%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN690-1 : 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 : n027.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 18.19s 18.36s % Output : CNFRefutation 18.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYN690-1 : 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 % 0.08/0.29 % Computer : n027.cluster.edu % 0.08/0.29 % Model : x86_64 x86_64 % 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.29 % Memory : 8042.1875MB % 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.29 % CPULimit : 300 % 0.08/0.29 % WCLimit : 300 % 0.08/0.29 % DateTime : Sun Jun 23 23:52:09 EDT 2024 % 0.08/0.29 % CPUTime : % 0.14/0.52 start to proof:theBenchmark % 18.19/18.35 %------------------------------------------- % 18.19/18.35 % File :CSE---1.7 % 18.19/18.35 % Problem :theBenchmark % 18.19/18.35 % Transform :cnf % 18.19/18.35 % Format :tptp:raw % 18.19/18.35 % Command :java -jar mcs_scs.jar %d %s % 18.19/18.35 % 18.19/18.35 % Result :Theorem 17.750000s % 18.19/18.35 % Output :CNFRefutation 17.750000s % 18.19/18.35 %------------------------------------------- % 18.19/18.35 %-------------------------------------------------------------------------- % 18.19/18.36 % File : SYN690-1 : TPTP v8.2.0. Released v2.5.0. % 18.19/18.36 % Domain : Syntactic % 18.19/18.36 % Problem : Harrison problem 4608 % 18.19/18.36 % Version : Especial. % 18.19/18.36 % English : % 18.19/18.36 % 18.19/18.36 % Refs : [Har01] Email to G. Sutcliffe % 18.19/18.36 % Source : [Har01] % 18.19/18.36 % Names : % 18.19/18.36 % 18.19/18.36 % Status : Unsatisfiable % 18.19/18.36 % Rating : 0.17 v8.2.0, 0.14 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 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, 0.30 v5.1.0, 0.27 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.50 v3.3.0, 0.67 v3.2.0, 0.33 v3.1.0, 0.50 v2.7.0, 0.25 v2.6.0, 0.33 v2.5.0 % 18.19/18.36 % Syntax : Number of clauses : 62 ( 22 unt; 3 nHn; 39 RR) % 18.19/18.36 % Number of literals : 148 ( 0 equ; 84 neg) % 18.19/18.36 % Maximal clause size : 6 ( 2 avg) % 18.19/18.36 % Maximal term depth : 6 ( 2 avg) % 18.19/18.36 % Number of predicates : 20 ( 20 usr; 0 prp; 2-2 aty) % 18.19/18.36 % Number of functors : 27 ( 27 usr; 13 con; 0-2 aty) % 18.19/18.36 % Number of variables : 160 ( 0 sgn) % 18.19/18.36 % SPC : CNF_UNS_RFO_NEQ_NHN % 18.19/18.36 % 18.19/18.36 % Comments : % 18.19/18.36 %-------------------------------------------------------------------------- % 18.19/18.36 cnf(p11_1,negated_conjecture, % 18.19/18.36 p11(X0,X0) ). % 18.19/18.36 % 18.19/18.36 cnf(p9_2,negated_conjecture, % 18.19/18.36 p9(X125,X125) ). % 18.19/18.36 % 18.19/18.36 cnf(p8_3,negated_conjecture, % 18.19/18.36 p8(X122,X122) ). % 18.19/18.36 % 18.19/18.36 cnf(p6_4,negated_conjecture, % 18.19/18.36 p6(X119,X119) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_5,negated_conjecture, % 18.19/18.36 p4(X106,X106) ). % 18.19/18.36 % 18.19/18.36 cnf(p33_6,negated_conjecture, % 18.19/18.36 p33(X92,X92) ). % 18.19/18.36 % 18.19/18.36 cnf(p31_7,negated_conjecture, % 18.19/18.36 p31(X89,X89) ). % 18.19/18.36 % 18.19/18.36 cnf(p3_8,negated_conjecture, % 18.19/18.36 p3(X74,X74) ). % 18.19/18.36 % 18.19/18.36 cnf(p29_9,negated_conjecture, % 18.19/18.36 p29(X67,X67) ). % 18.19/18.36 % 18.19/18.36 cnf(p27_10,negated_conjecture, % 18.19/18.36 p27(X64,X64) ). % 18.19/18.36 % 18.19/18.36 cnf(p25_11,negated_conjecture, % 18.19/18.36 p25(X57,X57) ). % 18.19/18.36 % 18.19/18.36 cnf(p23_12,negated_conjecture, % 18.19/18.36 p23(X54,X54) ). % 18.19/18.36 % 18.19/18.36 cnf(p21_13,negated_conjecture, % 18.19/18.36 p21(X47,X47) ). % 18.19/18.36 % 18.19/18.36 cnf(p2_14,negated_conjecture, % 18.19/18.36 p2(X36,X36) ). % 18.19/18.36 % 18.19/18.36 cnf(p19_15,negated_conjecture, % 18.19/18.36 p19(X24,X24) ). % 18.19/18.36 % 18.19/18.36 cnf(p17_16,negated_conjecture, % 18.19/18.36 p17(X17,X17) ). % 18.19/18.36 % 18.19/18.36 cnf(p15_17,negated_conjecture, % 18.19/18.36 p15(X14,X14) ). % 18.19/18.36 % 18.19/18.36 cnf(p13_18,negated_conjecture, % 18.19/18.36 p13(X7,X7) ). % 18.19/18.36 % 18.19/18.36 cnf(p34_19,negated_conjecture, % 18.19/18.36 p34(c36,c37) ). % 18.19/18.36 % 18.19/18.36 cnf(not_p2_20,negated_conjecture, % 18.19/18.36 ~ p2(c38,c40) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_21,negated_conjecture, % 18.19/18.36 p4(f5(c40,X114),f5(f7(c39,c40),X114)) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_22,negated_conjecture, % 18.19/18.36 p4(f5(c38,X113),f5(f7(c39,c38),X113)) ). % 18.19/18.36 % 18.19/18.36 cnf(p11_23,negated_conjecture, % 18.19/18.36 ( p11(X1,X2) % 18.19/18.36 | ~ p11(X0,X1) % 18.19/18.36 | ~ p11(X0,X2) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p9_24,negated_conjecture, % 18.19/18.36 ( p9(X126,X127) % 18.19/18.36 | ~ p9(X125,X126) % 18.19/18.36 | ~ p9(X125,X127) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p8_25,negated_conjecture, % 18.19/18.36 ( p8(X123,X124) % 18.19/18.36 | ~ p8(X122,X123) % 18.19/18.36 | ~ p8(X122,X124) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p6_26,negated_conjecture, % 18.19/18.36 ( p6(X120,X121) % 18.19/18.36 | ~ p6(X119,X120) % 18.19/18.36 | ~ p6(X119,X121) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_27,negated_conjecture, % 18.19/18.36 ( p4(X107,X108) % 18.19/18.36 | ~ p4(X106,X107) % 18.19/18.36 | ~ p4(X106,X108) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p33_28,negated_conjecture, % 18.19/18.36 ( p33(X93,X94) % 18.19/18.36 | ~ p33(X92,X93) % 18.19/18.36 | ~ p33(X92,X94) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p31_29,negated_conjecture, % 18.19/18.36 ( p31(X90,X91) % 18.19/18.36 | ~ p31(X89,X90) % 18.19/18.36 | ~ p31(X89,X91) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p3_30,negated_conjecture, % 18.19/18.36 ( p3(X75,X76) % 18.19/18.36 | ~ p3(X74,X75) % 18.19/18.36 | ~ p3(X74,X76) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p29_31,negated_conjecture, % 18.19/18.36 ( p29(X68,X69) % 18.19/18.36 | ~ p29(X67,X68) % 18.19/18.36 | ~ p29(X67,X69) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p27_32,negated_conjecture, % 18.19/18.36 ( p27(X65,X66) % 18.19/18.36 | ~ p27(X64,X65) % 18.19/18.36 | ~ p27(X64,X66) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p25_33,negated_conjecture, % 18.19/18.36 ( p25(X58,X59) % 18.19/18.36 | ~ p25(X57,X58) % 18.19/18.36 | ~ p25(X57,X59) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p23_34,negated_conjecture, % 18.19/18.36 ( p23(X55,X56) % 18.19/18.36 | ~ p23(X54,X55) % 18.19/18.36 | ~ p23(X54,X56) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p21_35,negated_conjecture, % 18.19/18.36 ( p21(X48,X49) % 18.19/18.36 | ~ p21(X47,X48) % 18.19/18.36 | ~ p21(X47,X49) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p2_36,negated_conjecture, % 18.19/18.36 ( p2(X37,X38) % 18.19/18.36 | ~ p2(X36,X37) % 18.19/18.36 | ~ p2(X36,X38) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p19_37,negated_conjecture, % 18.19/18.36 ( p19(X25,X26) % 18.19/18.36 | ~ p19(X24,X25) % 18.19/18.36 | ~ p19(X24,X26) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p17_38,negated_conjecture, % 18.19/18.36 ( p17(X18,X19) % 18.19/18.36 | ~ p17(X17,X18) % 18.19/18.36 | ~ p17(X17,X19) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p15_39,negated_conjecture, % 18.19/18.36 ( p15(X15,X16) % 18.19/18.36 | ~ p15(X14,X15) % 18.19/18.36 | ~ p15(X14,X16) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p13_40,negated_conjecture, % 18.19/18.36 ( p13(X8,X9) % 18.19/18.36 | ~ p13(X7,X8) % 18.19/18.36 | ~ p13(X7,X9) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p34_41,negated_conjecture, % 18.19/18.36 ( p34(X95,X96) % 18.19/18.36 | ~ p34(X97,X98) % 18.19/18.36 | ~ p8(X98,X96) % 18.19/18.36 | ~ p33(X97,X95) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p35_42,negated_conjecture, % 18.19/18.36 ( p35(X99,X100) % 18.19/18.36 | ~ p35(X102,X101) % 18.19/18.36 | ~ p9(X102,X99) % 18.19/18.36 | ~ p3(X101,X100) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p9_43,negated_conjecture, % 18.19/18.36 ( p9(f10(X128,X129),f10(X130,X131)) % 18.19/18.36 | ~ p3(X129,X131) % 18.19/18.36 | ~ p8(X128,X130) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p11_44,negated_conjecture, % 18.19/18.36 ( p11(f14(X3,X4),f14(X5,X6)) % 18.19/18.36 | ~ p13(X3,X5) % 18.19/18.36 | ~ p2(X4,X6) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p13_45,negated_conjecture, % 18.19/18.36 ( p13(f16(X10,X11),f16(X12,X13)) % 18.19/18.36 | ~ p15(X10,X12) % 18.19/18.36 | ~ p2(X11,X13) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p17_46,negated_conjecture, % 18.19/18.36 ( p17(f20(X20,X21),f20(X22,X23)) % 18.19/18.36 | ~ p19(X20,X22) % 18.19/18.36 | ~ p2(X21,X23) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p19_47,negated_conjecture, % 18.19/18.36 ( p19(f22(X27,X28),f22(X29,X30)) % 18.19/18.36 | ~ p21(X27,X29) % 18.19/18.36 | ~ p6(X28,X30) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p2_48,negated_conjecture, % 18.19/18.36 ( p2(f26(X39,X40),f26(X41,X42)) % 18.19/18.36 | ~ p25(X39,X41) % 18.19/18.36 | ~ p6(X40,X42) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p2_49,negated_conjecture, % 18.19/18.36 ( p2(f7(X43,X44),f7(X45,X46)) % 18.19/18.36 | ~ p2(X44,X46) % 18.19/18.36 | ~ p6(X43,X45) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p21_50,negated_conjecture, % 18.19/18.36 ( p21(f24(X50,X51),f24(X52,X53)) % 18.19/18.36 | ~ p23(X50,X52) % 18.19/18.36 | ~ p8(X51,X53) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p25_51,negated_conjecture, % 18.19/18.36 ( p25(f28(X60,X61),f28(X62,X63)) % 18.19/18.36 | ~ p27(X60,X62) % 18.19/18.36 | ~ p8(X61,X63) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p29_52,negated_conjecture, % 18.19/18.36 ( p29(f32(X70,X71),f32(X72,X73)) % 18.19/18.36 | ~ p31(X70,X72) % 18.19/18.36 | ~ p8(X71,X73) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p3_53,negated_conjecture, % 18.19/18.36 ( p3(f12(X77,X78),f12(X79,X80)) % 18.19/18.36 | ~ p11(X77,X79) % 18.19/18.36 | ~ p3(X78,X80) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p3_54,negated_conjecture, % 18.19/18.36 ( p3(f18(X81,X82),f18(X83,X84)) % 18.19/18.36 | ~ p17(X81,X83) % 18.19/18.36 | ~ p2(X82,X84) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p3_55,negated_conjecture, % 18.19/18.36 ( p3(f30(X85,X86),f30(X87,X88)) % 18.19/18.36 | ~ p29(X85,X87) % 18.19/18.36 | ~ p6(X86,X88) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_56,negated_conjecture, % 18.19/18.36 ( p4(f5(X109,X110),f5(X111,X112)) % 18.19/18.36 | ~ p2(X109,X111) % 18.19/18.36 | ~ p3(X110,X112) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_57,negated_conjecture, % 18.19/18.36 ( p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) % 18.19/18.36 | p35(f10(c37,f12(f14(f16(c41,X103),X104),X105)),X105) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_58,negated_conjecture, % 18.19/18.36 ( p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) % 18.19/18.36 | ~ p4(f5(X103,f12(f14(f16(c41,X103),X104),X105)),f5(X104,f12(f14(f16(c41,X103),X104),X105))) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_59,negated_conjecture, % 18.19/18.36 ( p4(f5(f26(f28(c47,X115),X116),X117),f5(f26(f28(c48,X115),X116),X117)) % 18.19/18.36 | p4(f5(f26(f28(c47,X115),X116),X118),f5(f7(X116,f26(f28(c47,X115),X116)),X118)) % 18.19/18.36 | ~ p34(c36,X115) % 18.19/18.36 | ~ p35(f10(X115,X117),f30(f32(c46,X115),X116)) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p4_60,negated_conjecture, % 18.19/18.36 ( p4(f5(f26(f28(c47,X115),X116),X118),f5(f7(X116,f26(f28(c47,X115),X116)),X118)) % 18.19/18.36 | ~ p34(c36,X115) % 18.19/18.36 | ~ p4(f5(f7(X116,f26(f28(c47,X115),X116)),f30(f32(c46,X115),X116)),f5(f7(X116,f26(f28(c48,X115),X116)),f30(f32(c46,X115),X116))) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p2_61,negated_conjecture, % 18.19/18.36 ( p2(X31,X32) % 18.19/18.36 | p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35)) % 18.19/18.36 | ~ p34(c36,X33) % 18.19/18.36 | ~ p35(f10(X33,X35),f30(f32(c42,X33),X34)) % 18.19/18.36 | ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32))) % 18.19/18.36 | ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32))) ) ). % 18.19/18.36 % 18.19/18.36 cnf(p2_62,negated_conjecture, % 18.19/18.36 ( p2(X31,X32) % 18.19/18.36 | ~ p34(c36,X33) % 18.19/18.36 | ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32))) % 18.19/18.36 | ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32))) % 18.19/18.36 | ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34))) ) ). % 18.19/18.36 % 18.19/18.36 %-------------------------------------------------------------------------- % 18.19/18.36 %------------------------------------------- % 18.19/18.36 % Proof found % 18.19/18.36 % SZS status Theorem for theBenchmark % 18.19/18.36 % SZS output start Proof % 18.19/18.36 %ClaNum:62(EqnAxiom:0) % 18.19/18.36 %VarNum:402(SingletonVarNum:160) % 18.19/18.37 %MaxLitNum:6 % 18.19/18.37 %MaxfuncDepth:5 % 18.19/18.37 %SharedTerms:17 % 18.19/18.37 %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 % 18.19/18.37 %singleGoalClaCount:22 % 18.19/18.37 [1]P1(a1,a2) % 18.19/18.37 [22]~P11(a3,a6) % 18.19/18.37 [2]P2(x21,x21) % 18.19/18.37 [3]P16(x31,x31) % 18.19/18.37 [4]P17(x41,x41) % 18.19/18.37 [5]P18(x51,x51) % 18.19/18.37 [6]P19(x61,x61) % 18.19/18.37 [7]P3(x71,x71) % 18.19/18.37 [8]P4(x81,x81) % 18.19/18.37 [9]P5(x91,x91) % 18.19/18.37 [10]P6(x101,x101) % 18.19/18.37 [11]P7(x111,x111) % 18.19/18.37 [12]P8(x121,x121) % 18.19/18.37 [13]P9(x131,x131) % 18.19/18.37 [14]P10(x141,x141) % 18.19/18.37 [15]P11(x151,x151) % 18.19/18.37 [16]P12(x161,x161) % 18.19/18.37 [17]P13(x171,x171) % 18.19/18.37 [18]P14(x181,x181) % 18.19/18.37 [19]P15(x191,x191) % 18.19/18.37 [20]P19(f4(a3,x201),f4(f27(a5,a3),x201)) % 18.19/18.37 [21]P19(f4(a6,x211),f4(f27(a5,a6),x211)) % 18.19/18.37 [57]P19(f4(f27(a5,x571),x572),f4(f27(a5,x573),x572))+P20(f8(a2,f17(f7(f19(a9,x571),x573),x572)),x572) % 18.19/18.37 [59]P19(f4(f27(a5,x591),x592),f4(f27(a5,x593),x592))+~P19(f4(x591,f17(f7(f19(a9,x591),x593),x592)),f4(x593,f17(f7(f19(a9,x591),x593),x592))) % 18.19/18.37 [23]~P2(x233,x231)+P2(x231,x232)+~P2(x233,x232) % 18.19/18.37 [24]~P16(x243,x241)+P16(x241,x242)+~P16(x243,x242) % 18.19/18.37 [25]~P17(x253,x251)+P17(x251,x252)+~P17(x253,x252) % 18.19/18.37 [26]~P18(x263,x261)+P18(x261,x262)+~P18(x263,x262) % 18.19/18.37 [27]~P19(x273,x271)+P19(x271,x272)+~P19(x273,x272) % 18.19/18.37 [28]~P3(x283,x281)+P3(x281,x282)+~P3(x283,x282) % 18.19/18.37 [29]~P4(x293,x291)+P4(x291,x292)+~P4(x293,x292) % 18.19/18.37 [30]~P5(x303,x301)+P5(x301,x302)+~P5(x303,x302) % 18.19/18.37 [31]~P6(x313,x311)+P6(x311,x312)+~P6(x313,x312) % 18.19/18.37 [32]~P7(x323,x321)+P7(x321,x322)+~P7(x323,x322) % 18.19/18.37 [33]~P8(x333,x331)+P8(x331,x332)+~P8(x333,x332) % 18.19/18.37 [34]~P9(x343,x341)+P9(x341,x342)+~P9(x343,x342) % 18.19/18.37 [35]~P10(x353,x351)+P10(x351,x352)+~P10(x353,x352) % 18.19/18.37 [36]~P11(x363,x361)+P11(x361,x362)+~P11(x363,x362) % 18.19/18.37 [37]~P12(x373,x371)+P12(x371,x372)+~P12(x373,x372) % 18.19/18.37 [38]~P13(x383,x381)+P13(x381,x382)+~P13(x383,x382) % 18.19/18.37 [39]~P14(x393,x391)+P14(x391,x392)+~P14(x393,x392) % 18.19/18.37 [40]~P15(x403,x401)+P15(x401,x402)+~P15(x403,x402) % 18.19/18.37 [60]~P1(a1,x601)+~P19(f4(f27(x602,f25(f21(a10,x601),x602)),f20(f26(a11,x601),x602)),f4(f27(x602,f25(f21(a16,x601),x602)),f20(f26(a11,x601),x602)))+P19(f4(f25(f21(a10,x601),x602),x603),f4(f27(x602,f25(f21(a10,x601),x602)),x603)) % 18.19/18.37 [43]~P11(x432,x434)+~P15(x431,x433)+P2(f7(x431,x432),f7(x433,x434)) % 18.19/18.37 [44]~P17(x441,x443)+~P5(x442,x444)+P16(f8(x441,x442),f8(x443,x444)) % 18.19/18.37 [45]~P5(x452,x454)+~P11(x451,x453)+P19(f4(x451,x452),f4(x453,x454)) % 18.19/18.37 [46]~P2(x461,x463)+~P5(x462,x464)+P5(f17(x461,x462),f17(x463,x464)) % 18.19/18.37 [47]~P11(x472,x474)+~P13(x471,x473)+P5(f18(x471,x472),f18(x473,x474)) % 18.19/18.37 [48]~P18(x482,x484)+~P6(x481,x483)+P5(f20(x481,x482),f20(x483,x484)) % 18.19/18.37 [49]~P17(x492,x494)+~P4(x491,x493)+P6(f26(x491,x492),f26(x493,x494)) % 18.19/18.37 [50]~P17(x502,x504)+~P7(x501,x503)+P8(f21(x501,x502),f21(x503,x504)) % 18.19/18.37 [51]~P17(x512,x514)+~P9(x511,x513)+P10(f22(x511,x512),f22(x513,x514)) % 18.19/18.37 [52]~P18(x521,x523)+~P11(x522,x524)+P11(f27(x521,x522),f27(x523,x524)) % 18.19/18.37 [53]~P18(x532,x534)+~P8(x531,x533)+P11(f25(x531,x532),f25(x533,x534)) % 18.19/18.37 [54]~P18(x542,x544)+~P10(x541,x543)+P12(f23(x541,x542),f23(x543,x544)) % 18.19/18.37 [55]~P11(x552,x554)+~P12(x551,x553)+P13(f24(x551,x552),f24(x553,x554)) % 18.19/18.37 [56]~P11(x562,x564)+~P14(x561,x563)+P15(f19(x561,x562),f19(x563,x564)) % 18.19/18.37 [41]~P1(x414,x413)+P1(x411,x412)+~P17(x413,x412)+~P3(x414,x411) % 18.19/18.37 [42]~P20(x423,x424)+P20(x421,x422)+~P16(x423,x421)+~P5(x424,x422) % 18.19/18.37 [58]~P1(a1,x581)+~P20(f8(x581,x583),f20(f26(a11,x581),x582))+P19(f4(f25(f21(a10,x581),x582),x583),f4(f25(f21(a16,x581),x582),x583))+P19(f4(f25(f21(a10,x581),x582),x584),f4(f27(x582,f25(f21(a10,x581),x582)),x584)) % 18.19/18.37 [62]P11(x621,x622)+~P1(a1,x623)+~P19(f4(f27(x624,f25(f21(a12,x623),x624)),f20(f26(a13,x623),x624)),f4(f27(x624,f25(f21(a14,x623),x624)),f20(f26(a13,x623),x624)))+~P19(f4(x621,f18(f24(f23(f22(a15,x623),x624),x621),x622)),f4(f27(x624,x621),f18(f24(f23(f22(a15,x623),x624),x621),x622)))+~P19(f4(x622,f18(f24(f23(f22(a15,x623),x624),x621),x622)),f4(f27(x624,x622),f18(f24(f23(f22(a15,x623),x624),x621),x622))) % 18.19/18.37 [61]P11(x611,x612)+~P1(a1,x613)+~P20(f8(x613,x615),f20(f26(a13,x613),x614))+P19(f4(f25(f21(a12,x613),x614),x615),f4(f25(f21(a14,x613),x614),x615))+~P19(f4(x611,f18(f24(f23(f22(a15,x613),x614),x611),x612)),f4(f27(x614,x611),f18(f24(f23(f22(a15,x613),x614),x611),x612)))+~P19(f4(x612,f18(f24(f23(f22(a15,x613),x614),x611),x612)),f4(f27(x614,x612),f18(f24(f23(f22(a15,x613),x614),x611),x612))) % 18.19/18.37 %EqnAxiom % 18.19/18.37 % 18.19/18.37 %------------------------------------------- % 18.19/18.37 cnf(950,plain, % 18.19/18.37 (~P11(a6,a3)), % 18.19/18.37 inference(scs_inference,[],[22,15,36])). % 18.19/18.37 cnf(6702,plain, % 18.19/18.37 (~P19(f4(f27(a5,f25(f21(a12,a2),a5)),f20(f26(a13,a2),a5)),f4(f27(a5,f25(f21(a14,a2),a5)),f20(f26(a13,a2),a5)))), % 18.19/18.37 inference(scs_inference,[],[20,1,950,21,6,27,62])). % 18.19/18.37 cnf(6703,plain, % 18.19/18.37 (P19(f4(a6,x67031),f4(f27(a5,a6),x67031))), % 18.19/18.37 inference(rename_variables,[],[21])). % 18.19/18.37 cnf(6704,plain, % 18.19/18.37 (P19(f4(a3,x67041),f4(f27(a5,a3),x67041))), % 18.19/18.37 inference(rename_variables,[],[20])). % 18.19/18.37 cnf(6712,plain, % 18.19/18.37 (~P20(f8(a2,x67121),f20(f26(a13,a2),a5))+P19(f4(f25(f21(a12,a2),a5),x67121),f4(f25(f21(a14,a2),a5),x67121))), % 18.19/18.37 inference(scs_inference,[],[20,6704,1,950,21,6703,6,5,9,27,62,45,52,61])). % 18.19/18.37 cnf(6738,plain, % 18.19/18.37 (~P20(f8(a2,f17(f7(f19(a9,f25(f21(a12,a2),a5)),f25(f21(a14,a2),a5)),f20(f26(a13,a2),a5))),f20(f26(a13,a2),a5))), % 18.19/18.37 inference(scs_inference,[],[6702,6712,59])). % 18.19/18.37 cnf(6761,plain, % 18.19/18.37 ($false), % 18.19/18.37 inference(scs_inference,[],[6738,6702,57]), % 18.19/18.37 ['proof']). % 18.19/18.38 % SZS output end Proof % 18.19/18.38 % Total time :17.750000s %------------------------------------------------------------------------------