%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:36:10 EDT 2024
% Result : Theorem 0.73s 0.92s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n005.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 15:56:07 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.73/0.92 % Version: 1.5
% 0.73/0.92 % SZS status Theorem
% 0.73/0.92 % SZS output start CNFRefutation
% 0.73/0.92 fof(m__,conjecture,(aElementOf0(xx,xQ)=>aElementOf0(xx,xT)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.73/0.92 fof(c16,negated_conjecture,(~(aElementOf0(xx,xQ)=>aElementOf0(xx,xT))),inference(assume_negation,[status(cth)],[m__])).
% 0.73/0.92 fof(c17,negated_conjecture,(aElementOf0(xx,xQ)&~aElementOf0(xx,xT)),inference(fof_nnf,[status(thm)],[c16])).
% 0.73/0.92 cnf(c19,negated_conjecture,~aElementOf0(xx,xT),inference(split_conjunct,[status(thm)],[c17])).
% 0.73/0.92 cnf(c18,negated_conjecture,aElementOf0(xx,xQ),inference(split_conjunct,[status(thm)],[c17])).
% 0.73/0.92 fof(m__2227,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&(![W0]:((aElementOf0(W0,slbdtsldtrb0(xS,xk))=>(((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk))&((((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xS))))|aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)=>aElementOf0(W0,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&(![W0]:((aElementOf0(W0,slbdtsldtrb0(xT,xk))=>(((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xT))))&aSubsetOf0(W0,xT))&sbrdtbr0(W0)=xk))&((((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xT))))|aSubsetOf0(W0,xT))&sbrdtbr0(W0)=xk)=>aElementOf0(W0,slbdtsldtrb0(xT,xk))))))&(![W0]:(aElementOf0(W0,slbdtsldtrb0(xS,xk))=>aElementOf0(W0,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(~((![W0]:((aElementOf0(W0,slbdtsldtrb0(xS,xk))=>(((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk))&((((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xS))))|aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)=>aElementOf0(W0,slbdtsldtrb0(xS,xk)))))=>((~(?[W0]:aElementOf0(W0,slbdtsldtrb0(xS,xk))))|slbdtsldtrb0(xS,xk)=slcrc0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2227)).
% 0.73/0.92 fof(c34,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&(![W0]:((~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk))&((((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|sbrdtbr0(W0)!=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&(![W0]:((~aElementOf0(W0,slbdtsldtrb0(xT,xk))|(((aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|aElementOf0(W1,xT))))&aSubsetOf0(W0,xT))&sbrdtbr0(W0)=xk))&((((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xT))))&~aSubsetOf0(W0,xT))|sbrdtbr0(W0)!=xk)|aElementOf0(W0,slbdtsldtrb0(xT,xk))))))&(![W0]:(~aElementOf0(W0,slbdtsldtrb0(xS,xk))|aElementOf0(W0,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&((![W0]:((~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk))&((((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|sbrdtbr0(W0)!=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk)))))&((?[W0]:aElementOf0(W0,slbdtsldtrb0(xS,xk)))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(fof_nnf,[status(thm)],[m__2227])).
% 0.73/0.92 fof(c35,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&((![W0]:(~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)))&(![W0]:((((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|sbrdtbr0(W0)!=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![W0]:(~aElementOf0(W0,slbdtsldtrb0(xT,xk))|(((aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|aElementOf0(W1,xT))))&aSubsetOf0(W0,xT))&sbrdtbr0(W0)=xk)))&(![W0]:((((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xT))))&~aSubsetOf0(W0,xT))|sbrdtbr0(W0)!=xk)|aElementOf0(W0,slbdtsldtrb0(xT,xk))))))&(![W0]:(~aElementOf0(W0,slbdtsldtrb0(xS,xk))|aElementOf0(W0,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![W0]:(~aElementOf0(W0,slbdtsldtrb0(xS,xk))|(((aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|aElementOf0(W1,xS))))&aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)))&(![W0]:((((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|sbrdtbr0(W0)!=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk)))))&((?[W0]:aElementOf0(W0,slbdtsldtrb0(xS,xk)))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(shift_quantors,[status(thm)],[c34])).
% 0.73/0.92 fof(c36,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&((![X3]:(~aElementOf0(X3,slbdtsldtrb0(xS,xk))|(((aSet0(X3)&(![X4]:(~aElementOf0(X4,X3)|aElementOf0(X4,xS))))&aSubsetOf0(X3,xS))&sbrdtbr0(X3)=xk)))&(![X5]:((((~aSet0(X5)|(?[X6]:(aElementOf0(X6,X5)&~aElementOf0(X6,xS))))&~aSubsetOf0(X5,xS))|sbrdtbr0(X5)!=xk)|aElementOf0(X5,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![X7]:(~aElementOf0(X7,slbdtsldtrb0(xT,xk))|(((aSet0(X7)&(![X8]:(~aElementOf0(X8,X7)|aElementOf0(X8,xT))))&aSubsetOf0(X7,xT))&sbrdtbr0(X7)=xk)))&(![X9]:((((~aSet0(X9)|(?[X10]:(aElementOf0(X10,X9)&~aElementOf0(X10,xT))))&~aSubsetOf0(X9,xT))|sbrdtbr0(X9)!=xk)|aElementOf0(X9,slbdtsldtrb0(xT,xk))))))&(![X11]:(~aElementOf0(X11,slbdtsldtrb0(xS,xk))|aElementOf0(X11,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![X12]:(~aElementOf0(X12,slbdtsldtrb0(xS,xk))|(((aSet0(X12)&(![X13]:(~aElementOf0(X13,X12)|aElementOf0(X13,xS))))&aSubsetOf0(X12,xS))&sbrdtbr0(X12)=xk)))&(![X14]:((((~aSet0(X14)|(?[X15]:(aElementOf0(X15,X14)&~aElementOf0(X15,xS))))&~aSubsetOf0(X14,xS))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xS,xk)))))&((?[X16]:aElementOf0(X16,slbdtsldtrb0(xS,xk)))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(variable_rename,[status(thm)],[c35])).
% 0.73/0.92 fof(c38,plain,(![X3]:(![X4]:(![X5]:(![X7]:(![X8]:(![X9]:(![X11]:(![X12]:(![X13]:(![X14]:((((((aSet0(slbdtsldtrb0(xS,xk))&((~aElementOf0(X3,slbdtsldtrb0(xS,xk))|(((aSet0(X3)&(~aElementOf0(X4,X3)|aElementOf0(X4,xS)))&aSubsetOf0(X3,xS))&sbrdtbr0(X3)=xk))&((((~aSet0(X5)|(aElementOf0(skolem0001(X5),X5)&~aElementOf0(skolem0001(X5),xS)))&~aSubsetOf0(X5,xS))|sbrdtbr0(X5)!=xk)|aElementOf0(X5,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xT,xk)))&((~aElementOf0(X7,slbdtsldtrb0(xT,xk))|(((aSet0(X7)&(~aElementOf0(X8,X7)|aElementOf0(X8,xT)))&aSubsetOf0(X7,xT))&sbrdtbr0(X7)=xk))&((((~aSet0(X9)|(aElementOf0(skolem0002(X9),X9)&~aElementOf0(skolem0002(X9),xT)))&~aSubsetOf0(X9,xT))|sbrdtbr0(X9)!=xk)|aElementOf0(X9,slbdtsldtrb0(xT,xk)))))&(~aElementOf0(X11,slbdtsldtrb0(xS,xk))|aElementOf0(X11,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((~aElementOf0(X12,slbdtsldtrb0(xS,xk))|(((aSet0(X12)&(~aElementOf0(X13,X12)|aElementOf0(X13,xS)))&aSubsetOf0(X12,xS))&sbrdtbr0(X12)=xk))&((((~aSet0(X14)|(aElementOf0(skolem0003(X14),X14)&~aElementOf0(skolem0003(X14),xS)))&~aSubsetOf0(X14,xS))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xS,xk))))&(aElementOf0(skolem0004,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))))))))))))),inference(shift_quantors,[status(thm)],[fof(c37,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&((![X3]:(~aElementOf0(X3,slbdtsldtrb0(xS,xk))|(((aSet0(X3)&(![X4]:(~aElementOf0(X4,X3)|aElementOf0(X4,xS))))&aSubsetOf0(X3,xS))&sbrdtbr0(X3)=xk)))&(![X5]:((((~aSet0(X5)|(aElementOf0(skolem0001(X5),X5)&~aElementOf0(skolem0001(X5),xS)))&~aSubsetOf0(X5,xS))|sbrdtbr0(X5)!=xk)|aElementOf0(X5,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![X7]:(~aElementOf0(X7,slbdtsldtrb0(xT,xk))|(((aSet0(X7)&(![X8]:(~aElementOf0(X8,X7)|aElementOf0(X8,xT))))&aSubsetOf0(X7,xT))&sbrdtbr0(X7)=xk)))&(![X9]:((((~aSet0(X9)|(aElementOf0(skolem0002(X9),X9)&~aElementOf0(skolem0002(X9),xT)))&~aSubsetOf0(X9,xT))|sbrdtbr0(X9)!=xk)|aElementOf0(X9,slbdtsldtrb0(xT,xk))))))&(![X11]:(~aElementOf0(X11,slbdtsldtrb0(xS,xk))|aElementOf0(X11,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![X12]:(~aElementOf0(X12,slbdtsldtrb0(xS,xk))|(((aSet0(X12)&(![X13]:(~aElementOf0(X13,X12)|aElementOf0(X13,xS))))&aSubsetOf0(X12,xS))&sbrdtbr0(X12)=xk)))&(![X14]:((((~aSet0(X14)|(aElementOf0(skolem0003(X14),X14)&~aElementOf0(skolem0003(X14),xS)))&~aSubsetOf0(X14,xS))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xS,xk)))))&(aElementOf0(skolem0004,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(skolemize,[status(esa)],[c36])).])).
% 0.73/0.92 fof(c39,plain,(![X3]:(![X4]:(![X5]:(![X7]:(![X8]:(![X9]:(![X11]:(![X12]:(![X13]:(![X14]:((((((aSet0(slbdtsldtrb0(xS,xk))&(((((~aElementOf0(X3,slbdtsldtrb0(xS,xk))|aSet0(X3))&(~aElementOf0(X3,slbdtsldtrb0(xS,xk))|(~aElementOf0(X4,X3)|aElementOf0(X4,xS))))&(~aElementOf0(X3,slbdtsldtrb0(xS,xk))|aSubsetOf0(X3,xS)))&(~aElementOf0(X3,slbdtsldtrb0(xS,xk))|sbrdtbr0(X3)=xk))&(((((~aSet0(X5)|aElementOf0(skolem0001(X5),X5))|sbrdtbr0(X5)!=xk)|aElementOf0(X5,slbdtsldtrb0(xS,xk)))&(((~aSet0(X5)|~aElementOf0(skolem0001(X5),xS))|sbrdtbr0(X5)!=xk)|aElementOf0(X5,slbdtsldtrb0(xS,xk))))&((~aSubsetOf0(X5,xS)|sbrdtbr0(X5)!=xk)|aElementOf0(X5,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&(((((~aElementOf0(X7,slbdtsldtrb0(xT,xk))|aSet0(X7))&(~aElementOf0(X7,slbdtsldtrb0(xT,xk))|(~aElementOf0(X8,X7)|aElementOf0(X8,xT))))&(~aElementOf0(X7,slbdtsldtrb0(xT,xk))|aSubsetOf0(X7,xT)))&(~aElementOf0(X7,slbdtsldtrb0(xT,xk))|sbrdtbr0(X7)=xk))&(((((~aSet0(X9)|aElementOf0(skolem0002(X9),X9))|sbrdtbr0(X9)!=xk)|aElementOf0(X9,slbdtsldtrb0(xT,xk)))&(((~aSet0(X9)|~aElementOf0(skolem0002(X9),xT))|sbrdtbr0(X9)!=xk)|aElementOf0(X9,slbdtsldtrb0(xT,xk))))&((~aSubsetOf0(X9,xT)|sbrdtbr0(X9)!=xk)|aElementOf0(X9,slbdtsldtrb0(xT,xk))))))&(~aElementOf0(X11,slbdtsldtrb0(xS,xk))|aElementOf0(X11,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&((((((~aElementOf0(X12,slbdtsldtrb0(xS,xk))|aSet0(X12))&(~aElementOf0(X12,slbdtsldtrb0(xS,xk))|(~aElementOf0(X13,X12)|aElementOf0(X13,xS))))&(~aElementOf0(X12,slbdtsldtrb0(xS,xk))|aSubsetOf0(X12,xS)))&(~aElementOf0(X12,slbdtsldtrb0(xS,xk))|sbrdtbr0(X12)=xk))&(((((~aSet0(X14)|aElementOf0(skolem0003(X14),X14))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xS,xk)))&(((~aSet0(X14)|~aElementOf0(skolem0003(X14),xS))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xS,xk))))&((~aSubsetOf0(X14,xS)|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xS,xk)))))&(aElementOf0(skolem0004,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))))))))))))),inference(distribute,[status(thm)],[c38])).
% 0.73/0.92 cnf(c50,plain,~aElementOf0(X223,slbdtsldtrb0(xT,xk))|~aElementOf0(X224,X223)|aElementOf0(X224,xT),inference(split_conjunct,[status(thm)],[c39])).
% 0.73/0.92 fof(m__2270,plain,((((aSet0(xQ)&(![W0]:(aElementOf0(W0,xQ)=>aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2270)).
% 0.73/0.92 fof(c25,plain,((((aSet0(xQ)&(![W0]:(~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(fof_nnf,[status(thm)],[m__2270])).
% 0.73/0.92 fof(c27,plain,(![X2]:((((aSet0(xQ)&(~aElementOf0(X2,xQ)|aElementOf0(X2,xS)))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk)))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((((aSet0(xQ)&(![X2]:(~aElementOf0(X2,xQ)|aElementOf0(X2,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(variable_rename,[status(thm)],[c25])).])).
% 0.73/0.92 cnf(c32,plain,aElementOf0(xQ,slbdtsldtrb0(xS,xk)),inference(split_conjunct,[status(thm)],[c27])).
% 0.73/0.92 cnf(c56,plain,~aElementOf0(X239,slbdtsldtrb0(xS,xk))|aElementOf0(X239,slbdtsldtrb0(xT,xk)),inference(split_conjunct,[status(thm)],[c39])).
% 0.73/0.92 cnf(c575,plain,aElementOf0(xQ,slbdtsldtrb0(xT,xk)),inference(resolution,[status(thm)],[c56, c32])).
% 0.73/0.92 cnf(c614,plain,~aElementOf0(X247,xQ)|aElementOf0(X247,xT),inference(resolution,[status(thm)],[c575, c50])).
% 0.73/0.92 cnf(c636,plain,aElementOf0(xx,xT),inference(resolution,[status(thm)],[c614, c18])).
% 0.73/0.92 cnf(c638,plain,$false,inference(resolution,[status(thm)],[c636, c19])).
% 0.73/0.92 % SZS output end CNFRefutation
% 0.73/0.92
% 0.73/0.92 % Initial clauses : 173
% 0.73/0.92 % Processed clauses : 163
% 0.73/0.92 % Factors computed : 6
% 0.73/0.92 % Resolvents computed: 287
% 0.73/0.92 % Tautologies deleted: 12
% 0.73/0.92 % Forward subsumed : 57
% 0.73/0.92 % Backward subsumed : 5
% 0.73/0.92 % -------- CPU Time ---------
% 0.73/0.92 % User time : 0.543 s
% 0.73/0.92 % System time : 0.014 s
% 0.73/0.92 % Total time : 0.557 s
%------------------------------------------------------------------------------