TSTP Solution File: SEU263+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 13:36:54 EDT 2022
% Result : Theorem 48.75s 48.95s
% Output : Refutation 48.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 20:40:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 48.75/48.95 # Version: 1.3
% 48.75/48.95 # SZS status Theorem
% 48.75/48.95 # SZS output start CNFRefutation
% 48.75/48.95 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))))))),input).
% 48.75/48.95 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])).
% 48.75/48.95 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])).
% 48.75/48.95 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])).
% 48.75/48.95 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])).
% 48.75/48.95 cnf(c18,negated_conjecture,~relation_of2_as_subset(skolem0004,skolem0003,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 48.75/48.95 fof(redefinition_m2_relset_1,axiom,(![A]:(![B]:(![C]:(relation_of2_as_subset(C,A,B)<=>relation_of2(C,A,B))))),input).
% 48.75/48.95 fof(c30,axiom,(![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])).
% 48.75/48.95 fof(c31,axiom,((![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])).
% 48.75/48.95 fof(c33,axiom,(![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,axiom,((![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])).])).
% 48.75/48.95 cnf(c35,axiom,~relation_of2(X68,X67,X69)|relation_of2_as_subset(X68,X67,X69),inference(split_conjunct,status(thm),[c33])).
% 48.75/48.95 fof(d1_relset_1,axiom,(![A]:(![B]:(![C]:(relation_of2(C,A,B)<=>subset(C,cartesian_product2(A,B)))))),input).
% 48.75/48.95 fof(c54,axiom,(![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])).
% 48.75/48.95 fof(c55,axiom,((![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])).
% 48.75/48.95 fof(c57,axiom,(![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,axiom,((![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])).])).
% 48.75/48.95 cnf(c59,axiom,~subset(X127,cartesian_product2(X128,X126))|relation_of2(X127,X128,X126),inference(split_conjunct,status(thm),[c57])).
% 48.75/48.95 fof(t21_relat_1,axiom,(![A]:(relation(A)=>subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))),input).
% 48.75/48.95 fof(c6,axiom,(![A]:(~relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))),inference(fof_nnf,status(thm),[t21_relat_1])).
% 48.75/48.95 fof(c7,axiom,(![X6]:(~relation(X6)|subset(X6,cartesian_product2(relation_dom(X6),relation_rng(X6))))),inference(variable_rename,status(thm),[c6])).
% 48.75/48.95 cnf(c8,axiom,~relation(X60)|subset(X60,cartesian_product2(relation_dom(X60),relation_rng(X60))),inference(split_conjunct,status(thm),[c7])).
% 48.75/48.95 fof(cc1_relset_1,axiom,(![A]:(![B]:(![C]:(element(C,powerset(cartesian_product2(A,B)))=>relation(C))))),input).
% 48.75/48.95 fof(c60,axiom,(![A]:(![B]:(![C]:(~element(C,powerset(cartesian_product2(A,B)))|relation(C))))),inference(fof_nnf,status(thm),[cc1_relset_1])).
% 48.75/48.95 fof(c61,axiom,(![X45]:(![X46]:(![X47]:(~element(X47,powerset(cartesian_product2(X45,X46)))|relation(X47))))),inference(variable_rename,status(thm),[c60])).
% 48.75/48.95 cnf(c62,axiom,~element(X131,powerset(cartesian_product2(X130,X129)))|relation(X131),inference(split_conjunct,status(thm),[c61])).
% 48.75/48.95 cnf(c16,negated_conjecture,relation_of2_as_subset(skolem0004,skolem0003,skolem0001),inference(split_conjunct,status(thm),[c15])).
% 48.75/48.95 fof(dt_m2_relset_1,axiom,(![A]:(![B]:(![C]:(relation_of2_as_subset(C,A,B)=>element(C,powerset(cartesian_product2(A,B))))))),input).
% 48.75/48.95 fof(c45,axiom,(![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])).
% 48.75/48.95 fof(c46,axiom,(![X36]:(![X37]:(![X38]:(~relation_of2_as_subset(X38,X36,X37)|element(X38,powerset(cartesian_product2(X36,X37))))))),inference(variable_rename,status(thm),[c45])).
% 48.75/48.95 cnf(c47,axiom,~relation_of2_as_subset(X104,X105,X106)|element(X104,powerset(cartesian_product2(X105,X106))),inference(split_conjunct,status(thm),[c46])).
% 48.75/48.95 cnf(c110,plain,element(skolem0004,powerset(cartesian_product2(skolem0003,skolem0001))),inference(resolution,status(thm),[c47, c16])).
% 48.75/48.95 cnf(c237,plain,relation(skolem0004),inference(resolution,status(thm),[c110, c62])).
% 48.75/48.95 cnf(c239,plain,subset(skolem0004,cartesian_product2(relation_dom(skolem0004),relation_rng(skolem0004))),inference(resolution,status(thm),[c237, c8])).
% 48.75/48.95 fof(t1_xboole_1,axiom,(![A]:(![B]:(![C]:((subset(A,B)&subset(B,C))=>subset(A,C))))),input).
% 48.75/48.95 fof(c9,axiom,(![A]:(![B]:(![C]:((~subset(A,B)|~subset(B,C))|subset(A,C))))),inference(fof_nnf,status(thm),[t1_xboole_1])).
% 48.75/48.95 fof(c10,axiom,(![X7]:(![X8]:(![X9]:((~subset(X7,X8)|~subset(X8,X9))|subset(X7,X9))))),inference(variable_rename,status(thm),[c9])).
% 48.75/48.95 cnf(c11,axiom,~subset(X70,X72)|~subset(X72,X71)|subset(X70,X71),inference(split_conjunct,status(thm),[c10])).
% 48.75/48.95 fof(reflexivity_r1_tarski,axiom,(![A]:(![B]:subset(A,A))),input).
% 48.75/48.95 fof(c27,axiom,(![A]:subset(A,A)),inference(fof_simplification,status(thm),[reflexivity_r1_tarski])).
% 48.75/48.95 fof(c28,axiom,(![X21]:subset(X21,X21)),inference(variable_rename,status(thm),[c27])).
% 48.75/48.95 cnf(c29,axiom,subset(X50,X50),inference(split_conjunct,status(thm),[c28])).
% 48.75/48.95 cnf(c17,negated_conjecture,subset(relation_rng(skolem0004),skolem0002),inference(split_conjunct,status(thm),[c15])).
% 48.75/48.95 fof(t119_zfmisc_1,axiom,(![A]:(![B]:(![C]:(![D]:((subset(A,B)&subset(C,D))=>subset(cartesian_product2(A,C),cartesian_product2(B,D))))))),input).
% 48.75/48.95 fof(c24,axiom,(![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])).
% 48.75/48.95 fof(c25,axiom,(![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])).
% 48.75/48.95 cnf(c26,axiom,~subset(X96,X97)|~subset(X98,X99)|subset(cartesian_product2(X96,X98),cartesian_product2(X97,X99)),inference(split_conjunct,status(thm),[c25])).
% 48.75/48.95 cnf(c100,plain,~subset(X254,X255)|subset(cartesian_product2(X254,relation_rng(skolem0004)),cartesian_product2(X255,skolem0002)),inference(resolution,status(thm),[c26, c17])).
% 48.75/48.95 cnf(c360,plain,subset(cartesian_product2(X502,relation_rng(skolem0004)),cartesian_product2(X502,skolem0002)),inference(resolution,status(thm),[c100, c29])).
% 48.75/48.95 cnf(c2262,plain,~subset(X5096,cartesian_product2(X5097,relation_rng(skolem0004)))|subset(X5096,cartesian_product2(X5097,skolem0002)),inference(resolution,status(thm),[c360, c11])).
% 48.75/48.95 cnf(c51966,plain,subset(skolem0004,cartesian_product2(relation_dom(skolem0004),skolem0002)),inference(resolution,status(thm),[c2262, c239])).
% 48.75/48.95 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)))))),input).
% 48.75/48.95 fof(c19,axiom,(![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])).
% 48.75/48.95 fof(c20,axiom,(![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])).
% 48.75/48.95 fof(c21,axiom,(![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])).
% 48.75/48.95 cnf(c22,axiom,~relation_of2_as_subset(X81,X82,X83)|subset(relation_dom(X81),X82),inference(split_conjunct,status(thm),[c21])).
% 48.75/48.95 cnf(c79,plain,subset(relation_dom(skolem0004),skolem0003),inference(resolution,status(thm),[c22, c16])).
% 48.75/48.95 cnf(c104,plain,~subset(X300,X301)|subset(cartesian_product2(X300,X299),cartesian_product2(X301,X299)),inference(resolution,status(thm),[c26, c29])).
% 48.75/48.95 cnf(c643,plain,subset(cartesian_product2(relation_dom(skolem0004),X599),cartesian_product2(skolem0003,X599)),inference(resolution,status(thm),[c104, c79])).
% 48.75/48.95 cnf(c2916,plain,~subset(X5967,cartesian_product2(relation_dom(skolem0004),X5968))|subset(X5967,cartesian_product2(skolem0003,X5968)),inference(resolution,status(thm),[c643, c11])).
% 48.75/48.95 cnf(c72522,plain,subset(skolem0004,cartesian_product2(skolem0003,skolem0002)),inference(resolution,status(thm),[c2916, c51966])).
% 48.75/48.95 cnf(c72954,plain,relation_of2(skolem0004,skolem0003,skolem0002),inference(resolution,status(thm),[c72522, c59])).
% 48.75/48.95 cnf(c72987,plain,relation_of2_as_subset(skolem0004,skolem0003,skolem0002),inference(resolution,status(thm),[c72954, c35])).
% 48.75/48.95 cnf(c73037,plain,$false,inference(resolution,status(thm),[c72987, c18])).
% 48.75/48.95 # SZS output end CNFRefutation
% 48.75/48.95
% 48.75/48.95 # Initial clauses : 26
% 48.75/48.95 # Processed clauses : 1862
% 48.75/48.95 # Factors computed : 0
% 48.75/48.95 # Resolvents computed: 72977
% 48.75/48.95 # Tautologies deleted: 1
% 48.75/48.95 # Forward subsumed : 958
% 48.75/48.95 # Backward subsumed : 0
% 48.75/48.95 # -------- CPU Time ---------
% 48.75/48.95 # User time : 48.468 s
% 48.75/48.95 # System time : 0.155 s
% 48.75/48.95 # Total time : 48.623 s
%------------------------------------------------------------------------------