TSTP Solution File: NUM853+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 10:25:25 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.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 : Fri Aug 25 16:51:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 % File :CSE---1.6
% 0.20/0.70 % Problem :theBenchmark
% 0.20/0.70 % Transform :cnf
% 0.20/0.70 % Format :tptp:raw
% 0.20/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.70
% 0.20/0.70 % Result :Theorem 0.090000s
% 0.20/0.70 % Output :CNFRefutation 0.090000s
% 0.20/0.70 %-------------------------------------------
% 0.20/0.71 %------------------------------------------------------------------------------
% 0.20/0.71 % File : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.71 % Domain : Number Theory
% 0.20/0.71 % Problem : holds(conseq(307),490,0)
% 0.20/0.71 % Version : Especial: Reduced > Especial.
% 0.20/0.71 % English :
% 0.20/0.71
% 0.20/0.71 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.20/0.71 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.20/0.71 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.20/0.71 % Source : [Kue09]
% 0.20/0.71 % Names :
% 0.20/0.71
% 0.20/0.71 % Status : Theorem
% 0.20/0.71 % Rating : 0.31 v7.4.0, 0.37 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.35 v7.0.0, 0.30 v6.4.0, 0.38 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.33 v6.0.0, 0.35 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 v4.1.0
% 0.20/0.71 % Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% 0.20/0.71 % Number of atoms : 63 ( 37 equ)
% 0.20/0.71 % Maximal formula atoms : 3 ( 1 avg)
% 0.20/0.71 % Number of connectives : 45 ( 19 ~; 10 |; 3 &)
% 0.20/0.71 % ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% 0.20/0.71 % Maximal formula depth : 7 ( 4 avg)
% 0.20/0.71 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.71 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.71 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.20/0.71 % Number of variables : 82 ( 74 !; 8 ?)
% 0.20/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.71
% 0.20/0.71 % Comments : From the Landau in Naproche 0.45 collection.
% 0.20/0.71 % : This version uses a filtered set of axioms.
% 0.20/0.71 %------------------------------------------------------------------------------
% 0.20/0.71 fof('holds(conseq(307), 490, 0)',conjecture,
% 0.20/0.71 greater(vd486,vd488) ).
% 0.20/0.71
% 0.20/0.71 fof('holds(antec(307), 489, 0)',axiom,
% 0.20/0.71 greater(vmul(vd486,vd487),vmul(vd488,vd487)) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(299, 0), 0)',axiom,
% 0.20/0.71 ! [Vd456,Vd465,Vd466] :
% 0.20/0.71 ( less(Vd465,Vd466)
% 0.20/0.71 => less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(299, 0), 1)',axiom,
% 0.20/0.71 ! [Vd456,Vd461,Vd462] :
% 0.20/0.71 ( Vd461 = Vd462
% 0.20/0.71 => vmul(Vd461,Vd456) = vmul(Vd462,Vd456) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(299, 0), 2)',axiom,
% 0.20/0.71 ! [Vd456,Vd457,Vd458] :
% 0.20/0.71 ( greater(Vd457,Vd458)
% 0.20/0.71 => greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(290, 0), 0)',axiom,
% 0.20/0.71 ! [Vd444,Vd445,Vd446] : vmul(vmul(Vd444,Vd445),Vd446) = vmul(Vd444,vmul(Vd445,Vd446)) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(281, 0), 0)',axiom,
% 0.20/0.71 ! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(270, 0), 0)',axiom,
% 0.20/0.71 ! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(261, 0), 0)',axiom,
% 0.20/0.71 ! [Vd408,Vd409] : vmul(vsucc(Vd408),Vd409) = vplus(vmul(Vd408,Vd409),Vd409) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(253, 0), 0)',axiom,
% 0.20/0.71 ! [Vd400] : vmul(v1,Vd400) = Vd400 ).
% 0.20/0.71
% 0.20/0.71 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
% 0.20/0.71 ! [Vd396,Vd397] :
% 0.20/0.71 ( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)
% 0.20/0.71 & vmul(Vd396,v1) = Vd396 ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(241, 0), 0)',axiom,
% 0.20/0.71 ! [Vd386,Vd387] :
% 0.20/0.71 ( less(Vd386,vplus(Vd387,v1))
% 0.20/0.71 => leq(Vd386,Vd387) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(234, 0), 0)',axiom,
% 0.20/0.71 ! [Vd375,Vd376] :
% 0.20/0.71 ( greater(Vd375,Vd376)
% 0.20/0.71 => geq(Vd375,vplus(Vd376,v1)) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(228, 0), 0)',axiom,
% 0.20/0.71 ! [Vd369] : geq(Vd369,v1) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(223, 0), 0)',axiom,
% 0.20/0.71 ! [Vd362,Vd363,Vd365,Vd366] :
% 0.20/0.71 ( ( geq(Vd365,Vd366)
% 0.20/0.71 & geq(Vd362,Vd363) )
% 0.20/0.71 => geq(vplus(Vd362,Vd365),vplus(Vd363,Vd366)) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(147, 0), 0)',axiom,
% 0.20/0.71 ! [Vd226,Vd227] :
% 0.20/0.71 ( less(Vd226,Vd227)
% 0.20/0.71 => greater(Vd227,Vd226) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(140, 0), 0)',axiom,
% 0.20/0.71 ! [Vd208,Vd209] :
% 0.20/0.71 ( greater(Vd208,Vd209)
% 0.20/0.71 => less(Vd209,Vd208) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.20/0.71 ! [Vd203,Vd204] :
% 0.20/0.71 ( Vd203 = Vd204
% 0.20/0.71 | greater(Vd203,Vd204)
% 0.20/0.71 | less(Vd203,Vd204) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.20/0.71 ! [Vd203,Vd204] :
% 0.20/0.71 ( Vd203 != Vd204
% 0.20/0.71 | ~ less(Vd203,Vd204) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.20/0.71 ! [Vd203,Vd204] :
% 0.20/0.71 ( ~ greater(Vd203,Vd204)
% 0.20/0.71 | ~ less(Vd203,Vd204) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.20/0.71 ! [Vd203,Vd204] :
% 0.20/0.71 ( Vd203 != Vd204
% 0.20/0.71 | ~ greater(Vd203,Vd204) ) ).
% 0.20/0.71
% 0.20/0.71 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.20/0.71 ! [Vd198,Vd199] :
% 0.20/0.71 ( less(Vd199,Vd198)
% 0.20/0.71 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.20/0.71
% 0.20/0.71 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.20/0.71 ! [Vd193,Vd194] :
% 0.20/0.71 ( greater(Vd194,Vd193)
% 0.20/0.71 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.20/0.71 ! [Vd120,Vd121] :
% 0.20/0.71 ( Vd120 = Vd121
% 0.20/0.71 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.20/0.71 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.20/0.71 ! [Vd120,Vd121] :
% 0.20/0.71 ( Vd120 != Vd121
% 0.20/0.71 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.20/0.71 ! [Vd120,Vd121] :
% 0.20/0.71 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.20/0.71 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.20/0.71 ! [Vd120,Vd121] :
% 0.20/0.71 ( Vd120 != Vd121
% 0.20/0.71 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(81, 0), 0)',axiom,
% 0.20/0.71 ! [Vd104,Vd105] :
% 0.20/0.71 ( Vd104 != Vd105
% 0.20/0.71 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(73, 0), 0)',axiom,
% 0.20/0.71 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(61, 0), 0)',axiom,
% 0.20/0.71 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(52, 0), 0)',axiom,
% 0.20/0.71 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(43, 0), 0)',axiom,
% 0.20/0.71 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(33, 0), 0)',axiom,
% 0.20/0.71 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.20/0.71
% 0.20/0.71 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.20/0.71 ! [Vd42,Vd43] :
% 0.20/0.71 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.20/0.71 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(20, 0), 0)',axiom,
% 0.20/0.71 ! [Vd24] :
% 0.20/0.71 ( Vd24 != v1
% 0.20/0.71 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(12, 0), 0)',axiom,
% 0.20/0.71 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.20/0.71
% 0.20/0.71 fof('ass(cond(6, 0), 0)',axiom,
% 0.20/0.71 ! [Vd7,Vd8] :
% 0.20/0.71 ( Vd7 != Vd8
% 0.20/0.71 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.20/0.71
% 0.20/0.71 %------------------------------------------------------------------------------
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % Proof found
% 0.20/0.71 % SZS status Theorem for theBenchmark
% 0.20/0.71 % SZS output start Proof
% 0.20/0.72 %ClaNum:63(EqnAxiom:24)
% 0.20/0.72 %VarNum:166(SingletonVarNum:79)
% 0.20/0.72 %MaxLitNum:3
% 0.20/0.72 %MaxfuncDepth:2
% 0.20/0.72 %SharedTerms:8
% 0.20/0.72 %goalClause: 39
% 0.20/0.72 %singleGoalClaCount:1
% 0.20/0.72 [39]~P2(a7,a9)
% 0.20/0.72 [31]P2(f6(a7,a8),f6(a9,a8))
% 0.20/0.72 [25]P1(x251,a1)
% 0.20/0.72 [26]E(f6(x261,a1),x261)
% 0.20/0.72 [27]E(f6(a1,x271),x271)
% 0.20/0.72 [40]~E(f10(x401,a1),x401)
% 0.20/0.72 [29]E(f6(x291,x292),f6(x292,x291))
% 0.20/0.72 [30]E(f10(x301,x302),f10(x302,x301))
% 0.20/0.72 [41]~E(f10(x411,x412),x412)
% 0.20/0.72 [33]E(f10(f10(x331,a1),x332),f10(f10(x331,x332),a1))
% 0.20/0.72 [34]E(f10(f6(x341,x342),x341),f6(x341,f10(x342,a1)))
% 0.20/0.72 [35]E(f10(f6(x351,x352),x352),f6(f10(x351,a1),x352))
% 0.20/0.72 [36]E(f6(f6(x361,x362),x363),f6(x361,f6(x362,x363)))
% 0.20/0.72 [37]E(f10(f10(x371,x372),x373),f10(x371,f10(x372,x373)))
% 0.20/0.72 [38]E(f10(f6(x381,x382),f6(x381,x383)),f6(x381,f10(x382,x383)))
% 0.20/0.72 [42]E(x421,a1)+E(f10(f11(x421),a1),x421)
% 0.20/0.72 [43]~P2(x431,x432)+~E(x431,x432)
% 0.20/0.72 [44]~P3(x441,x442)+~E(x441,x442)
% 0.20/0.72 [48]~P3(x482,x481)+P2(x481,x482)
% 0.20/0.72 [49]~P2(x492,x491)+P3(x491,x492)
% 0.20/0.72 [53]~P3(x531,x532)+~P2(x531,x532)
% 0.20/0.72 [52]E(x521,x522)+~E(f10(x521,a1),f10(x522,a1))
% 0.20/0.72 [56]~P2(x561,x562)+P1(x561,f10(x562,a1))
% 0.20/0.72 [59]P4(x591,x592)+~P3(x591,f10(x592,a1))
% 0.20/0.72 [57]~P3(x571,x572)+E(f10(x571,f2(x572,x571)),x572)
% 0.20/0.72 [58]~P2(x582,x581)+E(f10(x581,f3(x581,x582)),x582)
% 0.20/0.72 [45]~E(x451,x452)+~E(x452,f10(x451,x453))
% 0.20/0.72 [46]~E(x461,x462)+~E(x461,f10(x462,x463))
% 0.20/0.72 [50]P2(x501,x502)+~E(x501,f10(x502,x503))
% 0.20/0.72 [51]P3(x511,x512)+~E(x512,f10(x511,x513))
% 0.20/0.72 [54]E(x541,x542)+~E(f10(x543,x541),f10(x543,x542))
% 0.20/0.72 [61]~P2(x611,x613)+P2(f6(x611,x612),f6(x613,x612))
% 0.20/0.72 [62]~P3(x621,x623)+P3(f6(x621,x622),f6(x623,x622))
% 0.20/0.72 [55]~E(x551,f10(x552,x553))+~E(x552,f10(x551,x554))
% 0.20/0.72 [47]P2(x471,x472)+P3(x471,x472)+E(x471,x472)
% 0.20/0.72 [60]E(x601,x602)+E(f10(x601,f4(x601,x602)),x602)+E(f10(x602,f5(x601,x602)),x601)
% 0.20/0.72 [63]~P1(x631,x633)+~P1(x632,x634)+P1(f10(x631,x632),f10(x633,x634))
% 0.20/0.72 %EqnAxiom
% 0.20/0.72 [1]E(x11,x11)
% 0.20/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.72 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.20/0.72 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.20/0.72 [6]~E(x61,x62)+E(f10(x61,x63),f10(x62,x63))
% 0.20/0.72 [7]~E(x71,x72)+E(f10(x73,x71),f10(x73,x72))
% 0.20/0.72 [8]~E(x81,x82)+E(f11(x81),f11(x82))
% 0.20/0.72 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 0.20/0.72 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 0.20/0.72 [11]~E(x111,x112)+E(f3(x111,x113),f3(x112,x113))
% 0.20/0.72 [12]~E(x121,x122)+E(f3(x123,x121),f3(x123,x122))
% 0.20/0.72 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 0.20/0.72 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 0.20/0.72 [15]~E(x151,x152)+E(f5(x151,x153),f5(x152,x153))
% 0.20/0.72 [16]~E(x161,x162)+E(f5(x163,x161),f5(x163,x162))
% 0.20/0.72 [17]P1(x172,x173)+~E(x171,x172)+~P1(x171,x173)
% 0.20/0.72 [18]P1(x183,x182)+~E(x181,x182)+~P1(x183,x181)
% 0.20/0.72 [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 0.20/0.72 [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 0.20/0.72 [21]P3(x212,x213)+~E(x211,x212)+~P3(x211,x213)
% 0.20/0.72 [22]P3(x223,x222)+~E(x221,x222)+~P3(x223,x221)
% 0.20/0.72 [23]P4(x232,x233)+~E(x231,x232)+~P4(x231,x233)
% 0.20/0.72 [24]P4(x243,x242)+~E(x241,x242)+~P4(x243,x241)
% 0.20/0.72
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 cnf(64,plain,
% 0.20/0.72 (E(x641,f6(x641,a1))),
% 0.20/0.72 inference(scs_inference,[],[26,2])).
% 0.20/0.72 cnf(65,plain,
% 0.20/0.72 (~P3(f6(a7,a8),f6(a9,a8))),
% 0.20/0.72 inference(scs_inference,[],[31,26,2,53])).
% 0.20/0.72 cnf(67,plain,
% 0.20/0.72 (~P2(f6(a9,a8),f6(a7,a8))),
% 0.20/0.72 inference(scs_inference,[],[31,26,2,53,49])).
% 0.20/0.72 cnf(71,plain,
% 0.20/0.72 (~P3(f6(x711,a1),x711)),
% 0.20/0.72 inference(scs_inference,[],[39,31,26,2,53,49,48,44])).
% 0.20/0.72 cnf(73,plain,
% 0.20/0.72 (~P2(f6(x731,a1),x731)),
% 0.20/0.72 inference(scs_inference,[],[39,31,26,2,53,49,48,44,43])).
% 0.20/0.72 cnf(75,plain,
% 0.20/0.72 (P3(x751,f6(f10(x751,x752),a1))),
% 0.20/0.72 inference(scs_inference,[],[39,31,26,2,53,49,48,44,43,51])).
% 0.20/0.72 cnf(76,plain,
% 0.20/0.72 (E(f6(x761,a1),x761)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(79,plain,
% 0.20/0.72 (E(f6(x791,a1),x791)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(82,plain,
% 0.20/0.72 (E(f6(x821,a1),x821)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(85,plain,
% 0.20/0.72 (E(f6(x851,a1),x851)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(88,plain,
% 0.20/0.72 (~P3(a7,a9)),
% 0.20/0.72 inference(scs_inference,[],[39,31,26,76,79,82,2,53,49,48,44,43,51,50,46,45,4,62])).
% 0.20/0.72 cnf(92,plain,
% 0.20/0.72 (~E(x921,f10(f6(f10(x921,x922),a1),x923))),
% 0.20/0.72 inference(scs_inference,[],[39,31,26,76,79,82,85,2,53,49,48,44,43,51,50,46,45,4,62,61,55])).
% 0.20/0.72 cnf(93,plain,
% 0.20/0.72 (E(f6(x931,a1),x931)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(98,plain,
% 0.20/0.72 (P3(f6(a8,a7),f6(f10(f6(a7,a8),x981),a1))),
% 0.20/0.72 inference(scs_inference,[],[39,31,26,76,79,82,85,29,2,53,49,48,44,43,51,50,46,45,4,62,61,55,58,22,21])).
% 0.20/0.72 cnf(100,plain,
% 0.20/0.72 (P2(f6(a8,a7),f6(a9,a8))),
% 0.20/0.72 inference(scs_inference,[],[39,31,26,76,79,82,85,29,2,53,49,48,44,43,51,50,46,45,4,62,61,55,58,22,21,20,19])).
% 0.20/0.72 cnf(102,plain,
% 0.20/0.72 (E(f6(x1021,a1),x1021)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(105,plain,
% 0.20/0.72 (P1(f6(a7,a8),f10(f6(a9,a8),a1))),
% 0.20/0.72 inference(scs_inference,[],[39,31,41,26,76,79,82,85,93,29,2,53,49,48,44,43,51,50,46,45,4,62,61,55,58,22,21,20,19,3,47,56])).
% 0.20/0.72 cnf(107,plain,
% 0.20/0.72 (E(f10(f11(f10(x1071,a1)),a1),f10(x1071,a1))),
% 0.20/0.72 inference(scs_inference,[],[39,31,41,26,76,79,82,85,93,29,2,53,49,48,44,43,51,50,46,45,4,62,61,55,58,22,21,20,19,3,47,56,42])).
% 0.20/0.72 cnf(108,plain,
% 0.20/0.72 (~E(f10(x1081,x1082),x1082)),
% 0.20/0.72 inference(rename_variables,[],[41])).
% 0.20/0.72 cnf(126,plain,
% 0.20/0.72 (P1(f10(x1261,x1261),f10(a1,a1))),
% 0.20/0.72 inference(scs_inference,[],[39,25,31,41,108,26,76,79,82,85,93,102,29,2,53,49,48,44,43,51,50,46,45,4,62,61,55,58,22,21,20,19,3,47,56,42,16,15,14,13,12,11,10,9,8,7,6,5,54,52,63])).
% 0.20/0.72 cnf(136,plain,
% 0.20/0.72 (P3(f6(a9,a8),f6(a7,a8))),
% 0.20/0.72 inference(scs_inference,[],[29,31,105,17,49])).
% 0.20/0.72 cnf(138,plain,
% 0.20/0.72 (~E(f6(a7,a8),f6(a9,a8))),
% 0.20/0.72 inference(scs_inference,[],[29,31,105,17,49,43])).
% 0.20/0.72 cnf(150,plain,
% 0.20/0.72 (~P2(x1501,f6(f10(x1501,x1502),a1))),
% 0.20/0.72 inference(scs_inference,[],[27,29,31,71,75,126,105,17,49,43,51,46,45,58,63,53])).
% 0.20/0.72 cnf(152,plain,
% 0.20/0.72 (P2(f6(f10(f6(a7,a8),x1521),a1),f6(a8,a7))),
% 0.20/0.72 inference(scs_inference,[],[27,29,31,71,75,126,98,105,17,49,43,51,46,45,58,63,53,48])).
% 0.20/0.72 cnf(158,plain,
% 0.20/0.72 (P3(f6(x1581,x1582),f6(f6(f10(x1581,x1583),a1),x1582))),
% 0.20/0.72 inference(scs_inference,[],[39,27,29,31,71,75,126,98,105,17,49,43,51,46,45,58,63,53,48,44,50,62])).
% 0.20/0.72 cnf(160,plain,
% 0.20/0.72 (P2(f6(f6(a7,a8),x1601),f6(f6(a9,a8),x1601))),
% 0.20/0.72 inference(scs_inference,[],[39,27,29,31,71,75,126,98,105,17,49,43,51,46,45,58,63,53,48,44,50,62,61])).
% 0.20/0.72 cnf(163,plain,
% 0.20/0.72 (E(f6(a1,x1631),x1631)),
% 0.20/0.72 inference(rename_variables,[],[27])).
% 0.20/0.72 cnf(167,plain,
% 0.20/0.72 (~P3(f6(x1671,a1),f6(a1,x1671))),
% 0.20/0.72 inference(scs_inference,[],[39,27,163,29,31,71,75,107,126,98,105,17,49,43,51,46,45,58,63,53,48,44,50,62,61,55,52,22])).
% 0.20/0.72 cnf(171,plain,
% 0.20/0.72 (~E(f10(x1711,x1712),x1711)),
% 0.20/0.72 inference(scs_inference,[],[39,27,163,30,35,25,41,29,31,26,64,71,75,107,126,98,105,17,49,43,51,46,45,58,63,53,48,44,50,62,61,55,52,22,21,19,18,3])).
% 0.20/0.72 cnf(175,plain,
% 0.20/0.72 (~E(x1751,f10(x1751,a1))),
% 0.20/0.72 inference(scs_inference,[],[39,40,27,163,30,35,25,41,29,31,26,64,71,75,107,126,98,105,17,49,43,51,46,45,58,63,53,48,44,50,62,61,55,52,22,21,19,18,3,4,20,2])).
% 0.20/0.72 cnf(176,plain,
% 0.20/0.72 (~E(x1761,f6(f10(f10(x1761,x1762),x1763),a1))),
% 0.20/0.72 inference(scs_inference,[],[39,40,27,163,30,35,25,41,29,31,26,92,64,71,75,107,126,98,105,17,49,43,51,46,45,58,63,53,48,44,50,62,61,55,52,22,21,19,18,3,4,20,2,6])).
% 0.20/0.72 cnf(180,plain,
% 0.20/0.72 (E(a7,a9)),
% 0.20/0.72 inference(scs_inference,[],[39,40,27,163,30,35,25,41,29,31,26,92,64,71,75,107,126,98,105,88,17,49,43,51,46,45,58,63,53,48,44,50,62,61,55,52,22,21,19,18,3,4,20,2,6,57,47])).
% 0.20/0.72 cnf(182,plain,
% 0.20/0.72 (~P2(f6(f6(x1821,x1822),x1823),f6(x1821,f6(x1822,x1823)))),
% 0.20/0.72 inference(scs_inference,[],[36,43])).
% 0.20/0.72 cnf(184,plain,
% 0.20/0.72 (~E(x1841,f10(f10(x1841,x1842),x1843))),
% 0.20/0.72 inference(scs_inference,[],[36,37,43,45])).
% 0.20/0.72 cnf(186,plain,
% 0.20/0.72 (~P2(x1861,x1861)),
% 0.20/0.72 inference(scs_inference,[],[36,37,171,43,45,58])).
% 0.20/0.72 cnf(187,plain,
% 0.20/0.72 (~E(f10(x1871,x1872),x1871)),
% 0.20/0.72 inference(rename_variables,[],[171])).
% 0.20/0.72 cnf(195,plain,
% 0.20/0.72 (P3(x1951,f10(f10(x1951,x1952),x1953))),
% 0.20/0.72 inference(scs_inference,[],[36,37,171,160,167,136,43,45,58,57,53,49,51])).
% 0.20/0.72 cnf(197,plain,
% 0.20/0.72 (~E(f10(f10(x1971,x1972),x1973),x1971)),
% 0.20/0.72 inference(scs_inference,[],[36,37,171,160,167,136,43,45,58,57,53,49,51,46])).
% 0.20/0.72 cnf(205,plain,
% 0.20/0.72 (P2(f10(f10(x2051,x2052),x2053),x2051)),
% 0.20/0.72 inference(scs_inference,[],[36,37,171,187,73,160,167,136,43,45,58,57,53,49,51,46,55,48,52,50])).
% 0.20/0.72 cnf(209,plain,
% 0.20/0.72 (P3(f6(x2091,x2092),f6(f10(x2091,x2093),f6(a1,x2092)))),
% 0.20/0.72 inference(scs_inference,[],[36,37,171,187,158,73,160,150,167,136,43,45,58,57,53,49,51,46,55,48,52,50,61,22])).
% 0.20/0.72 cnf(210,plain,
% 0.20/0.72 (E(f6(f6(x2101,x2102),x2103),f6(x2101,f6(x2102,x2103)))),
% 0.20/0.72 inference(rename_variables,[],[36])).
% 0.20/0.72 cnf(211,plain,
% 0.20/0.72 (P2(f6(a7,f6(a8,x2111)),f6(f6(a9,a8),x2111))),
% 0.20/0.72 inference(scs_inference,[],[36,210,37,171,187,158,73,160,150,167,136,43,45,58,57,53,49,51,46,55,48,52,50,61,22,19])).
% 0.20/0.72 cnf(212,plain,
% 0.20/0.72 (E(f6(f6(x2121,x2122),x2123),f6(x2121,f6(x2122,x2123)))),
% 0.20/0.72 inference(rename_variables,[],[36])).
% 0.20/0.72 cnf(213,plain,
% 0.20/0.72 (~P3(f6(f6(x2131,x2132),x2133),f6(x2131,f6(x2132,x2133)))),
% 0.20/0.72 inference(scs_inference,[],[36,210,212,37,171,187,158,73,160,150,167,136,43,45,58,57,53,49,51,46,55,48,52,50,61,22,19,44])).
% 0.20/0.72 cnf(216,plain,
% 0.20/0.72 (E(x2161,f6(x2161,a1))),
% 0.20/0.72 inference(rename_variables,[],[64])).
% 0.20/0.72 cnf(217,plain,
% 0.20/0.72 (E(f6(f6(x2171,x2172),x2173),f6(x2171,f6(x2172,x2173)))),
% 0.20/0.72 inference(rename_variables,[],[36])).
% 0.20/0.72 cnf(223,plain,
% 0.20/0.72 (P2(f6(f6(a7,a8),x2231),f6(a9,f6(a8,x2231)))),
% 0.20/0.72 inference(scs_inference,[],[36,210,212,217,37,64,216,30,171,187,158,73,160,150,176,167,136,75,43,45,58,57,53,49,51,46,55,48,52,50,61,22,19,44,3,4,21,6,20])).
% 0.20/0.72 cnf(224,plain,
% 0.20/0.72 (E(f6(f6(x2241,x2242),x2243),f6(x2241,f6(x2242,x2243)))),
% 0.20/0.72 inference(rename_variables,[],[36])).
% 0.20/0.72 cnf(230,plain,
% 0.20/0.72 (P3(f10(x2301,x2302),x2302)+P2(f10(x2301,x2302),x2302)),
% 0.20/0.72 inference(scs_inference,[],[36,210,212,217,224,37,64,216,30,41,171,187,158,73,160,175,150,176,167,136,75,43,45,58,57,53,49,51,46,55,48,52,50,61,22,19,44,3,4,21,6,20,2,60,54,47])).
% 0.20/0.72 cnf(239,plain,
% 0.20/0.72 (E(f10(x2391,f5(f10(x2391,x2391),x2391)),f10(x2391,x2391))),
% 0.20/0.72 inference(scs_inference,[],[41,197,100,58,60])).
% 0.20/0.72 cnf(240,plain,
% 0.20/0.72 (~E(f10(f10(x2401,x2402),x2403),x2401)),
% 0.20/0.72 inference(rename_variables,[],[197])).
% 0.20/0.72 cnf(257,plain,
% 0.20/0.72 (~P3(f10(x2571,x2572),x2571)),
% 0.20/0.72 inference(scs_inference,[],[65,33,64,41,184,197,240,209,152,211,100,58,60,54,43,51,45,55,48,49,57])).
% 0.20/0.72 cnf(262,plain,
% 0.20/0.72 (~P2(x2621,f10(f10(x2621,x2622),x2623))),
% 0.20/0.72 inference(scs_inference,[],[65,33,64,29,41,184,195,197,240,209,152,211,100,58,60,54,43,51,45,55,48,49,57,46,53])).
% 0.20/0.72 cnf(266,plain,
% 0.20/0.72 (~E(x2661,f10(x2661,x2662))),
% 0.20/0.72 inference(scs_inference,[],[65,33,64,29,41,186,184,195,197,240,209,152,211,100,58,60,54,43,51,45,55,48,49,57,46,53,44,50])).
% 0.20/0.72 cnf(271,plain,
% 0.20/0.72 (P2(f6(f10(f10(x2711,x2712),x2713),x2714),f6(x2711,x2714))),
% 0.20/0.72 inference(scs_inference,[],[65,33,64,29,41,182,186,184,195,197,240,205,209,152,211,223,100,58,60,54,43,51,45,55,48,49,57,46,53,44,50,19,61])).
% 0.20/0.72 cnf(293,plain,
% 0.20/0.72 (~E(f10(f10(x2931,x2932),x2933),x2931)),
% 0.20/0.72 inference(rename_variables,[],[197])).
% 0.20/0.72 cnf(323,plain,
% 0.20/0.72 (E(f6(x3231,a1),x3231)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(325,plain,
% 0.20/0.72 (E(f6(x3251,a1),x3251)),
% 0.20/0.72 inference(rename_variables,[],[26])).
% 0.20/0.72 cnf(331,plain,
% 0.20/0.72 ($false),
% 0.20/0.72 inference(scs_inference,[],[26,323,325,67,34,33,65,27,30,41,239,213,257,266,271,262,138,180,197,293,230,58,60,48,43,54,7,51,45,55,53,49,46,44,50,19,22,21,3,2,4]),
% 0.20/0.72 ['proof']).
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time :0.090000s
%------------------------------------------------------------------------------