%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN674-1 : TPTP v8.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n032.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 19:06:16 EDT 2024 % Result : Unsatisfiable 0.76s 0.88s % Output : CNFRefutation 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYN674-1 : TPTP v8.2.0. Released v2.5.0. % 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.28 % Computer : n032.cluster.edu % 0.10/0.28 % Model : x86_64 x86_64 % 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.28 % Memory : 8042.1875MB % 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.28 % CPULimit : 300 % 0.10/0.28 % WCLimit : 300 % 0.10/0.28 % DateTime : Sun Jun 23 18:36:08 EDT 2024 % 0.10/0.29 % CPUTime : % 0.14/0.46 start to proof:theBenchmark % 0.76/0.87 %------------------------------------------- % 0.76/0.87 % File :CSE---1.7 % 0.76/0.87 % Problem :theBenchmark % 0.76/0.87 % Transform :cnf % 0.76/0.87 % Format :tptp:raw % 0.76/0.87 % Command :java -jar mcs_scs.jar %d %s % 0.76/0.87 % 0.76/0.87 % Result :Theorem 0.380000s % 0.76/0.87 % Output :CNFRefutation 0.380000s % 0.76/0.87 %------------------------------------------- % 0.76/0.87 %-------------------------------------------------------------------------- % 0.76/0.87 % File : SYN674-1 : TPTP v8.2.0. Released v2.5.0. % 0.76/0.87 % Domain : Syntactic % 0.76/0.87 % Problem : Harrison problem 4553 % 0.76/0.87 % Version : Especial. % 0.76/0.87 % English : % 0.76/0.87 % 0.76/0.87 % Refs : [Har01] Email to G. Sutcliffe % 0.76/0.87 % Source : [Har01] % 0.76/0.87 % Names : % 0.76/0.87 % 0.76/0.87 % Status : Unsatisfiable % 0.76/0.87 % Rating : 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v2.5.0 % 0.76/0.87 % Syntax : Number of clauses : 55 ( 24 unt; 2 nHn; 45 RR) % 0.76/0.87 % Number of literals : 118 ( 0 equ; 63 neg) % 0.76/0.87 % Maximal clause size : 5 ( 2 avg) % 0.76/0.87 % Maximal term depth : 6 ( 1 avg) % 0.76/0.87 % Number of predicates : 15 ( 15 usr; 0 prp; 1-3 aty) % 0.76/0.87 % Number of functors : 21 ( 21 usr; 10 con; 0-2 aty) % 0.76/0.87 % Number of variables : 110 ( 3 sgn) % 0.76/0.87 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.76/0.87 % 0.76/0.87 % Comments : % 0.76/0.87 %-------------------------------------------------------------------------- % 0.76/0.87 cnf(c28_is_p22_1,negated_conjecture, % 0.76/0.87 p22(c28) ). % 0.76/0.87 % 0.76/0.87 cnf(p10_2,negated_conjecture, % 0.76/0.87 p10(X0,X0) ). % 0.76/0.87 % 0.76/0.87 cnf(p7_3,negated_conjecture, % 0.76/0.87 p7(X91,X91) ). % 0.76/0.87 % 0.76/0.87 cnf(p6_4,negated_conjecture, % 0.76/0.87 p6(X88,X88) ). % 0.76/0.87 % 0.76/0.87 cnf(p3_5,negated_conjecture, % 0.76/0.87 p3(X83,X83) ). % 0.76/0.87 % 0.76/0.87 cnf(p2_6,negated_conjecture, % 0.76/0.87 p2(X35,X35) ). % 0.76/0.87 % 0.76/0.87 cnf(p19_7,negated_conjecture, % 0.76/0.87 p19(X28,X28) ). % 0.76/0.87 % 0.76/0.87 cnf(p18_8,negated_conjecture, % 0.76/0.87 p18(X25,X25) ). % 0.76/0.87 % 0.76/0.87 cnf(p14_9,negated_conjecture, % 0.76/0.87 p14(X18,X18) ). % 0.76/0.87 % 0.76/0.87 cnf(p12_10,negated_conjecture, % 0.76/0.87 p12(X11,X11) ). % 0.76/0.87 % 0.76/0.87 cnf(p10_11,negated_conjecture, % 0.76/0.87 p10(c37,c34) ). % 0.76/0.87 % 0.76/0.87 cnf(p25_12,negated_conjecture, % 0.76/0.87 p25(c33,c36) ). % 0.76/0.87 % 0.76/0.87 cnf(p25_13,negated_conjecture, % 0.76/0.87 p25(c32,c36) ). % 0.76/0.87 % 0.76/0.87 cnf(p25_14,negated_conjecture, % 0.76/0.87 p25(c32,c33) ). % 0.76/0.87 % 0.76/0.87 cnf(p2_15,negated_conjecture, % 0.76/0.87 p2(c32,f9(c31)) ). % 0.76/0.87 % 0.76/0.87 cnf(p7_16,negated_conjecture, % 0.76/0.87 p7(f8(c29),c30) ). % 0.76/0.87 % 0.76/0.87 cnf(p26_17,negated_conjecture, % 0.76/0.87 p26(f20(c28,c35),c34) ). % 0.76/0.87 % 0.76/0.87 cnf(p23_18,negated_conjecture, % 0.76/0.87 p23(c28,f4(f5(X66)),f4(X66)) ). % 0.76/0.87 % 0.76/0.87 cnf(not_p2_19,negated_conjecture, % 0.76/0.87 ~ p2(X96,f16(X96,f9(f17(c31)))) ). % 0.76/0.87 % 0.76/0.87 cnf(p22_20,negated_conjecture, % 0.76/0.87 ( p22(X58) % 0.76/0.87 | ~ p22(X59) % 0.76/0.87 | ~ p18(X59,X58) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p2_21,negated_conjecture, % 0.76/0.87 ( p2(f17(X48),f17(X49)) % 0.76/0.87 | ~ p2(X48,X49) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p7_22,negated_conjecture, % 0.76/0.87 ( p7(f8(X94),f8(X95)) % 0.76/0.87 | ~ p6(X94,X95) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p3_23,negated_conjecture, % 0.76/0.87 ( p3(f4(X86),f4(X87)) % 0.76/0.87 | ~ p2(X86,X87) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p2_24,negated_conjecture, % 0.76/0.87 ( p2(f9(X56),f9(X57)) % 0.76/0.87 | ~ p2(X56,X57) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p2_25,negated_conjecture, % 0.76/0.87 ( p2(f5(X54),f5(X55)) % 0.76/0.87 | ~ p2(X54,X55) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p10_26,negated_conjecture, % 0.76/0.87 ( p10(X1,X2) % 0.76/0.87 | ~ p10(X0,X1) % 0.76/0.87 | ~ p10(X0,X2) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p7_27,negated_conjecture, % 0.76/0.87 ( p7(X92,X93) % 0.76/0.87 | ~ p7(X91,X92) % 0.76/0.87 | ~ p7(X91,X93) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p6_28,negated_conjecture, % 0.76/0.87 ( p6(X89,X90) % 0.76/0.87 | ~ p6(X88,X89) % 0.76/0.87 | ~ p6(X88,X90) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p3_29,negated_conjecture, % 0.76/0.87 ( p3(X84,X85) % 0.76/0.87 | ~ p3(X83,X84) % 0.76/0.87 | ~ p3(X83,X85) ) ). % 0.76/0.87 % 0.76/0.87 cnf(p2_30,negated_conjecture, % 0.76/0.87 ( p2(X36,X37) % 0.76/0.87 | ~ p2(X35,X36) % 0.76/0.87 | ~ p2(X35,X37) ) ). % 0.76/0.87 % 0.76/0.88 cnf(p19_31,negated_conjecture, % 0.76/0.88 ( p19(X29,X30) % 0.76/0.88 | ~ p19(X28,X29) % 0.76/0.88 | ~ p19(X28,X30) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p18_32,negated_conjecture, % 0.76/0.88 ( p18(X26,X27) % 0.76/0.88 | ~ p18(X25,X26) % 0.76/0.88 | ~ p18(X25,X27) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p14_33,negated_conjecture, % 0.76/0.88 ( p14(X19,X20) % 0.76/0.88 | ~ p14(X18,X19) % 0.76/0.88 | ~ p14(X18,X20) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p12_34,negated_conjecture, % 0.76/0.88 ( p12(X12,X13) % 0.76/0.88 | ~ p12(X11,X12) % 0.76/0.88 | ~ p12(X11,X13) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p27_35,negated_conjecture, % 0.76/0.88 ( p27(X79,X80) % 0.76/0.88 | ~ p2(X82,X80) % 0.76/0.88 | ~ p27(X81,X82) % 0.76/0.88 | ~ p2(X81,X79) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p24_36,negated_conjecture, % 0.76/0.88 ( p24(X67,X68) % 0.76/0.88 | ~ p14(X70,X67) % 0.76/0.88 | ~ p24(X70,X69) % 0.76/0.88 | ~ p12(X69,X68) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p25_37,negated_conjecture, % 0.76/0.88 ( p25(X71,X72) % 0.76/0.88 | ~ p2(X74,X72) % 0.76/0.88 | ~ p25(X73,X74) % 0.76/0.88 | ~ p2(X73,X71) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p26_38,negated_conjecture, % 0.76/0.88 ( p26(X75,X76) % 0.76/0.88 | ~ p19(X78,X75) % 0.76/0.88 | ~ p26(X78,X77) % 0.76/0.88 | ~ p10(X77,X76) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p2_39,negated_conjecture, % 0.76/0.88 p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))) ). % 0.76/0.88 % 0.76/0.88 cnf(p2_40,negated_conjecture, % 0.76/0.88 p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))) ). % 0.76/0.88 % 0.76/0.88 cnf(p27_41,negated_conjecture, % 0.76/0.88 p27(f11(f4(c33),c35),f11(f4(f21(c33,f9(f17(c31)))),c35)) ). % 0.76/0.88 % 0.76/0.88 cnf(p25_42,negated_conjecture, % 0.76/0.88 p25(f11(f4(c36),c37),f11(f4(f21(c36,f9(f17(c31)))),c37)) ). % 0.76/0.88 % 0.76/0.88 cnf(not_p2_43,negated_conjecture, % 0.76/0.88 ~ p2(f11(f4(f21(c32,f9(f17(c31)))),c34),f11(f4(c32),c34)) ). % 0.76/0.88 % 0.76/0.88 cnf(p2_44,negated_conjecture, % 0.76/0.88 ( p2(f21(X50,X51),f21(X52,X53)) % 0.76/0.88 | ~ p2(X50,X52) % 0.76/0.88 | ~ p2(X51,X53) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p12_45,negated_conjecture, % 0.76/0.88 ( p12(f13(X14,X15),f13(X16,X17)) % 0.76/0.88 | ~ p10(X14,X16) % 0.76/0.88 | ~ p2(X15,X17) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p14_46,negated_conjecture, % 0.76/0.88 ( p14(f15(X21,X22),f15(X23,X24)) % 0.76/0.88 | ~ p12(X22,X24) % 0.76/0.88 | ~ p7(X21,X23) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p19_47,negated_conjecture, % 0.76/0.88 ( p19(f20(X31,X32),f20(X33,X34)) % 0.76/0.88 | ~ p10(X32,X34) % 0.76/0.88 | ~ p18(X31,X33) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p2_48,negated_conjecture, % 0.76/0.88 ( p2(f11(X38,X39),f11(X40,X41)) % 0.76/0.88 | ~ p10(X39,X41) % 0.76/0.88 | ~ p3(X38,X40) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p2_49,negated_conjecture, % 0.76/0.88 ( p2(f16(X44,X45),f16(X46,X47)) % 0.76/0.88 | ~ p2(X44,X46) % 0.76/0.88 | ~ p2(X45,X47) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p2_50,negated_conjecture, % 0.76/0.88 ( p2(f11(f4(X42),c34),f11(f4(c32),c34)) % 0.76/0.88 | ~ p25(X42,c33) % 0.76/0.88 | ~ p25(c32,X42) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p2_51,negated_conjecture, % 0.76/0.88 ( p2(f11(f4(X43),c34),f11(f4(c32),c34)) % 0.76/0.88 | ~ p25(X43,c36) % 0.76/0.88 | ~ p25(c32,X43) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p10_52,negated_conjecture, % 0.76/0.88 ( p10(X7,X8) % 0.76/0.88 | p26(f20(c28,X7),X8) % 0.76/0.88 | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p23_53,negated_conjecture, % 0.76/0.88 ( p23(X60,X61,X62) % 0.76/0.88 | ~ p3(X65,X62) % 0.76/0.88 | ~ p3(X64,X61) % 0.76/0.88 | ~ p18(X63,X60) % 0.76/0.88 | ~ p23(X63,X64,X65) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p10_54,negated_conjecture, % 0.76/0.88 ( p10(X3,X4) % 0.76/0.88 | ~ p2(f11(f4(X5),X3),f9(c31)) % 0.76/0.88 | ~ p24(f15(c30,f13(X3,X5)),f13(X4,X6)) ) ). % 0.76/0.88 % 0.76/0.88 cnf(p26_55,negated_conjecture, % 0.76/0.88 ( p26(f20(c28,X7),X8) % 0.76/0.88 | p25(f11(f4(X9),X8),f11(f4(X10),X8)) % 0.76/0.88 | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ). % 0.76/0.88 % 0.76/0.88 %-------------------------------------------------------------------------- % 0.76/0.88 %------------------------------------------- % 0.76/0.88 % Proof found % 0.76/0.88 % SZS status Theorem for theBenchmark % 0.76/0.88 % SZS output start Proof % 0.76/0.88 %ClaNum:55(EqnAxiom:0) % 0.76/0.88 %VarNum:224(SingletonVarNum:110) % 0.76/0.88 %MaxLitNum:5 % 0.76/0.88 %MaxfuncDepth:5 % 0.76/0.88 %SharedTerms:47 % 0.76/0.88 %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 55 % 0.76/0.88 %singleGoalClaCount:24 % 0.76/0.88 [1]P1(a1) % 0.76/0.88 [2]P2(a2,a3) % 0.76/0.88 [3]P8(a4,a9) % 0.76/0.88 [4]P8(a5,a4) % 0.76/0.88 [5]P8(a5,a9) % 0.76/0.88 [15]P3(a5,f11(a6)) % 0.76/0.88 [16]P11(f12(a7),a8) % 0.76/0.88 [17]P14(f13(a1,a10),a3) % 0.76/0.88 [19]P3(f14(f20(a5),a3),f16(f14(f20(a4),a3),f11(f15(a6)))) % 0.76/0.88 [20]P3(f14(f20(a5),a3),f16(f14(f20(a9),a3),f11(f15(a6)))) % 0.76/0.88 [21]P8(f14(f20(a9),a2),f14(f20(f21(a9,f11(f15(a6)))),a2)) % 0.76/0.88 [22]P15(f14(f20(a4),a10),f14(f20(f21(a4,f11(f15(a6)))),a10)) % 0.76/0.88 [24]~P3(f14(f20(f21(a5,f11(f15(a6)))),a3),f14(f20(a5),a3)) % 0.76/0.88 [6]P2(x61,x61) % 0.76/0.88 [7]P11(x71,x71) % 0.76/0.88 [8]P12(x81,x81) % 0.76/0.88 [9]P13(x91,x91) % 0.76/0.88 [10]P3(x101,x101) % 0.76/0.88 [11]P4(x111,x111) % 0.76/0.88 [12]P5(x121,x121) % 0.76/0.88 [13]P6(x131,x131) % 0.76/0.88 [14]P7(x141,x141) % 0.76/0.88 [18]P9(a1,f20(f19(x181)),f20(x181)) % 0.76/0.88 [23]~P3(x231,f16(x231,f11(f15(a6)))) % 0.76/0.88 [26]~P12(x261,x262)+P11(f12(x261),f12(x262)) % 0.76/0.88 [27]~P3(x271,x272)+P13(f20(x271),f20(x272)) % 0.76/0.88 [28]~P3(x281,x282)+P3(f11(x281),f11(x282)) % 0.76/0.88 [29]~P3(x291,x292)+P3(f19(x291),f19(x292)) % 0.76/0.88 [30]~P3(x301,x302)+P3(f15(x301),f15(x302)) % 0.76/0.88 [50]~P8(x501,a4)+~P8(a5,x501)+P3(f14(f20(x501),a3),f14(f20(a5),a3)) % 0.76/0.88 [51]~P8(x511,a9)+~P8(a5,x511)+P3(f14(f20(x511),a3),f14(f20(a5),a3)) % 0.76/0.88 [25]~P5(x252,x251)+P1(x251)+~P1(x252) % 0.76/0.88 [31]~P2(x313,x311)+P2(x311,x312)+~P2(x313,x312) % 0.76/0.88 [32]~P11(x323,x321)+P11(x321,x322)+~P11(x323,x322) % 0.76/0.88 [33]~P12(x333,x331)+P12(x331,x332)+~P12(x333,x332) % 0.76/0.88 [34]~P13(x343,x341)+P13(x341,x342)+~P13(x343,x342) % 0.76/0.88 [35]~P3(x353,x351)+P3(x351,x352)+~P3(x353,x352) % 0.76/0.88 [36]~P4(x363,x361)+P4(x361,x362)+~P4(x363,x362) % 0.76/0.88 [37]~P5(x373,x371)+P5(x371,x372)+~P5(x373,x372) % 0.76/0.88 [38]~P6(x383,x381)+P6(x381,x382)+~P6(x383,x382) % 0.76/0.88 [39]~P7(x393,x391)+P7(x391,x392)+~P7(x393,x392) % 0.76/0.88 [44]~P3(x442,x444)+~P3(x441,x443)+P3(f16(x441,x442),f16(x443,x444)) % 0.76/0.88 [45]~P2(x452,x454)+~P13(x451,x453)+P3(f14(x451,x452),f14(x453,x454)) % 0.76/0.88 [46]~P3(x462,x464)+~P3(x461,x463)+P3(f21(x461,x462),f21(x463,x464)) % 0.76/0.88 [47]~P2(x472,x474)+~P5(x471,x473)+P4(f13(x471,x472),f13(x473,x474)) % 0.76/0.88 [48]~P11(x481,x483)+~P7(x482,x484)+P6(f17(x481,x482),f17(x483,x484)) % 0.76/0.88 [49]~P2(x491,x493)+~P3(x492,x494)+P7(f18(x491,x492),f18(x493,x494)) % 0.76/0.88 [53]P2(x531,x532)+P14(f13(a1,x531),x532)+~P10(f17(a8,f18(x531,x533)),f18(x532,x534)) % 0.76/0.88 [54]P2(x541,x542)+~P10(f17(a8,f18(x541,x543)),f18(x542,x544))+~P3(f14(f20(x543),x541),f11(a6)) % 0.76/0.88 [55]P14(f13(a1,x551),x552)+P8(f14(f20(x553),x552),f14(f20(x554),x552))+~P10(f17(a8,f18(x551,x553)),f18(x552,x554)) % 0.76/0.88 [40]~P8(x403,x404)+P8(x401,x402)+~P3(x403,x401)+~P3(x404,x402) % 0.76/0.88 [41]~P14(x414,x413)+P14(x411,x412)+~P2(x413,x412)+~P4(x414,x411) % 0.76/0.88 [42]~P15(x423,x424)+P15(x421,x422)+~P3(x423,x421)+~P3(x424,x422) % 0.76/0.88 [43]~P10(x433,x434)+P10(x431,x432)+~P6(x433,x431)+~P7(x434,x432) % 0.76/0.88 [52]~P9(x526,x524,x525)+P9(x521,x522,x523)+~P13(x524,x522)+~P13(x525,x523)+~P5(x526,x521) % 0.76/0.88 %EqnAxiom % 0.76/0.88 % 0.76/0.88 %------------------------------------------- % 0.76/0.88 cnf(353,plain, % 0.76/0.88 (~P3(f14(f20(a5),a3),f14(f20(a4),a3))), % 0.76/0.88 inference(scs_inference,[],[19,23,35])). % 0.76/0.88 cnf(365,plain, % 0.76/0.88 ($false), % 0.76/0.88 inference(scs_inference,[],[353,10,3,4,35,51]), % 0.76/0.88 ['proof']). % 0.76/0.88 % SZS output end Proof % 0.76/0.88 % Total time :0.380000s %------------------------------------------------------------------------------