TSTP Solution File: SET676+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 04:39:33 EDT 2022
% Result : Theorem 0.63s 0.83s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET676+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 : n010.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 12:15:15 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.63/0.83 # Version: 1.3
% 0.63/0.83 # SZS status Theorem
% 0.63/0.83 # SZS output start CNFRefutation
% 0.63/0.83 fof(prove_relset_1_41,conjecture,(![B]:(ilf_type(B,set_type)=>ilf_type(cross_product(B,B),identity_relation_of_type(B)))),input).
% 0.63/0.83 fof(c11,negated_conjecture,(~(![B]:(ilf_type(B,set_type)=>ilf_type(cross_product(B,B),identity_relation_of_type(B))))),inference(assume_negation,status(cth),[prove_relset_1_41])).
% 0.63/0.83 fof(c12,negated_conjecture,(?[B]:(ilf_type(B,set_type)&~ilf_type(cross_product(B,B),identity_relation_of_type(B)))),inference(fof_nnf,status(thm),[c11])).
% 0.63/0.83 fof(c13,negated_conjecture,(?[X2]:(ilf_type(X2,set_type)&~ilf_type(cross_product(X2,X2),identity_relation_of_type(X2)))),inference(variable_rename,status(thm),[c12])).
% 0.63/0.83 fof(c14,negated_conjecture,(ilf_type(skolem0001,set_type)&~ilf_type(cross_product(skolem0001,skolem0001),identity_relation_of_type(skolem0001))),inference(skolemize,status(esa),[c13])).
% 0.63/0.83 cnf(c16,negated_conjecture,~ilf_type(cross_product(skolem0001,skolem0001),identity_relation_of_type(skolem0001)),inference(split_conjunct,status(thm),[c14])).
% 0.63/0.83 fof(p19,axiom,(![B]:ilf_type(B,set_type)),input).
% 0.63/0.83 fof(c17,axiom,(![X3]:ilf_type(X3,set_type)),inference(variable_rename,status(thm),[p19])).
% 0.63/0.83 cnf(c18,axiom,ilf_type(X56,set_type),inference(split_conjunct,status(thm),[c17])).
% 0.63/0.83 fof(p1,axiom,(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,set_type)=>ilf_type(cross_product(B,C),relation_type(B,C)))))),input).
% 0.63/0.83 fof(c123,axiom,(![B]:(~ilf_type(B,set_type)|(![C]:(~ilf_type(C,set_type)|ilf_type(cross_product(B,C),relation_type(B,C)))))),inference(fof_nnf,status(thm),[p1])).
% 0.63/0.83 fof(c125,axiom,(![X53]:(![X54]:(~ilf_type(X53,set_type)|(~ilf_type(X54,set_type)|ilf_type(cross_product(X53,X54),relation_type(X53,X54)))))),inference(shift_quantors,status(thm),[fof(c124,axiom,(![X53]:(~ilf_type(X53,set_type)|(![X54]:(~ilf_type(X54,set_type)|ilf_type(cross_product(X53,X54),relation_type(X53,X54)))))),inference(variable_rename,status(thm),[c123])).])).
% 0.63/0.83 cnf(c126,axiom,~ilf_type(X268,set_type)|~ilf_type(X267,set_type)|ilf_type(cross_product(X268,X267),relation_type(X268,X267)),inference(split_conjunct,status(thm),[c125])).
% 0.63/0.83 cnf(c234,plain,~ilf_type(X269,set_type)|ilf_type(cross_product(X269,X270),relation_type(X269,X270)),inference(resolution,status(thm),[c126, c18])).
% 0.63/0.83 cnf(c235,plain,ilf_type(cross_product(X271,X272),relation_type(X271,X272)),inference(resolution,status(thm),[c234, c18])).
% 0.63/0.83 fof(p4,axiom,(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,set_type)=>(ilf_type(C,identity_relation_of_type(B))<=>ilf_type(C,relation_type(B,B))))))),input).
% 0.63/0.83 fof(c102,axiom,(![B]:(~ilf_type(B,set_type)|(![C]:(~ilf_type(C,set_type)|((~ilf_type(C,identity_relation_of_type(B))|ilf_type(C,relation_type(B,B)))&(~ilf_type(C,relation_type(B,B))|ilf_type(C,identity_relation_of_type(B)))))))),inference(fof_nnf,status(thm),[p4])).
% 0.63/0.83 fof(c104,axiom,(![X42]:(![X43]:(~ilf_type(X42,set_type)|(~ilf_type(X43,set_type)|((~ilf_type(X43,identity_relation_of_type(X42))|ilf_type(X43,relation_type(X42,X42)))&(~ilf_type(X43,relation_type(X42,X42))|ilf_type(X43,identity_relation_of_type(X42)))))))),inference(shift_quantors,status(thm),[fof(c103,axiom,(![X42]:(~ilf_type(X42,set_type)|(![X43]:(~ilf_type(X43,set_type)|((~ilf_type(X43,identity_relation_of_type(X42))|ilf_type(X43,relation_type(X42,X42)))&(~ilf_type(X43,relation_type(X42,X42))|ilf_type(X43,identity_relation_of_type(X42)))))))),inference(variable_rename,status(thm),[c102])).])).
% 0.63/0.83 fof(c105,axiom,(![X42]:(![X43]:((~ilf_type(X42,set_type)|(~ilf_type(X43,set_type)|(~ilf_type(X43,identity_relation_of_type(X42))|ilf_type(X43,relation_type(X42,X42)))))&(~ilf_type(X42,set_type)|(~ilf_type(X43,set_type)|(~ilf_type(X43,relation_type(X42,X42))|ilf_type(X43,identity_relation_of_type(X42)))))))),inference(distribute,status(thm),[c104])).
% 0.63/0.83 cnf(c107,axiom,~ilf_type(X306,set_type)|~ilf_type(X305,set_type)|~ilf_type(X305,relation_type(X306,X306))|ilf_type(X305,identity_relation_of_type(X306)),inference(split_conjunct,status(thm),[c105])).
% 0.63/0.83 cnf(c264,plain,~ilf_type(X580,set_type)|~ilf_type(cross_product(X580,X580),set_type)|ilf_type(cross_product(X580,X580),identity_relation_of_type(X580)),inference(resolution,status(thm),[c107, c235])).
% 0.63/0.83 cnf(c487,plain,~ilf_type(X581,set_type)|ilf_type(cross_product(X581,X581),identity_relation_of_type(X581)),inference(resolution,status(thm),[c264, c18])).
% 0.63/0.83 cnf(c488,plain,ilf_type(cross_product(X582,X582),identity_relation_of_type(X582)),inference(resolution,status(thm),[c487, c18])).
% 0.63/0.83 cnf(c489,plain,$false,inference(resolution,status(thm),[c488, c16])).
% 0.63/0.83 # SZS output end CNFRefutation
% 0.63/0.83
% 0.63/0.83 # Initial clauses : 55
% 0.63/0.83 # Processed clauses : 199
% 0.63/0.83 # Factors computed : 1
% 0.63/0.83 # Resolvents computed: 364
% 0.63/0.83 # Tautologies deleted: 8
% 0.63/0.83 # Forward subsumed : 73
% 0.63/0.83 # Backward subsumed : 51
% 0.63/0.83 # -------- CPU Time ---------
% 0.63/0.83 # User time : 0.472 s
% 0.63/0.83 # System time : 0.016 s
% 0.63/0.83 # Total time : 0.488 s
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