X28,X27)|smaller(X27,X28))))))),inference(shift_quantors,status(thm),[fof(c51,axiom,((![X25]:(![X26]:(~smaller(X25,X26)|greater(X26,X25))))&(![X27]:(![X28]:(~greater(X28,X27)|smaller(X27,X28))))),inference(variable_rename,status(thm),[c50])).])).
% 63.24/63.43 cnf(c53,axiom,~smaller(X44,X45)|greater(X45,X44),inference(split_conjunct,status(thm),[c52])).
% 63.24/63.43 fof(theorem_6,conjecture,(![X]:(![T0]:(![T1]:(![T2]:((((((organization(X)&has_endowment(X))&age(X,T0)=zero)&smaller_or_equal(age(X,T1),eta))&greater(age(X,T2),eta))&greater(eta,zero))=>(greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))&hazard_of_mortality(X,T1)=hazard_of_mortality(X,T0))))))),input).
% 63.24/63.43 fof(c9,negated_conjecture,(~(![X]:(![T0]:(![T1]:(![T2]:((((((organization(X)&has_endowment(X))&age(X,T0)=zero)&smaller_or_equal(age(X,T1),eta))&greater(age(X,T2),eta))&greater(eta,zero))=>(greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))&hazard_of_mortality(X,T1)=hazard_of_mortality(X,T0)))))))),inference(assume_negation,status(cth),[theorem_6])).
% 63.24/63.43 fof(c10,negated_conjecture,(?[X]:(?[T0]:(?[T1]:(?[T2]:((((((organization(X)&has_endowment(X))&age(X,T0)=zero)&smaller_or_equal(age(X,T1),eta))&greater(age(X,T2),eta))&greater(eta,zero))&(~greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))|hazard_of_mortality(X,T1)!=hazard_of_mortality(X,T0))))))),inference(fof_nnf,status(thm),[c9])).
% 63.24/63.43 fof(c11,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((((((organization(X2)&has_endowment(X2))&age(X2,X3)=zero)&smaller_or_equal(age(X2,X4),eta))&greater(age(X2,X5),eta))&greater(eta,zero))&(~greater(hazard_of_mortality(X2,X5),hazard_of_mortality(X2,X4))|hazard_of_mortality(X2,X4)!=hazard_of_mortality(X2,X3))))))),inference(variable_rename,status(thm),[c10])).
% 63.24/63.43 fof(c12,negated_conjecture,((((((organization(skolem0001)&has_endowment(skolem0001))&age(skolem0001,skolem0002)=zero)&smaller_or_equal(age(skolem0001,skolem0003),eta))&greater(age(skolem0001,skolem0004),eta))&greater(eta,zero))&(~greater(hazard_of_mortality(skolem0001,skolem0004),hazard_of_mortality(skolem0001,skolem0003))|hazard_of_mortality(skolem0001,skolem0003)!=hazard_of_mortality(skolem0001,skolem0002))),inference(skolemize,status(esa),[c11])).
% 63.24/63.43 cnf(c14,negated_conjecture,has_endowment(skolem0001),inference(split_conjunct,status(thm),[c12])).
% 63.24/63.43 cnf(c17,negated_conjecture,greater(age(skolem0001,skolem0004),eta),inference(split_conjunct,status(thm),[c12])).
% 63.24/63.43 fof(definition_1,axiom,(![X]:(has_endowment(X)<=>(![T]:((organization(X)&(smaller_or_equal(age(X,T),eta)=>has_immunity(X,T)))&(greater(age(X,T),eta)=>(~has_immunity(X,T))))))),input).
% 63.24/63.43 fof(c27,axiom,(![X]:(has_endowment(X)<=>(![T]:((organization(X)&(smaller_or_equal(age(X,T),eta)=>has_immunity(X,T)))&(greater(age(X,T),eta)=>~has_immunity(X,T)))))),inference(fof_simplification,status(thm),[definition_1])).
% 63.24/63.43 fof(c28,axiom,(![X]:((~has_endowment(X)|(![T]:((organization(X)&(~smaller_or_equal(age(X,T),eta)|has_immunity(X,T)))&(~greater(age(X,T),eta)|~has_immunity(X,T)))))&((?[T]:((~organization(X)|(smaller_or_equal(age(X,T),eta)&~has_immunity(X,T)))|(greater(age(X,T),eta)&has_immunity(X,T))))|has_endowment(X)))),inference(fof_nnf,status(thm),[c27])).
% 63.24/63.43 fof(c29,axiom,((![X]:(~has_endowment(X)|((organization(X)&(![T]:(~smaller_or_equal(age(X,T),eta)|has_immunity(X,T))))&(![T]:(~greater(age(X,T),eta)|~has_immunity(X,T))))))&(![X]:(((~organization(X)|(?[T]:(smaller_or_equal(age(X,T),eta)&~has_immunity(X,T))))|(?[T]:(greater(age(X,T),eta)&has_immunity(X,T))))|has_endowment(X)))),inference(shift_quantors,status(thm),[c28])).
% 63.24/63.43 fof(c30,axiom,((![X12]:(~has_endowment(X12)|((organization(X12)&(![X13]:(~smaller_or_equal(age(X12,X13),eta)|has_immunity(X12,X13))))&(![X14]:(~greater(age(X12,X14),eta)|~has_immunity(X12,X14))))))&(![X15]:(((~organization(X15)|(?[X16]:(smaller_or_equal(age(X15,X16),eta)&~has_immunity(X15,X16))))|(?[X17]:(greater(age(X15,X17),eta)&has_immunity(X15,X17))))|has_endowment(X15)))),inference(variable_rename,status(thm),[c29])).
% 63.24/63.43 fof(c32,axiom,(![X12]:(![X13]:(![X14]:(![X15]:((~has_endowment(X12)|((organization(X12)&(~smaller_or_equal(age(X12,X13),eta)|has_immunity(X12,X13)))&(~greater(age(X12,X14),eta)|~has_immunity(X12,X14))))&(((~organization(X15)|(smaller_or_equal(age(X15,skolem0005(X15)),eta)&~has_immunity(X15,skolem0005(X15))))|(greater(age(X15,skolem0006(X15)),eta)&has_immunity(X15,skolem0006(X15))))|has_endowment(X15))))))),inference(shift_quantors,status(thm),[fof(c31,axiom,((![X12]:(~has_endowment(X12)|((organization(X12)&(![X13]:(~smaller_or_equal(age(X12,X13),eta)|has_immunity(X12,X13))))&(![X14]:(~greater(age(X12,X14),eta)|~has_immunity(X12,X14))))))&(![X15]:(((~organization(X15)|(smaller_or_equal(age(X15,skolem0005(X15)),eta)&~has_immunity(X15,skolem0005(X15))))|(greater(age(X15,skolem0006(X15)),eta)&has_immunity(X15,skolem0006(X15))))|has_endowment(X15)))),inference(skolemize,status(esa),[c30])).])).
% 63.24/63.43 fof(c33,axiom,(![X12]:(![X13]:(![X14]:(![X15]:((((~has_endowment(X12)|organization(X12))&(~has_endowment(X12)|(~smaller_or_equal(age(X12,X13),eta)|has_immunity(X12,X13))))&(~has_endowment(X12)|(~greater(age(X12,X14),eta)|~has_immunity(X12,X14))))&(((((~organization(X15)|smaller_or_equal(age(X15,skolem0005(X15)),eta))|greater(age(X15,skolem0006(X15)),eta))|has_endowment(X15))&(((~organization(X15)|smaller_or_equal(age(X15,skolem0005(X15)),eta))|has_immunity(X15,skolem0006(X15)))|has_endowment(X15)))&((((~organization(X15)|~has_immunity(X15,skolem0005(X15)))|greater(age(X15,skolem0006(X15)),eta))|has_endowment(X15))&(((~organization(X15)|~has_immunity(X15,skolem0005(X15)))|has_immunity(X15,skolem0006(X15)))|has_endowment(X15))))))))),inference(distribute,status(thm),[c32])).
% 63.24/63.43 cnf(c36,axiom,~has_endowment(X131)|~greater(age(X131,X132),eta)|~has_immunity(X131,X132),inference(split_conjunct,status(thm),[c33])).
% 63.24/63.43 cnf(c215,plain,~has_endowment(skolem0001)|~has_immunity(skolem0001,skolem0004),inference(resolution,status(thm),[c36, c17])).
% 63.24/63.43 cnf(c19,negated_conjecture,~greater(hazard_of_mortality(skolem0001,skolem0004),hazard_of_mortality(skolem0001,skolem0003))|hazard_of_mortality(skolem0001,skolem0003)!=hazard_of_mortality(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c12])).
% 63.24/63.43 cnf(symmetry,axiom,X40!=X39|X39=X40,eq_axiom).
% 63.24/63.43 cnf(c13,negated_conjecture,organization(skolem0001),inference(split_conjunct,status(thm),[c12])).
% 63.24/63.43 cnf(c35,axiom,~has_endowment(X127)|~smaller_or_equal(age(X127,X128),eta)|has_immunity(X127,X128),inference(split_conjunct,status(thm),[c33])).
% 63.24/63.43 cnf(c15,negated_conjecture,age(skolem0001,skolem0002)=zero,inference(split_conjunct,status(thm),[c12])).
% 63.24/63.43 cnf(c87,plain,zero=age(skolem0001,skolem0002),inference(resolution,status(thm),[c15, symmetry])).
% 63.24/63.43 cnf(reflexivity,axiom,X37=X37,eq_axiom).
% 63.24/63.43 cnf(c18,negated_conjecture,greater(eta,zero),inference(split_conjunct,status(thm),[c12])).
% 63.24/63.43 cnf(c54,axiom,~greater(X49,X50)|smaller(X50,X49),inference(split_conjunct,status(thm),[c52])).
% 63.24/63.43 cnf(c75,plain,smaller(zero,eta),inference(resolution,status(thm),[c54, c18])).
% 63.24/63.43 fof(definition_smaller_or_equal,axiom,(![X]:(![Y]:(smaller_or_equal(X,Y)<=>(smaller(X,Y)|X=Y)))),input).
% 63.24/63.43 fof(c63,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])).
% 63.24/63.43 fof(c64,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),[c63])).
% 63.24/63.43 fof(c66,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(c65,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),[c64])).])).
% 63.24/63.43 fof(c67,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),[c66])).
% 63.24/63.43 cnf(c69,axiom,~smaller(X60,X61)|smaller_or_equal(X60,X61),inference(split_conjunct,status(thm),[c67])).
% 63.24/63.43 cnf(c80,plain,smaller_or_equal(zero,eta),inference(resolution,status(thm),[c69, c75])).
% 63.24/63.43 cnf(c2,plain,X76!=X77|X79!=X78|~smaller_or_equal(X76,X79)|smaller_or_equal(X77,X78),eq_axiom).
% 63.24/63.43 cnf(c86,plain,zero!=X185|eta!=X184|smaller_or_equal(X185,X184),inference(resolution,status(thm),[c2, c80])).
% 63.24/63.43 cnf(c404,plain,zero!=X198|smaller_or_equal(X198,eta),inference(resolution,status(thm),[c86, reflexivity])).
% 63.24/63.43 cnf(c421,plain,smaller_or_equal(age(skolem0001,skolem0002),eta),inference(resolution,status(thm),[c404, c87])).
% 63.24/63.43 cnf(c460,plain,~has_endowment(skolem0001)|has_immunity(skolem0001,skolem0002),inference(resolution,status(thm),[c421, c35])).
% 63.24/63.43 cnf(c465,plain,has_immunity(skolem0001,skolem0002),inference(resolution,status(thm),[c460, c14])).
% 63.24/63.43 fof(assumption_2,axiom,(![X]:(![T0]:(![T]:(((organization(X)&has_immunity(X,T0))&has_immunity(X,T))=>hazard_of_mortality(X,T0)=hazard_of_mortality(X,T))))),input).
% 63.24/63.43 fof(c24,axiom,(![X]:(![T0]:(![T]:(((~organization(X)|~has_immunity(X,T0))|~has_immunity(X,T))|hazard_of_mortality(X,T0)=hazard_of_mortality(X,T))))),inference(fof_nnf,status(thm),[assumption_2])).
% 63.24/63.43 fof(c25,axiom,(![X9]:(![X10]:(![X11]:(((~organization(X9)|~has_immunity(X9,X10))|~has_immunity(X9,X11))|hazard_of_mortality(X9,X10)=hazard_of_mortality(X9,X11))))),inference(variable_rename,status(thm),[c24])).
% 63.24/63.43 cnf(c26,axiom,~organization(X120)|~has_immunity(X120,X119)|~has_immunity(X120,X118)|hazard_of_mortality(X120,X119)=hazard_of_mortality(X120,X118),inference(split_conjunct,status(thm),[c25])).
% 63.24/63.43 cnf(c16,negated_conjecture,smaller_or_equal(age(skolem0001,skolem0003),eta),inference(split_conjunct,status(thm),[c12])).
% 63.24/63.43 cnf(c184,plain,~has_endowment(skolem0001)|has_immunity(skolem0001,skolem0003),inference(resolution,status(thm),[c35, c16])).
% 63.24/63.43 cnf(c185,plain,has_immunity(skolem0001,skolem0003),inference(resolution,status(thm),[c184, c14])).
% 63.24/63.43 cnf(c186,plain,~organization(skolem0001)|~has_immunity(skolem0001,X621)|hazard_of_mortality(skolem0001,X621)=hazard_of_mortality(skolem0001,skolem0003),inference(resolution,status(thm),[c185, c26])).
% 63.24/63.43 cnf(c1365,plain,~organization(skolem0001)|hazard_of_mortality(skolem0001,skolem0002)=hazard_of_mortality(skolem0001,skolem0003),inference(resolution,status(thm),[c186, c465])).
% 63.24/63.43 cnf(c91240,plain,hazard_of_mortality(skolem0001,skolem0002)=hazard_of_mortality(skolem0001,skolem0003),inference(resolution,status(thm),[c1365, c13])).
% 63.24/63.43 cnf(c91384,plain,hazard_of_mortality(skolem0001,skolem0003)=hazard_of_mortality(skolem0001,skolem0002),inference(resolution,status(thm),[c91240, symmetry])).
% 63.24/63.43 cnf(c91473,plain,~greater(hazard_of_mortality(skolem0001,skolem0004),hazard_of_mortality(skolem0001,skolem0003)),inference(resolution,status(thm),[c91384, c19])).
% 63.24/63.43 cnf(c7,plain,X74!=X75|~organization(X74)|organization(X75),eq_axiom).
% 63.24/63.43 fof(meaning_postulate_greater_comparable,axiom,(![X]:(![Y]:((smaller(X,Y)|X=Y)|greater(X,Y)))),input).
% 63.24/63.43 fof(c41,axiom,(![X18]:(![X19]:((smaller(X18,X19)|X18=X19)|greater(X18,X19)))),inference(variable_rename,status(thm),[meaning_postulate_greater_comparable])).
% 63.24/63.43 cnf(c42,axiom,smaller(X93,X94)|X93=X94|greater(X93,X94),inference(split_conjunct,status(thm),[c41])).
% 63.24/63.43 cnf(c130,plain,smaller(X371,X370)|greater(X371,X370)|~organization(X371)|organization(X370),inference(resolution,status(thm),[c42, c7])).
% 63.24/63.43 cnf(c669,plain,smaller(skolem0001,X567)|greater(skolem0001,X567)|organization(X567),inference(resolution,status(thm),[c130, c13])).
% 63.24/63.43 cnf(c1168,plain,smaller(skolem0001,X580)|organization(X580)|smaller(X580,skolem0001),inference(resolution,status(thm),[c669, c54])).
% 63.24/63.43 fof(assumption_3,axiom,(![X]:(![T0]:(![T]:(((organization(X)&has_immunity(X,T0))&(~has_immunity(X,T)))=>greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))))),input).
% 63.24/63.43 fof(c20,axiom,(![X]:(![T0]:(![T]:(((organization(X)&has_immunity(X,T0))&~has_immunity(X,T))=>greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))))),inference(fof_simplification,status(thm),[assumption_3])).
% 63.24/63.43 fof(c21,axiom,(![X]:(![T0]:(![T]:(((~organization(X)|~has_immunity(X,T0))|has_immunity(X,T))|greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))))),inference(fof_nnf,status(thm),[c20])).
% 63.24/63.43 fof(c22,axiom,(![X6]:(![X7]:(![X8]:(((~organization(X6)|~has_immunity(X6,X7))|has_immunity(X6,X8))|greater(hazard_of_mortality(X6,X8),hazard_of_mortality(X6,X7)))))),inference(variable_rename,status(thm),[c21])).
% 63.24/63.43 cnf(c23,axiom,~organization(X114)|~has_immunity(X114,X115)|has_immunity(X114,X116)|greater(hazard_of_mortality(X114,X116),hazard_of_mortality(X114,X115)),inference(split_conjunct,status(thm),[c22])).
% 63.24/63.43 cnf(c188,plain,~organization(skolem0001)|has_immunity(skolem0001,X633)|greater(hazard_of_mortality(skolem0001,X633),hazard_of_mortality(skolem0001,skolem0003)),inference(resolution,status(thm),[c185, c23])).
% 63.24/63.43 cnf(c1379,plain,has_immunity(skolem0001,X6675)|greater(hazard_of_mortality(skolem0001,X6675),hazard_of_mortality(skolem0001,skolem0003))|smaller(skolem0001,skolem0001),inference(resolution,status(thm),[c188, c1168])).
% 63.24/63.43 cnf(c92675,plain,has_immunity(skolem0001,skolem0004)|smaller(skolem0001,skolem0001),inference(resolution,status(thm),[c1379, c91473])).
% 63.24/63.43 cnf(c92731,plain,smaller(skolem0001,skolem0001)|~has_endowment(skolem0001),inference(resolution,status(thm),[c92675, c215])).
% 63.24/63.43 cnf(c92738,plain,smaller(skolem0001,skolem0001),inference(resolution,status(thm),[c92731, c14])).
% 63.24/63.43 cnf(c92760,plain,greater(skolem0001,skolem0001),inference(resolution,status(thm),[c92738, c53])).
% 63.24/63.43 fof(meaning_postulate_greater_strict,axiom,(![X]:(![Y]:(~(greater(X,Y)&greater(Y,X))))),input).
% 63.24/63.43 fof(c46,axiom,(![X]:(![Y]:(~greater(X,Y)|~greater(Y,X)))),inference(fof_nnf,status(thm),[meaning_postulate_greater_strict])).
% 63.24/63.43 fof(c47,axiom,(![X23]:(![X24]:(~greater(X23,X24)|~greater(X24,X23)))),inference(variable_rename,status(thm),[c46])).
% 63.24/63.43 cnf(c48,axiom,~greater(X43,X42)|~greater(X42,X43),inference(split_conjunct,status(thm),[c47])).
% 63.24/63.43 cnf(c92832,plain,~greater(skolem0001,skolem0001),inference(resolution,status(thm),[c92760, c48])).
% 63.24/63.43 cnf(c92865,plain,$false,inference(resolution,status(thm),[c92832, c92760])).
% 63.24/63.43 # SZS output end CNFRefutation
% 63.24/63.43
% 63.24/63.43 # Initial clauses : 39
% 63.24/63.43 # Processed clauses : 1085
% 63.24/63.43 # Factors computed : 273
% 63.24/63.43 # Resolvents computed: 92743
% 63.24/63.43 # Tautologies deleted: 28
% 63.24/63.43 # Forward subsumed : 3210
% 63.24/63.43 # Backward subsumed : 39
% 63.24/63.43 # -------- CPU Time ---------
% 63.24/63.43 # User time : 62.872 s
% 63.24/63.43 # System time : 0.216 s
% 63.24/63.43 # Total time : 63.088 s
%------------------------------------------------------------------------------