TSTP Solution File: RNG089+2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : RNG089+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 20:39:36 EDT 2022

% Result   : Theorem 38.93s 39.13s
% Output   : Refutation 38.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG089+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n019.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 : Mon May 30 10:09:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 38.93/39.13  # Version:  1.3
% 38.93/39.13  # SZS status Theorem
% 38.93/39.13  # SZS output start CNFRefutation
% 38.93/39.13  fof(m__901,plain,(((((?[W0]:(?[W1]:((aElementOf0(W0,xI)&aElementOf0(W1,xJ))&sdtpldt0(W0,W1)=xx)))&aElementOf0(xx,sdtpldt1(xI,xJ)))&(?[W0]:(?[W1]:((aElementOf0(W0,xI)&aElementOf0(W1,xJ))&sdtpldt0(W0,W1)=xy))))&aElementOf0(xy,sdtpldt1(xI,xJ)))&aElement0(xz)),input).
% 38.93/39.13  fof(c20,plain,(((((?[X2]:(?[X3]:((aElementOf0(X2,xI)&aElementOf0(X3,xJ))&sdtpldt0(X2,X3)=xx)))&aElementOf0(xx,sdtpldt1(xI,xJ)))&(?[X4]:(?[X5]:((aElementOf0(X4,xI)&aElementOf0(X5,xJ))&sdtpldt0(X4,X5)=xy))))&aElementOf0(xy,sdtpldt1(xI,xJ)))&aElement0(xz)),inference(variable_rename,status(thm),[m__901])).
% 38.93/39.13  fof(c21,plain,((((((aElementOf0(skolem0001,xI)&aElementOf0(skolem0002,xJ))&sdtpldt0(skolem0001,skolem0002)=xx)&aElementOf0(xx,sdtpldt1(xI,xJ)))&((aElementOf0(skolem0003,xI)&aElementOf0(skolem0004,xJ))&sdtpldt0(skolem0003,skolem0004)=xy))&aElementOf0(xy,sdtpldt1(xI,xJ)))&aElement0(xz)),inference(skolemize,status(esa),[c20])).
% 38.93/39.13  cnf(c30,plain,aElement0(xz),inference(split_conjunct,status(thm),[c21])).
% 38.93/39.13  fof(m__934,plain,((aElementOf0(xk,xI)&aElementOf0(xl,xJ))&xx=sdtpldt0(xk,xl)),input).
% 38.93/39.13  cnf(c17,plain,aElementOf0(xk,xI),inference(split_conjunct,status(thm),[m__934])).
% 38.93/39.13  fof(m__870,plain,(((((aSet0(xI)&(![W0]:(aElementOf0(W0,xI)=>((![W1]:(aElementOf0(W1,xI)=>aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]:(aElement0(W1)=>aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&aSet0(xJ))&(![W0]:(aElementOf0(W0,xJ)=>((![W1]:(aElementOf0(W1,xJ)=>aElementOf0(sdtpldt0(W0,W1),xJ)))&(![W1]:(aElement0(W1)=>aElementOf0(sdtasdt0(W1,W0),xJ)))))))&aIdeal0(xJ)),input).
% 38.93/39.13  fof(c31,plain,(((((aSet0(xI)&(![W0]:(~aElementOf0(W0,xI)|((![W1]:(~aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]:(~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&aSet0(xJ))&(![W0]:(~aElementOf0(W0,xJ)|((![W1]:(~aElementOf0(W1,xJ)|aElementOf0(sdtpldt0(W0,W1),xJ)))&(![W1]:(~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xJ)))))))&aIdeal0(xJ)),inference(fof_nnf,status(thm),[m__870])).
% 38.93/39.13  fof(c33,plain,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(((((aSet0(xI)&(~aElementOf0(X6,xI)|((~aElementOf0(X7,xI)|aElementOf0(sdtpldt0(X6,X7),xI))&(~aElement0(X8)|aElementOf0(sdtasdt0(X8,X6),xI)))))&aIdeal0(xI))&aSet0(xJ))&(~aElementOf0(X9,xJ)|((~aElementOf0(X10,xJ)|aElementOf0(sdtpldt0(X9,X10),xJ))&(~aElement0(X11)|aElementOf0(sdtasdt0(X11,X9),xJ)))))&aIdeal0(xJ)))))))),inference(shift_quantors,status(thm),[fof(c32,plain,(((((aSet0(xI)&(![X6]:(~aElementOf0(X6,xI)|((![X7]:(~aElementOf0(X7,xI)|aElementOf0(sdtpldt0(X6,X7),xI)))&(![X8]:(~aElement0(X8)|aElementOf0(sdtasdt0(X8,X6),xI)))))))&aIdeal0(xI))&aSet0(xJ))&(![X9]:(~aElementOf0(X9,xJ)|((![X10]:(~aElementOf0(X10,xJ)|aElementOf0(sdtpldt0(X9,X10),xJ)))&(![X11]:(~aElement0(X11)|aElementOf0(sdtasdt0(X11,X9),xJ)))))))&aIdeal0(xJ)),inference(variable_rename,status(thm),[c31])).])).
% 38.93/39.13  fof(c34,plain,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(((((aSet0(xI)&((~aElementOf0(X6,xI)|(~aElementOf0(X7,xI)|aElementOf0(sdtpldt0(X6,X7),xI)))&(~aElementOf0(X6,xI)|(~aElement0(X8)|aElementOf0(sdtasdt0(X8,X6),xI)))))&aIdeal0(xI))&aSet0(xJ))&((~aElementOf0(X9,xJ)|(~aElementOf0(X10,xJ)|aElementOf0(sdtpldt0(X9,X10),xJ)))&(~aElementOf0(X9,xJ)|(~aElement0(X11)|aElementOf0(sdtasdt0(X11,X9),xJ)))))&aIdeal0(xJ)))))))),inference(distribute,status(thm),[c33])).
% 38.93/39.13  cnf(c37,plain,~aElementOf0(X120,xI)|~aElement0(X121)|aElementOf0(sdtasdt0(X121,X120),xI),inference(split_conjunct,status(thm),[c34])).
% 38.93/39.13  cnf(c259,plain,~aElement0(X338)|aElementOf0(sdtasdt0(X338,xk),xI),inference(resolution,status(thm),[c37, c17])).
% 38.93/39.13  cnf(c19113,plain,aElementOf0(sdtasdt0(xz,xk),xI),inference(resolution,status(thm),[c259, c30])).
% 38.93/39.13  fof(m__,conjecture,(aElementOf0(sdtasdt0(xz,xk),xI)&aElementOf0(sdtasdt0(xz,xl),xJ)),input).
% 38.93/39.13  fof(c9,negated_conjecture,(~(aElementOf0(sdtasdt0(xz,xk),xI)&aElementOf0(sdtasdt0(xz,xl),xJ))),inference(assume_negation,status(cth),[m__])).
% 38.93/39.13  fof(c10,negated_conjecture,(~aElementOf0(sdtasdt0(xz,xk),xI)|~aElementOf0(sdtasdt0(xz,xl),xJ)),inference(fof_nnf,status(thm),[c9])).
% 38.93/39.13  cnf(c11,negated_conjecture,~aElementOf0(sdtasdt0(xz,xk),xI)|~aElementOf0(sdtasdt0(xz,xl),xJ),inference(split_conjunct,status(thm),[c10])).
% 38.93/39.13  cnf(c18,plain,aElementOf0(xl,xJ),inference(split_conjunct,status(thm),[m__934])).
% 38.93/39.13  cnf(c41,plain,~aElementOf0(X124,xJ)|~aElement0(X125)|aElementOf0(sdtasdt0(X125,X124),xJ),inference(split_conjunct,status(thm),[c34])).
% 38.93/39.13  cnf(c278,plain,~aElement0(X356)|aElementOf0(sdtasdt0(X356,xl),xJ),inference(resolution,status(thm),[c41, c18])).
% 38.93/39.13  cnf(c22097,plain,aElementOf0(sdtasdt0(xz,xl),xJ),inference(resolution,status(thm),[c278, c30])).
% 38.93/39.13  cnf(c67262,plain,~aElementOf0(sdtasdt0(xz,xk),xI),inference(resolution,status(thm),[c22097, c11])).
% 38.93/39.13  cnf(c77569,plain,$false,inference(resolution,status(thm),[c67262, c19113])).
% 38.93/39.13  # SZS output end CNFRefutation
% 38.93/39.13  
% 38.93/39.13  # Initial clauses    : 92
% 38.93/39.13  # Processed clauses  : 1726
% 38.93/39.13  # Factors computed   : 0
% 38.93/39.13  # Resolvents computed: 77412
% 38.93/39.13  # Tautologies deleted: 4
% 38.93/39.13  # Forward subsumed   : 163
% 38.93/39.13  # Backward subsumed  : 14
% 38.93/39.13  # -------- CPU Time ---------
% 38.93/39.13  # User time          : 38.643 s
% 38.93/39.13  # System time        : 0.155 s
% 38.93/39.13  # Total time         : 38.798 s
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