%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN666-1 : 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 : n024.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 19:06:15 EDT 2024 % Result : Unsatisfiable 0.54s 0.81s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN666-1 : TPTP v8.2.0. Released v2.5.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n024.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 : 300 % 0.12/0.33 % DateTime : Sun Jun 23 21:48:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 0.54/0.80 %------------------------------------------- % 0.54/0.80 % File :CSE---1.7 % 0.54/0.80 % Problem :theBenchmark % 0.54/0.80 % Transform :cnf % 0.54/0.80 % Format :tptp:raw % 0.54/0.80 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.80 % 0.54/0.80 % Result :Theorem 0.190000s % 0.54/0.80 % Output :CNFRefutation 0.190000s % 0.54/0.80 %------------------------------------------- % 0.54/0.80 %-------------------------------------------------------------------------- % 0.54/0.80 % File : SYN666-1 : TPTP v8.2.0. Released v2.5.0. % 0.54/0.80 % Domain : Syntactic % 0.54/0.80 % Problem : Harrison problem 4533 % 0.54/0.80 % Version : Especial. % 0.54/0.80 % English : % 0.54/0.80 % 0.54/0.80 % Refs : [Har01] Email to G. Sutcliffe % 0.54/0.80 % Source : [Har01] % 0.54/0.80 % Names : % 0.54/0.80 % 0.54/0.80 % Status : Unsatisfiable % 0.54/0.80 % Rating : 0.00 v2.5.0 % 0.54/0.80 % Syntax : Number of clauses : 54 ( 23 unt; 2 nHn; 44 RR) % 0.54/0.80 % Number of literals : 117 ( 0 equ; 63 neg) % 0.54/0.80 % Maximal clause size : 5 ( 2 avg) % 0.54/0.80 % Maximal term depth : 6 ( 1 avg) % 0.54/0.80 % Number of predicates : 15 ( 15 usr; 0 prp; 1-3 aty) % 0.54/0.80 % Number of functors : 21 ( 21 usr; 10 con; 0-2 aty) % 0.54/0.80 % Number of variables : 110 ( 3 sgn) % 0.54/0.80 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.54/0.80 % 0.54/0.80 % Comments : % 0.54/0.80 %-------------------------------------------------------------------------- % 0.54/0.80 cnf(c28_is_p22_1,negated_conjecture, % 0.54/0.80 p22(c28) ). % 0.54/0.80 % 0.54/0.80 cnf(p10_2,negated_conjecture, % 0.54/0.80 p10(X0,X0) ). % 0.54/0.80 % 0.54/0.80 cnf(p7_3,negated_conjecture, % 0.54/0.80 p7(X91,X91) ). % 0.54/0.80 % 0.54/0.80 cnf(p6_4,negated_conjecture, % 0.54/0.80 p6(X88,X88) ). % 0.54/0.80 % 0.54/0.80 cnf(p3_5,negated_conjecture, % 0.54/0.80 p3(X83,X83) ). % 0.54/0.80 % 0.54/0.80 cnf(p20_6,negated_conjecture, % 0.54/0.81 p20(X51,X51) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_7,negated_conjecture, % 0.54/0.81 p2(X28,X28) ). % 0.54/0.81 % 0.54/0.81 cnf(p19_8,negated_conjecture, % 0.54/0.81 p19(X25,X25) ). % 0.54/0.81 % 0.54/0.81 cnf(p14_9,negated_conjecture, % 0.54/0.81 p14(X18,X18) ). % 0.54/0.81 % 0.54/0.81 cnf(p12_10,negated_conjecture, % 0.54/0.81 p12(X11,X11) ). % 0.54/0.81 % 0.54/0.81 cnf(p10_11,negated_conjecture, % 0.54/0.81 p10(c35,c34) ). % 0.54/0.81 % 0.54/0.81 cnf(p25_12,negated_conjecture, % 0.54/0.81 p25(c33,c36) ). % 0.54/0.81 % 0.54/0.81 cnf(p25_13,negated_conjecture, % 0.54/0.81 p25(c32,c36) ). % 0.54/0.81 % 0.54/0.81 cnf(p25_14,negated_conjecture, % 0.54/0.81 p25(c32,c33) ). % 0.54/0.81 % 0.54/0.81 cnf(p7_15,negated_conjecture, % 0.54/0.81 p7(f8(c29),c30) ). % 0.54/0.81 % 0.54/0.81 cnf(p26_16,negated_conjecture, % 0.54/0.81 p26(f21(c28,c37),c34) ). % 0.54/0.81 % 0.54/0.81 cnf(p23_17,negated_conjecture, % 0.54/0.81 p23(c28,f4(f5(X66)),f4(X66)) ). % 0.54/0.81 % 0.54/0.81 cnf(not_p2_18,negated_conjecture, % 0.54/0.81 ~ p2(X96,f18(X96,f9(f17(c31)))) ). % 0.54/0.81 % 0.54/0.81 cnf(p22_19,negated_conjecture, % 0.54/0.81 ( p22(X58) % 0.54/0.81 | ~ p22(X59) % 0.54/0.81 | ~ p19(X59,X58) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_20,negated_conjecture, % 0.54/0.81 ( p2(f17(X41),f17(X42)) % 0.54/0.81 | ~ p2(X41,X42) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p7_21,negated_conjecture, % 0.54/0.81 ( p7(f8(X94),f8(X95)) % 0.54/0.81 | ~ p6(X94,X95) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p3_22,negated_conjecture, % 0.54/0.81 ( p3(f4(X86),f4(X87)) % 0.54/0.81 | ~ p2(X86,X87) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_23,negated_conjecture, % 0.54/0.81 ( p2(f9(X49),f9(X50)) % 0.54/0.81 | ~ p2(X49,X50) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_24,negated_conjecture, % 0.54/0.81 ( p2(f5(X47),f5(X48)) % 0.54/0.81 | ~ p2(X47,X48) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p10_25,negated_conjecture, % 0.54/0.81 ( p10(X1,X2) % 0.54/0.81 | ~ p10(X0,X1) % 0.54/0.81 | ~ p10(X0,X2) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p7_26,negated_conjecture, % 0.54/0.81 ( p7(X92,X93) % 0.54/0.81 | ~ p7(X91,X92) % 0.54/0.81 | ~ p7(X91,X93) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p6_27,negated_conjecture, % 0.54/0.81 ( p6(X89,X90) % 0.54/0.81 | ~ p6(X88,X89) % 0.54/0.81 | ~ p6(X88,X90) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p3_28,negated_conjecture, % 0.54/0.81 ( p3(X84,X85) % 0.54/0.81 | ~ p3(X83,X84) % 0.54/0.81 | ~ p3(X83,X85) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p20_29,negated_conjecture, % 0.54/0.81 ( p20(X52,X53) % 0.54/0.81 | ~ p20(X51,X52) % 0.54/0.81 | ~ p20(X51,X53) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_30,negated_conjecture, % 0.54/0.81 ( p2(X29,X30) % 0.54/0.81 | ~ p2(X28,X29) % 0.54/0.81 | ~ p2(X28,X30) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p19_31,negated_conjecture, % 0.54/0.81 ( p19(X26,X27) % 0.54/0.81 | ~ p19(X25,X26) % 0.54/0.81 | ~ p19(X25,X27) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p14_32,negated_conjecture, % 0.54/0.81 ( p14(X19,X20) % 0.54/0.81 | ~ p14(X18,X19) % 0.54/0.81 | ~ p14(X18,X20) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p12_33,negated_conjecture, % 0.54/0.81 ( p12(X12,X13) % 0.54/0.81 | ~ p12(X11,X12) % 0.54/0.81 | ~ p12(X11,X13) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p27_34,negated_conjecture, % 0.54/0.81 ( p27(X79,X80) % 0.54/0.81 | ~ p2(X82,X80) % 0.54/0.81 | ~ p27(X81,X82) % 0.54/0.81 | ~ p2(X81,X79) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p24_35,negated_conjecture, % 0.54/0.81 ( p24(X67,X68) % 0.54/0.81 | ~ p14(X70,X67) % 0.54/0.81 | ~ p24(X70,X69) % 0.54/0.81 | ~ p12(X69,X68) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p25_36,negated_conjecture, % 0.54/0.81 ( p25(X71,X72) % 0.54/0.81 | ~ p2(X74,X72) % 0.54/0.81 | ~ p25(X73,X74) % 0.54/0.81 | ~ p2(X73,X71) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p26_37,negated_conjecture, % 0.54/0.81 ( p26(X75,X76) % 0.54/0.81 | ~ p20(X78,X75) % 0.54/0.81 | ~ p26(X78,X77) % 0.54/0.81 | ~ p10(X77,X76) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_38,negated_conjecture, % 0.54/0.81 p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_39,negated_conjecture, % 0.54/0.81 p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))) ). % 0.54/0.81 % 0.54/0.81 cnf(p27_40,negated_conjecture, % 0.54/0.81 p27(f11(f4(c36),c37),f11(f4(f16(c36,f9(f17(c31)))),c37)) ). % 0.54/0.81 % 0.54/0.81 cnf(p25_41,negated_conjecture, % 0.54/0.81 p25(f11(f4(c33),c35),f11(f4(f16(c33,f9(f17(c31)))),c35)) ). % 0.54/0.81 % 0.54/0.81 cnf(not_p2_42,negated_conjecture, % 0.54/0.81 ~ p2(f11(f4(f16(c32,f9(f17(c31)))),c34),f11(f4(c32),c34)) ). % 0.54/0.81 % 0.54/0.81 cnf(p20_43,negated_conjecture, % 0.54/0.81 ( p20(f21(X54,X55),f21(X56,X57)) % 0.54/0.81 | ~ p10(X55,X57) % 0.54/0.81 | ~ p19(X54,X56) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p12_44,negated_conjecture, % 0.54/0.81 ( p12(f13(X14,X15),f13(X16,X17)) % 0.54/0.81 | ~ p10(X14,X16) % 0.54/0.81 | ~ p2(X15,X17) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p14_45,negated_conjecture, % 0.54/0.81 ( p14(f15(X21,X22),f15(X23,X24)) % 0.54/0.81 | ~ p12(X22,X24) % 0.54/0.81 | ~ p7(X21,X23) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_46,negated_conjecture, % 0.54/0.81 ( p2(f11(X31,X32),f11(X33,X34)) % 0.54/0.81 | ~ p10(X32,X34) % 0.54/0.81 | ~ p3(X31,X33) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_47,negated_conjecture, % 0.54/0.81 ( p2(f16(X37,X38),f16(X39,X40)) % 0.54/0.81 | ~ p2(X37,X39) % 0.54/0.81 | ~ p2(X38,X40) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_48,negated_conjecture, % 0.54/0.81 ( p2(f18(X43,X44),f18(X45,X46)) % 0.54/0.81 | ~ p2(X43,X45) % 0.54/0.81 | ~ p2(X44,X46) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_49,negated_conjecture, % 0.54/0.81 ( p2(f11(f4(X35),c34),f11(f4(c32),c34)) % 0.54/0.81 | ~ p25(X35,c33) % 0.54/0.81 | ~ p25(c32,X35) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p2_50,negated_conjecture, % 0.54/0.81 ( p2(f11(f4(X36),c34),f11(f4(c32),c34)) % 0.54/0.81 | ~ p25(X36,c36) % 0.54/0.81 | ~ p25(c32,X36) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p10_51,negated_conjecture, % 0.54/0.81 ( p10(X7,X8) % 0.54/0.81 | p26(f21(c28,X7),X8) % 0.54/0.81 | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p23_52,negated_conjecture, % 0.54/0.81 ( p23(X60,X61,X62) % 0.54/0.81 | ~ p3(X65,X62) % 0.54/0.81 | ~ p3(X64,X61) % 0.54/0.81 | ~ p19(X63,X60) % 0.54/0.81 | ~ p23(X63,X64,X65) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p10_53,negated_conjecture, % 0.54/0.81 ( p10(X3,X4) % 0.54/0.81 | ~ p2(f11(f4(X5),X3),f9(c31)) % 0.54/0.81 | ~ p24(f15(c30,f13(X3,X5)),f13(X4,X6)) ) ). % 0.54/0.81 % 0.54/0.81 cnf(p26_54,negated_conjecture, % 0.54/0.81 ( p26(f21(c28,X7),X8) % 0.54/0.81 | p25(f11(f4(X9),X8),f11(f4(X10),X8)) % 0.54/0.81 | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ). % 0.54/0.81 % 0.54/0.81 %-------------------------------------------------------------------------- % 0.54/0.81 %------------------------------------------- % 0.54/0.81 % Proof found % 0.54/0.81 % SZS status Theorem for theBenchmark % 0.54/0.81 % SZS output start Proof % 0.54/0.81 %ClaNum:54(EqnAxiom:0) % 0.54/0.81 %VarNum:224(SingletonVarNum:110) % 0.54/0.81 %MaxLitNum:5 % 0.54/0.81 %MaxfuncDepth:5 % 0.54/0.81 %SharedTerms:46 % 0.54/0.81 %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 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 % 0.54/0.81 %singleGoalClaCount:23 % 0.54/0.81 [1]P1(a1) % 0.54/0.81 [2]P2(a2,a3) % 0.54/0.81 [3]P8(a4,a9) % 0.54/0.81 [4]P8(a5,a4) % 0.54/0.81 [5]P8(a5,a9) % 0.54/0.81 [15]P11(f10(a6),a7) % 0.54/0.81 [16]P14(f12(a1,a11),a3) % 0.54/0.81 [18]P4(f13(f20(a5),a3),f18(f13(f20(a4),a3),f21(f14(a8)))) % 0.54/0.81 [19]P4(f13(f20(a5),a3),f18(f13(f20(a9),a3),f21(f14(a8)))) % 0.54/0.81 [20]P8(f13(f20(a4),a2),f13(f20(f15(a4,f21(f14(a8)))),a2)) % 0.54/0.81 [21]P15(f13(f20(a9),a11),f13(f20(f15(a9,f21(f14(a8)))),a11)) % 0.54/0.81 [23]~P4(f13(f20(f15(a5,f21(f14(a8)))),a3),f13(f20(a5),a3)) % 0.54/0.81 [6]P2(x61,x61) % 0.54/0.81 [7]P11(x71,x71) % 0.54/0.81 [8]P12(x81,x81) % 0.54/0.81 [9]P13(x91,x91) % 0.54/0.81 [10]P3(x101,x101) % 0.54/0.81 [11]P4(x111,x111) % 0.54/0.81 [12]P5(x121,x121) % 0.54/0.81 [13]P6(x131,x131) % 0.54/0.81 [14]P7(x141,x141) % 0.54/0.81 [17]P9(a1,f20(f19(x171)),f20(x171)) % 0.54/0.81 [22]~P4(x221,f18(x221,f21(f14(a8)))) % 0.54/0.81 [25]~P12(x251,x252)+P11(f10(x251),f10(x252)) % 0.54/0.81 [26]~P4(x261,x262)+P13(f20(x261),f20(x262)) % 0.54/0.81 [27]~P4(x271,x272)+P4(f19(x271),f19(x272)) % 0.54/0.81 [28]~P4(x281,x282)+P4(f14(x281),f14(x282)) % 0.54/0.81 [29]~P4(x291,x292)+P4(f21(x291),f21(x292)) % 0.54/0.81 [49]~P8(x491,a4)+~P8(a5,x491)+P4(f13(f20(x491),a3),f13(f20(a5),a3)) % 0.54/0.81 [50]~P8(x501,a9)+~P8(a5,x501)+P4(f13(f20(x501),a3),f13(f20(a5),a3)) % 0.54/0.81 [24]~P5(x242,x241)+P1(x241)+~P1(x242) % 0.54/0.81 [30]~P2(x303,x301)+P2(x301,x302)+~P2(x303,x302) % 0.54/0.81 [31]~P11(x313,x311)+P11(x311,x312)+~P11(x313,x312) % 0.54/0.81 [32]~P12(x323,x321)+P12(x321,x322)+~P12(x323,x322) % 0.54/0.82 [33]~P13(x333,x331)+P13(x331,x332)+~P13(x333,x332) % 0.54/0.82 [34]~P3(x343,x341)+P3(x341,x342)+~P3(x343,x342) % 0.54/0.82 [35]~P4(x353,x351)+P4(x351,x352)+~P4(x353,x352) % 0.54/0.82 [36]~P5(x363,x361)+P5(x361,x362)+~P5(x363,x362) % 0.54/0.82 [37]~P6(x373,x371)+P6(x371,x372)+~P6(x373,x372) % 0.54/0.82 [38]~P7(x383,x381)+P7(x381,x382)+~P7(x383,x382) % 0.54/0.82 [43]~P2(x432,x434)+~P5(x431,x433)+P3(f12(x431,x432),f12(x433,x434)) % 0.54/0.82 [44]~P4(x442,x444)+~P4(x441,x443)+P4(f18(x441,x442),f18(x443,x444)) % 0.54/0.82 [45]~P2(x452,x454)+~P13(x451,x453)+P4(f13(x451,x452),f13(x453,x454)) % 0.54/0.82 [46]~P4(x462,x464)+~P4(x461,x463)+P4(f15(x461,x462),f15(x463,x464)) % 0.54/0.82 [47]~P11(x471,x473)+~P7(x472,x474)+P6(f16(x471,x472),f16(x473,x474)) % 0.54/0.82 [48]~P2(x481,x483)+~P4(x482,x484)+P7(f17(x481,x482),f17(x483,x484)) % 0.54/0.82 [52]P2(x521,x522)+P14(f12(a1,x521),x522)+~P10(f16(a7,f17(x521,x523)),f17(x522,x524)) % 0.54/0.82 [53]P2(x531,x532)+~P10(f16(a7,f17(x531,x533)),f17(x532,x534))+~P4(f13(f20(x533),x531),f21(a8)) % 0.54/0.82 [54]P14(f12(a1,x541),x542)+P8(f13(f20(x543),x542),f13(f20(x544),x542))+~P10(f16(a7,f17(x541,x543)),f17(x542,x544)) % 0.54/0.82 [39]~P8(x393,x394)+P8(x391,x392)+~P4(x393,x391)+~P4(x394,x392) % 0.54/0.82 [40]~P14(x404,x403)+P14(x401,x402)+~P2(x403,x402)+~P3(x404,x401) % 0.54/0.82 [41]~P15(x413,x414)+P15(x411,x412)+~P4(x413,x411)+~P4(x414,x412) % 0.54/0.82 [42]~P10(x423,x424)+P10(x421,x422)+~P6(x423,x421)+~P7(x424,x422) % 0.54/0.82 [51]~P9(x516,x514,x515)+P9(x511,x512,x513)+~P13(x514,x512)+~P13(x515,x513)+~P5(x516,x511) % 0.54/0.82 %EqnAxiom % 0.54/0.82 % 0.54/0.82 %------------------------------------------- % 0.54/0.82 cnf(155,plain, % 0.54/0.82 (~P4(a9,x1551)+P8(a4,x1551)), % 0.54/0.82 inference(scs_inference,[],[11,3,39])). % 0.54/0.82 cnf(161,plain, % 0.54/0.82 (P4(f13(f20(a4),a3),f13(f20(a5),a3))), % 0.54/0.82 inference(scs_inference,[],[11,4,155,50])). % 0.54/0.82 cnf(178,plain, % 0.54/0.82 (~P4(f13(f20(a5),a3),f13(f20(a4),a3))), % 0.54/0.82 inference(scs_inference,[],[18,22,35])). % 0.54/0.82 cnf(200,plain, % 0.54/0.82 ($false), % 0.54/0.82 inference(scs_inference,[],[161,178,11,35]), % 0.54/0.82 ['proof']). % 0.54/0.82 % SZS output end Proof % 0.54/0.82 % Total time :0.190000s %------------------------------------------------------------------------------