%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN654-1 : 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 : 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 19:06:13 EDT 2024 % Result : Unsatisfiable 58.48s 58.61s % Output : CNFRefutation 58.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYN654-1 : TPTP v8.2.0. Released v2.5.0. % 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.09/0.29 % Computer : n032.cluster.edu % 0.09/0.29 % Model : x86_64 x86_64 % 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.29 % Memory : 8042.1875MB % 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.29 % CPULimit : 300 % 0.09/0.29 % WCLimit : 300 % 0.09/0.29 % DateTime : Mon Jun 24 00:00:53 EDT 2024 % 0.09/0.29 % CPUTime : % 0.14/0.46 start to proof:theBenchmark % 58.48/58.59 %------------------------------------------- % 58.48/58.59 % File :CSE---1.7 % 58.48/58.59 % Problem :theBenchmark % 58.48/58.59 % Transform :cnf % 58.48/58.59 % Format :tptp:raw % 58.48/58.59 % Command :java -jar mcs_scs.jar %d %s % 58.48/58.59 % 58.48/58.59 % Result :Theorem 58.060000s % 58.48/58.59 % Output :CNFRefutation 58.060000s % 58.48/58.59 %------------------------------------------- % 58.48/58.60 %-------------------------------------------------------------------------- % 58.48/58.60 % File : SYN654-1 : TPTP v8.2.0. Released v2.5.0. % 58.48/58.60 % Domain : Syntactic % 58.48/58.60 % Problem : Harrison problem 4459 % 58.48/58.60 % Version : Especial. % 58.48/58.60 % English : % 58.48/58.60 % 58.48/58.60 % Refs : [Har01] Email to G. Sutcliffe % 58.48/58.60 % Source : [Har01] % 58.48/58.60 % Names : % 58.48/58.60 % 58.48/58.60 % Status : Unsatisfiable % 58.48/58.60 % Rating : 0.09 v8.2.0, 0.14 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.29 v6.0.0, 0.33 v5.5.0, 0.31 v5.4.0, 0.33 v5.3.0, 0.35 v5.2.0, 0.46 v5.1.0, 0.38 v5.0.0, 0.40 v4.0.1, 0.57 v3.7.0, 0.43 v3.4.0, 0.20 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0 % 58.48/58.60 % Syntax : Number of clauses : 48 ( 12 unt; 0 nHn; 32 RR) % 58.48/58.60 % Number of literals : 157 ( 0 equ; 111 neg) % 58.48/58.60 % Maximal clause size : 9 ( 3 avg) % 58.48/58.60 % Maximal term depth : 3 ( 1 avg) % 58.48/58.60 % Number of predicates : 10 ( 10 usr; 0 prp; 2-2 aty) % 58.48/58.60 % Number of functors : 22 ( 22 usr; 12 con; 0-8 aty) % 58.48/58.60 % Number of variables : 319 ( 84 sgn) % 58.48/58.60 % SPC : CNF_UNS_RFO_NEQ_HRN % 58.48/58.60 % 58.48/58.60 % Comments : % 58.48/58.60 %-------------------------------------------------------------------------- % 58.48/58.60 cnf(p10_1,negated_conjecture, % 58.48/58.60 p10(X0,X0) ). % 58.48/58.60 % 58.48/58.60 cnf(p9_2,negated_conjecture, % 58.48/58.60 p9(X177,X177) ). % 58.48/58.60 % 58.48/58.60 cnf(p8_3,negated_conjecture, % 58.48/58.61 p8(X158,X158) ). % 58.48/58.61 % 58.48/58.61 cnf(p7_4,negated_conjecture, % 58.48/58.61 p7(X139,X139) ). % 58.48/58.61 % 58.48/58.61 cnf(p6_5,negated_conjecture, % 58.48/58.61 p6(X120,X120) ). % 58.48/58.61 % 58.48/58.61 cnf(p5_6,negated_conjecture, % 58.48/58.61 p5(X101,X101) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_7,negated_conjecture, % 58.48/58.61 p3(X78,X78) ). % 58.48/58.61 % 58.48/58.61 cnf(p2_8,negated_conjecture, % 58.48/58.61 p2(X44,X44) ). % 58.48/58.61 % 58.48/58.61 cnf(p12_9,negated_conjecture, % 58.48/58.61 p12(X31,X31) ). % 58.48/58.61 % 58.48/58.61 cnf(not_p8_10,negated_conjecture, % 58.48/58.61 ~ p8(c22,c23) ). % 58.48/58.61 % 58.48/58.61 cnf(p2_11,negated_conjecture, % 58.48/58.61 ( p2(X47,X48) % 58.48/58.61 | ~ p3(f4(X47),f4(X48)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p21_12,negated_conjecture, % 58.48/58.61 ( p21(f4(X75),X76) % 58.48/58.61 | ~ p3(X76,f4(X77)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_13,negated_conjecture, % 58.48/58.61 ( p3(f4(X47),f4(X48)) % 58.48/58.61 | ~ p2(X47,X48) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p12_14,negated_conjecture, % 58.48/58.61 ( p12(f13(X34),f13(X35)) % 58.48/58.61 | ~ p7(X34,X35) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_15,negated_conjecture, % 58.48/58.61 ( p3(f4(X99),f4(X100)) % 58.48/58.61 | ~ p2(X99,X100) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p10_16,negated_conjecture, % 58.48/58.61 ( p10(X1,X2) % 58.48/58.61 | ~ p10(X0,X1) % 58.48/58.61 | ~ p10(X0,X2) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p9_17,negated_conjecture, % 58.48/58.61 ( p9(X178,X179) % 58.48/58.61 | ~ p9(X177,X178) % 58.48/58.61 | ~ p9(X177,X179) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p8_18,negated_conjecture, % 58.48/58.61 ( p8(X159,X160) % 58.48/58.61 | ~ p8(X158,X159) % 58.48/58.61 | ~ p8(X158,X160) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p7_19,negated_conjecture, % 58.48/58.61 ( p7(X140,X141) % 58.48/58.61 | ~ p7(X139,X140) % 58.48/58.61 | ~ p7(X139,X141) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p6_20,negated_conjecture, % 58.48/58.61 ( p6(X121,X122) % 58.48/58.61 | ~ p6(X120,X121) % 58.48/58.61 | ~ p6(X120,X122) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p5_21,negated_conjecture, % 58.48/58.61 ( p5(X102,X103) % 58.48/58.61 | ~ p5(X101,X102) % 58.48/58.61 | ~ p5(X101,X103) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_22,negated_conjecture, % 58.48/58.61 ( p3(X79,X80) % 58.48/58.61 | ~ p3(X78,X79) % 58.48/58.61 | ~ p3(X78,X80) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p2_23,negated_conjecture, % 58.48/58.61 ( p2(X45,X46) % 58.48/58.61 | ~ p2(X44,X45) % 58.48/58.61 | ~ p2(X44,X46) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p12_24,negated_conjecture, % 58.48/58.61 ( p12(X32,X33) % 58.48/58.61 | ~ p12(X31,X32) % 58.48/58.61 | ~ p12(X31,X33) ) ). % 58.48/58.61 % 58.48/58.61 cnf(not_p3_25,negated_conjecture, % 58.48/58.61 ~ p3(f11(X196,X197,X198,X199,X200,X201),f4(X202)) ). % 58.48/58.61 % 58.48/58.61 cnf(p21_26,negated_conjecture, % 58.48/58.61 ( p21(X65,X66) % 58.48/58.61 | ~ p3(X67,X65) % 58.48/58.61 | ~ p3(X68,X66) % 58.48/58.61 | ~ p21(X67,X68) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p21_27,negated_conjecture, % 58.48/58.61 p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_28,negated_conjecture, % 58.48/58.61 ( p3(X76,f4(f20(X75,X81,X82,X83,X76,X84,X85,X86))) % 58.48/58.61 | ~ p21(f4(X75),X76) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p10_29,negated_conjecture, % 58.48/58.61 ( p10(X3,X4) % 58.48/58.61 | ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p9_30,negated_conjecture, % 58.48/58.61 ( p9(X9,X14) % 58.48/58.61 | ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p8_31,negated_conjecture, % 58.48/58.61 ( p8(X8,X13) % 58.48/58.61 | ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p7_32,negated_conjecture, % 58.48/58.61 ( p7(X7,X12) % 58.48/58.61 | ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p6_33,negated_conjecture, % 58.48/58.61 ( p6(X6,X11) % 58.48/58.61 | ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p5_34,negated_conjecture, % 58.48/58.61 ( p5(X5,X10) % 58.48/58.61 | ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p9_35,negated_conjecture, % 58.48/58.61 ( p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) % 58.48/58.61 | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p8_36,negated_conjecture, % 58.48/58.61 ( p8(X42,f16(X37,X38,X39,X40,X41,X36,X42,X43)) % 58.48/58.61 | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p12_37,negated_conjecture, % 58.48/58.61 ( p12(f13(X36),f13(f17(X37,X38,X39,X40,X41,X36,X42,X43))) % 58.48/58.61 | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p21_38,negated_conjecture, % 58.48/58.61 ( p21(f11(X38,X39,X36,X42,X43,X40),X41) % 58.48/58.61 | ~ p9(X43,X73) % 58.48/58.61 | ~ p8(X42,X72) % 58.48/58.61 | ~ p12(f13(X36),f13(X69)) % 58.48/58.61 | ~ p3(X41,f11(X70,X71,X69,X72,X73,X74)) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_39,negated_conjecture, % 58.48/58.61 ( p3(f11(X87,X88,X89,X90,X91,X92),f11(X93,X94,X95,X96,X97,X98)) % 58.48/58.61 | ~ p8(X90,X96) % 58.48/58.61 | ~ p9(X91,X97) % 58.48/58.61 | ~ p10(X92,X98) % 58.48/58.61 | ~ p5(X87,X93) % 58.48/58.61 | ~ p6(X88,X94) % 58.48/58.61 | ~ p7(X89,X95) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_40,negated_conjecture, % 58.48/58.61 ( p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) % 58.48/58.61 | ~ p8(X8,X13) % 58.48/58.61 | ~ p9(X9,X14) % 58.48/58.61 | ~ p10(X3,X4) % 58.48/58.61 | ~ p5(X5,X10) % 58.48/58.61 | ~ p6(X6,X11) % 58.48/58.61 | ~ p7(X7,X12) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p9_41,negated_conjecture, % 58.48/58.61 ( p9(f15(X180,X181,X182,X183,X184,X185,X186,X187),f15(X188,X189,X190,X191,X192,X193,X194,X195)) % 58.48/58.61 | ~ p8(X186,X194) % 58.48/58.61 | ~ p9(X187,X195) % 58.48/58.61 | ~ p10(X183,X191) % 58.48/58.61 | ~ p2(X180,X188) % 58.48/58.61 | ~ p3(X184,X192) % 58.48/58.61 | ~ p5(X181,X189) % 58.48/58.61 | ~ p6(X182,X190) % 58.48/58.61 | ~ p7(X185,X193) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p10_42,negated_conjecture, % 58.48/58.61 ( p10(f14(X15,X16,X17,X18,X19,X20,X21,X22),f14(X23,X24,X25,X26,X27,X28,X29,X30)) % 58.48/58.61 | ~ p8(X21,X29) % 58.48/58.61 | ~ p9(X22,X30) % 58.48/58.61 | ~ p10(X18,X26) % 58.48/58.61 | ~ p2(X15,X23) % 58.48/58.61 | ~ p3(X19,X27) % 58.48/58.61 | ~ p5(X16,X24) % 58.48/58.61 | ~ p6(X17,X25) % 58.48/58.61 | ~ p7(X20,X28) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p2_43,negated_conjecture, % 58.48/58.61 ( p2(f20(X49,X50,X51,X52,X53,X54,X55,X56),f20(X57,X58,X59,X60,X61,X62,X63,X64)) % 58.48/58.61 | ~ p8(X55,X63) % 58.48/58.61 | ~ p9(X56,X64) % 58.48/58.61 | ~ p10(X52,X60) % 58.48/58.61 | ~ p2(X49,X57) % 58.48/58.61 | ~ p3(X53,X61) % 58.48/58.61 | ~ p5(X50,X58) % 58.48/58.61 | ~ p6(X51,X59) % 58.48/58.61 | ~ p7(X54,X62) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p5_44,negated_conjecture, % 58.48/58.61 ( p5(f19(X104,X105,X106,X107,X108,X109,X110,X111),f19(X112,X113,X114,X115,X116,X117,X118,X119)) % 58.48/58.61 | ~ p8(X110,X118) % 58.48/58.61 | ~ p9(X111,X119) % 58.48/58.61 | ~ p10(X107,X115) % 58.48/58.61 | ~ p2(X104,X112) % 58.48/58.61 | ~ p3(X108,X116) % 58.48/58.61 | ~ p5(X105,X113) % 58.48/58.61 | ~ p6(X106,X114) % 58.48/58.61 | ~ p7(X109,X117) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p6_45,negated_conjecture, % 58.48/58.61 ( p6(f18(X123,X124,X125,X126,X127,X128,X129,X130),f18(X131,X132,X133,X134,X135,X136,X137,X138)) % 58.48/58.61 | ~ p8(X129,X137) % 58.48/58.61 | ~ p9(X130,X138) % 58.48/58.61 | ~ p10(X126,X134) % 58.48/58.61 | ~ p2(X123,X131) % 58.48/58.61 | ~ p3(X127,X135) % 58.48/58.61 | ~ p5(X124,X132) % 58.48/58.61 | ~ p6(X125,X133) % 58.48/58.61 | ~ p7(X128,X136) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p7_46,negated_conjecture, % 58.48/58.61 ( p7(f17(X142,X143,X144,X145,X146,X147,X148,X149),f17(X150,X151,X152,X153,X154,X155,X156,X157)) % 58.48/58.61 | ~ p8(X148,X156) % 58.48/58.61 | ~ p9(X149,X157) % 58.48/58.61 | ~ p10(X145,X153) % 58.48/58.61 | ~ p2(X142,X150) % 58.48/58.61 | ~ p3(X146,X154) % 58.48/58.61 | ~ p5(X143,X151) % 58.48/58.61 | ~ p6(X144,X152) % 58.48/58.61 | ~ p7(X147,X155) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p8_47,negated_conjecture, % 58.48/58.61 ( p8(f16(X161,X162,X163,X164,X165,X166,X167,X168),f16(X169,X170,X171,X172,X173,X174,X175,X176)) % 58.48/58.61 | ~ p8(X167,X175) % 58.48/58.61 | ~ p9(X168,X176) % 58.48/58.61 | ~ p10(X164,X172) % 58.48/58.61 | ~ p2(X161,X169) % 58.48/58.61 | ~ p3(X165,X173) % 58.48/58.61 | ~ p5(X162,X170) % 58.48/58.61 | ~ p6(X163,X171) % 58.48/58.61 | ~ p7(X166,X174) ) ). % 58.48/58.61 % 58.48/58.61 cnf(p3_48,negated_conjecture, % 58.48/58.61 ( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) % 58.48/58.61 | ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ) ). % 58.48/58.61 % 58.48/58.61 %-------------------------------------------------------------------------- % 58.48/58.61 %------------------------------------------- % 58.48/58.61 % Proof found % 58.48/58.61 % SZS status Theorem for theBenchmark % 58.48/58.61 % SZS output start Proof % 58.48/58.61 %ClaNum:48(EqnAxiom:0) % 58.48/58.61 %VarNum:570(SingletonVarNum:305) % 58.48/58.61 %MaxLitNum:9 % 58.48/58.61 %MaxfuncDepth:2 % 58.48/58.61 %SharedTerms:16 % 58.48/58.61 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 % 58.48/58.61 %singleGoalClaCount:12 % 58.48/58.61 [11]~P3(a2,a3) % 58.48/58.61 [10]P10(f8(a1,a4,a5,a2,a6,a7),f8(a9,a10,a11,a3,a12,a13)) % 58.48/58.61 [1]P1(x11,x11) % 58.48/58.61 [2]P2(x21,x21) % 58.48/58.61 [3]P3(x31,x31) % 58.48/58.61 [4]P4(x41,x41) % 58.48/58.61 [5]P5(x51,x51) % 58.48/58.61 [6]P6(x61,x61) % 58.48/58.61 [7]P7(x71,x71) % 58.48/58.61 [8]P8(x81,x81) % 58.48/58.61 [9]P9(x91,x91) % 58.48/58.61 [12]~P7(f8(x121,x122,x123,x124,x125,x126),f14(x127)) % 58.48/58.61 [14]~P8(x141,x142)+P7(f14(x141),f14(x142)) % 58.48/58.61 [15]~P4(x151,x152)+P9(f15(x151),f15(x152)) % 58.48/58.61 [17]P8(x171,x172)+~P7(f14(x171),f14(x172)) % 58.48/58.61 [16]P10(f14(x161),x162)+~P7(x162,f14(x163)) % 58.48/58.61 [37]~P10(f8(x373,x374,x377,x378,x371,x375),x376)+P2(x371,f16(x372,x373,x374,x375,x376,x377,x378,x371)) % 58.48/58.61 [38]~P10(f8(x383,x384,x387,x381,x388,x385),x386)+P3(x381,f18(x382,x383,x384,x385,x386,x387,x381,x388)) % 58.48/58.61 [39]~P10(f14(x392),x391)+P7(x391,f14(f19(x392,x393,x394,x395,x391,x396,x397,x398))) % 58.48/58.61 [47]~P10(f8(x473,x474,x471,x477,x478,x475),x476)+P9(f15(x471),f15(f20(x472,x473,x474,x475,x476,x471,x477,x478))) % 58.48/58.61 [48]~P10(f8(x483,x484,x486,x487,x488,x485),x481)+P7(x481,f8(f22(x482,x483,x484,x485,x481,x486,x487,x488),f21(x482,x483,x484,x485,x481,x486,x487,x488),f20(x482,x483,x484,x485,x481,x486,x487,x488),f18(x482,x483,x484,x485,x481,x486,x487,x488),f16(x482,x483,x484,x485,x481,x486,x487,x488),f17(x482,x483,x484,x485,x481,x486,x487,x488))) % 58.48/58.61 [31]P1(x311,x312)+~P7(f8(x313,x314,x315,x316,x317,x311),f8(x318,x319,x3110,x3111,x3112,x312)) % 58.48/58.61 [32]P2(x321,x322)+~P7(f8(x323,x324,x325,x326,x321,x327),f8(x328,x329,x3210,x3211,x322,x3212)) % 58.48/58.61 [33]P3(x331,x332)+~P7(f8(x333,x334,x335,x331,x336,x337),f8(x338,x339,x3310,x332,x3311,x3312)) % 58.48/58.61 [34]P4(x341,x342)+~P7(f8(x343,x344,x341,x345,x346,x347),f8(x348,x349,x342,x3410,x3411,x3412)) % 58.48/58.61 [35]P5(x351,x352)+~P7(f8(x353,x351,x354,x355,x356,x357),f8(x358,x352,x359,x3510,x3511,x3512)) % 58.48/58.61 [36]P6(x361,x362)+~P7(f8(x361,x363,x364,x365,x366,x367),f8(x362,x368,x369,x3610,x3611,x3612)) % 58.48/58.61 [18]~P1(x183,x181)+P1(x181,x182)+~P1(x183,x182) % 58.48/58.61 [19]~P2(x193,x191)+P2(x191,x192)+~P2(x193,x192) % 58.48/58.61 [20]~P3(x203,x201)+P3(x201,x202)+~P3(x203,x202) % 58.48/58.61 [21]~P4(x213,x211)+P4(x211,x212)+~P4(x213,x212) % 58.48/58.61 [22]~P5(x223,x221)+P5(x221,x222)+~P5(x223,x222) % 58.48/58.61 [23]~P6(x233,x231)+P6(x231,x232)+~P6(x233,x232) % 58.48/58.61 [24]~P7(x243,x241)+P7(x241,x242)+~P7(x243,x242) % 58.48/58.61 [25]~P8(x253,x251)+P8(x251,x252)+~P8(x253,x252) % 58.48/58.61 [26]~P9(x263,x261)+P9(x261,x262)+~P9(x263,x262) % 58.48/58.61 [27]~P10(x274,x273)+P10(x271,x272)+~P7(x273,x272)+~P7(x274,x271) % 58.48/58.61 [30]~P2(x305,x308)+~P3(x304,x309)+P10(f8(x301,x302,x303,x304,x305,x306),x307)+~P7(x307,f8(x3011,x3012,x3010,x309,x308,x3013))+~P9(f15(x303),f15(x3010)) % 58.48/58.61 [29]~P1(x296,x2912)+~P2(x295,x2911)+~P3(x294,x2910)+~P4(x293,x299)+~P5(x292,x298)+~P6(x291,x297)+P7(f8(x291,x292,x293,x294,x295,x296),f8(x297,x298,x299,x2910,x2911,x2912)) % 58.48/58.61 [40]~P1(x404,x4012)+~P2(x408,x4016)+~P3(x407,x4015)+~P4(x406,x4014)+~P5(x403,x4011)+~P6(x402,x4010)+~P7(x405,x4013)+~P8(x401,x409)+P1(f17(x401,x402,x403,x404,x405,x406,x407,x408),f17(x409,x4010,x4011,x4012,x4013,x4014,x4015,x4016)) % 58.48/58.61 [41]~P1(x414,x4112)+~P2(x418,x4116)+~P3(x417,x4115)+~P4(x416,x4114)+~P5(x413,x4111)+~P6(x412,x4110)+~P7(x415,x4113)+~P8(x411,x419)+P2(f16(x411,x412,x413,x414,x415,x416,x417,x418),f16(x419,x4110,x4111,x4112,x4113,x4114,x4115,x4116)) % 58.48/58.61 [42]~P1(x424,x4212)+~P2(x428,x4216)+~P3(x427,x4215)+~P4(x426,x4214)+~P5(x423,x4211)+~P6(x422,x4210)+~P7(x425,x4213)+~P8(x421,x429)+P3(f18(x421,x422,x423,x424,x425,x426,x427,x428),f18(x429,x4210,x4211,x4212,x4213,x4214,x4215,x4216)) % 58.48/58.61 [43]~P1(x434,x4312)+~P2(x438,x4316)+~P3(x437,x4315)+~P4(x436,x4314)+~P5(x433,x4311)+~P6(x432,x4310)+~P7(x435,x4313)+~P8(x431,x439)+P4(f20(x431,x432,x433,x434,x435,x436,x437,x438),f20(x439,x4310,x4311,x4312,x4313,x4314,x4315,x4316)) % 58.48/58.61 [44]~P1(x444,x4412)+~P2(x448,x4416)+~P3(x447,x4415)+~P4(x446,x4414)+~P5(x443,x4411)+~P6(x442,x4410)+~P7(x445,x4413)+~P8(x441,x449)+P5(f21(x441,x442,x443,x444,x445,x446,x447,x448),f21(x449,x4410,x4411,x4412,x4413,x4414,x4415,x4416)) % 58.48/58.61 [45]~P1(x454,x4512)+~P2(x458,x4516)+~P3(x457,x4515)+~P4(x456,x4514)+~P5(x453,x4511)+~P6(x452,x4510)+~P7(x455,x4513)+~P8(x451,x459)+P6(f22(x451,x452,x453,x454,x455,x456,x457,x458),f22(x459,x4510,x4511,x4512,x4513,x4514,x4515,x4516)) % 58.48/58.61 [46]~P1(x464,x4612)+~P2(x468,x4616)+~P3(x467,x4615)+~P4(x466,x4614)+~P5(x463,x4611)+~P6(x462,x4610)+~P7(x465,x4613)+~P8(x461,x469)+P8(f19(x461,x462,x463,x464,x465,x466,x467,x468),f19(x469,x4610,x4611,x4612,x4613,x4614,x4615,x4616)) % 58.48/58.61 %EqnAxiom % 58.48/58.61 % 58.48/58.61 %------------------------------------------- % 58.48/58.63 cnf(52,plain, % 58.48/58.63 (P10(f8(x521,x522,x523,x524,x525,x526),f8(x527,x528,x523,x524,x525,x529))), % 58.48/58.63 inference(scs_inference,[],[2,3,7,9,12,39,30])). % 58.48/58.63 cnf(74,plain, % 58.48/58.63 (P3(f18(x741,x742,x743,x744,f8(x745,x746,x747,x748,x749,x7410),x747,x748,x749),x748)), % 58.48/58.63 inference(scs_inference,[],[52,3,38,20])). % 58.48/58.63 cnf(75,plain, % 58.48/58.63 (P3(x751,f18(x752,x753,x754,x755,f8(x756,x757,x758,x751,x759,x7510),x758,x751,x759))), % 58.48/58.63 inference(scs_inference,[],[74,3,20])). % 58.48/58.63 cnf(292,plain, % 58.48/58.64 (P3(a3,f18(x2921,a1,a4,a7,f8(a9,a10,a11,a3,a12,a13),a5,a2,a6))), % 58.48/58.64 inference(scs_inference,[],[10,33,48])). % 58.48/58.64 cnf(293,plain, % 58.48/58.64 (P3(f18(x2931,a1,a4,a7,f8(a9,a10,a11,a3,a12,a13),a5,a2,a6),f18(x2932,x2933,x2934,x2935,f8(x2936,x2937,x2938,a3,x2939,x29310),x2938,a3,x2939))), % 58.48/58.64 inference(scs_inference,[],[292,75,20])). % 58.48/58.64 cnf(296,plain, % 58.48/58.64 (P3(f18(x2961,x2962,x2963,x2964,f8(x2965,x2966,x2967,a3,x2968,x2969),x2967,a3,x2968),f18(x29610,a1,a4,a7,f8(a9,a10,a11,a3,a12,a13),a5,a2,a6))), % 58.48/58.64 inference(scs_inference,[],[7,293,33,20])). % 58.48/58.64 cnf(297,plain, % 58.48/58.64 (P3(f18(x2971,a1,a4,a7,f8(a9,a10,a11,a3,a12,a13),a5,a2,a6),a3)), % 58.48/58.64 inference(scs_inference,[],[296,74,20])). % 58.48/58.64 cnf(3682,plain, % 58.48/58.64 (P3(a2,f18(x36821,a1,a4,a7,f8(a9,a10,a11,a3,a12,a13),a5,a2,a6))), % 58.48/58.64 inference(scs_inference,[],[10,37,38])). % 58.48/58.64 cnf(3684,plain, % 58.48/58.64 (~P3(f18(x36841,a1,a4,a7,f8(a9,a10,a11,a3,a12,a13),a5,a2,a6),a2)), % 58.48/58.64 inference(scs_inference,[],[11,10,297,37,38,20])). % 58.48/58.64 cnf(3687,plain, % 58.48/58.64 ($false), % 58.48/58.64 inference(scs_inference,[],[3684,3682,3,20]), % 58.48/58.64 ['proof']). % 58.48/58.64 % SZS output end Proof % 58.48/58.64 % Total time :58.060000s %------------------------------------------------------------------------------