TSTP Solution File: NUM560+2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 13:37:42 EDT 2022

% Result   : Theorem 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n006.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 12:03:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.57/0.78  # Version:  1.3
% 0.57/0.78  # SZS status Theorem
% 0.57/0.78  # SZS output start CNFRefutation
% 0.57/0.78  fof(m__,conjecture,((aSet0(sdtlbdtrb0(xF,xy))&(![W0]:(aElementOf0(W0,sdtlbdtrb0(xF,xy))<=>(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy))))=>((![W0]:(aElementOf0(W0,sdtlbdtrb0(xF,xy))=>aElementOf0(W0,szDzozmdt0(xF))))|aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),input).
% 0.57/0.78  fof(c20,negated_conjecture,(~((aSet0(sdtlbdtrb0(xF,xy))&(![W0]:(aElementOf0(W0,sdtlbdtrb0(xF,xy))<=>(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy))))=>((![W0]:(aElementOf0(W0,sdtlbdtrb0(xF,xy))=>aElementOf0(W0,szDzozmdt0(xF))))|aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))))),inference(assume_negation,status(cth),[m__])).
% 0.57/0.78  fof(c21,negated_conjecture,((aSet0(sdtlbdtrb0(xF,xy))&(![W0]:((~aElementOf0(W0,sdtlbdtrb0(xF,xy))|(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy))&((~aElementOf0(W0,szDzozmdt0(xF))|sdtlpdtrp0(xF,W0)!=xy)|aElementOf0(W0,sdtlbdtrb0(xF,xy))))))&((?[W0]:(aElementOf0(W0,sdtlbdtrb0(xF,xy))&~aElementOf0(W0,szDzozmdt0(xF))))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),inference(fof_nnf,status(thm),[c20])).
% 0.57/0.78  fof(c22,negated_conjecture,((aSet0(sdtlbdtrb0(xF,xy))&((![W0]:(~aElementOf0(W0,sdtlbdtrb0(xF,xy))|(aElementOf0(W0,szDzozmdt0(xF))&sdtlpdtrp0(xF,W0)=xy)))&(![W0]:((~aElementOf0(W0,szDzozmdt0(xF))|sdtlpdtrp0(xF,W0)!=xy)|aElementOf0(W0,sdtlbdtrb0(xF,xy))))))&((?[W0]:(aElementOf0(W0,sdtlbdtrb0(xF,xy))&~aElementOf0(W0,szDzozmdt0(xF))))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),inference(shift_quantors,status(thm),[c21])).
% 0.57/0.78  fof(c23,negated_conjecture,((aSet0(sdtlbdtrb0(xF,xy))&((![X2]:(~aElementOf0(X2,sdtlbdtrb0(xF,xy))|(aElementOf0(X2,szDzozmdt0(xF))&sdtlpdtrp0(xF,X2)=xy)))&(![X3]:((~aElementOf0(X3,szDzozmdt0(xF))|sdtlpdtrp0(xF,X3)!=xy)|aElementOf0(X3,sdtlbdtrb0(xF,xy))))))&((?[X4]:(aElementOf0(X4,sdtlbdtrb0(xF,xy))&~aElementOf0(X4,szDzozmdt0(xF))))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),inference(variable_rename,status(thm),[c22])).
% 0.57/0.78  fof(c25,negated_conjecture,(![X2]:(![X3]:((aSet0(sdtlbdtrb0(xF,xy))&((~aElementOf0(X2,sdtlbdtrb0(xF,xy))|(aElementOf0(X2,szDzozmdt0(xF))&sdtlpdtrp0(xF,X2)=xy))&((~aElementOf0(X3,szDzozmdt0(xF))|sdtlpdtrp0(xF,X3)!=xy)|aElementOf0(X3,sdtlbdtrb0(xF,xy)))))&((aElementOf0(skolem0001,sdtlbdtrb0(xF,xy))&~aElementOf0(skolem0001,szDzozmdt0(xF)))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))))),inference(shift_quantors,status(thm),[fof(c24,negated_conjecture,((aSet0(sdtlbdtrb0(xF,xy))&((![X2]:(~aElementOf0(X2,sdtlbdtrb0(xF,xy))|(aElementOf0(X2,szDzozmdt0(xF))&sdtlpdtrp0(xF,X2)=xy)))&(![X3]:((~aElementOf0(X3,szDzozmdt0(xF))|sdtlpdtrp0(xF,X3)!=xy)|aElementOf0(X3,sdtlbdtrb0(xF,xy))))))&((aElementOf0(skolem0001,sdtlbdtrb0(xF,xy))&~aElementOf0(skolem0001,szDzozmdt0(xF)))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))),inference(skolemize,status(esa),[c23])).])).
% 0.57/0.78  fof(c26,negated_conjecture,(![X2]:(![X3]:((aSet0(sdtlbdtrb0(xF,xy))&(((~aElementOf0(X2,sdtlbdtrb0(xF,xy))|aElementOf0(X2,szDzozmdt0(xF)))&(~aElementOf0(X2,sdtlbdtrb0(xF,xy))|sdtlpdtrp0(xF,X2)=xy))&((~aElementOf0(X3,szDzozmdt0(xF))|sdtlpdtrp0(xF,X3)!=xy)|aElementOf0(X3,sdtlbdtrb0(xF,xy)))))&((aElementOf0(skolem0001,sdtlbdtrb0(xF,xy))&~aElementOf0(skolem0001,szDzozmdt0(xF)))&~aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)))))),inference(distribute,status(thm),[c25])).
% 0.57/0.78  cnf(c32,negated_conjecture,~aElementOf0(skolem0001,szDzozmdt0(xF)),inference(split_conjunct,status(thm),[c26])).
% 0.57/0.78  cnf(c31,negated_conjecture,aElementOf0(skolem0001,sdtlbdtrb0(xF,xy)),inference(split_conjunct,status(thm),[c26])).
% 0.57/0.78  cnf(c28,negated_conjecture,~aElementOf0(X238,sdtlbdtrb0(xF,xy))|aElementOf0(X238,szDzozmdt0(xF)),inference(split_conjunct,status(thm),[c26])).
% 0.57/0.78  cnf(c454,plain,aElementOf0(skolem0001,szDzozmdt0(xF)),inference(resolution,status(thm),[c28, c31])).
% 0.57/0.78  cnf(c457,plain,$false,inference(resolution,status(thm),[c454, c32])).
% 0.57/0.78  # SZS output end CNFRefutation
% 0.57/0.78  
% 0.57/0.78  # Initial clauses    : 156
% 0.57/0.78  # Processed clauses  : 86
% 0.57/0.78  # Factors computed   : 0
% 0.57/0.78  # Resolvents computed: 111
% 0.57/0.78  # Tautologies deleted: 8
% 0.57/0.78  # Forward subsumed   : 22
% 0.57/0.78  # Backward subsumed  : 2
% 0.57/0.78  # -------- CPU Time ---------
% 0.57/0.78  # User time          : 0.416 s
% 0.57/0.78  # System time        : 0.018 s
% 0.57/0.78  # Total time         : 0.434 s
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