TSTP Solution File: SET658+3 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:39:55 EDT 2024
% Result : Theorem 1.91s 2.07s
% Output : Refutation 1.91s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n016.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 18:23:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.91/2.07 % Version: 1.5
% 1.91/2.07 % SZS status Theorem
% 1.91/2.07 % SZS output start CNFRefutation
% 1.91/2.07 fof(prove_relset_1_20,conjecture,(![B]:(ilf_type(B,binary_relation_type)=>ilf_type(B,relation_type(domain_of(B),range_of(B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_relset_1_20)).
% 1.91/2.07 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])).
% 1.91/2.07 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])).
% 1.91/2.07 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])).
% 1.91/2.07 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])).
% 1.91/2.07 cnf(c20,negated_conjecture,~ilf_type(skolem0001,relation_type(domain_of(skolem0001),range_of(skolem0001))),inference(split_conjunct,[status(thm)],[c18])).
% 1.91/2.07 cnf(c19,negated_conjecture,ilf_type(skolem0001,binary_relation_type),inference(split_conjunct,[status(thm)],[c18])).
% 1.91/2.07 fof(p28,axiom,(![B]:ilf_type(B,set_type)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p28)).
% 1.91/2.07 fof(c21,plain,(![X3]:ilf_type(X3,set_type)),inference(variable_rename,[status(thm)],[p28])).
% 1.91/2.07 cnf(c22,plain,ilf_type(X74,set_type),inference(split_conjunct,[status(thm)],[c21])).
% 1.91/2.07 fof(p15,axiom,(![B]:(ilf_type(B,set_type)=>subset(B,B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p15)).
% 1.91/2.07 fof(c93,plain,(![B]:(~ilf_type(B,set_type)|subset(B,B))),inference(fof_nnf,[status(thm)],[p15])).
% 1.91/2.07 fof(c94,plain,(![X39]:(~ilf_type(X39,set_type)|subset(X39,X39))),inference(variable_rename,[status(thm)],[c93])).
% 1.91/2.07 cnf(c95,plain,~ilf_type(X84,set_type)|subset(X84,X84),inference(split_conjunct,[status(thm)],[c94])).
% 1.91/2.07 cnf(c172,plain,subset(X85,X85),inference(resolution,[status(thm)],[c95, c22])).
% 1.91/2.07 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)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p1)).
% 1.91/2.07 fof(c165,plain,(![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])).
% 1.91/2.07 fof(c167,plain,(![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,plain,(![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])).])).
% 1.91/2.07 cnf(c168,plain,~ilf_type(X541,set_type)|~ilf_type(X542,binary_relation_type)|~subset(domain_of(X542),X541)|ilf_type(X542,relation_type(X541,range_of(X542))),inference(split_conjunct,[status(thm)],[c167])).
% 1.91/2.07 cnf(c456,plain,~ilf_type(domain_of(X1468),set_type)|~ilf_type(X1468,binary_relation_type)|ilf_type(X1468,relation_type(domain_of(X1468),range_of(X1468))),inference(resolution,[status(thm)],[c168, c172])).
% 1.91/2.07 cnf(c3946,plain,~ilf_type(X1470,binary_relation_type)|ilf_type(X1470,relation_type(domain_of(X1470),range_of(X1470))),inference(resolution,[status(thm)],[c456, c22])).
% 1.91/2.07 cnf(c4025,plain,ilf_type(skolem0001,relation_type(domain_of(skolem0001),range_of(skolem0001))),inference(resolution,[status(thm)],[c3946, c19])).
% 1.91/2.07 cnf(c4033,plain,$false,inference(resolution,[status(thm)],[c4025, c20])).
% 1.91/2.07 % SZS output end CNFRefutation
% 1.91/2.07
% 1.91/2.07 % Initial clauses : 71
% 1.91/2.07 % Processed clauses : 563
% 1.91/2.07 % Factors computed : 62
% 1.91/2.07 % Resolvents computed: 3809
% 1.91/2.07 % Tautologies deleted: 12
% 1.91/2.07 % Forward subsumed : 263
% 1.91/2.07 % Backward subsumed : 128
% 1.91/2.07 % -------- CPU Time ---------
% 1.91/2.07 % User time : 1.705 s
% 1.91/2.07 % System time : 0.017 s
% 1.91/2.07 % Total time : 1.722 s
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