TSTP Solution File: NUN073+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 16:37:26 EDT 2022
% Result : Theorem 16.87s 17.05s
% Output : Refutation 16.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.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 : Thu Jun 2 06:55:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.87/17.05 # Version: 1.3
% 16.87/17.05 # SZS status Theorem
% 16.87/17.05 # SZS output start CNFRefutation
% 16.87/17.05 fof(oneuneqtwo,conjecture,(![Y1]:((![Y2]:((![Y4]:((~r1(Y4))|(~r2(Y4,Y2))))|Y2!=Y1))|(![Y3]:((![Y5]:((~r1(Y5))|(~r2(Y5,Y3))))|(~r2(Y3,Y1)))))),input).
% 16.87/17.05 fof(c4,negated_conjecture,(~(![Y1]:((![Y2]:((![Y4]:((~r1(Y4))|(~r2(Y4,Y2))))|Y2!=Y1))|(![Y3]:((![Y5]:((~r1(Y5))|(~r2(Y5,Y3))))|(~r2(Y3,Y1))))))),inference(assume_negation,status(cth),[oneuneqtwo])).
% 16.87/17.05 fof(c5,negated_conjecture,(~(![Y1]:((![Y2]:((![Y4]:(~r1(Y4)|~r2(Y4,Y2)))|Y2!=Y1))|(![Y3]:((![Y5]:(~r1(Y5)|~r2(Y5,Y3)))|~r2(Y3,Y1)))))),inference(fof_simplification,status(thm),[c4])).
% 16.87/17.05 fof(c6,negated_conjecture,(?[Y1]:((?[Y2]:((?[Y4]:(r1(Y4)&r2(Y4,Y2)))&Y2=Y1))&(?[Y3]:((?[Y5]:(r1(Y5)&r2(Y5,Y3)))&r2(Y3,Y1))))),inference(fof_nnf,status(thm),[c5])).
% 16.87/17.05 fof(c7,negated_conjecture,(?[X2]:((?[X3]:((?[X4]:(r1(X4)&r2(X4,X3)))&X3=X2))&(?[X5]:((?[X6]:(r1(X6)&r2(X6,X5)))&r2(X5,X2))))),inference(variable_rename,status(thm),[c6])).
% 16.87/17.05 fof(c8,negated_conjecture,(((r1(skolem0003)&r2(skolem0003,skolem0002))&skolem0002=skolem0001)&((r1(skolem0005)&r2(skolem0005,skolem0004))&r2(skolem0004,skolem0001))),inference(skolemize,status(esa),[c7])).
% 16.87/17.05 cnf(c12,negated_conjecture,r1(skolem0005),inference(split_conjunct,status(thm),[c8])).
% 16.87/17.05 cnf(c13,negated_conjecture,r2(skolem0005,skolem0004),inference(split_conjunct,status(thm),[c8])).
% 16.87/17.05 fof(axiom_7a,axiom,(![X7]:(![Y10]:((![Y20]:((~r1(Y20))|Y20!=Y10))|(~r2(X7,Y10))))),input).
% 16.87/17.05 fof(c15,axiom,(![X7]:(![Y10]:((![Y20]:(~r1(Y20)|Y20!=Y10))|~r2(X7,Y10)))),inference(fof_simplification,status(thm),[axiom_7a])).
% 16.87/17.05 fof(c17,axiom,(![X7]:(![X8]:(![X9]:((~r1(X9)|X9!=X8)|~r2(X7,X8))))),inference(shift_quantors,status(thm),[fof(c16,axiom,(![X7]:(![X8]:((![X9]:(~r1(X9)|X9!=X8))|~r2(X7,X8)))),inference(variable_rename,status(thm),[c15])).])).
% 16.87/17.05 cnf(c18,axiom,~r1(X100)|X100!=X101|~r2(X99,X101),inference(split_conjunct,status(thm),[c17])).
% 16.87/17.05 cnf(c145,plain,~r1(X136)|X136!=skolem0004,inference(resolution,status(thm),[c18, c13])).
% 16.87/17.05 cnf(symmetry,axiom,X53!=X54|X54=X53,eq_axiom).
% 16.87/17.05 fof(axiom_1,axiom,(?[Y24]:(![X19]:(((~r1(X19))&X19!=Y24)|(r1(X19)&X19=Y24)))),input).
% 16.87/17.05 fof(c79,axiom,(?[Y24]:(![X19]:((~r1(X19)&X19!=Y24)|(r1(X19)&X19=Y24)))),inference(fof_simplification,status(thm),[axiom_1])).
% 16.87/17.05 fof(c80,axiom,(?[X48]:(![X49]:((~r1(X49)&X49!=X48)|(r1(X49)&X49=X48)))),inference(variable_rename,status(thm),[c79])).
% 16.87/17.05 fof(c81,axiom,(![X49]:((~r1(X49)&X49!=skolem0025)|(r1(X49)&X49=skolem0025))),inference(skolemize,status(esa),[c80])).
% 16.87/17.05 fof(c82,axiom,(![X49]:(((~r1(X49)|r1(X49))&(~r1(X49)|X49=skolem0025))&((X49!=skolem0025|r1(X49))&(X49!=skolem0025|X49=skolem0025)))),inference(distribute,status(thm),[c81])).
% 16.87/17.05 cnf(c84,axiom,~r1(X82)|X82=skolem0025,inference(split_conjunct,status(thm),[c82])).
% 16.87/17.05 cnf(c112,plain,skolem0005=skolem0025,inference(resolution,status(thm),[c84, c12])).
% 16.87/17.05 cnf(transitivity,axiom,X57!=X59|X59!=X58|X57=X58,eq_axiom).
% 16.87/17.05 cnf(c9,negated_conjecture,r1(skolem0003),inference(split_conjunct,status(thm),[c8])).
% 16.87/17.05 cnf(c110,plain,skolem0003=skolem0025,inference(resolution,status(thm),[c84, c9])).
% 16.87/17.05 cnf(c117,plain,skolem0025=skolem0003,inference(resolution,status(thm),[c110, symmetry])).
% 16.87/17.05 cnf(c124,plain,X275!=skolem0025|X275=skolem0003,inference(resolution,status(thm),[c117, transitivity])).
% 16.87/17.05 cnf(c588,plain,skolem0005=skolem0003,inference(resolution,status(thm),[c124, c112])).
% 16.87/17.05 cnf(c598,plain,skolem0003=skolem0005,inference(resolution,status(thm),[c588, symmetry])).
% 16.87/17.05 cnf(c10,negated_conjecture,r2(skolem0003,skolem0002),inference(split_conjunct,status(thm),[c8])).
% 16.87/17.05 cnf(c1,plain,X71!=X72|X73!=X74|~r2(X71,X73)|r2(X72,X74),eq_axiom).
% 16.87/17.05 cnf(c103,plain,skolem0003!=X247|skolem0002!=X248|r2(X247,X248),inference(resolution,status(thm),[c1, c10])).
% 16.87/17.05 cnf(c14,negated_conjecture,r2(skolem0004,skolem0001),inference(split_conjunct,status(thm),[c8])).
% 16.87/17.05 fof(axiom_2,axiom,(![X11]:(?[Y21]:(![X12]:(((~r2(X11,X12))&X12!=Y21)|(r2(X11,X12)&X12=Y21))))),input).
% 16.87/17.05 fof(c71,axiom,(![X11]:(?[Y21]:(![X12]:((~r2(X11,X12)&X12!=Y21)|(r2(X11,X12)&X12=Y21))))),inference(fof_simplification,status(thm),[axiom_2])).
% 16.87/17.05 fof(c72,axiom,(![X45]:(?[X46]:(![X47]:((~r2(X45,X47)&X47!=X46)|(r2(X45,X47)&X47=X46))))),inference(variable_rename,status(thm),[c71])).
% 16.87/17.05 fof(c73,axiom,(![X45]:(![X47]:((~r2(X45,X47)&X47!=skolem0024(X45))|(r2(X45,X47)&X47=skolem0024(X45))))),inference(skolemize,status(esa),[c72])).
% 16.87/17.05 fof(c74,axiom,(![X45]:(![X47]:(((~r2(X45,X47)|r2(X45,X47))&(~r2(X45,X47)|X47=skolem0024(X45)))&((X47!=skolem0024(X45)|r2(X45,X47))&(X47!=skolem0024(X45)|X47=skolem0024(X45)))))),inference(distribute,status(thm),[c73])).
% 16.87/17.05 cnf(c76,axiom,~r2(X190,X189)|X189=skolem0024(X190),inference(split_conjunct,status(thm),[c74])).
% 16.87/17.05 cnf(c302,plain,skolem0001=skolem0024(skolem0004),inference(resolution,status(thm),[c76, c14])).
% 16.87/17.05 cnf(c311,plain,skolem0024(skolem0004)=skolem0001,inference(resolution,status(thm),[c302, symmetry])).
% 16.87/17.05 cnf(c11,negated_conjecture,skolem0002=skolem0001,inference(split_conjunct,status(thm),[c8])).
% 16.87/17.05 cnf(c88,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c11, symmetry])).
% 16.87/17.05 cnf(c94,plain,X236!=skolem0001|X236=skolem0002,inference(resolution,status(thm),[c88, transitivity])).
% 16.87/17.05 cnf(c380,plain,skolem0024(skolem0004)=skolem0002,inference(resolution,status(thm),[c94, c311])).
% 16.87/17.05 cnf(c460,plain,skolem0002=skolem0024(skolem0004),inference(resolution,status(thm),[c380, symmetry])).
% 16.87/17.05 cnf(c548,plain,skolem0003!=X1317|r2(X1317,skolem0024(skolem0004)),inference(resolution,status(thm),[c460, c103])).
% 16.87/17.05 cnf(c12102,plain,r2(skolem0005,skolem0024(skolem0004)),inference(resolution,status(thm),[c548, c598])).
% 16.87/17.05 fof(axiom_1a,axiom,(![X1]:(![X8]:(?[Y4]:((?[Y5]:((?[Y15]:(r2(X8,Y15)&r3(X1,Y15,Y5)))&Y5=Y4))&(?[Y7]:(r2(Y7,Y4)&r3(X1,X8,Y7))))))),input).
% 16.87/17.05 fof(c48,axiom,(![X31]:(![X32]:(?[X33]:((?[X34]:((?[X35]:(r2(X32,X35)&r3(X31,X35,X34)))&X34=X33))&(?[X36]:(r2(X36,X33)&r3(X31,X32,X36))))))),inference(variable_rename,status(thm),[axiom_1a])).
% 16.87/17.05 fof(c49,axiom,(![X31]:(![X32]:(((r2(X32,skolem0020(X31,X32))&r3(X31,skolem0020(X31,X32),skolem0019(X31,X32)))&skolem0019(X31,X32)=skolem0018(X31,X32))&(r2(skolem0021(X31,X32),skolem0018(X31,X32))&r3(X31,X32,skolem0021(X31,X32)))))),inference(skolemize,status(esa),[c48])).
% 16.87/17.05 cnf(c50,axiom,r2(X70,skolem0020(X69,X70)),inference(split_conjunct,status(thm),[c49])).
% 16.87/17.05 cnf(c296,plain,skolem0020(X203,X202)=skolem0024(X202),inference(resolution,status(thm),[c76, c50])).
% 16.87/17.05 cnf(c333,plain,skolem0024(X217)=skolem0020(X218,X217),inference(resolution,status(thm),[c296, symmetry])).
% 16.87/17.05 fof(axiom_3a,axiom,(![X3]:(![X10]:((![Y12]:((![Y13]:((~r2(X3,Y13))|Y13!=Y12))|(~r2(X10,Y12))))|X3=X10))),input).
% 16.87/17.05 fof(c37,axiom,(![X3]:(![X10]:((![Y12]:((![Y13]:(~r2(X3,Y13)|Y13!=Y12))|~r2(X10,Y12)))|X3=X10))),inference(fof_simplification,status(thm),[axiom_3a])).
% 16.87/17.05 fof(c39,axiom,(![X21]:(![X22]:(![X23]:(![X24]:(((~r2(X21,X24)|X24!=X23)|~r2(X22,X23))|X21=X22))))),inference(shift_quantors,status(thm),[fof(c38,axiom,(![X21]:(![X22]:((![X23]:((![X24]:(~r2(X21,X24)|X24!=X23))|~r2(X22,X23)))|X21=X22))),inference(variable_rename,status(thm),[c37])).])).
% 16.87/17.05 cnf(c40,axiom,~r2(X131,X128)|X128!=X129|~r2(X130,X129)|X131=X130,inference(split_conjunct,status(thm),[c39])).
% 16.87/17.05 cnf(c209,plain,~r2(X488,X487)|X487!=skolem0020(X489,X486)|X488=X486,inference(resolution,status(thm),[c40, c50])).
% 16.87/17.05 cnf(c1790,plain,~r2(X2270,skolem0024(X2269))|X2270=X2269,inference(resolution,status(thm),[c209, c333])).
% 16.87/17.05 cnf(c28753,plain,skolem0005=skolem0004,inference(resolution,status(thm),[c1790, c12102])).
% 16.87/17.05 cnf(c28808,plain,~r1(skolem0005),inference(resolution,status(thm),[c28753, c145])).
% 16.87/17.05 cnf(c28855,plain,$false,inference(resolution,status(thm),[c28808, c12])).
% 16.87/17.05 # SZS output end CNFRefutation
% 16.87/17.05
% 16.87/17.05 # Initial clauses : 52
% 16.87/17.05 # Processed clauses : 1045
% 16.87/17.05 # Factors computed : 0
% 16.87/17.05 # Resolvents computed: 28769
% 16.87/17.05 # Tautologies deleted: 10
% 16.87/17.05 # Forward subsumed : 1582
% 16.87/17.05 # Backward subsumed : 15
% 16.87/17.05 # -------- CPU Time ---------
% 16.87/17.05 # User time : 16.641 s
% 16.87/17.05 # System time : 0.057 s
% 16.87/17.05 # Total time : 16.698 s
%------------------------------------------------------------------------------