%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN696-1 : 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 : n020.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 181.04s 180.98s % Output : CNFRefutation 181.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN696-1 : TPTP v8.2.0. Released v2.5.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n020.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 : Mon Jun 24 00:09:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.18/0.55 start to proof:theBenchmark % 180.93/180.96 %------------------------------------------- % 180.93/180.96 % File :CSE---1.7 % 180.93/180.96 % Problem :theBenchmark % 180.93/180.96 % Transform :cnf % 180.93/180.96 % Format :tptp:raw % 180.93/180.96 % Command :java -jar mcs_scs.jar %d %s % 180.93/180.96 % 180.93/180.96 % Result :Theorem 180.370000s % 180.93/180.96 % Output :CNFRefutation 180.370000s % 180.93/180.96 %------------------------------------------- % 180.93/180.97 %-------------------------------------------------------------------------- % 180.93/180.97 % File : SYN696-1 : TPTP v8.2.0. Released v2.5.0. % 180.93/180.97 % Domain : Syntactic % 180.93/180.97 % Problem : Harrison problem 4646 % 180.93/180.97 % Version : Especial. % 180.93/180.97 % English : % 180.93/180.97 % 180.93/180.97 % Refs : [Har01] Email to G. Sutcliffe % 180.93/180.97 % Source : [Har01] % 180.93/180.97 % Names : % 180.93/180.97 % 180.93/180.97 % Status : Unsatisfiable % 180.93/180.97 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.4.0, 0.17 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, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.29 v4.1.0, 0.25 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0 % 180.93/180.97 % Syntax : Number of clauses : 73 ( 30 unt; 2 nHn; 63 RR) % 180.93/180.97 % Number of literals : 155 ( 0 equ; 82 neg) % 180.93/180.97 % Maximal clause size : 5 ( 2 avg) % 180.93/180.97 % Maximal term depth : 6 ( 1 avg) % 180.93/180.97 % Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty) % 180.93/180.97 % Number of functors : 28 ( 28 usr; 14 con; 0-2 aty) % 180.93/180.97 % Number of variables : 132 ( 5 sgn) % 180.93/180.97 % SPC : CNF_UNS_RFO_NEQ_NHN % 180.93/180.97 % 180.93/180.97 % Comments : % 180.93/180.97 %-------------------------------------------------------------------------- % 180.93/180.97 cnf(c34_is_p25_1,negated_conjecture, % 180.93/180.97 p25(c34) ). % 180.93/180.97 % 180.93/180.97 cnf(c36_is_p29_2,negated_conjecture, % 180.93/180.97 p29(c36) ). % 180.93/180.97 % 180.93/180.97 cnf(f18_is_p30_3,negated_conjecture, % 180.93/180.97 p30(f18(c41)) ). % 180.93/180.97 % 180.93/180.97 cnf(f16_is_p28_4,negated_conjecture, % 180.93/180.97 p28(f16(c38)) ). % 180.93/180.97 % 180.93/180.97 cnf(f16_is_p28_5,negated_conjecture, % 180.93/180.97 p28(f16(c39)) ). % 180.93/180.97 % 180.93/180.97 cnf(f18_is_p30_6,negated_conjecture, % 180.93/180.97 p30(f18(c40)) ). % 180.93/180.97 % 180.93/180.97 cnf(p10_7,negated_conjecture, % 180.93/180.97 p10(X5,X5) ). % 180.93/180.97 % 180.93/180.97 cnf(p7_8,negated_conjecture, % 180.93/180.97 p7(X112,X112) ). % 180.93/180.97 % 180.93/180.97 cnf(p6_9,negated_conjecture, % 180.93/180.97 p6(X109,X109) ). % 180.93/180.97 % 180.93/180.97 cnf(p3_10,negated_conjecture, % 180.93/180.97 p3(X88,X88) ). % 180.93/180.97 % 180.93/180.97 cnf(p21_11,negated_conjecture, % 180.93/180.97 p21(X68,X68) ). % 180.93/180.97 % 180.93/180.97 cnf(p2_12,negated_conjecture, % 180.93/180.97 p2(X43,X43) ). % 180.93/180.97 % 180.93/180.97 cnf(p17_13,negated_conjecture, % 180.93/180.97 p17(X28,X28) ). % 180.93/180.97 % 180.93/180.97 cnf(p14_14,negated_conjecture, % 180.93/180.97 p14(X19,X19) ). % 180.93/180.97 % 180.93/180.97 cnf(p12_15,negated_conjecture, % 180.93/180.97 p12(X12,X12) ). % 180.93/180.97 % 180.93/180.97 cnf(p2_16,negated_conjecture, % 180.93/180.97 p2(c44,c45) ). % 180.93/180.97 % 180.93/180.97 cnf(p31_17,negated_conjecture, % 180.93/180.97 p31(c46,c42) ). % 180.93/180.97 % 180.93/180.97 cnf(p31_18,negated_conjecture, % 180.93/180.97 p31(c45,f5(c42)) ). % 180.93/180.97 % 180.93/180.97 cnf(p2_19,negated_conjecture, % 180.93/180.97 p2(c46,f9(c37)) ). % 180.93/180.97 % 180.93/180.97 cnf(p31_20,negated_conjecture, % 180.93/180.97 p31(c44,f5(c42)) ). % 180.93/180.97 % 180.93/180.97 cnf(p7_21,negated_conjecture, % 180.93/180.97 p7(f8(c35),c36) ). % 180.93/180.97 % 180.93/180.97 cnf(p32_22,negated_conjecture, % 180.93/180.97 p32(f22(c34,c43),c47) ). % 180.93/180.97 % 180.93/180.97 cnf(p31_23,negated_conjecture, % 180.93/180.97 p31(f23(c44,f9(f20(c37))),c45) ). % 180.93/180.97 % 180.93/180.97 cnf(p26_24,negated_conjecture, % 180.93/180.97 p26(c34,f4(f5(X79)),f4(X79)) ). % 180.93/180.97 % 180.93/180.97 cnf(p25_25,negated_conjecture, % 180.93/180.97 ( p25(X71) % 180.93/180.97 | ~ p25(X72) % 180.93/180.97 | ~ p21(X72,X71) ) ). % 180.93/180.97 % 180.93/180.97 cnf(p30_26,negated_conjecture, % 180.93/180.97 ( p30(X93) % 180.93/180.97 | ~ p30(X94) % 180.93/180.97 | ~ p17(X94,X93) ) ). % 180.93/180.97 % 180.93/180.97 cnf(p29_27,negated_conjecture, % 180.93/180.97 ( p29(X86) % 180.93/180.97 | ~ p29(X87) % 180.93/180.97 | ~ p7(X87,X86) ) ). % 180.93/180.97 % 180.93/180.97 cnf(p28_28,negated_conjecture, % 180.93/180.97 ( p28(X84) % 180.93/180.98 | ~ p28(X85) % 180.93/180.98 | ~ p14(X85,X84) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p7_29,negated_conjecture, % 180.93/180.98 ( p7(f8(X115),f8(X116)) % 180.93/180.98 | ~ p6(X115,X116) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p14_30,negated_conjecture, % 180.93/180.98 ( p14(f16(X26),f16(X27)) % 180.93/180.98 | ~ p14(X26,X27) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p17_31,negated_conjecture, % 180.93/180.98 ( p17(f18(X31),f18(X32)) % 180.93/180.98 | ~ p17(X31,X32) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_32,negated_conjecture, % 180.93/180.98 ( p2(f20(X56),f20(X57)) % 180.93/180.98 | ~ p2(X56,X57) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_33,negated_conjecture, % 180.93/180.98 ( p2(f24(X62),f24(X63)) % 180.93/180.98 | ~ p2(X62,X63) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_34,negated_conjecture, % 180.93/180.98 ( p2(f5(X64),f5(X65)) % 180.93/180.98 | ~ p2(X64,X65) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_35,negated_conjecture, % 180.93/180.98 ( p2(f9(X66),f9(X67)) % 180.93/180.98 | ~ p2(X66,X67) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p3_36,negated_conjecture, % 180.93/180.98 ( p3(f4(X91),f4(X92)) % 180.93/180.98 | ~ p2(X91,X92) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p10_37,negated_conjecture, % 180.93/180.98 ( p10(X6,X7) % 180.93/180.98 | ~ p10(X5,X6) % 180.93/180.98 | ~ p10(X5,X7) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p7_38,negated_conjecture, % 180.93/180.98 ( p7(X113,X114) % 180.93/180.98 | ~ p7(X112,X113) % 180.93/180.98 | ~ p7(X112,X114) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p6_39,negated_conjecture, % 180.93/180.98 ( p6(X110,X111) % 180.93/180.98 | ~ p6(X109,X110) % 180.93/180.98 | ~ p6(X109,X111) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p3_40,negated_conjecture, % 180.93/180.98 ( p3(X89,X90) % 180.93/180.98 | ~ p3(X88,X89) % 180.93/180.98 | ~ p3(X88,X90) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p21_41,negated_conjecture, % 180.93/180.98 ( p21(X69,X70) % 180.93/180.98 | ~ p21(X68,X69) % 180.93/180.98 | ~ p21(X68,X70) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_42,negated_conjecture, % 180.93/180.98 ( p2(X44,X45) % 180.93/180.98 | ~ p2(X43,X44) % 180.93/180.98 | ~ p2(X43,X45) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p17_43,negated_conjecture, % 180.93/180.98 ( p17(X29,X30) % 180.93/180.98 | ~ p17(X28,X29) % 180.93/180.98 | ~ p17(X28,X30) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p14_44,negated_conjecture, % 180.93/180.98 ( p14(X20,X21) % 180.93/180.98 | ~ p14(X19,X20) % 180.93/180.98 | ~ p14(X19,X21) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p12_45,negated_conjecture, % 180.93/180.98 ( p12(X13,X14) % 180.93/180.98 | ~ p12(X12,X13) % 180.93/180.98 | ~ p12(X12,X14) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p31_46,negated_conjecture, % 180.93/180.98 p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)) ). % 180.93/180.98 % 180.93/180.98 cnf(p31_47,negated_conjecture, % 180.93/180.98 ( p31(X95,f24(X95)) % 180.93/180.98 | ~ p31(X95,c44) % 180.93/180.98 | ~ p31(X95,f5(c42)) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p31_48,negated_conjecture, % 180.93/180.98 ( p31(f24(X95),f5(c42)) % 180.93/180.98 | ~ p31(X95,c44) % 180.93/180.98 | ~ p31(X95,f5(c42)) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p33_49,negated_conjecture, % 180.93/180.98 ( p33(X105,X106) % 180.93/180.98 | ~ p2(X108,X106) % 180.93/180.98 | ~ p33(X107,X108) % 180.93/180.98 | ~ p2(X107,X105) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p27_50,negated_conjecture, % 180.93/180.98 ( p27(X80,X81) % 180.93/180.98 | ~ p14(X83,X80) % 180.93/180.98 | ~ p27(X83,X82) % 180.93/180.98 | ~ p12(X82,X81) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p31_51,negated_conjecture, % 180.93/180.98 ( p31(X96,X97) % 180.93/180.98 | ~ p2(X99,X97) % 180.93/180.98 | ~ p31(X98,X99) % 180.93/180.98 | ~ p2(X98,X96) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p32_52,negated_conjecture, % 180.93/180.98 ( p32(X100,X101) % 180.93/180.98 | ~ p17(X103,X100) % 180.93/180.98 | ~ p32(X103,X102) % 180.93/180.98 | ~ p10(X102,X101) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_53,negated_conjecture, % 180.93/180.98 p2(f11(f4(c46),c47),f19(f11(f4(c42),c47),f9(f20(c37)))) ). % 180.93/180.98 % 180.93/180.98 cnf(p33_54,negated_conjecture, % 180.93/180.98 p33(f11(f4(c42),c43),f11(f4(f23(c42,f9(f20(c37)))),c43)) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_55,negated_conjecture, % 180.93/180.98 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ). % 180.93/180.98 % 180.93/180.98 cnf(not_p2_56,negated_conjecture, % 180.93/180.98 ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ). % 180.93/180.98 % 180.93/180.98 cnf(p10_57,negated_conjecture, % 180.93/180.98 ( p10(X0,c43) % 180.93/180.98 | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p12_58,negated_conjecture, % 180.93/180.98 ( p12(f13(X15,X16),f13(X17,X18)) % 180.93/180.98 | ~ p10(X15,X17) % 180.93/180.98 | ~ p2(X16,X18) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_59,negated_conjecture, % 180.93/180.98 ( p2(f23(X58,X59),f23(X60,X61)) % 180.93/180.98 | ~ p2(X58,X60) % 180.93/180.98 | ~ p2(X59,X61) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_60,negated_conjecture, % 180.93/180.98 ( p2(f19(X52,X53),f19(X54,X55)) % 180.93/180.98 | ~ p2(X52,X54) % 180.93/180.98 | ~ p2(X53,X55) ) ). % 180.93/180.98 % 180.93/180.98 cnf(p2_61,negated_conjecture, % 180.93/180.98 ( p2(f11(X46,X47),f11(X48,X49)) % 180.93/180.98 | ~ p10(X47,X49) % 180.93/180.98 | ~ p3(X46,X48) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p17_62,negated_conjecture, % 181.04/180.98 ( p17(f22(X33,X34),f22(X35,X36)) % 181.04/180.98 | ~ p10(X34,X36) % 181.04/180.98 | ~ p21(X33,X35) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p14_63,negated_conjecture, % 181.04/180.98 ( p14(f15(X22,X23),f15(X24,X25)) % 181.04/180.98 | ~ p12(X23,X25) % 181.04/180.98 | ~ p7(X22,X24) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p2_64,negated_conjecture, % 181.04/180.98 p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ). % 181.04/180.98 % 181.04/180.98 cnf(p32_65,negated_conjecture, % 181.04/180.98 ( p32(f22(c34,X104),c43) % 181.04/180.98 | ~ p33(f11(f4(f5(c42)),X104),f11(f4(c42),X104)) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p2_66,negated_conjecture, % 181.04/180.98 ( p2(f11(f4(X51),c47),f11(f4(c46),c47)) % 181.04/180.98 | ~ p31(X51,c42) % 181.04/180.98 | ~ p31(c46,X51) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p2_67,negated_conjecture, % 181.04/180.98 ( p2(f11(f4(X50),c43),f11(f4(c44),c43)) % 181.04/180.98 | ~ p31(c44,X50) % 181.04/180.98 | ~ p31(X50,f5(c42)) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p10_68,negated_conjecture, % 181.04/180.98 ( p10(X1,X2) % 181.04/180.98 | p32(f22(c34,X1),X2) % 181.04/180.98 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ). % 181.04/180.98 % 181.04/180.98 cnf(not_p31_69,negated_conjecture, % 181.04/180.98 ( ~ p31(X95,c44) % 181.04/180.98 | ~ p31(X95,f5(c42)) % 181.04/180.98 | ~ p2(f11(f4(f24(X95)),c43),f11(f4(X95),c43)) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p26_70,negated_conjecture, % 181.04/180.98 ( p26(X73,X74,X75) % 181.04/180.98 | ~ p3(X78,X75) % 181.04/180.98 | ~ p3(X77,X74) % 181.04/180.98 | ~ p21(X76,X73) % 181.04/180.98 | ~ p26(X76,X77,X78) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p10_71,negated_conjecture, % 181.04/180.98 ( p10(X8,X9) % 181.04/180.98 | ~ p2(f11(f4(X10),X8),f9(c37)) % 181.04/180.98 | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p2_72,negated_conjecture, % 181.04/180.98 ( p2(X37,X38) % 181.04/180.98 | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41)) % 181.04/180.98 | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ). % 181.04/180.98 % 181.04/180.98 cnf(p32_73,negated_conjecture, % 181.04/180.98 ( p32(f22(c34,X1),X2) % 181.04/180.98 | p31(f11(f4(X3),X2),f11(f4(X4),X2)) % 181.04/180.98 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ). % 181.04/180.98 % 181.04/180.98 %-------------------------------------------------------------------------- % 181.04/180.98 %------------------------------------------- % 181.04/180.98 % Proof found % 181.04/180.98 % SZS status Theorem for theBenchmark % 181.04/180.98 % SZS output start Proof % 181.04/180.98 %ClaNum:73(EqnAxiom:0) % 181.04/180.98 %VarNum:273(SingletonVarNum:132) % 181.04/180.98 %MaxLitNum:5 % 181.04/180.98 %MaxfuncDepth:5 % 181.04/180.98 %SharedTerms:63 % 181.04/180.98 %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 % 181.04/180.98 %singleGoalClaCount:30 % 181.04/180.98 [1]P1(a1) % 181.04/180.98 [2]P8(a2) % 181.04/180.98 [7]P2(a11,a14) % 181.04/180.98 [8]P14(a15,a12) % 181.04/180.98 [3]P12(f9(a4)) % 181.04/180.98 [4]P12(f9(a5)) % 181.04/180.98 [5]P9(f10(a6)) % 181.04/180.98 [6]P9(f10(a8)) % 181.04/180.98 [18]P2(a15,f20(a7)) % 181.04/180.98 [19]P14(a11,f21(a12)) % 181.04/180.98 [20]P14(a14,f21(a12)) % 181.04/180.98 [21]P15(f28(a3),a2) % 181.04/180.98 [22]P17(f22(a1,a13),a16) % 181.04/180.98 [23]P14(f25(a11,f20(f23(a7))),a14) % 181.04/180.98 [25]P14(f17(f26(f21(a12)),a13),f17(f26(a12),a13)) % 181.04/180.98 [26]P2(f17(f26(a15),a16),f24(f17(f26(a12),a16),f20(f23(a7)))) % 181.04/180.98 [27]P2(f24(f17(f26(f21(a12)),a13),f20(f23(a7))),f17(f26(a12),a13)) % 181.04/180.98 [28]P18(f17(f26(a12),a13),f17(f26(f25(a12,f20(f23(a7)))),a13)) % 181.04/180.98 [29]P2(f17(f26(f25(a11,f20(f23(a7)))),a13),f17(f26(a11),a13)) % 181.04/180.98 [30]~P2(f17(f26(a14),a13),f17(f26(f25(a11,f20(f23(a7)))),a13)) % 181.04/180.98 [9]P3(x91,x91) % 181.04/180.98 [10]P15(x101,x101) % 181.04/180.98 [11]P16(x111,x111) % 181.04/180.98 [12]P13(x121,x121) % 181.04/180.98 [13]P7(x131,x131) % 181.04/180.98 [14]P2(x141,x141) % 181.04/180.98 [15]P4(x151,x151) % 181.04/180.98 [16]P5(x161,x161) % 181.04/180.98 [17]P6(x171,x171) % 181.04/180.98 [24]P10(a1,f26(f21(x241)),f26(x241)) % 181.04/180.98 [66]P3(x661,a13)+~P14(f17(f26(f21(a12)),x661),f17(f26(a12),x661)) % 181.04/180.98 [67]P17(f22(a1,x671),a13)+~P18(f17(f26(f21(a12)),x671),f17(f26(a12),x671)) % 181.04/180.98 [35]~P16(x351,x352)+P15(f28(x351),f28(x352)) % 181.04/180.98 [36]~P2(x361,x362)+P13(f26(x361),f26(x362)) % 181.04/180.98 [37]~P2(x371,x372)+P2(f21(x371),f21(x372)) % 181.04/180.98 [38]~P2(x381,x382)+P2(f20(x381),f20(x382)) % 181.04/180.98 [39]~P2(x391,x392)+P2(f23(x391),f23(x392)) % 181.04/180.98 [40]~P2(x401,x402)+P2(f27(x401),f27(x402)) % 181.04/180.98 [41]~P4(x411,x412)+P4(f9(x411),f9(x412)) % 181.04/180.98 [42]~P5(x421,x422)+P5(f10(x421),f10(x422)) % 181.04/180.98 [52]~P14(x521,a11)+P14(x521,f27(x521))+~P14(x521,f21(a12)) % 181.04/180.98 [53]~P14(x531,a11)+~P14(x531,f21(a12))+P14(f27(x531),f21(a12)) % 181.04/180.98 [64]~P14(x641,a12)+~P14(a15,x641)+P2(f17(f26(x641),a16),f17(f26(a15),a16)) % 181.04/180.98 [65]~P14(a11,x651)+~P14(x651,f21(a12))+P2(f17(f26(x651),a13),f17(f26(a11),a13)) % 181.04/180.98 [69]~P14(x691,a11)+~P14(x691,f21(a12))+~P2(f17(f26(f27(x691)),a13),f17(f26(x691),a13)) % 181.04/180.98 [31]~P7(x312,x311)+P1(x311)+~P1(x312) % 181.04/180.98 [32]~P15(x322,x321)+P8(x321)+~P8(x322) % 181.04/180.98 [33]~P4(x332,x331)+P12(x331)+~P12(x332) % 181.04/180.98 [34]~P5(x342,x341)+P9(x341)+~P9(x342) % 181.04/180.98 [43]~P3(x433,x431)+P3(x431,x432)+~P3(x433,x432) % 181.04/180.98 [44]~P15(x443,x441)+P15(x441,x442)+~P15(x443,x442) % 181.04/180.98 [45]~P16(x453,x451)+P16(x451,x452)+~P16(x453,x452) % 181.04/180.98 [46]~P13(x463,x461)+P13(x461,x462)+~P13(x463,x462) % 181.04/180.98 [47]~P7(x473,x471)+P7(x471,x472)+~P7(x473,x472) % 181.04/180.98 [48]~P2(x483,x481)+P2(x481,x482)+~P2(x483,x482) % 181.04/180.98 [49]~P4(x493,x491)+P4(x491,x492)+~P4(x493,x492) % 181.04/180.98 [50]~P5(x503,x501)+P5(x501,x502)+~P5(x503,x502) % 181.04/180.98 [51]~P6(x513,x511)+P6(x511,x512)+~P6(x513,x512) % 181.04/180.98 [58]~P2(x582,x584)+~P2(x581,x583)+P2(f25(x581,x582),f25(x583,x584)) % 181.04/180.98 [59]~P3(x592,x594)+~P13(x591,x593)+P2(f17(x591,x592),f17(x593,x594)) % 181.04/180.98 [60]~P2(x602,x604)+~P2(x601,x603)+P2(f24(x601,x602),f24(x603,x604)) % 181.04/180.98 [61]~P3(x612,x614)+~P7(x611,x613)+P4(f22(x611,x612),f22(x613,x614)) % 181.04/180.98 [62]~P15(x621,x623)+~P6(x622,x624)+P5(f18(x621,x622),f18(x623,x624)) % 181.04/180.98 [63]~P3(x631,x633)+~P2(x632,x634)+P6(f19(x631,x632),f19(x633,x634)) % 181.04/180.98 [70]P3(x701,x702)+P17(f22(a1,x701),x702)+~P11(f18(a2,f19(x701,x703)),f19(x702,x704)) % 181.04/180.98 [71]P3(x711,x712)+~P11(f18(a2,f19(x711,x713)),f19(x712,x714))+~P2(f17(f26(x713),x711),f20(a7)) % 181.04/180.98 [72]P17(f22(a1,x721),x722)+P14(f17(f26(x723),x722),f17(f26(x724),x722))+~P11(f18(a2,f19(x721,x723)),f19(x722,x724)) % 181.04/180.98 [73]P2(x731,x732)+~P11(f18(a2,f19(x733,x732)),f19(x734,x735))+~P11(f18(a2,f19(x736,x731)),f19(x734,x735)) % 181.04/180.98 [54]~P14(x543,x544)+P14(x541,x542)+~P2(x543,x541)+~P2(x544,x542) % 181.04/180.98 [55]~P17(x554,x553)+P17(x551,x552)+~P3(x553,x552)+~P4(x554,x551) % 181.04/180.99 [56]~P18(x563,x564)+P18(x561,x562)+~P2(x563,x561)+~P2(x564,x562) % 181.04/180.99 [57]~P11(x573,x574)+P11(x571,x572)+~P5(x573,x571)+~P6(x574,x572) % 181.04/180.99 [68]~P10(x686,x684,x685)+P10(x681,x682,x683)+~P13(x684,x682)+~P13(x685,x683)+~P7(x686,x681) % 181.04/180.99 %EqnAxiom % 181.04/180.99 % 181.04/180.99 %------------------------------------------- % 181.04/180.99 cnf(86,plain, % 181.04/180.99 (P2(a14,a11)), % 181.04/180.99 inference(scs_inference,[],[7,14,48])). % 181.04/180.99 cnf(150,plain, % 181.04/180.99 (P2(f23(f27(a14)),f23(f27(a11)))), % 181.04/180.99 inference(scs_inference,[],[86,39,40])). % 181.04/180.99 cnf(156,plain, % 181.04/180.99 (P2(f20(a7),a15)), % 181.04/180.99 inference(scs_inference,[],[18,14,48])). % 181.04/180.99 cnf(193,plain, % 181.04/180.99 (P15(a2,f28(a3))), % 181.04/180.99 inference(scs_inference,[],[21,10,44])). % 181.04/180.99 cnf(232,plain, % 181.04/180.99 (P6(f19(a13,a14),f19(a13,a11))), % 181.04/180.99 inference(scs_inference,[],[25,86,66,63])). % 181.04/180.99 cnf(1216,plain, % 181.04/180.99 (P2(f27(f21(a14)),f27(f21(a11)))), % 181.04/180.99 inference(scs_inference,[],[86,40,37])). % 181.04/180.99 cnf(1810,plain, % 181.04/180.99 (P2(f25(a15,a15),f25(f20(a7),f20(a7)))), % 181.04/180.99 inference(scs_inference,[],[29,1216,18,40,38,37,39,36,58])). % 181.04/180.99 cnf(1814,plain, % 181.04/180.99 (P2(f24(a15,a15),f24(f20(a7),f20(a7)))), % 181.04/180.99 inference(scs_inference,[],[29,1216,18,9,40,38,37,39,36,58,63,60])). % 181.04/180.99 cnf(1818,plain, % 181.04/180.99 (P2(f27(f25(a15,a15)),f27(f25(f20(a7),f20(a7))))), % 181.04/180.99 inference(scs_inference,[],[1810,40])). % 181.04/180.99 cnf(1822,plain, % 181.04/180.99 (P13(f26(f25(a15,a15)),f26(f25(f20(a7),f20(a7))))), % 181.04/180.99 inference(scs_inference,[],[1810,40,37,36])). % 181.04/180.99 cnf(1830,plain, % 181.04/180.99 (P6(f19(x18301,f25(a15,a15)),f19(x18301,f25(f20(a7),f20(a7))))), % 181.04/180.99 inference(scs_inference,[],[1810,9,40,37,36,38,39,58,63])). % 181.04/180.99 cnf(1836,plain, % 181.04/180.99 (P5(f18(a2,f19(a13,a14)),f18(f28(a3),f19(a13,a11)))), % 181.04/180.99 inference(scs_inference,[],[1810,193,232,9,40,37,36,38,39,58,63,60,56,62])). % 181.04/180.99 cnf(1856,plain, % 181.04/180.99 (P2(f17(f26(f25(a15,a15)),x18561),f17(f26(f25(f20(a7),f20(a7))),x18561))), % 181.04/180.99 inference(scs_inference,[],[1836,1830,1818,1822,10,9,42,36,40,39,37,38,58,63,62,59])). % 181.04/180.99 cnf(2015,plain, % 181.04/180.99 (P2(f25(f24(a15,a15),f24(a15,a15)),f25(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7))))), % 181.04/180.99 inference(scs_inference,[],[1856,1814,40,38,36,39,37,58])). % 181.04/180.99 cnf(2031,plain, % 181.04/180.99 (P2(f21(f25(f24(a15,a15),f24(a15,a15))),f21(f25(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7)))))), % 181.04/180.99 inference(scs_inference,[],[2015,36,40,38,37])). % 181.04/180.99 cnf(2102,plain, % 181.04/180.99 (P2(f25(f20(a7),f20(a7)),f25(a15,a15))), % 181.04/180.99 inference(scs_inference,[],[2031,156,39,38,37,40,36,58])). % 181.04/180.99 cnf(2104,plain, % 181.04/180.99 (P2(f24(f20(a7),f20(a7)),f24(a15,a15))), % 181.04/180.99 inference(scs_inference,[],[2031,156,39,38,37,40,36,58,60])). % 181.04/180.99 cnf(2122,plain, % 181.04/180.99 (P2(f24(f25(f20(a7),f20(a7)),f25(f20(a7),f20(a7))),f24(f25(a15,a15),f25(a15,a15)))), % 181.04/180.99 inference(scs_inference,[],[2102,9,39,38,37,36,40,58,63,60])). % 181.04/180.99 cnf(2246,plain, % 181.04/180.99 (P2(f23(f24(f25(f20(a7),f20(a7)),f25(f20(a7),f20(a7)))),f23(f24(f25(a15,a15),f25(a15,a15))))), % 181.04/180.99 inference(scs_inference,[],[2122,39])). % 181.04/180.99 cnf(2274,plain, % 181.04/180.99 (P2(f25(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7))),f25(f24(a15,a15),f24(a15,a15)))), % 181.04/180.99 inference(scs_inference,[],[2246,2104,9,39,38,37,40,36,63,58])). % 181.04/180.99 cnf(2276,plain, % 181.04/180.99 (P2(f24(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7))),f24(f24(a15,a15),f24(a15,a15)))), % 181.04/180.99 inference(scs_inference,[],[2246,2104,9,39,38,37,40,36,63,58,60])). % 181.04/180.99 cnf(2295,plain, % 181.04/180.99 (P6(f19(x22951,f25(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7)))),f19(x22951,f25(f24(a15,a15),f24(a15,a15))))), % 181.04/180.99 inference(scs_inference,[],[2274,9,39,38,37,36,40,63])). % 181.04/180.99 cnf(2301,plain, % 181.04/180.99 (P2(f23(f24(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7)))),f23(f24(f24(a15,a15),f24(a15,a15))))), % 181.04/180.99 inference(scs_inference,[],[2276,39])). % 181.04/180.99 cnf(2309,plain, % 181.04/180.99 (P13(f26(f24(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7)))),f26(f24(f24(a15,a15),f24(a15,a15))))), % 181.04/180.99 inference(scs_inference,[],[2276,39,38,37,40,36])). % 181.04/180.99 cnf(2313,plain, % 181.04/180.99 (P6(f19(x23131,f24(f24(f20(a7),f20(a7)),f24(f20(a7),f20(a7)))),f19(x23131,f24(f24(a15,a15),f24(a15,a15))))), % 181.04/180.99 inference(scs_inference,[],[2276,2295,193,9,39,38,37,40,36,62,63])). % 181.04/180.99 cnf(2342,plain, % 181.04/180.99 (P2(f25(a11,a11),f25(a14,a14))), % 181.04/180.99 inference(scs_inference,[],[2313,2301,10,7,9,39,38,37,36,40,62,63,58])). % 181.04/180.99 cnf(2346,plain, % 181.04/180.99 (P2(f24(a11,a11),f24(a14,a14))), % 181.04/180.99 inference(scs_inference,[],[2313,2301,2309,10,7,9,39,38,37,36,40,62,63,58,59,60])). % 181.04/180.99 cnf(2355,plain, % 181.04/180.99 (P2(f23(f25(a11,a11)),f23(f25(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2342,39])). % 181.04/180.99 cnf(2357,plain, % 181.04/180.99 (P2(f20(f25(a11,a11)),f20(f25(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2342,39,38])). % 181.04/180.99 cnf(2359,plain, % 181.04/180.99 (P2(f21(f25(a11,a11)),f21(f25(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2342,39,38,37])). % 181.04/180.99 cnf(2363,plain, % 181.04/180.99 (P13(f26(f25(a11,a11)),f26(f25(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2342,39,38,37,40,36])). % 181.04/180.99 cnf(2365,plain, % 181.04/180.99 (P2(f25(f25(a11,a11),f25(a11,a11)),f25(f25(a14,a14),f25(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2342,39,38,37,40,36,58])). % 181.04/180.99 cnf(2367,plain, % 181.04/180.99 (P6(f19(x23671,f25(a11,a11)),f19(x23671,f25(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2342,9,39,38,37,40,36,58,63])). % 181.04/180.99 cnf(2369,plain, % 181.04/180.99 (P2(f24(f25(a11,a11),f25(a11,a11)),f24(f25(a14,a14),f25(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2342,9,39,38,37,40,36,58,63,60])). % 181.04/180.99 cnf(2371,plain, % 181.04/180.99 (P2(f23(f24(a11,a11)),f23(f24(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2346,39])). % 181.04/180.99 cnf(2373,plain, % 181.04/180.99 (P2(f20(f24(a11,a11)),f20(f24(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2346,39,38])). % 181.04/180.99 cnf(2383,plain, % 181.04/180.99 (P2(f25(f24(a11,a11),f24(a11,a11)),f25(f24(a14,a14),f24(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2346,2367,21,39,38,37,36,40,62,58])). % 181.04/180.99 cnf(2385,plain, % 181.04/180.99 (P6(f19(x23851,f24(a11,a11)),f19(x23851,f24(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2346,2367,21,9,39,38,37,36,40,62,58,63])). % 181.04/180.99 cnf(2389,plain, % 181.04/180.99 (P2(f24(f24(a11,a11),f24(a11,a11)),f24(f24(a14,a14),f24(a14,a14)))), % 181.04/180.99 inference(scs_inference,[],[2346,2367,2363,21,9,39,38,37,36,40,62,58,63,59,60])). % 181.04/180.99 cnf(2405,plain, % 181.04/180.99 (P2(f25(f24(f25(a11,a11),f25(a11,a11)),f24(f25(a11,a11),f25(a11,a11))),f25(f24(f25(a14,a14),f25(a14,a14)),f24(f25(a14,a14),f25(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2369,2385,193,39,38,37,40,36,62,58])). % 181.04/180.99 cnf(2537,plain, % 181.04/180.99 (P2(f25(f23(f25(a11,a11)),f23(f25(a11,a11))),f25(f23(f25(a14,a14)),f23(f25(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2405,2355,40,37,39,38,36,58])). % 181.04/180.99 cnf(2562,plain, % 181.04/180.99 (P2(f24(f20(f25(a11,a11)),f20(f25(a11,a11))),f24(f20(f25(a14,a14)),f20(f25(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2537,2357,9,39,36,38,40,37,58,63,60])). % 181.04/180.99 cnf(2578,plain, % 181.04/180.99 (P2(f24(f21(f25(a11,a11)),f21(f25(a11,a11))),f24(f21(f25(a14,a14)),f21(f25(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2562,2359,9,38,37,40,39,36,58,63,60])). % 181.04/180.99 cnf(2621,plain, % 181.04/180.99 (P2(f25(f25(f25(a11,a11),f25(a11,a11)),f25(f25(a11,a11),f25(a11,a11))),f25(f25(f25(a14,a14),f25(a14,a14)),f25(f25(a14,a14),f25(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2578,2365,36,38,37,40,39,58])). % 181.04/180.99 cnf(2643,plain, % 181.04/180.99 (P2(f24(f23(f24(a11,a11)),f23(f24(a11,a11))),f24(f23(f24(a14,a14)),f23(f24(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2621,2371,9,38,36,37,39,40,58,63,60])). % 181.04/180.99 cnf(2659,plain, % 181.04/180.99 (P2(f24(f20(f24(a11,a11)),f20(f24(a11,a11))),f24(f20(f24(a14,a14)),f20(f24(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2643,2373,9,36,38,37,40,39,58,63,60])). % 181.04/180.99 cnf(2717,plain, % 181.04/180.99 (P2(f25(f25(f24(a11,a11),f24(a11,a11)),f25(f24(a11,a11),f24(a11,a11))),f25(f25(f24(a14,a14),f24(a14,a14)),f25(f24(a14,a14),f24(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2659,2383,38,36,37,39,40,58])). % 181.04/180.99 cnf(2721,plain, % 181.04/180.99 (P2(f24(f25(f24(a11,a11),f24(a11,a11)),f25(f24(a11,a11),f24(a11,a11))),f24(f25(f24(a14,a14),f24(a14,a14)),f25(f24(a14,a14),f24(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2659,2383,9,38,36,37,39,40,58,63,60])). % 181.04/180.99 cnf(2741,plain, % 181.04/180.99 (P2(f24(f24(f24(a11,a11),f24(a11,a11)),f24(f24(a11,a11),f24(a11,a11))),f24(f24(f24(a14,a14),f24(a14,a14)),f24(f24(a14,a14),f24(a14,a14))))), % 181.04/180.99 inference(scs_inference,[],[2717,2389,9,36,38,37,40,39,58,63,60])). % 181.04/180.99 cnf(2775,plain, % 181.04/180.99 (P2(f25(f23(f27(a14)),f23(f27(a14))),f25(f23(f27(a11)),f23(f27(a11))))), % 181.04/180.99 inference(scs_inference,[],[2741,150,36,38,37,40,39,58])). % 181.04/180.99 cnf(2798,plain, % 181.04/180.99 (P2(f25(a14,a14),f25(a11,a11))), % 181.04/180.99 inference(scs_inference,[],[2775,2721,86,9,38,36,37,39,40,63,58])). % 181.04/180.99 cnf(4243,plain, % 181.04/180.99 (P2(f27(f25(a14,a14)),f27(f25(a11,a11)))), % 181.04/180.99 inference(scs_inference,[],[2798,40])). % 181.04/180.99 cnf(4249,plain, % 181.04/180.99 (P2(f23(f25(a14,a14)),f23(f25(a11,a11)))), % 181.04/180.99 inference(scs_inference,[],[2798,40,37,36,39])). % 181.04/180.99 cnf(4273,plain, % 181.04/180.99 (P6(f19(x42731,f27(f25(a14,a14))),f19(x42731,f27(f25(a11,a11))))), % 181.04/180.99 inference(scs_inference,[],[4243,9,40,37,36,39,38,63])). % 181.04/180.99 cnf(4286,plain, % 181.04/180.99 (P2(f21(f23(f25(a14,a14))),f21(f23(f25(a11,a11))))), % 181.04/180.99 inference(scs_inference,[],[4249,37])). % 181.04/180.99 cnf(4509,plain, % 181.04/180.99 (P13(f26(f21(f23(f25(a14,a14)))),f26(f21(f23(f25(a11,a11)))))), % 181.04/180.99 inference(scs_inference,[],[4286,40,36])). % 181.04/180.99 cnf(5237,plain, % 181.04/180.99 (P5(f10(f18(f28(a3),x52371)),f10(f18(a2,x52371)))), % 181.04/180.99 inference(scs_inference,[],[24,26,13,17,12,21,9,14,4509,62,63,58,60,40,36,37,39,38,68,42])). % 181.04/180.99 cnf(5264,plain, % 181.04/180.99 (P2(f17(f26(a11),x52641),f17(f26(a14),x52641))), % 181.04/180.99 inference(scs_inference,[],[26,21,7,9,14,5237,4273,42,58,40,63,36,60,38,62,39,37,59])). % 181.04/180.99 cnf(5268,plain, % 181.04/180.99 (~P2(f17(f26(a11),a13),f17(f26(f25(a11,f20(f23(a7)))),a13))), % 181.04/180.99 inference(scs_inference,[],[26,30,21,7,9,14,5237,4273,42,58,40,63,36,60,38,62,39,37,59,34,48])). % 181.04/180.99 cnf(5284,plain, % 181.04/180.99 ($false), % 181.04/180.99 inference(scs_inference,[],[29,18,14,5268,5264,40,36,58,60,48]), % 181.04/180.99 ['proof']). % 181.04/181.00 % SZS output end Proof % 181.04/181.00 % Total time :180.370000s %------------------------------------------------------------------------------