%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN650-1 : 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 : n029.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 19:06:12 EDT 2024 % Result : Unsatisfiable 15.90s 16.08s % Output : CNFRefutation 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN650-1 : 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 % 0.12/0.32 % Computer : n029.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Sun Jun 23 22:48:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.18/0.55 start to proof:theBenchmark % 15.90/16.07 %------------------------------------------- % 15.90/16.07 % File :CSE---1.7 % 15.90/16.07 % Problem :theBenchmark % 15.90/16.07 % Transform :cnf % 15.90/16.07 % Format :tptp:raw % 15.90/16.07 % Command :java -jar mcs_scs.jar %d %s % 15.90/16.07 % 15.90/16.07 % Result :Theorem 15.470000s % 15.90/16.07 % Output :CNFRefutation 15.470000s % 15.90/16.07 %------------------------------------------- % 15.90/16.08 %-------------------------------------------------------------------------- % 15.90/16.08 % File : SYN650-1 : TPTP v8.2.0. Released v2.5.0. % 15.90/16.08 % Domain : Syntactic % 15.90/16.08 % Problem : Harrison problem 4422 % 15.90/16.08 % Version : Especial. % 15.90/16.08 % English : % 15.90/16.08 % 15.90/16.08 % Refs : [Har01] Email to G. Sutcliffe % 15.90/16.08 % Source : [Har01] % 15.90/16.08 % Names : % 15.90/16.08 % 15.90/16.08 % Status : Unsatisfiable % 15.90/16.08 % Rating : 0.08 v8.2.0, 0.14 v7.5.0, 0.17 v7.1.0, 0.50 v6.4.0, 0.38 v6.3.0, 0.14 v6.2.0, 0.22 v6.1.0, 0.29 v5.5.0, 0.38 v5.4.0, 0.50 v5.2.0, 0.40 v5.1.0, 0.36 v5.0.0, 0.43 v4.1.0, 0.38 v4.0.1, 0.20 v4.0.0, 0.43 v3.4.0, 0.75 v3.3.0, 0.67 v3.2.0, 0.33 v3.1.0, 0.67 v2.7.0, 0.25 v2.6.0, 0.33 v2.5.0 % 15.90/16.08 % Syntax : Number of clauses : 45 ( 14 unt; 3 nHn; 34 RR) % 15.90/16.08 % Number of literals : 114 ( 0 equ; 68 neg) % 15.90/16.08 % Maximal clause size : 6 ( 2 avg) % 15.90/16.08 % Maximal term depth : 6 ( 2 avg) % 15.90/16.08 % Number of predicates : 10 ( 10 usr; 0 prp; 1-2 aty) % 15.90/16.08 % Number of functors : 22 ( 22 usr; 8 con; 0-5 aty) % 15.90/16.08 % Number of variables : 123 ( 1 sgn) % 15.90/16.08 % SPC : CNF_UNS_RFO_NEQ_NHN % 15.90/16.08 % 15.90/16.08 % Comments : % 15.90/16.08 %-------------------------------------------------------------------------- % 15.90/16.08 cnf(p10_1,negated_conjecture, % 15.90/16.08 p10(X0,X0) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_2,negated_conjecture, % 15.90/16.08 p8(X54,X54) ). % 15.90/16.08 % 15.90/16.08 cnf(p7_3,negated_conjecture, % 15.90/16.08 p7(X51,X51) ). % 15.90/16.08 % 15.90/16.08 cnf(p6_4,negated_conjecture, % 15.90/16.08 p6(X44,X44) ). % 15.90/16.08 % 15.90/16.08 cnf(p2_5,negated_conjecture, % 15.90/16.08 p2(X12,X12) ). % 15.90/16.08 % 15.90/16.08 cnf(p19_6,negated_conjecture, % 15.90/16.08 p19(X7,X7) ). % 15.90/16.08 % 15.90/16.08 cnf(not_p2_7,negated_conjecture, % 15.90/16.08 ~ p2(c27,f3(c26)) ). % 15.90/16.08 % 15.90/16.08 cnf(p22_8,negated_conjecture, % 15.90/16.08 p22(f3(f4(f5(c26))),c27) ). % 15.90/16.08 % 15.90/16.08 cnf(p23_9,negated_conjecture, % 15.90/16.08 ( p23(X29) % 15.90/16.08 | ~ p23(X30) % 15.90/16.08 | ~ p2(X30,X29) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p24_10,negated_conjecture, % 15.90/16.08 p24(c33,f20(f11(c29,f12(c27,c30)))) ). % 15.90/16.08 % 15.90/16.08 cnf(p19_11,negated_conjecture, % 15.90/16.08 ( p19(f20(X10),f20(X11)) % 15.90/16.08 | ~ p6(X10,X11) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_12,negated_conjecture, % 15.90/16.08 ( p8(f16(X67),f16(X68)) % 15.90/16.08 | ~ p8(X67,X68) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_13,negated_conjecture, % 15.90/16.08 ( p8(f14(X61),f14(X62)) % 15.90/16.08 | ~ p2(X61,X62) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p2_14,negated_conjecture, % 15.90/16.08 ( p2(f5(X23),f5(X24)) % 15.90/16.08 | ~ p2(X23,X24) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p2_15,negated_conjecture, % 15.90/16.08 ( p2(f4(X21),f4(X22)) % 15.90/16.08 | ~ p2(X21,X22) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p2_16,negated_conjecture, % 15.90/16.08 ( p2(f3(X19),f3(X20)) % 15.90/16.08 | ~ p2(X19,X20) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p10_17,negated_conjecture, % 15.90/16.08 ( p10(X1,X2) % 15.90/16.08 | ~ p10(X0,X1) % 15.90/16.08 | ~ p10(X0,X2) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_18,negated_conjecture, % 15.90/16.08 ( p8(X55,X56) % 15.90/16.08 | ~ p8(X54,X55) % 15.90/16.08 | ~ p8(X54,X56) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p7_19,negated_conjecture, % 15.90/16.08 ( p7(X52,X53) % 15.90/16.08 | ~ p7(X51,X52) % 15.90/16.08 | ~ p7(X51,X53) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p6_20,negated_conjecture, % 15.90/16.08 ( p6(X45,X46) % 15.90/16.08 | ~ p6(X44,X45) % 15.90/16.08 | ~ p6(X44,X46) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p2_21,negated_conjecture, % 15.90/16.08 ( p2(X13,X14) % 15.90/16.08 | ~ p2(X12,X13) % 15.90/16.08 | ~ p2(X12,X14) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p19_22,negated_conjecture, % 15.90/16.08 ( p19(X8,X9) % 15.90/16.08 | ~ p19(X7,X8) % 15.90/16.08 | ~ p19(X7,X9) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_23,negated_conjecture, % 15.90/16.08 p8(c28,f9(f11(c29,f12(c27,c30)),c31,c32)) ). % 15.90/16.08 % 15.90/16.08 cnf(not_p8_24,negated_conjecture, % 15.90/16.08 ~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)) ). % 15.90/16.08 % 15.90/16.08 cnf(p25_25,negated_conjecture, % 15.90/16.08 ( p25(X40,X41) % 15.90/16.08 | ~ p8(X42,X40) % 15.90/16.08 | ~ p8(X43,X41) % 15.90/16.08 | ~ p25(X42,X43) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p22_26,negated_conjecture, % 15.90/16.08 ( p22(X25,X26) % 15.90/16.08 | ~ p2(X28,X26) % 15.90/16.08 | ~ p22(X27,X28) % 15.90/16.08 | ~ p2(X27,X25) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p24_27,negated_conjecture, % 15.90/16.08 ( p24(X36,X37) % 15.90/16.08 | ~ p24(X39,X38) % 15.90/16.08 | ~ p8(X39,X36) % 15.90/16.08 | ~ p19(X38,X37) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p10_28,negated_conjecture, % 15.90/16.08 ( p10(f12(X3,X4),f12(X5,X6)) % 15.90/16.08 | ~ p2(X3,X5) % 15.90/16.08 | ~ p2(X4,X6) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_29,negated_conjecture, % 15.90/16.08 ( p8(f17(X69,X70),f17(X71,X72)) % 15.90/16.08 | ~ p8(X69,X71) % 15.90/16.08 | ~ p8(X70,X72) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_30,negated_conjecture, % 15.90/16.08 ( p8(f15(X63,X64),f15(X65,X66)) % 15.90/16.08 | ~ p6(X63,X65) % 15.90/16.08 | ~ p8(X64,X66) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_31,negated_conjecture, % 15.90/16.08 ( p8(f13(X57,X58),f13(X59,X60)) % 15.90/16.08 | ~ p8(X57,X59) % 15.90/16.08 | ~ p8(X58,X60) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p6_32,negated_conjecture, % 15.90/16.08 ( p6(f11(X47,X48),f11(X49,X50)) % 15.90/16.08 | ~ p10(X48,X50) % 15.90/16.08 | ~ p2(X47,X49) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p2_33,negated_conjecture, % 15.90/16.08 ( p2(f18(X15,X16),f18(X17,X18)) % 15.90/16.08 | ~ p6(X15,X17) % 15.90/16.08 | ~ p8(X16,X18) ) ). % 15.90/16.08 % 15.90/16.08 cnf(f18_is_not_p23_34,negated_conjecture, % 15.90/16.08 ~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_35,negated_conjecture, % 15.90/16.08 p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_36,negated_conjecture, % 15.90/16.08 ( p8(f9(X83,X84,X85),f9(X86,X87,X88)) % 15.90/16.08 | ~ p7(X84,X87) % 15.90/16.08 | ~ p8(X85,X88) % 15.90/16.08 | ~ p6(X83,X86) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p24_37,negated_conjecture, % 15.90/16.08 ( p24(f9(f11(X31,f12(X32,X33)),c31,X34),f20(f11(X31,f12(X32,X33)))) % 15.90/16.08 | ~ p22(f3(f4(f5(c26))),X32) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_38,negated_conjecture, % 15.90/16.08 p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_39,negated_conjecture, % 15.90/16.08 ( p8(f21(X73,X74,X75,X76,X77),f21(X78,X79,X80,X81,X82)) % 15.90/16.08 | ~ p8(X76,X81) % 15.90/16.08 | ~ p8(X77,X82) % 15.90/16.08 | ~ p2(X73,X78) % 15.90/16.08 | ~ p2(X74,X79) % 15.90/16.08 | ~ p2(X75,X80) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p25_40,negated_conjecture, % 15.90/16.08 ( p25(f16(f17(X34,f9(f11(X31,f12(X32,X33)),c31,X34))),f16(f17(X34,X35))) % 15.90/16.08 | ~ p22(f3(f4(f5(c26))),X32) % 15.90/16.08 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p25_41,negated_conjecture, % 15.90/16.08 ( p25(f16(f17(X34,f9(f11(X31,f12(X32,X33)),c31,X34))),f13(f15(f11(X31,f12(X32,X33)),X34),f14(f3(f4(f5(c26)))))) % 15.90/16.08 | ~ p22(f3(f4(f5(c26))),X32) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_42,negated_conjecture, % 15.90/16.08 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) % 15.90/16.08 | p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33)))) % 15.90/16.08 | ~ p22(f3(f4(f5(c26))),X32) % 15.90/16.08 | ~ p23(f18(f11(X31,f12(X32,X33)),X35)) % 15.90/16.08 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_43,negated_conjecture, % 15.90/16.08 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) % 15.90/16.08 | ~ p22(f3(f4(f5(c26))),X32) % 15.90/16.08 | ~ p23(f18(f11(X31,f12(X32,X33)),X35)) % 15.90/16.08 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) % 15.90/16.08 | ~ p25(f16(f17(X34,X35)),f16(f17(X34,f21(X31,X32,X33,X34,X35)))) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_44,negated_conjecture, % 15.90/16.08 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) % 15.90/16.08 | p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33)))) % 15.90/16.08 | p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34))) % 15.90/16.08 | ~ p22(f3(f4(f5(c26))),X32) % 15.90/16.08 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ). % 15.90/16.08 % 15.90/16.08 cnf(p8_45,negated_conjecture, % 15.90/16.08 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34)) % 15.90/16.08 | p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34))) % 15.90/16.08 | ~ p22(f3(f4(f5(c26))),X32) % 15.90/16.08 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) % 15.90/16.08 | ~ p25(f16(f17(X34,X35)),f16(f17(X34,f21(X31,X32,X33,X34,X35)))) ) ). % 15.90/16.08 % 15.90/16.08 %-------------------------------------------------------------------------- % 15.90/16.08 %------------------------------------------- % 15.90/16.08 % Proof found % 15.90/16.08 % SZS status Theorem for theBenchmark % 15.90/16.08 % SZS output start Proof % 15.90/16.09 %ClaNum:45(EqnAxiom:0) % 15.90/16.09 %VarNum:304(SingletonVarNum:123) % 15.90/16.09 %MaxLitNum:6 % 15.90/16.09 %MaxfuncDepth:5 % 15.90/16.09 %SharedTerms:32 % 15.90/16.09 %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 % 15.90/16.09 %singleGoalClaCount:14 % 15.90/16.09 [12]~P5(a5,f4(a1)) % 15.90/16.09 [7]P7(f4(f3(f2(a1))),a5) % 15.90/16.09 [8]P8(a6,f14(f13(a7,f12(a5,a9)))) % 15.90/16.09 [9]P2(a8,f22(f13(a7,f12(a5,a9)),a10,a11)) % 15.90/16.09 [13]~P2(a6,f22(f13(a7,f12(a5,a9)),a10,a11)) % 15.90/16.09 [14]~P9(f20(f13(a7,f12(a5,a9)),f22(f13(a7,f12(a5,a9)),a10,a11))) % 15.90/16.09 [10]P2(f16(f15(a11,a6)),f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1)))))) % 15.90/16.09 [11]P2(f16(f15(a11,f22(f13(a7,f12(a5,a9)),a10,a11))),f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1)))))) % 15.90/16.09 [1]P1(x11,x11) % 15.90/16.09 [2]P2(x21,x21) % 15.90/16.09 [3]P3(x31,x31) % 15.90/16.09 [4]P4(x41,x41) % 15.90/16.09 [5]P5(x51,x51) % 15.90/16.09 [6]P6(x61,x61) % 15.90/16.09 [16]~P2(x161,x162)+P2(f16(x161),f16(x162)) % 15.90/16.09 [17]~P5(x171,x172)+P2(f18(x171),f18(x172)) % 15.90/16.09 [18]~P5(x181,x182)+P5(f4(x181),f4(x182)) % 15.90/16.09 [19]~P5(x191,x192)+P5(f2(x191),f2(x192)) % 15.90/16.09 [20]~P5(x201,x202)+P5(f3(x201),f3(x202)) % 15.90/16.09 [21]~P4(x211,x212)+P6(f14(x211),f14(x212)) % 15.90/16.09 [38]~P7(f4(f3(f2(a1))),x382)+P8(f22(f13(x381,f12(x382,x383)),a10,x384),f14(f13(x381,f12(x382,x383)))) % 15.90/16.09 [40]~P7(f4(f3(f2(a1))),x403)+P10(f16(f15(x401,f22(f13(x402,f12(x403,x404)),a10,x401))),f19(f17(f13(x402,f12(x403,x404)),x401),f18(f4(f3(f2(a1)))))) % 15.90/16.09 [15]~P5(x152,x151)+P9(x151)+~P9(x152) % 15.90/16.09 [22]~P1(x223,x221)+P1(x221,x222)+~P1(x223,x222) % 15.90/16.09 [23]~P2(x233,x231)+P2(x231,x232)+~P2(x233,x232) % 15.90/16.09 [24]~P3(x243,x241)+P3(x241,x242)+~P3(x243,x242) % 15.90/16.09 [25]~P4(x253,x251)+P4(x251,x252)+~P4(x253,x252) % 15.90/16.09 [26]~P5(x263,x261)+P5(x261,x262)+~P5(x263,x262) % 15.90/16.09 [27]~P6(x273,x271)+P6(x271,x272)+~P6(x273,x272) % 15.90/16.09 [31]~P5(x312,x314)+~P5(x311,x313)+P1(f12(x311,x312),f12(x313,x314)) % 15.90/16.09 [32]~P2(x322,x324)+~P2(x321,x323)+P2(f15(x321,x322),f15(x323,x324)) % 15.90/16.09 [33]~P2(x332,x334)+~P4(x331,x333)+P2(f17(x331,x332),f17(x333,x334)) % 15.90/16.09 [34]~P2(x342,x344)+~P2(x341,x343)+P2(f19(x341,x342),f19(x343,x344)) % 15.90/16.09 [35]~P1(x352,x354)+~P5(x351,x353)+P4(f13(x351,x352),f13(x353,x354)) % 15.90/16.09 [36]~P2(x362,x364)+~P4(x361,x363)+P5(f20(x361,x362),f20(x363,x364)) % 15.90/16.09 [39]~P8(x395,f14(f13(x392,f12(x393,x394))))+~P7(f4(f3(f2(a1))),x393)+P10(f16(f15(x391,f22(f13(x392,f12(x393,x394)),a10,x391))),f16(f15(x391,x395))) % 15.90/16.09 [28]~P7(x283,x284)+P7(x281,x282)+~P5(x283,x281)+~P5(x284,x282) % 15.90/16.09 [29]~P8(x293,x294)+P8(x291,x292)+~P2(x293,x291)+~P6(x294,x292) % 15.90/16.09 [30]~P10(x304,x303)+P10(x301,x302)+~P2(x303,x302)+~P2(x304,x301) % 15.90/16.09 [37]~P2(x373,x376)+~P3(x372,x375)+~P4(x371,x374)+P2(f22(x371,x372,x373),f22(x374,x375,x376)) % 15.90/16.09 [41]P8(f21(x412,x413,x414,x415,x411),f14(f13(x412,f12(x413,x414))))+~P8(x411,f14(f13(x412,f12(x413,x414))))+~P7(f4(f3(f2(a1))),x413)+P2(x411,f22(f13(x412,f12(x413,x414)),a10,x415))+~P9(f20(f13(x412,f12(x413,x414)),x411)) % 15.90/16.09 [44]~P10(f16(f15(x445,x441)),f16(f15(x445,f21(x442,x443,x444,x445,x441))))+~P8(x441,f14(f13(x442,f12(x443,x444))))+~P7(f4(f3(f2(a1))),x443)+P2(x441,f22(f13(x442,f12(x443,x444)),a10,x445))+~P9(f20(f13(x442,f12(x443,x444)),x441)) % 15.90/16.09 [42]P8(f21(x422,x423,x424,x425,x421),f14(f13(x422,f12(x423,x424))))+~P8(x421,f14(f13(x422,f12(x423,x424))))+~P7(f4(f3(f2(a1))),x423)+P2(x421,f22(f13(x422,f12(x423,x424)),a10,x425))+P9(f20(f13(x422,f12(x423,x424)),f22(f13(x422,f12(x423,x424)),a10,x425))) % 15.90/16.09 [45]~P10(f16(f15(x455,x451)),f16(f15(x455,f21(x452,x453,x454,x455,x451))))+~P8(x451,f14(f13(x452,f12(x453,x454))))+~P7(f4(f3(f2(a1))),x453)+P2(x451,f22(f13(x452,f12(x453,x454)),a10,x455))+P9(f20(f13(x452,f12(x453,x454)),f22(f13(x452,f12(x453,x454)),a10,x455))) % 15.90/16.09 [43]~P2(x435,x4310)+~P2(x434,x439)+~P5(x433,x438)+~P5(x432,x437)+~P5(x431,x436)+P2(f21(x431,x432,x433,x434,x435),f21(x436,x437,x438,x439,x4310)) % 15.90/16.09 %EqnAxiom % 15.90/16.09 % 15.90/16.09 %------------------------------------------- % 15.90/16.09 cnf(48,plain, % 15.90/16.09 (~P10(f16(f15(a11,a6)),f16(f15(a11,f21(a7,a5,a9,a11,a6))))), % 15.90/16.09 inference(scs_inference,[],[13,7,8,14,42,45])). % 15.90/16.09 cnf(117,plain, % 15.90/16.09 (P2(f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1))))),f16(f15(a11,a6)))), % 15.90/16.09 inference(scs_inference,[],[10,2,23])). % 15.90/16.09 cnf(126,plain, % 16.03/16.09 (P2(f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1))))),f16(f15(a11,f22(f13(a7,f12(a5,a9)),a10,a11))))), % 16.03/16.09 inference(scs_inference,[],[11,2,23])). % 16.03/16.09 cnf(1229,plain, % 16.03/16.09 (P10(f16(f15(x12291,f22(f13(a7,f12(a5,a9)),a10,x12291))),f16(f15(x12291,f21(a7,a5,a9,a11,a6))))), % 16.03/16.09 inference(scs_inference,[],[7,14,13,8,39,42])). % 16.03/16.09 cnf(1236,plain, % 16.03/16.09 ($false), % 16.03/16.09 inference(scs_inference,[],[117,126,48,1229,2,30,16,23]), % 16.03/16.09 ['proof']). % 16.03/16.09 % SZS output end Proof % 16.03/16.09 % Total time :15.470000s %------------------------------------------------------------------------------