%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM839+2 : 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 : 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 12:26:41 EDT 2024
% Result : Theorem 0.57s 0.87s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM839+2 : TPTP v8.2.0. Released v4.1.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 02:02:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.52/0.58 start to proof:theBenchmark
% 0.56/0.85 %-------------------------------------------
% 0.56/0.85 % File :CSE---1.7
% 0.56/0.85 % Problem :theBenchmark
% 0.56/0.85 % Transform :cnf
% 0.56/0.85 % Format :tptp:raw
% 0.56/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.85
% 0.56/0.85 % Result :Theorem 0.240000s
% 0.56/0.85 % Output :CNFRefutation 0.240000s
% 0.56/0.85 %-------------------------------------------
% 0.57/0.86 %------------------------------------------------------------------------------
% 0.57/0.86 % File : NUM839+2 : TPTP v8.2.0. Released v4.1.0.
% 0.57/0.86 % Domain : Number Theory
% 0.57/0.86 % Problem : holds(conseq(204),332,0)
% 0.57/0.86 % Version : Especial: Reduced > Especial.
% 0.57/0.86 % English :
% 0.57/0.86
% 0.57/0.86 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.57/0.86 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.57/0.86 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.57/0.86 % Source : [Kue09]
% 0.57/0.86 % Names :
% 0.57/0.86
% 0.57/0.86 % Status : Theorem
% 0.57/0.86 % Rating : 0.25 v8.2.0, 0.28 v8.1.0, 0.31 v7.4.0, 0.33 v7.3.0, 0.38 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, 0.37 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
% 0.57/0.86 % Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% 0.57/0.86 % Number of atoms : 70 ( 32 equ)
% 0.57/0.86 % Maximal formula atoms : 5 ( 2 avg)
% 0.57/0.86 % Number of connectives : 54 ( 19 ~; 13 |; 5 &)
% 0.57/0.86 % ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% 0.57/0.86 % Maximal formula depth : 7 ( 4 avg)
% 0.57/0.86 % Maximal term depth : 3 ( 1 avg)
% 0.57/0.86 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.57/0.86 % Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.57/0.86 % Number of variables : 79 ( 71 !; 8 ?)
% 0.57/0.86 % SPC : FOF_THM_RFO_SEQ
% 0.57/0.86
% 0.57/0.86 % Comments : From the Landau in Naproche 0.45 collection.
% 0.57/0.86 % : This version uses a filtered set of axioms.
% 0.57/0.86 %------------------------------------------------------------------------------
% 0.57/0.86 fof('holds(conseq(204), 332, 0)',conjecture,
% 0.57/0.86 greater(vd328,vd329) ).
% 0.57/0.86
% 0.57/0.86 fof('holds(antec(204), 331, 0)',axiom,
% 0.57/0.86 greater(vplus(vd328,vd330),vplus(vd329,vd330)) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(193), 0), 0)',axiom,
% 0.57/0.86 ! [Vd301,Vd302,Vd303] :
% 0.57/0.86 ( less(Vd301,Vd302)
% 0.57/0.86 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(193), 0), 1)',axiom,
% 0.57/0.86 ! [Vd301,Vd302,Vd303] :
% 0.57/0.86 ( Vd301 = Vd302
% 0.57/0.86 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(193), 0), 2)',axiom,
% 0.57/0.86 ! [Vd301,Vd302,Vd303] :
% 0.57/0.86 ( greater(Vd301,Vd302)
% 0.57/0.86 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(189, 0), 0)',axiom,
% 0.57/0.86 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(184, 0), 0)',axiom,
% 0.57/0.86 ! [Vd289,Vd290,Vd292] :
% 0.57/0.86 ( ( leq(Vd290,Vd292)
% 0.57/0.86 & leq(Vd289,Vd290) )
% 0.57/0.86 => leq(Vd289,Vd292) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(177), 0), 0)',axiom,
% 0.57/0.86 ! [Vd281,Vd282,Vd283] :
% 0.57/0.86 ( ( ( less(Vd282,Vd283)
% 0.57/0.86 & leq(Vd281,Vd282) )
% 0.57/0.86 | ( leq(Vd282,Vd283)
% 0.57/0.86 & less(Vd281,Vd282) ) )
% 0.57/0.86 => less(Vd281,Vd283) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(168, 0), 0)',axiom,
% 0.57/0.86 ! [Vd262,Vd263,Vd265] :
% 0.57/0.86 ( ( less(Vd263,Vd265)
% 0.57/0.86 & less(Vd262,Vd263) )
% 0.57/0.86 => less(Vd262,Vd265) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(163, 0), 0)',axiom,
% 0.57/0.86 ! [Vd258,Vd259] :
% 0.57/0.86 ( leq(Vd258,Vd259)
% 0.57/0.86 => geq(Vd259,Vd258) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(158, 0), 0)',axiom,
% 0.57/0.86 ! [Vd254,Vd255] :
% 0.57/0.86 ( geq(Vd254,Vd255)
% 0.57/0.86 => leq(Vd255,Vd254) ) ).
% 0.57/0.86
% 0.57/0.86 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
% 0.57/0.86 ! [Vd249,Vd250] :
% 0.57/0.86 ( leq(Vd250,Vd249)
% 0.57/0.86 <=> ( less(Vd250,Vd249)
% 0.57/0.86 | Vd250 = Vd249 ) ) ).
% 0.57/0.86
% 0.57/0.86 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
% 0.57/0.86 ! [Vd244,Vd245] :
% 0.57/0.86 ( geq(Vd245,Vd244)
% 0.57/0.86 <=> ( greater(Vd245,Vd244)
% 0.57/0.86 | Vd245 = Vd244 ) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(147, 0), 0)',axiom,
% 0.57/0.86 ! [Vd226,Vd227] :
% 0.57/0.86 ( less(Vd226,Vd227)
% 0.57/0.86 => greater(Vd227,Vd226) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(140, 0), 0)',axiom,
% 0.57/0.86 ! [Vd208,Vd209] :
% 0.57/0.86 ( greater(Vd208,Vd209)
% 0.57/0.86 => less(Vd209,Vd208) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.57/0.86 ! [Vd203,Vd204] :
% 0.57/0.86 ( Vd203 = Vd204
% 0.57/0.86 | greater(Vd203,Vd204)
% 0.57/0.86 | less(Vd203,Vd204) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.57/0.86 ! [Vd203,Vd204] :
% 0.57/0.86 ( Vd203 != Vd204
% 0.57/0.86 | ~ less(Vd203,Vd204) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.57/0.86 ! [Vd203,Vd204] :
% 0.57/0.86 ( ~ greater(Vd203,Vd204)
% 0.57/0.86 | ~ less(Vd203,Vd204) ) ).
% 0.57/0.86
% 0.57/0.86 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.57/0.86 ! [Vd203,Vd204] :
% 0.57/0.86 ( Vd203 != Vd204
% 0.57/0.86 | ~ greater(Vd203,Vd204) ) ).
% 0.57/0.87
% 0.57/0.87 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.57/0.87 ! [Vd198,Vd199] :
% 0.57/0.87 ( less(Vd199,Vd198)
% 0.57/0.87 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.57/0.87
% 0.57/0.87 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.57/0.87 ! [Vd193,Vd194] :
% 0.57/0.87 ( greater(Vd194,Vd193)
% 0.57/0.87 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.57/0.87 ! [Vd120,Vd121] :
% 0.57/0.87 ( Vd120 = Vd121
% 0.57/0.87 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.57/0.87 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.57/0.87 ! [Vd120,Vd121] :
% 0.57/0.87 ( Vd120 != Vd121
% 0.57/0.87 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.57/0.87 ! [Vd120,Vd121] :
% 0.57/0.87 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.57/0.87 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.57/0.87 ! [Vd120,Vd121] :
% 0.57/0.87 ( Vd120 != Vd121
% 0.57/0.87 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(81, 0), 0)',axiom,
% 0.57/0.87 ! [Vd104,Vd105] :
% 0.57/0.87 ( Vd104 != Vd105
% 0.57/0.87 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(73, 0), 0)',axiom,
% 0.57/0.87 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(61, 0), 0)',axiom,
% 0.57/0.87 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(52, 0), 0)',axiom,
% 0.57/0.87 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(43, 0), 0)',axiom,
% 0.57/0.87 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(33, 0), 0)',axiom,
% 0.57/0.87 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.57/0.87
% 0.57/0.87 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.57/0.87 ! [Vd42,Vd43] :
% 0.57/0.87 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.57/0.87 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(20, 0), 0)',axiom,
% 0.57/0.87 ! [Vd24] :
% 0.57/0.87 ( Vd24 != v1
% 0.57/0.87 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(12, 0), 0)',axiom,
% 0.57/0.87 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.57/0.87
% 0.57/0.87 fof('ass(cond(6, 0), 0)',axiom,
% 0.57/0.87 ! [Vd7,Vd8] :
% 0.57/0.87 ( Vd7 != Vd8
% 0.57/0.87 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.57/0.87
% 0.57/0.87 %------------------------------------------------------------------------------
% 0.57/0.87 %-------------------------------------------
% 0.57/0.87 % Proof found
% 0.57/0.87 % SZS status Theorem for theBenchmark
% 0.57/0.87 % SZS output start Proof
% 0.57/0.87 %ClaNum:63(EqnAxiom:22)
% 0.57/0.87 %VarNum:181(SingletonVarNum:86)
% 0.57/0.87 %MaxLitNum:3
% 0.57/0.87 %MaxfuncDepth:2
% 0.57/0.87 %SharedTerms:8
% 0.57/0.87 %goalClause: 30
% 0.57/0.87 %singleGoalClaCount:1
% 0.57/0.87 [30]~P1(a7,a9)
% 0.57/0.87 [26]P1(f6(a7,a8),f6(a9,a8))
% 0.57/0.87 [31]~E(f6(x311,a1),x311)
% 0.57/0.87 [24]E(f6(x241,x242),f6(x242,x241))
% 0.57/0.87 [25]P1(f6(x251,x252),x251)
% 0.57/0.87 [32]~E(f6(x321,x322),x322)
% 0.57/0.87 [28]E(f6(f6(x281,a1),x282),f6(f6(x281,x282),a1))
% 0.57/0.87 [29]E(f6(f6(x291,x292),x293),f6(x291,f6(x292,x293)))
% 0.57/0.87 [35]E(x351,a1)+E(f6(f10(x351),a1),x351)
% 0.57/0.87 [33]~E(x331,x332)+P3(x331,x332)
% 0.57/0.87 [34]~E(x341,x342)+P2(x341,x342)
% 0.57/0.87 [36]~P1(x361,x362)+~E(x361,x362)
% 0.57/0.87 [37]~P4(x371,x372)+~E(x371,x372)
% 0.57/0.87 [41]~P4(x412,x411)+P1(x411,x412)
% 0.57/0.87 [42]~P1(x422,x421)+P4(x421,x422)
% 0.57/0.87 [43]~P2(x432,x431)+P3(x431,x432)
% 0.57/0.87 [44]~P4(x441,x442)+P3(x441,x442)
% 0.57/0.87 [45]~P3(x452,x451)+P2(x451,x452)
% 0.57/0.87 [46]~P1(x461,x462)+P2(x461,x462)
% 0.57/0.87 [52]~P4(x521,x522)+~P1(x521,x522)
% 0.57/0.87 [51]E(x511,x512)+~E(f6(x511,a1),f6(x512,a1))
% 0.57/0.87 [59]~P4(x591,x592)+E(f6(x591,f2(x592,x591)),x592)
% 0.57/0.87 [60]~P1(x602,x601)+E(f6(x601,f3(x601,x602)),x602)
% 0.57/0.87 [38]~E(x381,x382)+~E(x382,f6(x381,x383))
% 0.57/0.87 [39]~E(x391,x392)+~E(x391,f6(x392,x393))
% 0.57/0.87 [47]P1(x471,x472)+~E(x471,f6(x472,x473))
% 0.57/0.87 [48]P4(x481,x482)+~E(x482,f6(x481,x483))
% 0.57/0.87 [53]E(x531,x532)+~E(f6(x533,x531),f6(x533,x532))
% 0.57/0.87 [62]~P1(x621,x623)+P1(f6(x621,x622),f6(x623,x622))
% 0.57/0.87 [63]~P4(x631,x633)+P4(f6(x631,x632),f6(x633,x632))
% 0.57/0.87 [54]~E(x541,f6(x542,x543))+~E(x542,f6(x541,x544))
% 0.57/0.87 [40]P1(x401,x402)+P4(x401,x402)+E(x401,x402)
% 0.57/0.87 [49]P1(x491,x492)+~P2(x491,x492)+E(x491,x492)
% 0.57/0.87 [50]P4(x501,x502)+~P3(x501,x502)+E(x501,x502)
% 0.57/0.87 [61]E(x611,x612)+E(f6(x611,f4(x611,x612)),x612)+E(f6(x612,f5(x611,x612)),x611)
% 0.57/0.87 [55]~P4(x553,x552)+P4(x551,x552)+~P4(x551,x553)
% 0.57/0.87 [56]~P3(x563,x562)+P4(x561,x562)+~P4(x561,x563)
% 0.57/0.87 [57]~P3(x571,x573)+P4(x571,x572)+~P4(x573,x572)
% 0.57/0.87 [58]~P3(x583,x582)+P3(x581,x582)+~P3(x581,x583)
% 0.57/0.87 %EqnAxiom
% 0.57/0.87 [1]E(x11,x11)
% 0.57/0.87 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.87 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.57/0.87 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.57/0.87 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.57/0.87 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.57/0.87 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.57/0.87 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.57/0.87 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 0.57/0.87 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 0.57/0.87 [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123))
% 0.57/0.87 [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132))
% 0.57/0.87 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 0.57/0.87 [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153)
% 0.57/0.87 [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161)
% 0.57/0.87 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 0.57/0.87 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 0.57/0.87 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.57/0.87 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.57/0.87 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 0.57/0.87 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 0.57/0.87
% 0.57/0.87 %-------------------------------------------
% 0.57/0.87 cnf(64,plain,
% 0.57/0.87 (P3(x641,x641)),
% 0.57/0.87 inference(equality_inference,[],[33])).
% 0.57/0.87 cnf(65,plain,
% 0.57/0.87 (P2(x651,x651)),
% 0.57/0.87 inference(equality_inference,[],[34])).
% 0.57/0.87 cnf(66,plain,
% 0.57/0.87 (~P1(x661,x661)),
% 0.57/0.87 inference(equality_inference,[],[36])).
% 0.57/0.87 cnf(67,plain,
% 0.57/0.87 (~P4(x671,x671)),
% 0.57/0.87 inference(equality_inference,[],[37])).
% 0.57/0.87 cnf(69,plain,
% 0.57/0.87 (P4(x691,f6(x691,x692))),
% 0.57/0.87 inference(equality_inference,[],[48])).
% 0.57/0.87 cnf(72,plain,
% 0.57/0.87 (~P4(a9,a7)),
% 0.57/0.87 inference(scs_inference,[],[30,41])).
% 0.57/0.87 cnf(74,plain,
% 0.57/0.87 (P1(f6(x741,x742),x742)),
% 0.57/0.87 inference(scs_inference,[],[30,24,41,47])).
% 0.57/0.87 cnf(76,plain,
% 0.57/0.87 (P4(x761,f6(x762,x761))),
% 0.57/0.87 inference(scs_inference,[],[30,24,41,47,48])).
% 0.57/0.87 cnf(78,plain,
% 0.57/0.87 (~P1(f6(x781,x782),f6(x782,x781))),
% 0.57/0.87 inference(scs_inference,[],[30,24,41,47,48,36])).
% 0.57/0.87 cnf(92,plain,
% 0.57/0.87 (E(f6(f6(x921,x922),a1),f6(f6(x921,a1),x922))),
% 0.57/0.87 inference(scs_inference,[],[30,24,25,29,28,41,47,48,36,37,38,39,52,54,60,2])).
% 0.57/0.87 cnf(94,plain,
% 0.57/0.87 (~E(f6(a9,x941),a7)),
% 0.57/0.87 inference(scs_inference,[],[30,24,25,29,28,41,47,48,36,37,38,39,52,54,60,2,4,15])).
% 0.57/0.87 cnf(95,plain,
% 0.57/0.87 (P1(f6(x951,x952),x951)),
% 0.57/0.87 inference(rename_variables,[],[25])).
% 0.57/0.87 cnf(96,plain,
% 0.57/0.87 (~E(x961,f6(x961,x962))),
% 0.57/0.87 inference(scs_inference,[],[30,66,24,25,95,29,28,41,47,48,36,37,38,39,52,54,60,2,4,15,16])).
% 0.57/0.87 cnf(98,plain,
% 0.57/0.87 (P4(x981,f6(x982,f6(x981,x983)))),
% 0.57/0.87 inference(scs_inference,[],[30,69,66,24,25,95,29,28,41,47,48,36,37,38,39,52,54,60,2,4,15,16,55])).
% 0.57/0.87 cnf(99,plain,
% 0.57/0.87 (P4(x991,f6(x991,x992))),
% 0.57/0.87 inference(rename_variables,[],[69])).
% 0.57/0.87 cnf(101,plain,
% 0.57/0.87 (~E(f6(x1011,x1012),x1011)),
% 0.57/0.87 inference(scs_inference,[],[30,69,99,66,67,24,25,95,29,28,41,47,48,36,37,38,39,52,54,60,2,4,15,16,55,18])).
% 0.57/0.87 cnf(104,plain,
% 0.57/0.87 (P3(x1041,x1041)),
% 0.57/0.87 inference(rename_variables,[],[64])).
% 0.57/0.87 cnf(105,plain,
% 0.57/0.87 (E(f6(x1051,x1052),f6(x1052,x1051))),
% 0.57/0.87 inference(rename_variables,[],[24])).
% 0.57/0.87 cnf(106,plain,
% 0.57/0.87 (P3(f6(x1061,x1062),f6(x1062,x1061))),
% 0.57/0.87 inference(scs_inference,[],[30,69,99,66,67,64,104,24,105,25,95,29,28,41,47,48,36,37,38,39,52,54,60,2,4,15,16,55,18,19,20])).
% 0.57/0.87 cnf(108,plain,
% 0.57/0.87 (P2(f6(x1081,x1082),f6(x1082,x1081))),
% 0.57/0.87 inference(scs_inference,[],[30,69,99,66,67,64,104,65,24,105,25,95,29,28,41,47,48,36,37,38,39,52,54,60,2,4,15,16,55,18,19,20,21])).
% 0.57/0.87 cnf(116,plain,
% 0.57/0.87 (P4(f6(x1161,a1),f6(f6(x1161,x1162),a1))),
% 0.57/0.87 inference(scs_inference,[],[92,48])).
% 0.57/0.87 cnf(120,plain,
% 0.57/0.87 (P1(f6(f6(x1201,x1202),a1),f6(x1201,a1))),
% 0.57/0.87 inference(scs_inference,[],[92,48,38,47])).
% 0.57/0.87 cnf(124,plain,
% 0.57/0.87 (~P4(f6(f6(x1241,x1242),a1),f6(f6(x1241,a1),x1242))),
% 0.57/0.87 inference(scs_inference,[],[74,92,48,38,47,52,37])).
% 0.57/0.87 cnf(132,plain,
% 0.57/0.87 (E(f6(x1321,f6(x1322,x1323)),f6(f6(x1321,x1322),x1323))),
% 0.57/0.87 inference(scs_inference,[],[74,92,29,48,38,47,52,37,39,54,36,2])).
% 0.57/0.87 cnf(134,plain,
% 0.57/0.87 (P4(x1341,f6(f6(x1341,x1342),x1343))),
% 0.57/0.87 inference(scs_inference,[],[74,106,98,92,29,48,38,47,52,37,39,54,36,2,4,56])).
% 0.57/0.87 cnf(136,plain,
% 0.57/0.87 (P3(f6(x1361,x1362),f6(x1362,x1361))),
% 0.57/0.87 inference(rename_variables,[],[106])).
% 0.57/0.87 cnf(138,plain,
% 0.57/0.87 (P4(f6(x1381,x1382),f6(x1383,f6(x1382,x1381)))),
% 0.57/0.87 inference(scs_inference,[],[74,76,106,136,98,92,29,48,38,47,52,37,39,54,36,2,4,56,57])).
% 0.57/0.87 cnf(139,plain,
% 0.57/0.87 (P4(x1391,f6(x1392,x1391))),
% 0.57/0.87 inference(rename_variables,[],[76])).
% 0.57/0.87 cnf(141,plain,
% 0.57/0.87 (P2(f6(a1,f6(x1411,x1412)),f6(f6(x1411,a1),x1412))),
% 0.57/0.87 inference(scs_inference,[],[74,76,106,136,108,98,92,29,48,38,47,52,37,39,54,36,2,4,56,57,22])).
% 0.57/0.87 cnf(142,plain,
% 0.57/0.87 (P2(f6(x1421,x1422),f6(x1422,x1421))),
% 0.57/0.87 inference(rename_variables,[],[108])).
% 0.57/0.87 cnf(145,plain,
% 0.57/0.87 (~E(f6(a9,a8),f6(a8,a7))),
% 0.57/0.87 inference(scs_inference,[],[74,76,67,78,106,136,108,98,92,26,29,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16])).
% 0.57/0.87 cnf(146,plain,
% 0.57/0.87 (~P1(f6(x1461,x1462),f6(x1462,x1461))),
% 0.57/0.87 inference(rename_variables,[],[78])).
% 0.57/0.87 cnf(147,plain,
% 0.57/0.87 (P2(f6(f6(x1471,a1),x1472),f6(a1,f6(x1471,x1472)))),
% 0.57/0.87 inference(scs_inference,[],[74,76,67,78,106,136,108,142,98,92,26,29,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16,21])).
% 0.57/0.87 cnf(149,plain,
% 0.57/0.87 (P3(f6(f6(x1491,a1),x1492),f6(a1,f6(x1491,x1492)))),
% 0.57/0.87 inference(scs_inference,[],[74,76,67,78,106,136,108,142,98,92,26,29,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16,21,19])).
% 0.57/0.87 cnf(150,plain,
% 0.57/0.87 (P3(f6(x1501,x1502),f6(x1502,x1501))),
% 0.57/0.87 inference(rename_variables,[],[106])).
% 0.57/0.87 cnf(151,plain,
% 0.57/0.87 (P4(x1511,f6(f6(x1512,x1511),x1513))),
% 0.57/0.87 inference(scs_inference,[],[74,76,139,69,67,78,106,136,108,142,98,92,26,29,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16,21,19,55])).
% 0.57/0.87 cnf(154,plain,
% 0.57/0.87 (P3(f6(a1,f6(x1541,x1542)),f6(f6(x1541,a1),x1542))),
% 0.57/0.87 inference(scs_inference,[],[74,76,139,69,67,78,106,136,150,108,142,98,92,26,29,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16,21,19,55,20])).
% 0.57/0.87 cnf(155,plain,
% 0.57/0.87 (P3(f6(x1551,x1552),f6(x1552,x1551))),
% 0.57/0.87 inference(rename_variables,[],[106])).
% 0.57/0.87 cnf(162,plain,
% 0.57/0.87 (~P1(x1621,f6(x1622,x1621))),
% 0.57/0.87 inference(scs_inference,[],[72,74,96,76,139,69,67,78,146,106,136,150,108,142,98,92,26,29,28,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16,21,19,55,20,18,3,15,42])).
% 0.57/0.87 cnf(164,plain,
% 0.57/0.87 (~P4(f6(f6(x1641,a1),x1642),f6(f6(x1641,x1642),a1))),
% 0.57/0.87 inference(scs_inference,[],[72,74,96,76,139,69,67,78,146,106,136,150,108,142,98,92,26,29,28,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16,21,19,55,20,18,3,15,42,41])).
% 0.57/0.87 cnf(166,plain,
% 0.57/0.88 (P3(f6(f6(x1661,a1),x1662),f6(f6(x1661,x1662),a1))),
% 0.57/0.88 inference(scs_inference,[],[72,74,96,76,139,69,67,78,146,106,136,150,155,108,142,98,92,26,29,28,48,38,47,52,37,39,54,36,2,4,56,57,22,17,16,21,19,55,20,18,3,15,42,41,58])).
% 0.57/0.88 cnf(169,plain,
% 0.57/0.88 (P4(f6(x1691,x1692),f6(x1691,f6(x1692,x1693)))),
% 0.57/0.88 inference(scs_inference,[],[132,48])).
% 0.57/0.88 cnf(171,plain,
% 0.57/0.88 (P1(f6(x1711,f6(x1712,x1713)),f6(x1711,x1712))),
% 0.57/0.88 inference(scs_inference,[],[132,48,47])).
% 0.57/0.88 cnf(177,plain,
% 0.57/0.88 (~P4(f6(x1771,f6(x1772,x1773)),f6(f6(x1771,x1772),x1773))),
% 0.57/0.88 inference(scs_inference,[],[132,48,47,38,39,37])).
% 0.57/0.88 cnf(181,plain,
% 0.57/0.88 (~P1(f6(f6(x1811,a1),x1812),f6(f6(x1811,x1812),a1))),
% 0.57/0.88 inference(scs_inference,[],[132,124,48,47,38,39,37,54,42])).
% 0.57/0.88 cnf(185,plain,
% 0.57/0.88 (~P4(f6(f6(x1851,x1852),a1),f6(x1851,a1))),
% 0.57/0.88 inference(scs_inference,[],[120,132,124,48,47,38,39,37,54,42,36,52])).
% 0.57/0.88 cnf(187,plain,
% 0.57/0.88 (~P4(f6(f6(x1871,x1872),x1873),f6(x1871,f6(x1872,x1873)))),
% 0.57/0.88 inference(scs_inference,[],[120,132,124,48,47,38,39,37,54,42,36,52,41])).
% 0.57/0.88 cnf(190,plain,
% 0.57/0.88 (P4(x1901,f6(x1902,x1901))),
% 0.57/0.88 inference(rename_variables,[],[76])).
% 0.57/0.88 cnf(197,plain,
% 0.57/0.88 (P3(f6(f6(a1,x1971),x1972),f6(f6(x1971,a1),x1972))),
% 0.57/0.88 inference(scs_inference,[],[120,116,76,190,67,132,138,124,149,154,48,47,38,39,37,54,42,36,52,41,56,17,55,19])).
% 0.57/0.88 cnf(199,plain,
% 0.57/0.88 (E(f6(x1991,f6(x1992,x1993)),f6(f6(x1991,x1992),x1993))),
% 0.57/0.88 inference(rename_variables,[],[132])).
% 0.57/0.88 cnf(200,plain,
% 0.57/0.88 (P3(f6(f6(x2001,a1),x2002),f6(f6(a1,x2001),x2002))),
% 0.57/0.88 inference(scs_inference,[],[120,116,76,190,67,132,199,138,124,149,154,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20])).
% 0.57/0.88 cnf(202,plain,
% 0.57/0.88 (E(f6(x2021,f6(x2022,x2023)),f6(f6(x2021,x2022),x2023))),
% 0.57/0.88 inference(rename_variables,[],[132])).
% 0.57/0.88 cnf(203,plain,
% 0.57/0.88 (P2(f6(f6(x2031,a1),x2032),f6(f6(a1,x2031),x2032))),
% 0.57/0.88 inference(scs_inference,[],[120,116,76,190,67,132,199,202,138,124,147,149,154,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22])).
% 0.57/0.88 cnf(205,plain,
% 0.57/0.88 (E(f6(x2051,f6(x2052,x2053)),f6(f6(x2051,x2052),x2053))),
% 0.57/0.88 inference(rename_variables,[],[132])).
% 0.57/0.88 cnf(206,plain,
% 0.57/0.88 (P2(f6(f6(a1,x2061),x2062),f6(f6(x2061,a1),x2062))),
% 0.57/0.88 inference(scs_inference,[],[120,116,76,190,67,132,199,202,205,138,124,141,147,149,154,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21])).
% 0.57/0.88 cnf(209,plain,
% 0.57/0.88 (~E(f6(f6(a9,x2091),x2092),a7)),
% 0.57/0.88 inference(scs_inference,[],[72,120,116,76,190,67,132,199,202,205,138,134,124,141,147,149,154,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21,18])).
% 0.57/0.88 cnf(212,plain,
% 0.57/0.88 (~P1(x2121,f6(x2122,x2121))),
% 0.57/0.88 inference(rename_variables,[],[162])).
% 0.57/0.88 cnf(215,plain,
% 0.57/0.88 (~E(f6(a1,f6(x2151,x2152)),x2151)),
% 0.57/0.88 inference(scs_inference,[],[72,162,212,120,145,116,76,190,67,132,199,202,205,138,134,124,141,147,149,154,24,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21,18,16,3,15])).
% 0.57/0.88 cnf(217,plain,
% 0.57/0.88 (~P4(f6(a9,x2171),a7)),
% 0.57/0.88 inference(scs_inference,[],[72,162,212,120,145,116,76,190,67,132,199,202,205,138,134,124,141,147,149,154,24,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21,18,16,3,15,59])).
% 0.57/0.88 cnf(219,plain,
% 0.57/0.88 (~E(f6(f6(a1,x2191),x2192),x2191)),
% 0.57/0.88 inference(scs_inference,[],[72,162,212,120,145,116,76,190,67,132,199,202,205,138,134,124,141,147,149,154,24,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21,18,16,3,15,59,5])).
% 0.57/0.88 cnf(221,plain,
% 0.57/0.88 (P1(a9,a7)),
% 0.57/0.88 inference(scs_inference,[],[72,162,212,120,145,116,76,190,67,132,199,202,205,138,134,124,141,147,149,154,24,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21,18,16,3,15,59,5,4,40])).
% 0.57/0.88 cnf(223,plain,
% 0.57/0.88 (E(f6(a7,f5(a9,a7)),a9)),
% 0.57/0.88 inference(scs_inference,[],[72,94,162,212,120,145,116,76,190,67,132,199,202,205,138,134,124,141,147,149,154,24,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21,18,16,3,15,59,5,4,40,61])).
% 0.57/0.88 cnf(226,plain,
% 0.57/0.88 (E(a9,f6(a7,f5(a9,a7)))),
% 0.57/0.88 inference(scs_inference,[],[72,94,162,212,120,145,116,76,190,67,132,199,202,205,138,134,124,141,147,149,154,24,48,47,38,39,37,54,42,36,52,41,56,17,55,19,20,22,21,18,16,3,15,59,5,4,40,61,2])).
% 0.57/0.88 cnf(227,plain,
% 0.57/0.88 (P4(a7,a9)),
% 0.57/0.88 inference(scs_inference,[],[226,48])).
% 0.57/0.88 cnf(230,plain,
% 0.57/0.88 (~E(f6(f6(a9,x2301),x2302),a7)),
% 0.57/0.88 inference(rename_variables,[],[209])).
% 0.57/0.88 cnf(234,plain,
% 0.57/0.88 (P1(f6(f6(x2341,x2342),x2343),x2341)),
% 0.57/0.88 inference(scs_inference,[],[226,209,29,48,60,38,47])).
% 0.57/0.88 cnf(238,plain,
% 0.57/0.88 (~P4(f6(a7,f5(a9,a7)),a9)),
% 0.57/0.88 inference(scs_inference,[],[223,226,209,29,48,60,38,47,54,37])).
% 0.57/0.88 cnf(240,plain,
% 0.57/0.88 (~P1(f6(f6(x2401,x2402),x2403),f6(x2401,f6(x2402,x2403)))),
% 0.57/0.88 inference(scs_inference,[],[177,223,226,209,29,48,60,38,47,54,37,42])).
% 0.57/0.88 cnf(246,plain,
% 0.57/0.88 (~P4(f6(x2461,f6(x2462,x2463)),f6(x2461,x2462))),
% 0.57/0.88 inference(scs_inference,[],[171,177,223,226,209,29,28,48,60,38,47,54,37,42,36,39,52])).
% 0.57/0.88 cnf(248,plain,
% 0.57/0.88 (~P4(a9,f6(a7,f5(a9,a7)))),
% 0.57/0.88 inference(scs_inference,[],[171,177,223,226,209,29,28,48,60,38,47,54,37,42,36,39,52,41])).
% 0.57/0.88 cnf(250,plain,
% 0.57/0.88 (P1(f6(a9,x2501),a7)),
% 0.57/0.88 inference(scs_inference,[],[94,171,177,223,226,209,217,29,28,48,60,38,47,54,37,42,36,39,52,41,40])).
% 0.57/0.88 cnf(254,plain,
% 0.57/0.88 (P4(f6(x2541,x2542),f6(x2541,f6(x2542,x2543)))),
% 0.57/0.88 inference(rename_variables,[],[169])).
% 0.57/0.88 cnf(255,plain,
% 0.57/0.88 (P3(f6(f6(a1,x2551),x2552),f6(f6(x2551,a1),x2552))),
% 0.57/0.88 inference(rename_variables,[],[197])).
% 0.57/0.88 cnf(257,plain,
% 0.57/0.88 (E(f6(a7,f5(f6(a9,x2571),a7)),f6(a9,x2571))),
% 0.57/0.88 inference(scs_inference,[],[94,171,169,177,223,197,226,209,230,217,29,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61])).
% 0.57/0.88 cnf(260,plain,
% 0.57/0.88 (P3(f6(x2601,f6(a1,x2602)),f6(f6(a1,x2601),x2602))),
% 0.57/0.88 inference(scs_inference,[],[94,171,169,177,223,197,200,226,209,230,217,29,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61,19])).
% 0.57/0.88 cnf(262,plain,
% 0.57/0.88 (E(f6(f6(x2621,x2622),x2623),f6(x2621,f6(x2622,x2623)))),
% 0.57/0.88 inference(rename_variables,[],[29])).
% 0.57/0.88 cnf(263,plain,
% 0.57/0.88 (P4(f6(x2631,x2632),f6(f6(x2631,f6(x2632,x2633)),x2634))),
% 0.57/0.88 inference(scs_inference,[],[94,171,169,254,69,177,223,197,200,226,209,230,217,29,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61,19,55])).
% 0.57/0.88 cnf(268,plain,
% 0.57/0.88 (P2(f6(x2681,f6(a1,x2682)),f6(f6(a1,x2681),x2682))),
% 0.57/0.88 inference(scs_inference,[],[187,94,171,169,254,69,76,177,223,197,200,203,226,209,230,217,29,262,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61,19,55,17,21])).
% 0.57/0.88 cnf(270,plain,
% 0.57/0.88 (E(f6(f6(x2701,x2702),x2703),f6(x2701,f6(x2702,x2703)))),
% 0.57/0.88 inference(rename_variables,[],[29])).
% 0.57/0.88 cnf(275,plain,
% 0.57/0.88 (P2(f6(f6(a1,x2751),x2752),f6(x2751,f6(a1,x2752)))),
% 0.57/0.88 inference(scs_inference,[],[187,94,171,221,162,169,254,69,76,177,223,197,200,203,206,226,209,230,217,29,262,270,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61,19,55,17,21,16,18,22])).
% 0.57/0.88 cnf(277,plain,
% 0.57/0.88 (E(f6(f6(x2771,x2772),x2773),f6(x2771,f6(x2772,x2773)))),
% 0.57/0.88 inference(rename_variables,[],[29])).
% 0.57/0.88 cnf(279,plain,
% 0.57/0.88 (P3(f6(f6(a1,x2791),x2792),f6(f6(x2791,a1),x2792))),
% 0.57/0.88 inference(rename_variables,[],[197])).
% 0.57/0.88 cnf(283,plain,
% 0.57/0.88 (~E(f6(f6(x2831,x2832),f6(a1,x2833)),f6(f6(x2831,a1),x2832))),
% 0.57/0.88 inference(scs_inference,[],[187,94,171,221,215,181,162,169,254,69,76,177,223,197,255,200,203,206,226,209,230,217,29,262,270,277,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61,19,55,17,21,16,18,22,20,3,15])).
% 0.57/0.88 cnf(285,plain,
% 0.57/0.88 (E(f6(a9,x2851),f6(a7,f5(f6(a9,x2851),a7)))),
% 0.57/0.88 inference(scs_inference,[],[187,94,171,221,215,181,162,169,254,69,76,177,223,197,255,200,203,206,226,209,230,217,29,262,270,277,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61,19,55,17,21,16,18,22,20,3,15,2])).
% 0.57/0.88 cnf(286,plain,
% 0.57/0.88 (P3(f6(x2861,f6(a1,x2862)),f6(f6(x2861,a1),x2862))),
% 0.57/0.88 inference(scs_inference,[],[187,94,171,221,215,181,162,169,254,69,76,177,223,197,255,279,200,203,206,226,209,230,217,29,262,270,277,28,48,60,38,47,54,37,42,36,39,52,41,40,56,61,19,55,17,21,16,18,22,20,3,15,2,58])).
% 0.57/0.88 cnf(288,plain,
% 0.57/0.88 (P4(a9,f6(a7,f5(f6(a9,x2881),a7)))),
% 0.57/0.88 inference(scs_inference,[],[257,48])).
% 0.57/0.88 cnf(292,plain,
% 0.57/0.88 (P1(f6(a7,f5(f6(a9,x2921),a7)),a9)),
% 0.57/0.88 inference(scs_inference,[],[257,48,38,47])).
% 0.57/0.88 cnf(306,plain,
% 0.57/0.88 (~P4(f6(f6(x3061,x3062),x3063),x3061)),
% 0.57/0.88 inference(scs_inference,[],[234,246,257,285,48,38,47,37,54,36,42,39,41,52])).
% 0.57/0.88 cnf(308,plain,
% 0.57/0.88 (P4(f6(x3081,f6(a1,x3082)),f6(f6(a1,x3081),f6(x3082,x3083)))),
% 0.57/0.88 inference(scs_inference,[],[234,169,246,260,257,285,48,38,47,37,54,36,42,39,41,52,57])).
% 0.57/0.88 cnf(309,plain,
% 0.57/0.88 (P4(f6(x3091,x3092),f6(x3091,f6(x3092,x3093)))),
% 0.57/0.88 inference(rename_variables,[],[169])).
% 0.57/0.88 cnf(311,plain,
% 0.57/0.88 (P4(f6(x3111,a1),f6(f6(a1,x3111),x3112))),
% 0.57/0.88 inference(scs_inference,[],[234,169,309,246,260,257,285,48,38,47,37,54,36,42,39,41,52,57,56])).
% 0.57/0.88 cnf(312,plain,
% 0.57/0.88 (P4(f6(x3121,x3122),f6(x3121,f6(x3122,x3123)))),
% 0.57/0.88 inference(rename_variables,[],[169])).
% 0.57/0.88 cnf(319,plain,
% 0.57/0.88 (~P4(f6(f6(x3191,a1),x3192),f6(f6(x3191,x3192),a1))),
% 0.57/0.88 inference(rename_variables,[],[164])).
% 0.57/0.88 cnf(323,plain,
% 0.57/0.88 (P2(x3231,x3231)),
% 0.57/0.88 inference(rename_variables,[],[65])).
% 0.57/0.88 cnf(326,plain,
% 0.57/0.88 (P3(f6(a9,x3261),f6(a7,f5(f6(a9,x3261),a7)))),
% 0.57/0.88 inference(scs_inference,[],[164,319,234,250,162,227,169,309,312,69,246,263,260,257,285,64,65,48,38,47,37,54,36,42,39,41,52,57,56,55,17,16,21,18,19])).
% 0.57/0.88 cnf(330,plain,
% 0.57/0.88 (P3(f6(x3301,f6(a1,x3302)),f6(f6(x3301,x3302),a1))),
% 0.57/0.88 inference(scs_inference,[],[164,319,234,250,162,227,169,309,312,69,246,263,260,286,257,285,64,65,323,28,48,38,47,37,54,36,42,39,41,52,57,56,55,17,16,21,18,19,22,20])).
% 0.57/0.88 cnf(337,plain,
% 0.57/0.88 (P4(f6(x3371,x3372),f6(f6(x3371,a1),x3372))),
% 0.57/0.88 inference(scs_inference,[],[28,48])).
% 0.57/0.88 cnf(339,plain,
% 0.57/0.88 (P1(f6(f6(x3391,a1),x3392),f6(x3391,x3392))),
% 0.57/0.88 inference(scs_inference,[],[28,48,47])).
% 0.57/0.88 cnf(345,plain,
% 0.57/0.88 (~P1(x3451,f6(f6(x3451,x3452),x3453))),
% 0.57/0.88 inference(scs_inference,[],[306,285,29,28,48,47,54,36,42])).
% 0.57/0.88 cnf(350,plain,
% 0.57/0.88 (P4(f6(x3501,x3502),f6(x3501,f6(x3502,x3503)))),
% 0.57/0.88 inference(rename_variables,[],[169])).
% 0.57/0.88 cnf(353,plain,
% 0.57/0.88 (P3(f6(x3531,x3532),f6(x3532,x3531))),
% 0.57/0.88 inference(rename_variables,[],[106])).
% 0.57/0.88 cnf(356,plain,
% 0.57/0.88 (P3(f6(x3561,x3562),f6(x3562,x3561))),
% 0.57/0.88 inference(rename_variables,[],[106])).
% 0.57/0.88 cnf(359,plain,
% 0.57/0.88 (P4(x3591,f6(x3592,x3591))),
% 0.57/0.88 inference(rename_variables,[],[76])).
% 0.57/0.88 cnf(367,plain,
% 0.57/0.88 (P2(f6(a1,f6(x3671,x3672)),f6(x3671,f6(a1,x3672)))),
% 0.57/0.88 inference(scs_inference,[],[248,292,288,116,169,350,76,359,306,275,166,326,106,353,356,285,29,28,48,47,54,36,42,52,57,58,56,17,55,18,19,21])).
% 0.57/0.88 cnf(369,plain,
% 0.57/0.88 (E(f6(f6(x3691,x3692),x3693),f6(x3691,f6(x3692,x3693)))),
% 0.57/0.88 inference(rename_variables,[],[29])).
% 0.57/0.88 cnf(374,plain,
% 0.57/0.88 (E(f6(f6(x3741,x3742),x3743),f6(x3741,f6(x3742,x3743)))),
% 0.57/0.88 inference(rename_variables,[],[29])).
% 0.57/0.88 cnf(375,plain,
% 0.57/0.88 (P3(f6(f6(x3751,a1),x3752),f6(x3751,f6(x3752,a1)))),
% 0.57/0.88 inference(scs_inference,[],[248,240,292,74,288,116,169,350,76,359,306,268,275,166,326,106,353,356,285,29,369,374,28,48,47,54,36,42,52,57,58,56,17,55,18,19,21,16,22,20])).
% 0.57/0.88 cnf(390,plain,
% 0.57/0.88 (P3(f6(f6(x3901,a1),x3902),f6(x3901,f6(x3902,a1)))),
% 0.57/0.88 inference(rename_variables,[],[375])).
% 0.57/0.88 cnf(392,plain,
% 0.57/0.88 (P3(f6(x3921,f6(a1,x3922)),f6(x3921,f6(x3922,a1)))),
% 0.57/0.88 inference(scs_inference,[],[339,375,390,308,238,286,28,54,42,52,57,58])).
% 0.57/0.88 cnf(396,plain,
% 0.57/0.88 (P4(x3961,f6(x3961,x3962))),
% 0.57/0.88 inference(rename_variables,[],[69])).
% 0.57/0.88 cnf(408,plain,
% 0.57/0.88 (P3(f6(a1,f6(x4081,x4082)),f6(x4081,f6(a1,x4082)))),
% 0.57/0.88 inference(scs_inference,[],[248,164,339,337,288,69,396,375,390,308,238,367,311,286,154,29,28,24,54,42,52,57,58,56,55,17,21,18,20])).
% 0.57/0.88 cnf(449,plain,
% 0.57/0.88 (P4(f6(x4491,x4492),f6(f6(x4491,a1),x4492))),
% 0.57/0.88 inference(rename_variables,[],[337])).
% 0.57/0.88 cnf(453,plain,
% 0.57/0.88 (P3(f6(f6(a1,x4531),x4532),f6(f6(x4531,a1),x4532))),
% 0.57/0.88 inference(rename_variables,[],[197])).
% 0.57/0.88 cnf(456,plain,
% 0.57/0.88 (P4(f6(x4561,a1),f6(f6(x4561,x4562),a1))),
% 0.57/0.88 inference(rename_variables,[],[116])).
% 0.57/0.88 cnf(457,plain,
% 0.57/0.88 (P3(f6(f6(a1,x4571),x4572),f6(f6(x4571,a1),x4572))),
% 0.57/0.88 inference(rename_variables,[],[197])).
% 0.57/0.88 cnf(463,plain,
% 0.57/0.88 (P4(x4631,f6(f6(x4632,x4631),x4633))),
% 0.57/0.88 inference(rename_variables,[],[151])).
% 0.57/0.88 cnf(466,plain,
% 0.57/0.88 (P2(f6(x4661,x4662),f6(x4662,x4661))),
% 0.57/0.88 inference(rename_variables,[],[108])).
% 0.57/0.88 cnf(470,plain,
% 0.57/0.88 (~P1(x4701,f6(f6(x4701,x4702),x4703))),
% 0.57/0.88 inference(rename_variables,[],[345])).
% 0.57/0.88 cnf(476,plain,
% 0.57/0.88 (E(f6(x4761,x4762),f6(x4762,x4761))),
% 0.57/0.88 inference(rename_variables,[],[24])).
% 0.57/0.88 cnf(483,plain,
% 0.57/0.88 ($false),
% 0.57/0.88 inference(scs_inference,[],[248,187,345,470,283,250,339,337,449,227,116,456,285,28,101,219,185,108,466,151,463,392,330,408,197,453,457,26,24,476,42,52,61,57,58,56,55,17,21,20,16,18,22,19,3,15,53,63]),
% 0.57/0.88 ['proof']).
% 0.57/0.88 % SZS output end Proof
% 0.57/0.88 % Total time :0.240000s
%------------------------------------------------------------------------------