%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN584-1 : 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 : n026.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 19:06:02 EDT 2024 % Result : Unsatisfiable 0.52s 0.62s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN584-1 : TPTP v8.2.0. Released v2.5.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n026.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Jun 23 19:36:38 EDT 2024 % 0.12/0.33 % CPUTime : % 0.52/0.56 start to proof:theBenchmark % 0.52/0.61 %------------------------------------------- % 0.52/0.61 % File :CSE---1.7 % 0.52/0.61 % Problem :theBenchmark % 0.52/0.61 % Transform :cnf % 0.52/0.61 % Format :tptp:raw % 0.52/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.61 % 0.52/0.61 % Result :Theorem 0.020000s % 0.52/0.61 % Output :CNFRefutation 0.020000s % 0.52/0.61 %------------------------------------------- % 0.52/0.62 %-------------------------------------------------------------------------- % 0.52/0.62 % File : SYN584-1 : TPTP v8.2.0. Released v2.5.0. % 0.52/0.62 % Domain : Syntactic % 0.52/0.62 % Problem : Harrison problem 3511 % 0.52/0.62 % Version : Especial. % 0.52/0.62 % English : % 0.52/0.62 % 0.52/0.62 % Refs : [Har01] Email to G. Sutcliffe % 0.52/0.62 % Source : [Har01] % 0.52/0.62 % Names : % 0.52/0.62 % 0.52/0.62 % Status : Unsatisfiable % 0.52/0.62 % Rating : 0.00 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.06 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.14 v3.7.0, 0.00 v2.5.0 % 0.52/0.62 % Syntax : Number of clauses : 25 ( 9 unt; 0 nHn; 20 RR) % 0.52/0.62 % Number of literals : 56 ( 0 equ; 33 neg) % 0.52/0.62 % Maximal clause size : 4 ( 2 avg) % 0.52/0.62 % Maximal term depth : 8 ( 2 avg) % 0.52/0.62 % Number of predicates : 7 ( 7 usr; 0 prp; 2-2 aty) % 0.52/0.62 % Number of functors : 14 ( 14 usr; 6 con; 0-2 aty) % 0.52/0.62 % Number of variables : 55 ( 0 sgn) % 0.52/0.62 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.52/0.62 % 0.52/0.62 % Comments : % 0.52/0.62 %-------------------------------------------------------------------------- % 0.52/0.62 cnf(p12_1,negated_conjecture, % 0.52/0.62 p12(X0,X0) ). % 0.52/0.62 % 0.52/0.62 cnf(p6_2,negated_conjecture, % 0.52/0.62 p6(X42,X42) ). % 0.52/0.62 % 0.52/0.62 cnf(p5_3,negated_conjecture, % 0.52/0.62 p5(X31,X31) ). % 0.52/0.62 % 0.52/0.62 cnf(p3_4,negated_conjecture, % 0.52/0.62 p3(X26,X26) ). % 0.52/0.62 % 0.52/0.62 cnf(p2_5,negated_conjecture, % 0.52/0.62 p2(X19,X19) ). % 0.52/0.62 % 0.52/0.62 cnf(p5_6,negated_conjecture, % 0.52/0.62 ( p5(f11(X36),f11(X37)) % 0.52/0.62 | ~ p5(X36,X37) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p3_7,negated_conjecture, % 0.52/0.62 ( p3(f4(X29),f4(X30)) % 0.52/0.62 | ~ p2(X29,X30) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p5_8,negated_conjecture, % 0.52/0.62 ( p5(f10(X34),f10(X35)) % 0.52/0.62 | ~ p5(X34,X35) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p12_9,negated_conjecture, % 0.52/0.62 ( p12(X1,X2) % 0.52/0.62 | ~ p12(X0,X1) % 0.52/0.62 | ~ p12(X0,X2) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p6_10,negated_conjecture, % 0.52/0.62 ( p6(X43,X44) % 0.52/0.62 | ~ p6(X42,X43) % 0.52/0.62 | ~ p6(X42,X44) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p5_11,negated_conjecture, % 0.52/0.62 ( p5(X32,X33) % 0.52/0.62 | ~ p5(X31,X32) % 0.52/0.62 | ~ p5(X31,X33) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p3_12,negated_conjecture, % 0.52/0.62 ( p3(X27,X28) % 0.52/0.62 | ~ p3(X26,X27) % 0.52/0.62 | ~ p3(X26,X28) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p2_13,negated_conjecture, % 0.52/0.62 ( p2(X20,X21) % 0.52/0.62 | ~ p2(X19,X20) % 0.52/0.62 | ~ p2(X19,X21) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p16_14,negated_conjecture, % 0.52/0.62 ( p16(X15,X16) % 0.52/0.62 | ~ p12(X18,X16) % 0.52/0.62 | ~ p16(X17,X18) % 0.52/0.62 | ~ p12(X17,X15) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p15_15,negated_conjecture, % 0.52/0.62 ( p15(X11,X12) % 0.52/0.62 | ~ p15(X13,X14) % 0.52/0.62 | ~ p3(X14,X12) % 0.52/0.62 | ~ p12(X13,X11) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p12_16,negated_conjecture, % 0.52/0.62 ( p12(f13(X3,X4),f13(X5,X6)) % 0.52/0.62 | ~ p12(X3,X5) % 0.52/0.62 | ~ p12(X4,X6) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p6_17,negated_conjecture, % 0.52/0.62 ( p6(f8(X45,X46),f8(X47,X48)) % 0.52/0.62 | ~ p5(X45,X47) % 0.52/0.62 | ~ p5(X46,X48) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p5_18,negated_conjecture, % 0.52/0.62 ( p5(f9(X38,X39),f9(X40,X41)) % 0.52/0.62 | ~ p5(X38,X40) % 0.52/0.62 | ~ p5(X39,X41) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p2_19,negated_conjecture, % 0.52/0.62 ( p2(f7(X22,X23),f7(X24,X25)) % 0.52/0.62 | ~ p5(X22,X24) % 0.52/0.62 | ~ p6(X23,X25) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p12_20,negated_conjecture, % 0.52/0.62 ( p12(f14(X7,X8),f14(X9,X10)) % 0.52/0.62 | ~ p12(X8,X10) % 0.52/0.62 | ~ p2(X7,X9) ) ). % 0.52/0.62 % 0.52/0.62 cnf(p15_21,negated_conjecture, % 0.52/0.62 p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ). % 0.52/0.62 % 0.52/0.62 cnf(p15_22,negated_conjecture, % 0.52/0.62 p15(c17,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ). % 0.52/0.62 % 0.52/0.62 cnf(p12_23,negated_conjecture, % 0.52/0.62 p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22) ). % 0.52/0.62 % 0.52/0.62 cnf(not_p16_24,negated_conjecture, % 0.52/0.62 ( ~ p16(X49,c17) % 0.52/0.62 | ~ p16(c22,X49) % 0.52/0.62 | ~ p15(X49,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ) ). % 0.52/0.62 % 0.52/0.62 cnf(not_p15_25,negated_conjecture, % 0.52/0.62 ~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ). % 0.52/0.62 % 0.52/0.62 %-------------------------------------------------------------------------- % 0.52/0.62 %------------------------------------------- % 0.52/0.62 % Proof found % 0.52/0.62 % SZS status Theorem for theBenchmark % 0.52/0.62 % SZS output start Proof % 0.52/0.62 %ClaNum:25(EqnAxiom:0) % 0.52/0.62 %VarNum:111(SingletonVarNum:55) % 0.52/0.62 %MaxLitNum:4 % 0.52/0.62 %MaxfuncDepth:7 % 0.52/0.62 %SharedTerms:19 % 0.52/0.62 %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 % 0.52/0.62 %singleGoalClaCount:9 % 0.52/0.62 [6]P6(a1,f12(f11(a2,f10(f9(a4,f8(f7(a5))),f9(a6,f8(f7(a5))))))) % 0.52/0.62 [7]P6(a3,f12(f11(a2,f10(f9(a4,f8(f7(a5))),f9(a6,f8(f7(a5))))))) % 0.52/0.62 [8]P1(f14(a3,f13(f11(a2,f10(f9(a4,f8(f7(a5))),f9(a6,f8(f7(a5))))),a3)),a1) % 0.52/0.62 [9]~P6(f14(a3,f13(f11(a2,f10(f9(a4,f8(f7(a5))),f9(a6,f8(f7(a5))))),a3)),f12(f11(a2,f10(f9(a4,f8(f7(a5))),f9(a6,f8(f7(a5))))))) % 0.52/0.62 [1]P1(x11,x11) % 0.52/0.62 [2]P2(x21,x21) % 0.52/0.62 [3]P3(x31,x31) % 0.52/0.62 [4]P4(x41,x41) % 0.52/0.62 [5]P5(x51,x51) % 0.52/0.62 [10]~P3(x101,x102)+P3(f7(x101),f7(x102)) % 0.52/0.62 [11]~P3(x111,x112)+P3(f8(x111),f8(x112)) % 0.52/0.62 [12]~P5(x121,x122)+P4(f12(x121),f12(x122)) % 0.52/0.62 [25]~P7(a1,x251)+~P7(x251,a3)+~P6(x251,f12(f11(a2,f10(f9(a4,f8(f7(a5))),f9(a6,f8(f7(a5))))))) % 0.52/0.62 [13]~P1(x133,x131)+P1(x131,x132)+~P1(x133,x132) % 0.52/0.62 [14]~P2(x143,x141)+P2(x141,x142)+~P2(x143,x142) % 0.52/0.62 [15]~P3(x153,x151)+P3(x151,x152)+~P3(x153,x152) % 0.52/0.62 [16]~P4(x163,x161)+P4(x161,x162)+~P4(x163,x162) % 0.52/0.62 [17]~P5(x173,x171)+P5(x171,x172)+~P5(x173,x172) % 0.52/0.62 [20]~P1(x202,x204)+~P1(x201,x203)+P1(f14(x201,x202),f14(x203,x204)) % 0.52/0.62 [21]~P1(x212,x214)+~P5(x211,x213)+P1(f13(x211,x212),f13(x213,x214)) % 0.52/0.62 [22]~P3(x222,x224)+~P3(x221,x223)+P2(f10(x221,x222),f10(x223,x224)) % 0.52/0.62 [23]~P3(x232,x234)+~P3(x231,x233)+P3(f9(x231,x232),f9(x233,x234)) % 0.52/0.62 [24]~P2(x242,x244)+~P3(x241,x243)+P5(f11(x241,x242),f11(x243,x244)) % 0.52/0.62 [18]~P7(x183,x184)+P7(x181,x182)+~P1(x183,x181)+~P1(x184,x182) % 0.52/0.62 [19]~P6(x193,x194)+P6(x191,x192)+~P1(x193,x191)+~P4(x194,x192) % 0.52/0.62 %EqnAxiom % 0.52/0.62 % 0.52/0.62 %------------------------------------------- % 0.52/0.62 cnf(37,plain, % 0.52/0.62 (P1(a1,f14(a3,f13(f11(a2,f10(f9(a4,f8(f7(a5))),f9(a6,f8(f7(a5))))),a3)))), % 0.52/0.62 inference(scs_inference,[],[8,1,13])). % 0.52/0.62 cnf(46,plain, % 0.52/0.62 ($false), % 0.52/0.62 inference(scs_inference,[],[37,6,9,4,19]), % 0.52/0.62 ['proof']). % 0.52/0.62 % SZS output end Proof % 0.52/0.62 % Total time :0.020000s 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