TSTP Solution File: KLE086+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : KLE086+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 02:23:06 EDT 2022
% Result : Theorem 43.04s 43.25s
% Output : Refutation 43.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE086+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n018.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 16 07:48:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.04/43.25 # Version: 1.3
% 43.04/43.25 # SZS status Theorem
% 43.04/43.25 # SZS output start CNFRefutation
% 43.04/43.25 fof(goals,conjecture,domain(zero)=zero,input).
% 43.04/43.25 fof(c7,negated_conjecture,(~domain(zero)=zero),inference(assume_negation,status(cth),[goals])).
% 43.04/43.25 fof(c8,negated_conjecture,domain(zero)!=zero,inference(fof_simplification,status(thm),[c7])).
% 43.04/43.25 cnf(c9,negated_conjecture,domain(zero)!=zero,inference(split_conjunct,status(thm),[c8])).
% 43.04/43.25 cnf(symmetry,axiom,X38!=X39|X39=X38,eq_axiom).
% 43.04/43.25 cnf(transitivity,axiom,X42!=X43|X43!=X44|X42=X44,eq_axiom).
% 43.04/43.25 fof(domain4,axiom,(![X0]:domain(X0)=antidomain(antidomain(X0))),input).
% 43.04/43.25 fof(c18,axiom,(![X7]:domain(X7)=antidomain(antidomain(X7))),inference(variable_rename,status(thm),[domain4])).
% 43.04/43.25 cnf(c19,axiom,domain(X79)=antidomain(antidomain(X79)),inference(split_conjunct,status(thm),[c18])).
% 43.04/43.25 cnf(c147,plain,antidomain(antidomain(X88))=domain(X88),inference(resolution,status(thm),[c19, symmetry])).
% 43.04/43.25 cnf(c195,plain,X677!=antidomain(antidomain(X678))|X677=domain(X678),inference(resolution,status(thm),[c147, transitivity])).
% 43.04/43.25 fof(domain1,axiom,(![X0]:multiplication(antidomain(X0),X0)=zero),input).
% 43.04/43.25 fof(c24,axiom,(![X11]:multiplication(antidomain(X11),X11)=zero),inference(variable_rename,status(thm),[domain1])).
% 43.04/43.25 cnf(c25,axiom,multiplication(antidomain(X80),X80)=zero,inference(split_conjunct,status(thm),[c24])).
% 43.04/43.25 cnf(c153,plain,zero=multiplication(antidomain(X89),X89),inference(resolution,status(thm),[c25, symmetry])).
% 43.04/43.25 fof(multiplicative_right_identity,axiom,(![A]:multiplication(A,one)=A),input).
% 43.04/43.25 fof(c42,axiom,(![X25]:multiplication(X25,one)=X25),inference(variable_rename,status(thm),[multiplicative_right_identity])).
% 43.04/43.25 cnf(c43,axiom,multiplication(X47,one)=X47,inference(split_conjunct,status(thm),[c42])).
% 43.04/43.25 cnf(c62,plain,X170!=multiplication(X169,one)|X170=X169,inference(resolution,status(thm),[c43, transitivity])).
% 43.04/43.25 cnf(c537,plain,zero=antidomain(one),inference(resolution,status(thm),[c62, c153])).
% 43.04/43.25 cnf(c628,plain,antidomain(one)=zero,inference(resolution,status(thm),[c537, symmetry])).
% 43.04/43.25 cnf(c706,plain,X613!=antidomain(one)|X613=zero,inference(resolution,status(thm),[c628, transitivity])).
% 43.04/43.25 cnf(c2,plain,X68!=X69|antidomain(X68)=antidomain(X69),eq_axiom).
% 43.04/43.25 cnf(c634,plain,antidomain(zero)=antidomain(antidomain(one)),inference(resolution,status(thm),[c537, c2])).
% 43.04/43.25 cnf(c12540,plain,antidomain(zero)=domain(one),inference(resolution,status(thm),[c195, c634])).
% 43.04/43.25 fof(domain3,axiom,(![X0]:addition(antidomain(antidomain(X0)),antidomain(X0))=one),input).
% 43.04/43.25 fof(c20,axiom,(![X8]:addition(antidomain(antidomain(X8)),antidomain(X8))=one),inference(variable_rename,status(thm),[domain3])).
% 43.04/43.25 cnf(c21,axiom,addition(antidomain(antidomain(X122)),antidomain(X122))=one,inference(split_conjunct,status(thm),[c20])).
% 43.04/43.25 cnf(c293,plain,X1019!=addition(antidomain(antidomain(X1020)),antidomain(X1020))|X1019=one,inference(resolution,status(thm),[c21, transitivity])).
% 43.04/43.25 fof(additive_commutativity,axiom,(![A]:(![B]:addition(A,B)=addition(B,A))),input).
% 43.04/43.25 fof(c52,axiom,(![X34]:(![X35]:addition(X34,X35)=addition(X35,X34))),inference(variable_rename,status(thm),[additive_commutativity])).
% 43.04/43.25 cnf(c53,axiom,addition(X81,X82)=addition(X82,X81),inference(split_conjunct,status(thm),[c52])).
% 43.04/43.25 cnf(c157,plain,X544!=addition(X543,X545)|X544=addition(X545,X543),inference(resolution,status(thm),[c53, transitivity])).
% 43.04/43.25 fof(order,axiom,(![A]:(![B]:(leq(A,B)<=>addition(A,B)=B))),input).
% 43.04/43.25 fof(c26,axiom,(![A]:(![B]:((~leq(A,B)|addition(A,B)=B)&(addition(A,B)!=B|leq(A,B))))),inference(fof_nnf,status(thm),[order])).
% 43.04/43.25 fof(c27,axiom,((![A]:(![B]:(~leq(A,B)|addition(A,B)=B)))&(![A]:(![B]:(addition(A,B)!=B|leq(A,B))))),inference(shift_quantors,status(thm),[c26])).
% 43.04/43.25 fof(c29,axiom,(![X12]:(![X13]:(![X14]:(![X15]:((~leq(X12,X13)|addition(X12,X13)=X13)&(addition(X14,X15)!=X15|leq(X14,X15))))))),inference(shift_quantors,status(thm),[fof(c28,axiom,((![X12]:(![X13]:(~leq(X12,X13)|addition(X12,X13)=X13)))&(![X14]:(![X15]:(addition(X14,X15)!=X15|leq(X14,X15))))),inference(variable_rename,status(thm),[c27])).])).
% 43.04/43.25 cnf(c30,axiom,~leq(X104,X103)|addition(X104,X103)=X103,inference(split_conjunct,status(thm),[c29])).
% 43.04/43.25 fof(multiplicative_left_identity,axiom,(![A]:multiplication(one,A)=A),input).
% 43.04/43.25 fof(c40,axiom,(![X24]:multiplication(one,X24)=X24),inference(variable_rename,status(thm),[multiplicative_left_identity])).
% 43.04/43.25 cnf(c41,axiom,multiplication(one,X46)=X46,inference(split_conjunct,status(thm),[c40])).
% 43.04/43.25 cnf(c61,plain,X55=multiplication(one,X55),inference(resolution,status(thm),[c41, symmetry])).
% 43.04/43.25 cnf(reflexivity,axiom,X36=X36,eq_axiom).
% 43.04/43.25 cnf(c6,plain,X98!=X99|X100!=X101|~leq(X98,X100)|leq(X99,X101),eq_axiom).
% 43.04/43.25 fof(additive_idempotence,axiom,(![A]:addition(A,A)=A),input).
% 43.04/43.25 fof(c46,axiom,(![X29]:addition(X29,X29)=X29),inference(variable_rename,status(thm),[additive_idempotence])).
% 43.04/43.25 cnf(c47,axiom,addition(X37,X37)=X37,inference(split_conjunct,status(thm),[c46])).
% 43.04/43.25 cnf(c31,axiom,addition(X106,X105)!=X105|leq(X106,X105),inference(split_conjunct,status(thm),[c29])).
% 43.04/43.25 cnf(c231,plain,leq(X107,X107),inference(resolution,status(thm),[c31, c47])).
% 43.04/43.25 cnf(c233,plain,X284!=X283|X284!=X285|leq(X283,X285),inference(resolution,status(thm),[c231, c6])).
% 43.04/43.25 cnf(c2293,plain,X286!=X287|leq(X287,X286),inference(resolution,status(thm),[c233, reflexivity])).
% 43.04/43.25 cnf(c2366,plain,leq(multiplication(one,X305),X305),inference(resolution,status(thm),[c2293, c61])).
% 43.04/43.25 cnf(c2682,plain,addition(multiplication(one,X413),X413)=X413,inference(resolution,status(thm),[c2366, c30])).
% 43.04/43.25 cnf(c4017,plain,X448=addition(multiplication(one,X448),X448),inference(resolution,status(thm),[c2682, symmetry])).
% 43.04/43.25 cnf(c7969,plain,X573=addition(X573,multiplication(one,X573)),inference(resolution,status(thm),[c157, c4017])).
% 43.04/43.25 cnf(c8486,plain,addition(X587,multiplication(one,X587))=X587,inference(resolution,status(thm),[c7969, symmetry])).
% 43.04/43.25 fof(additive_identity,axiom,(![A]:addition(A,zero)=A),input).
% 43.04/43.25 fof(c48,axiom,(![X30]:addition(X30,zero)=X30),inference(variable_rename,status(thm),[additive_identity])).
% 43.04/43.25 cnf(c49,axiom,addition(X48,zero)=X48,inference(split_conjunct,status(thm),[c48])).
% 43.04/43.25 cnf(c64,plain,X175!=addition(X174,zero)|X175=X174,inference(resolution,status(thm),[c49, transitivity])).
% 43.04/43.25 cnf(c565,plain,addition(zero,X184)=X184,inference(resolution,status(thm),[c64, c53])).
% 43.04/43.25 cnf(c638,plain,leq(zero,X185),inference(resolution,status(thm),[c565, c31])).
% 43.04/43.25 cnf(c651,plain,zero!=X1512|X1513!=X1514|leq(X1512,X1514),inference(resolution,status(thm),[c638, c6])).
% 43.04/43.25 cnf(c40770,plain,zero!=X1515|leq(X1515,X1516),inference(resolution,status(thm),[c651, c8486])).
% 43.04/43.25 cnf(c41197,plain,leq(antidomain(one),X1518),inference(resolution,status(thm),[c40770, c537])).
% 43.04/43.25 cnf(c41223,plain,addition(antidomain(one),X1663)=X1663,inference(resolution,status(thm),[c41197, c30])).
% 43.04/43.25 cnf(c43626,plain,X1674=addition(antidomain(one),X1674),inference(resolution,status(thm),[c41223, symmetry])).
% 43.04/43.25 cnf(c44344,plain,X1683=addition(X1683,antidomain(one)),inference(resolution,status(thm),[c43626, c157])).
% 43.04/43.25 cnf(c45115,plain,antidomain(antidomain(one))=one,inference(resolution,status(thm),[c44344, c293])).
% 43.04/43.25 cnf(c45782,plain,one=antidomain(antidomain(one)),inference(resolution,status(thm),[c45115, symmetry])).
% 43.04/43.25 cnf(c46748,plain,one=domain(one),inference(resolution,status(thm),[c45782, c195])).
% 43.04/43.25 cnf(c46812,plain,domain(one)=one,inference(resolution,status(thm),[c46748, symmetry])).
% 43.04/43.25 cnf(c46942,plain,X2113!=domain(one)|X2113=one,inference(resolution,status(thm),[c46812, transitivity])).
% 43.04/43.25 cnf(c62997,plain,antidomain(zero)=one,inference(resolution,status(thm),[c46942, c12540])).
% 43.04/43.25 cnf(c63171,plain,antidomain(antidomain(zero))=antidomain(one),inference(resolution,status(thm),[c62997, c2])).
% 43.04/43.25 cnf(c84313,plain,antidomain(antidomain(zero))=zero,inference(resolution,status(thm),[c63171, c706])).
% 43.04/43.25 cnf(c84472,plain,zero=antidomain(antidomain(zero)),inference(resolution,status(thm),[c84313, symmetry])).
% 43.04/43.25 cnf(c84646,plain,zero=domain(zero),inference(resolution,status(thm),[c84472, c195])).
% 43.04/43.25 cnf(c84724,plain,domain(zero)=zero,inference(resolution,status(thm),[c84646, symmetry])).
% 43.04/43.25 cnf(c85009,plain,$false,inference(resolution,status(thm),[c84724, c9])).
% 43.04/43.25 # SZS output end CNFRefutation
% 43.04/43.25
% 43.04/43.25 # Initial clauses : 32
% 43.04/43.25 # Processed clauses : 1155
% 43.04/43.25 # Factors computed : 0
% 43.04/43.25 # Resolvents computed: 85017
% 43.04/43.25 # Tautologies deleted: 1
% 43.04/43.25 # Forward subsumed : 1431
% 43.04/43.25 # Backward subsumed : 67
% 43.04/43.25 # -------- CPU Time ---------
% 43.04/43.25 # User time : 42.667 s
% 43.04/43.25 # System time : 0.221 s
% 43.04/43.25 # Total time : 42.888 s
%------------------------------------------------------------------------------