TSTP Solution File: NUM618+3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM618+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 13:38:14 EDT 2022

% Result   : Theorem 13.23s 13.40s
% Output   : Refutation 13.23s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM618+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jul  7 19:03:44 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 13.23/13.40  # Version:  1.3
% 13.23/13.40  # SZS status Theorem
% 13.23/13.40  # SZS output start CNFRefutation
% 13.23/13.40  fof(m__5348,plain,(((aElement0(xx)&aElementOf0(xx,xQ))&xx!=szmzizndt0(xQ))&aElementOf0(xx,xP)),input).
% 13.23/13.40  cnf(c35,plain,aElementOf0(xx,xP),inference(split_conjunct,status(thm),[m__5348])).
% 13.23/13.40  fof(m__5208,plain,((![W0]:(aElementOf0(W0,xP)=>aElementOf0(W0,xO)))&aSubsetOf0(xP,xO)),input).
% 13.23/13.40  fof(c44,plain,((![W0]:(~aElementOf0(W0,xP)|aElementOf0(W0,xO)))&aSubsetOf0(xP,xO)),inference(fof_nnf,status(thm),[m__5208])).
% 13.23/13.40  fof(c46,plain,(![X4]:((~aElementOf0(X4,xP)|aElementOf0(X4,xO))&aSubsetOf0(xP,xO))),inference(shift_quantors,status(thm),[fof(c45,plain,((![X4]:(~aElementOf0(X4,xP)|aElementOf0(X4,xO)))&aSubsetOf0(xP,xO)),inference(variable_rename,status(thm),[c44])).])).
% 13.23/13.40  cnf(c47,plain,~aElementOf0(X399,xP)|aElementOf0(X399,xO),inference(split_conjunct,status(thm),[c46])).
% 13.23/13.40  cnf(c5822,plain,aElementOf0(xx,xO),inference(resolution,status(thm),[c47, c35])).
% 13.23/13.40  fof(m__4982,plain,(![W0]:(((?[W1]:(aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,W1)=W0))|aElementOf0(W0,xO))=>(?[W1]:(((aElementOf0(W1,szNzAzT0)&sdtlpdtrp0(xd,W1)=szDzizrdt0(xd))&aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,W1)=W0)))),input).
% 13.23/13.40  fof(c110,plain,(![W0]:(((![W1]:(~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,W1)!=W0))&~aElementOf0(W0,xO))|(?[W1]:(((aElementOf0(W1,szNzAzT0)&sdtlpdtrp0(xd,W1)=szDzizrdt0(xd))&aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,W1)=W0)))),inference(fof_nnf,status(thm),[m__4982])).
% 13.23/13.40  fof(c111,plain,(![X18]:(((![X19]:(~aElementOf0(X19,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X19)!=X18))&~aElementOf0(X18,xO))|(?[X20]:(((aElementOf0(X20,szNzAzT0)&sdtlpdtrp0(xd,X20)=szDzizrdt0(xd))&aElementOf0(X20,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,X20)=X18)))),inference(variable_rename,status(thm),[c110])).
% 13.23/13.40  fof(c113,plain,(![X18]:(![X19]:(((~aElementOf0(X19,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X19)!=X18)&~aElementOf0(X18,xO))|(((aElementOf0(skolem0004(X18),szNzAzT0)&sdtlpdtrp0(xd,skolem0004(X18))=szDzizrdt0(xd))&aElementOf0(skolem0004(X18),sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,skolem0004(X18))=X18)))),inference(shift_quantors,status(thm),[fof(c112,plain,(![X18]:(((![X19]:(~aElementOf0(X19,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X19)!=X18))&~aElementOf0(X18,xO))|(((aElementOf0(skolem0004(X18),szNzAzT0)&sdtlpdtrp0(xd,skolem0004(X18))=szDzizrdt0(xd))&aElementOf0(skolem0004(X18),sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,skolem0004(X18))=X18))),inference(skolemize,status(esa),[c111])).])).
% 13.23/13.40  fof(c114,plain,(![X18]:(![X19]:((((((~aElementOf0(X19,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X19)!=X18)|aElementOf0(skolem0004(X18),szNzAzT0))&((~aElementOf0(X19,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X19)!=X18)|sdtlpdtrp0(xd,skolem0004(X18))=szDzizrdt0(xd)))&((~aElementOf0(X19,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X19)!=X18)|aElementOf0(skolem0004(X18),sdtlbdtrb0(xd,szDzizrdt0(xd)))))&((~aElementOf0(X19,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X19)!=X18)|sdtlpdtrp0(xe,skolem0004(X18))=X18))&((((~aElementOf0(X18,xO)|aElementOf0(skolem0004(X18),szNzAzT0))&(~aElementOf0(X18,xO)|sdtlpdtrp0(xd,skolem0004(X18))=szDzizrdt0(xd)))&(~aElementOf0(X18,xO)|aElementOf0(skolem0004(X18),sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(~aElementOf0(X18,xO)|sdtlpdtrp0(xe,skolem0004(X18))=X18))))),inference(distribute,status(thm),[c113])).
% 13.23/13.40  cnf(c119,plain,~aElementOf0(X421,xO)|aElementOf0(skolem0004(X421),szNzAzT0),inference(split_conjunct,status(thm),[c114])).
% 13.23/13.40  cnf(c5980,plain,aElementOf0(skolem0004(xx),szNzAzT0),inference(resolution,status(thm),[c119, c5822])).
% 13.23/13.40  fof(m__,conjecture,(?[W0]:(aElementOf0(W0,szNzAzT0)&xx=sdtlpdtrp0(xe,W0))),input).
% 13.23/13.40  fof(c23,negated_conjecture,(~(?[W0]:(aElementOf0(W0,szNzAzT0)&xx=sdtlpdtrp0(xe,W0)))),inference(assume_negation,status(cth),[m__])).
% 13.23/13.40  fof(c24,negated_conjecture,(![W0]:(~aElementOf0(W0,szNzAzT0)|xx!=sdtlpdtrp0(xe,W0))),inference(fof_nnf,status(thm),[c23])).
% 13.23/13.40  fof(c25,negated_conjecture,(![X2]:(~aElementOf0(X2,szNzAzT0)|xx!=sdtlpdtrp0(xe,X2))),inference(variable_rename,status(thm),[c24])).
% 13.23/13.40  cnf(c26,negated_conjecture,~aElementOf0(X398,szNzAzT0)|xx!=sdtlpdtrp0(xe,X398),inference(split_conjunct,status(thm),[c25])).
% 13.23/13.40  cnf(symmetry,axiom,X301!=X302|X302=X301,eq_axiom).
% 13.23/13.40  cnf(c122,plain,~aElementOf0(X425,xO)|sdtlpdtrp0(xe,skolem0004(X425))=X425,inference(split_conjunct,status(thm),[c114])).
% 13.23/13.40  cnf(c6017,plain,sdtlpdtrp0(xe,skolem0004(xx))=xx,inference(resolution,status(thm),[c122, c5822])).
% 13.23/13.40  cnf(c10249,plain,xx=sdtlpdtrp0(xe,skolem0004(xx)),inference(resolution,status(thm),[c6017, symmetry])).
% 13.23/13.40  cnf(c10890,plain,~aElementOf0(skolem0004(xx),szNzAzT0),inference(resolution,status(thm),[c10249, c26])).
% 13.23/13.40  cnf(c10892,plain,$false,inference(resolution,status(thm),[c10890, c5980])).
% 13.23/13.40  # SZS output end CNFRefutation
% 13.23/13.40  
% 13.23/13.40  # Initial clauses    : 4946
% 13.23/13.40  # Processed clauses  : 1129
% 13.23/13.40  # Factors computed   : 0
% 13.23/13.40  # Resolvents computed: 5600
% 13.23/13.40  # Tautologies deleted: 26
% 13.23/13.40  # Forward subsumed   : 647
% 13.23/13.40  # Backward subsumed  : 73
% 13.23/13.40  # -------- CPU Time ---------
% 13.23/13.40  # User time          : 12.978 s
% 13.23/13.40  # System time        : 0.058 s
% 13.23/13.40  # Total time         : 13.036 s
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