%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN697-1 : 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 : n018.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 19:06:20 EDT 2024 % Result : Unsatisfiable 112.68s 112.72s % Output : CNFRefutation 112.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SYN697-1 : TPTP v8.2.0. Released v2.5.0. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.14/0.36 % Computer : n018.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sun Jun 23 21:35:23 EDT 2024 % 0.14/0.36 % CPUTime : % 0.55/0.61 start to proof:theBenchmark % 112.60/112.69 %------------------------------------------- % 112.60/112.69 % File :CSE---1.7 % 112.60/112.69 % Problem :theBenchmark % 112.60/112.69 % Transform :cnf % 112.60/112.69 % Format :tptp:raw % 112.60/112.69 % Command :java -jar mcs_scs.jar %d %s % 112.60/112.69 % 112.60/112.69 % Result :Theorem 112.000000s % 112.60/112.69 % Output :CNFRefutation 112.000000s % 112.60/112.69 %------------------------------------------- % 112.68/112.70 %-------------------------------------------------------------------------- % 112.68/112.70 % File : SYN697-1 : TPTP v8.2.0. Released v2.5.0. % 112.68/112.70 % Domain : Syntactic % 112.68/112.70 % Problem : Harrison problem 4647 % 112.68/112.70 % Version : Especial. % 112.68/112.70 % English : % 112.68/112.70 % 112.68/112.70 % Refs : [Har01] Email to G. Sutcliffe % 112.68/112.70 % Source : [Har01] % 112.68/112.70 % Names : % 112.68/112.70 % 112.68/112.70 % Status : Unsatisfiable % 112.68/112.70 % Rating : 0.00 v7.0.0, 0.12 v6.3.0, 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 % 112.68/112.70 % Syntax : Number of clauses : 73 ( 30 unt; 2 nHn; 63 RR) % 112.68/112.70 % Number of literals : 155 ( 0 equ; 83 neg) % 112.68/112.70 % Maximal clause size : 5 ( 2 avg) % 112.68/112.70 % Maximal term depth : 6 ( 1 avg) % 112.68/112.70 % Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty) % 112.68/112.70 % Number of functors : 28 ( 28 usr; 14 con; 0-2 aty) % 112.68/112.70 % Number of variables : 132 ( 5 sgn) % 112.68/112.70 % SPC : CNF_UNS_RFO_NEQ_NHN % 112.68/112.70 % 112.68/112.70 % Comments : % 112.68/112.70 %-------------------------------------------------------------------------- % 112.68/112.70 cnf(c34_is_p25_1,negated_conjecture, % 112.68/112.70 p25(c34) ). % 112.68/112.70 % 112.68/112.70 cnf(c36_is_p29_2,negated_conjecture, % 112.68/112.70 p29(c36) ). % 112.68/112.70 % 112.68/112.70 cnf(f18_is_p30_3,negated_conjecture, % 112.68/112.70 p30(f18(c41)) ). % 112.68/112.70 % 112.68/112.70 cnf(f16_is_p28_4,negated_conjecture, % 112.68/112.70 p28(f16(c38)) ). % 112.68/112.70 % 112.68/112.70 cnf(f16_is_p28_5,negated_conjecture, % 112.68/112.70 p28(f16(c39)) ). % 112.68/112.70 % 112.68/112.70 cnf(f18_is_p30_6,negated_conjecture, % 112.68/112.70 p30(f18(c40)) ). % 112.68/112.70 % 112.68/112.70 cnf(p10_7,negated_conjecture, % 112.68/112.70 p10(X5,X5) ). % 112.68/112.70 % 112.68/112.70 cnf(p7_8,negated_conjecture, % 112.68/112.71 p7(X112,X112) ). % 112.68/112.71 % 112.68/112.71 cnf(p6_9,negated_conjecture, % 112.68/112.71 p6(X109,X109) ). % 112.68/112.71 % 112.68/112.71 cnf(p3_10,negated_conjecture, % 112.68/112.71 p3(X88,X88) ). % 112.68/112.71 % 112.68/112.71 cnf(p21_11,negated_conjecture, % 112.68/112.71 p21(X68,X68) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_12,negated_conjecture, % 112.68/112.71 p2(X43,X43) ). % 112.68/112.71 % 112.68/112.71 cnf(p17_13,negated_conjecture, % 112.68/112.71 p17(X28,X28) ). % 112.68/112.71 % 112.68/112.71 cnf(p14_14,negated_conjecture, % 112.68/112.71 p14(X19,X19) ). % 112.68/112.71 % 112.68/112.71 cnf(p12_15,negated_conjecture, % 112.68/112.71 p12(X12,X12) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_16,negated_conjecture, % 112.68/112.71 p2(c44,c45) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_17,negated_conjecture, % 112.68/112.71 p31(c46,c42) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_18,negated_conjecture, % 112.68/112.71 p31(c45,f5(c42)) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_19,negated_conjecture, % 112.68/112.71 p31(c44,f5(c42)) ). % 112.68/112.71 % 112.68/112.71 cnf(p7_20,negated_conjecture, % 112.68/112.71 p7(f8(c35),c36) ). % 112.68/112.71 % 112.68/112.71 cnf(p32_21,negated_conjecture, % 112.68/112.71 p32(f22(c34,c43),c47) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_22,negated_conjecture, % 112.68/112.71 p31(f23(c44,f9(f20(c37))),c45) ). % 112.68/112.71 % 112.68/112.71 cnf(p26_23,negated_conjecture, % 112.68/112.71 p26(c34,f4(f5(X79)),f4(X79)) ). % 112.68/112.71 % 112.68/112.71 cnf(p25_24,negated_conjecture, % 112.68/112.71 ( p25(X71) % 112.68/112.71 | ~ p25(X72) % 112.68/112.71 | ~ p21(X72,X71) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p30_25,negated_conjecture, % 112.68/112.71 ( p30(X93) % 112.68/112.71 | ~ p30(X94) % 112.68/112.71 | ~ p17(X94,X93) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p29_26,negated_conjecture, % 112.68/112.71 ( p29(X86) % 112.68/112.71 | ~ p29(X87) % 112.68/112.71 | ~ p7(X87,X86) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p28_27,negated_conjecture, % 112.68/112.71 ( p28(X84) % 112.68/112.71 | ~ p28(X85) % 112.68/112.71 | ~ p14(X85,X84) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p14_28,negated_conjecture, % 112.68/112.71 ( p14(f16(X26),f16(X27)) % 112.68/112.71 | ~ p14(X26,X27) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p7_29,negated_conjecture, % 112.68/112.71 ( p7(f8(X115),f8(X116)) % 112.68/112.71 | ~ p6(X115,X116) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p3_30,negated_conjecture, % 112.68/112.71 ( p3(f4(X91),f4(X92)) % 112.68/112.71 | ~ p2(X91,X92) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_31,negated_conjecture, % 112.68/112.71 ( p2(f9(X66),f9(X67)) % 112.68/112.71 | ~ p2(X66,X67) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_32,negated_conjecture, % 112.68/112.71 ( p2(f5(X64),f5(X65)) % 112.68/112.71 | ~ p2(X64,X65) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_33,negated_conjecture, % 112.68/112.71 ( p2(f24(X62),f24(X63)) % 112.68/112.71 | ~ p2(X62,X63) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_34,negated_conjecture, % 112.68/112.71 ( p2(f20(X56),f20(X57)) % 112.68/112.71 | ~ p2(X56,X57) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p17_35,negated_conjecture, % 112.68/112.71 ( p17(f18(X31),f18(X32)) % 112.68/112.71 | ~ p17(X31,X32) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p10_36,negated_conjecture, % 112.68/112.71 ( p10(X6,X7) % 112.68/112.71 | ~ p10(X5,X6) % 112.68/112.71 | ~ p10(X5,X7) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p7_37,negated_conjecture, % 112.68/112.71 ( p7(X113,X114) % 112.68/112.71 | ~ p7(X112,X113) % 112.68/112.71 | ~ p7(X112,X114) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p6_38,negated_conjecture, % 112.68/112.71 ( p6(X110,X111) % 112.68/112.71 | ~ p6(X109,X110) % 112.68/112.71 | ~ p6(X109,X111) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p3_39,negated_conjecture, % 112.68/112.71 ( p3(X89,X90) % 112.68/112.71 | ~ p3(X88,X89) % 112.68/112.71 | ~ p3(X88,X90) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p21_40,negated_conjecture, % 112.68/112.71 ( p21(X69,X70) % 112.68/112.71 | ~ p21(X68,X69) % 112.68/112.71 | ~ p21(X68,X70) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_41,negated_conjecture, % 112.68/112.71 ( p2(X44,X45) % 112.68/112.71 | ~ p2(X43,X44) % 112.68/112.71 | ~ p2(X43,X45) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p17_42,negated_conjecture, % 112.68/112.71 ( p17(X29,X30) % 112.68/112.71 | ~ p17(X28,X29) % 112.68/112.71 | ~ p17(X28,X30) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p14_43,negated_conjecture, % 112.68/112.71 ( p14(X20,X21) % 112.68/112.71 | ~ p14(X19,X20) % 112.68/112.71 | ~ p14(X19,X21) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p12_44,negated_conjecture, % 112.68/112.71 ( p12(X13,X14) % 112.68/112.71 | ~ p12(X12,X13) % 112.68/112.71 | ~ p12(X12,X14) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_45,negated_conjecture, % 112.68/112.71 p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_46,negated_conjecture, % 112.68/112.71 ( p31(X95,f24(X95)) % 112.68/112.71 | ~ p31(X95,c44) % 112.68/112.71 | ~ p31(X95,f5(c42)) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_47,negated_conjecture, % 112.68/112.71 ( p31(f24(X95),f5(c42)) % 112.68/112.71 | ~ p31(X95,c44) % 112.68/112.71 | ~ p31(X95,f5(c42)) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p33_48,negated_conjecture, % 112.68/112.71 ( p33(X105,X106) % 112.68/112.71 | ~ p2(X108,X106) % 112.68/112.71 | ~ p33(X107,X108) % 112.68/112.71 | ~ p2(X107,X105) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p27_49,negated_conjecture, % 112.68/112.71 ( p27(X80,X81) % 112.68/112.71 | ~ p14(X83,X80) % 112.68/112.71 | ~ p27(X83,X82) % 112.68/112.71 | ~ p12(X82,X81) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p31_50,negated_conjecture, % 112.68/112.71 ( p31(X96,X97) % 112.68/112.71 | ~ p2(X99,X97) % 112.68/112.71 | ~ p31(X98,X99) % 112.68/112.71 | ~ p2(X98,X96) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p32_51,negated_conjecture, % 112.68/112.71 ( p32(X100,X101) % 112.68/112.71 | ~ p17(X103,X100) % 112.68/112.71 | ~ p32(X103,X102) % 112.68/112.71 | ~ p10(X102,X101) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_52,negated_conjecture, % 112.68/112.71 p2(f11(f4(c46),c47),f19(f11(f4(c42),c47),f9(f20(c37)))) ). % 112.68/112.71 % 112.68/112.71 cnf(p33_53,negated_conjecture, % 112.68/112.71 p33(f11(f4(c42),c43),f11(f4(f23(c42,f9(f20(c37)))),c43)) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_54,negated_conjecture, % 112.68/112.71 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ). % 112.68/112.71 % 112.68/112.71 cnf(not_p2_55,negated_conjecture, % 112.68/112.71 ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ). % 112.68/112.71 % 112.68/112.71 cnf(not_p2_56,negated_conjecture, % 112.68/112.71 ~ p2(f11(f4(f23(c46,f9(f20(c37)))),c47),f11(f4(c46),c47)) ). % 112.68/112.71 % 112.68/112.71 cnf(p10_57,negated_conjecture, % 112.68/112.71 ( p10(X0,c43) % 112.68/112.71 | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p12_58,negated_conjecture, % 112.68/112.71 ( p12(f13(X15,X16),f13(X17,X18)) % 112.68/112.71 | ~ p10(X15,X17) % 112.68/112.71 | ~ p2(X16,X18) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_59,negated_conjecture, % 112.68/112.71 ( p2(f23(X58,X59),f23(X60,X61)) % 112.68/112.71 | ~ p2(X58,X60) % 112.68/112.71 | ~ p2(X59,X61) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_60,negated_conjecture, % 112.68/112.71 ( p2(f19(X52,X53),f19(X54,X55)) % 112.68/112.71 | ~ p2(X52,X54) % 112.68/112.71 | ~ p2(X53,X55) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_61,negated_conjecture, % 112.68/112.71 ( p2(f11(X46,X47),f11(X48,X49)) % 112.68/112.71 | ~ p10(X47,X49) % 112.68/112.71 | ~ p3(X46,X48) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p17_62,negated_conjecture, % 112.68/112.71 ( p17(f22(X33,X34),f22(X35,X36)) % 112.68/112.71 | ~ p10(X34,X36) % 112.68/112.71 | ~ p21(X33,X35) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p14_63,negated_conjecture, % 112.68/112.71 ( p14(f15(X22,X23),f15(X24,X25)) % 112.68/112.71 | ~ p12(X23,X25) % 112.68/112.71 | ~ p7(X22,X24) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_64,negated_conjecture, % 112.68/112.71 p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ). % 112.68/112.71 % 112.68/112.71 cnf(p32_65,negated_conjecture, % 112.68/112.71 ( p32(f22(c34,X104),c43) % 112.68/112.71 | ~ p33(f11(f4(f5(c42)),X104),f11(f4(c42),X104)) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_66,negated_conjecture, % 112.68/112.71 ( p2(f11(f4(X51),c47),f11(f4(c46),c47)) % 112.68/112.71 | ~ p31(X51,c42) % 112.68/112.71 | ~ p31(c46,X51) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p2_67,negated_conjecture, % 112.68/112.71 ( p2(f11(f4(X50),c43),f11(f4(c44),c43)) % 112.68/112.71 | ~ p31(c44,X50) % 112.68/112.71 | ~ p31(X50,f5(c42)) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p10_68,negated_conjecture, % 112.68/112.71 ( p10(X1,X2) % 112.68/112.71 | p32(f22(c34,X1),X2) % 112.68/112.71 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ). % 112.68/112.71 % 112.68/112.71 cnf(not_p31_69,negated_conjecture, % 112.68/112.71 ( ~ p31(X95,c44) % 112.68/112.71 | ~ p31(X95,f5(c42)) % 112.68/112.71 | ~ p2(f11(f4(f24(X95)),c43),f11(f4(X95),c43)) ) ). % 112.68/112.71 % 112.68/112.71 cnf(p26_70,negated_conjecture, % 112.68/112.71 ( p26(X73,X74,X75) % 112.68/112.71 | ~ p3(X78,X75) % 112.68/112.71 | ~ p3(X77,X74) % 112.68/112.71 | ~ p21(X76,X73) % 112.68/112.72 | ~ p26(X76,X77,X78) ) ). % 112.68/112.72 % 112.68/112.72 cnf(p10_71,negated_conjecture, % 112.68/112.72 ( p10(X8,X9) % 112.68/112.72 | ~ p2(f11(f4(X10),X8),f9(c37)) % 112.68/112.72 | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ). % 112.68/112.72 % 112.68/112.72 cnf(p2_72,negated_conjecture, % 112.68/112.72 ( p2(X37,X38) % 112.68/112.72 | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41)) % 112.68/112.72 | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ). % 112.68/112.72 % 112.68/112.72 cnf(p32_73,negated_conjecture, % 112.68/112.72 ( p32(f22(c34,X1),X2) % 112.68/112.72 | p31(f11(f4(X3),X2),f11(f4(X4),X2)) % 112.68/112.72 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ). % 112.68/112.72 % 112.68/112.72 %-------------------------------------------------------------------------- % 112.68/112.72 %------------------------------------------- % 112.68/112.72 % Proof found % 112.68/112.72 % SZS status Theorem for theBenchmark % 112.68/112.72 % SZS output start Proof % 112.68/112.72 %ClaNum:73(EqnAxiom:0) % 112.68/112.72 %VarNum:273(SingletonVarNum:132) % 112.68/112.72 %MaxLitNum:5 % 112.68/112.72 %MaxfuncDepth:5 % 112.68/112.72 %SharedTerms:66 % 112.68/112.72 %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 69 70 71 72 73 % 112.68/112.72 %singleGoalClaCount:30 % 112.68/112.72 [1]P1(a1) % 112.68/112.72 [2]P8(a2) % 112.68/112.72 [7]P2(a11,a14) % 112.68/112.72 [8]P14(a15,a12) % 112.68/112.72 [3]P12(f9(a4)) % 112.68/112.72 [4]P12(f9(a5)) % 112.68/112.72 [5]P9(f10(a6)) % 112.68/112.72 [6]P9(f10(a8)) % 112.68/112.72 [18]P14(a11,f20(a12)) % 112.68/112.72 [19]P14(a14,f20(a12)) % 112.68/112.72 [20]P15(f27(a3),a2) % 112.68/112.72 [21]P17(f21(a1,a13),a16) % 112.68/112.72 [22]P14(f24(a11,f28(f22(a7))),a14) % 112.68/112.72 [24]P14(f17(f25(f20(a12)),a13),f17(f25(a12),a13)) % 112.68/112.72 [25]P2(f17(f25(a15),a16),f23(f17(f25(a12),a16),f28(f22(a7)))) % 112.68/112.72 [26]P2(f23(f17(f25(f20(a12)),a13),f28(f22(a7))),f17(f25(a12),a13)) % 112.68/112.72 [27]P18(f17(f25(a12),a13),f17(f25(f24(a12,f28(f22(a7)))),a13)) % 112.68/112.72 [28]P2(f17(f25(f24(a11,f28(f22(a7)))),a13),f17(f25(a11),a13)) % 112.68/112.72 [29]~P2(f17(f25(a14),a13),f17(f25(f24(a11,f28(f22(a7)))),a13)) % 112.68/112.72 [30]~P2(f17(f25(f24(a15,f28(f22(a7)))),a16),f17(f25(a15),a16)) % 112.68/112.72 [9]P3(x91,x91) % 112.68/112.72 [10]P15(x101,x101) % 112.68/112.72 [11]P16(x111,x111) % 112.68/112.72 [12]P13(x121,x121) % 112.68/112.72 [13]P7(x131,x131) % 112.68/112.72 [14]P2(x141,x141) % 112.68/112.72 [15]P4(x151,x151) % 112.68/112.72 [16]P5(x161,x161) % 112.68/112.72 [17]P6(x171,x171) % 112.68/112.72 [23]P10(a1,f25(f20(x231)),f25(x231)) % 112.68/112.72 [66]P3(x661,a13)+~P14(f17(f25(f20(a12)),x661),f17(f25(a12),x661)) % 112.68/112.72 [67]P17(f21(a1,x671),a13)+~P18(f17(f25(f20(a12)),x671),f17(f25(a12),x671)) % 112.68/112.72 [35]~P16(x351,x352)+P15(f27(x351),f27(x352)) % 112.68/112.72 [36]~P2(x361,x362)+P13(f25(x361),f25(x362)) % 112.68/112.72 [37]~P2(x371,x372)+P2(f20(x371),f20(x372)) % 112.68/112.72 [38]~P2(x381,x382)+P2(f22(x381),f22(x382)) % 112.68/112.72 [39]~P2(x391,x392)+P2(f28(x391),f28(x392)) % 112.68/112.72 [40]~P2(x401,x402)+P2(f26(x401),f26(x402)) % 112.68/112.72 [41]~P4(x411,x412)+P4(f9(x411),f9(x412)) % 112.68/112.72 [42]~P5(x421,x422)+P5(f10(x421),f10(x422)) % 112.68/112.72 [52]~P14(x521,a11)+P14(x521,f26(x521))+~P14(x521,f20(a12)) % 112.68/112.72 [53]~P14(x531,a11)+~P14(x531,f20(a12))+P14(f26(x531),f20(a12)) % 112.68/112.72 [64]~P14(x641,a12)+~P14(a15,x641)+P2(f17(f25(x641),a16),f17(f25(a15),a16)) % 112.68/112.72 [65]~P14(a11,x651)+~P14(x651,f20(a12))+P2(f17(f25(x651),a13),f17(f25(a11),a13)) % 112.68/112.72 [69]~P14(x691,a11)+~P14(x691,f20(a12))+~P2(f17(f25(f26(x691)),a13),f17(f25(x691),a13)) % 112.68/112.72 [31]~P7(x312,x311)+P1(x311)+~P1(x312) % 112.68/112.72 [32]~P15(x322,x321)+P8(x321)+~P8(x322) % 112.68/112.72 [33]~P4(x332,x331)+P12(x331)+~P12(x332) % 112.68/112.72 [34]~P5(x342,x341)+P9(x341)+~P9(x342) % 112.68/112.72 [43]~P3(x433,x431)+P3(x431,x432)+~P3(x433,x432) % 112.68/112.72 [44]~P15(x443,x441)+P15(x441,x442)+~P15(x443,x442) % 112.68/112.72 [45]~P16(x453,x451)+P16(x451,x452)+~P16(x453,x452) % 112.68/112.72 [46]~P13(x463,x461)+P13(x461,x462)+~P13(x463,x462) % 112.68/112.72 [47]~P7(x473,x471)+P7(x471,x472)+~P7(x473,x472) % 112.68/112.72 [48]~P2(x483,x481)+P2(x481,x482)+~P2(x483,x482) % 112.68/112.72 [49]~P4(x493,x491)+P4(x491,x492)+~P4(x493,x492) % 112.68/112.72 [50]~P5(x503,x501)+P5(x501,x502)+~P5(x503,x502) % 112.68/112.72 [51]~P6(x513,x511)+P6(x511,x512)+~P6(x513,x512) % 112.68/112.72 [58]~P2(x582,x584)+~P2(x581,x583)+P2(f24(x581,x582),f24(x583,x584)) % 112.68/112.72 [59]~P3(x592,x594)+~P13(x591,x593)+P2(f17(x591,x592),f17(x593,x594)) % 112.68/112.72 [60]~P2(x602,x604)+~P2(x601,x603)+P2(f23(x601,x602),f23(x603,x604)) % 112.68/112.72 [61]~P3(x612,x614)+~P7(x611,x613)+P4(f21(x611,x612),f21(x613,x614)) % 112.68/112.72 [62]~P15(x621,x623)+~P6(x622,x624)+P5(f18(x621,x622),f18(x623,x624)) % 112.68/112.72 [63]~P3(x631,x633)+~P2(x632,x634)+P6(f19(x631,x632),f19(x633,x634)) % 112.68/112.72 [70]P3(x701,x702)+P17(f21(a1,x701),x702)+~P11(f18(a2,f19(x701,x703)),f19(x702,x704)) % 112.68/112.72 [71]P3(x711,x712)+~P11(f18(a2,f19(x711,x713)),f19(x712,x714))+~P2(f17(f25(x713),x711),f28(a7)) % 112.68/112.72 [72]P17(f21(a1,x721),x722)+P14(f17(f25(x723),x722),f17(f25(x724),x722))+~P11(f18(a2,f19(x721,x723)),f19(x722,x724)) % 112.68/112.72 [73]P2(x731,x732)+~P11(f18(a2,f19(x733,x732)),f19(x734,x735))+~P11(f18(a2,f19(x736,x731)),f19(x734,x735)) % 112.68/112.72 [54]~P14(x543,x544)+P14(x541,x542)+~P2(x543,x541)+~P2(x544,x542) % 112.68/112.72 [55]~P17(x554,x553)+P17(x551,x552)+~P3(x553,x552)+~P4(x554,x551) % 112.68/112.72 [56]~P18(x563,x564)+P18(x561,x562)+~P2(x563,x561)+~P2(x564,x562) % 112.68/112.72 [57]~P11(x573,x574)+P11(x571,x572)+~P5(x573,x571)+~P6(x574,x572) % 112.68/112.72 [68]~P10(x686,x684,x685)+P10(x681,x682,x683)+~P13(x684,x682)+~P13(x685,x683)+~P7(x686,x681) % 112.68/112.72 %EqnAxiom % 112.68/112.72 % 112.68/112.72 %------------------------------------------- % 112.68/112.72 cnf(88,plain, % 112.68/112.72 (P2(a14,a11)), % 112.68/112.72 inference(scs_inference,[],[7,14,48])). % 112.68/112.72 cnf(91,plain, % 112.68/112.72 (~P13(f25(a14),f25(f24(a11,f28(f22(a7)))))), % 112.68/112.72 inference(scs_inference,[],[7,29,9,14,48,59])). % 112.68/112.72 cnf(177,plain, % 112.68/112.72 (P15(a2,f27(a3))), % 112.68/112.72 inference(scs_inference,[],[20,10,44])). % 112.68/112.72 cnf(185,plain, % 112.68/112.72 (P2(f28(f26(a14)),f28(f26(a11)))), % 112.68/112.72 inference(scs_inference,[],[88,39,40])). % 112.68/112.72 cnf(191,plain, % 112.68/112.72 (P5(f10(f18(a2,x1911)),f10(f18(f27(a3),x1911)))), % 112.68/112.72 inference(scs_inference,[],[177,17,42,62])). % 112.68/112.72 cnf(192,plain, % 112.68/112.72 (P5(f10(f18(f27(a3),x1921)),f10(f18(a2,x1921)))), % 112.68/112.72 inference(scs_inference,[],[191,16,50])). % 112.68/112.72 cnf(481,plain, % 112.68/112.72 (P2(f20(f28(a14)),f20(f28(a11)))), % 112.68/112.72 inference(scs_inference,[],[88,37,39])). % 112.68/112.72 cnf(1611,plain, % 112.68/112.72 (P5(f10(f10(f18(a2,x16111))),f10(f10(f18(f27(a3),x16111))))), % 112.68/112.72 inference(scs_inference,[],[28,191,37,38,39,40,42])). % 112.68/112.72 cnf(1615,plain, % 112.68/112.72 (P2(f24(f20(f28(a14)),f20(f28(a14))),f24(f20(f28(a11)),f20(f28(a11))))), % 112.68/112.72 inference(scs_inference,[],[28,481,191,37,38,39,40,42,36,58])). % 112.68/112.72 cnf(1644,plain, % 112.68/112.72 (P2(f24(f28(f26(a14)),f28(f26(a14))),f24(f28(f26(a11)),f28(f26(a11))))), % 112.68/112.72 inference(scs_inference,[],[1615,1611,185,9,39,40,37,38,42,36,63,58])). % 112.68/112.72 cnf(1646,plain, % 112.68/112.72 (P2(f23(f28(f26(a14)),f28(f26(a14))),f23(f28(f26(a11)),f28(f26(a11))))), % 112.68/112.72 inference(scs_inference,[],[1615,1611,185,9,39,40,37,38,42,36,63,58,60])). % 112.68/112.72 cnf(1665,plain, % 112.68/112.72 (P5(f10(f10(f18(f27(a3),x16651))),f10(f10(f18(a2,x16651))))), % 112.68/112.72 inference(scs_inference,[],[1644,192,37,39,36,38,40,42])). % 112.68/112.72 cnf(1693,plain, % 112.68/112.72 (P2(f23(a11,a11),f23(a14,a14))), % 112.68/112.72 inference(scs_inference,[],[1646,1665,7,9,36,37,39,42,38,40,63,58,60])). % 112.68/112.72 cnf(4682,plain, % 112.68/112.72 (P2(f28(f23(a11,a11)),f28(f23(a14,a14)))), % 112.68/112.72 inference(scs_inference,[],[1693,36,40,37,38,39])). % 112.68/112.72 cnf(4825,plain, % 112.68/112.72 (P2(f28(a11),f28(a14))), % 112.68/112.72 inference(scs_inference,[],[7,39])). % 112.68/112.72 cnf(4829,plain, % 112.68/112.72 (P2(f26(a11),f26(a14))), % 112.68/112.72 inference(scs_inference,[],[7,39,36,40])). % 112.68/112.72 cnf(4845,plain, % 112.68/112.72 (~P2(f17(f25(a11),a13),f17(f25(f24(a11,f28(f22(a7)))),a13))), % 112.68/112.72 inference(scs_inference,[],[7,4682,91,29,9,39,36,40,37,38,59,60,63,58,46,48])). % 112.68/112.72 cnf(4867,plain, % 112.68/112.72 ($false), % 112.68/112.72 inference(scs_inference,[],[4825,4829,4845,28,14,39,36,40,37,38,48]), % 112.68/112.72 ['proof']). % 112.68/112.72 % SZS output end Proof % 112.68/112.72 % Total time :112.000000s %------------------------------------------------------------------------------