0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.12/0.33 % Computer : n015.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 03:00:11 EDT 2022 0.12/0.33 % CPUTime : 0.49/0.56 start to proof:theBenchmark 0.53/0.73 %------------------------------------------- 0.53/0.73 % File :CSE---1.5 0.53/0.73 % Problem :theBenchmark 0.53/0.73 % Transform :cnf 0.53/0.73 % Format :tptp:raw 0.53/0.73 % Command :java -jar mcs_scs.jar %d %s 0.53/0.73 0.53/0.73 % Result :Theorem 0.110000s 0.53/0.73 % Output :CNFRefutation 0.110000s 0.53/0.73 %------------------------------------------- 0.53/0.73 fof(prove,conjecture, 0.53/0.73 ? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') ). 0.53/0.73 0.53/0.73 fof(background,axiom, 0.53/0.73 ? [A,B,C] : 0.53/0.73 ( $true 0.53/0.73 & predicate2(C,kill,A,'AuntAgatha') 0.53/0.73 & ! [D,E] : 0.53/0.73 ( ( predicate1(E,live,D) 0.53/0.73 & modifier_pp(E,in,'DreadburyMansion') 0.53/0.73 & $true ) 0.53/0.73 => ( 'AuntAgatha' = D 0.53/0.73 | 'Charles' = D 0.53/0.73 | 'Butler' = D ) ) 0.53/0.73 & ! [F] : 0.53/0.73 ( ! [G,H] : 0.53/0.73 ( ? [I] : predicate2(I,hate,F,G) 0.53/0.73 <= ( predicate2(H,kill,F,G) 0.53/0.73 & $true ) ) 0.53/0.73 <= $true ) 0.53/0.73 & ! [N,O] : 0.53/0.73 ( ( $true 0.53/0.73 & predicate2(O,hate,'AuntAgatha',N) ) 0.53/0.73 => ~ ? [P] : predicate2(P,hate,'Charles',N) ) 0.53/0.73 & ~ ? [Q] : predicate2(Q,hate,'AuntAgatha','Butler') 0.53/0.73 & ! [R] : 0.53/0.73 ( ? [S] : predicate2(S,hate,'AuntAgatha',R) 0.53/0.73 <= ( 'Butler' != R 0.53/0.73 & $true ) ) 0.53/0.73 & 'AuntAgatha' != 'Butler' 0.53/0.73 & ! [Z] : 0.53/0.73 ( ~ ! [A1] : 0.53/0.73 ( ? [B1] : predicate2(B1,hate,Z,A1) 0.53/0.73 <= $true ) 0.53/0.73 <= $true ) 0.53/0.73 & ! [W,X] : 0.53/0.73 ( ? [Y] : predicate2(Y,hate,'Butler',W) 0.53/0.73 <= ( predicate2(X,hate,'AuntAgatha',W) 0.53/0.73 & $true ) ) 0.53/0.73 & ! [T] : 0.53/0.73 ( ( $true 0.53/0.73 & ~ ? [U] : 0.53/0.73 ( U = T 0.53/0.73 & property2(U,rich,comp_than,'AuntAgatha') ) ) 0.53/0.73 => ? [V] : predicate2(V,hate,'Butler',T) ) 0.53/0.73 & ! [J] : 0.53/0.73 ( $true 0.53/0.73 => ~ ? [K,L,M] : 0.53/0.73 ( predicate2(L,kill,J,K) 0.53/0.73 & property2(M,rich,comp_than,K) 0.53/0.73 & M = J 0.53/0.73 & $true ) ) 0.53/0.73 & modifier_pp(B,in,'DreadburyMansion') 0.53/0.73 & predicate1(B,live,A) ) ). 0.53/0.73 0.53/0.73 %------------------------------------------- 0.53/0.73 % Proof found 0.53/0.73 % SZS status Theorem for theBenchmark 0.53/0.73 % SZS output start Proof 0.53/0.73 %ClaNum:41(EqnAxiom:26) 0.53/0.73 %VarNum:45(SingletonVarNum:21) 0.53/0.73 %MaxLitNum:5 0.53/0.73 %MaxfuncDepth:1 0.53/0.73 %SharedTerms:17 0.53/0.73 %goalClause: 31 0.53/0.73 %singleGoalClaCount:1 0.53/0.73 [27]P1(a1,a8,a2) 0.53/0.73 [28]P2(a1,a9,a3) 0.53/0.73 [29]P3(a10,a18,a2,a4) 0.53/0.73 [30]~E(a5,a4) 0.53/0.73 [31]~P3(x311,a18,a4,a4) 0.53/0.73 [32]~P3(x321,a11,a4,a5) 0.53/0.73 [33]~P3(x331,a11,x332,f12(x332)) 0.53/0.73 [35]E(a5,x351)+P3(f13(x351),a11,a4,x351) 0.53/0.73 [36]E(f15(x361),x361)+P3(f17(x361),a11,a5,x361) 0.53/0.73 [37]P3(f17(x371),a11,a5,x371)+P4(f15(x371),a19,a7,a4) 0.53/0.73 [38]~P3(x382,a11,a4,x381)+P3(f16(x381,x382),a11,a5,x381) 0.53/0.73 [40]~P3(x401,a11,a6,x402)+~P3(x403,a11,a4,x402) 0.53/0.73 [39]~P3(x393,a18,x391,x392)+P3(f14(x391,x392,x393),a11,x391,x392) 0.53/0.73 [41]~E(x411,x412)+~P3(x413,a18,x411,x414)+~P4(x412,a19,a7,x414) 0.53/0.73 [34]~P1(x342,a8,x341)+E(a6,x341)+E(a5,x341)+E(a4,x341)+~P2(x342,a9,a3) 0.53/0.73 %EqnAxiom 0.53/0.73 [1]E(x11,x11) 0.53/0.73 [2]E(x22,x21)+~E(x21,x22) 0.53/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) 0.53/0.73 [4]~E(x41,x42)+E(f12(x41),f12(x42)) 0.53/0.73 [5]~E(x51,x52)+E(f13(x51),f13(x52)) 0.53/0.73 [6]~E(x61,x62)+E(f15(x61),f15(x62)) 0.53/0.73 [7]~E(x71,x72)+E(f17(x71),f17(x72)) 0.53/0.73 [8]~E(x81,x82)+E(f16(x81,x83),f16(x82,x83)) 0.53/0.73 [9]~E(x91,x92)+E(f16(x93,x91),f16(x93,x92)) 0.53/0.73 [10]~E(x101,x102)+E(f14(x101,x103,x104),f14(x102,x103,x104)) 0.53/0.73 [11]~E(x111,x112)+E(f14(x113,x111,x114),f14(x113,x112,x114)) 0.53/0.73 [12]~E(x121,x122)+E(f14(x123,x124,x121),f14(x123,x124,x122)) 0.53/0.73 [13]P1(x132,x133,x134)+~E(x131,x132)+~P1(x131,x133,x134) 0.53/0.73 [14]P1(x143,x142,x144)+~E(x141,x142)+~P1(x143,x141,x144) 0.53/0.73 [15]P1(x153,x154,x152)+~E(x151,x152)+~P1(x153,x154,x151) 0.53/0.73 [16]P2(x162,x163,x164)+~E(x161,x162)+~P2(x161,x163,x164) 0.53/0.73 [17]P2(x173,x172,x174)+~E(x171,x172)+~P2(x173,x171,x174) 0.53/0.73 [18]P2(x183,x184,x182)+~E(x181,x182)+~P2(x183,x184,x181) 0.53/0.73 [19]P3(x192,x193,x194,x195)+~E(x191,x192)+~P3(x191,x193,x194,x195) 0.53/0.73 [20]P3(x203,x202,x204,x205)+~E(x201,x202)+~P3(x203,x201,x204,x205) 0.53/0.73 [21]P3(x213,x214,x212,x215)+~E(x211,x212)+~P3(x213,x214,x211,x215) 0.53/0.73 [22]P3(x223,x224,x225,x222)+~E(x221,x222)+~P3(x223,x224,x225,x221) 0.53/0.73 [23]P4(x232,x233,x234,x235)+~E(x231,x232)+~P4(x231,x233,x234,x235) 0.53/0.73 [24]P4(x243,x242,x244,x245)+~E(x241,x242)+~P4(x243,x241,x244,x245) 0.53/0.73 [25]P4(x253,x254,x252,x255)+~E(x251,x252)+~P4(x253,x254,x251,x255) 0.53/0.73 [26]P4(x263,x264,x265,x262)+~E(x261,x262)+~P4(x263,x264,x265,x261) 0.53/0.73 0.53/0.73 %------------------------------------------- 0.53/0.74 cnf(45,plain, 0.53/0.74 (~P3(x451,a11,a4,f12(a5))), 0.53/0.74 inference(scs_inference,[],[32,33,39,38])). 0.53/0.74 cnf(46,plain, 0.53/0.74 (~P3(x461,a11,x462,f12(x462))), 0.53/0.74 inference(rename_variables,[],[33])). 0.53/0.74 cnf(48,plain, 0.53/0.74 (E(f15(f12(a5)),f12(a5))), 0.53/0.74 inference(scs_inference,[],[32,33,46,39,38,36])). 0.53/0.74 cnf(49,plain, 0.53/0.74 (~P3(x491,a11,x492,f12(x492))), 0.53/0.74 inference(rename_variables,[],[33])). 0.53/0.74 cnf(51,plain, 0.53/0.74 (E(a5,f12(a4))), 0.53/0.74 inference(scs_inference,[],[32,33,46,49,39,38,36,35])). 0.53/0.74 cnf(52,plain, 0.53/0.74 (~P3(x521,a11,x522,f12(x522))), 0.53/0.74 inference(rename_variables,[],[33])). 0.53/0.74 cnf(54,plain, 0.53/0.74 (~E(a2,a4)), 0.53/0.74 inference(scs_inference,[],[31,32,29,33,46,49,39,38,36,35,21])). 0.53/0.74 cnf(56,plain, 0.53/0.74 (E(f14(x561,x562,a5),f14(x561,x562,f12(a4)))), 0.53/0.74 inference(scs_inference,[],[31,32,29,33,46,49,39,38,36,35,21,12])). 0.53/0.74 cnf(57,plain, 0.53/0.74 (E(f14(x571,a5,x572),f14(x571,f12(a4),x572))), 0.53/0.74 inference(scs_inference,[],[31,32,29,33,46,49,39,38,36,35,21,12,11])). 0.53/0.74 cnf(64,plain, 0.53/0.74 (E(f12(a5),f12(f12(a4)))), 0.53/0.74 inference(scs_inference,[],[31,32,29,33,46,49,39,38,36,35,21,12,11,10,9,8,7,6,5,4])). 0.53/0.74 cnf(65,plain, 0.53/0.74 (~E(a4,a5)), 0.53/0.74 inference(scs_inference,[],[31,32,29,30,33,46,49,39,38,36,35,21,12,11,10,9,8,7,6,5,4,2])). 0.53/0.74 cnf(66,plain, 0.53/0.74 (P4(f15(f12(a5)),a19,a7,a4)), 0.53/0.74 inference(scs_inference,[],[31,32,29,30,33,46,49,52,39,38,36,35,21,12,11,10,9,8,7,6,5,4,2,37])). 0.53/0.74 cnf(86,plain, 0.53/0.74 (P3(f14(a2,a4,a10),a11,a2,a4)), 0.53/0.74 inference(scs_inference,[],[29,39])). 0.53/0.74 cnf(90,plain, 0.53/0.74 (~P3(x901,a11,x902,f12(x902))), 0.53/0.74 inference(rename_variables,[],[33])). 0.53/0.74 cnf(94,plain, 0.53/0.74 (P3(f13(a4),a11,a4,a4)), 0.53/0.74 inference(scs_inference,[],[33,29,30,48,56,57,39,2,22,3,35])). 0.53/0.74 cnf(96,plain, 0.53/0.74 (P4(f12(a5),a19,a7,a4)), 0.53/0.74 inference(scs_inference,[],[33,29,30,48,56,57,66,39,2,22,3,35,23])). 0.53/0.74 cnf(99,plain, 0.53/0.74 (P3(f16(a4,f13(a4)),a11,a5,a4)), 0.53/0.74 inference(scs_inference,[],[33,29,30,48,56,57,66,39,2,22,3,35,23,41,38])). 0.53/0.74 cnf(103,plain, 0.53/0.74 (~E(a11,a18)), 0.53/0.74 inference(scs_inference,[],[31,33,90,29,30,48,51,56,57,66,39,2,22,3,35,23,41,38,21,20])). 0.53/0.74 cnf(105,plain, 0.53/0.74 (~P3(x1051,a11,a6,a4)), 0.53/0.74 inference(scs_inference,[],[31,33,90,29,30,48,51,56,57,66,39,2,22,3,35,23,41,38,21,20,40])). 0.53/0.74 cnf(130,plain, 0.53/0.74 (E(a5,f12(a5))), 0.53/0.74 inference(scs_inference,[],[33,96,45,48,41,39,35])). 0.53/0.74 cnf(133,plain, 0.53/0.74 (~E(a4,a2)), 0.53/0.74 inference(scs_inference,[],[33,54,96,45,48,41,39,35,2])). 0.53/0.74 cnf(134,plain, 0.53/0.74 (~E(a2,a6)), 0.53/0.74 inference(scs_inference,[],[33,54,105,96,45,86,48,41,39,35,2,21])). 0.53/0.74 cnf(146,plain, 0.53/0.74 (E(f12(a5),a5)), 0.53/0.74 inference(scs_inference,[],[29,130,99,96,41,21,2])). 0.53/0.74 cnf(154,plain, 0.53/0.74 (~P3(x1541,a18,a5,a4)), 0.53/0.74 inference(scs_inference,[],[96,130,41])). 0.53/0.74 cnf(156,plain, 0.53/0.74 (~P3(x1561,a11,f12(a5),f12(a5))), 0.53/0.74 inference(scs_inference,[],[33,146,96,130,41,21])). 0.53/0.74 cnf(157,plain, 0.53/0.74 (~P3(x1571,a11,x1572,f12(x1572))), 0.53/0.74 inference(rename_variables,[],[33])). 0.53/0.74 cnf(162,plain, 0.53/0.74 (E(a5,a2)+E(a6,a2)), 0.53/0.74 inference(scs_inference,[],[28,33,157,103,133,146,64,51,96,27,130,41,21,22,2,3,34])). 0.53/0.74 cnf(164,plain, 0.53/0.74 (E(f14(x1641,f12(a5),x1642),f14(x1641,a5,x1642))), 0.53/0.74 inference(scs_inference,[],[28,33,157,103,133,146,64,51,96,27,130,41,21,22,2,3,34,11])). 0.53/0.74 cnf(165,plain, 0.53/0.74 (E(f14(f12(a5),x1651,x1652),f14(a5,x1651,x1652))), 0.53/0.74 inference(scs_inference,[],[28,33,157,103,133,146,64,51,96,27,130,41,21,22,2,3,34,11,10])). 0.53/0.74 cnf(169,plain, 0.53/0.74 (E(f12(f12(a5)),f12(a5))), 0.53/0.74 inference(scs_inference,[],[28,33,157,103,133,146,64,51,96,27,130,41,21,22,2,3,34,11,10,9,7,6,4])). 0.53/0.74 cnf(170,plain, 0.53/0.74 (E(f14(x1701,x1702,f12(a5)),f14(x1701,x1702,a5))), 0.53/0.74 inference(scs_inference,[],[28,33,157,103,133,146,64,51,96,27,130,41,21,22,2,3,34,11,10,9,7,6,4,12])). 0.53/0.74 cnf(177,plain, 0.53/0.74 (~E(a2,a5)), 0.53/0.74 inference(scs_inference,[],[29,154,169,96,41,21])). 0.53/0.74 cnf(179,plain, 0.53/0.74 (E(f14(f12(a5),f12(a5),x1791),f14(a5,a5,x1791))), 0.53/0.74 inference(scs_inference,[],[29,154,164,165,169,96,41,21,3])). 0.53/0.74 cnf(206,plain, 0.53/0.74 (E(a5,a2)), 0.53/0.74 inference(scs_inference,[],[32,45,48,65,134,156,94,105,146,21,3,2,22,39,20,162])). 0.53/0.74 cnf(217,plain, 0.53/0.74 ($false), 0.53/0.74 inference(scs_inference,[],[33,177,206,179,170,21,3,2]), 0.53/0.74 ['proof']). 0.53/0.74 % SZS output end Proof 0.53/0.74 % Total time :0.110000s 0.53/0.74 EOF