TSTP Solution File: LCL506+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL506+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 13:54:57 EDT 2022

% Result   : Theorem 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL506+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 : n025.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 Jul  4 21:46:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/0.55  # Version:  1.3
% 0.39/0.55  # SZS status Theorem
% 0.39/0.55  # SZS output start CNFRefutation
% 0.39/0.55  fof(hilbert_and_1,conjecture,and_1,input).
% 0.39/0.55  fof(c6,negated_conjecture,(~and_1),inference(assume_negation,status(cth),[hilbert_and_1])).
% 0.39/0.55  fof(c7,negated_conjecture,~and_1,inference(fof_simplification,status(thm),[c6])).
% 0.39/0.55  cnf(c8,negated_conjecture,~and_1,inference(split_conjunct,status(thm),[c7])).
% 0.39/0.55  fof(rosser_kn2,axiom,kn2,input).
% 0.39/0.55  cnf(c14,axiom,kn2,inference(split_conjunct,status(thm),[rosser_kn2])).
% 0.39/0.55  fof(kn2,axiom,(kn2<=>(![P]:(![Q]:is_a_theorem(implies(and(P,Q),P))))),input).
% 0.39/0.55  fof(c94,axiom,((~kn2|(![P]:(![Q]:is_a_theorem(implies(and(P,Q),P)))))&((?[P]:(?[Q]:~is_a_theorem(implies(and(P,Q),P))))|kn2)),inference(fof_nnf,status(thm),[kn2])).
% 0.39/0.55  fof(c95,axiom,((~kn2|(![X52]:(![X53]:is_a_theorem(implies(and(X52,X53),X52)))))&((?[X54]:(?[X55]:~is_a_theorem(implies(and(X54,X55),X54))))|kn2)),inference(variable_rename,status(thm),[c94])).
% 0.39/0.55  fof(c97,axiom,(![X52]:(![X53]:((~kn2|is_a_theorem(implies(and(X52,X53),X52)))&(~is_a_theorem(implies(and(skolem0021,skolem0022),skolem0021))|kn2)))),inference(shift_quantors,status(thm),[fof(c96,axiom,((~kn2|(![X52]:(![X53]:is_a_theorem(implies(and(X52,X53),X52)))))&(~is_a_theorem(implies(and(skolem0021,skolem0022),skolem0021))|kn2)),inference(skolemize,status(esa),[c95])).])).
% 0.39/0.55  cnf(c98,axiom,~kn2|is_a_theorem(implies(and(X142,X141),X142)),inference(split_conjunct,status(thm),[c97])).
% 0.39/0.55  cnf(c205,plain,is_a_theorem(implies(and(X143,X144),X143)),inference(resolution,status(thm),[c98, c14])).
% 0.39/0.55  fof(and_1,axiom,(and_1<=>(![X]:(![Y]:is_a_theorem(implies(and(X,Y),X))))),input).
% 0.39/0.55  fof(c154,axiom,((~and_1|(![X]:(![Y]:is_a_theorem(implies(and(X,Y),X)))))&((?[X]:(?[Y]:~is_a_theorem(implies(and(X,Y),X))))|and_1)),inference(fof_nnf,status(thm),[and_1])).
% 0.39/0.55  fof(c155,axiom,((~and_1|(![X92]:(![X93]:is_a_theorem(implies(and(X92,X93),X92)))))&((?[X94]:(?[X95]:~is_a_theorem(implies(and(X94,X95),X94))))|and_1)),inference(variable_rename,status(thm),[c154])).
% 0.39/0.55  fof(c157,axiom,(![X92]:(![X93]:((~and_1|is_a_theorem(implies(and(X92,X93),X92)))&(~is_a_theorem(implies(and(skolem0041,skolem0042),skolem0041))|and_1)))),inference(shift_quantors,status(thm),[fof(c156,axiom,((~and_1|(![X92]:(![X93]:is_a_theorem(implies(and(X92,X93),X92)))))&(~is_a_theorem(implies(and(skolem0041,skolem0042),skolem0041))|and_1)),inference(skolemize,status(esa),[c155])).])).
% 0.39/0.55  cnf(c159,axiom,~is_a_theorem(implies(and(skolem0041,skolem0042),skolem0041))|and_1,inference(split_conjunct,status(thm),[c157])).
% 0.39/0.55  cnf(c212,plain,and_1,inference(resolution,status(thm),[c159, c205])).
% 0.39/0.55  cnf(c213,plain,$false,inference(resolution,status(thm),[c212, c8])).
% 0.39/0.55  # SZS output end CNFRefutation
% 0.39/0.55  
% 0.39/0.55  # Initial clauses    : 81
% 0.39/0.55  # Processed clauses  : 45
% 0.39/0.55  # Factors computed   : 0
% 0.39/0.55  # Resolvents computed: 14
% 0.39/0.55  # Tautologies deleted: 2
% 0.39/0.55  # Forward subsumed   : 13
% 0.39/0.55  # Backward subsumed  : 3
% 0.39/0.55  # -------- CPU Time ---------
% 0.39/0.55  # User time          : 0.204 s
% 0.39/0.55  # System time        : 0.012 s
% 0.39/0.55  # Total time         : 0.216 s
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