%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 17:40:58 EDT 2024
% Result : Theorem 49.02s 49.33s
% Output : Refutation 49.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 11:36:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 49.02/49.33 % Version: 1.5
% 49.02/49.33 % SZS status Theorem
% 49.02/49.33 % SZS output start CNFRefutation
% 49.02/49.33 fof(t14_relset_1,conjecture,(![A]:(![B]:(![C]:(![D]:(relation_of2_as_subset(D,C,A)=>(subset(relation_rng(D),B)=>relation_of2_as_subset(D,C,B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t14_relset_1)).
% 49.02/49.33 fof(c12,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(relation_of2_as_subset(D,C,A)=>(subset(relation_rng(D),B)=>relation_of2_as_subset(D,C,B)))))))),inference(assume_negation,[status(cth)],[t14_relset_1])).
% 49.02/49.33 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(relation_of2_as_subset(D,C,A)&(subset(relation_rng(D),B)&~relation_of2_as_subset(D,C,B))))))),inference(fof_nnf,[status(thm)],[c12])).
% 49.02/49.33 fof(c14,negated_conjecture,(?[X10]:(?[X11]:(?[X12]:(?[X13]:(relation_of2_as_subset(X13,X12,X10)&(subset(relation_rng(X13),X11)&~relation_of2_as_subset(X13,X12,X11))))))),inference(variable_rename,[status(thm)],[c13])).
% 49.02/49.33 fof(c15,negated_conjecture,(relation_of2_as_subset(skolem0004,skolem0003,skolem0001)&(subset(relation_rng(skolem0004),skolem0002)&~relation_of2_as_subset(skolem0004,skolem0003,skolem0002))),inference(skolemize,[status(esa)],[c14])).
% 49.02/49.33 cnf(c18,negated_conjecture,~relation_of2_as_subset(skolem0004,skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 49.02/49.33 fof(redefinition_m2_relset_1,axiom,(![A]:(![B]:(![C]:(relation_of2_as_subset(C,A,B)<=>relation_of2(C,A,B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_m2_relset_1)).
% 49.02/49.33 fof(c30,plain,(![A]:(![B]:(![C]:((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(~relation_of2(C,A,B)|relation_of2_as_subset(C,A,B)))))),inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])).
% 49.02/49.33 fof(c31,plain,((![A]:(![B]:(![C]:(~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))))&(![A]:(![B]:(![C]:(~relation_of2(C,A,B)|relation_of2_as_subset(C,A,B)))))),inference(shift_quantors,[status(thm)],[c30])).
% 49.02/49.33 fof(c33,plain,(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~relation_of2_as_subset(X24,X22,X23)|relation_of2(X24,X22,X23))&(~relation_of2(X27,X25,X26)|relation_of2_as_subset(X27,X25,X26))))))))),inference(shift_quantors,[status(thm)],[fof(c32,plain,((![X22]:(![X23]:(![X24]:(~relation_of2_as_subset(X24,X22,X23)|relation_of2(X24,X22,X23)))))&(![X25]:(![X26]:(![X27]:(~relation_of2(X27,X25,X26)|relation_of2_as_subset(X27,X25,X26)))))),inference(variable_rename,[status(thm)],[c31])).])).
% 49.02/49.33 cnf(c35,plain,~relation_of2(X68,X67,X69)|relation_of2_as_subset(X68,X67,X69),inference(split_conjunct,[status(thm)],[c33])).
% 49.02/49.33 fof(d1_relset_1,axiom,(![A]:(![B]:(![C]:(relation_of2(C,A,B)<=>subset(C,cartesian_product2(A,B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_relset_1)).
% 49.02/49.33 fof(c54,plain,(![A]:(![B]:(![C]:((~relation_of2(C,A,B)|subset(C,cartesian_product2(A,B)))&(~subset(C,cartesian_product2(A,B))|relation_of2(C,A,B)))))),inference(fof_nnf,[status(thm)],[d1_relset_1])).
% 49.02/49.33 fof(c55,plain,((![A]:(![B]:(![C]:(~relation_of2(C,A,B)|subset(C,cartesian_product2(A,B))))))&(![A]:(![B]:(![C]:(~subset(C,cartesian_product2(A,B))|relation_of2(C,A,B)))))),inference(shift_quantors,[status(thm)],[c54])).
% 49.02/49.33 fof(c57,plain,(![X39]:(![X40]:(![X41]:(![X42]:(![X43]:(![X44]:((~relation_of2(X41,X39,X40)|subset(X41,cartesian_product2(X39,X40)))&(~subset(X44,cartesian_product2(X42,X43))|relation_of2(X44,X42,X43))))))))),inference(shift_quantors,[status(thm)],[fof(c56,plain,((![X39]:(![X40]:(![X41]:(~relation_of2(X41,X39,X40)|subset(X41,cartesian_product2(X39,X40))))))&(![X42]:(![X43]:(![X44]:(~subset(X44,cartesian_product2(X42,X43))|relation_of2(X44,X42,X43)))))),inference(variable_rename,[status(thm)],[c55])).])).
% 49.02/49.33 cnf(c59,plain,~subset(X128,cartesian_product2(X127,X129))|relation_of2(X128,X127,X129),inference(split_conjunct,[status(thm)],[c57])).
% 49.02/49.33 fof(t21_relat_1,axiom,(![A]:(relation(A)=>subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_relat_1)).
% 49.02/49.33 fof(c6,plain,(![A]:(~relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))),inference(fof_nnf,[status(thm)],[t21_relat_1])).
% 49.02/49.33 fof(c7,plain,(![X6]:(~relation(X6)|subset(X6,cartesian_product2(relation_dom(X6),relation_rng(X6))))),inference(variable_rename,[status(thm)],[c6])).
% 49.02/49.33 cnf(c8,plain,~relation(X60)|subset(X60,cartesian_product2(relation_dom(X60),relation_rng(X60))),inference(split_conjunct,[status(thm)],[c7])).
% 49.02/49.33 fof(cc1_relset_1,axiom,(![A]:(![B]:(![C]:(element(C,powerset(cartesian_product2(A,B)))=>relation(C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relset_1)).
% 49.02/49.33 fof(c60,plain,(![A]:(![B]:(![C]:(~element(C,powerset(cartesian_product2(A,B)))|relation(C))))),inference(fof_nnf,[status(thm)],[cc1_relset_1])).
% 49.02/49.33 fof(c61,plain,(![X45]:(![X46]:(![X47]:(~element(X47,powerset(cartesian_product2(X45,X46)))|relation(X47))))),inference(variable_rename,[status(thm)],[c60])).
% 49.02/49.33 cnf(c62,plain,~element(X140,powerset(cartesian_product2(X138,X139)))|relation(X140),inference(split_conjunct,[status(thm)],[c61])).
% 49.02/49.33 cnf(c16,negated_conjecture,relation_of2_as_subset(skolem0004,skolem0003,skolem0001),inference(split_conjunct,[status(thm)],[c15])).
% 49.02/49.33 fof(dt_m2_relset_1,axiom,(![A]:(![B]:(![C]:(relation_of2_as_subset(C,A,B)=>element(C,powerset(cartesian_product2(A,B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m2_relset_1)).
% 49.02/49.33 fof(c45,plain,(![A]:(![B]:(![C]:(~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))))),inference(fof_nnf,[status(thm)],[dt_m2_relset_1])).
% 49.02/49.33 fof(c46,plain,(![X36]:(![X37]:(![X38]:(~relation_of2_as_subset(X38,X36,X37)|element(X38,powerset(cartesian_product2(X36,X37))))))),inference(variable_rename,[status(thm)],[c45])).
% 49.02/49.33 cnf(c47,plain,~relation_of2_as_subset(X103,X104,X105)|element(X103,powerset(cartesian_product2(X104,X105))),inference(split_conjunct,[status(thm)],[c46])).
% 49.02/49.33 cnf(c110,plain,element(skolem0004,powerset(cartesian_product2(skolem0003,skolem0001))),inference(resolution,[status(thm)],[c47, c16])).
% 49.02/49.33 cnf(c209,plain,relation(skolem0004),inference(resolution,[status(thm)],[c110, c62])).
% 49.02/49.33 cnf(c211,plain,subset(skolem0004,cartesian_product2(relation_dom(skolem0004),relation_rng(skolem0004))),inference(resolution,[status(thm)],[c209, c8])).
% 49.02/49.33 fof(t1_xboole_1,axiom,(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_xboole_1)).
% 49.02/49.33 fof(c9,plain,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(B,C))|subset(A,C))))),inference(fof_nnf,[status(thm)],[t1_xboole_1])).
% 49.02/49.33 fof(c10,plain,(![X7]:(![X8]:(![X9]:((~subset(X7,X8)|~subset(X8,X9))|subset(X7,X9))))),inference(variable_rename,[status(thm)],[c9])).
% 49.02/49.33 cnf(c11,plain,~subset(X72,X71)|~subset(X71,X70)|subset(X72,X70),inference(split_conjunct,[status(thm)],[c10])).
% 49.02/49.33 fof(t12_relset_1,axiom,(![A]:(![B]:(![C]:(relation_of2_as_subset(C,A,B)=>(subset(relation_dom(C),A)&subset(relation_rng(C),B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_relset_1)).
% 49.02/49.33 fof(c19,plain,(![A]:(![B]:(![C]:(~relation_of2_as_subset(C,A,B)|(subset(relation_dom(C),A)&subset(relation_rng(C),B)))))),inference(fof_nnf,[status(thm)],[t12_relset_1])).
% 49.02/49.33 fof(c20,plain,(![X14]:(![X15]:(![X16]:(~relation_of2_as_subset(X16,X14,X15)|(subset(relation_dom(X16),X14)&subset(relation_rng(X16),X15)))))),inference(variable_rename,[status(thm)],[c19])).
% 49.02/49.33 fof(c21,plain,(![X14]:(![X15]:(![X16]:((~relation_of2_as_subset(X16,X14,X15)|subset(relation_dom(X16),X14))&(~relation_of2_as_subset(X16,X14,X15)|subset(relation_rng(X16),X15)))))),inference(distribute,[status(thm)],[c20])).
% 49.02/49.33 cnf(c22,plain,~relation_of2_as_subset(X81,X82,X80)|subset(relation_dom(X81),X82),inference(split_conjunct,[status(thm)],[c21])).
% 49.02/49.33 cnf(c78,plain,subset(relation_dom(skolem0004),skolem0003),inference(resolution,[status(thm)],[c22, c16])).
% 49.02/49.33 fof(reflexivity_r1_tarski,axiom,(![A]:(![B]:subset(A,A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 49.02/49.33 fof(c27,plain,(![A]:subset(A,A)),inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])).
% 49.02/49.33 fof(c28,plain,(![X21]:subset(X21,X21)),inference(variable_rename,[status(thm)],[c27])).
% 49.02/49.33 cnf(c29,plain,subset(X50,X50),inference(split_conjunct,[status(thm)],[c28])).
% 49.02/49.33 fof(t119_zfmisc_1,axiom,(![A]:(![B]:(![C]:(![D]:((subset(A,B)&subset(C,D))=>subset(cartesian_product2(A,C),cartesian_product2(B,D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t119_zfmisc_1)).
% 49.02/49.33 fof(c24,plain,(![A]:(![B]:(![C]:(![D]:((~subset(A,B)|~subset(C,D))|subset(cartesian_product2(A,C),cartesian_product2(B,D))))))),inference(fof_nnf,[status(thm)],[t119_zfmisc_1])).
% 49.02/49.33 fof(c25,plain,(![X17]:(![X18]:(![X19]:(![X20]:((~subset(X17,X18)|~subset(X19,X20))|subset(cartesian_product2(X17,X19),cartesian_product2(X18,X20))))))),inference(variable_rename,[status(thm)],[c24])).
% 49.02/49.33 cnf(c26,plain,~subset(X99,X98)|~subset(X100,X97)|subset(cartesian_product2(X99,X100),cartesian_product2(X98,X97)),inference(split_conjunct,[status(thm)],[c25])).
% 49.02/49.33 cnf(c98,plain,~subset(X232,X231)|subset(cartesian_product2(X232,X233),cartesian_product2(X231,X233)),inference(resolution,[status(thm)],[c26, c29])).
% 49.02/49.33 cnf(c303,plain,subset(cartesian_product2(relation_dom(skolem0004),X526),cartesian_product2(skolem0003,X526)),inference(resolution,[status(thm)],[c98, c78])).
% 49.02/49.33 cnf(c2441,plain,~subset(X5172,cartesian_product2(relation_dom(skolem0004),X5173))|subset(X5172,cartesian_product2(skolem0003,X5173)),inference(resolution,[status(thm)],[c303, c11])).
% 49.02/49.34 cnf(c56848,plain,subset(skolem0004,cartesian_product2(skolem0003,relation_rng(skolem0004))),inference(resolution,[status(thm)],[c2441, c211])).
% 49.02/49.34 cnf(c17,negated_conjecture,subset(relation_rng(skolem0004),skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 49.02/49.34 cnf(c102,plain,~subset(X287,X286)|subset(cartesian_product2(X287,relation_rng(skolem0004)),cartesian_product2(X286,skolem0002)),inference(resolution,[status(thm)],[c26, c17])).
% 49.02/49.34 cnf(c485,plain,subset(cartesian_product2(X581,relation_rng(skolem0004)),cartesian_product2(X581,skolem0002)),inference(resolution,[status(thm)],[c102, c29])).
% 49.02/49.34 cnf(c3095,plain,~subset(X5941,cartesian_product2(X5940,relation_rng(skolem0004)))|subset(X5941,cartesian_product2(X5940,skolem0002)),inference(resolution,[status(thm)],[c485, c11])).
% 49.02/49.34 cnf(c76832,plain,subset(skolem0004,cartesian_product2(skolem0003,skolem0002)),inference(resolution,[status(thm)],[c3095, c56848])).
% 49.02/49.34 cnf(c76898,plain,relation_of2(skolem0004,skolem0003,skolem0002),inference(resolution,[status(thm)],[c76832, c59])).
% 49.02/49.34 cnf(c76984,plain,relation_of2_as_subset(skolem0004,skolem0003,skolem0002),inference(resolution,[status(thm)],[c76898, c35])).
% 49.02/49.34 cnf(c76987,plain,$false,inference(resolution,[status(thm)],[c76984, c18])).
% 49.02/49.34 % SZS output end CNFRefutation
% 49.02/49.34
% 49.02/49.34 % Initial clauses : 26
% 49.02/49.34 % Processed clauses : 1880
% 49.02/49.34 % Factors computed : 2
% 49.02/49.34 % Resolvents computed: 76926
% 49.02/49.34 % Tautologies deleted: 2
% 49.02/49.34 % Forward subsumed : 976
% 49.02/49.34 % Backward subsumed : 7
% 49.02/49.34 % -------- CPU Time ---------
% 49.02/49.34 % User time : 48.728 s
% 49.02/49.34 % System time : 0.163 s
% 49.02/49.34 % Total time : 48.891 s
%------------------------------------------------------------------------------