TSTP Solution File: NUM388+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 13:36:09 EDT 2022
% Result : Theorem 0.85s 1.05s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n011.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 : Thu Jul 7 10:28:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.05 # Version: 1.3
% 0.85/1.05 # SZS status Theorem
% 0.85/1.05 # SZS output start CNFRefutation
% 0.85/1.05 fof(t19_ordinal1,conjecture,(![A]:(ordinal(A)=>(![B]:(ordinal(B)=>(![C]:(epsilon_transitive(C)=>((in(C,A)&in(A,B))=>in(C,B)))))))),input).
% 0.85/1.05 fof(c40,negated_conjecture,(~(![A]:(ordinal(A)=>(![B]:(ordinal(B)=>(![C]:(epsilon_transitive(C)=>((in(C,A)&in(A,B))=>in(C,B))))))))),inference(assume_negation,status(cth),[t19_ordinal1])).
% 0.85/1.05 fof(c41,negated_conjecture,(?[A]:(ordinal(A)&(?[B]:(ordinal(B)&(?[C]:(epsilon_transitive(C)&((in(C,A)&in(A,B))&~in(C,B)))))))),inference(fof_nnf,status(thm),[c40])).
% 0.85/1.05 fof(c42,negated_conjecture,(?[X21]:(ordinal(X21)&(?[X22]:(ordinal(X22)&(?[X23]:(epsilon_transitive(X23)&((in(X23,X21)&in(X21,X22))&~in(X23,X22)))))))),inference(variable_rename,status(thm),[c41])).
% 0.85/1.05 fof(c43,negated_conjecture,(ordinal(skolem0001)&(ordinal(skolem0002)&(epsilon_transitive(skolem0003)&((in(skolem0003,skolem0001)&in(skolem0001,skolem0002))&~in(skolem0003,skolem0002))))),inference(skolemize,status(esa),[c42])).
% 0.85/1.05 cnf(c48,negated_conjecture,in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c43])).
% 0.85/1.05 fof(t7_boole,axiom,(![A]:(![B]:(~(in(A,B)&empty(B))))),input).
% 0.85/1.05 fof(c16,axiom,(![A]:(![B]:(~in(A,B)|~empty(B)))),inference(fof_nnf,status(thm),[t7_boole])).
% 0.85/1.05 fof(c17,axiom,(![X4]:(![X5]:(~in(X4,X5)|~empty(X5)))),inference(variable_rename,status(thm),[c16])).
% 0.85/1.05 cnf(c18,axiom,~in(X97,X98)|~empty(X98),inference(split_conjunct,status(thm),[c17])).
% 0.85/1.05 cnf(c172,plain,~empty(skolem0002),inference(resolution,status(thm),[c18, c48])).
% 0.85/1.05 cnf(c49,negated_conjecture,~in(skolem0003,skolem0002),inference(split_conjunct,status(thm),[c43])).
% 0.85/1.05 fof(t2_subset,axiom,(![A]:(![B]:(element(A,B)=>(empty(B)|in(A,B))))),input).
% 0.85/1.05 fof(c34,axiom,(![A]:(![B]:(~element(A,B)|(empty(B)|in(A,B))))),inference(fof_nnf,status(thm),[t2_subset])).
% 0.85/1.05 fof(c35,axiom,(![X17]:(![X18]:(~element(X17,X18)|(empty(X18)|in(X17,X18))))),inference(variable_rename,status(thm),[c34])).
% 0.85/1.05 cnf(c36,axiom,~element(X130,X129)|empty(X129)|in(X130,X129),inference(split_conjunct,status(thm),[c35])).
% 0.85/1.05 cnf(c47,negated_conjecture,in(skolem0003,skolem0001),inference(split_conjunct,status(thm),[c43])).
% 0.85/1.05 fof(t4_subset,axiom,(![A]:(![B]:(![C]:((in(A,B)&element(B,powerset(C)))=>element(A,C))))),input).
% 0.85/1.05 fof(c25,axiom,(![A]:(![B]:(![C]:((~in(A,B)|~element(B,powerset(C)))|element(A,C))))),inference(fof_nnf,status(thm),[t4_subset])).
% 0.85/1.05 fof(c26,axiom,(![X10]:(![X11]:(![X12]:((~in(X10,X11)|~element(X11,powerset(X12)))|element(X10,X12))))),inference(variable_rename,status(thm),[c25])).
% 0.85/1.05 cnf(c27,axiom,~in(X120,X118)|~element(X118,powerset(X119))|element(X120,X119),inference(split_conjunct,status(thm),[c26])).
% 0.85/1.05 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 0.85/1.05 fof(c28,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 0.85/1.05 fof(c29,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c28])).
% 0.85/1.05 fof(c31,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~element(X13,powerset(X14))|subset(X13,X14))&(~subset(X15,X16)|element(X15,powerset(X16)))))))),inference(shift_quantors,status(thm),[fof(c30,axiom,((![X13]:(![X14]:(~element(X13,powerset(X14))|subset(X13,X14))))&(![X15]:(![X16]:(~subset(X15,X16)|element(X15,powerset(X16)))))),inference(variable_rename,status(thm),[c29])).])).
% 0.85/1.05 cnf(c33,axiom,~subset(X124,X123)|element(X124,powerset(X123)),inference(split_conjunct,status(thm),[c31])).
% 0.85/1.05 cnf(c45,negated_conjecture,ordinal(skolem0002),inference(split_conjunct,status(thm),[c43])).
% 0.85/1.05 fof(cc1_ordinal1,axiom,(![A]:(ordinal(A)=>(epsilon_transitive(A)&epsilon_connected(A)))),input).
% 0.85/1.05 fof(c132,axiom,(![A]:(~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),inference(fof_nnf,status(thm),[cc1_ordinal1])).
% 0.85/1.05 fof(c133,axiom,(![X45]:(~ordinal(X45)|(epsilon_transitive(X45)&epsilon_connected(X45)))),inference(variable_rename,status(thm),[c132])).
% 0.85/1.05 fof(c134,axiom,(![X45]:((~ordinal(X45)|epsilon_transitive(X45))&(~ordinal(X45)|epsilon_connected(X45)))),inference(distribute,status(thm),[c133])).
% 0.85/1.05 cnf(c135,axiom,~ordinal(X75)|epsilon_transitive(X75),inference(split_conjunct,status(thm),[c134])).
% 0.85/1.05 cnf(c159,plain,epsilon_transitive(skolem0002),inference(resolution,status(thm),[c135, c45])).
% 0.85/1.05 fof(d2_ordinal1,axiom,(![A]:(epsilon_transitive(A)<=>(![B]:(in(B,A)=>subset(B,A))))),input).
% 0.85/1.05 fof(c111,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])).
% 0.85/1.05 fof(c112,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),[c111])).
% 0.85/1.05 fof(c113,axiom,((![X38]:(~epsilon_transitive(X38)|(![X39]:(~in(X39,X38)|subset(X39,X38)))))&(![X40]:((?[X41]:(in(X41,X40)&~subset(X41,X40)))|epsilon_transitive(X40)))),inference(variable_rename,status(thm),[c112])).
% 0.85/1.05 fof(c115,axiom,(![X38]:(![X39]:(![X40]:((~epsilon_transitive(X38)|(~in(X39,X38)|subset(X39,X38)))&((in(skolem0016(X40),X40)&~subset(skolem0016(X40),X40))|epsilon_transitive(X40)))))),inference(shift_quantors,status(thm),[fof(c114,axiom,((![X38]:(~epsilon_transitive(X38)|(![X39]:(~in(X39,X38)|subset(X39,X38)))))&(![X40]:((in(skolem0016(X40),X40)&~subset(skolem0016(X40),X40))|epsilon_transitive(X40)))),inference(skolemize,status(esa),[c113])).])).
% 0.85/1.05 fof(c116,axiom,(![X38]:(![X39]:(![X40]:((~epsilon_transitive(X38)|(~in(X39,X38)|subset(X39,X38)))&((in(skolem0016(X40),X40)|epsilon_transitive(X40))&(~subset(skolem0016(X40),X40)|epsilon_transitive(X40))))))),inference(distribute,status(thm),[c115])).
% 0.85/1.05 cnf(c117,axiom,~epsilon_transitive(X132)|~in(X131,X132)|subset(X131,X132),inference(split_conjunct,status(thm),[c116])).
% 0.85/1.05 cnf(c274,plain,~epsilon_transitive(skolem0002)|subset(skolem0001,skolem0002),inference(resolution,status(thm),[c117, c48])).
% 0.85/1.05 cnf(c595,plain,subset(skolem0001,skolem0002),inference(resolution,status(thm),[c274, c159])).
% 0.85/1.05 cnf(c596,plain,element(skolem0001,powerset(skolem0002)),inference(resolution,status(thm),[c595, c33])).
% 0.85/1.05 cnf(c689,plain,~in(X262,skolem0001)|element(X262,skolem0002),inference(resolution,status(thm),[c596, c27])).
% 0.85/1.05 cnf(c1226,plain,element(skolem0003,skolem0002),inference(resolution,status(thm),[c689, c47])).
% 0.85/1.05 cnf(c1233,plain,empty(skolem0002)|in(skolem0003,skolem0002),inference(resolution,status(thm),[c1226, c36])).
% 0.85/1.05 cnf(c1640,plain,empty(skolem0002),inference(resolution,status(thm),[c1233, c49])).
% 0.85/1.05 cnf(c1655,plain,$false,inference(resolution,status(thm),[c1640, c172])).
% 0.85/1.05 # SZS output end CNFRefutation
% 0.85/1.05
% 0.85/1.05 # Initial clauses : 76
% 0.85/1.05 # Processed clauses : 401
% 0.85/1.05 # Factors computed : 0
% 0.85/1.05 # Resolvents computed: 1513
% 0.85/1.05 # Tautologies deleted: 15
% 0.85/1.05 # Forward subsumed : 350
% 0.85/1.05 # Backward subsumed : 23
% 0.85/1.05 # -------- CPU Time ---------
% 0.85/1.05 # User time : 0.698 s
% 0.85/1.05 # System time : 0.014 s
% 0.85/1.05 # Total time : 0.712 s
%------------------------------------------------------------------------------