TSTP Solution File: SET804+4 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : 600s
% DateTime : Tue Jul 19 04:40:17 EDT 2022
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.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 : Sun Jul 10 13:15:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.73 # Version: 1.3
% 0.56/0.73 # SZS status Theorem
% 0.56/0.73 # SZS output start CNFRefutation
% 0.56/0.73 fof(thIV16,conjecture,(![R]:(![E]:(order(R,E)=>(![M1]:(![M2]:(((min(M1,R,E)&min(M2,R,E))&M1!=M2)=>(~(?[M]:least(M,R,E))))))))),input).
% 0.56/0.73 fof(c12,negated_conjecture,(~(![R]:(![E]:(order(R,E)=>(![M1]:(![M2]:(((min(M1,R,E)&min(M2,R,E))&M1!=M2)=>(~(?[M]:least(M,R,E)))))))))),inference(assume_negation,status(cth),[thIV16])).
% 0.56/0.73 fof(c13,negated_conjecture,(?[R]:(?[E]:(order(R,E)&(?[M1]:(?[M2]:(((min(M1,R,E)&min(M2,R,E))&M1!=M2)&(?[M]:least(M,R,E)))))))),inference(fof_nnf,status(thm),[c12])).
% 0.56/0.73 fof(c14,negated_conjecture,(?[R]:(?[E]:(order(R,E)&((?[M1]:(?[M2]:((min(M1,R,E)&min(M2,R,E))&M1!=M2)))&(?[M]:least(M,R,E)))))),inference(shift_quantors,status(thm),[c13])).
% 0.56/0.73 fof(c15,negated_conjecture,(?[X2]:(?[X3]:(order(X2,X3)&((?[X4]:(?[X5]:((min(X4,X2,X3)&min(X5,X2,X3))&X4!=X5)))&(?[X6]:least(X6,X2,X3)))))),inference(variable_rename,status(thm),[c14])).
% 0.56/0.73 fof(c16,negated_conjecture,(order(skolem0001,skolem0002)&(((min(skolem0003,skolem0001,skolem0002)&min(skolem0004,skolem0001,skolem0002))&skolem0003!=skolem0004)&least(skolem0005,skolem0001,skolem0002))),inference(skolemize,status(esa),[c15])).
% 0.56/0.73 cnf(c20,negated_conjecture,skolem0003!=skolem0004,inference(split_conjunct,status(thm),[c16])).
% 0.56/0.73 cnf(transitivity,axiom,X103!=X105|X105!=X104|X103=X104,eq_axiom).
% 0.56/0.73 cnf(symmetry,axiom,X100!=X101|X101=X100,eq_axiom).
% 0.56/0.73 cnf(c21,negated_conjecture,least(skolem0005,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c16])).
% 0.56/0.73 fof(least,axiom,(![R]:(![E]:(![M]:(least(M,R,E)<=>(member(M,E)&(![X]:(member(X,E)=>apply(R,M,X)))))))),input).
% 0.56/0.73 fof(c68,axiom,(![R]:(![E]:(![M]:((~least(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,M,X)))))&((~member(M,E)|(?[X]:(member(X,E)&~apply(R,M,X))))|least(M,R,E)))))),inference(fof_nnf,status(thm),[least])).
% 0.56/0.73 fof(c69,axiom,((![R]:(![E]:(![M]:(~least(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,M,X))))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:(member(X,E)&~apply(R,M,X))))|least(M,R,E)))))),inference(shift_quantors,status(thm),[c68])).
% 0.56/0.73 fof(c70,axiom,((![X43]:(![X44]:(![X45]:(~least(X45,X43,X44)|(member(X45,X44)&(![X46]:(~member(X46,X44)|apply(X43,X45,X46))))))))&(![X47]:(![X48]:(![X49]:((~member(X49,X48)|(?[X50]:(member(X50,X48)&~apply(X47,X49,X50))))|least(X49,X47,X48)))))),inference(variable_rename,status(thm),[c69])).
% 0.56/0.73 fof(c72,axiom,(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:(![X48]:(![X49]:((~least(X45,X43,X44)|(member(X45,X44)&(~member(X46,X44)|apply(X43,X45,X46))))&((~member(X49,X48)|(member(skolem0010(X47,X48,X49),X48)&~apply(X47,X49,skolem0010(X47,X48,X49))))|least(X49,X47,X48)))))))))),inference(shift_quantors,status(thm),[fof(c71,axiom,((![X43]:(![X44]:(![X45]:(~least(X45,X43,X44)|(member(X45,X44)&(![X46]:(~member(X46,X44)|apply(X43,X45,X46))))))))&(![X47]:(![X48]:(![X49]:((~member(X49,X48)|(member(skolem0010(X47,X48,X49),X48)&~apply(X47,X49,skolem0010(X47,X48,X49))))|least(X49,X47,X48)))))),inference(skolemize,status(esa),[c70])).])).
% 0.56/0.73 fof(c73,axiom,(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:(![X48]:(![X49]:(((~least(X45,X43,X44)|member(X45,X44))&(~least(X45,X43,X44)|(~member(X46,X44)|apply(X43,X45,X46))))&(((~member(X49,X48)|member(skolem0010(X47,X48,X49),X48))|least(X49,X47,X48))&((~member(X49,X48)|~apply(X47,X49,skolem0010(X47,X48,X49)))|least(X49,X47,X48))))))))))),inference(distribute,status(thm),[c72])).
% 0.56/0.73 cnf(c74,axiom,~least(X120,X122,X121)|member(X120,X121),inference(split_conjunct,status(thm),[c73])).
% 0.56/0.73 cnf(c192,plain,member(skolem0005,skolem0002),inference(resolution,status(thm),[c74, c21])).
% 0.56/0.73 cnf(c19,negated_conjecture,min(skolem0004,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c16])).
% 0.56/0.73 fof(min,axiom,(![R]:(![E]:(![M]:(min(M,R,E)<=>(member(M,E)&(![X]:((member(X,E)&apply(R,X,M))=>M=X))))))),input).
% 0.56/0.73 fof(c46,axiom,(![R]:(![E]:(![M]:((~min(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,X,M))|M=X))))&((~member(M,E)|(?[X]:((member(X,E)&apply(R,X,M))&M!=X)))|min(M,R,E)))))),inference(fof_nnf,status(thm),[min])).
% 0.56/0.73 fof(c47,axiom,((![R]:(![E]:(![M]:(~min(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,X,M))|M=X)))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:((member(X,E)&apply(R,X,M))&M!=X)))|min(M,R,E)))))),inference(shift_quantors,status(thm),[c46])).
% 0.56/0.73 fof(c48,axiom,((![X27]:(![X28]:(![X29]:(~min(X29,X27,X28)|(member(X29,X28)&(![X30]:((~member(X30,X28)|~apply(X27,X30,X29))|X29=X30)))))))&(![X31]:(![X32]:(![X33]:((~member(X33,X32)|(?[X34]:((member(X34,X32)&apply(X31,X34,X33))&X33!=X34)))|min(X33,X31,X32)))))),inference(variable_rename,status(thm),[c47])).
% 0.56/0.73 fof(c50,axiom,(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:((~min(X29,X27,X28)|(member(X29,X28)&((~member(X30,X28)|~apply(X27,X30,X29))|X29=X30)))&((~member(X33,X32)|((member(skolem0008(X31,X32,X33),X32)&apply(X31,skolem0008(X31,X32,X33),X33))&X33!=skolem0008(X31,X32,X33)))|min(X33,X31,X32)))))))))),inference(shift_quantors,status(thm),[fof(c49,axiom,((![X27]:(![X28]:(![X29]:(~min(X29,X27,X28)|(member(X29,X28)&(![X30]:((~member(X30,X28)|~apply(X27,X30,X29))|X29=X30)))))))&(![X31]:(![X32]:(![X33]:((~member(X33,X32)|((member(skolem0008(X31,X32,X33),X32)&apply(X31,skolem0008(X31,X32,X33),X33))&X33!=skolem0008(X31,X32,X33)))|min(X33,X31,X32)))))),inference(skolemize,status(esa),[c48])).])).
% 0.56/0.73 fof(c51,axiom,(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(![X32]:(![X33]:(((~min(X29,X27,X28)|member(X29,X28))&(~min(X29,X27,X28)|((~member(X30,X28)|~apply(X27,X30,X29))|X29=X30)))&((((~member(X33,X32)|member(skolem0008(X31,X32,X33),X32))|min(X33,X31,X32))&((~member(X33,X32)|apply(X31,skolem0008(X31,X32,X33),X33))|min(X33,X31,X32)))&((~member(X33,X32)|X33!=skolem0008(X31,X32,X33))|min(X33,X31,X32))))))))))),inference(distribute,status(thm),[c50])).
% 0.56/0.73 cnf(c52,axiom,~min(X116,X114,X115)|member(X116,X115),inference(split_conjunct,status(thm),[c51])).
% 0.56/0.73 cnf(c190,plain,member(skolem0004,skolem0002),inference(resolution,status(thm),[c52, c19])).
% 0.56/0.73 cnf(c75,axiom,~least(X175,X177,X176)|~member(X174,X176)|apply(X177,X175,X174),inference(split_conjunct,status(thm),[c73])).
% 0.56/0.73 cnf(c210,plain,~member(X178,skolem0002)|apply(skolem0001,skolem0005,X178),inference(resolution,status(thm),[c75, c21])).
% 0.56/0.73 cnf(c215,plain,apply(skolem0001,skolem0005,skolem0004),inference(resolution,status(thm),[c210, c190])).
% 0.56/0.73 cnf(c53,axiom,~min(X305,X303,X304)|~member(X302,X304)|~apply(X303,X302,X305)|X305=X302,inference(split_conjunct,status(thm),[c51])).
% 0.56/0.73 cnf(c355,plain,~min(skolem0004,skolem0001,X399)|~member(skolem0005,X399)|skolem0004=skolem0005,inference(resolution,status(thm),[c53, c215])).
% 0.56/0.73 cnf(c690,plain,~member(skolem0005,skolem0002)|skolem0004=skolem0005,inference(resolution,status(thm),[c355, c19])).
% 0.56/0.73 cnf(c691,plain,skolem0004=skolem0005,inference(resolution,status(thm),[c690, c192])).
% 0.56/0.73 cnf(c694,plain,skolem0005=skolem0004,inference(resolution,status(thm),[c691, symmetry])).
% 0.56/0.73 cnf(c696,plain,X407!=skolem0005|X407=skolem0004,inference(resolution,status(thm),[c694, transitivity])).
% 0.56/0.73 cnf(c18,negated_conjecture,min(skolem0003,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c16])).
% 0.56/0.73 cnf(c191,plain,member(skolem0003,skolem0002),inference(resolution,status(thm),[c52, c18])).
% 0.56/0.73 cnf(c213,plain,apply(skolem0001,skolem0005,skolem0003),inference(resolution,status(thm),[c210, c191])).
% 0.56/0.73 cnf(c359,plain,~min(skolem0003,skolem0001,X414)|~member(skolem0005,X414)|skolem0003=skolem0005,inference(resolution,status(thm),[c53, c213])).
% 0.56/0.73 cnf(c756,plain,~member(skolem0005,skolem0002)|skolem0003=skolem0005,inference(resolution,status(thm),[c359, c18])).
% 0.56/0.73 cnf(c758,plain,skolem0003=skolem0005,inference(resolution,status(thm),[c756, c192])).
% 0.56/0.73 cnf(c760,plain,skolem0003=skolem0004,inference(resolution,status(thm),[c758, c696])).
% 0.56/0.73 cnf(c807,plain,$false,inference(resolution,status(thm),[c760, c20])).
% 0.56/0.73 # SZS output end CNFRefutation
% 0.56/0.73
% 0.56/0.73 # Initial clauses : 125
% 0.56/0.73 # Processed clauses : 129
% 0.56/0.73 # Factors computed : 0
% 0.56/0.73 # Resolvents computed: 623
% 0.56/0.73 # Tautologies deleted: 1
% 0.56/0.73 # Forward subsumed : 34
% 0.56/0.73 # Backward subsumed : 4
% 0.56/0.73 # -------- CPU Time ---------
% 0.56/0.73 # User time : 0.377 s
% 0.56/0.73 # System time : 0.018 s
% 0.56/0.73 # Total time : 0.395 s
%------------------------------------------------------------------------------