TSTP Solution File: NUM839+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 : Thu Aug 31 10:25:18 EDT 2023
% Result : Theorem 0.69s 0.80s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.36 % Computer : n010.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Aug 25 11:52:50 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.69/0.79 %-------------------------------------------
% 0.69/0.79 % File :CSE---1.6
% 0.69/0.79 % Problem :theBenchmark
% 0.69/0.79 % Transform :cnf
% 0.69/0.79 % Format :tptp:raw
% 0.69/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.69/0.79
% 0.69/0.79 % Result :Theorem 0.160000s
% 0.69/0.79 % Output :CNFRefutation 0.160000s
% 0.69/0.79 %-------------------------------------------
% 0.69/0.80 %------------------------------------------------------------------------------
% 0.69/0.80 % File : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% 0.69/0.80 % Domain : Number Theory
% 0.69/0.80 % Problem : holds(conseq(204),332,0)
% 0.69/0.80 % Version : Especial.
% 0.69/0.80 % English :
% 0.69/0.80
% 0.69/0.80 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.69/0.80 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.69/0.80 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.69/0.80 % Source : [Kue09]
% 0.69/0.80 % Names :
% 0.69/0.80
% 0.69/0.80 % Status : Theorem
% 0.69/0.80 % Rating : 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
% 0.69/0.80 % Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% 0.69/0.80 % Number of atoms : 73 ( 35 equ)
% 0.69/0.80 % Maximal formula atoms : 5 ( 1 avg)
% 0.69/0.80 % Number of connectives : 56 ( 20 ~; 13 |; 5 &)
% 0.69/0.80 % ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% 0.69/0.80 % Maximal formula depth : 7 ( 4 avg)
% 0.69/0.80 % Maximal term depth : 3 ( 1 avg)
% 0.69/0.80 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.69/0.80 % Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.69/0.80 % Number of variables : 82 ( 74 !; 8 ?)
% 0.69/0.80 % SPC : FOF_THM_RFO_SEQ
% 0.69/0.80
% 0.69/0.80 % Comments : From the Landau in Naproche 0.45 collection.
% 0.69/0.80 %------------------------------------------------------------------------------
% 0.69/0.80 fof('holds(conseq(204), 332, 0)',conjecture,
% 0.69/0.80 greater(vd328,vd329) ).
% 0.69/0.80
% 0.69/0.80 fof('holds(antec(204), 331, 0)',axiom,
% 0.69/0.80 greater(vplus(vd328,vd330),vplus(vd329,vd330)) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(193), 0), 0)',axiom,
% 0.69/0.80 ! [Vd301,Vd302,Vd303] :
% 0.69/0.80 ( less(Vd301,Vd302)
% 0.69/0.80 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(193), 0), 1)',axiom,
% 0.69/0.80 ! [Vd301,Vd302,Vd303] :
% 0.69/0.80 ( Vd301 = Vd302
% 0.69/0.80 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(193), 0), 2)',axiom,
% 0.69/0.80 ! [Vd301,Vd302,Vd303] :
% 0.69/0.80 ( greater(Vd301,Vd302)
% 0.69/0.80 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(189, 0), 0)',axiom,
% 0.69/0.80 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(184, 0), 0)',axiom,
% 0.69/0.80 ! [Vd289,Vd290,Vd292] :
% 0.69/0.80 ( ( leq(Vd290,Vd292)
% 0.69/0.80 & leq(Vd289,Vd290) )
% 0.69/0.80 => leq(Vd289,Vd292) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(177), 0), 0)',axiom,
% 0.69/0.80 ! [Vd281,Vd282,Vd283] :
% 0.69/0.80 ( ( ( less(Vd282,Vd283)
% 0.69/0.80 & leq(Vd281,Vd282) )
% 0.69/0.80 | ( leq(Vd282,Vd283)
% 0.69/0.80 & less(Vd281,Vd282) ) )
% 0.69/0.80 => less(Vd281,Vd283) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(168, 0), 0)',axiom,
% 0.69/0.80 ! [Vd262,Vd263,Vd265] :
% 0.69/0.80 ( ( less(Vd263,Vd265)
% 0.69/0.80 & less(Vd262,Vd263) )
% 0.69/0.80 => less(Vd262,Vd265) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(163, 0), 0)',axiom,
% 0.69/0.80 ! [Vd258,Vd259] :
% 0.69/0.80 ( leq(Vd258,Vd259)
% 0.69/0.80 => geq(Vd259,Vd258) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(158, 0), 0)',axiom,
% 0.69/0.80 ! [Vd254,Vd255] :
% 0.69/0.80 ( geq(Vd254,Vd255)
% 0.69/0.80 => leq(Vd255,Vd254) ) ).
% 0.69/0.80
% 0.69/0.80 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
% 0.69/0.80 ! [Vd249,Vd250] :
% 0.69/0.80 ( leq(Vd250,Vd249)
% 0.69/0.80 <=> ( less(Vd250,Vd249)
% 0.69/0.80 | Vd250 = Vd249 ) ) ).
% 0.69/0.80
% 0.69/0.80 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
% 0.69/0.80 ! [Vd244,Vd245] :
% 0.69/0.80 ( geq(Vd245,Vd244)
% 0.69/0.80 <=> ( greater(Vd245,Vd244)
% 0.69/0.80 | Vd245 = Vd244 ) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(147, 0), 0)',axiom,
% 0.69/0.80 ! [Vd226,Vd227] :
% 0.69/0.80 ( less(Vd226,Vd227)
% 0.69/0.80 => greater(Vd227,Vd226) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(140, 0), 0)',axiom,
% 0.69/0.80 ! [Vd208,Vd209] :
% 0.69/0.80 ( greater(Vd208,Vd209)
% 0.69/0.80 => less(Vd209,Vd208) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.69/0.80 ! [Vd203,Vd204] :
% 0.69/0.80 ( Vd203 = Vd204
% 0.69/0.80 | greater(Vd203,Vd204)
% 0.69/0.80 | less(Vd203,Vd204) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.69/0.80 ! [Vd203,Vd204] :
% 0.69/0.80 ( Vd203 != Vd204
% 0.69/0.80 | ~ less(Vd203,Vd204) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.69/0.80 ! [Vd203,Vd204] :
% 0.69/0.80 ( ~ greater(Vd203,Vd204)
% 0.69/0.80 | ~ less(Vd203,Vd204) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.69/0.80 ! [Vd203,Vd204] :
% 0.69/0.80 ( Vd203 != Vd204
% 0.69/0.80 | ~ greater(Vd203,Vd204) ) ).
% 0.69/0.80
% 0.69/0.80 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.69/0.80 ! [Vd198,Vd199] :
% 0.69/0.80 ( less(Vd199,Vd198)
% 0.69/0.80 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.69/0.80
% 0.69/0.80 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.69/0.80 ! [Vd193,Vd194] :
% 0.69/0.80 ( greater(Vd194,Vd193)
% 0.69/0.80 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.69/0.80 ! [Vd120,Vd121] :
% 0.69/0.80 ( Vd120 = Vd121
% 0.69/0.80 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.69/0.80 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.69/0.80 ! [Vd120,Vd121] :
% 0.69/0.80 ( Vd120 != Vd121
% 0.69/0.80 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.69/0.80 ! [Vd120,Vd121] :
% 0.69/0.80 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.69/0.80 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.69/0.80 ! [Vd120,Vd121] :
% 0.69/0.80 ( Vd120 != Vd121
% 0.69/0.80 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(81, 0), 0)',axiom,
% 0.69/0.80 ! [Vd104,Vd105] :
% 0.69/0.80 ( Vd104 != Vd105
% 0.69/0.80 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(73, 0), 0)',axiom,
% 0.69/0.80 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(61, 0), 0)',axiom,
% 0.69/0.80 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(52, 0), 0)',axiom,
% 0.69/0.80 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(43, 0), 0)',axiom,
% 0.69/0.80 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(33, 0), 0)',axiom,
% 0.69/0.80 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.69/0.80
% 0.69/0.80 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.69/0.80 ! [Vd42,Vd43] :
% 0.69/0.80 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.69/0.80 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(20, 0), 0)',axiom,
% 0.69/0.80 ! [Vd24] :
% 0.69/0.80 ( Vd24 != v1
% 0.69/0.80 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(12, 0), 0)',axiom,
% 0.69/0.80 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.69/0.80
% 0.69/0.80 fof('ass(cond(6, 0), 0)',axiom,
% 0.69/0.80 ! [Vd7,Vd8] :
% 0.69/0.80 ( Vd7 != Vd8
% 0.69/0.80 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.69/0.80
% 0.69/0.80 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
% 0.69/0.80 ! [Vd3,Vd4] :
% 0.69/0.80 ( vsucc(Vd3) = vsucc(Vd4)
% 0.69/0.80 => Vd3 = Vd4 ) ).
% 0.69/0.80
% 0.69/0.80 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
% 0.69/0.80 ! [Vd1] : vsucc(Vd1) != v1 ).
% 0.69/0.80
% 0.69/0.80 %------------------------------------------------------------------------------
% 0.69/0.80 %-------------------------------------------
% 0.69/0.80 % Proof found
% 0.69/0.80 % SZS status Theorem for theBenchmark
% 0.69/0.80 % SZS output start Proof
% 0.69/0.80 %ClaNum:65(EqnAxiom:22)
% 0.69/0.80 %VarNum:181(SingletonVarNum:86)
% 0.69/0.80 %MaxLitNum:3
% 0.69/0.80 %MaxfuncDepth:2
% 0.69/0.80 %SharedTerms:8
% 0.69/0.80 %goalClause: 30
% 0.69/0.80 %singleGoalClaCount:1
% 0.69/0.80 [30]~P1(a7,a9)
% 0.69/0.80 [26]P1(f6(a7,a8),f6(a9,a8))
% 0.69/0.80 [32]~E(f6(x321,a1),x321)
% 0.69/0.80 [24]E(f6(x241,x242),f6(x242,x241))
% 0.69/0.80 [25]P1(f6(x251,x252),x251)
% 0.69/0.80 [33]~E(f6(x331,x332),x332)
% 0.69/0.80 [28]E(f6(f6(x281,a1),x282),f6(f6(x281,x282),a1))
% 0.69/0.80 [29]E(f6(f6(x291,x292),x293),f6(x291,f6(x292,x293)))
% 0.69/0.80 [36]E(x361,a1)+E(f6(f10(x361),a1),x361)
% 0.69/0.80 [34]~E(x341,x342)+P3(x341,x342)
% 0.69/0.80 [35]~E(x351,x352)+P2(x351,x352)
% 0.69/0.81 [37]~P1(x371,x372)+~E(x371,x372)
% 0.69/0.81 [38]~P4(x381,x382)+~E(x381,x382)
% 0.69/0.81 [42]~P4(x422,x421)+P1(x421,x422)
% 0.69/0.81 [43]~P1(x432,x431)+P4(x431,x432)
% 0.69/0.81 [44]~P2(x442,x441)+P3(x441,x442)
% 0.69/0.81 [45]~P4(x451,x452)+P3(x451,x452)
% 0.69/0.81 [46]~P3(x462,x461)+P2(x461,x462)
% 0.69/0.81 [47]~P1(x471,x472)+P2(x471,x472)
% 0.69/0.81 [54]~P4(x541,x542)+~P1(x541,x542)
% 0.69/0.81 [53]E(x531,x532)+~E(f6(x531,a1),f6(x532,a1))
% 0.69/0.81 [61]~P4(x611,x612)+E(f6(x611,f2(x612,x611)),x612)
% 0.69/0.81 [62]~P1(x622,x621)+E(f6(x621,f3(x621,x622)),x622)
% 0.69/0.81 [39]~E(x391,x392)+~E(x392,f6(x391,x393))
% 0.69/0.81 [40]~E(x401,x402)+~E(x401,f6(x402,x403))
% 0.69/0.81 [48]P1(x481,x482)+~E(x481,f6(x482,x483))
% 0.69/0.81 [49]P4(x491,x492)+~E(x492,f6(x491,x493))
% 0.69/0.81 [55]E(x551,x552)+~E(f6(x553,x551),f6(x553,x552))
% 0.69/0.81 [64]~P1(x641,x643)+P1(f6(x641,x642),f6(x643,x642))
% 0.69/0.81 [65]~P4(x651,x653)+P4(f6(x651,x652),f6(x653,x652))
% 0.69/0.81 [56]~E(x561,f6(x562,x563))+~E(x562,f6(x561,x564))
% 0.69/0.81 [41]P1(x411,x412)+P4(x411,x412)+E(x411,x412)
% 0.69/0.81 [50]P1(x501,x502)+~P2(x501,x502)+E(x501,x502)
% 0.69/0.81 [51]P4(x511,x512)+~P3(x511,x512)+E(x511,x512)
% 0.69/0.81 [63]E(x631,x632)+E(f6(x631,f4(x631,x632)),x632)+E(f6(x632,f5(x631,x632)),x631)
% 0.69/0.81 [57]~P4(x573,x572)+P4(x571,x572)+~P4(x571,x573)
% 0.69/0.81 [58]~P3(x583,x582)+P4(x581,x582)+~P4(x581,x583)
% 0.69/0.81 [59]~P3(x591,x593)+P4(x591,x592)+~P4(x593,x592)
% 0.69/0.81 [60]~P3(x603,x602)+P3(x601,x602)+~P3(x601,x603)
% 0.69/0.81 %EqnAxiom
% 0.69/0.81 [1]E(x11,x11)
% 0.69/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.69/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.69/0.81 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.69/0.81 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.69/0.81 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.69/0.81 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.69/0.81 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.69/0.81 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.69/0.81 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 0.69/0.81 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 0.69/0.81 [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123))
% 0.69/0.81 [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132))
% 0.69/0.81 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 0.69/0.81 [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153)
% 0.69/0.81 [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161)
% 0.69/0.81 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 0.69/0.81 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 0.69/0.81 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.69/0.81 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.69/0.81 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 0.69/0.81 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 0.69/0.81
% 0.69/0.81 %-------------------------------------------
% 0.69/0.81 cnf(66,plain,
% 0.69/0.81 (E(f6(x661,f6(x662,x663)),f6(f6(x661,x662),x663))),
% 0.69/0.81 inference(scs_inference,[],[29,2])).
% 0.69/0.81 cnf(67,plain,
% 0.69/0.81 (~P4(f6(a7,a8),f6(a9,a8))),
% 0.69/0.81 inference(scs_inference,[],[26,29,2,54])).
% 0.69/0.81 cnf(73,plain,
% 0.69/0.81 (~P4(f6(x731,x732),f6(x732,x731))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38])).
% 0.69/0.81 cnf(75,plain,
% 0.69/0.81 (~P1(f6(x751,x752),f6(x752,x751))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37])).
% 0.69/0.81 cnf(77,plain,
% 0.69/0.81 (P4(x771,f6(x772,x771))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49])).
% 0.69/0.81 cnf(81,plain,
% 0.69/0.81 (~E(f6(f6(x811,x812),x813),x811)),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49,48,40])).
% 0.69/0.81 cnf(83,plain,
% 0.69/0.81 (~E(x831,f6(x832,x831))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49,48,40,39])).
% 0.69/0.81 cnf(85,plain,
% 0.69/0.81 (~P4(a7,a9)),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49,48,40,39,65])).
% 0.69/0.81 cnf(89,plain,
% 0.69/0.81 (~E(x891,f6(f6(x892,x891),x893))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56])).
% 0.69/0.81 cnf(91,plain,
% 0.69/0.81 (~P1(x911,f6(x911,x912))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62])).
% 0.69/0.81 cnf(93,plain,
% 0.69/0.81 (~E(f6(x931,f6(a7,a8)),f6(a9,a8))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18])).
% 0.69/0.81 cnf(94,plain,
% 0.69/0.81 (~E(f6(a9,a8),f6(f6(a7,a8),x941))),
% 0.69/0.81 inference(scs_inference,[],[30,26,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16])).
% 0.69/0.81 cnf(97,plain,
% 0.69/0.81 (~P3(f6(f6(a7,a8),f6(a7,a8)),f6(a7,a8))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59])).
% 0.69/0.81 cnf(101,plain,
% 0.69/0.81 (~P4(f6(f6(a7,a8),f6(a7,a8)),f6(a9,a8))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57])).
% 0.69/0.81 cnf(103,plain,
% 0.69/0.81 (E(a9,a7)),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41])).
% 0.69/0.81 cnf(107,plain,
% 0.69/0.81 (P3(f6(a7,a8),f6(f6(a7,a8),f6(a7,a8)))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,24,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45])).
% 0.69/0.81 cnf(112,plain,
% 0.69/0.81 (E(f6(x1121,x1122),f6(x1122,x1121))),
% 0.69/0.81 inference(rename_variables,[],[24])).
% 0.69/0.81 cnf(114,plain,
% 0.69/0.81 (P3(f6(x1141,x1142),f6(x1142,x1141))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34])).
% 0.69/0.81 cnf(116,plain,
% 0.69/0.81 (E(f6(f10(f6(x1161,a1)),a1),f6(x1161,a1))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36])).
% 0.69/0.81 cnf(117,plain,
% 0.69/0.81 (~E(f6(x1171,x1172),x1172)),
% 0.69/0.81 inference(rename_variables,[],[33])).
% 0.69/0.81 cnf(130,plain,
% 0.69/0.81 (~E(f6(x1301,f6(x1302,x1303)),f6(x1301,x1303))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55])).
% 0.69/0.81 cnf(132,plain,
% 0.69/0.81 (~E(f6(f6(x1321,x1322),a1),f6(x1322,a1))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53])).
% 0.69/0.81 cnf(134,plain,
% 0.69/0.81 (~P3(f6(f6(a7,a8),f6(a7,a8)),f6(a8,a7))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20])).
% 0.69/0.81 cnf(135,plain,
% 0.69/0.81 (~P3(f6(f6(a7,a8),f6(a8,a7)),f6(a7,a8))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20,19])).
% 0.69/0.81 cnf(136,plain,
% 0.69/0.81 (~P4(f6(a8,a7),f6(a9,a8))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20,19,17])).
% 0.69/0.81 cnf(138,plain,
% 0.69/0.81 (~E(f6(x1381,x1382),x1382)),
% 0.69/0.81 inference(rename_variables,[],[33])).
% 0.69/0.81 cnf(139,plain,
% 0.69/0.81 (E(f6(x1391,x1392),f6(x1392,x1391))),
% 0.69/0.81 inference(rename_variables,[],[24])).
% 0.69/0.81 cnf(140,plain,
% 0.69/0.81 (P3(f6(a9,a8),f6(f6(a7,a8),f6(a7,a8)))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20,19,17,3,60])).
% 0.69/0.81 cnf(142,plain,
% 0.69/0.81 (~P3(f6(x1421,x1422),x1422)+P4(f6(x1421,x1422),x1422)),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,138,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20,19,17,3,60,51])).
% 0.69/0.81 cnf(144,plain,
% 0.69/0.81 (~P2(f6(a7,a8),f6(f6(a7,a8),f6(a7,a8)))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,138,24,112,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20,19,17,3,60,51,50])).
% 0.69/0.81 cnf(146,plain,
% 0.69/0.81 (P2(f6(a7,a8),f6(a8,a9))),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,138,24,112,139,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20,19,17,3,60,51,50,22])).
% 0.69/0.81 cnf(147,plain,
% 0.69/0.81 (E(f6(x1471,x1472),f6(x1472,x1471))),
% 0.69/0.81 inference(rename_variables,[],[24])).
% 0.69/0.81 cnf(150,plain,
% 0.69/0.81 (E(f6(x1501,f5(f6(x1502,x1501),x1501)),f6(x1502,x1501))+E(f6(f6(x1502,x1501),f4(f6(x1502,x1501),x1501)),x1501)),
% 0.69/0.81 inference(scs_inference,[],[30,26,25,33,117,138,24,112,139,147,29,2,54,43,42,38,37,49,48,40,39,65,64,56,62,18,16,15,59,58,57,41,47,45,44,35,34,36,14,13,12,11,10,9,8,7,6,5,4,55,53,20,19,17,3,60,51,50,22,21,63])).
% 0.69/0.81 cnf(152,plain,
% 0.69/0.81 (P2(f6(x1521,x1522),f6(x1522,x1521))),
% 0.69/0.81 inference(scs_inference,[],[114,46])).
% 0.69/0.81 cnf(158,plain,
% 0.69/0.81 (P4(x1581,f6(x1581,x1582))),
% 0.69/0.81 inference(scs_inference,[],[25,114,77,97,46,61,45,43])).
% 0.69/0.81 cnf(160,plain,
% 0.69/0.81 (~E(x1601,f6(x1601,x1602))),
% 0.69/0.81 inference(scs_inference,[],[25,114,77,97,46,61,45,43,38])).
% 0.69/0.81 cnf(162,plain,
% 0.69/0.81 (~E(f6(x1621,x1622),x1621)),
% 0.69/0.81 inference(scs_inference,[],[25,114,77,97,46,61,45,43,38,37])).
% 0.69/0.81 cnf(168,plain,
% 0.69/0.81 (P4(f6(x1681,x1682),f6(f6(x1683,x1681),x1682))),
% 0.69/0.81 inference(scs_inference,[],[30,25,73,114,77,97,46,61,45,43,38,37,49,48,65])).
% 0.69/0.81 cnf(170,plain,
% 0.69/0.81 (E(f2(f6(x1701,x1701),x1701),x1701)),
% 0.69/0.81 inference(scs_inference,[],[30,25,73,114,77,97,46,61,45,43,38,37,49,48,65,55])).
% 0.69/0.81 cnf(175,plain,
% 0.69/0.81 (P4(x1751,f6(x1752,x1751))),
% 0.69/0.81 inference(rename_variables,[],[77])).
% 0.69/0.81 cnf(176,plain,
% 0.69/0.81 (~P4(f6(x1761,x1762),f6(x1762,x1761))),
% 0.69/0.81 inference(rename_variables,[],[73])).
% 0.69/0.81 cnf(181,plain,
% 0.69/0.81 (E(f6(x1811,f4(x1811,f6(x1811,x1811))),f6(x1811,x1811))),
% 0.69/0.81 inference(scs_inference,[],[30,32,25,73,114,77,83,81,97,46,61,45,43,38,37,49,48,65,55,62,57,51,63])).
% 0.69/0.81 cnf(182,plain,
% 0.69/0.81 (~E(f6(f6(x1821,x1822),x1823),x1821)),
% 0.69/0.81 inference(rename_variables,[],[81])).
% 0.69/0.81 cnf(183,plain,
% 0.69/0.81 (~E(x1831,f6(x1832,x1831))),
% 0.69/0.81 inference(rename_variables,[],[83])).
% 0.69/0.81 cnf(185,plain,
% 0.69/0.81 (~P1(x1851,f6(x1852,x1851))),
% 0.69/0.81 inference(scs_inference,[],[30,32,25,73,114,77,175,83,81,97,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54])).
% 0.69/0.81 cnf(199,plain,
% 0.69/0.81 (E(f10(f6(x1991,a1)),x1991)),
% 0.69/0.81 inference(scs_inference,[],[30,32,28,25,73,114,77,175,83,81,97,116,134,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54,44,42,34,39,64,56,53])).
% 0.69/0.81 cnf(201,plain,
% 0.69/0.81 (P2(f6(a8,a7),f6(a8,a9))),
% 0.69/0.81 inference(scs_inference,[],[30,32,28,25,24,73,114,77,175,83,81,97,116,134,146,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54,44,42,34,39,64,56,53,21])).
% 0.69/0.81 cnf(202,plain,
% 0.69/0.81 (~P4(f6(a1,f6(x2021,x2022)),f6(f6(x2021,a1),x2022))),
% 0.69/0.81 inference(scs_inference,[],[30,32,28,25,24,73,176,114,77,175,83,81,97,116,134,146,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54,44,42,34,39,64,56,53,21,18])).
% 0.69/0.81 cnf(203,plain,
% 0.69/0.81 (P4(f6(a8,a7),f6(x2031,f6(a7,a8)))),
% 0.69/0.81 inference(scs_inference,[],[30,32,28,25,24,73,176,114,77,175,83,81,97,116,134,146,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54,44,42,34,39,64,56,53,21,18,17])).
% 0.69/0.81 cnf(204,plain,
% 0.69/0.81 (E(f6(x2041,x2042),f6(x2042,x2041))),
% 0.69/0.81 inference(rename_variables,[],[24])).
% 0.69/0.81 cnf(205,plain,
% 0.69/0.81 (P4(x2051,f6(x2052,x2051))),
% 0.69/0.81 inference(rename_variables,[],[77])).
% 0.69/0.81 cnf(220,plain,
% 0.69/0.81 (~P2(x2201,f6(x2201,x2201))),
% 0.69/0.81 inference(scs_inference,[],[30,32,28,25,24,66,73,176,114,77,175,205,83,183,91,81,97,116,140,134,101,93,135,146,103,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54,44,42,34,39,64,56,53,21,18,17,3,60,59,58,41,40,15,50])).
% 0.69/0.81 cnf(225,plain,
% 0.69/0.81 (P3(f6(x2251,x2252),f6(x2252,x2251))),
% 0.69/0.81 inference(rename_variables,[],[114])).
% 0.69/0.81 cnf(226,plain,
% 0.69/0.81 (P3(f6(f6(x2261,x2262),a1),f6(x2262,f6(x2261,a1)))),
% 0.69/0.81 inference(scs_inference,[],[30,32,28,25,24,204,66,73,176,114,225,77,175,205,83,183,91,81,144,97,116,140,134,101,93,135,146,103,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54,44,42,34,39,64,56,53,21,18,17,3,60,59,58,41,40,15,50,22,20,19])).
% 0.69/0.81 cnf(236,plain,
% 0.69/0.81 (~P1(f6(a8,a7),f6(f6(a7,a8),f6(a7,a8)))),
% 0.69/0.81 inference(scs_inference,[],[30,32,28,25,24,204,66,73,176,114,225,130,77,175,205,83,183,91,81,182,89,144,97,116,140,134,101,93,135,146,103,46,61,45,43,38,37,49,48,65,55,62,57,51,63,54,44,42,34,39,64,56,53,21,18,17,3,60,59,58,41,40,15,50,22,20,19,16,2,4,150,47])).
% 0.69/0.81 cnf(240,plain,
% 0.69/0.81 (P3(f6(x2401,x2402),f6(f6(x2403,x2401),x2402))),
% 0.69/0.81 inference(scs_inference,[],[220,168,46,45])).
% 0.69/0.81 cnf(244,plain,
% 0.69/0.81 (P4(f6(x2441,x2442),f6(x2441,f6(x2442,x2443)))),
% 0.69/0.81 inference(scs_inference,[],[66,220,168,46,45,37,49])).
% 0.69/0.81 cnf(249,plain,
% 0.69/0.81 (~E(f6(x2491,x2492),x2491)),
% 0.69/0.81 inference(rename_variables,[],[162])).
% 0.69/0.81 cnf(251,plain,
% 0.69/0.81 (~P4(x2511,x2511)),
% 0.69/0.81 inference(scs_inference,[],[66,220,168,162,249,46,45,37,49,48,62,61])).
% 0.69/0.81 cnf(256,plain,
% 0.69/0.81 (~P4(f6(x2561,x2562),x2561)),
% 0.69/0.81 inference(scs_inference,[],[66,25,220,168,162,249,46,45,37,49,48,62,61,38,54])).
% 0.69/0.81 cnf(261,plain,
% 0.69/0.81 (P3(f6(f6(x2611,x2612),a1),f6(x2612,f6(x2611,a1)))),
% 0.69/0.81 inference(rename_variables,[],[226])).
% 0.69/0.81 cnf(264,plain,
% 0.69/0.81 (~P4(f6(f6(x2641,a7),a8),f6(a9,a8))),
% 0.69/0.81 inference(scs_inference,[],[67,66,25,220,168,162,249,202,226,114,46,45,37,49,48,62,61,38,54,43,60,57])).
% 0.69/0.81 cnf(265,plain,
% 0.69/0.81 (P4(f6(x2651,x2652),f6(f6(x2653,x2651),x2652))),
% 0.69/0.81 inference(rename_variables,[],[168])).
% 0.69/0.81 cnf(267,plain,
% 0.69/0.81 (~E(f6(x2671,x2672),f6(x2671,f6(x2672,x2673)))),
% 0.69/0.81 inference(scs_inference,[],[67,66,25,220,168,160,162,249,202,226,114,46,45,37,49,48,62,61,38,54,43,60,57,55])).
% 0.69/0.81 cnf(276,plain,
% 0.69/0.81 (E(a7,a9)),
% 0.69/0.81 inference(scs_inference,[],[67,66,25,220,168,160,162,249,185,202,226,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41])).
% 0.69/0.81 cnf(280,plain,
% 0.69/0.82 (P3(f6(x2801,f6(x2802,x2803)),f6(f6(x2801,x2802),x2803))),
% 0.69/0.82 inference(scs_inference,[],[67,66,25,220,168,160,162,249,185,202,226,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34])).
% 0.69/0.82 cnf(284,plain,
% 0.69/0.82 (~P3(f6(a7,a8),a9)),
% 0.69/0.82 inference(scs_inference,[],[67,66,25,220,168,158,160,162,249,185,202,226,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34,56,59])).
% 0.69/0.82 cnf(285,plain,
% 0.69/0.82 (P4(x2851,f6(x2851,x2852))),
% 0.69/0.82 inference(rename_variables,[],[158])).
% 0.69/0.82 cnf(291,plain,
% 0.69/0.82 (~P2(f6(x2911,x2912),f6(f6(x2912,x2911),f6(x2912,x2911)))),
% 0.69/0.82 inference(scs_inference,[],[24,67,66,25,220,168,158,160,162,249,185,202,226,201,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34,56,59,44,53,21])).
% 0.69/0.82 cnf(293,plain,
% 0.69/0.82 (E(f6(x2931,x2932),f6(x2932,x2931))),
% 0.69/0.82 inference(rename_variables,[],[24])).
% 0.69/0.82 cnf(294,plain,
% 0.69/0.82 (~P3(f6(f6(x2941,a7),a8),f6(a9,a8))),
% 0.69/0.82 inference(scs_inference,[],[24,67,66,26,25,220,168,265,158,160,162,249,185,202,226,201,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34,56,59,44,53,21,15,58])).
% 0.69/0.82 cnf(299,plain,
% 0.69/0.82 (P4(x2991,f6(f6(x2991,x2992),x2993))),
% 0.69/0.82 inference(scs_inference,[],[24,293,67,66,29,26,25,220,168,265,158,285,160,162,249,185,202,226,261,201,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34,56,59,44,53,21,15,58,39,19,18])).
% 0.69/0.82 cnf(300,plain,
% 0.69/0.82 (E(f6(x3001,f6(x3002,x3003)),f6(f6(x3001,x3002),x3003))),
% 0.69/0.82 inference(rename_variables,[],[66])).
% 0.69/0.82 cnf(301,plain,
% 0.69/0.82 (P4(x3011,f6(x3011,x3012))),
% 0.69/0.82 inference(rename_variables,[],[158])).
% 0.69/0.82 cnf(302,plain,
% 0.69/0.82 (~E(f6(x3021,x3022),f2(f6(x3022,x3022),x3022))),
% 0.69/0.82 inference(scs_inference,[],[24,293,67,66,33,29,26,25,170,220,168,265,158,285,160,162,249,185,202,226,261,201,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34,56,59,44,53,21,15,58,39,19,18,3])).
% 0.69/0.82 cnf(303,plain,
% 0.69/0.82 (E(f2(f6(x3031,x3031),x3031),x3031)),
% 0.69/0.82 inference(rename_variables,[],[170])).
% 0.69/0.82 cnf(310,plain,
% 0.69/0.82 (P4(f6(x3101,x3102),f6(f6(x3101,x3103),x3102))),
% 0.69/0.82 inference(scs_inference,[],[24,293,67,66,300,33,29,26,28,25,170,303,220,168,265,158,285,301,160,162,249,185,202,226,261,107,201,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34,56,59,44,53,21,15,58,39,19,18,3,4,22,20,16,2,65])).
% 0.69/0.82 cnf(316,plain,
% 0.69/0.82 (~P3(f6(x3161,x3162),x3162)),
% 0.69/0.82 inference(scs_inference,[],[24,293,67,66,300,33,29,26,28,25,170,303,220,168,265,158,285,301,160,162,249,185,202,226,261,107,201,94,85,140,114,30,46,45,37,49,48,62,61,38,54,43,60,57,55,42,40,51,41,47,34,56,59,44,53,21,15,58,39,19,18,3,4,22,20,16,2,65,64,50,142])).
% 0.69/0.82 cnf(333,plain,
% 0.69/0.82 (~P3(f6(x3331,x3332),x3332)),
% 0.69/0.82 inference(rename_variables,[],[316])).
% 0.69/0.82 cnf(346,plain,
% 0.69/0.82 (P4(f6(x3461,x3462),f6(x3461,f6(x3462,x3463)))),
% 0.69/0.82 inference(rename_variables,[],[244])).
% 0.69/0.82 cnf(385,plain,
% 0.69/0.82 ($false),
% 0.69/0.82 inference(scs_inference,[],[24,29,26,181,291,302,75,152,251,280,240,244,346,267,310,256,316,333,299,236,203,199,132,136,264,294,284,276,158,185,62,61,37,48,38,46,45,60,49,42,65,40,17,57,54,56,43,50,39,55,51,59,47,34,58,44,3,21,15,4]),
% 0.69/0.82 ['proof']).
% 0.69/0.82 % SZS output end Proof
% 0.69/0.82 % Total time :0.160000s
%------------------------------------------------------------------------------