TSTP Solution File: NUM548+3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM548+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 2.44s 2.62s
% Output   : Refutation 2.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM548+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 02:15:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.44/2.62  # Version:  1.3
% 2.44/2.62  # SZS status Theorem
% 2.44/2.62  # SZS output start CNFRefutation
% 2.44/2.62  fof(m__,conjecture,isFinite0(xQ),input).
% 2.44/2.62  fof(c16,negated_conjecture,(~isFinite0(xQ)),inference(assume_negation,status(cth),[m__])).
% 2.44/2.62  fof(c17,negated_conjecture,~isFinite0(xQ),inference(fof_simplification,status(thm),[c16])).
% 2.44/2.62  cnf(c18,negated_conjecture,~isFinite0(xQ),inference(split_conjunct,status(thm),[c17])).
% 2.44/2.62  fof(m__2270,plain,((((aSet0(xQ)&(![W0]:(aElementOf0(W0,xQ)=>aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),input).
% 2.44/2.62  fof(c19,plain,((((aSet0(xQ)&(![W0]:(~aElementOf0(W0,xQ)|aElementOf0(W0,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(fof_nnf,status(thm),[m__2270])).
% 2.44/2.62  fof(c21,plain,(![X2]:((((aSet0(xQ)&(~aElementOf0(X2,xQ)|aElementOf0(X2,xS)))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk)))),inference(shift_quantors,status(thm),[fof(c20,plain,((((aSet0(xQ)&(![X2]:(~aElementOf0(X2,xQ)|aElementOf0(X2,xS))))&aSubsetOf0(xQ,xS))&sbrdtbr0(xQ)=xk)&aElementOf0(xQ,slbdtsldtrb0(xS,xk))),inference(variable_rename,status(thm),[c19])).])).
% 2.44/2.62  cnf(c22,plain,aSet0(xQ),inference(split_conjunct,status(thm),[c21])).
% 2.44/2.62  fof(mCardNum,axiom,(![W0]:(aSet0(W0)=>(aElementOf0(sbrdtbr0(W0),szNzAzT0)<=>isFinite0(W0)))),input).
% 2.44/2.62  fof(c175,axiom,(![W0]:(~aSet0(W0)|((~aElementOf0(sbrdtbr0(W0),szNzAzT0)|isFinite0(W0))&(~isFinite0(W0)|aElementOf0(sbrdtbr0(W0),szNzAzT0))))),inference(fof_nnf,status(thm),[mCardNum])).
% 2.44/2.62  fof(c176,axiom,(![X66]:(~aSet0(X66)|((~aElementOf0(sbrdtbr0(X66),szNzAzT0)|isFinite0(X66))&(~isFinite0(X66)|aElementOf0(sbrdtbr0(X66),szNzAzT0))))),inference(variable_rename,status(thm),[c175])).
% 2.44/2.62  fof(c177,axiom,(![X66]:((~aSet0(X66)|(~aElementOf0(sbrdtbr0(X66),szNzAzT0)|isFinite0(X66)))&(~aSet0(X66)|(~isFinite0(X66)|aElementOf0(sbrdtbr0(X66),szNzAzT0))))),inference(distribute,status(thm),[c176])).
% 2.44/2.62  cnf(c178,axiom,~aSet0(X329)|~aElementOf0(sbrdtbr0(X329),szNzAzT0)|isFinite0(X329),inference(split_conjunct,status(thm),[c177])).
% 2.44/2.62  cnf(symmetry,axiom,X136!=X137|X137=X136,eq_axiom).
% 2.44/2.62  cnf(c25,plain,sbrdtbr0(xQ)=xk,inference(split_conjunct,status(thm),[c21])).
% 2.44/2.62  cnf(c350,plain,xk=sbrdtbr0(xQ),inference(resolution,status(thm),[c25, symmetry])).
% 2.44/2.62  cnf(reflexivity,axiom,X135=X135,eq_axiom).
% 2.44/2.62  fof(m__2202,plain,aElementOf0(xk,szNzAzT0),input).
% 2.44/2.62  cnf(c64,plain,aElementOf0(xk,szNzAzT0),inference(split_conjunct,status(thm),[m__2202])).
% 2.44/2.62  cnf(c10,plain,X191!=X192|X193!=X190|~aElementOf0(X191,X193)|aElementOf0(X192,X190),eq_axiom).
% 2.44/2.62  cnf(c439,plain,xk!=X520|szNzAzT0!=X521|aElementOf0(X520,X521),inference(resolution,status(thm),[c10, c64])).
% 2.44/2.62  cnf(c6446,plain,xk!=X522|aElementOf0(X522,szNzAzT0),inference(resolution,status(thm),[c439, reflexivity])).
% 2.44/2.62  cnf(c6482,plain,aElementOf0(sbrdtbr0(xQ),szNzAzT0),inference(resolution,status(thm),[c6446, c350])).
% 2.44/2.62  cnf(c6507,plain,~aSet0(xQ)|isFinite0(xQ),inference(resolution,status(thm),[c6482, c178])).
% 2.44/2.62  cnf(c6564,plain,isFinite0(xQ),inference(resolution,status(thm),[c6507, c22])).
% 2.44/2.62  cnf(c6568,plain,$false,inference(resolution,status(thm),[c6564, c18])).
% 2.44/2.62  # SZS output end CNFRefutation
% 2.44/2.62  
% 2.44/2.62  # Initial clauses    : 167
% 2.44/2.62  # Processed clauses  : 610
% 2.44/2.62  # Factors computed   : 2
% 2.44/2.62  # Resolvents computed: 6227
% 2.44/2.62  # Tautologies deleted: 19
% 2.44/2.62  # Forward subsumed   : 165
% 2.44/2.62  # Backward subsumed  : 17
% 2.44/2.62  # -------- CPU Time ---------
% 2.44/2.62  # User time          : 2.252 s
% 2.44/2.62  # System time        : 0.022 s
% 2.44/2.62  # Total time         : 2.274 s
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