TSTP Solution File: NUM590+3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM590+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 13:37:58 EDT 2022

% Result   : Theorem 34.05s 34.27s
% Output   : Refutation 34.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUM590+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % 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 : Wed Jul  6 14:17:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 34.05/34.27  # Version:  1.3
% 34.05/34.27  # SZS status Theorem
% 34.05/34.27  # SZS output start CNFRefutation
% 34.05/34.27  fof(m__,conjecture,((![W0]:(aElementOf0(W0,xY)=>aElementOf0(W0,szNzAzT0)))|aSubsetOf0(xY,szNzAzT0)),input).
% 34.05/34.27  fof(c23,negated_conjecture,(~((![W0]:(aElementOf0(W0,xY)=>aElementOf0(W0,szNzAzT0)))|aSubsetOf0(xY,szNzAzT0))),inference(assume_negation,status(cth),[m__])).
% 34.05/34.27  fof(c24,negated_conjecture,((?[W0]:(aElementOf0(W0,xY)&~aElementOf0(W0,szNzAzT0)))&~aSubsetOf0(xY,szNzAzT0)),inference(fof_nnf,status(thm),[c23])).
% 34.05/34.27  fof(c25,negated_conjecture,((?[X2]:(aElementOf0(X2,xY)&~aElementOf0(X2,szNzAzT0)))&~aSubsetOf0(xY,szNzAzT0)),inference(variable_rename,status(thm),[c24])).
% 34.05/34.27  fof(c26,negated_conjecture,((aElementOf0(skolem0001,xY)&~aElementOf0(skolem0001,szNzAzT0))&~aSubsetOf0(xY,szNzAzT0)),inference(skolemize,status(esa),[c25])).
% 34.05/34.27  cnf(c28,negated_conjecture,~aElementOf0(skolem0001,szNzAzT0),inference(split_conjunct,status(thm),[c26])).
% 34.05/34.27  fof(m__4448,plain,aElementOf0(xi,szNzAzT0),input).
% 34.05/34.27  cnf(c44,plain,aElementOf0(xi,szNzAzT0),inference(split_conjunct,status(thm),[m__4448])).
% 34.05/34.27  cnf(c27,negated_conjecture,aElementOf0(skolem0001,xY),inference(split_conjunct,status(thm),[c26])).
% 34.05/34.27  fof(m__4448_02,plain,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]:(aElementOf0(W0,sdtlpdtrp0(xN,xi))=>sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&(![W0]:(aElementOf0(W0,xY)<=>((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&W0!=szmzizndt0(sdtlpdtrp0(xN,xi))))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),input).
% 34.05/34.27  fof(c30,plain,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]:(~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&(![W0]:((~aElementOf0(W0,xY)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&W0!=szmzizndt0(sdtlpdtrp0(xN,xi))))&(((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(W0,xY)))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),inference(fof_nnf,status(thm),[m__4448_02])).
% 34.05/34.27  fof(c31,plain,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![W0]:(~aElementOf0(W0,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0))))&aSet0(xY))&((![W0]:(~aElementOf0(W0,xY)|((aElement0(W0)&aElementOf0(W0,sdtlpdtrp0(xN,xi)))&W0!=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![W0]:(((~aElement0(W0)|~aElementOf0(W0,sdtlpdtrp0(xN,xi)))|W0=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(W0,xY)))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),inference(shift_quantors,status(thm),[c30])).
% 34.05/34.27  fof(c33,plain,(![X3]:(![X4]:(![X5]:(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(~aElementOf0(X3,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3)))&aSet0(xY))&((~aElementOf0(X4,xY)|((aElement0(X4)&aElementOf0(X4,sdtlpdtrp0(xN,xi)))&X4!=szmzizndt0(sdtlpdtrp0(xN,xi))))&(((~aElement0(X5)|~aElementOf0(X5,sdtlpdtrp0(xN,xi)))|X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X5,xY))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi))))),inference(shift_quantors,status(thm),[fof(c32,plain,(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(![X3]:(~aElementOf0(X3,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3))))&aSet0(xY))&((![X4]:(~aElementOf0(X4,xY)|((aElement0(X4)&aElementOf0(X4,sdtlpdtrp0(xN,xi)))&X4!=szmzizndt0(sdtlpdtrp0(xN,xi)))))&(![X5]:(((~aElement0(X5)|~aElementOf0(X5,sdtlpdtrp0(xN,xi)))|X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X5,xY)))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi)),inference(variable_rename,status(thm),[c31])).])).
% 34.05/34.27  fof(c34,plain,(![X3]:(![X4]:(![X5]:(((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))&(~aElementOf0(X3,sdtlpdtrp0(xN,xi))|sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3)))&aSet0(xY))&((((~aElementOf0(X4,xY)|aElement0(X4))&(~aElementOf0(X4,xY)|aElementOf0(X4,sdtlpdtrp0(xN,xi))))&(~aElementOf0(X4,xY)|X4!=szmzizndt0(sdtlpdtrp0(xN,xi))))&(((~aElement0(X5)|~aElementOf0(X5,sdtlpdtrp0(xN,xi)))|X5=szmzizndt0(sdtlpdtrp0(xN,xi)))|aElementOf0(X5,xY))))&xY=sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))&xd=sdtlpdtrp0(xC,xi))))),inference(distribute,status(thm),[c33])).
% 34.05/34.27  cnf(c39,plain,~aElementOf0(X361,xY)|aElementOf0(X361,sdtlpdtrp0(xN,xi)),inference(split_conjunct,status(thm),[c34])).
% 34.05/34.27  cnf(c5441,plain,aElementOf0(skolem0001,sdtlpdtrp0(xN,xi)),inference(resolution,status(thm),[c39, c27])).
% 34.05/34.27  fof(m__3671,plain,(![W0]:(aElementOf0(W0,szNzAzT0)=>(((aSet0(sdtlpdtrp0(xN,W0))&(![W1]:(aElementOf0(W1,sdtlpdtrp0(xN,W0))=>aElementOf0(W1,szNzAzT0))))&aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,W0))))),input).
% 34.05/34.27  fof(c708,plain,(![W0]:(~aElementOf0(W0,szNzAzT0)|(((aSet0(sdtlpdtrp0(xN,W0))&(![W1]:(~aElementOf0(W1,sdtlpdtrp0(xN,W0))|aElementOf0(W1,szNzAzT0))))&aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,W0))))),inference(fof_nnf,status(thm),[m__3671])).
% 34.05/34.27  fof(c710,plain,(![X57]:(![X58]:(~aElementOf0(X57,szNzAzT0)|(((aSet0(sdtlpdtrp0(xN,X57))&(~aElementOf0(X58,sdtlpdtrp0(xN,X57))|aElementOf0(X58,szNzAzT0)))&aSubsetOf0(sdtlpdtrp0(xN,X57),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X57)))))),inference(shift_quantors,status(thm),[fof(c709,plain,(![X57]:(~aElementOf0(X57,szNzAzT0)|(((aSet0(sdtlpdtrp0(xN,X57))&(![X58]:(~aElementOf0(X58,sdtlpdtrp0(xN,X57))|aElementOf0(X58,szNzAzT0))))&aSubsetOf0(sdtlpdtrp0(xN,X57),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X57))))),inference(variable_rename,status(thm),[c708])).])).
% 34.05/34.27  fof(c711,plain,(![X57]:(![X58]:((((~aElementOf0(X57,szNzAzT0)|aSet0(sdtlpdtrp0(xN,X57)))&(~aElementOf0(X57,szNzAzT0)|(~aElementOf0(X58,sdtlpdtrp0(xN,X57))|aElementOf0(X58,szNzAzT0))))&(~aElementOf0(X57,szNzAzT0)|aSubsetOf0(sdtlpdtrp0(xN,X57),szNzAzT0)))&(~aElementOf0(X57,szNzAzT0)|isCountable0(sdtlpdtrp0(xN,X57)))))),inference(distribute,status(thm),[c710])).
% 34.05/34.27  cnf(c713,plain,~aElementOf0(X3013,szNzAzT0)|~aElementOf0(X3012,sdtlpdtrp0(xN,X3013))|aElementOf0(X3012,szNzAzT0),inference(split_conjunct,status(thm),[c711])).
% 34.05/34.27  cnf(c21376,plain,~aElementOf0(xi,szNzAzT0)|aElementOf0(skolem0001,szNzAzT0),inference(resolution,status(thm),[c713, c5441])).
% 34.05/34.27  cnf(c21378,plain,aElementOf0(skolem0001,szNzAzT0),inference(resolution,status(thm),[c21376, c44])).
% 34.05/34.27  cnf(c21399,plain,$false,inference(resolution,status(thm),[c21378, c28])).
% 34.05/34.27  # SZS output end CNFRefutation
% 34.05/34.27  
% 34.05/34.27  # Initial clauses    : 4848
% 34.05/34.27  # Processed clauses  : 2971
% 34.05/34.27  # Factors computed   : 73
% 34.05/34.27  # Resolvents computed: 16202
% 34.05/34.27  # Tautologies deleted: 28
% 34.05/34.27  # Forward subsumed   : 933
% 34.05/34.27  # Backward subsumed  : 371
% 34.05/34.27  # -------- CPU Time ---------
% 34.05/34.27  # User time          : 33.839 s
% 34.05/34.27  # System time        : 0.078 s
% 34.05/34.27  # Total time         : 33.917 s
%------------------------------------------------------------------------------