%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN630-1 : TPTP v8.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %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 : 300s % DateTime : Mon Jun 24 19:06:09 EDT 2024 % Result : Unsatisfiable 0.63s 0.70s % Output : CNFRefutation 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN630-1 : TPTP v8.2.0. Released v2.5.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %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 : 300 % 0.13/0.34 % DateTime : Sun Jun 23 23:11:09 EDT 2024 % 0.13/0.34 % CPUTime : % 0.62/0.65 start to proof:theBenchmark % 0.63/0.68 %------------------------------------------- % 0.63/0.68 % File :CSE---1.7 % 0.63/0.68 % Problem :theBenchmark % 0.63/0.68 % Transform :cnf % 0.63/0.68 % Format :tptp:raw % 0.63/0.68 % Command :java -jar mcs_scs.jar %d %s % 0.63/0.68 % 0.63/0.68 % Result :Theorem 0.000000s % 0.63/0.68 % Output :CNFRefutation 0.000000s % 0.63/0.68 %------------------------------------------- % 0.63/0.69 %-------------------------------------------------------------------------- % 0.63/0.69 % File : SYN630-1 : TPTP v8.2.0. Released v2.5.0. % 0.63/0.69 % Domain : Syntactic % 0.63/0.69 % Problem : Harrison problem 4095 % 0.63/0.69 % Version : Especial. % 0.63/0.69 % English : % 0.63/0.69 % 0.63/0.69 % Refs : [Har01] Email to G. Sutcliffe % 0.63/0.69 % Source : [Har01] % 0.63/0.69 % Names : % 0.63/0.69 % 0.63/0.69 % Status : Unsatisfiable % 0.63/0.69 % Rating : 0.00 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.12 v2.6.0, 0.00 v2.5.0 % 0.63/0.69 % Syntax : Number of clauses : 36 ( 9 unt; 2 nHn; 26 RR) % 0.63/0.69 % Number of literals : 101 ( 0 equ; 64 neg) % 0.63/0.69 % Maximal clause size : 6 ( 2 avg) % 0.63/0.69 % Maximal term depth : 9 ( 2 avg) % 0.63/0.69 % Number of predicates : 6 ( 6 usr; 0 prp; 2-2 aty) % 0.63/0.69 % Number of functors : 23 ( 23 usr; 8 con; 0-2 aty) % 0.63/0.69 % Number of variables : 116 ( 8 sgn) % 0.63/0.69 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.63/0.69 % 0.63/0.69 % Comments : % 0.63/0.69 %-------------------------------------------------------------------------- % 0.63/0.69 cnf(p2_1,negated_conjecture, % 0.63/0.69 p2(X0,X0) ). % 0.63/0.69 % 0.63/0.69 cnf(p6_2,negated_conjecture, % 0.63/0.69 p6(X70,X70) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_3,negated_conjecture, % 0.63/0.69 p4(X41,X41) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_4,negated_conjecture, % 0.63/0.69 p3(X15,X15) ). % 0.63/0.69 % 0.63/0.69 cnf(p21_5,negated_conjecture, % 0.63/0.69 p21(c28,f9(f10(f11(c29)))) ). % 0.63/0.69 % 0.63/0.69 cnf(p21_6,negated_conjecture, % 0.63/0.69 p21(c27,f12(f9(f10(f11(c29))),c24)) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_7,negated_conjecture, % 0.63/0.69 ( p4(f9(X68),f9(X69)) % 0.63/0.69 | ~ p4(X68,X69) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_8,negated_conjecture, % 0.63/0.69 ( p3(f16(X37),f16(X38)) % 0.63/0.69 | ~ p4(X37,X38) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_9,negated_conjecture, % 0.63/0.69 ( p3(f17(X39),f17(X40)) % 0.63/0.69 | ~ p3(X39,X40) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_10,negated_conjecture, % 0.63/0.69 ( p4(f10(X44),f10(X45)) % 0.63/0.69 | ~ p4(X44,X45) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_11,negated_conjecture, % 0.63/0.69 ( p4(f11(X46),f11(X47)) % 0.63/0.69 | ~ p4(X46,X47) ) ). % 0.63/0.69 % 0.63/0.69 cnf(not_p4_12,negated_conjecture, % 0.63/0.69 ~ p4(f5(f7(c23,f8(c24,c25)),c26),c27) ). % 0.63/0.69 % 0.63/0.69 cnf(p2_13,negated_conjecture, % 0.63/0.69 ( p2(X1,X2) % 0.63/0.69 | ~ p2(X0,X1) % 0.63/0.69 | ~ p2(X0,X2) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p6_14,negated_conjecture, % 0.63/0.69 ( p6(X71,X72) % 0.63/0.69 | ~ p6(X70,X71) % 0.63/0.69 | ~ p6(X70,X72) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_15,negated_conjecture, % 0.63/0.69 ( p4(X42,X43) % 0.63/0.69 | ~ p4(X41,X42) % 0.63/0.69 | ~ p4(X41,X43) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_16,negated_conjecture, % 0.63/0.69 ( p3(X16,X17) % 0.63/0.69 | ~ p3(X15,X16) % 0.63/0.69 | ~ p3(X15,X17) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p22_17,negated_conjecture, % 0.63/0.69 p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27) ). % 0.63/0.69 % 0.63/0.69 cnf(p21_18,negated_conjecture, % 0.63/0.69 ( p21(X7,X8) % 0.63/0.69 | ~ p4(X9,X7) % 0.63/0.69 | ~ p4(X10,X8) % 0.63/0.69 | ~ p21(X9,X10) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p22_19,negated_conjecture, % 0.63/0.69 ( p22(X11,X12) % 0.63/0.69 | ~ p4(X13,X11) % 0.63/0.69 | ~ p4(X14,X12) % 0.63/0.69 | ~ p22(X13,X14) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p6_20,negated_conjecture, % 0.63/0.69 ( p6(f8(X73,X74),f8(X75,X76)) % 0.63/0.69 | ~ p4(X74,X76) % 0.63/0.69 | ~ p4(X73,X75) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p2_21,negated_conjecture, % 0.63/0.69 ( p2(f7(X3,X4),f7(X5,X6)) % 0.63/0.69 | ~ p4(X3,X5) % 0.63/0.69 | ~ p6(X4,X6) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_22,negated_conjecture, % 0.63/0.69 ( p3(f13(X25,X26),f13(X27,X28)) % 0.63/0.69 | ~ p3(X25,X27) % 0.63/0.69 | ~ p3(X26,X28) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_23,negated_conjecture, % 0.63/0.69 ( p3(f14(X29,X30),f14(X31,X32)) % 0.63/0.69 | ~ p3(X29,X31) % 0.63/0.69 | ~ p3(X30,X32) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_24,negated_conjecture, % 0.63/0.69 ( p3(f15(X33,X34),f15(X35,X36)) % 0.63/0.69 | ~ p3(X33,X35) % 0.63/0.69 | ~ p4(X34,X36) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_25,negated_conjecture, % 0.63/0.69 ( p4(f12(X48,X49),f12(X50,X51)) % 0.63/0.69 | ~ p4(X48,X50) % 0.63/0.69 | ~ p4(X49,X51) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_26,negated_conjecture, % 0.63/0.69 ( p4(f18(X52,X53),f18(X54,X55)) % 0.63/0.69 | ~ p4(X52,X54) % 0.63/0.69 | ~ p4(X53,X55) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_27,negated_conjecture, % 0.63/0.69 ( p4(f19(X56,X57),f19(X58,X59)) % 0.63/0.69 | ~ p2(X56,X58) % 0.63/0.69 | ~ p3(X57,X59) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_28,negated_conjecture, % 0.63/0.69 ( p4(f20(X60,X61),f20(X62,X63)) % 0.63/0.69 | ~ p2(X60,X62) % 0.63/0.69 | ~ p3(X61,X63) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_29,negated_conjecture, % 0.63/0.69 ( p4(f5(X64,X65),f5(X66,X67)) % 0.63/0.69 | ~ p2(X64,X66) % 0.63/0.69 | ~ p3(X65,X67) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_30,negated_conjecture, % 0.63/0.69 p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_31,negated_conjecture, % 0.63/0.69 ( p4(f5(f7(X19,f8(X20,X21)),X18),X23) % 0.63/0.69 | ~ p4(X24,f9(c29)) % 0.63/0.69 | ~ p21(X22,f9(f10(f11(c29)))) % 0.63/0.69 | ~ p21(X23,f12(f9(f10(f11(c29))),X20)) % 0.63/0.69 | ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_32,negated_conjecture, % 0.63/0.69 ( p4(f19(f7(X19,f8(X20,X21)),X18),X24) % 0.63/0.69 | ~ p4(X24,f9(c29)) % 0.63/0.69 | ~ p21(X22,f9(f10(f11(c29)))) % 0.63/0.69 | ~ p21(X23,f12(f9(f10(f11(c29))),X20)) % 0.63/0.69 | ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_33,negated_conjecture, % 0.63/0.69 ( p3(X18,f16(f9(c29))) % 0.63/0.69 | p4(f20(f7(X19,f8(X20,X21)),X18),X22) % 0.63/0.69 | ~ p4(X24,f9(c29)) % 0.63/0.69 | ~ p21(X22,f9(f10(f11(c29)))) % 0.63/0.69 | ~ p21(X23,f12(f9(f10(f11(c29))),X20)) % 0.63/0.69 | ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_34,negated_conjecture, % 0.63/0.69 ( p4(f5(f7(X19,f8(X20,X21)),X18),X23) % 0.63/0.69 | ~ p21(X22,f9(f10(f11(c29)))) % 0.63/0.69 | ~ p21(X23,f12(f9(f10(f11(c29))),X20)) % 0.63/0.69 | ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23) % 0.63/0.69 | ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p4_35,negated_conjecture, % 0.63/0.69 ( p4(f19(f7(X19,f8(X20,X21)),X18),X24) % 0.63/0.69 | ~ p21(X22,f9(f10(f11(c29)))) % 0.63/0.69 | ~ p21(X23,f12(f9(f10(f11(c29))),X20)) % 0.63/0.69 | ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23) % 0.63/0.69 | ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ) ). % 0.63/0.69 % 0.63/0.69 cnf(p3_36,negated_conjecture, % 0.63/0.69 ( p3(X18,f16(f9(c29))) % 0.63/0.69 | p4(f20(f7(X19,f8(X20,X21)),X18),X22) % 0.63/0.69 | ~ p21(X22,f9(f10(f11(c29)))) % 0.63/0.69 | ~ p21(X23,f12(f9(f10(f11(c29))),X20)) % 0.63/0.69 | ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23) % 0.63/0.69 | ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))) ) ). % 0.63/0.70 % 0.63/0.70 %-------------------------------------------------------------------------- % 0.63/0.70 %------------------------------------------- % 0.63/0.70 % Proof found % 0.63/0.70 % SZS status Theorem for theBenchmark % 0.63/0.70 % SZS output start Proof % 0.63/0.70 %ClaNum:36(EqnAxiom:0) % 0.63/0.70 %VarNum:237(SingletonVarNum:116) % 0.63/0.70 %MaxLitNum:6 % 0.63/0.70 %MaxfuncDepth:8 % 0.63/0.70 %SharedTerms:35 % 0.63/0.70 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 % 0.63/0.70 %singleGoalClaCount:9 % 0.63/0.70 [5]P5(a1,f11(f9(f8(a7)))) % 0.63/0.70 [9]~P3(f21(f20(a4,f19(a3,a6)),a5),a2) % 0.63/0.70 [6]P5(a2,f12(f11(f9(f8(a7))),a3)) % 0.63/0.70 [7]P6(f12(f11(f9(f8(a7))),f13(a3,f11(f8(a7)))),a2) % 0.63/0.70 [8]P4(a5,f17(f15(f18(f14(f11(f8(a7)))),a1),f17(f15(f14(f11(f9(f8(a7)))),a10),f16(f14(a2),f15(f14(f11(f9(f8(a7)))),a6))))) % 0.63/0.70 [1]P1(x11,x11) % 0.63/0.70 [2]P2(x21,x21) % 0.63/0.70 [3]P3(x31,x31) % 0.63/0.70 [4]P4(x41,x41) % 0.63/0.70 [10]~P3(x101,x102)+P3(f8(x101),f8(x102)) % 0.63/0.70 [11]~P3(x111,x112)+P3(f9(x111),f9(x112)) % 0.63/0.70 [12]~P3(x121,x122)+P3(f11(x121),f11(x122)) % 0.63/0.70 [13]~P3(x131,x132)+P4(f14(x131),f14(x132)) % 0.63/0.70 [14]~P4(x141,x142)+P4(f18(x141),f18(x142)) % 0.63/0.70 [15]~P1(x153,x151)+P1(x151,x152)+~P1(x153,x152) % 0.63/0.70 [16]~P2(x163,x161)+P2(x161,x162)+~P2(x163,x162) % 0.63/0.70 [17]~P3(x173,x171)+P3(x171,x172)+~P3(x173,x172) % 0.63/0.70 [18]~P4(x183,x181)+P4(x181,x182)+~P4(x183,x182) % 0.63/0.70 [21]~P2(x212,x214)+~P3(x211,x213)+P1(f20(x211,x212),f20(x213,x214)) % 0.63/0.70 [22]~P3(x222,x224)+~P3(x221,x223)+P2(f19(x221,x222),f19(x223,x224)) % 0.63/0.70 [23]~P3(x232,x234)+~P3(x231,x233)+P3(f12(x231,x232),f12(x233,x234)) % 0.63/0.70 [24]~P1(x241,x243)+~P4(x242,x244)+P3(f21(x241,x242),f21(x243,x244)) % 0.63/0.70 [25]~P3(x252,x254)+~P3(x251,x253)+P3(f13(x251,x252),f13(x253,x254)) % 0.63/0.70 [26]~P1(x261,x263)+~P4(x262,x264)+P3(f22(x261,x262),f22(x263,x264)) % 0.63/0.70 [27]~P1(x271,x273)+~P4(x272,x274)+P3(f23(x271,x272),f23(x273,x274)) % 0.63/0.70 [28]~P4(x282,x284)+~P4(x281,x283)+P4(f17(x281,x282),f17(x283,x284)) % 0.63/0.70 [29]~P4(x292,x294)+~P4(x291,x293)+P4(f16(x291,x292),f16(x293,x294)) % 0.63/0.70 [30]~P3(x302,x304)+~P4(x301,x303)+P4(f15(x301,x302),f15(x303,x304)) % 0.63/0.70 [19]~P5(x194,x193)+P5(x191,x192)+~P3(x193,x192)+~P3(x194,x191) % 0.63/0.70 [20]~P6(x204,x203)+P6(x201,x202)+~P3(x203,x202)+~P3(x204,x201) % 0.63/0.70 [31]~P3(x316,f11(a7))+P3(f21(f20(x311,f19(x312,x313)),x314),x315)+~P5(x317,f11(f9(f8(a7))))+~P5(x315,f12(f11(f9(f8(a7))),x312))+~P4(x314,f17(f15(f18(f14(f11(f8(a7)))),x317),f17(f15(f14(f11(f9(f8(a7)))),x316),f16(f14(x315),f15(f14(f11(f9(f8(a7)))),x313))))) % 0.63/0.70 [32]~P3(x325,f11(a7))+P3(f22(f20(x321,f19(x322,x323)),x324),x325)+~P5(x326,f11(f9(f8(a7))))+~P5(x327,f12(f11(f9(f8(a7))),x322))+~P4(x324,f17(f15(f18(f14(f11(f8(a7)))),x326),f17(f15(f14(f11(f9(f8(a7)))),x325),f16(f14(x327),f15(f14(f11(f9(f8(a7)))),x323))))) % 0.63/0.70 [34]P3(f21(f20(x341,f19(x342,x343)),x344),x345)+~P5(x346,f11(f9(f8(a7))))+~P5(x345,f12(f11(f9(f8(a7))),x342))+~P6(f12(f11(f9(f8(a7))),f13(x342,f11(f8(a7)))),x345)+~P4(x344,f17(f15(f18(f14(f11(f8(a7)))),x346),f17(f15(f14(f11(f9(f8(a7)))),x347),f16(f14(x345),f15(f14(f11(f9(f8(a7)))),x343))))) % 0.63/0.70 [35]P3(f22(f20(x351,f19(x352,x353)),x354),x355)+~P5(x356,f11(f9(f8(a7))))+~P5(x357,f12(f11(f9(f8(a7))),x352))+~P6(f12(f11(f9(f8(a7))),f13(x352,f11(f8(a7)))),x357)+~P4(x354,f17(f15(f18(f14(f11(f8(a7)))),x356),f17(f15(f14(f11(f9(f8(a7)))),x355),f16(f14(x357),f15(f14(f11(f9(f8(a7)))),x353))))) % 0.63/0.70 [33]~P3(x336,f11(a7))+P4(x331,f14(f11(a7)))+P3(f23(f20(x332,f19(x333,x334)),x331),x335)+~P5(x335,f11(f9(f8(a7))))+~P5(x337,f12(f11(f9(f8(a7))),x333))+~P4(x331,f17(f15(f18(f14(f11(f8(a7)))),x335),f17(f15(f14(f11(f9(f8(a7)))),x336),f16(f14(x337),f15(f14(f11(f9(f8(a7)))),x334))))) % 0.63/0.70 [36]P4(x361,f14(f11(a7)))+P3(f23(f20(x362,f19(x363,x364)),x361),x365)+~P5(x365,f11(f9(f8(a7))))+~P5(x366,f12(f11(f9(f8(a7))),x363))+~P6(f12(f11(f9(f8(a7))),f13(x363,f11(f8(a7)))),x366)+~P4(x361,f17(f15(f18(f14(f11(f8(a7)))),x365),f17(f15(f14(f11(f9(f8(a7)))),x367),f16(f14(x366),f15(f14(f11(f9(f8(a7)))),x364))))) % 0.63/0.70 %EqnAxiom % 0.63/0.70 % 0.63/0.70 %------------------------------------------- % 0.63/0.70 cnf(37,plain, % 0.63/0.70 ($false), % 0.63/0.70 inference(scs_inference,[],[9,5,6,7,8,34]), % 0.63/0.70 ['proof']). % 0.63/0.70 % SZS output end Proof % 0.63/0.70 % Total time :0.000000s %------------------------------------------------------------------------------