TSTP Solution File: NUM390+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 : Mon Jul 18 13:36:10 EDT 2022
% Result : Theorem 38.64s 38.86s
% Output : Refutation 38.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.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 : 600
% 0.13/0.34 % DateTime : Wed Jul 6 07:13:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 38.64/38.86 # Version: 1.3
% 38.64/38.86 # SZS status Theorem
% 38.64/38.86 # SZS output start CNFRefutation
% 38.64/38.86 fof(t22_ordinal1,conjecture,(![A]:(epsilon_transitive(A)=>(![B]:(ordinal(B)=>(![C]:(ordinal(C)=>((subset(A,B)&in(B,C))=>in(A,C)))))))),input).
% 38.64/38.86 fof(c41,negated_conjecture,(~(![A]:(epsilon_transitive(A)=>(![B]:(ordinal(B)=>(![C]:(ordinal(C)=>((subset(A,B)&in(B,C))=>in(A,C))))))))),inference(assume_negation,status(cth),[t22_ordinal1])).
% 38.64/38.86 fof(c42,negated_conjecture,(?[A]:(epsilon_transitive(A)&(?[B]:(ordinal(B)&(?[C]:(ordinal(C)&((subset(A,B)&in(B,C))&~in(A,C)))))))),inference(fof_nnf,status(thm),[c41])).
% 38.64/38.86 fof(c43,negated_conjecture,(?[X21]:(epsilon_transitive(X21)&(?[X22]:(ordinal(X22)&(?[X23]:(ordinal(X23)&((subset(X21,X22)&in(X22,X23))&~in(X21,X23)))))))),inference(variable_rename,status(thm),[c42])).
% 38.64/38.86 fof(c44,negated_conjecture,(epsilon_transitive(skolem0001)&(ordinal(skolem0002)&(ordinal(skolem0003)&((subset(skolem0001,skolem0002)&in(skolem0002,skolem0003))&~in(skolem0001,skolem0003))))),inference(skolemize,status(esa),[c43])).
% 38.64/38.86 cnf(c49,negated_conjecture,in(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c44])).
% 38.64/38.86 fof(t7_boole,axiom,(![A]:(![B]:(~(in(A,B)&empty(B))))),input).
% 38.64/38.86 fof(c20,axiom,(![A]:(![B]:(~in(A,B)|~empty(B)))),inference(fof_nnf,status(thm),[t7_boole])).
% 38.64/38.86 fof(c21,axiom,(![X6]:(![X7]:(~in(X6,X7)|~empty(X7)))),inference(variable_rename,status(thm),[c20])).
% 38.64/38.86 cnf(c22,axiom,~in(X112,X113)|~empty(X113),inference(split_conjunct,status(thm),[c21])).
% 38.64/38.86 cnf(c197,plain,~empty(skolem0003),inference(resolution,status(thm),[c22, c49])).
% 38.64/38.86 cnf(c50,negated_conjecture,~in(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c44])).
% 38.64/38.86 fof(t2_subset,axiom,(![A]:(![B]:(element(A,B)=>(empty(B)|in(A,B))))),input).
% 38.64/38.86 fof(c38,axiom,(![A]:(![B]:(~element(A,B)|(empty(B)|in(A,B))))),inference(fof_nnf,status(thm),[t2_subset])).
% 38.64/38.86 fof(c39,axiom,(![X19]:(![X20]:(~element(X19,X20)|(empty(X20)|in(X19,X20))))),inference(variable_rename,status(thm),[c38])).
% 38.64/38.86 cnf(c40,axiom,~element(X158,X159)|empty(X159)|in(X158,X159),inference(split_conjunct,status(thm),[c39])).
% 38.64/38.86 fof(t4_subset,axiom,(![A]:(![B]:(![C]:((in(A,B)&element(B,powerset(C)))=>element(A,C))))),input).
% 38.64/38.86 fof(c29,axiom,(![A]:(![B]:(![C]:((~in(A,B)|~element(B,powerset(C)))|element(A,C))))),inference(fof_nnf,status(thm),[t4_subset])).
% 38.64/38.86 fof(c30,axiom,(![X12]:(![X13]:(![X14]:((~in(X12,X13)|~element(X13,powerset(X14)))|element(X12,X14))))),inference(variable_rename,status(thm),[c29])).
% 38.64/38.86 cnf(c31,axiom,~in(X140,X141)|~element(X141,powerset(X142))|element(X140,X142),inference(split_conjunct,status(thm),[c30])).
% 38.64/38.86 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 38.64/38.86 fof(c32,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 38.64/38.86 fof(c33,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c32])).
% 38.64/38.86 fof(c35,axiom,(![X15]:(![X16]:(![X17]:(![X18]:((~element(X15,powerset(X16))|subset(X15,X16))&(~subset(X17,X18)|element(X17,powerset(X18)))))))),inference(shift_quantors,status(thm),[fof(c34,axiom,((![X15]:(![X16]:(~element(X15,powerset(X16))|subset(X15,X16))))&(![X17]:(![X18]:(~subset(X17,X18)|element(X17,powerset(X18)))))),inference(variable_rename,status(thm),[c33])).])).
% 38.64/38.86 cnf(c37,axiom,~subset(X153,X152)|element(X153,powerset(X152)),inference(split_conjunct,status(thm),[c35])).
% 38.64/38.86 cnf(c47,negated_conjecture,ordinal(skolem0003),inference(split_conjunct,status(thm),[c44])).
% 38.64/38.86 fof(cc1_ordinal1,axiom,(![A]:(ordinal(A)=>(epsilon_transitive(A)&epsilon_connected(A)))),input).
% 38.64/38.86 fof(c154,axiom,(![A]:(~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),inference(fof_nnf,status(thm),[cc1_ordinal1])).
% 38.64/38.86 fof(c155,axiom,(![X57]:(~ordinal(X57)|(epsilon_transitive(X57)&epsilon_connected(X57)))),inference(variable_rename,status(thm),[c154])).
% 38.64/38.86 fof(c156,axiom,(![X57]:((~ordinal(X57)|epsilon_transitive(X57))&(~ordinal(X57)|epsilon_connected(X57)))),inference(distribute,status(thm),[c155])).
% 38.64/38.86 cnf(c157,axiom,~ordinal(X92)|epsilon_transitive(X92),inference(split_conjunct,status(thm),[c156])).
% 38.64/38.86 cnf(c183,plain,epsilon_transitive(skolem0003),inference(resolution,status(thm),[c157, c47])).
% 38.64/38.86 fof(d2_ordinal1,axiom,(![A]:(epsilon_transitive(A)<=>(![B]:(in(B,A)=>subset(B,A))))),input).
% 38.64/38.86 fof(c133,axiom,(![A]:((~epsilon_transitive(A)|(![B]:(~in(B,A)|subset(B,A))))&((?[B]:(in(B,A)&~subset(B,A)))|epsilon_transitive(A)))),inference(fof_nnf,status(thm),[d2_ordinal1])).
% 38.64/38.86 fof(c134,axiom,((![A]:(~epsilon_transitive(A)|(![B]:(~in(B,A)|subset(B,A)))))&(![A]:((?[B]:(in(B,A)&~subset(B,A)))|epsilon_transitive(A)))),inference(shift_quantors,status(thm),[c133])).
% 38.64/38.86 fof(c135,axiom,((![X50]:(~epsilon_transitive(X50)|(![X51]:(~in(X51,X50)|subset(X51,X50)))))&(![X52]:((?[X53]:(in(X53,X52)&~subset(X53,X52)))|epsilon_transitive(X52)))),inference(variable_rename,status(thm),[c134])).
% 38.64/38.86 fof(c137,axiom,(![X50]:(![X51]:(![X52]:((~epsilon_transitive(X50)|(~in(X51,X50)|subset(X51,X50)))&((in(skolem0016(X52),X52)&~subset(skolem0016(X52),X52))|epsilon_transitive(X52)))))),inference(shift_quantors,status(thm),[fof(c136,axiom,((![X50]:(~epsilon_transitive(X50)|(![X51]:(~in(X51,X50)|subset(X51,X50)))))&(![X52]:((in(skolem0016(X52),X52)&~subset(skolem0016(X52),X52))|epsilon_transitive(X52)))),inference(skolemize,status(esa),[c135])).])).
% 38.64/38.86 fof(c138,axiom,(![X50]:(![X51]:(![X52]:((~epsilon_transitive(X50)|(~in(X51,X50)|subset(X51,X50)))&((in(skolem0016(X52),X52)|epsilon_transitive(X52))&(~subset(skolem0016(X52),X52)|epsilon_transitive(X52))))))),inference(distribute,status(thm),[c137])).
% 38.64/38.86 cnf(c139,axiom,~epsilon_transitive(X167)|~in(X168,X167)|subset(X168,X167),inference(split_conjunct,status(thm),[c138])).
% 38.64/38.86 cnf(c309,plain,~epsilon_transitive(skolem0003)|subset(skolem0002,skolem0003),inference(resolution,status(thm),[c139, c49])).
% 38.64/38.86 cnf(c704,plain,subset(skolem0002,skolem0003),inference(resolution,status(thm),[c309, c183])).
% 38.64/38.86 cnf(c705,plain,element(skolem0002,powerset(skolem0003)),inference(resolution,status(thm),[c704, c37])).
% 38.64/38.86 cnf(c796,plain,~in(X326,skolem0002)|element(X326,skolem0003),inference(resolution,status(thm),[c705, c31])).
% 38.64/38.86 cnf(reflexivity,axiom,X63=X63,eq_axiom).
% 38.64/38.86 cnf(c1,plain,X74!=X72|X75!=X73|~in(X74,X75)|in(X72,X73),eq_axiom).
% 38.64/38.86 cnf(c175,plain,skolem0002!=X177|skolem0003!=X176|in(X177,X176),inference(resolution,status(thm),[c49, c1])).
% 38.64/38.86 cnf(c338,plain,skolem0002!=X235|in(X235,skolem0003),inference(resolution,status(thm),[c175, reflexivity])).
% 38.64/38.86 cnf(symmetry,axiom,X65!=X66|X66=X65,eq_axiom).
% 38.64/38.86 cnf(c48,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c44])).
% 38.64/38.86 fof(d8_xboole_0,axiom,(![A]:(![B]:(proper_subset(A,B)<=>(subset(A,B)&A!=B)))),input).
% 38.64/38.86 fof(c125,axiom,(![A]:(![B]:((~proper_subset(A,B)|(subset(A,B)&A!=B))&((~subset(A,B)|A=B)|proper_subset(A,B))))),inference(fof_nnf,status(thm),[d8_xboole_0])).
% 38.64/38.86 fof(c126,axiom,((![A]:(![B]:(~proper_subset(A,B)|(subset(A,B)&A!=B))))&(![A]:(![B]:((~subset(A,B)|A=B)|proper_subset(A,B))))),inference(shift_quantors,status(thm),[c125])).
% 38.64/38.86 fof(c128,axiom,(![X46]:(![X47]:(![X48]:(![X49]:((~proper_subset(X46,X47)|(subset(X46,X47)&X46!=X47))&((~subset(X48,X49)|X48=X49)|proper_subset(X48,X49))))))),inference(shift_quantors,status(thm),[fof(c127,axiom,((![X46]:(![X47]:(~proper_subset(X46,X47)|(subset(X46,X47)&X46!=X47))))&(![X48]:(![X49]:((~subset(X48,X49)|X48=X49)|proper_subset(X48,X49))))),inference(variable_rename,status(thm),[c126])).])).
% 38.64/38.86 fof(c129,axiom,(![X46]:(![X47]:(![X48]:(![X49]:(((~proper_subset(X46,X47)|subset(X46,X47))&(~proper_subset(X46,X47)|X46!=X47))&((~subset(X48,X49)|X48=X49)|proper_subset(X48,X49))))))),inference(distribute,status(thm),[c128])).
% 38.64/38.86 cnf(c132,axiom,~subset(X166,X165)|X166=X165|proper_subset(X166,X165),inference(split_conjunct,status(thm),[c129])).
% 38.64/38.86 cnf(c307,plain,skolem0001=skolem0002|proper_subset(skolem0001,skolem0002),inference(resolution,status(thm),[c132, c48])).
% 38.64/38.86 cnf(c685,plain,proper_subset(skolem0001,skolem0002)|skolem0002=skolem0001,inference(resolution,status(thm),[c307, symmetry])).
% 38.64/38.86 cnf(c3612,plain,proper_subset(skolem0001,skolem0002)|in(skolem0001,skolem0003),inference(resolution,status(thm),[c685, c338])).
% 38.64/38.86 cnf(c9095,plain,proper_subset(skolem0001,skolem0002),inference(resolution,status(thm),[c3612, c50])).
% 38.64/38.86 cnf(c131,axiom,~proper_subset(X135,X134)|X135!=X134,inference(split_conjunct,status(thm),[c129])).
% 38.64/38.86 cnf(c45,negated_conjecture,epsilon_transitive(skolem0001),inference(split_conjunct,status(thm),[c44])).
% 38.64/38.86 cnf(c46,negated_conjecture,ordinal(skolem0002),inference(split_conjunct,status(thm),[c44])).
% 38.64/38.86 fof(t21_ordinal1,axiom,(![A]:(epsilon_transitive(A)=>(![B]:(ordinal(B)=>(proper_subset(A,B)=>in(A,B)))))),input).
% 38.64/38.86 fof(c51,axiom,(![A]:(~epsilon_transitive(A)|(![B]:(~ordinal(B)|(~proper_subset(A,B)|in(A,B)))))),inference(fof_nnf,status(thm),[t21_ordinal1])).
% 38.64/38.86 fof(c53,axiom,(![X24]:(![X25]:(~epsilon_transitive(X24)|(~ordinal(X25)|(~proper_subset(X24,X25)|in(X24,X25)))))),inference(shift_quantors,status(thm),[fof(c52,axiom,(![X24]:(~epsilon_transitive(X24)|(![X25]:(~ordinal(X25)|(~proper_subset(X24,X25)|in(X24,X25)))))),inference(variable_rename,status(thm),[c51])).])).
% 38.64/38.86 cnf(c54,axiom,~epsilon_transitive(X161)|~ordinal(X160)|~proper_subset(X161,X160)|in(X161,X160),inference(split_conjunct,status(thm),[c53])).
% 38.64/38.86 cnf(c702,plain,skolem0001=skolem0002|~epsilon_transitive(skolem0001)|~ordinal(skolem0002)|in(skolem0001,skolem0002),inference(resolution,status(thm),[c307, c54])).
% 38.64/38.86 cnf(c3674,plain,skolem0001=skolem0002|~epsilon_transitive(skolem0001)|in(skolem0001,skolem0002),inference(resolution,status(thm),[c702, c46])).
% 38.64/38.86 cnf(c46993,plain,skolem0001=skolem0002|in(skolem0001,skolem0002),inference(resolution,status(thm),[c3674, c45])).
% 38.64/38.86 cnf(c47025,plain,in(skolem0001,skolem0002)|~proper_subset(skolem0001,skolem0002),inference(resolution,status(thm),[c46993, c131])).
% 38.64/38.86 cnf(c47111,plain,in(skolem0001,skolem0002),inference(resolution,status(thm),[c47025, c9095])).
% 38.64/38.86 cnf(c47113,plain,element(skolem0001,skolem0003),inference(resolution,status(thm),[c47111, c796])).
% 38.64/38.86 cnf(c47128,plain,empty(skolem0003)|in(skolem0001,skolem0003),inference(resolution,status(thm),[c47113, c40])).
% 38.64/38.86 cnf(c47232,plain,empty(skolem0003),inference(resolution,status(thm),[c47128, c50])).
% 38.64/38.86 cnf(c47297,plain,$false,inference(resolution,status(thm),[c47232, c197])).
% 38.64/38.86 # SZS output end CNFRefutation
% 38.64/38.86
% 38.64/38.86 # Initial clauses : 85
% 38.64/38.86 # Processed clauses : 2555
% 38.64/38.86 # Factors computed : 2
% 38.64/38.86 # Resolvents computed: 47139
% 38.64/38.86 # Tautologies deleted: 78
% 38.64/38.86 # Forward subsumed : 5833
% 38.64/38.86 # Backward subsumed : 352
% 38.64/38.86 # -------- CPU Time ---------
% 38.64/38.86 # User time : 38.417 s
% 38.64/38.86 # System time : 0.080 s
% 38.64/38.86 # Total time : 38.497 s
%------------------------------------------------------------------------------