TSTP Solution File: SEU117+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 13:35:41 EDT 2022
% Result : Theorem 7.61s 7.92s
% Output : Refutation 7.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n024.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 Jun 19 05:12:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.61/7.92 # Version: 1.3
% 7.61/7.92 # SZS status Theorem
% 7.61/7.92 # SZS output start CNFRefutation
% 7.61/7.92 fof(t32_finsub_1,conjecture,(![A]:(![B]:(element(B,finite_subsets(A))=>element(B,powerset(A))))),input).
% 7.61/7.92 fof(c30,negated_conjecture,(~(![A]:(![B]:(element(B,finite_subsets(A))=>element(B,powerset(A)))))),inference(assume_negation,status(cth),[t32_finsub_1])).
% 7.61/7.92 fof(c31,negated_conjecture,(?[A]:(?[B]:(element(B,finite_subsets(A))&~element(B,powerset(A))))),inference(fof_nnf,status(thm),[c30])).
% 7.61/7.92 fof(c32,negated_conjecture,(?[X7]:(?[X8]:(element(X8,finite_subsets(X7))&~element(X8,powerset(X7))))),inference(variable_rename,status(thm),[c31])).
% 7.61/7.92 fof(c33,negated_conjecture,(element(skolem0003,finite_subsets(skolem0002))&~element(skolem0003,powerset(skolem0002))),inference(skolemize,status(esa),[c32])).
% 7.61/7.92 cnf(c35,negated_conjecture,~element(skolem0003,powerset(skolem0002)),inference(split_conjunct,status(thm),[c33])).
% 7.61/7.92 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 7.61/7.92 fof(c42,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 7.61/7.92 fof(c43,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c42])).
% 7.61/7.92 fof(c45,axiom,(![X14]:(![X15]:(![X16]:(![X17]:((~element(X14,powerset(X15))|subset(X14,X15))&(~subset(X16,X17)|element(X16,powerset(X17)))))))),inference(shift_quantors,status(thm),[fof(c44,axiom,((![X14]:(![X15]:(~element(X14,powerset(X15))|subset(X14,X15))))&(![X16]:(![X17]:(~subset(X16,X17)|element(X16,powerset(X17)))))),inference(variable_rename,status(thm),[c43])).])).
% 7.61/7.92 cnf(c47,axiom,~subset(X221,X222)|element(X221,powerset(X222)),inference(split_conjunct,status(thm),[c45])).
% 7.61/7.92 fof(fc2_finsub_1,axiom,(![A]:((((~empty(finite_subsets(A)))&cup_closed(finite_subsets(A)))&diff_closed(finite_subsets(A)))&preboolean(finite_subsets(A)))),input).
% 7.61/7.92 fof(c125,axiom,(![A]:(((~empty(finite_subsets(A))&cup_closed(finite_subsets(A)))&diff_closed(finite_subsets(A)))&preboolean(finite_subsets(A)))),inference(fof_simplification,status(thm),[fc2_finsub_1])).
% 7.61/7.92 fof(c126,axiom,((((![A]:~empty(finite_subsets(A)))&(![A]:cup_closed(finite_subsets(A))))&(![A]:diff_closed(finite_subsets(A))))&(![A]:preboolean(finite_subsets(A)))),inference(shift_quantors,status(thm),[c125])).
% 7.61/7.92 fof(c128,axiom,(![X40]:(![X41]:(![X42]:(![X43]:(((~empty(finite_subsets(X40))&cup_closed(finite_subsets(X41)))&diff_closed(finite_subsets(X42)))&preboolean(finite_subsets(X43))))))),inference(shift_quantors,status(thm),[fof(c127,axiom,((((![X40]:~empty(finite_subsets(X40)))&(![X41]:cup_closed(finite_subsets(X41))))&(![X42]:diff_closed(finite_subsets(X42))))&(![X43]:preboolean(finite_subsets(X43)))),inference(variable_rename,status(thm),[c126])).])).
% 7.61/7.92 cnf(c132,axiom,preboolean(finite_subsets(X92)),inference(split_conjunct,status(thm),[c128])).
% 7.61/7.92 cnf(reflexivity,axiom,X64=X64,eq_axiom).
% 7.61/7.92 fof(d5_finsub_1,axiom,(![A]:(![B]:(preboolean(B)=>(B=finite_subsets(A)<=>(![C]:(in(C,B)<=>(subset(C,A)&finite(C)))))))),input).
% 7.61/7.92 fof(c18,axiom,(![A]:(![B]:(~preboolean(B)|((B!=finite_subsets(A)|(![C]:((~in(C,B)|(subset(C,A)&finite(C)))&((~subset(C,A)|~finite(C))|in(C,B)))))&((?[C]:((~in(C,B)|(~subset(C,A)|~finite(C)))&(in(C,B)|(subset(C,A)&finite(C)))))|B=finite_subsets(A)))))),inference(fof_nnf,status(thm),[d5_finsub_1])).
% 7.61/7.92 fof(c19,axiom,(![A]:(![B]:(~preboolean(B)|((B!=finite_subsets(A)|((![C]:(~in(C,B)|(subset(C,A)&finite(C))))&(![C]:((~subset(C,A)|~finite(C))|in(C,B)))))&((?[C]:((~in(C,B)|(~subset(C,A)|~finite(C)))&(in(C,B)|(subset(C,A)&finite(C)))))|B=finite_subsets(A)))))),inference(shift_quantors,status(thm),[c18])).
% 7.61/7.92 fof(c20,axiom,(![X2]:(![X3]:(~preboolean(X3)|((X3!=finite_subsets(X2)|((![X4]:(~in(X4,X3)|(subset(X4,X2)&finite(X4))))&(![X5]:((~subset(X5,X2)|~finite(X5))|in(X5,X3)))))&((?[X6]:((~in(X6,X3)|(~subset(X6,X2)|~finite(X6)))&(in(X6,X3)|(subset(X6,X2)&finite(X6)))))|X3=finite_subsets(X2)))))),inference(variable_rename,status(thm),[c19])).
% 7.61/7.92 fof(c22,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(~preboolean(X3)|((X3!=finite_subsets(X2)|((~in(X4,X3)|(subset(X4,X2)&finite(X4)))&((~subset(X5,X2)|~finite(X5))|in(X5,X3))))&(((~in(skolem0001(X2,X3),X3)|(~subset(skolem0001(X2,X3),X2)|~finite(skolem0001(X2,X3))))&(in(skolem0001(X2,X3),X3)|(subset(skolem0001(X2,X3),X2)&finite(skolem0001(X2,X3)))))|X3=finite_subsets(X2)))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,(![X2]:(![X3]:(~preboolean(X3)|((X3!=finite_subsets(X2)|((![X4]:(~in(X4,X3)|(subset(X4,X2)&finite(X4))))&(![X5]:((~subset(X5,X2)|~finite(X5))|in(X5,X3)))))&(((~in(skolem0001(X2,X3),X3)|(~subset(skolem0001(X2,X3),X2)|~finite(skolem0001(X2,X3))))&(in(skolem0001(X2,X3),X3)|(subset(skolem0001(X2,X3),X2)&finite(skolem0001(X2,X3)))))|X3=finite_subsets(X2)))))),inference(skolemize,status(esa),[c20])).])).
% 7.61/7.92 fof(c23,axiom,(![X2]:(![X3]:(![X4]:(![X5]:((((~preboolean(X3)|(X3!=finite_subsets(X2)|(~in(X4,X3)|subset(X4,X2))))&(~preboolean(X3)|(X3!=finite_subsets(X2)|(~in(X4,X3)|finite(X4)))))&(~preboolean(X3)|(X3!=finite_subsets(X2)|((~subset(X5,X2)|~finite(X5))|in(X5,X3)))))&((~preboolean(X3)|((~in(skolem0001(X2,X3),X3)|(~subset(skolem0001(X2,X3),X2)|~finite(skolem0001(X2,X3))))|X3=finite_subsets(X2)))&((~preboolean(X3)|((in(skolem0001(X2,X3),X3)|subset(skolem0001(X2,X3),X2))|X3=finite_subsets(X2)))&(~preboolean(X3)|((in(skolem0001(X2,X3),X3)|finite(skolem0001(X2,X3)))|X3=finite_subsets(X2)))))))))),inference(distribute,status(thm),[c22])).
% 7.61/7.92 cnf(c24,axiom,~preboolean(X188)|X188!=finite_subsets(X189)|~in(X187,X188)|subset(X187,X189),inference(split_conjunct,status(thm),[c23])).
% 7.61/7.92 cnf(c330,plain,~preboolean(finite_subsets(X438))|~in(X439,finite_subsets(X438))|subset(X439,X438),inference(resolution,status(thm),[c24, reflexivity])).
% 7.61/7.92 cnf(c129,axiom,~empty(finite_subsets(X87)),inference(split_conjunct,status(thm),[c128])).
% 7.61/7.92 cnf(c34,negated_conjecture,element(skolem0003,finite_subsets(skolem0002)),inference(split_conjunct,status(thm),[c33])).
% 7.61/7.92 fof(t2_subset,axiom,(![A]:(![B]:(element(A,B)=>(empty(B)|in(A,B))))),input).
% 7.61/7.92 fof(c162,axiom,(![A]:(![B]:(~element(A,B)|(empty(B)|in(A,B))))),inference(fof_nnf,status(thm),[t2_subset])).
% 7.61/7.92 fof(c163,axiom,(![X60]:(![X61]:(~element(X60,X61)|(empty(X61)|in(X60,X61))))),inference(variable_rename,status(thm),[c162])).
% 7.61/7.92 cnf(c164,axiom,~element(X267,X266)|empty(X266)|in(X267,X266),inference(split_conjunct,status(thm),[c163])).
% 7.61/7.92 cnf(c509,plain,empty(finite_subsets(skolem0002))|in(skolem0003,finite_subsets(skolem0002)),inference(resolution,status(thm),[c164, c34])).
% 7.61/7.92 cnf(c3192,plain,in(skolem0003,finite_subsets(skolem0002)),inference(resolution,status(thm),[c509, c129])).
% 7.61/7.92 cnf(c3205,plain,~preboolean(finite_subsets(skolem0002))|subset(skolem0003,skolem0002),inference(resolution,status(thm),[c3192, c330])).
% 7.61/7.92 cnf(c15416,plain,subset(skolem0003,skolem0002),inference(resolution,status(thm),[c3205, c132])).
% 7.61/7.92 cnf(c15417,plain,element(skolem0003,powerset(skolem0002)),inference(resolution,status(thm),[c15416, c47])).
% 7.61/7.92 cnf(c15422,plain,$false,inference(resolution,status(thm),[c15417, c35])).
% 7.61/7.92 # SZS output end CNFRefutation
% 7.61/7.92
% 7.61/7.92 # Initial clauses : 87
% 7.61/7.92 # Processed clauses : 1130
% 7.61/7.92 # Factors computed : 0
% 7.61/7.92 # Resolvents computed: 15255
% 7.61/7.92 # Tautologies deleted: 28
% 7.61/7.92 # Forward subsumed : 1383
% 7.61/7.92 # Backward subsumed : 124
% 7.61/7.92 # -------- CPU Time ---------
% 7.61/7.92 # User time : 7.397 s
% 7.61/7.92 # System time : 0.043 s
% 7.61/7.92 # Total time : 7.440 s
%------------------------------------------------------------------------------