TSTP Solution File: SEU123+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 : Tue Jul 19 13:35:44 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n029.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 Jun 20 05:46:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.52  # Version:  1.3
% 0.18/0.52  # SZS status Theorem
% 0.18/0.52  # SZS output start CNFRefutation
% 0.18/0.52  fof(t3_xboole_1,conjecture,(![A]:(subset(A,empty_set)=>A=empty_set)),input).
% 0.18/0.52  fof(c12,negated_conjecture,(~(![A]:(subset(A,empty_set)=>A=empty_set))),inference(assume_negation,status(cth),[t3_xboole_1])).
% 0.18/0.52  fof(c13,negated_conjecture,(?[A]:(subset(A,empty_set)&A!=empty_set)),inference(fof_nnf,status(thm),[c12])).
% 0.18/0.52  fof(c14,negated_conjecture,(?[X7]:(subset(X7,empty_set)&X7!=empty_set)),inference(variable_rename,status(thm),[c13])).
% 0.18/0.52  fof(c15,negated_conjecture,(subset(skolem0001,empty_set)&skolem0001!=empty_set),inference(skolemize,status(esa),[c14])).
% 0.18/0.52  cnf(c17,negated_conjecture,skolem0001!=empty_set,inference(split_conjunct,status(thm),[c15])).
% 0.18/0.52  cnf(c16,negated_conjecture,subset(skolem0001,empty_set),inference(split_conjunct,status(thm),[c15])).
% 0.18/0.52  fof(t2_xboole_1,axiom,(![A]:subset(empty_set,A)),input).
% 0.18/0.52  fof(c18,axiom,(![X8]:subset(empty_set,X8)),inference(variable_rename,status(thm),[t2_xboole_1])).
% 0.18/0.52  cnf(c19,axiom,subset(empty_set,X23),inference(split_conjunct,status(thm),[c18])).
% 0.18/0.52  fof(d10_xboole_0,axiom,(![A]:(![B]:(A=B<=>(subset(A,B)&subset(B,A))))),input).
% 0.18/0.52  fof(c32,axiom,(![A]:(![B]:((A!=B|(subset(A,B)&subset(B,A)))&((~subset(A,B)|~subset(B,A))|A=B)))),inference(fof_nnf,status(thm),[d10_xboole_0])).
% 0.18/0.52  fof(c33,axiom,((![A]:(![B]:(A!=B|(subset(A,B)&subset(B,A)))))&(![A]:(![B]:((~subset(A,B)|~subset(B,A))|A=B)))),inference(shift_quantors,status(thm),[c32])).
% 0.18/0.52  fof(c35,axiom,(![X12]:(![X13]:(![X14]:(![X15]:((X12!=X13|(subset(X12,X13)&subset(X13,X12)))&((~subset(X14,X15)|~subset(X15,X14))|X14=X15)))))),inference(shift_quantors,status(thm),[fof(c34,axiom,((![X12]:(![X13]:(X12!=X13|(subset(X12,X13)&subset(X13,X12)))))&(![X14]:(![X15]:((~subset(X14,X15)|~subset(X15,X14))|X14=X15)))),inference(variable_rename,status(thm),[c33])).])).
% 0.18/0.52  fof(c36,axiom,(![X12]:(![X13]:(![X14]:(![X15]:(((X12!=X13|subset(X12,X13))&(X12!=X13|subset(X13,X12)))&((~subset(X14,X15)|~subset(X15,X14))|X14=X15)))))),inference(distribute,status(thm),[c35])).
% 0.18/0.52  cnf(c39,axiom,~subset(X54,X53)|~subset(X53,X54)|X54=X53,inference(split_conjunct,status(thm),[c36])).
% 0.18/0.52  cnf(c67,plain,~subset(X67,empty_set)|X67=empty_set,inference(resolution,status(thm),[c39, c19])).
% 0.18/0.52  cnf(c87,plain,skolem0001=empty_set,inference(resolution,status(thm),[c67, c16])).
% 0.18/0.52  cnf(c95,plain,$false,inference(resolution,status(thm),[c87, c17])).
% 0.18/0.52  # SZS output end CNFRefutation
% 0.18/0.52  
% 0.18/0.52  # Initial clauses    : 21
% 0.18/0.52  # Processed clauses  : 33
% 0.18/0.52  # Factors computed   : 0
% 0.18/0.52  # Resolvents computed: 55
% 0.18/0.52  # Tautologies deleted: 2
% 0.18/0.52  # Forward subsumed   : 22
% 0.18/0.52  # Backward subsumed  : 2
% 0.18/0.52  # -------- CPU Time ---------
% 0.18/0.52  # User time          : 0.172 s
% 0.18/0.52  # System time        : 0.015 s
% 0.18/0.52  # Total time         : 0.187 s
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