TSTP Solution File: LCL455+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 13:54:41 EDT 2022
% Result : Theorem 0.47s 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n008.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 : Sat Jul 2 23:42:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.66 # Version: 1.3
% 0.47/0.66 # SZS status Theorem
% 0.47/0.66 # SZS output start CNFRefutation
% 0.47/0.66 fof(principia_r2,conjecture,r2,input).
% 0.47/0.66 fof(c6,negated_conjecture,(~r2),inference(assume_negation,status(cth),[principia_r2])).
% 0.47/0.66 fof(c7,negated_conjecture,~r2,inference(fof_simplification,status(thm),[c6])).
% 0.47/0.66 cnf(c8,negated_conjecture,~r2,inference(split_conjunct,status(thm),[c7])).
% 0.47/0.66 fof(hilbert_or_2,axiom,or_2,input).
% 0.47/0.66 cnf(c17,axiom,or_2,inference(split_conjunct,status(thm),[hilbert_or_2])).
% 0.47/0.66 fof(or_2,axiom,(or_2<=>(![X]:(![Y]:is_a_theorem(implies(Y,or(X,Y)))))),input).
% 0.47/0.66 fof(c140,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])).
% 0.47/0.66 fof(c141,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),[c140])).
% 0.47/0.66 fof(c143,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(c142,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),[c141])).])).
% 0.47/0.66 cnf(c144,axiom,~or_2|is_a_theorem(implies(X155,or(X156,X155))),inference(split_conjunct,status(thm),[c143])).
% 0.47/0.66 cnf(c218,plain,is_a_theorem(implies(X158,or(X157,X158))),inference(resolution,status(thm),[c144, c17])).
% 0.47/0.66 fof(r2,axiom,(r2<=>(![P]:(![Q]:is_a_theorem(implies(Q,or(P,Q)))))),input).
% 0.47/0.66 fof(c68,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])).
% 0.47/0.66 fof(c69,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),[c68])).
% 0.47/0.66 fof(c71,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(c70,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),[c69])).])).
% 0.47/0.66 cnf(c73,axiom,~is_a_theorem(implies(skolem0010,or(skolem0009,skolem0010)))|r2,inference(split_conjunct,status(thm),[c71])).
% 0.47/0.66 cnf(c243,plain,r2,inference(resolution,status(thm),[c73, c218])).
% 0.47/0.66 cnf(c245,plain,$false,inference(resolution,status(thm),[c243, c8])).
% 0.47/0.66 # SZS output end CNFRefutation
% 0.47/0.66
% 0.47/0.66 # Initial clauses : 91
% 0.47/0.66 # Processed clauses : 55
% 0.47/0.66 # Factors computed : 0
% 0.47/0.66 # Resolvents computed: 35
% 0.47/0.66 # Tautologies deleted: 2
% 0.47/0.66 # Forward subsumed : 10
% 0.47/0.66 # Backward subsumed : 8
% 0.47/0.66 # -------- CPU Time ---------
% 0.47/0.66 # User time : 0.288 s
% 0.47/0.66 # System time : 0.013 s
% 0.47/0.66 # Total time : 0.301 s
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