TSTP Solution File: NUM547+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM547+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 13:37:35 EDT 2022
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM547+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n011.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 : 600
% 0.13/0.35 % DateTime : Thu Jul 7 06:00:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.61/0.78 # Version: 1.3
% 0.61/0.78 # SZS status Theorem
% 0.61/0.78 # SZS output start CNFRefutation
% 0.61/0.78 fof(m__,conjecture,(?[W0]:((((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xS))))|aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk)))),input).
% 0.61/0.78 fof(c16,negated_conjecture,(~(?[W0]:((((aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>aElementOf0(W1,xS))))|aSubsetOf0(W0,xS))&sbrdtbr0(W0)=xk)|aElementOf0(W0,slbdtsldtrb0(xS,xk))))),inference(assume_negation,status(cth),[m__])).
% 0.61/0.78 fof(c17,negated_conjecture,(![W0]:((((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|sbrdtbr0(W0)!=xk)&~aElementOf0(W0,slbdtsldtrb0(xS,xk)))),inference(fof_nnf,status(thm),[c16])).
% 0.61/0.78 fof(c18,negated_conjecture,((![W0]:(((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&~aElementOf0(W1,xS))))&~aSubsetOf0(W0,xS))|sbrdtbr0(W0)!=xk))&(![W0]:~aElementOf0(W0,slbdtsldtrb0(xS,xk)))),inference(shift_quantors,status(thm),[c17])).
% 0.61/0.78 fof(c19,negated_conjecture,((![X2]:(((~aSet0(X2)|(?[X3]:(aElementOf0(X3,X2)&~aElementOf0(X3,xS))))&~aSubsetOf0(X2,xS))|sbrdtbr0(X2)!=xk))&(![X4]:~aElementOf0(X4,slbdtsldtrb0(xS,xk)))),inference(variable_rename,status(thm),[c18])).
% 0.61/0.78 fof(c21,negated_conjecture,(![X2]:(![X4]:((((~aSet0(X2)|(aElementOf0(skolem0001(X2),X2)&~aElementOf0(skolem0001(X2),xS)))&~aSubsetOf0(X2,xS))|sbrdtbr0(X2)!=xk)&~aElementOf0(X4,slbdtsldtrb0(xS,xk))))),inference(shift_quantors,status(thm),[fof(c20,negated_conjecture,((![X2]:(((~aSet0(X2)|(aElementOf0(skolem0001(X2),X2)&~aElementOf0(skolem0001(X2),xS)))&~aSubsetOf0(X2,xS))|sbrdtbr0(X2)!=xk))&(![X4]:~aElementOf0(X4,slbdtsldtrb0(xS,xk)))),inference(skolemize,status(esa),[c19])).])).
% 0.61/0.78 fof(c22,negated_conjecture,(![X2]:(![X4]:(((((~aSet0(X2)|aElementOf0(skolem0001(X2),X2))|sbrdtbr0(X2)!=xk)&((~aSet0(X2)|~aElementOf0(skolem0001(X2),xS))|sbrdtbr0(X2)!=xk))&(~aSubsetOf0(X2,xS)|sbrdtbr0(X2)!=xk))&~aElementOf0(X4,slbdtsldtrb0(xS,xk))))),inference(distribute,status(thm),[c21])).
% 0.61/0.78 cnf(c26,negated_conjecture,~aElementOf0(X163,slbdtsldtrb0(xS,xk)),inference(split_conjunct,status(thm),[c22])).
% 0.61/0.78 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).
% 0.61/0.78 fof(c28,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])).
% 0.61/0.78 fof(c29,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),[c28])).
% 0.61/0.78 fof(c30,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&((![X5]:(~aElementOf0(X5,slbdtsldtrb0(xS,xk))|(((aSet0(X5)&(![X6]:(~aElementOf0(X6,X5)|aElementOf0(X6,xS))))&aSubsetOf0(X5,xS))&sbrdtbr0(X5)=xk)))&(![X7]:((((~aSet0(X7)|(?[X8]:(aElementOf0(X8,X7)&~aElementOf0(X8,xS))))&~aSubsetOf0(X7,xS))|sbrdtbr0(X7)!=xk)|aElementOf0(X7,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![X9]:(~aElementOf0(X9,slbdtsldtrb0(xT,xk))|(((aSet0(X9)&(![X10]:(~aElementOf0(X10,X9)|aElementOf0(X10,xT))))&aSubsetOf0(X9,xT))&sbrdtbr0(X9)=xk)))&(![X11]:((((~aSet0(X11)|(?[X12]:(aElementOf0(X12,X11)&~aElementOf0(X12,xT))))&~aSubsetOf0(X11,xT))|sbrdtbr0(X11)!=xk)|aElementOf0(X11,slbdtsldtrb0(xT,xk))))))&(![X13]:(~aElementOf0(X13,slbdtsldtrb0(xS,xk))|aElementOf0(X13,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![X14]:(~aElementOf0(X14,slbdtsldtrb0(xS,xk))|(((aSet0(X14)&(![X15]:(~aElementOf0(X15,X14)|aElementOf0(X15,xS))))&aSubsetOf0(X14,xS))&sbrdtbr0(X14)=xk)))&(![X16]:((((~aSet0(X16)|(?[X17]:(aElementOf0(X17,X16)&~aElementOf0(X17,xS))))&~aSubsetOf0(X16,xS))|sbrdtbr0(X16)!=xk)|aElementOf0(X16,slbdtsldtrb0(xS,xk)))))&((?[X18]:aElementOf0(X18,slbdtsldtrb0(xS,xk)))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(variable_rename,status(thm),[c29])).
% 0.61/0.78 fof(c32,plain,(![X5]:(![X6]:(![X7]:(![X9]:(![X10]:(![X11]:(![X13]:(![X14]:(![X15]:(![X16]:((((((aSet0(slbdtsldtrb0(xS,xk))&((~aElementOf0(X5,slbdtsldtrb0(xS,xk))|(((aSet0(X5)&(~aElementOf0(X6,X5)|aElementOf0(X6,xS)))&aSubsetOf0(X5,xS))&sbrdtbr0(X5)=xk))&((((~aSet0(X7)|(aElementOf0(skolem0002(X7),X7)&~aElementOf0(skolem0002(X7),xS)))&~aSubsetOf0(X7,xS))|sbrdtbr0(X7)!=xk)|aElementOf0(X7,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xT,xk)))&((~aElementOf0(X9,slbdtsldtrb0(xT,xk))|(((aSet0(X9)&(~aElementOf0(X10,X9)|aElementOf0(X10,xT)))&aSubsetOf0(X9,xT))&sbrdtbr0(X9)=xk))&((((~aSet0(X11)|(aElementOf0(skolem0003(X11),X11)&~aElementOf0(skolem0003(X11),xT)))&~aSubsetOf0(X11,xT))|sbrdtbr0(X11)!=xk)|aElementOf0(X11,slbdtsldtrb0(xT,xk)))))&(~aElementOf0(X13,slbdtsldtrb0(xS,xk))|aElementOf0(X13,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((~aElementOf0(X14,slbdtsldtrb0(xS,xk))|(((aSet0(X14)&(~aElementOf0(X15,X14)|aElementOf0(X15,xS)))&aSubsetOf0(X14,xS))&sbrdtbr0(X14)=xk))&((((~aSet0(X16)|(aElementOf0(skolem0004(X16),X16)&~aElementOf0(skolem0004(X16),xS)))&~aSubsetOf0(X16,xS))|sbrdtbr0(X16)!=xk)|aElementOf0(X16,slbdtsldtrb0(xS,xk))))&(aElementOf0(skolem0005,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))))))))))))),inference(shift_quantors,status(thm),[fof(c31,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&((![X5]:(~aElementOf0(X5,slbdtsldtrb0(xS,xk))|(((aSet0(X5)&(![X6]:(~aElementOf0(X6,X5)|aElementOf0(X6,xS))))&aSubsetOf0(X5,xS))&sbrdtbr0(X5)=xk)))&(![X7]:((((~aSet0(X7)|(aElementOf0(skolem0002(X7),X7)&~aElementOf0(skolem0002(X7),xS)))&~aSubsetOf0(X7,xS))|sbrdtbr0(X7)!=xk)|aElementOf0(X7,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![X9]:(~aElementOf0(X9,slbdtsldtrb0(xT,xk))|(((aSet0(X9)&(![X10]:(~aElementOf0(X10,X9)|aElementOf0(X10,xT))))&aSubsetOf0(X9,xT))&sbrdtbr0(X9)=xk)))&(![X11]:((((~aSet0(X11)|(aElementOf0(skolem0003(X11),X11)&~aElementOf0(skolem0003(X11),xT)))&~aSubsetOf0(X11,xT))|sbrdtbr0(X11)!=xk)|aElementOf0(X11,slbdtsldtrb0(xT,xk))))))&(![X13]:(~aElementOf0(X13,slbdtsldtrb0(xS,xk))|aElementOf0(X13,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![X14]:(~aElementOf0(X14,slbdtsldtrb0(xS,xk))|(((aSet0(X14)&(![X15]:(~aElementOf0(X15,X14)|aElementOf0(X15,xS))))&aSubsetOf0(X14,xS))&sbrdtbr0(X14)=xk)))&(![X16]:((((~aSet0(X16)|(aElementOf0(skolem0004(X16),X16)&~aElementOf0(skolem0004(X16),xS)))&~aSubsetOf0(X16,xS))|sbrdtbr0(X16)!=xk)|aElementOf0(X16,slbdtsldtrb0(xS,xk)))))&(aElementOf0(skolem0005,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(skolemize,status(esa),[c30])).])).
% 0.61/0.78 fof(c33,plain,(![X5]:(![X6]:(![X7]:(![X9]:(![X10]:(![X11]:(![X13]:(![X14]:(![X15]:(![X16]:((((((aSet0(slbdtsldtrb0(xS,xk))&(((((~aElementOf0(X5,slbdtsldtrb0(xS,xk))|aSet0(X5))&(~aElementOf0(X5,slbdtsldtrb0(xS,xk))|(~aElementOf0(X6,X5)|aElementOf0(X6,xS))))&(~aElementOf0(X5,slbdtsldtrb0(xS,xk))|aSubsetOf0(X5,xS)))&(~aElementOf0(X5,slbdtsldtrb0(xS,xk))|sbrdtbr0(X5)=xk))&(((((~aSet0(X7)|aElementOf0(skolem0002(X7),X7))|sbrdtbr0(X7)!=xk)|aElementOf0(X7,slbdtsldtrb0(xS,xk)))&(((~aSet0(X7)|~aElementOf0(skolem0002(X7),xS))|sbrdtbr0(X7)!=xk)|aElementOf0(X7,slbdtsldtrb0(xS,xk))))&((~aSubsetOf0(X7,xS)|sbrdtbr0(X7)!=xk)|aElementOf0(X7,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&(((((~aElementOf0(X9,slbdtsldtrb0(xT,xk))|aSet0(X9))&(~aElementOf0(X9,slbdtsldtrb0(xT,xk))|(~aElementOf0(X10,X9)|aElementOf0(X10,xT))))&(~aElementOf0(X9,slbdtsldtrb0(xT,xk))|aSubsetOf0(X9,xT)))&(~aElementOf0(X9,slbdtsldtrb0(xT,xk))|sbrdtbr0(X9)=xk))&(((((~aSet0(X11)|aElementOf0(skolem0003(X11),X11))|sbrdtbr0(X11)!=xk)|aElementOf0(X11,slbdtsldtrb0(xT,xk)))&(((~aSet0(X11)|~aElementOf0(skolem0003(X11),xT))|sbrdtbr0(X11)!=xk)|aElementOf0(X11,slbdtsldtrb0(xT,xk))))&((~aSubsetOf0(X11,xT)|sbrdtbr0(X11)!=xk)|aElementOf0(X11,slbdtsldtrb0(xT,xk))))))&(~aElementOf0(X13,slbdtsldtrb0(xS,xk))|aElementOf0(X13,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&((((((~aElementOf0(X14,slbdtsldtrb0(xS,xk))|aSet0(X14))&(~aElementOf0(X14,slbdtsldtrb0(xS,xk))|(~aElementOf0(X15,X14)|aElementOf0(X15,xS))))&(~aElementOf0(X14,slbdtsldtrb0(xS,xk))|aSubsetOf0(X14,xS)))&(~aElementOf0(X14,slbdtsldtrb0(xS,xk))|sbrdtbr0(X14)=xk))&(((((~aSet0(X16)|aElementOf0(skolem0004(X16),X16))|sbrdtbr0(X16)!=xk)|aElementOf0(X16,slbdtsldtrb0(xS,xk)))&(((~aSet0(X16)|~aElementOf0(skolem0004(X16),xS))|sbrdtbr0(X16)!=xk)|aElementOf0(X16,slbdtsldtrb0(xS,xk))))&((~aSubsetOf0(X16,xS)|sbrdtbr0(X16)!=xk)|aElementOf0(X16,slbdtsldtrb0(xS,xk)))))&(aElementOf0(skolem0005,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))))))))))))),inference(distribute,status(thm),[c32])).
% 0.61/0.78 cnf(c59,plain,aElementOf0(skolem0005,slbdtsldtrb0(xS,xk)),inference(split_conjunct,status(thm),[c33])).
% 0.61/0.78 cnf(c408,plain,$false,inference(resolution,status(thm),[c59, c26])).
% 0.61/0.78 # SZS output end CNFRefutation
% 0.61/0.78
% 0.61/0.78 # Initial clauses : 165
% 0.61/0.78 # Processed clauses : 54
% 0.61/0.78 # Factors computed : 0
% 0.61/0.78 # Resolvents computed: 70
% 0.61/0.78 # Tautologies deleted: 5
% 0.61/0.78 # Forward subsumed : 13
% 0.61/0.78 # Backward subsumed : 0
% 0.61/0.78 # -------- CPU Time ---------
% 0.61/0.78 # User time : 0.407 s
% 0.61/0.78 # System time : 0.021 s
% 0.61/0.78 # Total time : 0.428 s
%------------------------------------------------------------------------------