TSTP Solution File: NUM841+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM841+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 : 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 9.11s 9.17s
% Output : CNFRefutation 9.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM841+1 : TPTP v8.2.0. Released v4.1.0.
% 0.09/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Jun 23 03:41:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.59/0.61 start to proof:theBenchmark
% 9.11/9.15 %-------------------------------------------
% 9.11/9.15 % File :CSE---1.7
% 9.11/9.15 % Problem :theBenchmark
% 9.11/9.15 % Transform :cnf
% 9.11/9.15 % Format :tptp:raw
% 9.11/9.15 % Command :java -jar mcs_scs.jar %d %s
% 9.11/9.15
% 9.11/9.15 % Result :Theorem 8.490000s
% 9.11/9.15 % Output :CNFRefutation 8.490000s
% 9.11/9.15 %-------------------------------------------
% 9.11/9.15 %------------------------------------------------------------------------------
% 9.11/9.15 % File : NUM841+1 : TPTP v8.2.0. Released v4.1.0.
% 9.11/9.15 % Domain : Number Theory
% 9.11/9.15 % Problem : holds(214,352,0)
% 9.11/9.16 % Version : Especial.
% 9.11/9.16 % English :
% 9.11/9.16
% 9.11/9.16 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 9.11/9.16 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 9.11/9.16 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 9.11/9.16 % Source : [Kue09]
% 9.11/9.16 % Names :
% 9.11/9.16
% 9.11/9.16 % Status : Theorem
% 9.11/9.16 % Rating : 0.22 v8.2.0, 0.28 v8.1.0, 0.25 v7.5.0, 0.22 v7.4.0, 0.20 v7.3.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.27 v6.4.0, 0.35 v6.3.0, 0.29 v6.2.0, 0.32 v6.1.0, 0.43 v6.0.0, 0.35 v5.5.0, 0.41 v5.4.0, 0.39 v5.3.0, 0.56 v5.2.0, 0.35 v5.1.0, 0.33 v5.0.0, 0.42 v4.1.0
% 9.11/9.16 % Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% 9.11/9.16 % Number of atoms : 84 ( 39 equ)
% 9.11/9.16 % Maximal formula atoms : 5 ( 1 avg)
% 9.11/9.16 % Number of connectives : 59 ( 20 ~; 13 |; 5 &)
% 9.11/9.16 % ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% 9.11/9.16 % Maximal formula depth : 7 ( 4 avg)
% 9.11/9.16 % Maximal term depth : 3 ( 1 avg)
% 9.11/9.16 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 9.11/9.16 % Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% 9.11/9.16 % Number of variables : 91 ( 83 !; 8 ?)
% 9.11/9.16 % SPC : FOF_THM_RFO_SEQ
% 9.11/9.16
% 9.11/9.16 % Comments : From the Landau in Naproche 0.45 collection.
% 9.11/9.16 %------------------------------------------------------------------------------
% 9.11/9.16 fof('holds(214, 352, 0)',conjecture,
% 9.11/9.16 greater(vplus(vd344,vd347),vplus(vd345,vd348)) ).
% 9.11/9.16
% 9.11/9.16 fof('holds(213, 351, 2)',axiom,
% 9.11/9.16 vplus(vd348,vd345) = vplus(vd345,vd348) ).
% 9.11/9.16
% 9.11/9.16 fof('holds(213, 351, 1)',axiom,
% 9.11/9.16 greater(vplus(vd347,vd345),vplus(vd348,vd345)) ).
% 9.11/9.16
% 9.11/9.16 fof('holds(213, 351, 0)',axiom,
% 9.11/9.16 vplus(vd345,vd347) = vplus(vd347,vd345) ).
% 9.11/9.16
% 9.11/9.16 fof('holds(212, 350, 0)',axiom,
% 9.11/9.16 greater(vplus(vd344,vd347),vplus(vd345,vd347)) ).
% 9.11/9.16
% 9.11/9.16 fof('holds(conjunct2(211), 349, 0)',axiom,
% 9.11/9.16 greater(vd347,vd348) ).
% 9.11/9.16
% 9.11/9.16 fof('holds(conjunct1(211), 346, 0)',axiom,
% 9.11/9.16 greater(vd344,vd345) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(202), 0), 0)',axiom,
% 9.11/9.16 ! [Vd328,Vd329,Vd330] :
% 9.11/9.16 ( less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
% 9.11/9.16 => less(Vd328,Vd329) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(202), 0), 1)',axiom,
% 9.11/9.16 ! [Vd328,Vd329,Vd330] :
% 9.11/9.16 ( vplus(Vd328,Vd330) = vplus(Vd329,Vd330)
% 9.11/9.16 => Vd328 = Vd329 ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(202), 0), 2)',axiom,
% 9.11/9.16 ! [Vd328,Vd329,Vd330] :
% 9.11/9.16 ( greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
% 9.11/9.16 => greater(Vd328,Vd329) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(193), 0), 0)',axiom,
% 9.11/9.16 ! [Vd301,Vd302,Vd303] :
% 9.11/9.16 ( less(Vd301,Vd302)
% 9.11/9.16 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(193), 0), 1)',axiom,
% 9.11/9.16 ! [Vd301,Vd302,Vd303] :
% 9.11/9.16 ( Vd301 = Vd302
% 9.11/9.16 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(193), 0), 2)',axiom,
% 9.11/9.16 ! [Vd301,Vd302,Vd303] :
% 9.11/9.16 ( greater(Vd301,Vd302)
% 9.11/9.16 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(189, 0), 0)',axiom,
% 9.11/9.16 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(184, 0), 0)',axiom,
% 9.11/9.16 ! [Vd289,Vd290,Vd292] :
% 9.11/9.16 ( ( leq(Vd290,Vd292)
% 9.11/9.16 & leq(Vd289,Vd290) )
% 9.11/9.16 => leq(Vd289,Vd292) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(177), 0), 0)',axiom,
% 9.11/9.16 ! [Vd281,Vd282,Vd283] :
% 9.11/9.16 ( ( ( less(Vd282,Vd283)
% 9.11/9.16 & leq(Vd281,Vd282) )
% 9.11/9.16 | ( leq(Vd282,Vd283)
% 9.11/9.16 & less(Vd281,Vd282) ) )
% 9.11/9.16 => less(Vd281,Vd283) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(168, 0), 0)',axiom,
% 9.11/9.16 ! [Vd262,Vd263,Vd265] :
% 9.11/9.16 ( ( less(Vd263,Vd265)
% 9.11/9.16 & less(Vd262,Vd263) )
% 9.11/9.16 => less(Vd262,Vd265) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(163, 0), 0)',axiom,
% 9.11/9.16 ! [Vd258,Vd259] :
% 9.11/9.16 ( leq(Vd258,Vd259)
% 9.11/9.16 => geq(Vd259,Vd258) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(158, 0), 0)',axiom,
% 9.11/9.16 ! [Vd254,Vd255] :
% 9.11/9.16 ( geq(Vd254,Vd255)
% 9.11/9.16 => leq(Vd255,Vd254) ) ).
% 9.11/9.16
% 9.11/9.16 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
% 9.11/9.16 ! [Vd249,Vd250] :
% 9.11/9.16 ( leq(Vd250,Vd249)
% 9.11/9.16 <=> ( less(Vd250,Vd249)
% 9.11/9.16 | Vd250 = Vd249 ) ) ).
% 9.11/9.16
% 9.11/9.16 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
% 9.11/9.16 ! [Vd244,Vd245] :
% 9.11/9.16 ( geq(Vd245,Vd244)
% 9.11/9.16 <=> ( greater(Vd245,Vd244)
% 9.11/9.16 | Vd245 = Vd244 ) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(147, 0), 0)',axiom,
% 9.11/9.16 ! [Vd226,Vd227] :
% 9.11/9.16 ( less(Vd226,Vd227)
% 9.11/9.16 => greater(Vd227,Vd226) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(140, 0), 0)',axiom,
% 9.11/9.16 ! [Vd208,Vd209] :
% 9.11/9.16 ( greater(Vd208,Vd209)
% 9.11/9.16 => less(Vd209,Vd208) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(130), 0), 0)',axiom,
% 9.11/9.16 ! [Vd203,Vd204] :
% 9.11/9.16 ( Vd203 = Vd204
% 9.11/9.16 | greater(Vd203,Vd204)
% 9.11/9.16 | less(Vd203,Vd204) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(130), 0), 1)',axiom,
% 9.11/9.16 ! [Vd203,Vd204] :
% 9.11/9.16 ( Vd203 != Vd204
% 9.11/9.16 | ~ less(Vd203,Vd204) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(130), 0), 2)',axiom,
% 9.11/9.16 ! [Vd203,Vd204] :
% 9.11/9.16 ( ~ greater(Vd203,Vd204)
% 9.11/9.16 | ~ less(Vd203,Vd204) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(130), 0), 3)',axiom,
% 9.11/9.16 ! [Vd203,Vd204] :
% 9.11/9.16 ( Vd203 != Vd204
% 9.11/9.16 | ~ greater(Vd203,Vd204) ) ).
% 9.11/9.16
% 9.11/9.16 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 9.11/9.16 ! [Vd198,Vd199] :
% 9.11/9.16 ( less(Vd199,Vd198)
% 9.11/9.16 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 9.11/9.16
% 9.11/9.16 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 9.11/9.16 ! [Vd193,Vd194] :
% 9.11/9.16 ( greater(Vd194,Vd193)
% 9.11/9.16 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(88), 0), 0)',axiom,
% 9.11/9.16 ! [Vd120,Vd121] :
% 9.11/9.16 ( Vd120 = Vd121
% 9.11/9.16 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 9.11/9.16 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(88), 0), 1)',axiom,
% 9.11/9.16 ! [Vd120,Vd121] :
% 9.11/9.16 ( Vd120 != Vd121
% 9.11/9.16 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(88), 0), 2)',axiom,
% 9.11/9.16 ! [Vd120,Vd121] :
% 9.11/9.16 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 9.11/9.16 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(goal(88), 0), 3)',axiom,
% 9.11/9.16 ! [Vd120,Vd121] :
% 9.11/9.16 ( Vd120 != Vd121
% 9.11/9.16 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(81, 0), 0)',axiom,
% 9.11/9.16 ! [Vd104,Vd105] :
% 9.11/9.16 ( Vd104 != Vd105
% 9.11/9.16 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(73, 0), 0)',axiom,
% 9.11/9.16 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(61, 0), 0)',axiom,
% 9.11/9.16 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(52, 0), 0)',axiom,
% 9.11/9.16 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(43, 0), 0)',axiom,
% 9.11/9.16 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(33, 0), 0)',axiom,
% 9.11/9.16 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 9.11/9.16
% 9.11/9.16 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 9.11/9.16 ! [Vd42,Vd43] :
% 9.11/9.16 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 9.11/9.16 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(20, 0), 0)',axiom,
% 9.11/9.16 ! [Vd24] :
% 9.11/9.16 ( Vd24 != v1
% 9.11/9.16 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(12, 0), 0)',axiom,
% 9.11/9.16 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 9.11/9.16
% 9.11/9.16 fof('ass(cond(6, 0), 0)',axiom,
% 9.11/9.16 ! [Vd7,Vd8] :
% 9.11/9.16 ( Vd7 != Vd8
% 9.11/9.16 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 9.11/9.16
% 9.11/9.16 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
% 9.11/9.16 ! [Vd3,Vd4] :
% 9.11/9.17 ( vsucc(Vd3) = vsucc(Vd4)
% 9.11/9.17 => Vd3 = Vd4 ) ).
% 9.11/9.17
% 9.11/9.17 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
% 9.11/9.17 ! [Vd1] : vsucc(Vd1) != v1 ).
% 9.11/9.17
% 9.11/9.17 %------------------------------------------------------------------------------
% 9.11/9.17 %-------------------------------------------
% 9.11/9.17 % Proof found
% 9.11/9.17 % SZS status Theorem for theBenchmark
% 9.11/9.17 % SZS output start Proof
% 9.11/9.17 %ClaNum:73(EqnAxiom:22)
% 9.11/9.17 %VarNum:195(SingletonVarNum:93)
% 9.11/9.17 %MaxLitNum:3
% 9.11/9.17 %MaxfuncDepth:2
% 9.11/9.17 %SharedTerms:17
% 9.11/9.17 %goalClause: 38
% 9.11/9.17 %singleGoalClaCount:1
% 9.11/9.17 [23]P1(a1,a7)
% 9.11/9.17 [24]P1(a8,a9)
% 9.11/9.17 [30]P1(f10(a1,a8),f10(a7,a8))
% 9.11/9.17 [31]P1(f10(a8,a7),f10(a9,a7))
% 9.11/9.17 [38]~P1(f10(a1,a8),f10(a7,a9))
% 9.11/9.17 [36]~E(f10(x361,a2),x361)
% 9.11/9.17 [28]E(f10(x281,x282),f10(x282,x281))
% 9.11/9.17 [29]P1(f10(x291,x292),x291)
% 9.11/9.17 [37]~E(f10(x371,x372),x372)
% 9.11/9.17 [33]E(f10(f10(x331,a2),x332),f10(f10(x331,x332),a2))
% 9.11/9.17 [34]E(f10(f10(x341,x342),x343),f10(x341,f10(x342,x343)))
% 9.11/9.17 [41]E(x411,a2)+E(f10(f11(x411),a2),x411)
% 9.11/9.17 [39]~E(x391,x392)+P3(x391,x392)
% 9.11/9.17 [40]~E(x401,x402)+P2(x401,x402)
% 9.11/9.17 [42]~P1(x421,x422)+~E(x421,x422)
% 9.11/9.17 [43]~P4(x431,x432)+~E(x431,x432)
% 9.11/9.17 [47]~P4(x472,x471)+P1(x471,x472)
% 9.11/9.17 [48]~P1(x482,x481)+P4(x481,x482)
% 9.11/9.17 [49]~P2(x492,x491)+P3(x491,x492)
% 9.11/9.17 [50]~P4(x501,x502)+P3(x501,x502)
% 9.11/9.17 [51]~P3(x512,x511)+P2(x511,x512)
% 9.11/9.17 [52]~P1(x521,x522)+P2(x521,x522)
% 9.11/9.17 [59]~P4(x591,x592)+~P1(x591,x592)
% 9.11/9.17 [67]~P4(x671,x672)+E(f10(x671,f3(x672,x671)),x672)
% 9.11/9.17 [68]~P1(x682,x681)+E(f10(x681,f4(x681,x682)),x682)
% 9.11/9.17 [44]~E(x441,x442)+~E(x442,f10(x441,x443))
% 9.11/9.17 [45]~E(x451,x452)+~E(x451,f10(x452,x453))
% 9.11/9.17 [53]P1(x531,x532)+~E(x531,f10(x532,x533))
% 9.11/9.17 [54]P4(x541,x542)+~E(x542,f10(x541,x543))
% 9.11/9.17 [60]E(x601,x602)+~E(f10(x601,x603),f10(x602,x603))
% 9.11/9.17 [61]E(x611,x612)+~E(f10(x613,x611),f10(x613,x612))
% 9.11/9.17 [70]~P1(x701,x703)+P1(f10(x701,x702),f10(x703,x702))
% 9.11/9.17 [71]~P4(x711,x713)+P4(f10(x711,x712),f10(x713,x712))
% 9.11/9.17 [72]P1(x721,x722)+~P1(f10(x721,x723),f10(x722,x723))
% 9.11/9.17 [73]P4(x731,x732)+~P4(f10(x731,x733),f10(x732,x733))
% 9.11/9.17 [62]~E(x621,f10(x622,x623))+~E(x622,f10(x621,x624))
% 9.11/9.17 [46]P1(x461,x462)+P4(x461,x462)+E(x461,x462)
% 9.11/9.17 [55]P1(x551,x552)+~P2(x551,x552)+E(x551,x552)
% 9.11/9.17 [56]P4(x561,x562)+~P3(x561,x562)+E(x561,x562)
% 9.11/9.17 [69]E(x691,x692)+E(f10(x691,f5(x691,x692)),x692)+E(f10(x692,f6(x691,x692)),x691)
% 9.11/9.17 [63]~P4(x633,x632)+P4(x631,x632)+~P4(x631,x633)
% 9.11/9.17 [64]~P3(x643,x642)+P4(x641,x642)+~P4(x641,x643)
% 9.11/9.17 [65]~P3(x651,x653)+P4(x651,x652)+~P4(x653,x652)
% 9.11/9.17 [66]~P3(x663,x662)+P3(x661,x662)+~P3(x661,x663)
% 9.11/9.17 %EqnAxiom
% 9.11/9.17 [1]E(x11,x11)
% 9.11/9.17 [2]E(x22,x21)+~E(x21,x22)
% 9.11/9.17 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 9.11/9.17 [4]~E(x41,x42)+E(f10(x41,x43),f10(x42,x43))
% 9.11/9.17 [5]~E(x51,x52)+E(f10(x53,x51),f10(x53,x52))
% 9.11/9.17 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 9.11/9.17 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 9.11/9.17 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 9.11/9.17 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 9.11/9.17 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 9.11/9.17 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 9.11/9.17 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 9.11/9.17 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 9.11/9.17 [14]~E(x141,x142)+E(f11(x141),f11(x142))
% 9.11/9.17 [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153)
% 9.11/9.17 [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161)
% 9.11/9.17 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 9.11/9.17 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 9.11/9.17 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 9.11/9.17 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 9.11/9.17 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 9.11/9.17 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 9.11/9.17
% 9.11/9.17 %-------------------------------------------
% 9.11/9.17 cnf(74,plain,
% 9.11/9.17 (P3(x741,x741)),
% 9.11/9.17 inference(equality_inference,[],[39])).
% 9.11/9.17 cnf(75,plain,
% 9.11/9.17 (P2(x751,x751)),
% 9.11/9.17 inference(equality_inference,[],[40])).
% 9.11/9.17 cnf(76,plain,
% 9.11/9.17 (~P1(x761,x761)),
% 9.11/9.17 inference(equality_inference,[],[42])).
% 9.11/9.17 cnf(77,plain,
% 9.11/9.17 (~P4(x771,x771)),
% 9.11/9.17 inference(equality_inference,[],[43])).
% 9.11/9.17 cnf(79,plain,
% 9.11/9.17 (P4(x791,f10(x791,x792))),
% 9.11/9.17 inference(equality_inference,[],[54])).
% 9.11/9.17 cnf(82,plain,
% 9.11/9.17 (~P4(f10(a7,a9),f10(a1,a8))),
% 9.11/9.17 inference(scs_inference,[],[38,47])).
% 9.11/9.17 cnf(84,plain,
% 9.11/9.17 (P1(f10(x841,x842),x842)),
% 9.11/9.17 inference(scs_inference,[],[38,28,47,53])).
% 9.11/9.17 cnf(86,plain,
% 9.11/9.17 (P4(x861,f10(x862,x861))),
% 9.11/9.17 inference(scs_inference,[],[38,28,47,53,54])).
% 9.11/9.17 cnf(88,plain,
% 9.11/9.17 (~P1(f10(x881,x882),f10(x882,x881))),
% 9.11/9.17 inference(scs_inference,[],[38,28,47,53,54,42])).
% 9.11/9.17 cnf(90,plain,
% 9.11/9.17 (~P4(f10(x901,x902),f10(x902,x901))),
% 9.11/9.17 inference(scs_inference,[],[38,28,47,53,54,42,43])).
% 9.11/9.17 cnf(94,plain,
% 9.11/9.17 (~E(f10(f10(x941,x942),x943),x941)),
% 9.11/9.17 inference(scs_inference,[],[38,28,34,47,53,54,42,43,44,45])).
% 9.11/9.17 cnf(96,plain,
% 9.11/9.17 (~P4(f10(x961,x962),x961)),
% 9.11/9.17 inference(scs_inference,[],[38,28,29,34,47,53,54,42,43,44,45,59])).
% 9.11/9.17 cnf(102,plain,
% 9.11/9.17 (E(f10(f10(x1021,x1022),a2),f10(f10(x1021,a2),x1022))),
% 9.11/9.17 inference(scs_inference,[],[38,28,29,34,33,47,53,54,42,43,44,45,59,62,68,2])).
% 9.11/9.17 cnf(104,plain,
% 9.11/9.17 (~E(f10(f10(a7,a9),x1041),f10(a1,a8))),
% 9.11/9.17 inference(scs_inference,[],[38,28,29,34,33,47,53,54,42,43,44,45,59,62,68,2,4,15])).
% 9.11/9.17 cnf(105,plain,
% 9.11/9.17 (P1(f10(x1051,x1052),x1051)),
% 9.11/9.17 inference(rename_variables,[],[29])).
% 9.11/9.17 cnf(106,plain,
% 9.11/9.17 (~E(a1,f10(a7,a9))),
% 9.11/9.17 inference(scs_inference,[],[38,28,29,105,34,33,47,53,54,42,43,44,45,59,62,68,2,4,15,16])).
% 9.11/9.17 cnf(108,plain,
% 9.11/9.17 (P4(x1081,f10(x1082,f10(x1081,x1083)))),
% 9.11/9.17 inference(scs_inference,[],[38,79,28,29,105,34,33,47,53,54,42,43,44,45,59,62,68,2,4,15,16,63])).
% 9.11/9.17 cnf(109,plain,
% 9.11/9.17 (P4(x1091,f10(x1091,x1092))),
% 9.11/9.17 inference(rename_variables,[],[79])).
% 9.11/9.17 cnf(112,plain,
% 9.11/9.17 (~P4(x1121,x1121)),
% 9.11/9.17 inference(rename_variables,[],[77])).
% 9.11/9.17 cnf(113,plain,
% 9.11/9.17 (~E(f10(x1131,x1132),x1131)),
% 9.11/9.17 inference(scs_inference,[],[38,79,109,77,112,28,29,105,34,33,47,53,54,42,43,44,45,59,62,68,2,4,15,16,63,17,18])).
% 9.11/9.17 cnf(116,plain,
% 9.11/9.17 (P3(x1161,x1161)),
% 9.11/9.17 inference(rename_variables,[],[74])).
% 9.11/9.17 cnf(117,plain,
% 9.11/9.17 (E(f10(x1171,x1172),f10(x1172,x1171))),
% 9.11/9.17 inference(rename_variables,[],[28])).
% 9.11/9.17 cnf(118,plain,
% 9.11/9.17 (P3(f10(x1181,x1182),f10(x1182,x1181))),
% 9.11/9.17 inference(scs_inference,[],[38,79,109,77,112,74,116,28,117,29,105,34,33,47,53,54,42,43,44,45,59,62,68,2,4,15,16,63,17,18,19,20])).
% 9.11/9.17 cnf(120,plain,
% 9.11/9.17 (P2(f10(x1201,x1202),f10(x1202,x1201))),
% 9.11/9.17 inference(scs_inference,[],[38,79,109,77,112,74,116,75,28,117,29,105,34,33,47,53,54,42,43,44,45,59,62,68,2,4,15,16,63,17,18,19,20,21])).
% 9.11/9.17 cnf(134,plain,
% 9.11/9.17 (P4(f10(x1341,a2),f10(f10(x1341,x1342),a2))),
% 9.11/9.17 inference(scs_inference,[],[102,45,43,62,54])).
% 9.11/9.17 cnf(136,plain,
% 9.11/9.17 (P1(f10(f10(x1361,x1362),a2),f10(x1361,a2))),
% 9.11/9.17 inference(scs_inference,[],[102,45,43,62,54,53])).
% 9.11/9.17 cnf(138,plain,
% 9.11/9.17 (~P4(f10(x1381,x1382),x1382)),
% 9.11/9.17 inference(scs_inference,[],[84,102,45,43,62,54,53,59])).
% 9.11/9.17 cnf(144,plain,
% 9.11/9.17 (E(f10(x1441,f10(x1442,x1443)),f10(f10(x1441,x1442),x1443))),
% 9.11/9.17 inference(scs_inference,[],[84,102,34,45,43,62,54,53,59,42,44,2])).
% 9.11/9.17 cnf(145,plain,
% 9.11/9.17 (~P4(f10(f10(x1451,a2),x1452),f10(f10(x1451,x1452),a2))),
% 9.11/9.17 inference(scs_inference,[],[84,102,34,45,43,62,54,53,59,42,44,2,47])).
% 9.11/9.17 cnf(147,plain,
% 9.11/9.17 (~E(f10(a7,a9),a1)),
% 9.11/9.17 inference(scs_inference,[],[84,104,102,34,45,43,62,54,53,59,42,44,2,47,4])).
% 9.11/9.17 cnf(148,plain,
% 9.11/9.17 (~E(f10(f10(a7,a9),x1481),f10(a1,a8))),
% 9.11/9.17 inference(rename_variables,[],[104])).
% 9.11/9.17 cnf(149,plain,
% 9.11/9.17 (P4(x1491,f10(f10(x1491,x1492),x1493))),
% 9.11/9.17 inference(scs_inference,[],[84,104,118,108,102,34,45,43,62,54,53,59,42,44,2,47,4,64])).
% 9.11/9.17 cnf(150,plain,
% 9.11/9.17 (P4(x1501,f10(x1502,f10(x1501,x1503)))),
% 9.11/9.17 inference(rename_variables,[],[108])).
% 9.11/9.17 cnf(151,plain,
% 9.11/9.17 (P3(f10(x1511,x1512),f10(x1512,x1511))),
% 9.11/9.17 inference(rename_variables,[],[118])).
% 9.11/9.17 cnf(153,plain,
% 9.11/9.17 (P4(f10(x1531,x1532),f10(x1533,f10(x1532,x1531)))),
% 9.11/9.17 inference(scs_inference,[],[84,104,86,118,151,108,102,34,45,43,62,54,53,59,42,44,2,47,4,64,65])).
% 9.11/9.17 cnf(154,plain,
% 9.11/9.17 (P4(x1541,f10(x1542,x1541))),
% 9.11/9.17 inference(rename_variables,[],[86])).
% 9.11/9.17 cnf(156,plain,
% 9.11/9.17 (P2(f10(a2,f10(x1561,x1562)),f10(f10(x1561,a2),x1562))),
% 9.11/9.17 inference(scs_inference,[],[84,104,86,118,151,120,108,102,34,45,43,62,54,53,59,42,44,2,47,4,64,65,22])).
% 9.11/9.17 cnf(157,plain,
% 9.11/9.17 (P2(f10(x1571,x1572),f10(x1572,x1571))),
% 9.11/9.17 inference(rename_variables,[],[120])).
% 9.11/9.17 cnf(158,plain,
% 9.11/9.17 (~E(a8,f10(a7,a9))),
% 9.11/9.17 inference(scs_inference,[],[38,84,104,86,118,151,120,108,102,34,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16])).
% 9.11/9.17 cnf(160,plain,
% 9.11/9.17 (P3(f10(f10(x1601,a2),x1602),f10(a2,f10(x1601,x1602)))),
% 9.11/9.17 inference(scs_inference,[],[38,84,104,86,118,151,120,108,102,34,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19])).
% 9.11/9.17 cnf(161,plain,
% 9.11/9.17 (P3(f10(x1611,x1612),f10(x1612,x1611))),
% 9.11/9.17 inference(rename_variables,[],[118])).
% 9.11/9.17 cnf(163,plain,
% 9.11/9.17 (P4(x1631,f10(x1632,x1631))),
% 9.11/9.17 inference(rename_variables,[],[86])).
% 9.11/9.17 cnf(164,plain,
% 9.11/9.17 (P4(x1641,f10(f10(x1642,x1641),x1643))),
% 9.11/9.17 inference(scs_inference,[],[38,82,84,104,86,154,163,79,118,151,120,108,102,34,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19,18,63])).
% 9.11/9.17 cnf(167,plain,
% 9.11/9.17 (~E(f10(f10(a7,a9),x1671),f10(a8,a1))),
% 9.11/9.17 inference(scs_inference,[],[38,82,84,104,148,86,154,163,79,118,151,120,108,102,34,28,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19,18,63,3])).
% 9.11/9.17 cnf(169,plain,
% 9.11/9.17 (P3(f10(a2,f10(x1691,x1692)),f10(f10(x1691,a2),x1692))),
% 9.11/9.17 inference(scs_inference,[],[38,82,84,104,148,86,154,163,79,118,151,161,120,108,102,34,28,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19,18,63,3,20])).
% 9.11/9.17 cnf(170,plain,
% 9.11/9.17 (P3(f10(x1701,x1702),f10(x1702,x1701))),
% 9.11/9.17 inference(rename_variables,[],[118])).
% 9.11/9.17 cnf(171,plain,
% 9.11/9.17 (P2(f10(f10(x1711,a2),x1712),f10(a2,f10(x1711,x1712)))),
% 9.11/9.17 inference(scs_inference,[],[38,82,84,104,148,86,154,163,79,118,151,161,120,157,108,102,34,28,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19,18,63,3,20,21])).
% 9.11/9.17 cnf(173,plain,
% 9.11/9.17 (~E(f10(a1,a8),f10(a7,a8))),
% 9.11/9.17 inference(scs_inference,[],[38,82,84,104,148,86,154,163,79,76,30,118,151,161,120,157,108,102,34,28,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19,18,63,3,20,21,15])).
% 9.11/9.17 cnf(182,plain,
% 9.11/9.17 (~E(f10(a7,a9),a8)),
% 9.11/9.17 inference(scs_inference,[],[38,82,84,104,148,86,154,163,79,76,30,90,118,151,161,120,157,108,150,102,34,28,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19,18,63,3,20,21,15,17,67,48,5])).
% 9.11/9.17 cnf(183,plain,
% 9.11/9.17 (P3(f10(f10(x1831,a2),x1832),f10(f10(x1831,x1832),a2))),
% 9.11/9.17 inference(scs_inference,[],[38,82,84,104,148,86,154,163,79,76,30,90,118,151,161,170,120,157,108,150,102,34,28,45,43,62,54,53,59,42,44,2,47,4,64,65,22,16,19,18,63,3,20,21,15,17,67,48,5,66])).
% 9.11/9.17 cnf(193,plain,
% 9.11/9.17 (~P1(x1931,f10(x1932,x1931))),
% 9.11/9.17 inference(scs_inference,[],[138,144,167,68,62,48])).
% 9.11/9.17 cnf(195,plain,
% 9.11/9.17 (P1(f10(x1951,f10(x1952,x1953)),f10(x1951,x1952))),
% 9.11/9.17 inference(scs_inference,[],[138,144,167,68,62,48,53])).
% 9.11/9.17 cnf(197,plain,
% 9.11/9.17 (~P4(f10(x1971,f10(x1972,x1973)),f10(f10(x1971,x1972),x1973))),
% 9.11/9.17 inference(scs_inference,[],[138,144,167,68,62,48,53,43])).
% 9.11/9.17 cnf(201,plain,
% 9.11/9.17 (P4(f10(x2011,x2012),f10(x2011,f10(x2012,x2013)))),
% 9.11/9.17 inference(scs_inference,[],[138,144,167,68,62,48,53,43,42,54])).
% 9.11/9.17 cnf(205,plain,
% 9.11/9.18 (~P4(f10(f10(x2051,x2052),x2053),f10(x2051,f10(x2052,x2053)))),
% 9.11/9.18 inference(scs_inference,[],[138,144,167,68,62,48,53,43,42,54,45,47])).
% 9.11/9.18 cnf(209,plain,
% 9.11/9.18 (~P4(f10(f10(x2091,x2092),a2),f10(x2091,a2))),
% 9.11/9.18 inference(scs_inference,[],[136,138,144,167,68,62,48,53,43,42,54,45,47,44,59])).
% 9.11/9.18 cnf(212,plain,
% 9.11/9.18 (E(f10(x2121,f6(f10(x2121,x2122),x2121)),f10(x2121,x2122))),
% 9.11/9.18 inference(scs_inference,[],[136,173,113,94,138,144,167,68,62,48,53,43,42,54,45,47,44,59,4,69])).
% 9.11/9.18 cnf(216,plain,
% 9.11/9.18 (P4(x2161,f10(x2162,x2161))),
% 9.11/9.18 inference(rename_variables,[],[86])).
% 9.11/9.18 cnf(218,plain,
% 9.11/9.18 (P2(f10(f10(x2181,a2),x2182),f10(f10(a2,x2181),x2182))),
% 9.11/9.18 inference(scs_inference,[],[136,173,86,113,94,138,144,160,171,167,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22])).
% 9.11/9.18 cnf(220,plain,
% 9.11/9.18 (E(f10(x2201,f10(x2202,x2203)),f10(f10(x2201,x2202),x2203))),
% 9.11/9.18 inference(rename_variables,[],[144])).
% 9.11/9.18 cnf(221,plain,
% 9.11/9.18 (P4(f10(x2211,a2),f10(x2212,f10(f10(x2211,x2213),a2)))),
% 9.11/9.18 inference(scs_inference,[],[136,173,134,86,216,113,94,138,144,160,171,167,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22,63])).
% 9.11/9.18 cnf(225,plain,
% 9.11/9.18 (P4(f10(x2251,x2252),f10(x2253,f10(x2252,x2251)))),
% 9.11/9.18 inference(rename_variables,[],[153])).
% 9.11/9.18 cnf(226,plain,
% 9.11/9.18 (~E(f10(a9,a7),f10(a7,a8))),
% 9.11/9.18 inference(scs_inference,[],[82,136,173,134,86,216,31,88,113,94,138,144,153,160,171,167,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22,63,18,16])).
% 9.11/9.18 cnf(227,plain,
% 9.11/9.18 (~P1(f10(x2271,x2272),f10(x2272,x2271))),
% 9.11/9.18 inference(rename_variables,[],[88])).
% 9.11/9.18 cnf(228,plain,
% 9.11/9.18 (P3(f10(f10(a2,x2281),x2282),f10(f10(x2281,a2),x2282))),
% 9.11/9.18 inference(scs_inference,[],[82,136,173,134,86,216,31,88,113,94,138,144,220,153,160,169,171,167,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22,63,18,16,19])).
% 9.11/9.18 cnf(230,plain,
% 9.11/9.18 (E(f10(x2301,f10(x2302,x2303)),f10(f10(x2301,x2302),x2303))),
% 9.11/9.18 inference(rename_variables,[],[144])).
% 9.11/9.18 cnf(233,plain,
% 9.11/9.18 (~E(f10(x2331,x2332),f10(f10(x2333,f10(x2332,x2331)),x2334))),
% 9.11/9.18 inference(scs_inference,[],[82,136,106,173,134,86,216,31,88,96,113,94,138,144,220,153,225,160,169,171,167,28,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22,63,18,16,19,3,17])).
% 9.11/9.18 cnf(235,plain,
% 9.11/9.18 (P2(f10(f10(a2,x2351),x2352),f10(f10(x2351,a2),x2352))),
% 9.11/9.18 inference(scs_inference,[],[82,136,106,173,134,86,216,31,88,96,113,94,138,144,220,230,153,225,156,160,169,171,167,28,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22,63,18,16,19,3,17,21])).
% 9.11/9.18 cnf(237,plain,
% 9.11/9.18 (E(f10(x2371,f10(x2372,x2373)),f10(f10(x2371,x2372),x2373))),
% 9.11/9.18 inference(rename_variables,[],[144])).
% 9.11/9.18 cnf(243,plain,
% 9.11/9.18 (E(f6(f10(x2431,x2432),x2431),x2432)),
% 9.11/9.18 inference(scs_inference,[],[82,136,106,173,134,86,216,31,88,227,96,113,94,138,144,220,230,237,153,225,156,160,169,171,167,28,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22,63,18,16,19,3,17,21,20,15,61])).
% 9.11/9.18 cnf(246,plain,
% 9.11/9.18 (E(f10(x2461,x2462),f10(x2461,f6(f10(x2461,x2462),x2461)))),
% 9.11/9.18 inference(scs_inference,[],[82,136,106,173,134,86,216,31,88,227,96,113,94,138,144,220,230,237,153,225,156,160,169,171,167,28,68,62,48,53,43,42,54,45,47,44,59,4,69,64,22,63,18,16,19,3,17,21,20,15,61,5,2])).
% 9.11/9.18 cnf(247,plain,
% 9.11/9.18 (E(x2471,f6(f10(x2472,x2471),x2472))),
% 9.11/9.18 inference(scs_inference,[],[246,61])).
% 9.11/9.18 cnf(251,plain,
% 9.11/9.18 (~P1(f10(f10(x2511,x2512),x2513),f10(x2511,f10(x2512,x2513)))),
% 9.11/9.18 inference(scs_inference,[],[212,197,246,61,43,48])).
% 9.11/9.18 cnf(256,plain,
% 9.11/9.18 (E(f6(f10(x2561,x2562),x2561),x2562)),
% 9.11/9.18 inference(rename_variables,[],[243])).
% 9.11/9.18 cnf(258,plain,
% 9.11/9.18 (P1(f6(f10(x2581,f10(x2582,x2583)),x2581),x2582)),
% 9.11/9.18 inference(scs_inference,[],[212,197,243,256,246,33,61,43,48,62,54,53])).
% 9.11/9.18 cnf(259,plain,
% 9.11/9.18 (E(f6(f10(x2591,x2592),x2591),x2592)),
% 9.11/9.18 inference(rename_variables,[],[243])).
% 9.11/9.18 cnf(261,plain,
% 9.11/9.18 (~P4(f10(x2611,f10(x2612,x2613)),f10(x2611,x2612))),
% 9.11/9.18 inference(scs_inference,[],[195,212,197,243,256,246,33,61,43,48,62,54,53,59])).
% 9.11/9.18 cnf(264,plain,
% 9.11/9.18 (E(f6(f10(x2641,x2642),x2641),x2642)),
% 9.11/9.18 inference(rename_variables,[],[243])).
% 9.11/9.18 cnf(268,plain,
% 9.11/9.18 (~E(f6(f10(x2681,f10(x2682,x2683)),x2681),x2682)),
% 9.11/9.18 inference(scs_inference,[],[195,212,197,243,256,259,264,246,33,61,43,48,62,54,53,59,44,42,45])).
% 9.11/9.18 cnf(273,plain,
% 9.11/9.18 (P4(f10(f10(a2,x2731),x2732),f10(f10(x2731,a2),f10(x2732,x2733)))),
% 9.11/9.18 inference(scs_inference,[],[195,201,212,197,243,256,259,264,246,233,228,33,61,43,48,62,54,53,59,44,42,45,4,64])).
% 9.11/9.18 cnf(274,plain,
% 9.11/9.18 (P4(f10(x2741,x2742),f10(x2741,f10(x2742,x2743)))),
% 9.11/9.18 inference(rename_variables,[],[201])).
% 9.11/9.18 cnf(278,plain,
% 9.11/9.18 (P2(x2781,x2781)),
% 9.11/9.18 inference(rename_variables,[],[75])).
% 9.11/9.18 cnf(279,plain,
% 9.11/9.18 (P4(f10(x2791,x2792),f10(f10(x2791,f10(x2792,x2793)),x2794))),
% 9.11/9.18 inference(scs_inference,[],[195,201,274,79,212,197,243,256,259,264,246,233,228,75,33,61,43,48,62,54,53,59,44,42,45,4,64,22,63])).
% 9.11/9.18 cnf(284,plain,
% 9.11/9.18 (~E(f10(x2841,x2842),f10(x2843,f10(x2841,f10(x2842,x2844))))),
% 9.11/9.18 inference(scs_inference,[],[82,195,193,201,274,79,212,197,243,256,259,264,246,233,228,75,33,61,43,48,62,54,53,59,44,42,45,4,64,22,63,18,16])).
% 9.11/9.18 cnf(287,plain,
% 9.11/9.18 (P3(x2871,x2871)),
% 9.11/9.18 inference(rename_variables,[],[74])).
% 9.11/9.18 cnf(293,plain,
% 9.11/9.18 (P3(f10(x2931,x2932),f10(x2931,f6(f10(x2931,x2932),x2931)))),
% 9.11/9.18 inference(scs_inference,[],[82,205,195,193,201,274,79,212,197,243,256,259,264,149,246,233,228,74,287,75,278,33,61,43,48,62,54,53,59,44,42,45,4,64,22,63,18,16,20,17,21,19])).
% 9.11/9.18 cnf(297,plain,
% 9.11/9.18 (~E(a8,a9)),
% 9.11/9.18 inference(scs_inference,[],[82,205,195,193,158,201,274,79,76,212,197,243,256,259,264,149,246,233,24,228,74,287,75,278,33,61,43,48,62,54,53,59,44,42,45,4,64,22,63,18,16,20,17,21,19,3,15])).
% 9.11/9.18 cnf(313,plain,
% 9.11/9.18 (P4(f10(x3131,x3132),f10(f10(x3131,a2),x3132))),
% 9.11/9.18 inference(scs_inference,[],[209,33,268,6,48,54])).
% 9.11/9.18 cnf(317,plain,
% 9.11/9.18 (~P4(f6(f10(x3171,f10(x3172,x3173)),x3171),x3172)),
% 9.11/9.18 inference(scs_inference,[],[258,209,246,33,268,6,48,54,43,59])).
% 9.11/9.18 cnf(323,plain,
% 9.11/9.18 (P1(f10(f10(x3231,x3232),x3233),x3231)),
% 9.11/9.18 inference(scs_inference,[],[258,209,246,34,33,268,6,48,54,43,59,42,45,53])).
% 9.11/9.18 cnf(328,plain,
% 9.11/9.18 (P4(f10(f10(x3281,a2),x3282),f10(f10(x3281,x3282),f10(a2,x3283)))),
% 9.11/9.18 inference(scs_inference,[],[258,201,209,183,246,34,33,268,6,48,54,43,59,42,45,53,44,5,65])).
% 9.11/9.18 cnf(331,plain,
% 9.11/9.18 (P4(f10(x3311,x3312),f10(x3313,f10(x3311,f10(x3312,x3314))))),
% 9.11/9.18 inference(scs_inference,[],[258,201,209,183,118,246,34,33,268,279,6,48,54,43,59,42,45,53,44,5,65,64])).
% 9.11/9.18 cnf(332,plain,
% 9.11/9.18 (P4(f10(x3321,x3322),f10(f10(x3321,f10(x3322,x3323)),x3324))),
% 9.11/9.18 inference(rename_variables,[],[279])).
% 9.11/9.18 cnf(333,plain,
% 9.11/9.18 (P3(f10(x3331,x3332),f10(x3332,x3331))),
% 9.11/9.18 inference(rename_variables,[],[118])).
% 9.11/9.18 cnf(335,plain,
% 9.11/9.18 (P4(x3351,f10(f10(f10(x3352,x3351),x3353),a2))),
% 9.11/9.18 inference(scs_inference,[],[258,134,201,209,164,183,118,246,34,33,268,279,6,48,54,43,59,42,45,53,44,5,65,64,63])).
% 9.11/9.18 cnf(336,plain,
% 9.11/9.18 (P4(x3361,f10(f10(x3362,x3361),x3363))),
% 9.11/9.18 inference(rename_variables,[],[164])).
% 9.11/9.18 cnf(339,plain,
% 9.11/9.18 (P2(f10(x3391,x3392),f10(x3392,f6(f10(x3392,x3391),x3392)))),
% 9.11/9.18 inference(scs_inference,[],[258,134,201,209,164,183,118,246,34,33,268,279,120,6,48,54,43,59,42,45,53,44,5,65,64,63,22])).
% 9.11/9.18 cnf(340,plain,
% 9.11/9.18 (P2(f10(x3401,x3402),f10(x3402,x3401))),
% 9.11/9.18 inference(rename_variables,[],[120])).
% 9.11/9.18 cnf(345,plain,
% 9.11/9.18 (P3(f10(x3451,x3452),f10(x3452,x3451))),
% 9.11/9.18 inference(rename_variables,[],[118])).
% 9.11/9.18 cnf(346,plain,
% 9.11/9.18 (~E(f10(a7,a8),f10(a7,a9))),
% 9.11/9.18 inference(scs_inference,[],[38,145,258,134,201,30,209,164,183,118,333,246,34,33,268,279,332,120,6,48,54,43,59,42,45,53,44,5,65,64,63,22,17,20,16])).
% 9.11/9.18 cnf(347,plain,
% 9.11/9.18 (~E(f10(f10(x3471,f10(a7,a9)),x3472),f10(a1,a8))),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,258,134,201,30,209,164,336,183,118,333,246,34,33,268,279,332,120,6,48,54,43,59,42,45,53,44,5,65,64,63,22,17,20,16,18])).
% 9.11/9.18 cnf(353,plain,
% 9.11/9.18 (P3(f10(x3531,f6(f10(x3531,x3532),x3531)),f10(x3532,x3531))),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,258,284,134,201,30,209,164,336,183,118,333,345,246,34,33,268,279,332,120,340,6,48,54,43,59,42,45,53,44,5,65,64,63,22,17,20,16,18,3,21,19])).
% 9.11/9.18 cnf(356,plain,
% 9.11/9.18 (P4(x3561,f10(f10(x3562,f10(x3561,a2)),x3563))),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,258,284,134,201,30,209,164,336,183,118,333,345,246,34,33,268,279,332,120,340,6,48,54,43,59,42,45,53,44,5,65,64,63,22,17,20,16,18,3,21,19,15,73])).
% 9.11/9.18 cnf(364,plain,
% 9.11/9.18 (P1(f10(f10(a7,a9),f10(a7,a9)),f10(a1,a8))),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,104,258,284,134,201,30,209,164,336,183,118,333,345,246,34,33,268,279,332,120,340,6,48,54,43,59,42,45,53,44,5,65,64,63,22,17,20,16,18,3,21,19,15,73,67,68,47,46])).
% 9.11/9.18 cnf(367,plain,
% 9.11/9.18 (P4(x3671,f10(x3672,f10(f10(x3671,x3673),a2)))),
% 9.11/9.18 inference(scs_inference,[],[356,73])).
% 9.11/9.18 cnf(368,plain,
% 9.11/9.18 (P4(x3681,f10(f10(x3682,f10(x3681,a2)),x3683))),
% 9.11/9.18 inference(rename_variables,[],[356])).
% 9.11/9.18 cnf(370,plain,
% 9.11/9.18 (~P1(f10(x3701,x3702),f10(x3701,f10(x3702,x3703)))),
% 9.11/9.18 inference(scs_inference,[],[356,261,73,48])).
% 9.11/9.18 cnf(372,plain,
% 9.11/9.18 (~P4(f10(f10(x3721,x3722),x3723),x3721)),
% 9.11/9.18 inference(scs_inference,[],[323,356,261,73,48,59])).
% 9.11/9.18 cnf(378,plain,
% 9.11/9.18 (P1(f10(f10(x3781,a2),x3782),f10(x3781,x3782))),
% 9.11/9.18 inference(scs_inference,[],[323,356,33,261,247,73,48,59,43,42,53])).
% 9.11/9.18 cnf(389,plain,
% 9.11/9.18 (P4(x3891,f10(f10(f10(x3891,x3892),x3893),a2))),
% 9.11/9.18 inference(scs_inference,[],[323,134,356,368,201,169,118,33,261,247,347,149,73,48,59,43,42,53,4,65,64,63])).
% 9.11/9.18 cnf(395,plain,
% 9.11/9.18 (E(f10(f10(x3951,x3952),x3953),f10(x3951,f10(x3952,x3953)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(398,plain,
% 9.11/9.18 (~E(f10(a1,a8),f10(a7,f10(a9,f10(a7,a9))))),
% 9.11/9.18 inference(scs_inference,[],[82,251,323,364,134,356,368,313,201,156,169,118,34,33,261,247,347,149,73,48,59,43,42,53,4,65,64,63,22,18,16])).
% 9.11/9.18 cnf(405,plain,
% 9.11/9.18 (E(f10(f10(x4051,x4052),x4053),f10(x4051,f10(x4052,x4053)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(406,plain,
% 9.11/9.18 (P3(f10(x4061,f10(a2,x4062)),f10(f10(x4061,x4062),a2))),
% 9.11/9.18 inference(scs_inference,[],[82,145,251,323,364,134,356,368,313,201,156,169,183,118,34,395,405,33,261,247,335,347,149,73,48,59,43,42,53,4,65,64,63,22,18,16,17,20,19])).
% 9.11/9.18 cnf(408,plain,
% 9.11/9.18 (E(f10(f10(x4081,x4082),x4083),f10(x4081,f10(x4082,x4083)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(412,plain,
% 9.11/9.18 (~E(f10(f10(f10(a7,a9),x4121),x4122),f10(a1,a8))),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,251,323,364,134,356,368,313,201,156,169,171,183,118,34,395,405,408,33,261,247,335,347,149,73,48,59,43,42,53,4,65,64,63,22,18,16,17,20,19,21,15])).
% 9.11/9.18 cnf(414,plain,
% 9.11/9.18 (~P4(f10(f10(a7,a9),x4141),f10(a1,a8))),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,251,323,364,134,356,368,313,201,156,169,171,183,118,34,395,405,408,33,261,247,335,347,149,73,48,59,43,42,53,4,65,64,63,22,18,16,17,20,19,21,15,67])).
% 9.11/9.18 cnf(416,plain,
% 9.11/9.18 (P1(f10(f10(a7,a9),x4161),f10(a1,a8))),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,104,251,323,364,134,356,368,313,201,156,169,171,183,118,34,395,405,408,33,261,247,335,347,149,73,48,59,43,42,53,4,65,64,63,22,18,16,17,20,19,21,15,67,46])).
% 9.11/9.18 cnf(418,plain,
% 9.11/9.18 (P1(f10(a7,a9),a1)),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,104,251,323,364,134,356,368,313,201,156,169,171,183,118,34,395,405,408,33,261,247,335,347,149,73,48,59,43,42,53,4,65,64,63,22,18,16,17,20,19,21,15,67,46,72])).
% 9.11/9.18 cnf(420,plain,
% 9.11/9.18 (~P4(f10(a7,a9),a1)),
% 9.11/9.18 inference(scs_inference,[],[38,82,145,104,251,323,364,134,356,368,313,201,156,169,171,183,118,34,395,405,408,33,261,247,335,347,149,73,48,59,43,42,53,4,65,64,63,22,18,16,17,20,19,21,15,67,46,72,71])).
% 9.11/9.18 cnf(422,plain,
% 9.11/9.18 (P4(x4221,f10(f10(f10(x4221,a2),x4222),x4223))),
% 9.11/9.18 inference(scs_inference,[],[389,73])).
% 9.11/9.18 cnf(427,plain,
% 9.11/9.18 (~P4(f10(f10(x4271,a2),x4272),f10(x4271,x4272))),
% 9.11/9.18 inference(scs_inference,[],[378,420,389,73,48,59])).
% 9.11/9.18 cnf(435,plain,
% 9.11/9.18 (P3(f10(f10(x4351,a2),x4352),f10(a2,f10(x4351,x4352)))),
% 9.11/9.18 inference(rename_variables,[],[160])).
% 9.11/9.18 cnf(437,plain,
% 9.11/9.18 (E(f10(a1,f6(f10(a7,a9),a1)),f10(a7,a9))),
% 9.11/9.18 inference(scs_inference,[],[378,412,420,160,147,389,406,243,73,48,59,42,4,66,69])).
% 9.11/9.18 cnf(439,plain,
% 9.11/9.18 (P4(f10(f10(x4391,a2),x4392),f10(f10(a2,a2),f10(x4391,x4392)))),
% 9.11/9.18 inference(scs_inference,[],[378,412,420,313,160,435,147,389,406,243,73,48,59,42,4,66,69,65])).
% 9.11/9.18 cnf(447,plain,
% 9.11/9.18 (E(f10(f10(x4471,x4472),x4473),f10(x4471,f10(x4472,x4473)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(449,plain,
% 9.11/9.18 (E(f10(f10(x4491,x4492),x4493),f10(x4491,f10(x4492,x4493)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(450,plain,
% 9.11/9.18 (~E(x4501,f10(f10(x4502,f10(x4501,x4503)),a2))),
% 9.11/9.18 inference(scs_inference,[],[205,378,412,398,367,420,313,79,160,435,34,447,147,235,389,406,243,73,48,59,42,4,66,69,65,64,22,3,17])).
% 9.11/9.18 cnf(455,plain,
% 9.11/9.18 (~E(f10(f10(a7,a9),x4551),a8)),
% 9.11/9.18 inference(scs_inference,[],[82,205,378,412,416,398,193,367,420,313,79,160,435,34,447,331,147,235,389,406,243,73,48,59,42,4,66,69,65,64,22,3,17,18,15])).
% 9.11/9.18 cnf(457,plain,
% 9.11/9.18 (~E(f10(a1,a8),f10(f10(a7,a9),f10(x4571,x4572)))),
% 9.11/9.18 inference(scs_inference,[],[82,205,370,378,412,416,398,193,367,420,313,79,160,435,34,447,331,147,235,389,406,243,73,48,59,42,4,66,69,65,64,22,3,17,18,15,16])).
% 9.11/9.18 cnf(462,plain,
% 9.11/9.18 (E(f10(f10(x4621,x4622),x4623),f10(x4621,f10(x4622,x4623)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(465,plain,
% 9.11/9.18 (E(f10(f10(x4651,x4652),x4653),f10(x4651,f10(x4652,x4653)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(480,plain,
% 9.11/9.18 (P1(f10(a1,f6(f10(a7,a9),a1)),a7)),
% 9.11/9.18 inference(scs_inference,[],[82,205,370,378,412,416,398,193,367,420,313,79,160,435,183,34,447,449,462,465,331,147,218,235,389,406,243,73,48,59,42,4,66,69,65,64,22,3,17,18,15,16,21,19,20,67,54,45,44,43,5,53])).
% 9.11/9.18 cnf(482,plain,
% 9.11/9.18 (E(f10(a7,a9),f10(a1,f6(f10(a7,a9),a1)))),
% 9.11/9.18 inference(scs_inference,[],[82,205,370,378,412,416,398,193,367,420,313,79,160,435,183,34,447,449,462,465,331,147,218,235,389,406,243,73,48,59,42,4,66,69,65,64,22,3,17,18,15,16,21,19,20,67,54,45,44,43,5,53,2])).
% 9.11/9.18 cnf(487,plain,
% 9.11/9.18 (P4(x4871,f10(f10(f10(x4871,x4872),a2),x4873))),
% 9.11/9.18 inference(scs_inference,[],[422,73])).
% 9.11/9.18 cnf(488,plain,
% 9.11/9.18 (P4(x4881,f10(f10(f10(x4881,a2),x4882),x4883))),
% 9.11/9.18 inference(rename_variables,[],[422])).
% 9.11/9.18 cnf(491,plain,
% 9.11/9.18 (~E(f10(f10(a7,a9),x4911),a8)),
% 9.11/9.18 inference(rename_variables,[],[455])).
% 9.11/9.18 cnf(493,plain,
% 9.11/9.18 (P4(a1,f10(a7,a9))),
% 9.11/9.18 inference(scs_inference,[],[455,422,482,73,68,54])).
% 9.11/9.18 cnf(497,plain,
% 9.11/9.18 (~P1(x4971,f10(f10(x4971,x4972),x4973))),
% 9.11/9.18 inference(scs_inference,[],[455,480,422,372,482,73,68,54,59,48])).
% 9.11/9.18 cnf(499,plain,
% 9.11/9.18 (~P4(f10(a7,a9),f10(a1,f6(f10(a7,a9),a1)))),
% 9.11/9.18 inference(scs_inference,[],[455,480,422,372,482,73,68,54,59,48,43])).
% 9.11/9.18 cnf(507,plain,
% 9.11/9.18 (P3(f10(x5071,x5072),f10(x5072,x5071))),
% 9.11/9.18 inference(rename_variables,[],[118])).
% 9.11/9.18 cnf(509,plain,
% 9.11/9.18 (E(f10(a8,f6(f10(a7,a9),a8)),f10(a7,a9))),
% 9.11/9.18 inference(scs_inference,[],[455,491,480,422,118,169,372,482,450,182,73,68,54,59,48,43,42,4,66,69])).
% 9.11/9.18 cnf(512,plain,
% 9.11/9.18 (P4(x5121,f10(x5122,f10(f10(x5121,a2),x5123)))),
% 9.11/9.18 inference(scs_inference,[],[455,491,480,422,488,118,507,169,372,482,450,182,73,68,54,59,48,43,42,4,66,69,64])).
% 9.11/9.18 cnf(514,plain,
% 9.11/9.18 (P3(f10(x5141,x5142),f10(x5142,x5141))),
% 9.11/9.18 inference(rename_variables,[],[118])).
% 9.11/9.18 cnf(517,plain,
% 9.11/9.18 (P4(f10(x5171,a2),f10(f10(x5171,x5172),a2))),
% 9.11/9.18 inference(rename_variables,[],[134])).
% 9.11/9.18 cnf(518,plain,
% 9.11/9.18 (P3(f10(x5181,x5182),f10(x5182,x5181))),
% 9.11/9.18 inference(rename_variables,[],[118])).
% 9.11/9.18 cnf(524,plain,
% 9.11/9.18 (P2(x5241,x5241)),
% 9.11/9.18 inference(rename_variables,[],[75])).
% 9.11/9.18 cnf(526,plain,
% 9.11/9.18 (E(f10(f10(x5261,x5262),x5263),f10(x5261,f10(x5262,x5263)))),
% 9.11/9.18 inference(rename_variables,[],[34])).
% 9.11/9.18 cnf(533,plain,
% 9.11/9.18 (P3(f10(x5331,x5332),f10(x5332,x5331))),
% 9.11/9.18 inference(rename_variables,[],[118])).
% 9.11/9.18 cnf(536,plain,
% 9.11/9.18 (P2(f10(x5361,f10(x5362,x5363)),f10(f10(x5361,x5362),x5363))),
% 9.11/9.18 inference(scs_inference,[],[145,205,457,455,491,480,134,517,422,488,118,507,514,518,533,169,34,526,372,482,439,450,221,182,75,524,73,68,54,59,48,43,42,4,66,69,64,65,63,22,3,17,18,20,19,21])).
% 9.11/9.18 cnf(544,plain,
% 9.11/9.18 (P1(f10(a8,f6(f10(a7,a9),a8)),a7)),
% 9.11/9.18 inference(scs_inference,[],[145,205,418,457,455,491,480,370,134,517,422,488,118,507,514,518,533,169,34,526,372,482,439,450,221,182,75,524,73,68,54,59,48,43,42,4,66,69,64,65,63,22,3,17,18,20,19,21,16,45,44,53])).
% 9.11/9.18 cnf(546,plain,
% 9.11/9.18 (E(f10(a7,a9),f10(a8,f6(f10(a7,a9),a8)))),
% 9.11/9.18 inference(scs_inference,[],[145,205,418,457,455,491,480,370,134,517,422,488,118,507,514,518,533,169,34,526,372,482,439,450,221,182,75,524,73,68,54,59,48,43,42,4,66,69,64,65,63,22,3,17,18,20,19,21,16,45,44,53,2])).
% 9.11/9.18 cnf(553,plain,
% 9.11/9.18 (~P4(f10(a8,f6(f10(a7,a9),a8)),a7)),
% 9.11/9.18 inference(scs_inference,[],[544,317,546,54,48,59])).
% 9.11/9.18 cnf(563,plain,
% 9.11/9.18 (P4(f10(f10(a2,a2),x5631),f10(f10(x5631,a2),f10(a2,x5632)))),
% 9.11/9.18 inference(scs_inference,[],[544,487,160,183,317,546,273,54,48,59,43,42,64,65])).
% 9.11/9.18 cnf(564,plain,
% 9.11/9.18 (P4(f10(f10(a2,x5641),x5642),f10(f10(x5641,a2),f10(x5642,x5643)))),
% 9.11/9.18 inference(rename_variables,[],[273])).
% 9.11/9.18 cnf(575,plain,
% 9.11/9.18 (~E(x5751,f10(f10(x5752,f10(x5751,a2)),x5753))),
% 9.11/9.18 inference(scs_inference,[],[145,205,346,544,487,160,183,118,33,536,317,546,512,437,273,564,54,48,59,43,42,64,65,22,3,18,20,17])).
% 9.11/9.18 cnf(590,plain,
% 9.11/9.18 (~P4(f10(a1,a8),f10(a7,a8))),
% 9.11/9.18 inference(scs_inference,[],[30,499,509,54,48,59])).
% 9.11/9.18 cnf(599,plain,
% 9.11/9.18 (P4(a1,f10(a9,a7))),
% 9.11/9.18 inference(scs_inference,[],[493,30,169,118,499,509,575,328,54,48,59,42,4,65,64])).
% 9.11/9.18 cnf(612,plain,
% 9.11/9.18 (~P4(f10(a8,a7),f10(a9,a7))),
% 9.11/9.18 inference(scs_inference,[],[31,59])).
% 9.11/9.18 cnf(685,plain,
% 9.11/9.18 (P4(x6851,f10(x6852,f10(a2,x6851)))),
% 9.11/9.18 inference(scs_inference,[],[82,158,497,612,31,183,553,599,153,108,437,48,64,3,18,17,16,73])).
% 9.11/9.18 cnf(688,plain,
% 9.11/9.18 (~P1(f10(a7,a8),f10(a1,a8))),
% 9.11/9.18 inference(scs_inference,[],[590,48])).
% 9.11/9.18 cnf(690,plain,
% 9.11/9.18 (P4(f10(a2,f10(a2,x6901)),f10(f10(x6901,a2),f10(a2,x6902)))),
% 9.11/9.18 inference(scs_inference,[],[169,590,563,48,65])).
% 9.11/9.18 cnf(709,plain,
% 9.11/9.18 (~E(f10(f10(a7,a9),x7091),f10(a7,a8))),
% 9.11/9.18 inference(scs_inference,[],[688,416,427,48,15])).
% 9.11/9.18 cnf(723,plain,
% 9.11/9.18 (E(a9,a8)+P1(f10(a7,a9),f10(a7,a8))),
% 9.11/9.18 inference(scs_inference,[],[205,688,226,416,685,96,183,28,427,690,153,48,15,64,18,17,67,46,3,61])).
% 9.11/9.18 cnf(736,plain,
% 9.11/9.18 (P3(f10(x7361,x7362),f10(f6(f10(x7361,x7362),x7361),x7361))),
% 9.11/9.18 inference(scs_inference,[],[709,118,293,414,68,48,66])).
% 9.11/9.18 cnf(1224,plain,
% 9.11/9.18 (E(f10(x12241,x12242),f10(x12242,x12241))),
% 9.11/9.18 inference(rename_variables,[],[28])).
% 9.11/9.18 cnf(1225,plain,
% 9.11/9.18 (P3(f10(f6(f10(x12251,x12252),x12251),x12251),f10(x12252,x12251))),
% 9.11/9.18 inference(scs_inference,[],[28,1224,339,353,22,19])).
% 9.11/9.18 cnf(1486,plain,
% 9.11/9.18 (P4(f10(a7,a8),f10(a7,a9))+E(a9,a8)),
% 9.11/9.18 inference(scs_inference,[],[723,48])).
% 9.11/9.18 cnf(1492,plain,
% 9.11/9.18 (P4(f10(a7,a8),f10(a7,a9))),
% 9.11/9.18 inference(scs_inference,[],[297,1486,2])).
% 9.11/9.18 cnf(1536,plain,
% 9.11/9.18 (P4(f10(f6(f10(a8,a7),a8),a8),f10(a7,a9))),
% 9.11/9.18 inference(scs_inference,[],[1492,1225,65])).
% 9.11/9.18 cnf(1565,plain,
% 9.11/9.18 (P3(f10(x15651,x15652),f10(f6(f10(x15651,x15652),x15651),x15651))),
% 9.11/9.18 inference(rename_variables,[],[736])).
% 9.11/9.18 cnf(1575,plain,
% 9.11/9.18 ($false),
% 9.11/9.18 inference(scs_inference,[],[145,79,612,736,1565,28,1536,65,63,64,17,18]),
% 9.11/9.18 ['proof']).
% 9.11/9.18 % SZS output end Proof
% 9.11/9.18 % Total time :8.490000s
%------------------------------------------------------------------------------