TSTP Solution File: LCL491+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 : Sun Jul 17 13:54:53 EDT 2022

% Result   : Theorem 0.11s 0.46s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.07  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.26  % Computer : n021.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 600
% 0.07/0.26  % DateTime : Sat Jul  2 23:16:45 EDT 2022
% 0.07/0.26  % CPUTime  : 
% 0.11/0.46  # Version:  1.3
% 0.11/0.46  # SZS status Theorem
% 0.11/0.46  # SZS output start CNFRefutation
% 0.11/0.46  fof(hilbert_or_2,conjecture,or_2,input).
% 0.11/0.46  fof(c6,negated_conjecture,(~or_2),inference(assume_negation,status(cth),[hilbert_or_2])).
% 0.11/0.46  fof(c7,negated_conjecture,~or_2,inference(fof_simplification,status(thm),[c6])).
% 0.11/0.46  cnf(c8,negated_conjecture,~or_2,inference(split_conjunct,status(thm),[c7])).
% 0.11/0.46  fof(principia_r2,axiom,r2,input).
% 0.11/0.46  cnf(c16,axiom,r2,inference(split_conjunct,status(thm),[principia_r2])).
% 0.11/0.46  fof(r2,axiom,(r2<=>(![P]:(![Q]:is_a_theorem(implies(Q,or(P,Q)))))),input).
% 0.11/0.46  fof(c60,axiom,((~r2|(![P]:(![Q]:is_a_theorem(implies(Q,or(P,Q))))))&((?[P]:(?[Q]:~is_a_theorem(implies(Q,or(P,Q)))))|r2)),inference(fof_nnf,status(thm),[r2])).
% 0.11/0.46  fof(c61,axiom,((~r2|(![X28]:(![X29]:is_a_theorem(implies(X29,or(X28,X29))))))&((?[X30]:(?[X31]:~is_a_theorem(implies(X31,or(X30,X31)))))|r2)),inference(variable_rename,status(thm),[c60])).
% 0.11/0.46  fof(c63,axiom,(![X28]:(![X29]:((~r2|is_a_theorem(implies(X29,or(X28,X29))))&(~is_a_theorem(implies(skolem0010,or(skolem0009,skolem0010)))|r2)))),inference(shift_quantors,status(thm),[fof(c62,axiom,((~r2|(![X28]:(![X29]:is_a_theorem(implies(X29,or(X28,X29))))))&(~is_a_theorem(implies(skolem0010,or(skolem0009,skolem0010)))|r2)),inference(skolemize,status(esa),[c61])).])).
% 0.11/0.46  cnf(c64,axiom,~r2|is_a_theorem(implies(X138,or(X139,X138))),inference(split_conjunct,status(thm),[c63])).
% 0.11/0.46  cnf(c207,plain,is_a_theorem(implies(X140,or(X141,X140))),inference(resolution,status(thm),[c64, c16])).
% 0.11/0.46  fof(or_2,axiom,(or_2<=>(![X]:(![Y]:is_a_theorem(implies(Y,or(X,Y)))))),input).
% 0.11/0.46  fof(c132,axiom,((~or_2|(![X]:(![Y]:is_a_theorem(implies(Y,or(X,Y))))))&((?[X]:(?[Y]:~is_a_theorem(implies(Y,or(X,Y)))))|or_2)),inference(fof_nnf,status(thm),[or_2])).
% 0.11/0.46  fof(c133,axiom,((~or_2|(![X76]:(![X77]:is_a_theorem(implies(X77,or(X76,X77))))))&((?[X78]:(?[X79]:~is_a_theorem(implies(X79,or(X78,X79)))))|or_2)),inference(variable_rename,status(thm),[c132])).
% 0.11/0.46  fof(c135,axiom,(![X76]:(![X77]:((~or_2|is_a_theorem(implies(X77,or(X76,X77))))&(~is_a_theorem(implies(skolem0034,or(skolem0033,skolem0034)))|or_2)))),inference(shift_quantors,status(thm),[fof(c134,axiom,((~or_2|(![X76]:(![X77]:is_a_theorem(implies(X77,or(X76,X77))))))&(~is_a_theorem(implies(skolem0034,or(skolem0033,skolem0034)))|or_2)),inference(skolemize,status(esa),[c133])).])).
% 0.11/0.46  cnf(c137,axiom,~is_a_theorem(implies(skolem0034,or(skolem0033,skolem0034)))|or_2,inference(split_conjunct,status(thm),[c135])).
% 0.11/0.46  cnf(c233,plain,or_2,inference(resolution,status(thm),[c137, c207])).
% 0.11/0.46  cnf(c234,plain,$false,inference(resolution,status(thm),[c233, c8])).
% 0.11/0.46  # SZS output end CNFRefutation
% 0.11/0.46  
% 0.11/0.46  # Initial clauses    : 83
% 0.11/0.46  # Processed clauses  : 48
% 0.11/0.46  # Factors computed   : 0
% 0.11/0.46  # Resolvents computed: 32
% 0.11/0.46  # Tautologies deleted: 2
% 0.11/0.46  # Forward subsumed   : 12
% 0.11/0.46  # Backward subsumed  : 5
% 0.11/0.46  # -------- CPU Time ---------
% 0.11/0.46  # User time          : 0.191 s
% 0.11/0.46  # System time        : 0.010 s
% 0.11/0.46  # Total time         : 0.201 s
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