TSTP Solution File: NUM552+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : 600s
% DateTime : Mon Jul 18 13:37:38 EDT 2022
% Result : Theorem 0.65s 0.83s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 11:16:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.65/0.83 # Version: 1.3
% 0.65/0.83 # SZS status Theorem
% 0.65/0.83 # SZS output start CNFRefutation
% 0.65/0.83 fof(m__,conjecture,(aElementOf0(xx,xQ)=>aElementOf0(xx,xT)),input).
% 0.65/0.83 fof(c16,negated_conjecture,(~(aElementOf0(xx,xQ)=>aElementOf0(xx,xT))),inference(assume_negation,status(cth),[m__])).
% 0.65/0.83 fof(c17,negated_conjecture,(aElementOf0(xx,xQ)&~aElementOf0(xx,xT)),inference(fof_nnf,status(thm),[c16])).
% 0.65/0.83 cnf(c19,negated_conjecture,~aElementOf0(xx,xT),inference(split_conjunct,status(thm),[c17])).
% 0.65/0.83 cnf(c18,negated_conjecture,aElementOf0(xx,xQ),inference(split_conjunct,status(thm),[c17])).
% 0.65/0.83 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)))),input).
% 0.65/0.83 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])).
% 0.65/0.83 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])).
% 0.65/0.83 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])).
% 0.65/0.83 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])).])).
% 0.65/0.83 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])).
% 0.65/0.83 cnf(c50,plain,~aElementOf0(X222,slbdtsldtrb0(xT,xk))|~aElementOf0(X223,X222)|aElementOf0(X223,xT),inference(split_conjunct,status(thm),[c39])).
% 0.65/0.83 fof(m__2270,plain,((((aSet0(xQ)&(![W0]:(aElementOf0(W0,xQ)=>aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),input).
% 0.65/0.83 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])).
% 0.65/0.83 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])).])).
% 0.65/0.83 cnf(c32,plain,aElementOf0(xQ,slbdtsldtrb0(xS,xk)),inference(split_conjunct,status(thm),[c27])).
% 0.65/0.83 cnf(c56,plain,~aElementOf0(X238,slbdtsldtrb0(xS,xk))|aElementOf0(X238,slbdtsldtrb0(xT,xk)),inference(split_conjunct,status(thm),[c39])).
% 0.65/0.83 cnf(c570,plain,aElementOf0(xQ,slbdtsldtrb0(xT,xk)),inference(resolution,status(thm),[c56, c32])).
% 0.65/0.83 cnf(c599,plain,~aElementOf0(X244,xQ)|aElementOf0(X244,xT),inference(resolution,status(thm),[c570, c50])).
% 0.65/0.83 cnf(c631,plain,aElementOf0(xx,xT),inference(resolution,status(thm),[c599, c18])).
% 0.65/0.83 cnf(c639,plain,$false,inference(resolution,status(thm),[c631, c19])).
% 0.65/0.83 # SZS output end CNFRefutation
% 0.65/0.83
% 0.65/0.83 # Initial clauses : 173
% 0.65/0.83 # Processed clauses : 163
% 0.65/0.83 # Factors computed : 2
% 0.65/0.83 # Resolvents computed: 290
% 0.65/0.83 # Tautologies deleted: 11
% 0.65/0.83 # Forward subsumed : 56
% 0.65/0.83 # Backward subsumed : 5
% 0.65/0.83 # -------- CPU Time ---------
% 0.65/0.83 # User time : 0.473 s
% 0.65/0.83 # System time : 0.015 s
% 0.65/0.83 # Total time : 0.488 s
%------------------------------------------------------------------------------