TSTP Solution File: NUM551+1 by PyRes---1.3

View Problem - Process Solution

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% File     : PyRes---1.3
% Problem  : NUM551+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 13:37:37 EDT 2022

% Result   : Theorem 53.11s 53.31s
% Output   : Refutation 53.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM551+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n020.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 08:48:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 53.11/53.31  # Version:  1.3
% 53.11/53.31  # SZS status Theorem
% 53.11/53.31  # SZS output start CNFRefutation
% 53.11/53.31  fof(m__,conjecture,(?[W0]:(aElement0(W0)&aElementOf0(W0,xQ))),input).
% 53.11/53.31  fof(c16,negated_conjecture,(~(?[W0]:(aElement0(W0)&aElementOf0(W0,xQ)))),inference(assume_negation,status(cth),[m__])).
% 53.11/53.31  fof(c17,negated_conjecture,(![W0]:(~aElement0(W0)|~aElementOf0(W0,xQ))),inference(fof_nnf,status(thm),[c16])).
% 53.11/53.31  fof(c18,negated_conjecture,(![X2]:(~aElement0(X2)|~aElementOf0(X2,xQ))),inference(variable_rename,status(thm),[c17])).
% 53.11/53.31  cnf(c19,negated_conjecture,~aElement0(X133)|~aElementOf0(X133,xQ),inference(split_conjunct,status(thm),[c18])).
% 53.11/53.31  fof(m__2313,plain,xQ!=slcrc0,input).
% 53.11/53.31  cnf(c20,plain,xQ!=slcrc0,inference(split_conjunct,status(thm),[m__2313])).
% 53.11/53.31  fof(m__2291,plain,((aSet0(xQ)&isFinite0(xQ))&sbrdtbr0(xQ)=xk),input).
% 53.11/53.31  cnf(c21,plain,aSet0(xQ),inference(split_conjunct,status(thm),[m__2291])).
% 53.11/53.31  fof(mDefEmp,plain,(![W0]:(W0=slcrc0<=>(aSet0(W0)&(~(?[W1]:aElementOf0(W1,W0)))))),input).
% 53.11/53.31  fof(c291,plain,(![W0]:((W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0))))&((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(fof_nnf,status(thm),[mDefEmp])).
% 53.11/53.31  fof(c292,plain,((![W0]:(W0!=slcrc0|(aSet0(W0)&(![W1]:~aElementOf0(W1,W0)))))&(![W0]:((~aSet0(W0)|(?[W1]:aElementOf0(W1,W0)))|W0=slcrc0))),inference(shift_quantors,status(thm),[c291])).
% 53.11/53.31  fof(c293,plain,((![X115]:(X115!=slcrc0|(aSet0(X115)&(![X116]:~aElementOf0(X116,X115)))))&(![X117]:((~aSet0(X117)|(?[X118]:aElementOf0(X118,X117)))|X117=slcrc0))),inference(variable_rename,status(thm),[c292])).
% 53.11/53.31  fof(c295,plain,(![X115]:(![X116]:(![X117]:((X115!=slcrc0|(aSet0(X115)&~aElementOf0(X116,X115)))&((~aSet0(X117)|aElementOf0(skolem0011(X117),X117))|X117=slcrc0))))),inference(shift_quantors,status(thm),[fof(c294,plain,((![X115]:(X115!=slcrc0|(aSet0(X115)&(![X116]:~aElementOf0(X116,X115)))))&(![X117]:((~aSet0(X117)|aElementOf0(skolem0011(X117),X117))|X117=slcrc0))),inference(skolemize,status(esa),[c293])).])).
% 53.11/53.31  fof(c296,plain,(![X115]:(![X116]:(![X117]:(((X115!=slcrc0|aSet0(X115))&(X115!=slcrc0|~aElementOf0(X116,X115)))&((~aSet0(X117)|aElementOf0(skolem0011(X117),X117))|X117=slcrc0))))),inference(distribute,status(thm),[c295])).
% 53.11/53.31  cnf(c299,plain,~aSet0(X423)|aElementOf0(skolem0011(X423),X423)|X423=slcrc0,inference(split_conjunct,status(thm),[c296])).
% 53.11/53.31  cnf(c3821,plain,aElementOf0(skolem0011(xQ),xQ)|xQ=slcrc0,inference(resolution,status(thm),[c299, c21])).
% 53.11/53.31  cnf(c87325,plain,aElementOf0(skolem0011(xQ),xQ),inference(resolution,status(thm),[c3821, c20])).
% 53.11/53.31  cnf(c87370,plain,~aElement0(skolem0011(xQ)),inference(resolution,status(thm),[c87325, c19])).
% 53.11/53.31  fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),input).
% 53.11/53.31  fof(c302,axiom,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,status(thm),[mEOfElem])).
% 53.11/53.31  fof(c304,axiom,(![X119]:(![X120]:(~aSet0(X119)|(~aElementOf0(X120,X119)|aElement0(X120))))),inference(shift_quantors,status(thm),[fof(c303,axiom,(![X119]:(~aSet0(X119)|(![X120]:(~aElementOf0(X120,X119)|aElement0(X120))))),inference(variable_rename,status(thm),[c302])).])).
% 53.11/53.31  cnf(c305,axiom,~aSet0(X193)|~aElementOf0(X194,X193)|aElement0(X194),inference(split_conjunct,status(thm),[c304])).
% 53.11/53.31  cnf(c87371,plain,~aSet0(xQ)|aElement0(skolem0011(xQ)),inference(resolution,status(thm),[c87325, c305])).
% 53.11/53.31  cnf(c87377,plain,aElement0(skolem0011(xQ)),inference(resolution,status(thm),[c87371, c21])).
% 53.11/53.31  cnf(c87386,plain,$false,inference(resolution,status(thm),[c87377, c87370])).
% 53.11/53.31  # SZS output end CNFRefutation
% 53.11/53.31  
% 53.11/53.31  # Initial clauses    : 142
% 53.11/53.31  # Processed clauses  : 2396
% 53.11/53.31  # Factors computed   : 0
% 53.11/53.31  # Resolvents computed: 87078
% 53.11/53.31  # Tautologies deleted: 17
% 53.11/53.31  # Forward subsumed   : 249
% 53.11/53.31  # Backward subsumed  : 35
% 53.11/53.31  # -------- CPU Time ---------
% 53.11/53.31  # User time          : 52.743 s
% 53.11/53.31  # System time        : 0.183 s
% 53.11/53.31  # Total time         : 52.926 s
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