TSTP Solution File: KLE006+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : KLE006+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 02:22:41 EDT 2022
% Result : Theorem 4.51s 4.71s
% Output : Refutation 4.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE006+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.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 16 10:26:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.51/4.71 # Version: 1.3
% 4.51/4.71 # SZS status Theorem
% 4.51/4.71 # SZS output start CNFRefutation
% 4.51/4.71 fof(goals,conjecture,(![X0]:(test(X0)=>one=addition(X0,c(X0)))),input).
% 4.51/4.71 fof(c6,negated_conjecture,(~(![X0]:(test(X0)=>one=addition(X0,c(X0))))),inference(assume_negation,status(cth),[goals])).
% 4.51/4.71 fof(c7,negated_conjecture,(?[X0]:(test(X0)&one!=addition(X0,c(X0)))),inference(fof_nnf,status(thm),[c6])).
% 4.51/4.71 fof(c8,negated_conjecture,(?[X2]:(test(X2)&one!=addition(X2,c(X2)))),inference(variable_rename,status(thm),[c7])).
% 4.51/4.71 fof(c9,negated_conjecture,(test(skolem0001)&one!=addition(skolem0001,c(skolem0001))),inference(skolemize,status(esa),[c8])).
% 4.51/4.71 cnf(c11,negated_conjecture,one!=addition(skolem0001,c(skolem0001)),inference(split_conjunct,status(thm),[c9])).
% 4.51/4.71 cnf(transitivity,axiom,X47!=X45|X45!=X46|X47=X46,eq_axiom).
% 4.51/4.71 fof(additive_commutativity,axiom,(![A]:(![B]:addition(A,B)=addition(B,A))),input).
% 4.51/4.71 fof(c65,axiom,(![X37]:(![X38]:addition(X37,X38)=addition(X38,X37))),inference(variable_rename,status(thm),[additive_commutativity])).
% 4.51/4.71 cnf(c66,axiom,addition(X94,X95)=addition(X95,X94),inference(split_conjunct,status(thm),[c65])).
% 4.51/4.71 cnf(c164,plain,X461!=addition(X463,X462)|X461=addition(X462,X463),inference(resolution,status(thm),[c66, transitivity])).
% 4.51/4.71 cnf(symmetry,axiom,X44!=X43|X43=X44,eq_axiom).
% 4.51/4.71 cnf(c10,negated_conjecture,test(skolem0001),inference(split_conjunct,status(thm),[c9])).
% 4.51/4.71 cnf(reflexivity,axiom,X39=X39,eq_axiom).
% 4.51/4.71 fof(test_3,axiom,(![X0]:(![X1]:(test(X0)=>(c(X0)=X1<=>complement(X0,X1))))),input).
% 4.51/4.71 fof(c16,axiom,(![X0]:(![X1]:(~test(X0)|((c(X0)!=X1|complement(X0,X1))&(~complement(X0,X1)|c(X0)=X1))))),inference(fof_nnf,status(thm),[test_3])).
% 4.51/4.71 fof(c17,axiom,(![X0]:(~test(X0)|((![X1]:(c(X0)!=X1|complement(X0,X1)))&(![X1]:(~complement(X0,X1)|c(X0)=X1))))),inference(shift_quantors,status(thm),[c16])).
% 4.51/4.71 fof(c19,axiom,(![X4]:(![X5]:(![X6]:(~test(X4)|((c(X4)!=X5|complement(X4,X5))&(~complement(X4,X6)|c(X4)=X6)))))),inference(shift_quantors,status(thm),[fof(c18,axiom,(![X4]:(~test(X4)|((![X5]:(c(X4)!=X5|complement(X4,X5)))&(![X6]:(~complement(X4,X6)|c(X4)=X6))))),inference(variable_rename,status(thm),[c17])).])).
% 4.51/4.71 fof(c20,axiom,(![X4]:(![X5]:(![X6]:((~test(X4)|(c(X4)!=X5|complement(X4,X5)))&(~test(X4)|(~complement(X4,X6)|c(X4)=X6)))))),inference(distribute,status(thm),[c19])).
% 4.51/4.71 cnf(c21,axiom,~test(X100)|c(X100)!=X99|complement(X100,X99),inference(split_conjunct,status(thm),[c20])).
% 4.51/4.71 cnf(c178,plain,~test(X101)|complement(X101,c(X101)),inference(resolution,status(thm),[c21, reflexivity])).
% 4.51/4.71 cnf(c182,plain,complement(skolem0001,c(skolem0001)),inference(resolution,status(thm),[c178, c10])).
% 4.51/4.71 fof(test_2,axiom,(![X0]:(![X1]:(complement(X1,X0)<=>((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one)))),input).
% 4.51/4.71 fof(c23,axiom,(![X0]:(![X1]:((~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one))&(((multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero)|addition(X0,X1)!=one)|complement(X1,X0))))),inference(fof_nnf,status(thm),[test_2])).
% 4.51/4.71 fof(c24,axiom,((![X0]:(![X1]:(~complement(X1,X0)|((multiplication(X0,X1)=zero&multiplication(X1,X0)=zero)&addition(X0,X1)=one))))&(![X0]:(![X1]:(((multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero)|addition(X0,X1)!=one)|complement(X1,X0))))),inference(shift_quantors,status(thm),[c23])).
% 4.51/4.71 fof(c26,axiom,(![X7]:(![X8]:(![X9]:(![X10]:((~complement(X8,X7)|((multiplication(X7,X8)=zero&multiplication(X8,X7)=zero)&addition(X7,X8)=one))&(((multiplication(X9,X10)!=zero|multiplication(X10,X9)!=zero)|addition(X9,X10)!=one)|complement(X10,X9))))))),inference(shift_quantors,status(thm),[fof(c25,axiom,((![X7]:(![X8]:(~complement(X8,X7)|((multiplication(X7,X8)=zero&multiplication(X8,X7)=zero)&addition(X7,X8)=one))))&(![X9]:(![X10]:(((multiplication(X9,X10)!=zero|multiplication(X10,X9)!=zero)|addition(X9,X10)!=one)|complement(X10,X9))))),inference(variable_rename,status(thm),[c24])).])).
% 4.51/4.71 fof(c27,axiom,(![X7]:(![X8]:(![X9]:(![X10]:((((~complement(X8,X7)|multiplication(X7,X8)=zero)&(~complement(X8,X7)|multiplication(X8,X7)=zero))&(~complement(X8,X7)|addition(X7,X8)=one))&(((multiplication(X9,X10)!=zero|multiplication(X10,X9)!=zero)|addition(X9,X10)!=one)|complement(X10,X9))))))),inference(distribute,status(thm),[c26])).
% 4.51/4.71 cnf(c30,axiom,~complement(X116,X115)|addition(X115,X116)=one,inference(split_conjunct,status(thm),[c27])).
% 4.51/4.71 cnf(c261,plain,addition(c(skolem0001),skolem0001)=one,inference(resolution,status(thm),[c30, c182])).
% 4.51/4.71 cnf(c1961,plain,one=addition(c(skolem0001),skolem0001),inference(resolution,status(thm),[c261, symmetry])).
% 4.51/4.71 cnf(c8350,plain,one=addition(skolem0001,c(skolem0001)),inference(resolution,status(thm),[c1961, c164])).
% 4.51/4.71 cnf(c14687,plain,$false,inference(resolution,status(thm),[c8350, c11])).
% 4.51/4.71 # SZS output end CNFRefutation
% 4.51/4.71
% 4.51/4.71 # Initial clauses : 33
% 4.51/4.71 # Processed clauses : 503
% 4.51/4.71 # Factors computed : 0
% 4.51/4.71 # Resolvents computed: 14674
% 4.51/4.71 # Tautologies deleted: 3
% 4.51/4.71 # Forward subsumed : 551
% 4.51/4.71 # Backward subsumed : 2
% 4.51/4.71 # -------- CPU Time ---------
% 4.51/4.71 # User time : 4.313 s
% 4.51/4.71 # System time : 0.039 s
% 4.51/4.71 # Total time : 4.352 s
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