%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM388+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:35:42 EDT 2024
% Result : Theorem 0.91s 1.11s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM388+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.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 16:56:07 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.91/1.11 % Version: 1.5
% 0.91/1.11 % SZS status Theorem
% 0.91/1.11 % SZS output start CNFRefutation
% 0.91/1.11 fof(t19_ordinal1,conjecture,(![A]:(ordinal(A)=>(![B]:(ordinal(B)=>(![C]:(epsilon_transitive(C)=>((in(C,A)&in(A,B))=>in(C,B)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t19_ordinal1)).
% 0.91/1.11 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])).
% 0.91/1.11 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])).
% 0.91/1.11 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])).
% 0.91/1.11 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])).
% 0.91/1.11 cnf(c48,negated_conjecture,in(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c43])).
% 0.91/1.11 fof(t7_boole,axiom,(![A]:(![B]:(~(in(A,B)&empty(B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_boole)).
% 0.91/1.11 fof(c16,plain,(![A]:(![B]:(~in(A,B)|~empty(B)))),inference(fof_nnf,[status(thm)],[t7_boole])).
% 0.91/1.11 fof(c17,plain,(![X4]:(![X5]:(~in(X4,X5)|~empty(X5)))),inference(variable_rename,[status(thm)],[c16])).
% 0.91/1.11 cnf(c18,plain,~in(X97,X98)|~empty(X98),inference(split_conjunct,[status(thm)],[c17])).
% 0.91/1.11 cnf(c173,plain,~empty(skolem0002),inference(resolution,[status(thm)],[c18, c48])).
% 0.91/1.11 cnf(c49,negated_conjecture,~in(skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c43])).
% 0.91/1.11 fof(t2_subset,axiom,(![A]:(![B]:(element(A,B)=>(empty(B)|in(A,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_subset)).
% 0.91/1.11 fof(c34,plain,(![A]:(![B]:(~element(A,B)|(empty(B)|in(A,B))))),inference(fof_nnf,[status(thm)],[t2_subset])).
% 0.91/1.11 fof(c35,plain,(![X17]:(![X18]:(~element(X17,X18)|(empty(X18)|in(X17,X18))))),inference(variable_rename,[status(thm)],[c34])).
% 0.91/1.11 cnf(c36,plain,~element(X132,X133)|empty(X133)|in(X132,X133),inference(split_conjunct,[status(thm)],[c35])).
% 0.91/1.11 cnf(c47,negated_conjecture,in(skolem0003,skolem0001),inference(split_conjunct,[status(thm)],[c43])).
% 0.91/1.11 fof(t4_subset,axiom,(![A]:(![B]:(![C]:((in(A,B)&element(B,powerset(C)))=>element(A,C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_subset)).
% 0.91/1.11 fof(c25,plain,(![A]:(![B]:(![C]:((~in(A,B)|~element(B,powerset(C)))|element(A,C))))),inference(fof_nnf,[status(thm)],[t4_subset])).
% 0.91/1.11 fof(c26,plain,(![X10]:(![X11]:(![X12]:((~in(X10,X11)|~element(X11,powerset(X12)))|element(X10,X12))))),inference(variable_rename,[status(thm)],[c25])).
% 0.91/1.11 cnf(c27,plain,~in(X119,X118)|~element(X118,powerset(X117))|element(X119,X117),inference(split_conjunct,[status(thm)],[c26])).
% 0.91/1.11 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_subset)).
% 0.91/1.11 fof(c28,plain,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,[status(thm)],[t3_subset])).
% 0.91/1.11 fof(c29,plain,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,[status(thm)],[c28])).
% 0.91/1.11 fof(c31,plain,(![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,plain,((![X13]:(![X14]:(~element(X13,powerset(X14))|subset(X13,X14))))&(![X15]:(![X16]:(~subset(X15,X16)|element(X15,powerset(X16)))))),inference(variable_rename,[status(thm)],[c29])).])).
% 0.91/1.11 cnf(c33,plain,~subset(X126,X127)|element(X126,powerset(X127)),inference(split_conjunct,[status(thm)],[c31])).
% 0.91/1.11 cnf(c45,negated_conjecture,ordinal(skolem0002),inference(split_conjunct,[status(thm)],[c43])).
% 0.91/1.11 fof(cc1_ordinal1,axiom,(![A]:(ordinal(A)=>(epsilon_transitive(A)&epsilon_connected(A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_ordinal1)).
% 0.91/1.11 fof(c132,plain,(![A]:(~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),inference(fof_nnf,[status(thm)],[cc1_ordinal1])).
% 0.91/1.11 fof(c133,plain,(![X45]:(~ordinal(X45)|(epsilon_transitive(X45)&epsilon_connected(X45)))),inference(variable_rename,[status(thm)],[c132])).
% 0.91/1.11 fof(c134,plain,(![X45]:((~ordinal(X45)|epsilon_transitive(X45))&(~ordinal(X45)|epsilon_connected(X45)))),inference(distribute,[status(thm)],[c133])).
% 0.91/1.11 cnf(c135,plain,~ordinal(X75)|epsilon_transitive(X75),inference(split_conjunct,[status(thm)],[c134])).
% 0.91/1.11 cnf(c160,plain,epsilon_transitive(skolem0002),inference(resolution,[status(thm)],[c135, c45])).
% 0.91/1.11 fof(d2_ordinal1,axiom,(![A]:(epsilon_transitive(A)<=>(![B]:(in(B,A)=>subset(B,A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_ordinal1)).
% 0.91/1.11 fof(c111,plain,(![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])).
% 0.91/1.11 fof(c112,plain,((![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])).
% 0.91/1.11 fof(c113,plain,((![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])).
% 0.91/1.11 fof(c115,plain,(![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,plain,((![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])).])).
% 0.91/1.11 fof(c116,plain,(![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])).
% 0.91/1.11 cnf(c117,plain,~epsilon_transitive(X134)|~in(X135,X134)|subset(X135,X134),inference(split_conjunct,[status(thm)],[c116])).
% 0.91/1.11 cnf(c277,plain,~epsilon_transitive(skolem0002)|subset(skolem0001,skolem0002),inference(resolution,[status(thm)],[c117, c48])).
% 0.91/1.11 cnf(c599,plain,subset(skolem0001,skolem0002),inference(resolution,[status(thm)],[c277, c160])).
% 0.91/1.11 cnf(c601,plain,element(skolem0001,powerset(skolem0002)),inference(resolution,[status(thm)],[c599, c33])).
% 0.91/1.11 cnf(c697,plain,~in(X267,skolem0001)|element(X267,skolem0002),inference(resolution,[status(thm)],[c601, c27])).
% 0.91/1.11 cnf(c1232,plain,element(skolem0003,skolem0002),inference(resolution,[status(thm)],[c697, c47])).
% 0.91/1.11 cnf(c1239,plain,empty(skolem0002)|in(skolem0003,skolem0002),inference(resolution,[status(thm)],[c1232, c36])).
% 0.91/1.11 cnf(c1646,plain,empty(skolem0002),inference(resolution,[status(thm)],[c1239, c49])).
% 0.91/1.11 cnf(c1659,plain,$false,inference(resolution,[status(thm)],[c1646, c173])).
% 0.91/1.11 % SZS output end CNFRefutation
% 0.91/1.11
% 0.91/1.11 % Initial clauses : 76
% 0.91/1.11 % Processed clauses : 403
% 0.91/1.11 % Factors computed : 4
% 0.91/1.11 % Resolvents computed: 1515
% 0.91/1.11 % Tautologies deleted: 16
% 0.91/1.11 % Forward subsumed : 353
% 0.91/1.11 % Backward subsumed : 24
% 0.91/1.11 % -------- CPU Time ---------
% 0.91/1.11 % User time : 0.748 s
% 0.91/1.11 % System time : 0.019 s
% 0.91/1.11 % Total time : 0.767 s
%------------------------------------------------------------------------------