%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM839+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 12:26:40 EDT 2024
% Result : Theorem 0.55s 0.90s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM839+1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n001.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 : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jun 22 22:52:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.50/0.58 start to proof:theBenchmark
% 0.55/0.89 %-------------------------------------------
% 0.55/0.89 % File :CSE---1.7
% 0.55/0.89 % Problem :theBenchmark
% 0.55/0.89 % Transform :cnf
% 0.55/0.89 % Format :tptp:raw
% 0.55/0.89 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.89
% 0.55/0.89 % Result :Theorem 0.270000s
% 0.55/0.89 % Output :CNFRefutation 0.270000s
% 0.55/0.89 %-------------------------------------------
% 0.55/0.89 %------------------------------------------------------------------------------
% 0.55/0.89 % File : NUM839+1 : TPTP v8.2.0. Released v4.1.0.
% 0.55/0.89 % Domain : Number Theory
% 0.55/0.89 % Problem : holds(conseq(204),332,0)
% 0.55/0.89 % Version : Especial.
% 0.55/0.89 % English :
% 0.55/0.89
% 0.55/0.89 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.55/0.89 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.55/0.89 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.55/0.89 % Source : [Kue09]
% 0.55/0.89 % Names :
% 0.55/0.89
% 0.55/0.89 % Status : Theorem
% 0.55/0.89 % Rating : 0.22 v8.2.0, 0.25 v8.1.0, 0.31 v7.4.0, 0.30 v7.3.0, 0.34 v7.2.0, 0.31 v7.1.0, 0.39 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.33 v6.2.0, 0.32 v6.1.0, 0.30 v5.5.0, 0.33 v5.4.0, 0.32 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.33 v4.1.0
% 0.55/0.89 % Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% 0.55/0.89 % Number of atoms : 73 ( 35 equ)
% 0.55/0.89 % Maximal formula atoms : 5 ( 1 avg)
% 0.55/0.89 % Number of connectives : 56 ( 20 ~; 13 |; 5 &)
% 0.55/0.89 % ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% 0.55/0.89 % Maximal formula depth : 7 ( 4 avg)
% 0.55/0.89 % Maximal term depth : 3 ( 1 avg)
% 0.55/0.89 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.55/0.89 % Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.55/0.89 % Number of variables : 82 ( 74 !; 8 ?)
% 0.55/0.89 % SPC : FOF_THM_RFO_SEQ
% 0.55/0.89
% 0.55/0.89 % Comments : From the Landau in Naproche 0.45 collection.
% 0.55/0.89 %------------------------------------------------------------------------------
% 0.55/0.89 fof('holds(conseq(204), 332, 0)',conjecture,
% 0.55/0.89 greater(vd328,vd329) ).
% 0.55/0.89
% 0.55/0.89 fof('holds(antec(204), 331, 0)',axiom,
% 0.55/0.89 greater(vplus(vd328,vd330),vplus(vd329,vd330)) ).
% 0.55/0.89
% 0.55/0.89 fof('ass(cond(goal(193), 0), 0)',axiom,
% 0.55/0.89 ! [Vd301,Vd302,Vd303] :
% 0.55/0.89 ( less(Vd301,Vd302)
% 0.55/0.89 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.55/0.89
% 0.55/0.89 fof('ass(cond(goal(193), 0), 1)',axiom,
% 0.55/0.89 ! [Vd301,Vd302,Vd303] :
% 0.55/0.89 ( Vd301 = Vd302
% 0.55/0.89 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 0.55/0.89
% 0.55/0.89 fof('ass(cond(goal(193), 0), 2)',axiom,
% 0.55/0.89 ! [Vd301,Vd302,Vd303] :
% 0.55/0.89 ( greater(Vd301,Vd302)
% 0.55/0.89 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.55/0.89
% 0.55/0.89 fof('ass(cond(189, 0), 0)',axiom,
% 0.55/0.89 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ).
% 0.55/0.89
% 0.55/0.89 fof('ass(cond(184, 0), 0)',axiom,
% 0.55/0.89 ! [Vd289,Vd290,Vd292] :
% 0.55/0.89 ( ( leq(Vd290,Vd292)
% 0.55/0.89 & leq(Vd289,Vd290) )
% 0.55/0.89 => leq(Vd289,Vd292) ) ).
% 0.55/0.89
% 0.55/0.89 fof('ass(cond(goal(177), 0), 0)',axiom,
% 0.55/0.89 ! [Vd281,Vd282,Vd283] :
% 0.55/0.89 ( ( ( less(Vd282,Vd283)
% 0.55/0.89 & leq(Vd281,Vd282) )
% 0.55/0.90 | ( leq(Vd282,Vd283)
% 0.55/0.90 & less(Vd281,Vd282) ) )
% 0.55/0.90 => less(Vd281,Vd283) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(168, 0), 0)',axiom,
% 0.55/0.90 ! [Vd262,Vd263,Vd265] :
% 0.55/0.90 ( ( less(Vd263,Vd265)
% 0.55/0.90 & less(Vd262,Vd263) )
% 0.55/0.90 => less(Vd262,Vd265) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(163, 0), 0)',axiom,
% 0.55/0.90 ! [Vd258,Vd259] :
% 0.55/0.90 ( leq(Vd258,Vd259)
% 0.55/0.90 => geq(Vd259,Vd258) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(158, 0), 0)',axiom,
% 0.55/0.90 ! [Vd254,Vd255] :
% 0.55/0.90 ( geq(Vd254,Vd255)
% 0.55/0.90 => leq(Vd255,Vd254) ) ).
% 0.55/0.90
% 0.55/0.90 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
% 0.55/0.90 ! [Vd249,Vd250] :
% 0.55/0.90 ( leq(Vd250,Vd249)
% 0.55/0.90 <=> ( less(Vd250,Vd249)
% 0.55/0.90 | Vd250 = Vd249 ) ) ).
% 0.55/0.90
% 0.55/0.90 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
% 0.55/0.90 ! [Vd244,Vd245] :
% 0.55/0.90 ( geq(Vd245,Vd244)
% 0.55/0.90 <=> ( greater(Vd245,Vd244)
% 0.55/0.90 | Vd245 = Vd244 ) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(147, 0), 0)',axiom,
% 0.55/0.90 ! [Vd226,Vd227] :
% 0.55/0.90 ( less(Vd226,Vd227)
% 0.55/0.90 => greater(Vd227,Vd226) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(140, 0), 0)',axiom,
% 0.55/0.90 ! [Vd208,Vd209] :
% 0.55/0.90 ( greater(Vd208,Vd209)
% 0.55/0.90 => less(Vd209,Vd208) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.55/0.90 ! [Vd203,Vd204] :
% 0.55/0.90 ( Vd203 = Vd204
% 0.55/0.90 | greater(Vd203,Vd204)
% 0.55/0.90 | less(Vd203,Vd204) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.55/0.90 ! [Vd203,Vd204] :
% 0.55/0.90 ( Vd203 != Vd204
% 0.55/0.90 | ~ less(Vd203,Vd204) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.55/0.90 ! [Vd203,Vd204] :
% 0.55/0.90 ( ~ greater(Vd203,Vd204)
% 0.55/0.90 | ~ less(Vd203,Vd204) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.55/0.90 ! [Vd203,Vd204] :
% 0.55/0.90 ( Vd203 != Vd204
% 0.55/0.90 | ~ greater(Vd203,Vd204) ) ).
% 0.55/0.90
% 0.55/0.90 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.55/0.90 ! [Vd198,Vd199] :
% 0.55/0.90 ( less(Vd199,Vd198)
% 0.55/0.90 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.55/0.90
% 0.55/0.90 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.55/0.90 ! [Vd193,Vd194] :
% 0.55/0.90 ( greater(Vd194,Vd193)
% 0.55/0.90 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.55/0.90 ! [Vd120,Vd121] :
% 0.55/0.90 ( Vd120 = Vd121
% 0.55/0.90 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.55/0.90 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.55/0.90 ! [Vd120,Vd121] :
% 0.55/0.90 ( Vd120 != Vd121
% 0.55/0.90 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.55/0.90 ! [Vd120,Vd121] :
% 0.55/0.90 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.55/0.90 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.55/0.90 ! [Vd120,Vd121] :
% 0.55/0.90 ( Vd120 != Vd121
% 0.55/0.90 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(81, 0), 0)',axiom,
% 0.55/0.90 ! [Vd104,Vd105] :
% 0.55/0.90 ( Vd104 != Vd105
% 0.55/0.90 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(73, 0), 0)',axiom,
% 0.55/0.90 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(61, 0), 0)',axiom,
% 0.55/0.90 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(52, 0), 0)',axiom,
% 0.55/0.90 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(43, 0), 0)',axiom,
% 0.55/0.90 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(33, 0), 0)',axiom,
% 0.55/0.90 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.55/0.90
% 0.55/0.90 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.55/0.90 ! [Vd42,Vd43] :
% 0.55/0.90 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.55/0.90 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(20, 0), 0)',axiom,
% 0.55/0.90 ! [Vd24] :
% 0.55/0.90 ( Vd24 != v1
% 0.55/0.90 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(12, 0), 0)',axiom,
% 0.55/0.90 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.55/0.90
% 0.55/0.90 fof('ass(cond(6, 0), 0)',axiom,
% 0.55/0.90 ! [Vd7,Vd8] :
% 0.55/0.90 ( Vd7 != Vd8
% 0.55/0.90 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.55/0.90
% 0.55/0.90 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
% 0.55/0.90 ! [Vd3,Vd4] :
% 0.55/0.90 ( vsucc(Vd3) = vsucc(Vd4)
% 0.55/0.90 => Vd3 = Vd4 ) ).
% 0.55/0.90
% 0.55/0.90 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
% 0.55/0.90 ! [Vd1] : vsucc(Vd1) != v1 ).
% 0.55/0.90
% 0.55/0.90 %------------------------------------------------------------------------------
% 0.55/0.90 %-------------------------------------------
% 0.55/0.90 % Proof found
% 0.55/0.90 % SZS status Theorem for theBenchmark
% 0.55/0.90 % SZS output start Proof
% 0.55/0.90 %ClaNum:65(EqnAxiom:22)
% 0.55/0.90 %VarNum:181(SingletonVarNum:86)
% 0.55/0.90 %MaxLitNum:3
% 0.55/0.90 %MaxfuncDepth:2
% 0.55/0.90 %SharedTerms:8
% 0.55/0.90 %goalClause: 30
% 0.55/0.90 %singleGoalClaCount:1
% 0.55/0.90 [30]~P1(a7,a9)
% 0.55/0.90 [26]P1(f6(a7,a8),f6(a9,a8))
% 0.55/0.90 [32]~E(f6(x321,a1),x321)
% 0.55/0.90 [24]E(f6(x241,x242),f6(x242,x241))
% 0.55/0.90 [25]P1(f6(x251,x252),x251)
% 0.55/0.90 [33]~E(f6(x331,x332),x332)
% 0.55/0.90 [28]E(f6(f6(x281,a1),x282),f6(f6(x281,x282),a1))
% 0.55/0.90 [29]E(f6(f6(x291,x292),x293),f6(x291,f6(x292,x293)))
% 0.55/0.90 [36]E(x361,a1)+E(f6(f10(x361),a1),x361)
% 0.55/0.90 [34]~E(x341,x342)+P3(x341,x342)
% 0.55/0.90 [35]~E(x351,x352)+P2(x351,x352)
% 0.55/0.90 [37]~P1(x371,x372)+~E(x371,x372)
% 0.55/0.90 [38]~P4(x381,x382)+~E(x381,x382)
% 0.55/0.90 [42]~P4(x422,x421)+P1(x421,x422)
% 0.55/0.90 [43]~P1(x432,x431)+P4(x431,x432)
% 0.55/0.90 [44]~P2(x442,x441)+P3(x441,x442)
% 0.55/0.90 [45]~P4(x451,x452)+P3(x451,x452)
% 0.55/0.90 [46]~P3(x462,x461)+P2(x461,x462)
% 0.55/0.90 [47]~P1(x471,x472)+P2(x471,x472)
% 0.55/0.90 [54]~P4(x541,x542)+~P1(x541,x542)
% 0.55/0.90 [53]E(x531,x532)+~E(f6(x531,a1),f6(x532,a1))
% 0.55/0.90 [61]~P4(x611,x612)+E(f6(x611,f2(x612,x611)),x612)
% 0.55/0.90 [62]~P1(x622,x621)+E(f6(x621,f3(x621,x622)),x622)
% 0.55/0.90 [39]~E(x391,x392)+~E(x392,f6(x391,x393))
% 0.55/0.90 [40]~E(x401,x402)+~E(x401,f6(x402,x403))
% 0.55/0.90 [48]P1(x481,x482)+~E(x481,f6(x482,x483))
% 0.55/0.90 [49]P4(x491,x492)+~E(x492,f6(x491,x493))
% 0.55/0.90 [55]E(x551,x552)+~E(f6(x553,x551),f6(x553,x552))
% 0.55/0.90 [64]~P1(x641,x643)+P1(f6(x641,x642),f6(x643,x642))
% 0.55/0.90 [65]~P4(x651,x653)+P4(f6(x651,x652),f6(x653,x652))
% 0.55/0.90 [56]~E(x561,f6(x562,x563))+~E(x562,f6(x561,x564))
% 0.55/0.90 [41]P1(x411,x412)+P4(x411,x412)+E(x411,x412)
% 0.55/0.90 [50]P1(x501,x502)+~P2(x501,x502)+E(x501,x502)
% 0.55/0.90 [51]P4(x511,x512)+~P3(x511,x512)+E(x511,x512)
% 0.55/0.90 [63]E(x631,x632)+E(f6(x631,f4(x631,x632)),x632)+E(f6(x632,f5(x631,x632)),x631)
% 0.55/0.90 [57]~P4(x573,x572)+P4(x571,x572)+~P4(x571,x573)
% 0.55/0.90 [58]~P3(x583,x582)+P4(x581,x582)+~P4(x581,x583)
% 0.55/0.90 [59]~P3(x591,x593)+P4(x591,x592)+~P4(x593,x592)
% 0.55/0.90 [60]~P3(x603,x602)+P3(x601,x602)+~P3(x601,x603)
% 0.55/0.90 %EqnAxiom
% 0.55/0.90 [1]E(x11,x11)
% 0.55/0.90 [2]E(x22,x21)+~E(x21,x22)
% 0.55/0.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/0.90 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.55/0.90 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.55/0.90 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.55/0.90 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.55/0.90 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.55/0.90 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.55/0.90 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 0.55/0.90 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 0.55/0.90 [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123))
% 0.55/0.90 [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132))
% 0.55/0.90 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 0.55/0.90 [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153)
% 0.55/0.90 [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161)
% 0.55/0.90 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 0.55/0.90 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 0.55/0.90 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.55/0.90 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.55/0.90 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 0.55/0.90 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 0.55/0.90
% 0.55/0.90 %-------------------------------------------
% 0.55/0.90 cnf(66,plain,
% 0.55/0.90 (P3(x661,x661)),
% 0.55/0.90 inference(equality_inference,[],[34])).
% 0.55/0.90 cnf(67,plain,
% 0.55/0.90 (P2(x671,x671)),
% 0.55/0.90 inference(equality_inference,[],[35])).
% 0.55/0.90 cnf(68,plain,
% 0.55/0.90 (~P1(x681,x681)),
% 0.55/0.90 inference(equality_inference,[],[37])).
% 0.55/0.90 cnf(69,plain,
% 0.55/0.90 (~P4(x691,x691)),
% 0.55/0.90 inference(equality_inference,[],[38])).
% 0.55/0.90 cnf(71,plain,
% 0.55/0.90 (P4(x711,f6(x711,x712))),
% 0.55/0.90 inference(equality_inference,[],[49])).
% 0.55/0.90 cnf(74,plain,
% 0.55/0.90 (~P4(a9,a7)),
% 0.55/0.90 inference(scs_inference,[],[30,42])).
% 0.55/0.90 cnf(76,plain,
% 0.55/0.90 (P1(f6(x761,x762),x762)),
% 0.55/0.90 inference(scs_inference,[],[30,24,42,48])).
% 0.55/0.90 cnf(78,plain,
% 0.55/0.90 (P4(x781,f6(x782,x781))),
% 0.55/0.90 inference(scs_inference,[],[30,24,42,48,49])).
% 0.55/0.90 cnf(80,plain,
% 0.55/0.90 (~P1(f6(x801,x802),f6(x802,x801))),
% 0.55/0.90 inference(scs_inference,[],[30,24,42,48,49,37])).
% 0.55/0.90 cnf(82,plain,
% 0.55/0.90 (~P4(f6(x821,x822),f6(x822,x821))),
% 0.55/0.90 inference(scs_inference,[],[30,24,42,48,49,37,38])).
% 0.55/0.90 cnf(86,plain,
% 0.55/0.90 (~E(f6(f6(x861,x862),x863),x861)),
% 0.55/0.90 inference(scs_inference,[],[30,24,29,42,48,49,37,38,39,40])).
% 0.55/0.91 cnf(92,plain,
% 0.55/0.91 (~P1(x921,f6(x921,x922))),
% 0.55/0.91 inference(scs_inference,[],[30,24,25,29,42,48,49,37,38,39,40,54,56,62])).
% 0.55/0.91 cnf(94,plain,
% 0.55/0.91 (E(f6(f6(x941,x942),a1),f6(f6(x941,a1),x942))),
% 0.55/0.91 inference(scs_inference,[],[30,24,25,29,28,42,48,49,37,38,39,40,54,56,62,2])).
% 0.55/0.91 cnf(96,plain,
% 0.55/0.91 (~E(f6(a9,x961),a7)),
% 0.55/0.91 inference(scs_inference,[],[30,24,25,29,28,42,48,49,37,38,39,40,54,56,62,2,4,15])).
% 0.55/0.91 cnf(97,plain,
% 0.55/0.91 (P1(f6(x971,x972),x971)),
% 0.55/0.91 inference(rename_variables,[],[25])).
% 0.55/0.91 cnf(98,plain,
% 0.55/0.91 (~E(x981,f6(x981,x982))),
% 0.55/0.91 inference(scs_inference,[],[30,68,24,25,97,29,28,42,48,49,37,38,39,40,54,56,62,2,4,15,16])).
% 0.55/0.91 cnf(100,plain,
% 0.55/0.91 (P4(x1001,f6(x1002,f6(x1001,x1003)))),
% 0.55/0.91 inference(scs_inference,[],[30,71,68,24,25,97,29,28,42,48,49,37,38,39,40,54,56,62,2,4,15,16,57])).
% 0.55/0.91 cnf(101,plain,
% 0.55/0.91 (P4(x1011,f6(x1011,x1012))),
% 0.55/0.91 inference(rename_variables,[],[71])).
% 0.55/0.91 cnf(106,plain,
% 0.55/0.91 (P3(x1061,x1061)),
% 0.55/0.91 inference(rename_variables,[],[66])).
% 0.55/0.91 cnf(107,plain,
% 0.55/0.91 (E(f6(x1071,x1072),f6(x1072,x1071))),
% 0.55/0.91 inference(rename_variables,[],[24])).
% 0.55/0.91 cnf(108,plain,
% 0.55/0.91 (P3(f6(x1081,x1082),f6(x1082,x1081))),
% 0.55/0.91 inference(scs_inference,[],[30,71,101,68,69,66,106,24,107,25,97,29,28,42,48,49,37,38,39,40,54,56,62,2,4,15,16,57,18,19,20])).
% 0.55/0.91 cnf(110,plain,
% 0.55/0.91 (P2(f6(x1101,x1102),f6(x1102,x1101))),
% 0.55/0.91 inference(scs_inference,[],[30,71,101,68,69,66,106,67,24,107,25,97,29,28,42,48,49,37,38,39,40,54,56,62,2,4,15,16,57,18,19,20,21])).
% 0.55/0.91 cnf(118,plain,
% 0.55/0.91 (P1(f6(f6(x1181,x1182),a1),f6(x1181,a1))),
% 0.55/0.91 inference(scs_inference,[],[94,48])).
% 0.55/0.91 cnf(128,plain,
% 0.55/0.91 (~P4(f6(f6(x1281,a1),x1282),f6(f6(x1281,x1282),a1))),
% 0.55/0.91 inference(scs_inference,[],[94,48,37,39,38,56,42])).
% 0.55/0.91 cnf(133,plain,
% 0.55/0.91 (~P4(f6(x1331,x1332),x1332)),
% 0.55/0.91 inference(scs_inference,[],[76,94,48,37,39,38,56,42,4,40,54])).
% 0.55/0.91 cnf(135,plain,
% 0.55/0.91 (P4(f6(x1351,a1),f6(f6(x1351,x1352),a1))),
% 0.55/0.91 inference(scs_inference,[],[76,94,48,37,39,38,56,42,4,40,54,49])).
% 0.55/0.91 cnf(137,plain,
% 0.55/0.91 (E(f6(x1371,f6(x1372,x1373)),f6(f6(x1371,x1372),x1373))),
% 0.55/0.91 inference(scs_inference,[],[76,94,29,48,37,39,38,56,42,4,40,54,49,2])).
% 0.55/0.91 cnf(138,plain,
% 0.55/0.91 (P4(x1381,f6(f6(x1381,x1382),x1383))),
% 0.55/0.91 inference(scs_inference,[],[76,108,100,94,29,48,37,39,38,56,42,4,40,54,49,2,58])).
% 0.55/0.91 cnf(139,plain,
% 0.55/0.91 (P4(x1391,f6(x1392,f6(x1391,x1393)))),
% 0.55/0.91 inference(rename_variables,[],[100])).
% 0.55/0.91 cnf(140,plain,
% 0.55/0.91 (P3(f6(x1401,x1402),f6(x1402,x1401))),
% 0.55/0.91 inference(rename_variables,[],[108])).
% 0.55/0.91 cnf(142,plain,
% 0.55/0.91 (P4(f6(x1421,x1422),f6(x1423,f6(x1422,x1421)))),
% 0.55/0.91 inference(scs_inference,[],[76,78,108,140,100,94,29,48,37,39,38,56,42,4,40,54,49,2,58,59])).
% 0.55/0.91 cnf(143,plain,
% 0.55/0.91 (P4(x1431,f6(x1432,x1431))),
% 0.55/0.91 inference(rename_variables,[],[78])).
% 0.55/0.91 cnf(145,plain,
% 0.55/0.91 (P2(f6(a1,f6(x1451,x1452)),f6(f6(x1451,a1),x1452))),
% 0.55/0.91 inference(scs_inference,[],[76,78,108,140,110,100,94,29,48,37,39,38,56,42,4,40,54,49,2,58,59,22])).
% 0.55/0.91 cnf(146,plain,
% 0.55/0.91 (P2(f6(x1461,x1462),f6(x1462,x1461))),
% 0.55/0.91 inference(rename_variables,[],[110])).
% 0.55/0.91 cnf(149,plain,
% 0.55/0.91 (~E(f6(a9,a8),f6(a8,a7))),
% 0.55/0.91 inference(scs_inference,[],[76,78,69,80,108,140,110,100,94,26,29,48,37,39,38,56,42,4,40,54,49,2,58,59,22,17,16])).
% 0.55/0.91 cnf(151,plain,
% 0.55/0.91 (P3(f6(f6(x1511,a1),x1512),f6(a1,f6(x1511,x1512)))),
% 0.55/0.91 inference(scs_inference,[],[76,78,69,80,108,140,110,100,94,26,29,48,37,39,38,56,42,4,40,54,49,2,58,59,22,17,16,19])).
% 0.55/0.91 cnf(152,plain,
% 0.55/0.91 (P3(f6(x1521,x1522),f6(x1522,x1521))),
% 0.55/0.91 inference(rename_variables,[],[108])).
% 0.55/0.91 cnf(153,plain,
% 0.55/0.91 (P3(f6(a1,f6(x1531,x1532)),f6(f6(x1531,a1),x1532))),
% 0.55/0.91 inference(scs_inference,[],[76,78,69,80,108,140,152,110,100,94,26,29,48,37,39,38,56,42,4,40,54,49,2,58,59,22,17,16,19,20])).
% 0.55/0.91 cnf(154,plain,
% 0.55/0.91 (P3(f6(x1541,x1542),f6(x1542,x1541))),
% 0.55/0.91 inference(rename_variables,[],[108])).
% 0.55/0.91 cnf(155,plain,
% 0.55/0.91 (P2(f6(f6(x1551,a1),x1552),f6(a1,f6(x1551,x1552)))),
% 0.55/0.91 inference(scs_inference,[],[76,78,69,80,108,140,152,110,146,100,94,26,29,48,37,39,38,56,42,4,40,54,49,2,58,59,22,17,16,19,20,21])).
% 0.55/0.91 cnf(157,plain,
% 0.55/0.91 (P4(x1571,f6(f6(x1572,x1571),x1573))),
% 0.55/0.91 inference(scs_inference,[],[76,78,143,71,69,80,108,140,152,110,146,100,94,26,29,48,37,39,38,56,42,4,40,54,49,2,58,59,22,17,16,19,20,21,57])).
% 0.55/0.91 cnf(160,plain,
% 0.55/0.91 (~E(f6(x1601,a9),a7)),
% 0.55/0.91 inference(scs_inference,[],[30,76,78,143,71,69,80,108,140,152,110,146,100,94,26,29,48,37,39,38,56,42,4,40,54,49,2,58,59,22,17,16,19,20,21,57,15])).
% 0.55/0.91 cnf(168,plain,
% 0.55/0.91 (P3(f6(f6(x1681,a1),x1682),f6(f6(x1681,x1682),a1))),
% 0.55/0.91 inference(scs_inference,[],[30,74,76,98,78,143,71,69,80,108,140,152,154,110,146,100,139,94,26,29,28,48,37,39,38,56,42,4,40,54,49,2,58,59,22,17,16,19,20,21,57,15,18,3,43,60])).
% 0.55/0.91 cnf(173,plain,
% 0.55/0.91 (~P1(x1731,f6(x1732,x1731))),
% 0.55/0.91 inference(scs_inference,[],[133,137,37,43])).
% 0.55/0.91 cnf(175,plain,
% 0.55/0.91 (~P4(f6(x1751,f6(x1752,x1753)),f6(f6(x1751,x1752),x1753))),
% 0.55/0.91 inference(scs_inference,[],[133,137,37,43,38])).
% 0.55/0.91 cnf(177,plain,
% 0.55/0.91 (P1(f6(x1771,f6(x1772,x1773)),f6(x1771,x1772))),
% 0.55/0.91 inference(scs_inference,[],[133,137,37,43,38,48])).
% 0.55/0.91 cnf(179,plain,
% 0.55/0.91 (~P4(f6(f6(x1791,x1792),x1793),f6(x1791,f6(x1792,x1793)))),
% 0.55/0.91 inference(scs_inference,[],[133,137,37,43,38,48,42])).
% 0.55/0.91 cnf(185,plain,
% 0.55/0.91 (~P4(f6(f6(x1851,x1852),a1),f6(x1851,a1))),
% 0.55/0.91 inference(scs_inference,[],[118,133,137,37,43,38,48,42,39,56,54])).
% 0.55/0.91 cnf(189,plain,
% 0.55/0.91 (P4(f6(x1891,x1892),f6(x1891,f6(x1892,x1893)))),
% 0.55/0.91 inference(scs_inference,[],[118,133,137,37,43,38,48,42,39,56,54,40,49])).
% 0.55/0.91 cnf(192,plain,
% 0.55/0.91 (P4(x1921,f6(x1922,x1921))),
% 0.55/0.91 inference(rename_variables,[],[78])).
% 0.55/0.91 cnf(194,plain,
% 0.55/0.91 (P2(f6(f6(x1941,a1),x1942),f6(f6(a1,x1941),x1942))),
% 0.55/0.91 inference(scs_inference,[],[118,78,133,137,151,155,37,43,38,48,42,39,56,54,40,49,58,22])).
% 0.55/0.91 cnf(196,plain,
% 0.55/0.91 (E(f6(x1961,f6(x1962,x1963)),f6(f6(x1961,x1962),x1963))),
% 0.55/0.91 inference(rename_variables,[],[137])).
% 0.55/0.91 cnf(197,plain,
% 0.55/0.91 (E(f6(a7,f5(f6(a7,a9),a7)),f6(a7,a9))),
% 0.55/0.91 inference(scs_inference,[],[118,160,78,133,137,86,151,155,37,43,38,48,42,39,56,54,40,49,58,22,63])).
% 0.55/0.91 cnf(201,plain,
% 0.55/0.91 (P3(f6(f6(a1,x2011),x2012),f6(f6(x2011,a1),x2012))),
% 0.55/0.91 inference(scs_inference,[],[118,160,78,133,137,196,86,151,153,155,37,43,38,48,42,39,56,54,40,49,58,22,63,19])).
% 0.55/0.91 cnf(203,plain,
% 0.55/0.91 (E(f6(x2031,f6(x2032,x2033)),f6(f6(x2031,x2032),x2033))),
% 0.55/0.91 inference(rename_variables,[],[137])).
% 0.55/0.91 cnf(204,plain,
% 0.55/0.91 (P3(f6(f6(x2041,a1),x2042),f6(f6(a1,x2041),x2042))),
% 0.55/0.91 inference(scs_inference,[],[118,160,78,133,137,196,203,86,151,153,155,37,43,38,48,42,39,56,54,40,49,58,22,63,19,20])).
% 0.55/0.91 cnf(206,plain,
% 0.55/0.91 (E(f6(x2061,f6(x2062,x2063)),f6(f6(x2061,x2062),x2063))),
% 0.55/0.91 inference(rename_variables,[],[137])).
% 0.55/0.91 cnf(210,plain,
% 0.55/0.91 (~P1(x2101,f6(x2101,x2102))),
% 0.55/0.91 inference(rename_variables,[],[92])).
% 0.55/0.91 cnf(211,plain,
% 0.55/0.91 (P2(f6(f6(a1,x2111),x2112),f6(f6(x2111,a1),x2112))),
% 0.55/0.91 inference(scs_inference,[],[118,160,78,69,92,133,137,196,203,206,142,86,145,151,153,155,26,37,43,38,48,42,39,56,54,40,49,58,22,63,19,20,17,16,21])).
% 0.55/0.91 cnf(217,plain,
% 0.55/0.91 (~E(f6(a7,a8),a9)),
% 0.55/0.91 inference(scs_inference,[],[118,160,135,78,192,69,92,210,133,137,196,203,206,142,86,145,151,153,155,26,37,43,38,48,42,39,56,54,40,49,58,22,63,19,20,17,16,21,57,15])).
% 0.55/0.91 cnf(219,plain,
% 0.55/0.91 (~E(f6(a9,a8),f6(a7,a8))),
% 0.55/0.91 inference(scs_inference,[],[118,149,160,135,78,192,69,92,210,133,137,196,203,206,142,86,145,151,153,155,26,24,37,43,38,48,42,39,56,54,40,49,58,22,63,19,20,17,16,21,57,15,3])).
% 0.55/0.91 cnf(221,plain,
% 0.55/0.91 (~E(f6(f6(a9,x2211),x2212),a7)),
% 0.55/0.91 inference(scs_inference,[],[74,118,149,160,135,78,192,69,92,210,133,137,196,203,206,142,86,138,145,151,153,155,26,24,37,43,38,48,42,39,56,54,40,49,58,22,63,19,20,17,16,21,57,15,3,18])).
% 0.55/0.91 cnf(223,plain,
% 0.55/0.91 (E(f5(f6(a7,a9),a7),a9)),
% 0.55/0.91 inference(scs_inference,[],[74,118,149,160,135,78,192,69,92,210,133,137,196,203,206,142,86,138,145,151,153,155,26,24,37,43,38,48,42,39,56,54,40,49,58,22,63,19,20,17,16,21,57,15,3,18,55])).
% 0.55/0.91 cnf(228,plain,
% 0.55/0.91 (E(f6(a7,a9),f6(a7,f5(f6(a7,a9),a7)))),
% 0.55/0.91 inference(scs_inference,[],[74,118,149,160,135,78,192,69,92,210,133,137,196,203,206,142,86,138,145,151,153,155,26,24,37,43,38,48,42,39,56,54,40,49,58,22,63,19,20,17,16,21,57,15,3,18,55,61,4,2])).
% 0.55/0.91 cnf(231,plain,
% 0.55/0.91 (E(a9,f5(f6(a7,a9),a7))),
% 0.55/0.91 inference(scs_inference,[],[228,55])).
% 0.55/0.91 cnf(233,plain,
% 0.55/0.91 (~P1(f6(f6(x2331,x2332),x2333),f6(x2331,f6(x2332,x2333)))),
% 0.55/0.91 inference(scs_inference,[],[175,228,55,43])).
% 0.55/0.91 cnf(238,plain,
% 0.55/0.91 (P1(f6(f6(x2381,x2382),x2383),x2381)),
% 0.55/0.91 inference(scs_inference,[],[175,228,221,29,55,43,62,48])).
% 0.55/0.91 cnf(242,plain,
% 0.55/0.91 (~P4(f6(a7,f5(f6(a7,a9),a7)),f6(a7,a9))),
% 0.55/0.91 inference(scs_inference,[],[175,228,221,29,55,43,62,48,37,42])).
% 0.55/0.91 cnf(251,plain,
% 0.55/0.91 (~P4(f6(x2511,f6(x2512,x2513)),f6(x2511,x2512))),
% 0.55/0.91 inference(scs_inference,[],[177,175,228,219,221,29,28,55,43,62,48,37,42,38,56,40,4,54])).
% 0.55/0.91 cnf(253,plain,
% 0.55/0.91 (P4(f6(x2531,x2532),f6(f6(x2531,a1),x2532))),
% 0.55/0.91 inference(scs_inference,[],[177,175,228,219,221,29,28,55,43,62,48,37,42,38,56,40,4,54,49])).
% 0.55/0.91 cnf(256,plain,
% 0.55/0.91 (P4(f6(x2561,x2562),f6(x2561,f6(x2562,x2563)))),
% 0.55/0.91 inference(rename_variables,[],[189])).
% 0.55/0.91 cnf(258,plain,
% 0.55/0.91 (P1(a9,a7)),
% 0.55/0.91 inference(scs_inference,[],[74,177,189,175,201,228,219,221,29,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41])).
% 0.55/0.91 cnf(262,plain,
% 0.55/0.91 (P3(f6(f6(a1,x2621),x2622),f6(f6(x2621,a1),x2622))),
% 0.55/0.91 inference(rename_variables,[],[201])).
% 0.55/0.91 cnf(264,plain,
% 0.55/0.91 (P2(f6(f6(a1,x2641),x2642),f6(x2641,f6(a1,x2642)))),
% 0.55/0.91 inference(scs_inference,[],[74,177,189,135,175,201,211,228,219,221,29,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22])).
% 0.55/0.91 cnf(266,plain,
% 0.55/0.91 (E(f6(f6(x2661,x2662),x2663),f6(x2661,f6(x2662,x2663)))),
% 0.55/0.91 inference(rename_variables,[],[29])).
% 0.55/0.91 cnf(267,plain,
% 0.55/0.91 (E(f6(a7,f5(a9,a7)),a9)),
% 0.55/0.91 inference(scs_inference,[],[74,96,177,189,135,175,201,211,228,219,221,29,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63])).
% 0.55/0.91 cnf(270,plain,
% 0.55/0.91 (P3(f6(x2701,f6(a1,x2702)),f6(f6(a1,x2701),x2702))),
% 0.55/0.91 inference(scs_inference,[],[74,96,177,189,135,175,201,204,211,228,219,221,29,266,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19])).
% 0.55/0.91 cnf(272,plain,
% 0.55/0.91 (E(f6(f6(x2721,x2722),x2723),f6(x2721,f6(x2722,x2723)))),
% 0.55/0.91 inference(rename_variables,[],[29])).
% 0.55/0.91 cnf(273,plain,
% 0.55/0.91 (P4(f6(x2731,x2732),f6(f6(x2731,f6(x2732,x2733)),x2734))),
% 0.55/0.91 inference(scs_inference,[],[74,96,177,189,256,135,71,175,201,204,211,228,219,221,29,266,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57])).
% 0.55/0.91 cnf(276,plain,
% 0.55/0.91 (~E(f6(x2761,x2762),f6(x2763,f6(x2761,f6(x2762,x2764))))),
% 0.55/0.91 inference(scs_inference,[],[74,96,177,173,189,256,135,71,175,201,204,211,228,219,221,29,266,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57,16])).
% 0.55/0.91 cnf(277,plain,
% 0.55/0.91 (~P1(x2771,f6(x2772,x2771))),
% 0.55/0.91 inference(rename_variables,[],[173])).
% 0.55/0.91 cnf(278,plain,
% 0.55/0.91 (P2(f6(x2781,f6(a1,x2782)),f6(f6(a1,x2781),x2782))),
% 0.55/0.91 inference(scs_inference,[],[74,96,177,173,189,256,135,71,175,194,201,204,211,228,219,221,29,266,272,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57,16,21])).
% 0.55/0.91 cnf(280,plain,
% 0.55/0.91 (E(f6(f6(x2801,x2802),x2803),f6(x2801,f6(x2802,x2803)))),
% 0.55/0.91 inference(rename_variables,[],[29])).
% 0.55/0.91 cnf(283,plain,
% 0.55/0.91 (P3(f6(f6(a1,x2831),x2832),f6(x2831,f6(a1,x2832)))),
% 0.55/0.91 inference(scs_inference,[],[74,179,96,177,173,189,256,135,71,78,175,194,201,262,204,211,228,219,221,29,266,272,280,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57,16,21,17,20])).
% 0.55/0.91 cnf(284,plain,
% 0.55/0.91 (P3(f6(f6(a1,x2841),x2842),f6(f6(x2841,a1),x2842))),
% 0.55/0.91 inference(rename_variables,[],[201])).
% 0.55/0.91 cnf(286,plain,
% 0.55/0.91 (~E(f6(x2861,f6(x2862,x2863)),x2862)),
% 0.55/0.91 inference(scs_inference,[],[74,179,96,177,173,277,189,256,135,71,78,175,194,201,262,204,211,228,219,221,29,266,272,280,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57,16,21,17,20,15])).
% 0.55/0.91 cnf(291,plain,
% 0.55/0.91 (~E(f6(f6(x2911,x2912),x2913),x2912)),
% 0.55/0.91 inference(scs_inference,[],[74,179,96,177,173,277,217,189,256,135,71,78,175,194,201,262,204,211,228,219,221,223,29,266,272,280,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57,16,21,17,20,15,3,18,5])).
% 0.55/0.91 cnf(292,plain,
% 0.55/0.91 (E(a9,f6(a7,f5(a9,a7)))),
% 0.55/0.91 inference(scs_inference,[],[74,179,96,177,173,277,217,189,256,135,71,78,175,194,201,262,204,211,228,219,221,223,29,266,272,280,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57,16,21,17,20,15,3,18,5,2])).
% 0.55/0.91 cnf(293,plain,
% 0.55/0.91 (P3(f6(x2931,f6(a1,x2932)),f6(f6(x2931,a1),x2932))),
% 0.55/0.91 inference(scs_inference,[],[74,179,96,177,173,277,217,189,256,135,71,78,175,194,201,262,284,204,211,228,219,221,223,29,266,272,280,28,55,43,62,48,37,42,38,56,40,4,54,49,59,41,58,22,63,19,57,16,21,17,20,15,3,18,5,2,60])).
% 0.55/0.91 cnf(297,plain,
% 0.55/0.91 (~P1(f6(x2971,x2972),f6(x2971,f6(x2972,x2973)))),
% 0.55/0.91 inference(scs_inference,[],[251,43])).
% 0.55/0.91 cnf(299,plain,
% 0.55/0.91 (P1(f6(f6(x2991,a1),x2992),f6(x2991,x2992))),
% 0.55/0.91 inference(scs_inference,[],[251,28,43,48])).
% 0.55/0.91 cnf(307,plain,
% 0.55/0.91 (P4(a7,a9)),
% 0.55/0.91 inference(scs_inference,[],[251,267,292,28,43,48,37,42,38,49])).
% 0.55/0.91 cnf(311,plain,
% 0.55/0.91 (~P4(f6(f6(x3111,x3112),x3113),x3111)),
% 0.55/0.91 inference(scs_inference,[],[238,251,267,292,28,43,48,37,42,38,49,56,54])).
% 0.55/0.91 cnf(314,plain,
% 0.55/0.91 (P4(f6(x3141,x3142),f6(x3141,f6(x3142,x3143)))),
% 0.55/0.91 inference(rename_variables,[],[189])).
% 0.55/0.91 cnf(316,plain,
% 0.55/0.91 (E(f6(a7,f5(f6(a9,a7),a7)),f6(a9,a7))),
% 0.55/0.91 inference(scs_inference,[],[96,238,189,251,291,267,270,292,28,43,48,37,42,38,49,56,54,59,63])).
% 0.55/0.91 cnf(321,plain,
% 0.55/0.91 (P4(f6(x3211,x3212),f6(x3211,f6(x3212,x3213)))),
% 0.55/0.91 inference(rename_variables,[],[189])).
% 0.55/0.91 cnf(324,plain,
% 0.55/0.91 (P2(x3241,x3241)),
% 0.55/0.91 inference(rename_variables,[],[67])).
% 0.55/0.91 cnf(325,plain,
% 0.55/0.91 (P3(a9,f6(a7,f5(a9,a7)))),
% 0.55/0.91 inference(scs_inference,[],[96,238,189,314,251,291,267,270,292,66,67,28,43,48,37,42,38,49,56,54,59,63,58,22,19])).
% 0.55/0.91 cnf(328,plain,
% 0.55/0.91 (P4(f6(x3281,x3282),f6(f6(x3281,a1),x3282))),
% 0.55/0.91 inference(rename_variables,[],[253])).
% 0.55/0.91 cnf(335,plain,
% 0.55/0.91 (P3(f6(x3351,f6(a1,x3352)),f6(f6(x3351,x3352),a1))),
% 0.55/0.91 inference(scs_inference,[],[96,238,258,173,253,189,314,321,251,291,267,270,293,292,66,67,324,28,43,48,37,42,38,49,56,54,59,63,58,22,19,57,16,21,20])).
% 0.55/0.91 cnf(344,plain,
% 0.55/0.91 (~E(f6(a9,x3441),f5(a9,a7))),
% 0.55/0.91 inference(scs_inference,[],[242,96,233,238,286,258,173,253,328,189,314,321,78,251,291,267,270,293,292,66,67,324,28,43,48,37,42,38,49,56,54,59,63,58,22,19,57,16,21,20,17,3,15,18,5])).
% 0.55/0.91 cnf(355,plain,
% 0.55/0.91 (P1(f6(a7,f5(f6(a9,a7),a7)),a9)),
% 0.55/0.91 inference(scs_inference,[],[344,316,61,48])).
% 0.55/0.91 cnf(361,plain,
% 0.55/0.91 (P4(a9,f6(a7,f5(f6(a9,a7),a7)))),
% 0.55/0.91 inference(scs_inference,[],[311,231,344,316,61,48,43,37,49])).
% 0.55/0.91 cnf(363,plain,
% 0.55/0.91 (~P4(a9,f5(f6(a7,a9),a7))),
% 0.55/0.91 inference(scs_inference,[],[311,231,344,316,61,48,43,37,49,38])).
% 0.55/0.91 cnf(371,plain,
% 0.55/0.91 (P3(f6(f6(a1,x3711),x3712),f6(x3711,f6(a1,x3712)))),
% 0.55/0.91 inference(rename_variables,[],[283])).
% 0.55/0.91 cnf(376,plain,
% 0.55/0.91 (E(f6(a7,f5(f6(a9,x3761),a7)),f6(a9,x3761))),
% 0.55/0.91 inference(scs_inference,[],[96,299,253,311,231,283,371,344,335,316,221,28,61,48,43,37,49,38,56,54,60,59,63])).
% 0.55/0.91 cnf(380,plain,
% 0.55/0.91 (P4(x3801,f6(x3801,x3802))),
% 0.55/0.91 inference(rename_variables,[],[71])).
% 0.55/0.91 cnf(384,plain,
% 0.55/0.91 (E(f6(f6(x3841,x3842),x3843),f6(x3841,f6(x3842,x3843)))),
% 0.55/0.91 inference(rename_variables,[],[29])).
% 0.55/0.91 cnf(390,plain,
% 0.55/0.91 (E(f6(f6(x3901,x3902),x3903),f6(x3901,f6(x3902,x3903)))),
% 0.55/0.91 inference(rename_variables,[],[29])).
% 0.55/0.91 cnf(391,plain,
% 0.55/0.91 (P3(f6(f6(x3911,a1),x3912),f6(x3911,f6(x3912,a1)))),
% 0.55/0.91 inference(scs_inference,[],[96,299,307,253,71,380,311,231,278,283,371,344,168,335,316,221,29,384,390,28,61,48,43,37,49,38,56,54,60,59,63,57,22,58,19,20])).
% 0.55/0.91 cnf(393,plain,
% 0.55/0.91 (E(f6(f6(x3931,x3932),x3933),f6(x3931,f6(x3932,x3933)))),
% 0.55/0.91 inference(rename_variables,[],[29])).
% 0.55/0.91 cnf(401,plain,
% 0.55/0.91 (~P1(f6(x4011,x4012),f6(x4011,f6(x4012,x4013)))),
% 0.55/0.91 inference(rename_variables,[],[297])).
% 0.55/0.91 cnf(406,plain,
% 0.55/0.91 (~E(f6(f6(x4061,a9),x4062),a7)),
% 0.55/0.91 inference(scs_inference,[],[74,128,96,297,401,299,286,118,307,253,71,380,157,311,273,231,264,278,283,371,344,168,335,316,223,221,29,384,390,393,28,61,48,43,37,49,38,56,54,60,59,63,57,22,58,19,20,17,21,16,3,15,18])).
% 0.55/0.91 cnf(416,plain,
% 0.55/0.91 (E(f6(a9,x4161),f6(a7,f5(f6(a9,x4161),a7)))),
% 0.55/0.91 inference(scs_inference,[],[74,128,96,297,401,299,286,118,307,253,71,380,157,311,273,231,264,278,283,371,344,168,335,316,223,221,29,384,390,393,28,61,48,43,37,49,38,56,54,60,59,63,57,22,58,19,20,17,21,16,3,15,18,42,39,62,40,2])).
% 0.55/0.91 cnf(430,plain,
% 0.55/0.91 (P4(a9,f6(a7,f5(f6(a9,x4301),a7)))),
% 0.55/0.91 inference(scs_inference,[],[197,185,376,406,61,48,43,37,38,49])).
% 0.55/0.91 cnf(437,plain,
% 0.55/0.91 (P3(f6(x4371,x4372),f6(x4372,x4371))),
% 0.55/0.91 inference(rename_variables,[],[108])).
% 0.55/0.91 cnf(440,plain,
% 0.55/0.91 (P4(f6(x4401,x4402),f6(x4401,f6(x4402,x4403)))),
% 0.55/0.91 inference(rename_variables,[],[189])).
% 0.55/0.91 cnf(442,plain,
% 0.55/0.91 (P4(f6(x4421,a1),f6(f6(x4421,x4422),f6(a1,x4423)))),
% 0.55/0.91 inference(scs_inference,[],[355,189,440,135,197,185,325,108,376,416,406,61,48,43,37,38,49,56,54,60,59,57])).
% 0.55/0.91 cnf(446,plain,
% 0.55/0.91 (P3(f6(x4461,x4462),f6(x4462,x4461))),
% 0.55/0.91 inference(rename_variables,[],[108])).
% 0.55/0.91 cnf(450,plain,
% 0.55/0.91 (P3(f6(a7,a9),f6(f5(f6(a7,a9),a7),a7))),
% 0.55/0.91 inference(scs_inference,[],[355,361,189,440,135,197,185,325,108,437,446,110,376,416,406,61,48,43,37,38,49,56,54,60,59,57,58,22,19])).
% 0.55/0.91 cnf(526,plain,
% 0.55/0.91 (P3(f6(f6(x5261,a1),x5262),f6(x5261,f6(x5262,a1)))),
% 0.55/0.91 inference(rename_variables,[],[391])).
% 0.55/0.91 cnf(527,plain,
% 0.55/0.91 (P3(f6(a1,f6(x5271,x5272)),f6(f6(x5271,a1),x5272))),
% 0.55/0.91 inference(rename_variables,[],[153])).
% 0.55/0.91 cnf(530,plain,
% 0.55/0.91 (P4(f6(x5301,x5302),f6(x5301,f6(x5302,x5303)))),
% 0.55/0.91 inference(rename_variables,[],[189])).
% 0.55/0.91 cnf(539,plain,
% 0.55/0.91 (P2(f6(x5391,x5392),f6(x5392,x5391))),
% 0.55/0.91 inference(rename_variables,[],[110])).
% 0.55/0.91 cnf(553,plain,
% 0.55/0.91 ($false),
% 0.55/0.91 inference(scs_inference,[],[128,276,307,430,253,135,189,530,292,416,28,82,153,527,29,24,363,391,526,110,539,450,442,26,37,43,54,60,59,58,57,22,19,21,17,20,3,18,65]),
% 0.55/0.91 ['proof']).
% 0.55/0.91 % SZS output end Proof
% 0.55/0.91 % Total time :0.270000s
%------------------------------------------------------------------------------