TSTP Solution File: NUN089+2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUN089+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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 16:37:28 EDT 2022

% Result   : Theorem 0.20s 0.64s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUN089+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n026.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 : Thu Jun  2 04:20:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.64  # Version:  1.3
% 0.20/0.64  # SZS status Theorem
% 0.20/0.64  # SZS output start CNFRefutation
% 0.20/0.64  cnf(reflexivity,axiom,X49=X49,eq_axiom).
% 0.20/0.64  fof(axiom_1,axiom,(?[Y24]:(![X19]:(((~r1(X19))&X19!=Y24)|(r1(X19)&X19=Y24)))),input).
% 0.20/0.64  fof(c78,axiom,(?[Y24]:(![X19]:((~r1(X19)&X19!=Y24)|(r1(X19)&X19=Y24)))),inference(fof_simplification,status(thm),[axiom_1])).
% 0.20/0.64  fof(c79,axiom,(?[X47]:(![X48]:((~r1(X48)&X48!=X47)|(r1(X48)&X48=X47)))),inference(variable_rename,status(thm),[c78])).
% 0.20/0.64  fof(c80,axiom,(![X48]:((~r1(X48)&X48!=skolem0024)|(r1(X48)&X48=skolem0024))),inference(skolemize,status(esa),[c79])).
% 0.20/0.64  fof(c81,axiom,(![X48]:(((~r1(X48)|r1(X48))&(~r1(X48)|X48=skolem0024))&((X48!=skolem0024|r1(X48))&(X48!=skolem0024|X48=skolem0024)))),inference(distribute,status(thm),[c80])).
% 0.20/0.64  cnf(c84,axiom,X106!=skolem0024|r1(X106),inference(split_conjunct,status(thm),[c81])).
% 0.20/0.64  cnf(c153,plain,r1(skolem0024),inference(resolution,status(thm),[c84, reflexivity])).
% 0.20/0.64  cnf(symmetry,axiom,X53!=X52|X52=X53,eq_axiom).
% 0.20/0.64  cnf(c83,axiom,~r1(X81)|X81=skolem0024,inference(split_conjunct,status(thm),[c81])).
% 0.20/0.64  fof(zerouneqtwo,conjecture,(![Y1]:((![Y2]:((![Y3]:((~r1(Y3))|(~r2(Y3,Y2))))|(~r2(Y2,Y1))))|(![Y4]:(Y4!=Y1|(~r1(Y4)))))),input).
% 0.20/0.64  fof(c4,negated_conjecture,(~(![Y1]:((![Y2]:((![Y3]:((~r1(Y3))|(~r2(Y3,Y2))))|(~r2(Y2,Y1))))|(![Y4]:(Y4!=Y1|(~r1(Y4))))))),inference(assume_negation,status(cth),[zerouneqtwo])).
% 0.20/0.64  fof(c5,negated_conjecture,(~(![Y1]:((![Y2]:((![Y3]:(~r1(Y3)|~r2(Y3,Y2)))|~r2(Y2,Y1)))|(![Y4]:(Y4!=Y1|~r1(Y4)))))),inference(fof_simplification,status(thm),[c4])).
% 0.20/0.64  fof(c6,negated_conjecture,(?[Y1]:((?[Y2]:((?[Y3]:(r1(Y3)&r2(Y3,Y2)))&r2(Y2,Y1)))&(?[Y4]:(Y4=Y1&r1(Y4))))),inference(fof_nnf,status(thm),[c5])).
% 0.20/0.64  fof(c7,negated_conjecture,(?[X2]:((?[X3]:((?[X4]:(r1(X4)&r2(X4,X3)))&r2(X3,X2)))&(?[X5]:(X5=X2&r1(X5))))),inference(variable_rename,status(thm),[c6])).
% 0.20/0.64  fof(c8,negated_conjecture,(((r1(skolem0003)&r2(skolem0003,skolem0002))&r2(skolem0002,skolem0001))&(skolem0004=skolem0001&r1(skolem0004))),inference(skolemize,status(esa),[c7])).
% 0.20/0.64  cnf(c13,negated_conjecture,r1(skolem0004),inference(split_conjunct,status(thm),[c8])).
% 0.20/0.64  cnf(c12,negated_conjecture,skolem0004=skolem0001,inference(split_conjunct,status(thm),[c8])).
% 0.20/0.64  cnf(c0,plain,X62!=X63|~r1(X62)|r1(X63),eq_axiom).
% 0.20/0.64  cnf(c98,plain,~r1(skolem0004)|r1(skolem0001),inference(resolution,status(thm),[c0, c12])).
% 0.20/0.64  cnf(c171,plain,r1(skolem0001),inference(resolution,status(thm),[c98, c13])).
% 0.20/0.64  cnf(c172,plain,skolem0001=skolem0024,inference(resolution,status(thm),[c171, c83])).
% 0.20/0.64  cnf(c174,plain,skolem0024=skolem0001,inference(resolution,status(thm),[c172, symmetry])).
% 0.20/0.64  cnf(c11,negated_conjecture,r2(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c8])).
% 0.20/0.64  fof(axiom_7a,axiom,(![X7]:(![Y10]:((![Y20]:((~r1(Y20))|Y20!=Y10))|(~r2(X7,Y10))))),input).
% 0.20/0.64  fof(c14,axiom,(![X7]:(![Y10]:((![Y20]:(~r1(Y20)|Y20!=Y10))|~r2(X7,Y10)))),inference(fof_simplification,status(thm),[axiom_7a])).
% 0.20/0.64  fof(c16,axiom,(![X6]:(![X7]:(![X8]:((~r1(X8)|X8!=X7)|~r2(X6,X7))))),inference(shift_quantors,status(thm),[fof(c15,axiom,(![X6]:(![X7]:((![X8]:(~r1(X8)|X8!=X7))|~r2(X6,X7)))),inference(variable_rename,status(thm),[c14])).])).
% 0.20/0.64  cnf(c17,axiom,~r1(X100)|X100!=X99|~r2(X101,X99),inference(split_conjunct,status(thm),[c16])).
% 0.20/0.64  cnf(c144,plain,~r1(X136)|X136!=skolem0001,inference(resolution,status(thm),[c17, c11])).
% 0.20/0.64  cnf(c231,plain,~r1(skolem0024),inference(resolution,status(thm),[c144, c174])).
% 0.20/0.64  cnf(c235,plain,$false,inference(resolution,status(thm),[c231, c153])).
% 0.20/0.64  # SZS output end CNFRefutation
% 0.20/0.64  
% 0.20/0.64  # Initial clauses    : 51
% 0.20/0.64  # Processed clauses  : 65
% 0.20/0.64  # Factors computed   : 0
% 0.20/0.64  # Resolvents computed: 150
% 0.20/0.64  # Tautologies deleted: 4
% 0.20/0.64  # Forward subsumed   : 29
% 0.20/0.64  # Backward subsumed  : 1
% 0.20/0.64  # -------- CPU Time ---------
% 0.20/0.64  # User time          : 0.274 s
% 0.20/0.64  # System time        : 0.018 s
% 0.20/0.64  # Total time         : 0.292 s
%------------------------------------------------------------------------------