TSTP Solution File: NUM558+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 13:37:40 EDT 2022
% Result : Theorem 0.80s 0.98s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 01:05:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.80/0.98 # Version: 1.3
% 0.80/0.98 # SZS status Theorem
% 0.80/0.98 # SZS output start CNFRefutation
% 0.80/0.98 fof(m__,conjecture,aElementOf0(xx,xT),input).
% 0.80/0.98 fof(c16,negated_conjecture,(~aElementOf0(xx,xT)),inference(assume_negation,status(cth),[m__])).
% 0.80/0.98 fof(c17,negated_conjecture,~aElementOf0(xx,xT),inference(fof_simplification,status(thm),[c16])).
% 0.80/0.98 cnf(c18,negated_conjecture,~aElementOf0(xx,xT),inference(split_conjunct,status(thm),[c17])).
% 0.80/0.98 fof(m__2202_02,plain,((aSet0(xS)&aSet0(xT))&xk!=sz00),input).
% 0.80/0.98 cnf(c93,plain,aSet0(xS),inference(split_conjunct,status(thm),[m__2202_02])).
% 0.80/0.98 fof(m__2256,plain,aElementOf0(xx,xS),input).
% 0.80/0.98 cnf(c59,plain,aElementOf0(xx,xS),inference(split_conjunct,status(thm),[m__2256])).
% 0.80/0.98 fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),input).
% 0.80/0.98 fof(c367,axiom,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,status(thm),[mEOfElem])).
% 0.80/0.98 fof(c369,axiom,(![X138]:(![X139]:(~aSet0(X138)|(~aElementOf0(X139,X138)|aElement0(X139))))),inference(shift_quantors,status(thm),[fof(c368,axiom,(![X138]:(~aSet0(X138)|(![X139]:(~aElementOf0(X139,X138)|aElement0(X139))))),inference(variable_rename,status(thm),[c367])).])).
% 0.80/0.98 cnf(c370,axiom,~aSet0(X220)|~aElementOf0(X221,X220)|aElement0(X221),inference(split_conjunct,status(thm),[c369])).
% 0.80/0.98 cnf(c548,plain,~aSet0(xS)|aElement0(xx),inference(resolution,status(thm),[c370, c59])).
% 0.80/0.98 cnf(c552,plain,aElement0(xx),inference(resolution,status(thm),[c548, c93])).
% 0.80/0.98 cnf(reflexivity,axiom,X140=X140,eq_axiom).
% 0.80/0.98 fof(m__2357,plain,((((aSet0(sdtmndt0(xQ,xy))&(![W0]:(aElementOf0(W0,sdtmndt0(xQ,xy))<=>((aElement0(W0)&aElementOf0(W0,xQ))&W0!=xy))))&aSet0(xP))&(![W0]:(aElementOf0(W0,xP)<=>(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xQ,xy))|W0=xx)))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),input).
% 0.80/0.98 fof(c26,plain,((((aSet0(sdtmndt0(xQ,xy))&(![W0]:((~aElementOf0(W0,sdtmndt0(xQ,xy))|((aElement0(W0)&aElementOf0(W0,xQ))&W0!=xy))&(((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=xy)|aElementOf0(W0,sdtmndt0(xQ,xy))))))&aSet0(xP))&(![W0]:((~aElementOf0(W0,xP)|(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xQ,xy))|W0=xx)))&((~aElement0(W0)|(~aElementOf0(W0,sdtmndt0(xQ,xy))&W0!=xx))|aElementOf0(W0,xP)))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(fof_nnf,status(thm),[m__2357])).
% 0.80/0.98 fof(c27,plain,((((aSet0(sdtmndt0(xQ,xy))&((![W0]:(~aElementOf0(W0,sdtmndt0(xQ,xy))|((aElement0(W0)&aElementOf0(W0,xQ))&W0!=xy)))&(![W0]:(((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=xy)|aElementOf0(W0,sdtmndt0(xQ,xy))))))&aSet0(xP))&((![W0]:(~aElementOf0(W0,xP)|(aElement0(W0)&(aElementOf0(W0,sdtmndt0(xQ,xy))|W0=xx))))&(![W0]:((~aElement0(W0)|(~aElementOf0(W0,sdtmndt0(xQ,xy))&W0!=xx))|aElementOf0(W0,xP)))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(shift_quantors,status(thm),[c26])).
% 0.80/0.98 fof(c29,plain,(![X3]:(![X4]:(![X5]:(![X6]:((((aSet0(sdtmndt0(xQ,xy))&((~aElementOf0(X3,sdtmndt0(xQ,xy))|((aElement0(X3)&aElementOf0(X3,xQ))&X3!=xy))&(((~aElement0(X4)|~aElementOf0(X4,xQ))|X4=xy)|aElementOf0(X4,sdtmndt0(xQ,xy)))))&aSet0(xP))&((~aElementOf0(X5,xP)|(aElement0(X5)&(aElementOf0(X5,sdtmndt0(xQ,xy))|X5=xx)))&((~aElement0(X6)|(~aElementOf0(X6,sdtmndt0(xQ,xy))&X6!=xx))|aElementOf0(X6,xP))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)))))),inference(shift_quantors,status(thm),[fof(c28,plain,((((aSet0(sdtmndt0(xQ,xy))&((![X3]:(~aElementOf0(X3,sdtmndt0(xQ,xy))|((aElement0(X3)&aElementOf0(X3,xQ))&X3!=xy)))&(![X4]:(((~aElement0(X4)|~aElementOf0(X4,xQ))|X4=xy)|aElementOf0(X4,sdtmndt0(xQ,xy))))))&aSet0(xP))&((![X5]:(~aElementOf0(X5,xP)|(aElement0(X5)&(aElementOf0(X5,sdtmndt0(xQ,xy))|X5=xx))))&(![X6]:((~aElement0(X6)|(~aElementOf0(X6,sdtmndt0(xQ,xy))&X6!=xx))|aElementOf0(X6,xP)))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)),inference(variable_rename,status(thm),[c27])).])).
% 0.80/0.98 fof(c30,plain,(![X3]:(![X4]:(![X5]:(![X6]:((((aSet0(sdtmndt0(xQ,xy))&((((~aElementOf0(X3,sdtmndt0(xQ,xy))|aElement0(X3))&(~aElementOf0(X3,sdtmndt0(xQ,xy))|aElementOf0(X3,xQ)))&(~aElementOf0(X3,sdtmndt0(xQ,xy))|X3!=xy))&(((~aElement0(X4)|~aElementOf0(X4,xQ))|X4=xy)|aElementOf0(X4,sdtmndt0(xQ,xy)))))&aSet0(xP))&(((~aElementOf0(X5,xP)|aElement0(X5))&(~aElementOf0(X5,xP)|(aElementOf0(X5,sdtmndt0(xQ,xy))|X5=xx)))&(((~aElement0(X6)|~aElementOf0(X6,sdtmndt0(xQ,xy)))|aElementOf0(X6,xP))&((~aElement0(X6)|X6!=xx)|aElementOf0(X6,xP)))))&xP=sdtpldt0(sdtmndt0(xQ,xy),xx)))))),inference(distribute,status(thm),[c29])).
% 0.80/0.98 cnf(c40,plain,~aElement0(X226)|X226!=xx|aElementOf0(X226,xP),inference(split_conjunct,status(thm),[c30])).
% 0.80/0.98 cnf(c555,plain,~aElement0(xx)|aElementOf0(xx,xP),inference(resolution,status(thm),[c40, reflexivity])).
% 0.80/0.98 cnf(c620,plain,aElementOf0(xx,xP),inference(resolution,status(thm),[c555, c552])).
% 0.80/0.98 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).
% 0.80/0.98 fof(c60,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])).
% 0.80/0.98 fof(c61,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),[c60])).
% 0.80/0.98 fof(c62,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&((![X8]:(~aElementOf0(X8,slbdtsldtrb0(xS,xk))|(((aSet0(X8)&(![X9]:(~aElementOf0(X9,X8)|aElementOf0(X9,xS))))&aSubsetOf0(X8,xS))&sbrdtbr0(X8)=xk)))&(![X10]:((((~aSet0(X10)|(?[X11]:(aElementOf0(X11,X10)&~aElementOf0(X11,xS))))&~aSubsetOf0(X10,xS))|sbrdtbr0(X10)!=xk)|aElementOf0(X10,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![X12]:(~aElementOf0(X12,slbdtsldtrb0(xT,xk))|(((aSet0(X12)&(![X13]:(~aElementOf0(X13,X12)|aElementOf0(X13,xT))))&aSubsetOf0(X12,xT))&sbrdtbr0(X12)=xk)))&(![X14]:((((~aSet0(X14)|(?[X15]:(aElementOf0(X15,X14)&~aElementOf0(X15,xT))))&~aSubsetOf0(X14,xT))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xT,xk))))))&(![X16]:(~aElementOf0(X16,slbdtsldtrb0(xS,xk))|aElementOf0(X16,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![X17]:(~aElementOf0(X17,slbdtsldtrb0(xS,xk))|(((aSet0(X17)&(![X18]:(~aElementOf0(X18,X17)|aElementOf0(X18,xS))))&aSubsetOf0(X17,xS))&sbrdtbr0(X17)=xk)))&(![X19]:((((~aSet0(X19)|(?[X20]:(aElementOf0(X20,X19)&~aElementOf0(X20,xS))))&~aSubsetOf0(X19,xS))|sbrdtbr0(X19)!=xk)|aElementOf0(X19,slbdtsldtrb0(xS,xk)))))&((?[X21]:aElementOf0(X21,slbdtsldtrb0(xS,xk)))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(variable_rename,status(thm),[c61])).
% 0.80/0.98 fof(c64,plain,(![X8]:(![X9]:(![X10]:(![X12]:(![X13]:(![X14]:(![X16]:(![X17]:(![X18]:(![X19]:((((((aSet0(slbdtsldtrb0(xS,xk))&((~aElementOf0(X8,slbdtsldtrb0(xS,xk))|(((aSet0(X8)&(~aElementOf0(X9,X8)|aElementOf0(X9,xS)))&aSubsetOf0(X8,xS))&sbrdtbr0(X8)=xk))&((((~aSet0(X10)|(aElementOf0(skolem0001(X10),X10)&~aElementOf0(skolem0001(X10),xS)))&~aSubsetOf0(X10,xS))|sbrdtbr0(X10)!=xk)|aElementOf0(X10,slbdtsldtrb0(xS,xk)))))&aSet0(slbdtsldtrb0(xT,xk)))&((~aElementOf0(X12,slbdtsldtrb0(xT,xk))|(((aSet0(X12)&(~aElementOf0(X13,X12)|aElementOf0(X13,xT)))&aSubsetOf0(X12,xT))&sbrdtbr0(X12)=xk))&((((~aSet0(X14)|(aElementOf0(skolem0002(X14),X14)&~aElementOf0(skolem0002(X14),xT)))&~aSubsetOf0(X14,xT))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xT,xk)))))&(~aElementOf0(X16,slbdtsldtrb0(xS,xk))|aElementOf0(X16,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((~aElementOf0(X17,slbdtsldtrb0(xS,xk))|(((aSet0(X17)&(~aElementOf0(X18,X17)|aElementOf0(X18,xS)))&aSubsetOf0(X17,xS))&sbrdtbr0(X17)=xk))&((((~aSet0(X19)|(aElementOf0(skolem0003(X19),X19)&~aElementOf0(skolem0003(X19),xS)))&~aSubsetOf0(X19,xS))|sbrdtbr0(X19)!=xk)|aElementOf0(X19,slbdtsldtrb0(xS,xk))))&(aElementOf0(skolem0004,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))))))))))))),inference(shift_quantors,status(thm),[fof(c63,plain,((((((aSet0(slbdtsldtrb0(xS,xk))&((![X8]:(~aElementOf0(X8,slbdtsldtrb0(xS,xk))|(((aSet0(X8)&(![X9]:(~aElementOf0(X9,X8)|aElementOf0(X9,xS))))&aSubsetOf0(X8,xS))&sbrdtbr0(X8)=xk)))&(![X10]:((((~aSet0(X10)|(aElementOf0(skolem0001(X10),X10)&~aElementOf0(skolem0001(X10),xS)))&~aSubsetOf0(X10,xS))|sbrdtbr0(X10)!=xk)|aElementOf0(X10,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&((![X12]:(~aElementOf0(X12,slbdtsldtrb0(xT,xk))|(((aSet0(X12)&(![X13]:(~aElementOf0(X13,X12)|aElementOf0(X13,xT))))&aSubsetOf0(X12,xT))&sbrdtbr0(X12)=xk)))&(![X14]:((((~aSet0(X14)|(aElementOf0(skolem0002(X14),X14)&~aElementOf0(skolem0002(X14),xT)))&~aSubsetOf0(X14,xT))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xT,xk))))))&(![X16]:(~aElementOf0(X16,slbdtsldtrb0(xS,xk))|aElementOf0(X16,slbdtsldtrb0(xT,xk)))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&(((![X17]:(~aElementOf0(X17,slbdtsldtrb0(xS,xk))|(((aSet0(X17)&(![X18]:(~aElementOf0(X18,X17)|aElementOf0(X18,xS))))&aSubsetOf0(X17,xS))&sbrdtbr0(X17)=xk)))&(![X19]:((((~aSet0(X19)|(aElementOf0(skolem0003(X19),X19)&~aElementOf0(skolem0003(X19),xS)))&~aSubsetOf0(X19,xS))|sbrdtbr0(X19)!=xk)|aElementOf0(X19,slbdtsldtrb0(xS,xk)))))&(aElementOf0(skolem0004,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))),inference(skolemize,status(esa),[c62])).])).
% 0.80/0.98 fof(c65,plain,(![X8]:(![X9]:(![X10]:(![X12]:(![X13]:(![X14]:(![X16]:(![X17]:(![X18]:(![X19]:((((((aSet0(slbdtsldtrb0(xS,xk))&(((((~aElementOf0(X8,slbdtsldtrb0(xS,xk))|aSet0(X8))&(~aElementOf0(X8,slbdtsldtrb0(xS,xk))|(~aElementOf0(X9,X8)|aElementOf0(X9,xS))))&(~aElementOf0(X8,slbdtsldtrb0(xS,xk))|aSubsetOf0(X8,xS)))&(~aElementOf0(X8,slbdtsldtrb0(xS,xk))|sbrdtbr0(X8)=xk))&(((((~aSet0(X10)|aElementOf0(skolem0001(X10),X10))|sbrdtbr0(X10)!=xk)|aElementOf0(X10,slbdtsldtrb0(xS,xk)))&(((~aSet0(X10)|~aElementOf0(skolem0001(X10),xS))|sbrdtbr0(X10)!=xk)|aElementOf0(X10,slbdtsldtrb0(xS,xk))))&((~aSubsetOf0(X10,xS)|sbrdtbr0(X10)!=xk)|aElementOf0(X10,slbdtsldtrb0(xS,xk))))))&aSet0(slbdtsldtrb0(xT,xk)))&(((((~aElementOf0(X12,slbdtsldtrb0(xT,xk))|aSet0(X12))&(~aElementOf0(X12,slbdtsldtrb0(xT,xk))|(~aElementOf0(X13,X12)|aElementOf0(X13,xT))))&(~aElementOf0(X12,slbdtsldtrb0(xT,xk))|aSubsetOf0(X12,xT)))&(~aElementOf0(X12,slbdtsldtrb0(xT,xk))|sbrdtbr0(X12)=xk))&(((((~aSet0(X14)|aElementOf0(skolem0002(X14),X14))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xT,xk)))&(((~aSet0(X14)|~aElementOf0(skolem0002(X14),xT))|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xT,xk))))&((~aSubsetOf0(X14,xT)|sbrdtbr0(X14)!=xk)|aElementOf0(X14,slbdtsldtrb0(xT,xk))))))&(~aElementOf0(X16,slbdtsldtrb0(xS,xk))|aElementOf0(X16,slbdtsldtrb0(xT,xk))))&aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)))&((((((~aElementOf0(X17,slbdtsldtrb0(xS,xk))|aSet0(X17))&(~aElementOf0(X17,slbdtsldtrb0(xS,xk))|(~aElementOf0(X18,X17)|aElementOf0(X18,xS))))&(~aElementOf0(X17,slbdtsldtrb0(xS,xk))|aSubsetOf0(X17,xS)))&(~aElementOf0(X17,slbdtsldtrb0(xS,xk))|sbrdtbr0(X17)=xk))&(((((~aSet0(X19)|aElementOf0(skolem0003(X19),X19))|sbrdtbr0(X19)!=xk)|aElementOf0(X19,slbdtsldtrb0(xS,xk)))&(((~aSet0(X19)|~aElementOf0(skolem0003(X19),xS))|sbrdtbr0(X19)!=xk)|aElementOf0(X19,slbdtsldtrb0(xS,xk))))&((~aSubsetOf0(X19,xS)|sbrdtbr0(X19)!=xk)|aElementOf0(X19,slbdtsldtrb0(xS,xk)))))&(aElementOf0(skolem0004,slbdtsldtrb0(xS,xk))&slbdtsldtrb0(xS,xk)!=slcrc0))))))))))))),inference(distribute,status(thm),[c64])).
% 0.80/0.98 cnf(c76,plain,~aElementOf0(X239,slbdtsldtrb0(xT,xk))|~aElementOf0(X240,X239)|aElementOf0(X240,xT),inference(split_conjunct,status(thm),[c65])).
% 0.80/0.98 fof(m__2378,plain,((((![W0]:(aElementOf0(W0,xP)=>aElementOf0(W0,xS)))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk))),input).
% 0.80/0.98 fof(c19,plain,((((![W0]:(~aElementOf0(W0,xP)|aElementOf0(W0,xS)))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(fof_nnf,status(thm),[m__2378])).
% 0.80/0.98 fof(c21,plain,(![X2]:((((~aElementOf0(X2,xP)|aElementOf0(X2,xS))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk)))),inference(shift_quantors,status(thm),[fof(c20,plain,((((![X2]:(~aElementOf0(X2,xP)|aElementOf0(X2,xS)))&aSubsetOf0(xP,xS))&sbrdtbr0(xP)=xk)&aElementOf0(xP,slbdtsldtrb0(xS,xk))),inference(variable_rename,status(thm),[c19])).])).
% 0.80/0.98 cnf(c25,plain,aElementOf0(xP,slbdtsldtrb0(xS,xk)),inference(split_conjunct,status(thm),[c21])).
% 0.80/0.98 cnf(c82,plain,~aElementOf0(X253,slbdtsldtrb0(xS,xk))|aElementOf0(X253,slbdtsldtrb0(xT,xk)),inference(split_conjunct,status(thm),[c65])).
% 0.80/0.98 cnf(c698,plain,aElementOf0(xP,slbdtsldtrb0(xT,xk)),inference(resolution,status(thm),[c82, c25])).
% 0.80/0.98 cnf(c707,plain,~aElementOf0(X258,xP)|aElementOf0(X258,xT),inference(resolution,status(thm),[c698, c76])).
% 0.80/0.98 cnf(c734,plain,aElementOf0(xx,xT),inference(resolution,status(thm),[c707, c620])).
% 0.80/0.98 cnf(c737,plain,$false,inference(resolution,status(thm),[c734, c18])).
% 0.80/0.98 # SZS output end CNFRefutation
% 0.80/0.98
% 0.80/0.98 # Initial clauses : 189
% 0.80/0.98 # Processed clauses : 191
% 0.80/0.98 # Factors computed : 2
% 0.80/0.98 # Resolvents computed: 362
% 0.80/0.98 # Tautologies deleted: 12
% 0.80/0.98 # Forward subsumed : 69
% 0.80/0.98 # Backward subsumed : 6
% 0.80/0.98 # -------- CPU Time ---------
% 0.80/0.98 # User time : 0.594 s
% 0.80/0.98 # System time : 0.020 s
% 0.80/0.98 # Total time : 0.614 s
%------------------------------------------------------------------------------