TSTP Solution File: NUM602+3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM602+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 13:38:04 EDT 2022

% Result   : Theorem 8.31s 8.51s
% Output   : Refutation 8.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM602+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul  5 04:49:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 8.31/8.51  # Version:  1.3
% 8.31/8.51  # SZS status Theorem
% 8.31/8.51  # SZS output start CNFRefutation
% 8.31/8.51  fof(m__5009,plain,((?[W0]:(aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,W0)=xx))&aElementOf0(xx,xO)),input).
% 8.31/8.51  fof(c27,plain,((?[X3]:(aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X3)=xx))&aElementOf0(xx,xO)),inference(variable_rename,status(thm),[m__5009])).
% 8.31/8.51  fof(c28,plain,((aElementOf0(skolem0001,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,skolem0001)=xx)&aElementOf0(xx,xO)),inference(skolemize,status(esa),[c27])).
% 8.31/8.51  cnf(c31,plain,aElementOf0(xx,xO),inference(split_conjunct,status(thm),[c28])).
% 8.31/8.51  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).
% 8.31/8.51  fof(c32,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])).
% 8.31/8.51  fof(c33,plain,(![X4]:(((![X5]:(~aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X5)!=X4))&~aElementOf0(X4,xO))|(?[X6]:(((aElementOf0(X6,szNzAzT0)&sdtlpdtrp0(xd,X6)=szDzizrdt0(xd))&aElementOf0(X6,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,X6)=X4)))),inference(variable_rename,status(thm),[c32])).
% 8.31/8.51  fof(c35,plain,(![X4]:(![X5]:(((~aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X5)!=X4)&~aElementOf0(X4,xO))|(((aElementOf0(skolem0002(X4),szNzAzT0)&sdtlpdtrp0(xd,skolem0002(X4))=szDzizrdt0(xd))&aElementOf0(skolem0002(X4),sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,skolem0002(X4))=X4)))),inference(shift_quantors,status(thm),[fof(c34,plain,(![X4]:(((![X5]:(~aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X5)!=X4))&~aElementOf0(X4,xO))|(((aElementOf0(skolem0002(X4),szNzAzT0)&sdtlpdtrp0(xd,skolem0002(X4))=szDzizrdt0(xd))&aElementOf0(skolem0002(X4),sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,skolem0002(X4))=X4))),inference(skolemize,status(esa),[c33])).])).
% 8.31/8.51  fof(c36,plain,(![X4]:(![X5]:((((((~aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X5)!=X4)|aElementOf0(skolem0002(X4),szNzAzT0))&((~aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X5)!=X4)|sdtlpdtrp0(xd,skolem0002(X4))=szDzizrdt0(xd)))&((~aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X5)!=X4)|aElementOf0(skolem0002(X4),sdtlbdtrb0(xd,szDzizrdt0(xd)))))&((~aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))|sdtlpdtrp0(xe,X5)!=X4)|sdtlpdtrp0(xe,skolem0002(X4))=X4))&((((~aElementOf0(X4,xO)|aElementOf0(skolem0002(X4),szNzAzT0))&(~aElementOf0(X4,xO)|sdtlpdtrp0(xd,skolem0002(X4))=szDzizrdt0(xd)))&(~aElementOf0(X4,xO)|aElementOf0(skolem0002(X4),sdtlbdtrb0(xd,szDzizrdt0(xd)))))&(~aElementOf0(X4,xO)|sdtlpdtrp0(xe,skolem0002(X4))=X4))))),inference(distribute,status(thm),[c35])).
% 8.31/8.51  cnf(c41,plain,~aElementOf0(X402,xO)|aElementOf0(skolem0002(X402),szNzAzT0),inference(split_conjunct,status(thm),[c36])).
% 8.31/8.51  cnf(c5637,plain,aElementOf0(skolem0002(xx),szNzAzT0),inference(resolution,status(thm),[c41, c31])).
% 8.31/8.51  fof(m__,conjecture,(?[W0]:(aElementOf0(W0,szNzAzT0)&sdtlpdtrp0(xe,W0)=xx)),input).
% 8.31/8.51  fof(c23,negated_conjecture,(~(?[W0]:(aElementOf0(W0,szNzAzT0)&sdtlpdtrp0(xe,W0)=xx))),inference(assume_negation,status(cth),[m__])).
% 8.31/8.51  fof(c24,negated_conjecture,(![W0]:(~aElementOf0(W0,szNzAzT0)|sdtlpdtrp0(xe,W0)!=xx)),inference(fof_nnf,status(thm),[c23])).
% 8.31/8.51  fof(c25,negated_conjecture,(![X2]:(~aElementOf0(X2,szNzAzT0)|sdtlpdtrp0(xe,X2)!=xx)),inference(variable_rename,status(thm),[c24])).
% 8.31/8.51  cnf(c26,negated_conjecture,~aElementOf0(X385,szNzAzT0)|sdtlpdtrp0(xe,X385)!=xx,inference(split_conjunct,status(thm),[c25])).
% 8.31/8.51  cnf(c44,plain,~aElementOf0(X405,xO)|sdtlpdtrp0(xe,skolem0002(X405))=X405,inference(split_conjunct,status(thm),[c36])).
% 8.31/8.51  cnf(c5662,plain,sdtlpdtrp0(xe,skolem0002(xx))=xx,inference(resolution,status(thm),[c44, c31])).
% 8.31/8.51  cnf(c8156,plain,~aElementOf0(skolem0002(xx),szNzAzT0),inference(resolution,status(thm),[c5662, c26])).
% 8.31/8.51  cnf(c8175,plain,$false,inference(resolution,status(thm),[c8156, c5637])).
% 8.31/8.51  # SZS output end CNFRefutation
% 8.31/8.51  
% 8.31/8.51  # Initial clauses    : 4900
% 8.31/8.51  # Processed clauses  : 496
% 8.31/8.51  # Factors computed   : 0
% 8.31/8.51  # Resolvents computed: 2961
% 8.31/8.51  # Tautologies deleted: 17
% 8.31/8.51  # Forward subsumed   : 166
% 8.31/8.51  # Backward subsumed  : 20
% 8.31/8.51  # -------- CPU Time ---------
% 8.31/8.51  # User time          : 8.107 s
% 8.31/8.51  # System time        : 0.055 s
% 8.31/8.51  # Total time         : 8.162 s
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