TSTP Solution File: PHI012+1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 : 300s
% DateTime : Thu May 9 17:37:16 EDT 2024
% Result : Theorem 0.50s 0.66s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 22:29:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.50/0.66 % Version: 1.5
% 0.50/0.66 % SZS status Theorem
% 0.50/0.66 % SZS output start CNFRefutation
% 0.50/0.66 fof(lemma_2,conjecture,((?[X]:(object(X)&exemplifies_property(none_greater,X)))=>(?[X]:((object(X)&exemplifies_property(none_greater,X))&(![Y]:(object(Y)=>(exemplifies_property(none_greater,Y)=>Y=X)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lemma_2)).
% 0.50/0.66 fof(c3,negated_conjecture,(~((?[X]:(object(X)&exemplifies_property(none_greater,X)))=>(?[X]:((object(X)&exemplifies_property(none_greater,X))&(![Y]:(object(Y)=>(exemplifies_property(none_greater,Y)=>Y=X))))))),inference(assume_negation,[status(cth)],[lemma_2])).
% 0.50/0.66 fof(c4,negated_conjecture,((?[X]:(object(X)&exemplifies_property(none_greater,X)))&(![X]:((~object(X)|~exemplifies_property(none_greater,X))|(?[Y]:(object(Y)&(exemplifies_property(none_greater,Y)&Y!=X)))))),inference(fof_nnf,[status(thm)],[c3])).
% 0.50/0.66 fof(c5,negated_conjecture,((?[X2]:(object(X2)&exemplifies_property(none_greater,X2)))&(![X3]:((~object(X3)|~exemplifies_property(none_greater,X3))|(?[X4]:(object(X4)&(exemplifies_property(none_greater,X4)&X4!=X3)))))),inference(variable_rename,[status(thm)],[c4])).
% 0.50/0.66 fof(c7,negated_conjecture,(![X3]:((object(skolem0001)&exemplifies_property(none_greater,skolem0001))&((~object(X3)|~exemplifies_property(none_greater,X3))|(object(skolem0002(X3))&(exemplifies_property(none_greater,skolem0002(X3))&skolem0002(X3)!=X3))))),inference(shift_quantors,[status(thm)],[fof(c6,negated_conjecture,((object(skolem0001)&exemplifies_property(none_greater,skolem0001))&(![X3]:((~object(X3)|~exemplifies_property(none_greater,X3))|(object(skolem0002(X3))&(exemplifies_property(none_greater,skolem0002(X3))&skolem0002(X3)!=X3))))),inference(skolemize,[status(esa)],[c5])).])).
% 0.50/0.66 fof(c8,negated_conjecture,(![X3]:((object(skolem0001)&exemplifies_property(none_greater,skolem0001))&(((~object(X3)|~exemplifies_property(none_greater,X3))|object(skolem0002(X3)))&(((~object(X3)|~exemplifies_property(none_greater,X3))|exemplifies_property(none_greater,skolem0002(X3)))&((~object(X3)|~exemplifies_property(none_greater,X3))|skolem0002(X3)!=X3))))),inference(distribute,[status(thm)],[c7])).
% 0.50/0.66 cnf(c9,negated_conjecture,object(skolem0001),inference(split_conjunct,[status(thm)],[c8])).
% 0.50/0.66 cnf(c10,negated_conjecture,exemplifies_property(none_greater,skolem0001),inference(split_conjunct,[status(thm)],[c8])).
% 0.50/0.66 cnf(c11,negated_conjecture,~object(X23)|~exemplifies_property(none_greater,X23)|object(skolem0002(X23)),inference(split_conjunct,[status(thm)],[c8])).
% 0.50/0.66 cnf(c31,plain,~object(skolem0001)|object(skolem0002(skolem0001)),inference(resolution,[status(thm)],[c11, c10])).
% 0.50/0.66 cnf(c33,plain,object(skolem0002(skolem0001)),inference(resolution,[status(thm)],[c31, c9])).
% 0.50/0.66 fof(definition_none_greater,axiom,(![X]:(object(X)=>(exemplifies_property(none_greater,X)<=>(exemplifies_property(conceivable,X)&(~(?[Y]:((object(Y)&exemplifies_relation(greater_than,Y,X))&exemplifies_property(conceivable,Y)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', definition_none_greater)).
% 0.50/0.66 fof(c17,plain,(![X]:(~object(X)|((~exemplifies_property(none_greater,X)|(exemplifies_property(conceivable,X)&(![Y]:((~object(Y)|~exemplifies_relation(greater_than,Y,X))|~exemplifies_property(conceivable,Y)))))&((~exemplifies_property(conceivable,X)|(?[Y]:((object(Y)&exemplifies_relation(greater_than,Y,X))&exemplifies_property(conceivable,Y))))|exemplifies_property(none_greater,X))))),inference(fof_nnf,[status(thm)],[definition_none_greater])).
% 0.50/0.66 fof(c18,plain,(![X7]:(~object(X7)|((~exemplifies_property(none_greater,X7)|(exemplifies_property(conceivable,X7)&(![X8]:((~object(X8)|~exemplifies_relation(greater_than,X8,X7))|~exemplifies_property(conceivable,X8)))))&((~exemplifies_property(conceivable,X7)|(?[X9]:((object(X9)&exemplifies_relation(greater_than,X9,X7))&exemplifies_property(conceivable,X9))))|exemplifies_property(none_greater,X7))))),inference(variable_rename,[status(thm)],[c17])).
% 0.50/0.66 fof(c20,plain,(![X7]:(![X8]:(~object(X7)|((~exemplifies_property(none_greater,X7)|(exemplifies_property(conceivable,X7)&((~object(X8)|~exemplifies_relation(greater_than,X8,X7))|~exemplifies_property(conceivable,X8))))&((~exemplifies_property(conceivable,X7)|((object(skolem0003(X7))&exemplifies_relation(greater_than,skolem0003(X7),X7))&exemplifies_property(conceivable,skolem0003(X7))))|exemplifies_property(none_greater,X7)))))),inference(shift_quantors,[status(thm)],[fof(c19,plain,(![X7]:(~object(X7)|((~exemplifies_property(none_greater,X7)|(exemplifies_property(conceivable,X7)&(![X8]:((~object(X8)|~exemplifies_relation(greater_than,X8,X7))|~exemplifies_property(conceivable,X8)))))&((~exemplifies_property(conceivable,X7)|((object(skolem0003(X7))&exemplifies_relation(greater_than,skolem0003(X7),X7))&exemplifies_property(conceivable,skolem0003(X7))))|exemplifies_property(none_greater,X7))))),inference(skolemize,[status(esa)],[c18])).])).
% 0.50/0.66 fof(c21,plain,(![X7]:(![X8]:(((~object(X7)|(~exemplifies_property(none_greater,X7)|exemplifies_property(conceivable,X7)))&(~object(X7)|(~exemplifies_property(none_greater,X7)|((~object(X8)|~exemplifies_relation(greater_than,X8,X7))|~exemplifies_property(conceivable,X8)))))&(((~object(X7)|((~exemplifies_property(conceivable,X7)|object(skolem0003(X7)))|exemplifies_property(none_greater,X7)))&(~object(X7)|((~exemplifies_property(conceivable,X7)|exemplifies_relation(greater_than,skolem0003(X7),X7))|exemplifies_property(none_greater,X7))))&(~object(X7)|((~exemplifies_property(conceivable,X7)|exemplifies_property(conceivable,skolem0003(X7)))|exemplifies_property(none_greater,X7))))))),inference(distribute,[status(thm)],[c20])).
% 0.50/0.66 cnf(c22,plain,~object(X28)|~exemplifies_property(none_greater,X28)|exemplifies_property(conceivable,X28),inference(split_conjunct,[status(thm)],[c21])).
% 0.50/0.66 cnf(c34,plain,~object(skolem0001)|exemplifies_property(conceivable,skolem0001),inference(resolution,[status(thm)],[c22, c10])).
% 0.50/0.66 cnf(c35,plain,exemplifies_property(conceivable,skolem0001),inference(resolution,[status(thm)],[c34, c9])).
% 0.50/0.66 cnf(c12,negated_conjecture,~object(X41)|~exemplifies_property(none_greater,X41)|exemplifies_property(none_greater,skolem0002(X41)),inference(split_conjunct,[status(thm)],[c8])).
% 0.50/0.66 cnf(c40,plain,~object(skolem0001)|exemplifies_property(none_greater,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c12, c10])).
% 0.50/0.66 cnf(c42,plain,exemplifies_property(none_greater,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c40, c9])).
% 0.50/0.66 cnf(c23,plain,~object(X47)|~exemplifies_property(none_greater,X47)|~object(X46)|~exemplifies_relation(greater_than,X46,X47)|~exemplifies_property(conceivable,X46),inference(split_conjunct,[status(thm)],[c21])).
% 0.50/0.66 cnf(c44,plain,~object(skolem0002(skolem0001))|exemplifies_property(conceivable,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c42, c22])).
% 0.50/0.66 cnf(c47,plain,exemplifies_property(conceivable,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c44, c33])).
% 0.50/0.66 cnf(c13,negated_conjecture,~object(X35)|~exemplifies_property(none_greater,X35)|skolem0002(X35)!=X35,inference(split_conjunct,[status(thm)],[c8])).
% 0.50/0.66 fof(connectedness_of_greater_than,axiom,(![X]:(![Y]:((object(X)&object(Y))=>((exemplifies_relation(greater_than,X,Y)|exemplifies_relation(greater_than,Y,X))|X=Y)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', connectedness_of_greater_than)).
% 0.50/0.66 fof(c14,plain,(![X]:(![Y]:((~object(X)|~object(Y))|((exemplifies_relation(greater_than,X,Y)|exemplifies_relation(greater_than,Y,X))|X=Y)))),inference(fof_nnf,[status(thm)],[connectedness_of_greater_than])).
% 0.50/0.66 fof(c15,plain,(![X5]:(![X6]:((~object(X5)|~object(X6))|((exemplifies_relation(greater_than,X5,X6)|exemplifies_relation(greater_than,X6,X5))|X5=X6)))),inference(variable_rename,[status(thm)],[c14])).
% 0.50/0.66 cnf(c16,plain,~object(X43)|~object(X44)|exemplifies_relation(greater_than,X43,X44)|exemplifies_relation(greater_than,X44,X43)|X43=X44,inference(split_conjunct,[status(thm)],[c15])).
% 0.50/0.66 cnf(c49,plain,~object(X63)|exemplifies_relation(greater_than,X63,skolem0001)|exemplifies_relation(greater_than,skolem0001,X63)|X63=skolem0001,inference(resolution,[status(thm)],[c16, c9])).
% 0.50/0.66 cnf(c84,plain,exemplifies_relation(greater_than,skolem0002(skolem0001),skolem0001)|exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001))|skolem0002(skolem0001)=skolem0001,inference(resolution,[status(thm)],[c49, c33])).
% 0.50/0.66 cnf(c137,plain,exemplifies_relation(greater_than,skolem0002(skolem0001),skolem0001)|exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001))|~object(skolem0001)|~exemplifies_property(none_greater,skolem0001),inference(resolution,[status(thm)],[c84, c13])).
% 0.50/0.66 cnf(c171,plain,exemplifies_relation(greater_than,skolem0002(skolem0001),skolem0001)|exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001))|~object(skolem0001),inference(resolution,[status(thm)],[c137, c10])).
% 0.50/0.66 cnf(c172,plain,exemplifies_relation(greater_than,skolem0002(skolem0001),skolem0001)|exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c171, c9])).
% 0.50/0.66 cnf(c173,plain,exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001))|~object(skolem0001)|~exemplifies_property(none_greater,skolem0001)|~object(skolem0002(skolem0001))|~exemplifies_property(conceivable,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c172, c23])).
% 0.50/0.66 cnf(c242,plain,exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001))|~object(skolem0001)|~exemplifies_property(none_greater,skolem0001)|~object(skolem0002(skolem0001)),inference(resolution,[status(thm)],[c173, c47])).
% 0.50/0.66 cnf(c243,plain,exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001))|~object(skolem0001)|~exemplifies_property(none_greater,skolem0001),inference(resolution,[status(thm)],[c242, c33])).
% 0.50/0.66 cnf(c244,plain,exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001))|~object(skolem0001),inference(resolution,[status(thm)],[c243, c10])).
% 0.50/0.66 cnf(c245,plain,exemplifies_relation(greater_than,skolem0001,skolem0002(skolem0001)),inference(resolution,[status(thm)],[c244, c9])).
% 0.50/0.66 cnf(c246,plain,~object(skolem0002(skolem0001))|~exemplifies_property(none_greater,skolem0002(skolem0001))|~object(skolem0001)|~exemplifies_property(conceivable,skolem0001),inference(resolution,[status(thm)],[c245, c23])).
% 0.50/0.66 cnf(c262,plain,~object(skolem0002(skolem0001))|~object(skolem0001)|~exemplifies_property(conceivable,skolem0001),inference(resolution,[status(thm)],[c246, c42])).
% 0.50/0.66 cnf(c273,plain,~object(skolem0002(skolem0001))|~object(skolem0001),inference(resolution,[status(thm)],[c262, c35])).
% 0.50/0.66 cnf(c274,plain,~object(skolem0001),inference(resolution,[status(thm)],[c273, c33])).
% 0.50/0.66 cnf(c275,plain,$false,inference(resolution,[status(thm)],[c274, c9])).
% 0.50/0.66 % SZS output end CNFRefutation
% 0.50/0.66
% 0.50/0.66 % Initial clauses : 17
% 0.50/0.66 % Processed clauses : 113
% 0.50/0.66 % Factors computed : 2
% 0.50/0.66 % Resolvents computed: 247
% 0.50/0.66 % Tautologies deleted: 3
% 0.50/0.66 % Forward subsumed : 43
% 0.50/0.66 % Backward subsumed : 36
% 0.50/0.66 % -------- CPU Time ---------
% 0.50/0.66 % User time : 0.303 s
% 0.50/0.66 % System time : 0.012 s
% 0.50/0.66 % Total time : 0.315 s
%------------------------------------------------------------------------------