%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN692-1 : 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 : 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 19:06:19 EDT 2024 % Result : Unsatisfiable 109.99s 110.03s % Output : CNFRefutation 109.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.09 % Problem : SYN692-1 : TPTP v8.2.0. Released v2.5.0. % 0.04/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.09/0.29 % Computer : n029.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 : Sun Jun 23 18:28:23 EDT 2024 % 0.09/0.29 % CPUTime : % 0.14/0.47 start to proof:theBenchmark % 109.92/110.01 %------------------------------------------- % 109.92/110.01 % File :CSE---1.7 % 109.92/110.01 % Problem :theBenchmark % 109.92/110.01 % Transform :cnf % 109.92/110.01 % Format :tptp:raw % 109.92/110.01 % Command :java -jar mcs_scs.jar %d %s % 109.92/110.01 % 109.92/110.01 % Result :Theorem 109.500000s % 109.92/110.01 % Output :CNFRefutation 109.500000s % 109.92/110.01 %------------------------------------------- % 109.99/110.02 %-------------------------------------------------------------------------- % 109.99/110.02 % File : SYN692-1 : TPTP v8.2.0. Released v2.5.0. % 109.99/110.02 % Domain : Syntactic % 109.99/110.02 % Problem : Harrison problem 4626 % 109.99/110.02 % Version : Especial. % 109.99/110.02 % English : % 109.99/110.02 % 109.99/110.02 % Refs : [Har01] Email to G. Sutcliffe % 109.99/110.02 % Source : [Har01] % 109.99/110.02 % Names : % 109.99/110.02 % 109.99/110.02 % Status : Unsatisfiable % 109.99/110.02 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0 % 109.99/110.02 % Syntax : Number of clauses : 68 ( 26 unt; 2 nHn; 58 RR) % 109.99/110.02 % Number of literals : 148 ( 0 equ; 80 neg) % 109.99/110.02 % Maximal clause size : 5 ( 2 avg) % 109.99/110.02 % Maximal term depth : 6 ( 1 avg) % 109.99/110.02 % Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty) % 109.99/110.02 % Number of functors : 26 ( 26 usr; 12 con; 0-2 aty) % 109.99/110.02 % Number of variables : 131 ( 5 sgn) % 109.99/110.02 % SPC : CNF_UNS_RFO_NEQ_NHN % 109.99/110.02 % 109.99/110.02 % Comments : % 109.99/110.02 %-------------------------------------------------------------------------- % 109.99/110.02 cnf(c34_is_p25_1,negated_conjecture, % 109.99/110.02 p25(c34) ). % 109.99/110.02 % 109.99/110.02 cnf(c36_is_p29_2,negated_conjecture, % 109.99/110.02 p29(c36) ). % 109.99/110.02 % 109.99/110.02 cnf(f18_is_p30_3,negated_conjecture, % 109.99/110.02 p30(f18(c41)) ). % 109.99/110.02 % 109.99/110.02 cnf(f16_is_p28_4,negated_conjecture, % 109.99/110.02 p28(f16(c38)) ). % 109.99/110.02 % 109.99/110.02 cnf(f16_is_p28_5,negated_conjecture, % 109.99/110.02 p28(f16(c39)) ). % 109.99/110.02 % 109.99/110.02 cnf(f18_is_p30_6,negated_conjecture, % 109.99/110.02 p30(f18(c40)) ). % 109.99/110.02 % 109.99/110.02 cnf(p10_7,negated_conjecture, % 109.99/110.02 p10(X5,X5) ). % 109.99/110.02 % 109.99/110.02 cnf(p7_8,negated_conjecture, % 109.99/110.02 p7(X111,X111) ). % 109.99/110.02 % 109.99/110.02 cnf(p6_9,negated_conjecture, % 109.99/110.02 p6(X108,X108) ). % 109.99/110.02 % 109.99/110.02 cnf(p3_10,negated_conjecture, % 109.99/110.02 p3(X87,X87) ). % 109.99/110.02 % 109.99/110.02 cnf(p21_11,negated_conjecture, % 109.99/110.02 p21(X67,X67) ). % 109.99/110.02 % 109.99/110.02 cnf(p2_12,negated_conjecture, % 109.99/110.02 p2(X43,X43) ). % 109.99/110.02 % 109.99/110.02 cnf(p17_13,negated_conjecture, % 109.99/110.02 p17(X28,X28) ). % 109.99/110.02 % 109.99/110.02 cnf(p14_14,negated_conjecture, % 109.99/110.02 p14(X19,X19) ). % 109.99/110.02 % 109.99/110.02 cnf(p12_15,negated_conjecture, % 109.99/110.02 p12(X12,X12) ). % 109.99/110.02 % 109.99/110.02 cnf(p2_16,negated_conjecture, % 109.99/110.02 p2(c44,c45) ). % 109.99/110.02 % 109.99/110.02 cnf(p31_17,negated_conjecture, % 109.99/110.02 p31(c45,f5(c42)) ). % 109.99/110.02 % 109.99/110.02 cnf(p31_18,negated_conjecture, % 109.99/110.02 p31(c44,f5(c42)) ). % 109.99/110.02 % 109.99/110.02 cnf(p7_19,negated_conjecture, % 109.99/110.02 p7(f8(c35),c36) ). % 109.99/110.02 % 109.99/110.02 cnf(p31_20,negated_conjecture, % 109.99/110.02 p31(f23(c44,f9(f20(c37))),c45) ). % 109.99/110.02 % 109.99/110.02 cnf(p26_21,negated_conjecture, % 109.99/110.02 p26(c34,f4(f5(X78)),f4(X78)) ). % 109.99/110.02 % 109.99/110.02 cnf(p25_22,negated_conjecture, % 109.99/110.02 ( p25(X70) % 109.99/110.03 | ~ p25(X71) % 109.99/110.03 | ~ p21(X71,X70) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p30_23,negated_conjecture, % 109.99/110.03 ( p30(X92) % 109.99/110.03 | ~ p30(X93) % 109.99/110.03 | ~ p17(X93,X92) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p29_24,negated_conjecture, % 109.99/110.03 ( p29(X85) % 109.99/110.03 | ~ p29(X86) % 109.99/110.03 | ~ p7(X86,X85) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p28_25,negated_conjecture, % 109.99/110.03 ( p28(X83) % 109.99/110.03 | ~ p28(X84) % 109.99/110.03 | ~ p14(X84,X83) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p7_26,negated_conjecture, % 109.99/110.03 ( p7(f8(X114),f8(X115)) % 109.99/110.03 | ~ p6(X114,X115) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p14_27,negated_conjecture, % 109.99/110.03 ( p14(f16(X26),f16(X27)) % 109.99/110.03 | ~ p14(X26,X27) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p17_28,negated_conjecture, % 109.99/110.03 ( p17(f18(X31),f18(X32)) % 109.99/110.03 | ~ p17(X31,X32) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_29,negated_conjecture, % 109.99/110.03 ( p2(f20(X55),f20(X56)) % 109.99/110.03 | ~ p2(X55,X56) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_30,negated_conjecture, % 109.99/110.03 ( p2(f24(X61),f24(X62)) % 109.99/110.03 | ~ p2(X61,X62) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_31,negated_conjecture, % 109.99/110.03 ( p2(f5(X63),f5(X64)) % 109.99/110.03 | ~ p2(X63,X64) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_32,negated_conjecture, % 109.99/110.03 ( p2(f9(X65),f9(X66)) % 109.99/110.03 | ~ p2(X65,X66) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p3_33,negated_conjecture, % 109.99/110.03 ( p3(f4(X90),f4(X91)) % 109.99/110.03 | ~ p2(X90,X91) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p10_34,negated_conjecture, % 109.99/110.03 ( p10(X6,X7) % 109.99/110.03 | ~ p10(X5,X6) % 109.99/110.03 | ~ p10(X5,X7) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p7_35,negated_conjecture, % 109.99/110.03 ( p7(X112,X113) % 109.99/110.03 | ~ p7(X111,X112) % 109.99/110.03 | ~ p7(X111,X113) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p6_36,negated_conjecture, % 109.99/110.03 ( p6(X109,X110) % 109.99/110.03 | ~ p6(X108,X109) % 109.99/110.03 | ~ p6(X108,X110) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p3_37,negated_conjecture, % 109.99/110.03 ( p3(X88,X89) % 109.99/110.03 | ~ p3(X87,X88) % 109.99/110.03 | ~ p3(X87,X89) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p21_38,negated_conjecture, % 109.99/110.03 ( p21(X68,X69) % 109.99/110.03 | ~ p21(X67,X68) % 109.99/110.03 | ~ p21(X67,X69) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_39,negated_conjecture, % 109.99/110.03 ( p2(X44,X45) % 109.99/110.03 | ~ p2(X43,X44) % 109.99/110.03 | ~ p2(X43,X45) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p17_40,negated_conjecture, % 109.99/110.03 ( p17(X29,X30) % 109.99/110.03 | ~ p17(X28,X29) % 109.99/110.03 | ~ p17(X28,X30) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p14_41,negated_conjecture, % 109.99/110.03 ( p14(X20,X21) % 109.99/110.03 | ~ p14(X19,X20) % 109.99/110.03 | ~ p14(X19,X21) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p12_42,negated_conjecture, % 109.99/110.03 ( p12(X13,X14) % 109.99/110.03 | ~ p12(X12,X13) % 109.99/110.03 | ~ p12(X12,X14) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p31_43,negated_conjecture, % 109.99/110.03 p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)) ). % 109.99/110.03 % 109.99/110.03 cnf(p31_44,negated_conjecture, % 109.99/110.03 ( p31(X94,f24(X94)) % 109.99/110.03 | ~ p31(X94,c44) % 109.99/110.03 | ~ p31(X94,f5(c42)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p31_45,negated_conjecture, % 109.99/110.03 ( p31(f24(X94),f5(c42)) % 109.99/110.03 | ~ p31(X94,c44) % 109.99/110.03 | ~ p31(X94,f5(c42)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p33_46,negated_conjecture, % 109.99/110.03 ( p33(X104,X105) % 109.99/110.03 | ~ p2(X107,X105) % 109.99/110.03 | ~ p33(X106,X107) % 109.99/110.03 | ~ p2(X106,X104) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p27_47,negated_conjecture, % 109.99/110.03 ( p27(X79,X80) % 109.99/110.03 | ~ p14(X82,X79) % 109.99/110.03 | ~ p27(X82,X81) % 109.99/110.03 | ~ p12(X81,X80) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p31_48,negated_conjecture, % 109.99/110.03 ( p31(X95,X96) % 109.99/110.03 | ~ p2(X98,X96) % 109.99/110.03 | ~ p31(X97,X98) % 109.99/110.03 | ~ p2(X97,X95) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p32_49,negated_conjecture, % 109.99/110.03 ( p32(X99,X100) % 109.99/110.03 | ~ p17(X102,X99) % 109.99/110.03 | ~ p32(X102,X101) % 109.99/110.03 | ~ p10(X101,X100) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_50,negated_conjecture, % 109.99/110.03 p2(f11(f4(c42),c43),f11(f4(f23(c42,f9(f20(c37)))),c43)) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_51,negated_conjecture, % 109.99/110.03 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ). % 109.99/110.03 % 109.99/110.03 cnf(not_p2_52,negated_conjecture, % 109.99/110.03 ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ). % 109.99/110.03 % 109.99/110.03 cnf(p10_53,negated_conjecture, % 109.99/110.03 ( p10(X0,c43) % 109.99/110.03 | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p12_54,negated_conjecture, % 109.99/110.03 ( p12(f13(X15,X16),f13(X17,X18)) % 109.99/110.03 | ~ p10(X15,X17) % 109.99/110.03 | ~ p2(X16,X18) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_55,negated_conjecture, % 109.99/110.03 ( p2(f23(X57,X58),f23(X59,X60)) % 109.99/110.03 | ~ p2(X57,X59) % 109.99/110.03 | ~ p2(X58,X60) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_56,negated_conjecture, % 109.99/110.03 ( p2(f19(X51,X52),f19(X53,X54)) % 109.99/110.03 | ~ p2(X51,X53) % 109.99/110.03 | ~ p2(X52,X54) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_57,negated_conjecture, % 109.99/110.03 ( p2(f11(X46,X47),f11(X48,X49)) % 109.99/110.03 | ~ p10(X47,X49) % 109.99/110.03 | ~ p3(X46,X48) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p17_58,negated_conjecture, % 109.99/110.03 ( p17(f22(X33,X34),f22(X35,X36)) % 109.99/110.03 | ~ p10(X34,X36) % 109.99/110.03 | ~ p21(X33,X35) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p14_59,negated_conjecture, % 109.99/110.03 ( p14(f15(X22,X23),f15(X24,X25)) % 109.99/110.03 | ~ p12(X23,X25) % 109.99/110.03 | ~ p7(X22,X24) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_60,negated_conjecture, % 109.99/110.03 p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ). % 109.99/110.03 % 109.99/110.03 cnf(p32_61,negated_conjecture, % 109.99/110.03 ( p32(f22(c34,X103),c43) % 109.99/110.03 | ~ p33(f11(f4(f5(c42)),X103),f11(f4(c42),X103)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_62,negated_conjecture, % 109.99/110.03 ( p2(f11(f4(X50),c43),f11(f4(c44),c43)) % 109.99/110.03 | ~ p31(c44,X50) % 109.99/110.03 | ~ p31(X50,f5(c42)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p10_63,negated_conjecture, % 109.99/110.03 ( p10(X1,X2) % 109.99/110.03 | p32(f22(c34,X1),X2) % 109.99/110.03 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(not_p31_64,negated_conjecture, % 109.99/110.03 ( ~ p31(X94,c44) % 109.99/110.03 | ~ p31(X94,f5(c42)) % 109.99/110.03 | ~ p2(f11(f4(f24(X94)),c43),f11(f4(X94),c43)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p26_65,negated_conjecture, % 109.99/110.03 ( p26(X72,X73,X74) % 109.99/110.03 | ~ p3(X77,X74) % 109.99/110.03 | ~ p3(X76,X73) % 109.99/110.03 | ~ p21(X75,X72) % 109.99/110.03 | ~ p26(X75,X76,X77) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p10_66,negated_conjecture, % 109.99/110.03 ( p10(X8,X9) % 109.99/110.03 | ~ p2(f11(f4(X10),X8),f9(c37)) % 109.99/110.03 | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p2_67,negated_conjecture, % 109.99/110.03 ( p2(X37,X38) % 109.99/110.03 | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41)) % 109.99/110.03 | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ). % 109.99/110.03 % 109.99/110.03 cnf(p32_68,negated_conjecture, % 109.99/110.03 ( p32(f22(c34,X1),X2) % 109.99/110.03 | p31(f11(f4(X3),X2),f11(f4(X4),X2)) % 109.99/110.03 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ). % 109.99/110.03 % 109.99/110.03 %-------------------------------------------------------------------------- % 109.99/110.03 %------------------------------------------- % 109.99/110.03 % Proof found % 109.99/110.03 % SZS status Theorem for theBenchmark % 109.99/110.03 % SZS output start Proof % 109.99/110.03 %ClaNum:68(EqnAxiom:0) % 109.99/110.03 %VarNum:270(SingletonVarNum:131) % 109.99/110.03 %MaxLitNum:5 % 109.99/110.03 %MaxfuncDepth:5 % 109.99/110.03 %SharedTerms:52 % 109.99/110.03 %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 56 57 58 59 60 61 62 63 64 65 66 67 68 % 109.99/110.03 %singleGoalClaCount:26 % 109.99/110.03 [1]P1(a1) % 109.99/110.03 [2]P8(a2) % 109.99/110.03 [7]P2(a11,a14) % 109.99/110.03 [3]P12(f9(a4)) % 109.99/110.03 [4]P12(f9(a5)) % 109.99/110.03 [5]P9(f10(a6)) % 109.99/110.03 [6]P9(f10(a8)) % 109.99/110.03 [17]P16(a11,f18(a12)) % 109.99/110.03 [18]P16(a14,f18(a12)) % 109.99/110.03 [19]P14(f25(a3),a2) % 109.99/110.03 [20]P16(f21(a11,f26(f19(a7))),a14) % 109.99/110.03 [22]P16(f15(f23(f18(a12)),a13),f15(f23(a12),a13)) % 109.99/110.03 [23]P2(f20(f15(f23(f18(a12)),a13),f26(f19(a7))),f15(f23(a12),a13)) % 109.99/110.03 [24]P2(f15(f23(a12),a13),f15(f23(f21(a12,f26(f19(a7)))),a13)) % 109.99/110.03 [25]P2(f15(f23(f21(a11,f26(f19(a7)))),a13),f15(f23(a11),a13)) % 109.99/110.03 [26]~P2(f15(f23(a14),a13),f15(f23(f21(a11,f26(f19(a7)))),a13)) % 109.99/110.03 [8]P3(x81,x81) % 109.99/110.03 [9]P14(x91,x91) % 109.99/110.03 [10]P15(x101,x101) % 109.99/110.03 [11]P13(x111,x111) % 109.99/110.03 [12]P7(x121,x121) % 109.99/110.03 [13]P2(x131,x131) % 109.99/110.03 [14]P4(x141,x141) % 109.99/110.03 [15]P5(x151,x151) % 109.99/110.03 [16]P6(x161,x161) % 109.99/110.03 [21]P10(a1,f23(f18(x211)),f23(x211)) % 109.99/110.03 [61]P3(x611,a13)+~P16(f15(f23(f18(a12)),x611),f15(f23(a12),x611)) % 109.99/110.03 [62]P18(f22(a1,x621),a13)+~P17(f15(f23(f18(a12)),x621),f15(f23(a12),x621)) % 109.99/110.03 [31]~P15(x311,x312)+P14(f25(x311),f25(x312)) % 109.99/110.03 [32]~P2(x321,x322)+P13(f23(x321),f23(x322)) % 109.99/110.03 [33]~P2(x331,x332)+P2(f18(x331),f18(x332)) % 109.99/110.03 [34]~P2(x341,x342)+P2(f19(x341),f19(x342)) % 109.99/110.04 [35]~P2(x351,x352)+P2(f26(x351),f26(x352)) % 109.99/110.04 [36]~P2(x361,x362)+P2(f24(x361),f24(x362)) % 109.99/110.04 [37]~P4(x371,x372)+P4(f9(x371),f9(x372)) % 109.99/110.04 [38]~P5(x381,x382)+P5(f10(x381),f10(x382)) % 109.99/110.04 [48]~P16(x481,a11)+P16(x481,f24(x481))+~P16(x481,f18(a12)) % 109.99/110.04 [49]~P16(x491,a11)+~P16(x491,f18(a12))+P16(f24(x491),f18(a12)) % 109.99/110.04 [60]~P16(a11,x601)+~P16(x601,f18(a12))+P2(f15(f23(x601),a13),f15(f23(a11),a13)) % 109.99/110.04 [64]~P16(x641,a11)+~P16(x641,f18(a12))+~P2(f15(f23(f24(x641)),a13),f15(f23(x641),a13)) % 109.99/110.04 [27]~P7(x272,x271)+P1(x271)+~P1(x272) % 109.99/110.04 [28]~P14(x282,x281)+P8(x281)+~P8(x282) % 109.99/110.04 [29]~P4(x292,x291)+P12(x291)+~P12(x292) % 109.99/110.04 [30]~P5(x302,x301)+P9(x301)+~P9(x302) % 109.99/110.04 [39]~P3(x393,x391)+P3(x391,x392)+~P3(x393,x392) % 109.99/110.04 [40]~P14(x403,x401)+P14(x401,x402)+~P14(x403,x402) % 109.99/110.04 [41]~P15(x413,x411)+P15(x411,x412)+~P15(x413,x412) % 109.99/110.04 [42]~P13(x423,x421)+P13(x421,x422)+~P13(x423,x422) % 109.99/110.04 [43]~P7(x433,x431)+P7(x431,x432)+~P7(x433,x432) % 109.99/110.04 [44]~P2(x443,x441)+P2(x441,x442)+~P2(x443,x442) % 109.99/110.04 [45]~P4(x453,x451)+P4(x451,x452)+~P4(x453,x452) % 109.99/110.04 [46]~P5(x463,x461)+P5(x461,x462)+~P5(x463,x462) % 109.99/110.04 [47]~P6(x473,x471)+P6(x471,x472)+~P6(x473,x472) % 109.99/110.04 [54]~P2(x542,x544)+~P2(x541,x543)+P2(f21(x541,x542),f21(x543,x544)) % 109.99/110.04 [55]~P3(x552,x554)+~P13(x551,x553)+P2(f15(x551,x552),f15(x553,x554)) % 109.99/110.04 [56]~P2(x562,x564)+~P2(x561,x563)+P2(f20(x561,x562),f20(x563,x564)) % 109.99/110.04 [57]~P3(x572,x574)+~P7(x571,x573)+P4(f22(x571,x572),f22(x573,x574)) % 109.99/110.04 [58]~P14(x581,x583)+~P6(x582,x584)+P5(f16(x581,x582),f16(x583,x584)) % 109.99/110.04 [59]~P3(x591,x593)+~P2(x592,x594)+P6(f17(x591,x592),f17(x593,x594)) % 109.99/110.04 [65]P3(x651,x652)+P18(f22(a1,x651),x652)+~P11(f16(a2,f17(x651,x653)),f17(x652,x654)) % 109.99/110.04 [66]P3(x661,x662)+~P11(f16(a2,f17(x661,x663)),f17(x662,x664))+~P2(f15(f23(x663),x661),f26(a7)) % 109.99/110.04 [67]P18(f22(a1,x671),x672)+P16(f15(f23(x673),x672),f15(f23(x674),x672))+~P11(f16(a2,f17(x671,x673)),f17(x672,x674)) % 109.99/110.04 [68]P2(x681,x682)+~P11(f16(a2,f17(x683,x682)),f17(x684,x685))+~P11(f16(a2,f17(x686,x681)),f17(x684,x685)) % 109.99/110.04 [50]~P16(x503,x504)+P16(x501,x502)+~P2(x503,x501)+~P2(x504,x502) % 109.99/110.04 [51]~P17(x513,x514)+P17(x511,x512)+~P2(x513,x511)+~P2(x514,x512) % 109.99/110.04 [52]~P11(x523,x524)+P11(x521,x522)+~P5(x523,x521)+~P6(x524,x522) % 109.99/110.04 [53]~P18(x534,x533)+P18(x531,x532)+~P3(x533,x532)+~P4(x534,x531) % 109.99/110.04 [63]~P10(x636,x634,x635)+P10(x631,x632,x633)+~P13(x634,x632)+~P13(x635,x633)+~P7(x636,x631) % 109.99/110.04 %EqnAxiom % 109.99/110.04 % 109.99/110.04 %------------------------------------------- % 109.99/110.04 cnf(5236,plain, % 109.99/110.04 (P2(f19(a11),f19(a14))), % 109.99/110.04 inference(scs_inference,[],[7,34])). % 109.99/110.04 cnf(5238,plain, % 109.99/110.04 (P2(f18(a11),f18(a14))), % 109.99/110.04 inference(scs_inference,[],[7,34,33])). % 109.99/110.04 cnf(5240,plain, % 109.99/110.04 (P2(f24(a11),f24(a14))), % 109.99/110.04 inference(scs_inference,[],[7,34,33,36])). % 109.99/110.04 cnf(5242,plain, % 109.99/110.04 (P13(f23(a11),f23(a14))), % 109.99/110.04 inference(scs_inference,[],[7,34,33,36,32])). % 109.99/110.04 cnf(5244,plain, % 109.99/110.04 (P2(f26(a11),f26(a14))), % 109.99/110.04 inference(scs_inference,[],[7,34,33,36,32,35])). % 109.99/110.04 cnf(5246,plain, % 109.99/110.04 (P6(f17(x52461,a11),f17(x52461,a14))), % 109.99/110.04 inference(scs_inference,[],[7,8,34,33,36,32,35,59])). % 109.99/110.04 cnf(5270,plain, % 109.99/110.04 (P6(f17(x52701,f19(a11)),f17(x52701,f19(a14)))), % 109.99/110.04 inference(scs_inference,[],[5236,5238,8,34,33,36,32,35,59])). % 109.99/110.04 cnf(5280,plain, % 109.99/110.04 (P5(f10(f16(x52801,f17(x52802,a11))),f10(f16(x52801,f17(x52802,a14))))), % 109.99/110.04 inference(scs_inference,[],[5236,5238,5242,5246,9,8,34,33,36,32,35,59,54,58,56,55,38])). % 109.99/110.04 cnf(5282,plain, % 109.99/110.04 (~P2(f15(f23(a11),a13),f15(f23(f21(a11,f26(f19(a7)))),a13))), % 109.99/110.04 inference(scs_inference,[],[5236,5238,5242,5246,26,9,8,34,33,36,32,35,59,54,58,56,55,38,44])). % 109.99/110.04 cnf(5309,plain, % 109.99/110.04 ($false), % 109.99/110.04 inference(scs_inference,[],[5240,5244,5270,5280,5282,25,19,13,34,38,33,36,32,35,54,58,56,44]), % 109.99/110.04 ['proof']). % 109.99/110.04 % SZS output end Proof % 109.99/110.04 % Total time :109.500000s %------------------------------------------------------------------------------