TSTP Solution File: SET664+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET664+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 04:39:28 EDT 2022
% Result : Theorem 48.11s 48.32s
% Output : Refutation 48.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET664+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n007.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 : 600
% 0.13/0.34 % DateTime : Sun Jul 10 10:49:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 48.11/48.32 # Version: 1.3
% 48.11/48.32 # SZS status Theorem
% 48.11/48.32 # SZS output start CNFRefutation
% 48.11/48.32 fof(prove_relset_1_27,conjecture,(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,set_type)=>(![D]:(ilf_type(D,relation_type(C,B))=>(ilf_type(D,relation_type(C,empty_set))=>D=empty_set))))))),input).
% 48.11/48.32 fof(c16,negated_conjecture,(~(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,set_type)=>(![D]:(ilf_type(D,relation_type(C,B))=>(ilf_type(D,relation_type(C,empty_set))=>D=empty_set)))))))),inference(assume_negation,status(cth),[prove_relset_1_27])).
% 48.11/48.32 fof(c17,negated_conjecture,(?[B]:(ilf_type(B,set_type)&(?[C]:(ilf_type(C,set_type)&(?[D]:(ilf_type(D,relation_type(C,B))&(ilf_type(D,relation_type(C,empty_set))&D!=empty_set))))))),inference(fof_nnf,status(thm),[c16])).
% 48.11/48.32 fof(c18,negated_conjecture,(?[X2]:(ilf_type(X2,set_type)&(?[X3]:(ilf_type(X3,set_type)&(?[X4]:(ilf_type(X4,relation_type(X3,X2))&(ilf_type(X4,relation_type(X3,empty_set))&X4!=empty_set))))))),inference(variable_rename,status(thm),[c17])).
% 48.11/48.32 fof(c19,negated_conjecture,(ilf_type(skolem0001,set_type)&(ilf_type(skolem0002,set_type)&(ilf_type(skolem0003,relation_type(skolem0002,skolem0001))&(ilf_type(skolem0003,relation_type(skolem0002,empty_set))&skolem0003!=empty_set)))),inference(skolemize,status(esa),[c18])).
% 48.11/48.32 cnf(c24,negated_conjecture,skolem0003!=empty_set,inference(split_conjunct,status(thm),[c19])).
% 48.11/48.32 fof(p33,axiom,(![B]:ilf_type(B,set_type)),input).
% 48.11/48.32 fof(c25,axiom,(![X5]:ilf_type(X5,set_type)),inference(variable_rename,status(thm),[p33])).
% 48.11/48.32 cnf(c26,axiom,ilf_type(X81,set_type),inference(split_conjunct,status(thm),[c25])).
% 48.11/48.32 fof(p13,axiom,(![B]:(ilf_type(B,set_type)=>(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),input).
% 48.11/48.32 fof(c129,axiom,(![B]:(~ilf_type(B,set_type)|((~ilf_type(B,binary_relation_type)|(relation_like(B)&ilf_type(B,set_type)))&((~relation_like(B)|~ilf_type(B,set_type))|ilf_type(B,binary_relation_type))))),inference(fof_nnf,status(thm),[p13])).
% 48.11/48.32 fof(c130,axiom,(![X54]:(~ilf_type(X54,set_type)|((~ilf_type(X54,binary_relation_type)|(relation_like(X54)&ilf_type(X54,set_type)))&((~relation_like(X54)|~ilf_type(X54,set_type))|ilf_type(X54,binary_relation_type))))),inference(variable_rename,status(thm),[c129])).
% 48.11/48.32 fof(c131,axiom,(![X54]:(((~ilf_type(X54,set_type)|(~ilf_type(X54,binary_relation_type)|relation_like(X54)))&(~ilf_type(X54,set_type)|(~ilf_type(X54,binary_relation_type)|ilf_type(X54,set_type))))&(~ilf_type(X54,set_type)|((~relation_like(X54)|~ilf_type(X54,set_type))|ilf_type(X54,binary_relation_type))))),inference(distribute,status(thm),[c130])).
% 48.11/48.32 cnf(c134,axiom,~ilf_type(X257,set_type)|~relation_like(X257)|~ilf_type(X257,set_type)|ilf_type(X257,binary_relation_type),inference(split_conjunct,status(thm),[c131])).
% 48.11/48.32 cnf(c269,plain,~ilf_type(X258,set_type)|~relation_like(X258)|ilf_type(X258,binary_relation_type),inference(resolution,status(thm),[c134, c26])).
% 48.11/48.32 cnf(c270,plain,~relation_like(X261)|ilf_type(X261,binary_relation_type),inference(resolution,status(thm),[c269, c26])).
% 48.11/48.32 fof(p28,axiom,(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,set_type)=>(![D]:(ilf_type(D,subset_type(cross_product(B,C)))=>relation_like(D))))))),input).
% 48.11/48.32 fof(c43,axiom,(![B]:(~ilf_type(B,set_type)|(![C]:(~ilf_type(C,set_type)|(![D]:(~ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D))))))),inference(fof_nnf,status(thm),[p28])).
% 48.11/48.32 fof(c45,axiom,(![X18]:(![X19]:(![X20]:(~ilf_type(X18,set_type)|(~ilf_type(X19,set_type)|(~ilf_type(X20,subset_type(cross_product(X18,X19)))|relation_like(X20))))))),inference(shift_quantors,status(thm),[fof(c44,axiom,(![X18]:(~ilf_type(X18,set_type)|(![X19]:(~ilf_type(X19,set_type)|(![X20]:(~ilf_type(X20,subset_type(cross_product(X18,X19)))|relation_like(X20))))))),inference(variable_rename,status(thm),[c43])).])).
% 48.11/48.32 cnf(c46,axiom,~ilf_type(X251,set_type)|~ilf_type(X252,set_type)|~ilf_type(X250,subset_type(cross_product(X251,X252)))|relation_like(X250),inference(split_conjunct,status(thm),[c45])).
% 48.11/48.32 cnf(c23,negated_conjecture,ilf_type(skolem0003,relation_type(skolem0002,empty_set)),inference(split_conjunct,status(thm),[c19])).
% 48.11/48.32 fof(p6,axiom,(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,set_type)=>((![D]:(ilf_type(D,subset_type(cross_product(B,C)))=>ilf_type(D,relation_type(B,C))))&(![E]:(ilf_type(E,relation_type(B,C))=>ilf_type(E,subset_type(cross_product(B,C)))))))))),input).
% 48.11/48.32 fof(c165,axiom,(![B]:(~ilf_type(B,set_type)|(![C]:(~ilf_type(C,set_type)|((![D]:(~ilf_type(D,subset_type(cross_product(B,C)))|ilf_type(D,relation_type(B,C))))&(![E]:(~ilf_type(E,relation_type(B,C))|ilf_type(E,subset_type(cross_product(B,C)))))))))),inference(fof_nnf,status(thm),[p6])).
% 48.11/48.32 fof(c167,axiom,(![X70]:(![X71]:(![X72]:(![X73]:(~ilf_type(X70,set_type)|(~ilf_type(X71,set_type)|((~ilf_type(X72,subset_type(cross_product(X70,X71)))|ilf_type(X72,relation_type(X70,X71)))&(~ilf_type(X73,relation_type(X70,X71))|ilf_type(X73,subset_type(cross_product(X70,X71))))))))))),inference(shift_quantors,status(thm),[fof(c166,axiom,(![X70]:(~ilf_type(X70,set_type)|(![X71]:(~ilf_type(X71,set_type)|((![X72]:(~ilf_type(X72,subset_type(cross_product(X70,X71)))|ilf_type(X72,relation_type(X70,X71))))&(![X73]:(~ilf_type(X73,relation_type(X70,X71))|ilf_type(X73,subset_type(cross_product(X70,X71)))))))))),inference(variable_rename,status(thm),[c165])).])).
% 48.11/48.32 fof(c168,axiom,(![X70]:(![X71]:(![X72]:(![X73]:((~ilf_type(X70,set_type)|(~ilf_type(X71,set_type)|(~ilf_type(X72,subset_type(cross_product(X70,X71)))|ilf_type(X72,relation_type(X70,X71)))))&(~ilf_type(X70,set_type)|(~ilf_type(X71,set_type)|(~ilf_type(X73,relation_type(X70,X71))|ilf_type(X73,subset_type(cross_product(X70,X71))))))))))),inference(distribute,status(thm),[c167])).
% 48.11/48.32 cnf(c170,axiom,~ilf_type(X459,set_type)|~ilf_type(X461,set_type)|~ilf_type(X460,relation_type(X459,X461))|ilf_type(X460,subset_type(cross_product(X459,X461))),inference(split_conjunct,status(thm),[c168])).
% 48.11/48.32 cnf(c748,plain,~ilf_type(skolem0002,set_type)|~ilf_type(empty_set,set_type)|ilf_type(skolem0003,subset_type(cross_product(skolem0002,empty_set))),inference(resolution,status(thm),[c170, c23])).
% 48.11/48.32 cnf(c47850,plain,~ilf_type(skolem0002,set_type)|ilf_type(skolem0003,subset_type(cross_product(skolem0002,empty_set))),inference(resolution,status(thm),[c748, c26])).
% 48.11/48.32 cnf(c47851,plain,ilf_type(skolem0003,subset_type(cross_product(skolem0002,empty_set))),inference(resolution,status(thm),[c47850, c26])).
% 48.11/48.32 cnf(c47854,plain,~ilf_type(skolem0002,set_type)|~ilf_type(empty_set,set_type)|relation_like(skolem0003),inference(resolution,status(thm),[c47851, c46])).
% 48.11/48.32 cnf(c47856,plain,~ilf_type(skolem0002,set_type)|relation_like(skolem0003),inference(resolution,status(thm),[c47854, c26])).
% 48.11/48.32 cnf(c47857,plain,relation_like(skolem0003),inference(resolution,status(thm),[c47856, c26])).
% 48.11/48.32 cnf(c47858,plain,ilf_type(skolem0003,binary_relation_type),inference(resolution,status(thm),[c47857, c270])).
% 48.11/48.32 fof(p2,axiom,(![B]:(ilf_type(B,binary_relation_type)=>((domain_of(B)=empty_set|range_of(B)=empty_set)=>B=empty_set))),input).
% 48.11/48.32 fof(c183,axiom,(![B]:(~ilf_type(B,binary_relation_type)|((domain_of(B)!=empty_set&range_of(B)!=empty_set)|B=empty_set))),inference(fof_nnf,status(thm),[p2])).
% 48.11/48.32 fof(c184,axiom,(![X78]:(~ilf_type(X78,binary_relation_type)|((domain_of(X78)!=empty_set&range_of(X78)!=empty_set)|X78=empty_set))),inference(variable_rename,status(thm),[c183])).
% 48.11/48.32 fof(c185,axiom,(![X78]:((~ilf_type(X78,binary_relation_type)|(domain_of(X78)!=empty_set|X78=empty_set))&(~ilf_type(X78,binary_relation_type)|(range_of(X78)!=empty_set|X78=empty_set)))),inference(distribute,status(thm),[c184])).
% 48.11/48.32 cnf(c187,axiom,~ilf_type(X228,binary_relation_type)|range_of(X228)!=empty_set|X228=empty_set,inference(split_conjunct,status(thm),[c185])).
% 48.11/48.32 fof(p1,axiom,(![B]:(ilf_type(B,set_type)=>(subset(B,empty_set)=>B=empty_set))),input).
% 48.11/48.32 fof(c188,axiom,(![B]:(~ilf_type(B,set_type)|(~subset(B,empty_set)|B=empty_set))),inference(fof_nnf,status(thm),[p1])).
% 48.11/48.32 fof(c189,axiom,(![X79]:(~ilf_type(X79,set_type)|(~subset(X79,empty_set)|X79=empty_set))),inference(variable_rename,status(thm),[c188])).
% 48.11/48.32 cnf(c190,axiom,~ilf_type(X204,set_type)|~subset(X204,empty_set)|X204=empty_set,inference(split_conjunct,status(thm),[c189])).
% 48.11/48.32 fof(p3,axiom,(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,set_type)=>(![D]:(ilf_type(D,relation_type(B,C))=>(subset(domain_of(D),B)&subset(range_of(D),C)))))))),input).
% 48.11/48.32 fof(c177,axiom,(![B]:(~ilf_type(B,set_type)|(![C]:(~ilf_type(C,set_type)|(![D]:(~ilf_type(D,relation_type(B,C))|(subset(domain_of(D),B)&subset(range_of(D),C)))))))),inference(fof_nnf,status(thm),[p3])).
% 48.11/48.32 fof(c179,axiom,(![X75]:(![X76]:(![X77]:(~ilf_type(X75,set_type)|(~ilf_type(X76,set_type)|(~ilf_type(X77,relation_type(X75,X76))|(subset(domain_of(X77),X75)&subset(range_of(X77),X76)))))))),inference(shift_quantors,status(thm),[fof(c178,axiom,(![X75]:(~ilf_type(X75,set_type)|(![X76]:(~ilf_type(X76,set_type)|(![X77]:(~ilf_type(X77,relation_type(X75,X76))|(subset(domain_of(X77),X75)&subset(range_of(X77),X76)))))))),inference(variable_rename,status(thm),[c177])).])).
% 48.11/48.32 fof(c180,axiom,(![X75]:(![X76]:(![X77]:((~ilf_type(X75,set_type)|(~ilf_type(X76,set_type)|(~ilf_type(X77,relation_type(X75,X76))|subset(domain_of(X77),X75))))&(~ilf_type(X75,set_type)|(~ilf_type(X76,set_type)|(~ilf_type(X77,relation_type(X75,X76))|subset(range_of(X77),X76)))))))),inference(distribute,status(thm),[c179])).
% 48.11/48.32 cnf(c182,axiom,~ilf_type(X477,set_type)|~ilf_type(X478,set_type)|~ilf_type(X479,relation_type(X477,X478))|subset(range_of(X479),X478),inference(split_conjunct,status(thm),[c180])).
% 48.11/48.32 cnf(c961,plain,~ilf_type(skolem0002,set_type)|~ilf_type(empty_set,set_type)|subset(range_of(skolem0003),empty_set),inference(resolution,status(thm),[c182, c23])).
% 48.11/48.32 cnf(c72057,plain,~ilf_type(skolem0002,set_type)|subset(range_of(skolem0003),empty_set),inference(resolution,status(thm),[c961, c26])).
% 48.11/48.32 cnf(c72058,plain,subset(range_of(skolem0003),empty_set),inference(resolution,status(thm),[c72057, c26])).
% 48.11/48.32 cnf(c72060,plain,~ilf_type(range_of(skolem0003),set_type)|range_of(skolem0003)=empty_set,inference(resolution,status(thm),[c72058, c190])).
% 48.11/48.32 cnf(c72660,plain,range_of(skolem0003)=empty_set,inference(resolution,status(thm),[c72060, c26])).
% 48.11/48.32 cnf(c72813,plain,~ilf_type(skolem0003,binary_relation_type)|skolem0003=empty_set,inference(resolution,status(thm),[c72660, c187])).
% 48.11/48.32 cnf(c74168,plain,skolem0003=empty_set,inference(resolution,status(thm),[c72813, c47858])).
% 48.11/48.32 cnf(c74274,plain,$false,inference(resolution,status(thm),[c74168, c24])).
% 48.11/48.32 # SZS output end CNFRefutation
% 48.11/48.32
% 48.11/48.32 # Initial clauses : 84
% 48.11/48.32 # Processed clauses : 1724
% 48.11/48.32 # Factors computed : 19
% 48.11/48.32 # Resolvents computed: 74127
% 48.11/48.32 # Tautologies deleted: 11
% 48.11/48.32 # Forward subsumed : 1329
% 48.11/48.32 # Backward subsumed : 154
% 48.11/48.32 # -------- CPU Time ---------
% 48.11/48.32 # User time : 47.776 s
% 48.11/48.32 # System time : 0.170 s
% 48.11/48.32 # Total time : 47.946 s
%------------------------------------------------------------------------------