TSTP Solution File: SET658+3 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 04:39:26 EDT 2022
% Result : Theorem 0.84s 1.06s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n021.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 : Sat Jul 9 20:49:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.06 # Version: 1.3
% 0.84/1.06 # SZS status Theorem
% 0.84/1.06 # SZS output start CNFRefutation
% 0.84/1.06 fof(prove_relset_1_20,conjecture,(![B]:(ilf_type(B,binary_relation_type)=>ilf_type(B,relation_type(domain_of(B),range_of(B))))),input).
% 0.84/1.06 fof(c15,negated_conjecture,(~(![B]:(ilf_type(B,binary_relation_type)=>ilf_type(B,relation_type(domain_of(B),range_of(B)))))),inference(assume_negation,status(cth),[prove_relset_1_20])).
% 0.84/1.06 fof(c16,negated_conjecture,(?[B]:(ilf_type(B,binary_relation_type)&~ilf_type(B,relation_type(domain_of(B),range_of(B))))),inference(fof_nnf,status(thm),[c15])).
% 0.84/1.06 fof(c17,negated_conjecture,(?[X2]:(ilf_type(X2,binary_relation_type)&~ilf_type(X2,relation_type(domain_of(X2),range_of(X2))))),inference(variable_rename,status(thm),[c16])).
% 0.84/1.06 fof(c18,negated_conjecture,(ilf_type(skolem0001,binary_relation_type)&~ilf_type(skolem0001,relation_type(domain_of(skolem0001),range_of(skolem0001)))),inference(skolemize,status(esa),[c17])).
% 0.84/1.06 cnf(c20,negated_conjecture,~ilf_type(skolem0001,relation_type(domain_of(skolem0001),range_of(skolem0001))),inference(split_conjunct,status(thm),[c18])).
% 0.84/1.06 cnf(c19,negated_conjecture,ilf_type(skolem0001,binary_relation_type),inference(split_conjunct,status(thm),[c18])).
% 0.84/1.06 fof(p28,axiom,(![B]:ilf_type(B,set_type)),input).
% 0.84/1.06 fof(c21,axiom,(![X3]:ilf_type(X3,set_type)),inference(variable_rename,status(thm),[p28])).
% 0.84/1.06 cnf(c22,axiom,ilf_type(X74,set_type),inference(split_conjunct,status(thm),[c21])).
% 0.84/1.06 fof(p15,axiom,(![B]:(ilf_type(B,set_type)=>subset(B,B))),input).
% 0.84/1.06 fof(c93,axiom,(![B]:(~ilf_type(B,set_type)|subset(B,B))),inference(fof_nnf,status(thm),[p15])).
% 0.84/1.06 fof(c94,axiom,(![X39]:(~ilf_type(X39,set_type)|subset(X39,X39))),inference(variable_rename,status(thm),[c93])).
% 0.84/1.06 cnf(c95,axiom,~ilf_type(X83,set_type)|subset(X83,X83),inference(split_conjunct,status(thm),[c94])).
% 0.84/1.06 cnf(c171,plain,subset(X84,X84),inference(resolution,status(thm),[c95, c22])).
% 0.84/1.06 fof(p1,axiom,(![B]:(ilf_type(B,set_type)=>(![C]:(ilf_type(C,binary_relation_type)=>(subset(domain_of(C),B)=>ilf_type(C,relation_type(B,range_of(C)))))))),input).
% 0.84/1.06 fof(c165,axiom,(![B]:(~ilf_type(B,set_type)|(![C]:(~ilf_type(C,binary_relation_type)|(~subset(domain_of(C),B)|ilf_type(C,relation_type(B,range_of(C)))))))),inference(fof_nnf,status(thm),[p1])).
% 0.84/1.06 fof(c167,axiom,(![X71]:(![X72]:(~ilf_type(X71,set_type)|(~ilf_type(X72,binary_relation_type)|(~subset(domain_of(X72),X71)|ilf_type(X72,relation_type(X71,range_of(X72)))))))),inference(shift_quantors,status(thm),[fof(c166,axiom,(![X71]:(~ilf_type(X71,set_type)|(![X72]:(~ilf_type(X72,binary_relation_type)|(~subset(domain_of(X72),X71)|ilf_type(X72,relation_type(X71,range_of(X72)))))))),inference(variable_rename,status(thm),[c165])).])).
% 0.84/1.06 cnf(c168,axiom,~ilf_type(X529,set_type)|~ilf_type(X530,binary_relation_type)|~subset(domain_of(X530),X529)|ilf_type(X530,relation_type(X529,range_of(X530))),inference(split_conjunct,status(thm),[c167])).
% 0.84/1.06 cnf(c466,plain,~ilf_type(domain_of(X1007),set_type)|~ilf_type(X1007,binary_relation_type)|ilf_type(X1007,relation_type(domain_of(X1007),range_of(X1007))),inference(resolution,status(thm),[c168, c171])).
% 0.84/1.06 cnf(c859,plain,~ilf_type(X1008,binary_relation_type)|ilf_type(X1008,relation_type(domain_of(X1008),range_of(X1008))),inference(resolution,status(thm),[c466, c22])).
% 0.84/1.06 cnf(c867,plain,ilf_type(skolem0001,relation_type(domain_of(skolem0001),range_of(skolem0001))),inference(resolution,status(thm),[c859, c19])).
% 0.84/1.06 cnf(c873,plain,$false,inference(resolution,status(thm),[c867, c20])).
% 0.84/1.06 # SZS output end CNFRefutation
% 0.84/1.06
% 0.84/1.06 # Initial clauses : 71
% 0.84/1.06 # Processed clauses : 320
% 0.84/1.06 # Factors computed : 2
% 0.84/1.06 # Resolvents computed: 708
% 0.84/1.06 # Tautologies deleted: 9
% 0.84/1.06 # Forward subsumed : 146
% 0.84/1.06 # Backward subsumed : 65
% 0.84/1.06 # -------- CPU Time ---------
% 0.84/1.06 # User time : 0.702 s
% 0.84/1.06 # System time : 0.019 s
% 0.84/1.06 # Total time : 0.722 s
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