0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.12/0.34 % Computer : n005.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 01:58:34 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.56 start to proof:theBenchmark 0.56/0.77 %------------------------------------------- 0.56/0.77 % File :CSE---1.5 0.56/0.77 % Problem :theBenchmark 0.56/0.77 % Transform :cnf 0.56/0.77 % Format :tptp:raw 0.56/0.77 % Command :java -jar mcs_scs.jar %d %s 0.56/0.77 0.56/0.77 % Result :Theorem 0.150000s 0.56/0.77 % Output :CNFRefutation 0.150000s 0.56/0.77 %------------------------------------------- 0.56/0.77 fof('ass(cond(33, 0), 0)',axiom, 0.56/0.77 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ). 0.56/0.77 0.56/0.77 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom, 0.56/0.77 ! [Vd249,Vd250] : 0.56/0.77 ( ( less(Vd250,Vd249) 0.56/0.77 | Vd249 = Vd250 ) 0.56/0.77 <=> leq(Vd250,Vd249) ) ). 0.56/0.77 0.56/0.77 fof('ass(cond(168, 0), 0)',axiom, 0.56/0.77 ! [Vd262,Vd263,Vd265] : 0.56/0.77 ( ( less(Vd262,Vd263) 0.56/0.77 & less(Vd263,Vd265) ) 0.56/0.77 => less(Vd262,Vd265) ) ). 0.56/0.77 0.56/0.77 fof('ass(cond(goal(130), 0), 3)',axiom, 0.56/0.77 ! [Vd203,Vd204] : 0.56/0.77 ( ~ greater(Vd203,Vd204) 0.56/0.77 | Vd204 != Vd203 ) ). 0.56/0.77 0.56/0.77 fof('ass(cond(goal(193), 0), 0)',axiom, 0.56/0.77 ! [Vd301,Vd302,Vd303] : 0.56/0.77 ( less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) 0.56/0.77 <= less(Vd301,Vd302) ) ). 0.56/0.77 0.56/0.77 fof('ass(cond(147, 0), 0)',axiom, 0.56/0.77 ! [Vd226,Vd227] : 0.56/0.77 ( less(Vd226,Vd227) 0.56/0.77 => greater(Vd227,Vd226) ) ). 0.56/0.77 0.56/0.77 fof('ass(cond(140, 0), 0)',axiom, 0.56/0.77 ! [Vd208,Vd209] : 0.56/0.77 ( greater(Vd208,Vd209) 0.56/0.78 => less(Vd209,Vd208) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(88), 0), 1)',axiom, 0.56/0.78 ! [Vd120,Vd121] : 0.56/0.78 ( ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) 0.56/0.78 | Vd120 != Vd121 ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(130), 0), 0)',axiom, 0.56/0.78 ! [Vd203,Vd204] : 0.56/0.78 ( less(Vd203,Vd204) 0.56/0.78 | greater(Vd203,Vd204) 0.56/0.78 | Vd204 = Vd203 ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(163, 0), 0)',axiom, 0.56/0.78 ! [Vd258,Vd259] : 0.56/0.78 ( leq(Vd258,Vd259) 0.56/0.78 => geq(Vd259,Vd258) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(184, 0), 0)',axiom, 0.56/0.78 ! [Vd289,Vd290,Vd292] : 0.56/0.78 ( leq(Vd289,Vd292) 0.56/0.78 <= ( leq(Vd289,Vd290) 0.56/0.78 & leq(Vd290,Vd292) ) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(12, 0), 0)',axiom, 0.56/0.78 ! [Vd16] : Vd16 != vsucc(Vd16) ). 0.56/0.78 0.56/0.78 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom, 0.56/0.78 ! [Vd3,Vd4] : 0.56/0.78 ( Vd3 = Vd4 0.56/0.78 <= vsucc(Vd3) = vsucc(Vd4) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(6, 0), 0)',axiom, 0.56/0.78 ! [Vd7,Vd8] : 0.56/0.78 ( vsucc(Vd8) != vsucc(Vd7) 0.56/0.78 <= Vd7 != Vd8 ) ). 0.56/0.78 0.56/0.78 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom, 0.56/0.78 ! [Vd244,Vd245] : 0.56/0.78 ( geq(Vd245,Vd244) 0.56/0.78 <=> ( greater(Vd245,Vd244) 0.56/0.78 | Vd245 = Vd244 ) ) ). 0.56/0.78 0.56/0.78 fof('holds(conseq(conjunct2(conjunct2(204))), 336, 0)',conjecture, 0.56/0.78 less(vd328,vd329) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(130), 0), 1)',axiom, 0.56/0.78 ! [Vd203,Vd204] : 0.56/0.78 ( ~ less(Vd203,Vd204) 0.56/0.78 | Vd204 != Vd203 ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(conjunct1(204), 0), 0)',axiom, 0.56/0.78 ( greater(vd328,vd329) 0.56/0.78 <= greater(vplus(vd328,vd330),vplus(vd329,vd330)) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(20, 0), 0)',axiom, 0.56/0.78 ! [Vd24] : 0.56/0.78 ( Vd24 != v1 0.56/0.78 => Vd24 = vsucc(vskolem2(Vd24)) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(130), 0), 2)',axiom, 0.56/0.78 ! [Vd203,Vd204] : 0.56/0.78 ( ~ greater(Vd203,Vd204) 0.56/0.78 | ~ less(Vd203,Vd204) ) ). 0.56/0.78 0.56/0.78 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom, 0.56/0.78 ! [Vd42,Vd43] : 0.56/0.78 ( vsucc(Vd42) = vplus(Vd42,v1) 0.56/0.78 & vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43)) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(177), 0), 0)',axiom, 0.56/0.78 ! [Vd281,Vd282,Vd283] : 0.56/0.78 ( ( ( leq(Vd282,Vd283) 0.56/0.78 & less(Vd281,Vd282) ) 0.56/0.78 | ( less(Vd282,Vd283) 0.56/0.78 & leq(Vd281,Vd282) ) ) 0.56/0.78 => less(Vd281,Vd283) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(158, 0), 0)',axiom, 0.56/0.78 ! [Vd254,Vd255] : 0.56/0.78 ( leq(Vd255,Vd254) 0.56/0.78 <= geq(Vd254,Vd255) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(88), 0), 0)',axiom, 0.56/0.78 ! [Vd120,Vd121] : 0.56/0.78 ( ? [Vd123] : Vd120 = vplus(Vd121,Vd123) 0.56/0.78 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) 0.56/0.78 | Vd120 = Vd121 ) ). 0.56/0.78 0.56/0.78 fof('holds(antec(conjunct2(conjunct2(204))), 335, 0)',axiom, 0.56/0.78 less(vplus(vd328,vd330),vplus(vd329,vd330)) ). 0.56/0.78 0.56/0.78 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom, 0.56/0.78 ! [Vd1] : vsucc(Vd1) != v1 ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(88), 0), 2)',axiom, 0.56/0.78 ! [Vd120,Vd121] : 0.56/0.78 ( ~ ? [Vd123] : vplus(Vd121,Vd123) = Vd120 0.56/0.78 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(conjunct1(conjunct2(204)), 0), 0)',axiom, 0.56/0.78 ( vd328 = vd329 0.56/0.78 <= vplus(vd328,vd330) = vplus(vd329,vd330) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(52, 0), 0)',axiom, 0.56/0.78 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ). 0.56/0.78 0.56/0.78 fof('ass(cond(61, 0), 0)',axiom, 0.56/0.78 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ). 0.56/0.78 0.56/0.78 fof('ass(cond(81, 0), 0)',axiom, 0.56/0.78 ! [Vd104,Vd105] : 0.56/0.78 ( ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) 0.56/0.78 <= Vd104 != Vd105 ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(189, 0), 0)',axiom, 0.56/0.78 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(193), 0), 2)',axiom, 0.56/0.78 ! [Vd301,Vd302,Vd303] : 0.56/0.78 ( greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) 0.56/0.78 <= greater(Vd301,Vd302) ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(43, 0), 0)',axiom, 0.56/0.78 ! [Vd59] : vsucc(Vd59) = vplus(v1,Vd59) ). 0.56/0.78 0.56/0.78 fof('ass(cond(73, 0), 0)',axiom, 0.56/0.78 ! [Vd92,Vd93] : vplus(Vd92,Vd93) != Vd93 ). 0.56/0.78 0.56/0.78 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom, 0.56/0.78 ! [Vd198,Vd199] : 0.56/0.78 ( less(Vd199,Vd198) 0.56/0.78 <=> ? [Vd201] : vplus(Vd199,Vd201) = Vd198 ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(88), 0), 3)',axiom, 0.56/0.78 ! [Vd120,Vd121] : 0.56/0.78 ( ~ ? [Vd123] : vplus(Vd121,Vd123) = Vd120 0.56/0.78 | Vd121 != Vd120 ) ). 0.56/0.78 0.56/0.78 fof('ass(cond(goal(193), 0), 1)',axiom, 0.56/0.78 ! [Vd301,Vd302,Vd303] : 0.56/0.78 ( vplus(Vd302,Vd303) = vplus(Vd301,Vd303) 0.56/0.78 <= Vd301 = Vd302 ) ). 0.56/0.78 0.56/0.78 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom, 0.56/0.78 ! [Vd193,Vd194] : 0.56/0.78 ( greater(Vd194,Vd193) 0.56/0.78 <=> ? [Vd196] : vplus(Vd193,Vd196) = Vd194 ) ). 0.56/0.78 0.56/0.78 %------------------------------------------- 0.56/0.78 % Proof found 0.56/0.78 % SZS status Theorem for theBenchmark 0.56/0.78 % SZS output start Proof 0.56/0.78 %ClaNum:67(EqnAxiom:22) 0.56/0.78 %VarNum:181(SingletonVarNum:86) 0.56/0.78 %MaxLitNum:3 0.56/0.78 %MaxfuncDepth:2 0.56/0.78 %SharedTerms:12 0.56/0.78 %goalClause: 30 0.56/0.78 %singleGoalClaCount:1 0.56/0.78 [30]~P3(a7,a9) 0.56/0.78 [26]P3(f6(a7,a8),f6(a9,a8)) 0.56/0.78 [32]~E(f6(x321,a1),x321) 0.56/0.78 [24]E(f6(x241,x242),f6(x242,x241)) 0.56/0.78 [25]P1(f6(x251,x252),x251) 0.56/0.78 [33]~E(f6(x331,x332),x332) 0.59/0.78 [28]E(f6(f6(x281,a1),x282),f6(f6(x281,x282),a1)) 0.59/0.78 [29]E(f6(f6(x291,x292),x293),f6(x291,f6(x292,x293))) 0.59/0.78 [42]~E(f6(a9,a8),f6(a7,a8))+E(a9,a7) 0.59/0.78 [67]~P1(f6(a7,a8),f6(a9,a8))+P1(a7,a9) 0.59/0.78 [36]E(x361,a1)+E(f6(f10(x361),a1),x361) 0.59/0.78 [34]~E(x342,x341)+P4(x341,x342) 0.59/0.78 [35]~E(x351,x352)+P2(x351,x352) 0.59/0.78 [37]~P3(x371,x372)+~E(x371,x372) 0.59/0.78 [38]~P1(x381,x382)+~E(x381,x382) 0.59/0.78 [43]~P1(x432,x431)+P3(x431,x432) 0.59/0.78 [44]~P2(x442,x441)+P4(x441,x442) 0.59/0.78 [45]~P3(x451,x452)+P4(x451,x452) 0.59/0.78 [46]~P3(x462,x461)+P1(x461,x462) 0.59/0.78 [47]~P4(x472,x471)+P2(x471,x472) 0.59/0.78 [48]~P1(x481,x482)+P2(x481,x482) 0.59/0.78 [55]~P1(x551,x552)+~P3(x551,x552) 0.59/0.78 [54]E(x541,x542)+~E(f6(x541,a1),f6(x542,a1)) 0.59/0.78 [62]~P1(x622,x621)+E(f6(x621,f2(x621,x622)),x622) 0.59/0.78 [63]~P3(x631,x632)+E(f6(x631,f3(x632,x631)),x632) 0.59/0.78 [39]~E(x391,x392)+~E(x391,f6(x392,x393)) 0.59/0.78 [40]~E(x401,x402)+~E(f6(x401,x403),x402) 0.59/0.78 [49]P3(x491,x492)+~E(f6(x491,x493),x492) 0.59/0.78 [50]P1(x501,x502)+~E(f6(x502,x503),x501) 0.59/0.78 [56]E(x561,x562)+~E(f6(x563,x561),f6(x563,x562)) 0.59/0.78 [65]~P3(x651,x653)+P3(f6(x651,x652),f6(x653,x652)) 0.59/0.78 [66]~P1(x661,x663)+P1(f6(x661,x662),f6(x663,x662)) 0.59/0.78 [57]~E(x571,f6(x572,x573))+~E(f6(x571,x574),x572) 0.59/0.78 [41]P3(x411,x412)+P1(x411,x412)+E(x411,x412) 0.59/0.78 [51]P3(x511,x512)+~P4(x511,x512)+E(x511,x512) 0.59/0.78 [52]P1(x521,x522)+~P2(x521,x522)+E(x521,x522) 0.59/0.78 [64]E(x641,x642)+E(f6(x641,f4(x641,x642)),x642)+E(f6(x642,f5(x641,x642)),x641) 0.59/0.78 [58]~P4(x583,x582)+P3(x581,x582)+~P3(x581,x583) 0.59/0.78 [59]~P4(x591,x593)+P3(x591,x592)+~P3(x593,x592) 0.59/0.78 [60]~P3(x601,x603)+P3(x601,x602)+~P3(x603,x602) 0.59/0.78 [61]~P4(x611,x613)+P4(x611,x612)+~P4(x613,x612) 0.59/0.78 %EqnAxiom 0.59/0.78 [1]E(x11,x11) 0.59/0.78 [2]E(x22,x21)+~E(x21,x22) 0.59/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) 0.59/0.78 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43)) 0.59/0.78 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52)) 0.59/0.78 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) 0.59/0.78 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) 0.59/0.78 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83)) 0.59/0.78 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92)) 0.59/0.78 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103)) 0.59/0.78 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112)) 0.59/0.79 [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123)) 0.59/0.79 [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132)) 0.59/0.79 [14]~E(x141,x142)+E(f10(x141),f10(x142)) 0.59/0.79 [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153) 0.59/0.79 [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161) 0.59/0.79 [17]P3(x172,x173)+~E(x171,x172)+~P3(x171,x173) 0.59/0.79 [18]P3(x183,x182)+~E(x181,x182)+~P3(x183,x181) 0.59/0.79 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193) 0.59/0.79 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201) 0.59/0.79 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213) 0.59/0.79 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221) 0.59/0.79 0.59/0.79 %------------------------------------------- 0.59/0.79 cnf(68,plain, 0.59/0.79 (E(f6(x681,f6(x682,x683)),f6(f6(x681,x682),x683))), 0.59/0.79 inference(scs_inference,[],[29,2])). 0.59/0.79 cnf(69,plain, 0.59/0.79 (~E(f6(f6(x691,x692),x693),x692)), 0.59/0.79 inference(scs_inference,[],[24,29,2,57])). 0.59/0.79 cnf(71,plain, 0.59/0.79 (~P1(f6(a7,a8),f6(a9,a8))), 0.59/0.79 inference(scs_inference,[],[24,26,29,2,57,55])). 0.59/0.79 cnf(73,plain, 0.59/0.79 (P1(f6(x731,x732),x732)), 0.59/0.79 inference(scs_inference,[],[24,26,29,2,57,55,50])). 0.59/0.79 cnf(75,plain, 0.59/0.79 (P3(x751,f6(x752,x751))), 0.59/0.79 inference(scs_inference,[],[24,26,29,2,57,55,50,49])). 0.59/0.79 cnf(77,plain, 0.59/0.79 (~P3(f6(a9,a8),f6(a7,a8))), 0.59/0.79 inference(scs_inference,[],[24,26,29,2,57,55,50,49,46])). 0.59/0.79 cnf(79,plain, 0.59/0.79 (~P1(a9,a7)), 0.59/0.79 inference(scs_inference,[],[30,24,26,29,2,57,55,50,49,46,43])). 0.59/0.79 cnf(85,plain, 0.59/0.79 (~P1(f6(x851,x852),f6(x852,x851))), 0.59/0.79 inference(scs_inference,[],[30,24,26,29,2,57,55,50,49,46,43,40,39,38])). 0.59/0.79 cnf(87,plain, 0.59/0.79 (~P3(f6(x871,x872),f6(x872,x871))), 0.59/0.79 inference(scs_inference,[],[30,24,26,29,2,57,55,50,49,46,43,40,39,38,37])). 0.59/0.79 cnf(89,plain, 0.59/0.79 (~E(f6(a9,a8),f6(a8,a7))), 0.59/0.79 inference(scs_inference,[],[30,24,26,29,2,57,55,50,49,46,43,40,39,38,37,18])). 0.59/0.79 cnf(91,plain, 0.59/0.79 (E(f6(x911,x912),f6(x912,x911))), 0.59/0.79 inference(rename_variables,[],[24])). 0.59/0.79 cnf(93,plain, 0.59/0.79 (P1(f6(x931,x932),x931)), 0.59/0.79 inference(rename_variables,[],[25])). 0.59/0.79 cnf(94,plain, 0.59/0.79 (~E(f6(f6(a9,a8),x941),f6(a7,a8))), 0.59/0.79 inference(scs_inference,[],[30,24,25,93,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15])). 0.59/0.79 cnf(95,plain, 0.59/0.79 (P1(f6(x951,x952),x951)), 0.59/0.79 inference(rename_variables,[],[25])). 0.59/0.79 cnf(96,plain, 0.59/0.79 (~E(f6(x961,f6(x962,x963)),f6(x963,x962))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,33,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3])). 0.59/0.79 cnf(97,plain, 0.59/0.79 (~E(f6(x971,x972),x972)), 0.59/0.79 inference(rename_variables,[],[33])). 0.59/0.79 cnf(99,plain, 0.59/0.79 (~E(f6(x991,x992),x992)), 0.59/0.79 inference(rename_variables,[],[33])). 0.59/0.79 cnf(105,plain, 0.59/0.79 (~P4(f6(a9,a8),f6(a8,a7))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,33,97,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58])). 0.59/0.79 cnf(118,plain, 0.59/0.79 (P1(f6(f6(x1181,x1182),x1183),f6(x1181,x1183))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66])). 0.59/0.79 cnf(124,plain, 0.59/0.79 (E(f6(x1241,f2(x1241,f6(x1241,x1242))),f6(x1241,x1242))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62])). 0.59/0.79 cnf(132,plain, 0.59/0.79 (P4(f6(a7,a8),f6(a9,a8))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,99,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62,56,54,48,45])). 0.59/0.79 cnf(134,plain, 0.59/0.79 (P4(x1341,f6(x1341,x1342))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,99,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62,56,54,48,45,44])). 0.59/0.79 cnf(136,plain, 0.59/0.79 (E(f6(f10(f6(x1361,a1)),a1),f6(x1361,a1))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,99,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62,56,54,48,45,44,36])). 0.59/0.79 cnf(139,plain, 0.59/0.79 (P2(f6(x1391,x1392),f6(x1392,x1391))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,99,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62,56,54,48,45,44,36,35])). 0.59/0.79 cnf(141,plain, 0.59/0.79 (P4(f6(x1411,x1412),f6(x1412,x1411))), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,99,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62,56,54,48,45,44,36,35,34])). 0.59/0.79 cnf(145,plain, 0.59/0.79 (E(f6(x1451,x1452),f6(x1452,x1451))), 0.59/0.79 inference(rename_variables,[],[24])). 0.59/0.79 cnf(146,plain, 0.59/0.79 (~P4(f6(a9,a8),a7)), 0.59/0.79 inference(scs_inference,[],[30,24,91,25,93,95,33,97,99,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62,56,54,48,45,44,36,35,34,20,19,61])). 0.59/0.79 cnf(150,plain, 0.59/0.79 (P2(f6(f6(x1501,x1502),x1503),f6(x1502,x1501))), 0.59/0.79 inference(scs_inference,[],[30,24,91,145,25,93,95,33,97,99,26,29,2,57,55,50,49,46,43,40,39,38,37,18,17,16,15,3,64,60,59,58,14,13,12,11,10,9,8,7,6,5,4,66,65,63,62,56,54,48,45,44,36,35,34,20,19,61,52,22])). 0.59/0.79 cnf(160,plain, 0.59/0.79 (~P3(f6(x1601,x1602),f6(x1602,x1601))), 0.59/0.79 inference(rename_variables,[],[87])). 0.59/0.79 cnf(162,plain, 0.59/0.79 (~P3(f6(x1621,x1622),x1622)), 0.59/0.79 inference(scs_inference,[],[87,132,69,47,65,63])). 0.59/0.79 cnf(163,plain, 0.59/0.79 (~E(f6(f6(x1631,x1632),x1633),x1632)), 0.59/0.79 inference(rename_variables,[],[69])). 0.59/0.79 cnf(166,plain, 0.59/0.79 (~E(f6(f6(x1661,x1662),x1663),x1662)), 0.59/0.79 inference(rename_variables,[],[69])). 0.59/0.79 cnf(170,plain, 0.59/0.79 (E(f2(x1701,f6(x1701,x1702)),x1702)), 0.59/0.79 inference(scs_inference,[],[28,124,87,132,69,163,47,65,63,62,57,56])). 0.59/0.79 cnf(190,plain, 0.59/0.79 (~P3(f6(x1901,x1902),f6(x1902,x1901))), 0.59/0.79 inference(rename_variables,[],[87])). 0.59/0.79 cnf(192,plain, 0.59/0.79 (~P3(f6(a8,a9),f6(a7,a8))), 0.59/0.79 inference(scs_inference,[],[30,28,25,24,26,124,87,160,190,132,94,105,69,163,47,65,63,62,57,56,55,49,44,40,38,37,34,64,60,58])). 0.59/0.79 cnf(210,plain, 0.59/0.79 (P3(x2101,f6(x2101,x2102))), 0.59/0.79 inference(scs_inference,[],[30,28,25,24,26,124,85,87,160,190,132,94,105,136,89,146,69,163,47,65,63,62,57,56,55,49,44,40,38,37,34,64,60,58,39,41,66,54,48,46,45,43])). 0.59/0.79 cnf(214,plain, 0.59/0.79 (P4(f6(x2141,f6(x2142,a1)),f6(f6(x2142,x2141),a1))), 0.59/0.79 inference(scs_inference,[],[30,28,25,24,26,124,85,87,160,190,141,132,94,105,136,89,146,69,163,47,65,63,62,57,56,55,49,44,40,38,37,34,64,60,58,39,41,66,54,48,46,45,43,22,20])). 0.59/0.79 cnf(215,plain, 0.59/0.79 (E(f6(f6(x2151,a1),x2152),f6(f6(x2151,x2152),a1))), 0.59/0.79 inference(rename_variables,[],[28])). 0.59/0.79 cnf(216,plain, 0.59/0.79 (P4(f6(x2161,x2162),f6(x2162,x2161))), 0.59/0.79 inference(rename_variables,[],[141])). 0.59/0.79 cnf(217,plain, 0.59/0.79 (P4(f6(f6(x2171,x2172),a1),f6(x2172,f6(x2171,a1)))), 0.59/0.79 inference(scs_inference,[],[30,28,215,25,24,26,124,85,87,160,190,141,216,132,94,105,136,89,146,69,163,47,65,63,62,57,56,55,49,44,40,38,37,34,64,60,58,39,41,66,54,48,46,45,43,22,20,19])). 0.59/0.79 cnf(218,plain, 0.59/0.79 (E(f6(f6(x2181,a1),x2182),f6(f6(x2181,x2182),a1))), 0.59/0.79 inference(rename_variables,[],[28])). 0.59/0.79 cnf(219,plain, 0.59/0.79 (P4(f6(x2191,x2192),f6(x2192,x2191))), 0.59/0.79 inference(rename_variables,[],[141])). 0.59/0.79 cnf(230,plain, 0.59/0.79 (~E(f6(x2301,a1),x2301)), 0.59/0.79 inference(rename_variables,[],[32])). 0.59/0.79 cnf(245,plain, 0.59/0.79 (~E(a9,a7)), 0.59/0.79 inference(scs_inference,[],[30,32,230,28,215,218,25,24,26,79,124,85,87,160,190,139,141,216,219,96,134,132,94,105,136,71,89,146,69,163,166,47,65,63,62,57,56,55,49,44,40,38,37,34,64,60,58,39,41,66,54,48,46,45,43,22,20,19,18,17,15,61,59,51,52,21,16,3,4,2,50,5])). 0.59/0.79 cnf(247,plain, 0.59/0.79 (P3(f6(x2471,x2472),f6(f6(x2473,x2471),x2472))), 0.59/0.79 inference(scs_inference,[],[75,65])). 0.59/0.79 cnf(263,plain, 0.59/0.79 (~P3(f6(x2631,f6(a9,a8)),f6(a7,a8))), 0.59/0.79 inference(scs_inference,[],[68,26,150,75,162,65,57,49,44,40,38,37,34,60])). 0.59/0.79 cnf(264,plain, 0.59/0.79 (~P3(f6(x2641,x2642),x2642)), 0.59/0.79 inference(rename_variables,[],[162])). 0.59/0.79 cnf(270,plain, 0.59/0.79 (P3(a9,a7)), 0.59/0.79 inference(scs_inference,[],[68,26,245,150,75,162,79,65,57,49,44,40,38,37,34,60,63,39,41])). 0.59/0.79 cnf(291,plain, 0.59/0.79 (~P3(f6(x2911,x2912),x2912)), 0.59/0.79 inference(rename_variables,[],[162])). 0.59/0.79 cnf(295,plain, 0.59/0.79 (P1(f6(f6(x2951,x2952),x2953),f6(x2952,x2953))), 0.59/0.79 inference(scs_inference,[],[68,33,69,26,245,118,150,73,75,162,264,210,192,79,65,57,49,44,40,38,37,34,60,63,39,41,56,55,54,48,43,64,62,45,58,50,66])). 0.59/0.79 cnf(300,plain, 0.59/0.79 (E(f6(x3001,x3002),f6(x3002,x3001))), 0.59/0.79 inference(rename_variables,[],[24])). 0.59/0.79 cnf(302,plain, 0.59/0.79 (P4(f6(x3021,f6(x3022,a1)),f6(f6(x3022,x3021),a1))), 0.59/0.79 inference(rename_variables,[],[214])). 0.59/0.79 cnf(312,plain, 0.59/0.79 (~P4(f6(x3121,f6(a9,a8)),f6(a7,a8))), 0.59/0.79 inference(scs_inference,[],[24,300,68,33,69,29,25,26,245,118,150,73,75,162,264,291,210,192,170,214,302,217,79,65,57,49,44,40,38,37,34,60,63,39,41,56,55,54,48,43,64,62,45,58,50,66,46,20,19,17,15,61,59])). 0.59/0.79 cnf(346,plain, 0.59/0.79 ($false), 0.59/0.79 inference(scs_inference,[],[24,26,270,295,77,263,312,247,210,44,57,49,38,37,60,65]), 0.59/0.79 ['proof']). 0.59/0.79 % SZS output end Proof 0.59/0.79 % Total time :0.150000s 0.59/0.80 EOF