TSTP Solution File: LCL899+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL899+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 13:58:22 EDT 2022
% Result : Theorem 43.66s 43.85s
% Output : Refutation 43.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL899+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n027.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 : Sun Jul 3 17:20:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 43.66/43.85 # Version: 1.3
% 43.66/43.85 # SZS status Theorem
% 43.66/43.85 # SZS output start CNFRefutation
% 43.66/43.85 fof(goals_14,conjecture,(![X17]:'==>'('==>'(X17,'1'),'1')=X17),input).
% 43.66/43.85 fof(c3,negated_conjecture,(~(![X17]:'==>'('==>'(X17,'1'),'1')=X17)),inference(assume_negation,status(cth),[goals_14])).
% 43.66/43.85 fof(c4,negated_conjecture,(?[X17]:'==>'('==>'(X17,'1'),'1')!=X17),inference(fof_nnf,status(thm),[c3])).
% 43.66/43.85 fof(c5,negated_conjecture,(?[X2]:'==>'('==>'(X2,'1'),'1')!=X2),inference(variable_rename,status(thm),[c4])).
% 43.66/43.85 fof(c6,negated_conjecture,'==>'('==>'(skolem0001,'1'),'1')!=skolem0001,inference(skolemize,status(esa),[c5])).
% 43.66/43.85 cnf(c7,negated_conjecture,'==>'('==>'(skolem0001,'1'),'1')!=skolem0001,inference(split_conjunct,status(thm),[c6])).
% 43.66/43.85 cnf(symmetry,axiom,X37!=X38|X38=X37,eq_axiom).
% 43.66/43.85 cnf(transitivity,axiom,X40!=X41|X41!=X42|X40=X42,eq_axiom).
% 43.66/43.85 fof(sos_13,axiom,(![A]:(![B]:'==>'('==>'(A,B),B)='==>'('==>'(B,A),A))),input).
% 43.66/43.85 fof(c8,axiom,(![X3]:(![X4]:'==>'('==>'(X3,X4),X4)='==>'('==>'(X4,X3),X3))),inference(variable_rename,status(thm),[sos_13])).
% 43.66/43.85 cnf(c9,axiom,'==>'('==>'(X88,X87),X87)='==>'('==>'(X87,X88),X88),inference(split_conjunct,status(thm),[c8])).
% 43.66/43.85 cnf(c106,plain,X405!='==>'('==>'(X406,X407),X407)|X405='==>'('==>'(X407,X406),X406),inference(resolution,status(thm),[c9, transitivity])).
% 43.66/43.85 fof(sos_06,axiom,(![X3]:(![X4]:(('>='(X3,X4)&'>='(X4,X3))=>X3=X4))),input).
% 43.66/43.85 fof(c35,axiom,(![X3]:(![X4]:((~'>='(X3,X4)|~'>='(X4,X3))|X3=X4))),inference(fof_nnf,status(thm),[sos_06])).
% 43.66/43.85 fof(c36,axiom,(![X22]:(![X23]:((~'>='(X22,X23)|~'>='(X23,X22))|X22=X23))),inference(variable_rename,status(thm),[c35])).
% 43.66/43.85 cnf(c37,axiom,~'>='(X60,X59)|~'>='(X59,X60)|X60=X59,inference(split_conjunct,status(thm),[c36])).
% 43.66/43.85 fof(sos_07,axiom,(![X5]:(![X6]:(![X7]:('>='('+'(X5,X6),X7)<=>'>='(X6,'==>'(X5,X7)))))),input).
% 43.66/43.85 fof(c29,axiom,(![X5]:(![X6]:(![X7]:((~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7)))&(~'>='(X6,'==>'(X5,X7))|'>='('+'(X5,X6),X7)))))),inference(fof_nnf,status(thm),[sos_07])).
% 43.66/43.85 fof(c30,axiom,((![X5]:(![X6]:(![X7]:(~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7))))))&(![X5]:(![X6]:(![X7]:(~'>='(X6,'==>'(X5,X7))|'>='('+'(X5,X6),X7)))))),inference(shift_quantors,status(thm),[c29])).
% 43.66/43.85 fof(c32,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((~'>='('+'(X16,X17),X18)|'>='(X17,'==>'(X16,X18)))&(~'>='(X20,'==>'(X19,X21))|'>='('+'(X19,X20),X21))))))))),inference(shift_quantors,status(thm),[fof(c31,axiom,((![X16]:(![X17]:(![X18]:(~'>='('+'(X16,X17),X18)|'>='(X17,'==>'(X16,X18))))))&(![X19]:(![X20]:(![X21]:(~'>='(X20,'==>'(X19,X21))|'>='('+'(X19,X20),X21)))))),inference(variable_rename,status(thm),[c30])).])).
% 43.66/43.85 cnf(c33,axiom,~'>='('+'(X127,X128),X126)|'>='(X128,'==>'(X127,X126)),inference(split_conjunct,status(thm),[c32])).
% 43.66/43.85 fof(sos_02,axiom,(![A]:(![B]:'+'(A,B)='+'(B,A))),input).
% 43.66/43.85 fof(c45,axiom,(![X29]:(![X30]:'+'(X29,X30)='+'(X30,X29))),inference(variable_rename,status(thm),[sos_02])).
% 43.66/43.85 cnf(c46,axiom,'+'(X55,X56)='+'(X56,X55),inference(split_conjunct,status(thm),[c45])).
% 43.66/43.85 cnf(reflexivity,axiom,X34=X34,eq_axiom).
% 43.66/43.85 fof(sos_04,axiom,(![A]:'>='(A,A)),input).
% 43.66/43.85 fof(c41,axiom,(![X27]:'>='(X27,X27)),inference(variable_rename,status(thm),[sos_04])).
% 43.66/43.85 cnf(c42,axiom,'>='(X35,X35),inference(split_conjunct,status(thm),[c41])).
% 43.66/43.85 cnf(c2,plain,X72!=X73|X70!=X71|~'>='(X72,X70)|'>='(X73,X71),eq_axiom).
% 43.66/43.85 cnf(c80,plain,X92!=X91|X92!=X90|'>='(X91,X90),inference(resolution,status(thm),[c2, c42])).
% 43.66/43.85 cnf(c108,plain,X94!=X93|'>='(X93,X94),inference(resolution,status(thm),[c80, reflexivity])).
% 43.66/43.85 cnf(c120,plain,'>='('+'(X108,X109),'+'(X109,X108)),inference(resolution,status(thm),[c108, c46])).
% 43.66/43.85 fof(sos_05,axiom,(![X0]:(![X1]:(![X2]:(('>='(X0,X1)&'>='(X1,X2))=>'>='(X0,X2))))),input).
% 43.66/43.85 fof(c38,axiom,(![X0]:(![X1]:(![X2]:((~'>='(X0,X1)|~'>='(X1,X2))|'>='(X0,X2))))),inference(fof_nnf,status(thm),[sos_05])).
% 43.66/43.85 fof(c39,axiom,(![X24]:(![X25]:(![X26]:((~'>='(X24,X25)|~'>='(X25,X26))|'>='(X24,X26))))),inference(variable_rename,status(thm),[c38])).
% 43.66/43.85 cnf(c40,axiom,~'>='(X68,X67)|~'>='(X67,X69)|'>='(X68,X69),inference(split_conjunct,status(thm),[c39])).
% 43.66/43.85 cnf(c34,axiom,~'>='(X135,'==>'(X137,X136))|'>='('+'(X137,X135),X136),inference(split_conjunct,status(thm),[c32])).
% 43.66/43.85 fof(sos_08,axiom,(![A]:'>='(A,'0')),input).
% 43.66/43.85 fof(c27,axiom,(![X15]:'>='(X15,'0')),inference(variable_rename,status(thm),[sos_08])).
% 43.66/43.85 cnf(c28,axiom,'>='(X36,'0'),inference(split_conjunct,status(thm),[c27])).
% 43.66/43.85 cnf(c67,plain,~'>='('0',X66)|'0'=X66,inference(resolution,status(thm),[c37, c28])).
% 43.66/43.85 fof(sos_03,axiom,(![A]:'+'(A,'0')=A),input).
% 43.66/43.85 fof(c43,axiom,(![X28]:'+'(X28,'0')=X28),inference(variable_rename,status(thm),[sos_03])).
% 43.66/43.85 cnf(c44,axiom,'+'(X43,'0')=X43,inference(split_conjunct,status(thm),[c43])).
% 43.66/43.85 cnf(c52,plain,X46='+'(X46,'0'),inference(resolution,status(thm),[c44, symmetry])).
% 43.66/43.85 cnf(c121,plain,'>='('+'(X96,'0'),X96),inference(resolution,status(thm),[c108, c52])).
% 43.66/43.85 cnf(c204,plain,'>='('0','==>'(X129,X129)),inference(resolution,status(thm),[c33, c121])).
% 43.66/43.85 cnf(c217,plain,'0'='==>'(X133,X133),inference(resolution,status(thm),[c204, c67])).
% 43.66/43.85 cnf(c79,plain,X284!=X285|'0'!=X283|'>='(X285,X283),inference(resolution,status(thm),[c2, c28])).
% 43.66/43.85 cnf(c767,plain,X293!=X291|'>='(X291,'==>'(X292,X292)),inference(resolution,status(thm),[c79, c217])).
% 43.66/43.85 cnf(c773,plain,'>='(X298,'==>'(X297,X297)),inference(resolution,status(thm),[c767, reflexivity])).
% 43.66/43.85 cnf(c813,plain,'>='('+'(X311,X310),X311),inference(resolution,status(thm),[c773, c34])).
% 43.66/43.85 cnf(c843,plain,~'>='(X351,'+'(X353,X352))|'>='(X351,X353),inference(resolution,status(thm),[c813, c40])).
% 43.66/43.85 cnf(c937,plain,'>='('+'(X364,X363),X363),inference(resolution,status(thm),[c843, c120])).
% 43.66/43.85 cnf(c1009,plain,'>='(X366,'==>'(X365,X366)),inference(resolution,status(thm),[c937, c33])).
% 43.66/43.85 cnf(c1020,plain,~'>='('==>'(X7118,X7119),X7119)|'==>'(X7118,X7119)=X7119,inference(resolution,status(thm),[c1009, c37])).
% 43.66/43.85 cnf(c51,plain,X78!='+'(X79,'0')|X78=X79,inference(resolution,status(thm),[c44, transitivity])).
% 43.66/43.85 cnf(c82,plain,'+'('0',X82)=X82,inference(resolution,status(thm),[c51, c46])).
% 43.66/43.85 cnf(c125,plain,'>='(X102,'+'('0',X102)),inference(resolution,status(thm),[c108, c82])).
% 43.66/43.85 cnf(c251,plain,'>='('+'(X179,'==>'(X179,X178)),X178),inference(resolution,status(thm),[c34, c42])).
% 43.66/43.85 cnf(c398,plain,~'>='(X2502,'+'(X2503,'==>'(X2503,X2504)))|'>='(X2502,X2504),inference(resolution,status(thm),[c251, c40])).
% 43.66/43.85 cnf(c11562,plain,'>='('==>'('0',X2518),X2518),inference(resolution,status(thm),[c398, c125])).
% 43.66/43.85 cnf(c11610,plain,~'>='(X3294,'==>'('0',X3295))|'>='(X3294,X3295),inference(resolution,status(thm),[c11562, c40])).
% 43.66/43.85 fof(sos_10,axiom,(![X11]:(![X12]:(![X13]:('>='(X11,X12)=>'>='('==>'(X12,X13),'==>'(X11,X13)))))),input).
% 43.66/43.85 fof(c17,axiom,(![X11]:(![X12]:(![X13]:(~'>='(X11,X12)|'>='('==>'(X12,X13),'==>'(X11,X13)))))),inference(fof_nnf,status(thm),[sos_10])).
% 43.66/43.85 fof(c18,axiom,(![X11]:(![X12]:(~'>='(X11,X12)|(![X13]:'>='('==>'(X12,X13),'==>'(X11,X13)))))),inference(shift_quantors,status(thm),[c17])).
% 43.66/43.85 fof(c20,axiom,(![X9]:(![X10]:(![X11]:(~'>='(X9,X10)|'>='('==>'(X10,X11),'==>'(X9,X11)))))),inference(shift_quantors,status(thm),[fof(c19,axiom,(![X9]:(![X10]:(~'>='(X9,X10)|(![X11]:'>='('==>'(X10,X11),'==>'(X9,X11)))))),inference(variable_rename,status(thm),[c18])).])).
% 43.66/43.85 cnf(c21,axiom,~'>='(X106,X107)|'>='('==>'(X107,X105),'==>'(X106,X105)),inference(split_conjunct,status(thm),[c20])).
% 43.66/43.85 fof(sos_12,axiom,(![A]:'+'(A,'1')='1'),input).
% 43.66/43.85 fof(c10,axiom,(![X5]:'+'(X5,'1')='1'),inference(variable_rename,status(thm),[sos_12])).
% 43.66/43.85 cnf(c11,axiom,'+'(X48,'1')='1',inference(split_conjunct,status(thm),[c10])).
% 43.66/43.85 cnf(c118,plain,'>='('1','+'(X103,'1')),inference(resolution,status(thm),[c108, c11])).
% 43.66/43.85 cnf(c938,plain,'>='('1',X357),inference(resolution,status(thm),[c843, c118])).
% 43.66/43.85 cnf(c971,plain,~'>='(X381,'1')|'>='(X381,X382),inference(resolution,status(thm),[c938, c40])).
% 43.66/43.85 cnf(c1060,plain,'>='('+'('1',X390),X389),inference(resolution,status(thm),[c971, c813])).
% 43.66/43.85 cnf(c1067,plain,'>='(X398,'==>'('1',X397)),inference(resolution,status(thm),[c1060, c33])).
% 43.66/43.85 cnf(c1106,plain,'>='('==>'('==>'('1',X8021),X8019),'==>'(X8020,X8019)),inference(resolution,status(thm),[c1067, c21])).
% 43.66/43.85 cnf(c57149,plain,'>='('==>'('==>'('1',X8022),X8023),X8023),inference(resolution,status(thm),[c1106, c11610])).
% 43.66/43.85 cnf(c57188,plain,'==>'('==>'('1',X8024),X8025)=X8025,inference(resolution,status(thm),[c57149, c1020])).
% 43.66/43.85 cnf(c57225,plain,X8038='==>'('==>'('1',X8039),X8038),inference(resolution,status(thm),[c57188, symmetry])).
% 43.66/43.85 cnf(c57420,plain,X8121='==>'('==>'(X8121,'1'),'1'),inference(resolution,status(thm),[c57225, c106])).
% 43.66/43.85 cnf(c57861,plain,'==>'('==>'(X8190,'1'),'1')=X8190,inference(resolution,status(thm),[c57420, symmetry])).
% 43.66/43.85 cnf(c58471,plain,$false,inference(resolution,status(thm),[c57861, c7])).
% 43.66/43.85 # SZS output end CNFRefutation
% 43.66/43.85
% 43.66/43.85 # Initial clauses : 21
% 43.66/43.85 # Processed clauses : 1076
% 43.66/43.85 # Factors computed : 2
% 43.66/43.85 # Resolvents computed: 58423
% 43.66/43.85 # Tautologies deleted: 2
% 43.66/43.85 # Forward subsumed : 3660
% 43.66/43.85 # Backward subsumed : 84
% 43.66/43.85 # -------- CPU Time ---------
% 43.66/43.85 # User time : 43.376 s
% 43.66/43.85 # System time : 0.110 s
% 43.66/43.85 # Total time : 43.486 s
%------------------------------------------------------------------------------