%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:39:57 EDT 2024
% Result : Theorem 0.77s 0.97s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET676+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 18:55:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.77/0.97 % Version: 1.5
% 0.77/0.97 % SZS status Theorem
% 0.77/0.97 % SZS output start CNFRefutation
% 0.77/0.97 fof(prove_relset_1_41,conjecture,(![B]:(ilf_type(B,set_type)=>ilf_type(cross_product(B,B),identity_relation_of_type(B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_relset_1_41)).
% 0.77/0.97 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])).
% 0.77/0.97 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])).
% 0.77/0.97 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])).
% 0.77/0.97 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])).
% 0.77/0.97 cnf(c16,negated_conjecture,~ilf_type(cross_product(skolem0001,skolem0001),identity_relation_of_type(skolem0001)),inference(split_conjunct,[status(thm)],[c14])).
% 0.77/0.97 fof(p19,axiom,(![B]:ilf_type(B,set_type)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', p19)).
% 0.77/0.97 fof(c17,plain,(![X3]:ilf_type(X3,set_type)),inference(variable_rename,[status(thm)],[p19])).
% 0.77/0.97 cnf(c18,plain,ilf_type(X56,set_type),inference(split_conjunct,[status(thm)],[c17])).
% 0.77/0.97 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)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', p1)).
% 0.77/0.97 fof(c123,plain,(![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])).
% 0.77/0.97 fof(c125,plain,(![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,plain,(![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])).])).
% 0.77/0.97 cnf(c126,plain,~ilf_type(X297,set_type)|~ilf_type(X296,set_type)|ilf_type(cross_product(X297,X296),relation_type(X297,X296)),inference(split_conjunct,[status(thm)],[c125])).
% 0.77/0.97 cnf(c265,plain,~ilf_type(X303,set_type)|ilf_type(cross_product(X303,X302),relation_type(X303,X302)),inference(resolution,[status(thm)],[c126, c18])).
% 0.77/0.97 cnf(c270,plain,ilf_type(cross_product(X304,X305),relation_type(X304,X305)),inference(resolution,[status(thm)],[c265, c18])).
% 0.77/0.97 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))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', p4)).
% 0.77/0.97 fof(c102,plain,(![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])).
% 0.77/0.97 fof(c104,plain,(![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,plain,(![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])).])).
% 0.77/0.97 fof(c105,plain,(![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])).
% 0.77/0.97 cnf(c107,plain,~ilf_type(X308,set_type)|~ilf_type(X307,set_type)|~ilf_type(X307,relation_type(X308,X308))|ilf_type(X307,identity_relation_of_type(X308)),inference(split_conjunct,[status(thm)],[c105])).
% 0.77/0.97 cnf(c274,plain,~ilf_type(X660,set_type)|~ilf_type(cross_product(X660,X660),set_type)|ilf_type(cross_product(X660,X660),identity_relation_of_type(X660)),inference(resolution,[status(thm)],[c107, c270])).
% 0.77/0.97 cnf(c547,plain,~ilf_type(X661,set_type)|ilf_type(cross_product(X661,X661),identity_relation_of_type(X661)),inference(resolution,[status(thm)],[c274, c18])).
% 0.77/0.97 cnf(c548,plain,ilf_type(cross_product(X664,X664),identity_relation_of_type(X664)),inference(resolution,[status(thm)],[c547, c18])).
% 0.77/0.97 cnf(c553,plain,$false,inference(resolution,[status(thm)],[c548, c16])).
% 0.77/0.97 % SZS output end CNFRefutation
% 0.77/0.97
% 0.77/0.97 % Initial clauses : 55
% 0.77/0.97 % Processed clauses : 230
% 0.77/0.97 % Factors computed : 19
% 0.77/0.97 % Resolvents computed: 408
% 0.77/0.97 % Tautologies deleted: 10
% 0.77/0.97 % Forward subsumed : 97
% 0.77/0.97 % Backward subsumed : 77
% 0.77/0.97 % -------- CPU Time ---------
% 0.77/0.97 % User time : 0.586 s
% 0.77/0.97 % System time : 0.016 s
% 0.77/0.97 % Total time : 0.602 s
%------------------------------------------------------------------------------