TSTP Solution File: NUM854+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM854+1 : 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 : n002.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 0.59s 0.65s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM854+1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 15:09:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.59/0.63 %-------------------------------------------
% 0.59/0.63 % File :CSE---1.6
% 0.59/0.63 % Problem :theBenchmark
% 0.59/0.63 % Transform :cnf
% 0.59/0.63 % Format :tptp:raw
% 0.59/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.63
% 0.59/0.63 % Result :Theorem 0.000000s
% 0.59/0.63 % Output :CNFRefutation 0.000000s
% 0.59/0.63 %-------------------------------------------
% 0.59/0.64 %------------------------------------------------------------------------------
% 0.59/0.64 % File : NUM854+1 : TPTP v8.1.2. Released v4.1.0.
% 0.59/0.64 % Domain : Number Theory
% 0.59/0.64 % Problem : holds(conjunct1(315),514,0)
% 0.59/0.64 % Version : Especial.
% 0.59/0.64 % English :
% 0.59/0.64
% 0.59/0.64 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.59/0.64 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.59/0.64 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.59/0.64 % Source : [Kue09]
% 0.59/0.64 % Names :
% 0.59/0.64
% 0.59/0.64 % Status : Theorem
% 0.59/0.64 % Rating : 0.19 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.23 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.28 v6.1.0, 0.30 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0
% 0.59/0.64 % Syntax : Number of formulae : 59 ( 17 unt; 0 def)
% 0.59/0.64 % Number of atoms : 115 ( 48 equ)
% 0.59/0.64 % Maximal formula atoms : 5 ( 1 avg)
% 0.59/0.64 % Number of connectives : 76 ( 20 ~; 14 |; 10 &)
% 0.59/0.64 % ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% 0.59/0.64 % Maximal formula depth : 8 ( 4 avg)
% 0.59/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.59/0.64 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.59/0.64 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.59/0.64 % Number of variables : 139 ( 131 !; 8 ?)
% 0.59/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.59/0.64
% 0.59/0.64 % Comments : From the Landau in Naproche 0.45 collection.
% 0.59/0.64 %------------------------------------------------------------------------------
% 0.59/0.64 fof('holds(conjunct1(315), 514, 0)',conjecture,
% 0.59/0.64 greater(vmul(vd508,vd511),vmul(vd509,vd511)) ).
% 0.59/0.64
% 0.59/0.64 fof('holds(conjunct2(314), 513, 0)',axiom,
% 0.59/0.64 greater(vd511,vd512) ).
% 0.59/0.64
% 0.59/0.64 fof('holds(conjunct1(314), 510, 0)',axiom,
% 0.59/0.64 greater(vd508,vd509) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(conjunct2(conjunct2(307)), 0), 0)',axiom,
% 0.59/0.64 ! [Vd496,Vd497,Vd498] :
% 0.59/0.64 ( less(vmul(Vd496,Vd497),vmul(Vd498,Vd497))
% 0.59/0.64 => less(Vd496,Vd498) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(conjunct1(conjunct2(307)), 0), 0)',axiom,
% 0.59/0.64 ! [Vd491,Vd492,Vd493] :
% 0.59/0.64 ( vmul(Vd491,Vd492) = vmul(Vd493,Vd492)
% 0.59/0.64 => Vd491 = Vd493 ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(conjunct1(307), 0), 0)',axiom,
% 0.59/0.64 ! [Vd486,Vd487,Vd488] :
% 0.59/0.64 ( greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487))
% 0.59/0.64 => greater(Vd486,Vd488) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(299, 0), 0)',axiom,
% 0.59/0.64 ! [Vd456,Vd465,Vd466] :
% 0.59/0.64 ( less(Vd465,Vd466)
% 0.59/0.64 => less(vmul(Vd465,Vd456),vmul(Vd466,Vd456)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(299, 0), 1)',axiom,
% 0.59/0.64 ! [Vd456,Vd461,Vd462] :
% 0.59/0.64 ( Vd461 = Vd462
% 0.59/0.64 => vmul(Vd461,Vd456) = vmul(Vd462,Vd456) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(299, 0), 2)',axiom,
% 0.59/0.64 ! [Vd456,Vd457,Vd458] :
% 0.59/0.64 ( greater(Vd457,Vd458)
% 0.59/0.64 => greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(290, 0), 0)',axiom,
% 0.59/0.64 ! [Vd444,Vd445,Vd446] : vmul(vmul(Vd444,Vd445),Vd446) = vmul(Vd444,vmul(Vd445,Vd446)) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(281, 0), 0)',axiom,
% 0.59/0.64 ! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(270, 0), 0)',axiom,
% 0.59/0.64 ! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(261, 0), 0)',axiom,
% 0.59/0.64 ! [Vd408,Vd409] : vmul(vsucc(Vd408),Vd409) = vplus(vmul(Vd408,Vd409),Vd409) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(253, 0), 0)',axiom,
% 0.59/0.64 ! [Vd400] : vmul(v1,Vd400) = Vd400 ).
% 0.59/0.64
% 0.59/0.64 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
% 0.59/0.64 ! [Vd396,Vd397] :
% 0.59/0.64 ( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)
% 0.59/0.64 & vmul(Vd396,v1) = Vd396 ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(241, 0), 0)',axiom,
% 0.59/0.64 ! [Vd386,Vd387] :
% 0.59/0.64 ( less(Vd386,vplus(Vd387,v1))
% 0.59/0.64 => leq(Vd386,Vd387) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(234, 0), 0)',axiom,
% 0.59/0.64 ! [Vd375,Vd376] :
% 0.59/0.64 ( greater(Vd375,Vd376)
% 0.59/0.64 => geq(Vd375,vplus(Vd376,v1)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(228, 0), 0)',axiom,
% 0.59/0.64 ! [Vd369] : geq(Vd369,v1) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(223, 0), 0)',axiom,
% 0.59/0.64 ! [Vd362,Vd363,Vd365,Vd366] :
% 0.59/0.64 ( ( geq(Vd365,Vd366)
% 0.59/0.64 & geq(Vd362,Vd363) )
% 0.59/0.64 => geq(vplus(Vd362,Vd365),vplus(Vd363,Vd366)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(216), 0), 0)',axiom,
% 0.59/0.64 ! [Vd353,Vd354,Vd355,Vd356] :
% 0.59/0.64 ( ( ( greater(Vd355,Vd356)
% 0.59/0.64 & geq(Vd353,Vd354) )
% 0.59/0.64 | ( geq(Vd355,Vd356)
% 0.59/0.64 & greater(Vd353,Vd354) ) )
% 0.59/0.64 => greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(209, 0), 0)',axiom,
% 0.59/0.64 ! [Vd337,Vd338,Vd340,Vd341] :
% 0.59/0.64 ( ( greater(Vd340,Vd341)
% 0.59/0.64 & greater(Vd337,Vd338) )
% 0.59/0.64 => greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(202), 0), 0)',axiom,
% 0.59/0.64 ! [Vd328,Vd329,Vd330] :
% 0.59/0.64 ( less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
% 0.59/0.64 => less(Vd328,Vd329) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(202), 0), 1)',axiom,
% 0.59/0.64 ! [Vd328,Vd329,Vd330] :
% 0.59/0.64 ( vplus(Vd328,Vd330) = vplus(Vd329,Vd330)
% 0.59/0.64 => Vd328 = Vd329 ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(202), 0), 2)',axiom,
% 0.59/0.64 ! [Vd328,Vd329,Vd330] :
% 0.59/0.64 ( greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
% 0.59/0.64 => greater(Vd328,Vd329) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(193), 0), 0)',axiom,
% 0.59/0.64 ! [Vd301,Vd302,Vd303] :
% 0.59/0.64 ( less(Vd301,Vd302)
% 0.59/0.64 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(193), 0), 1)',axiom,
% 0.59/0.64 ! [Vd301,Vd302,Vd303] :
% 0.59/0.64 ( Vd301 = Vd302
% 0.59/0.64 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(193), 0), 2)',axiom,
% 0.59/0.64 ! [Vd301,Vd302,Vd303] :
% 0.59/0.64 ( greater(Vd301,Vd302)
% 0.59/0.64 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(189, 0), 0)',axiom,
% 0.59/0.64 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(184, 0), 0)',axiom,
% 0.59/0.64 ! [Vd289,Vd290,Vd292] :
% 0.59/0.64 ( ( leq(Vd290,Vd292)
% 0.59/0.64 & leq(Vd289,Vd290) )
% 0.59/0.64 => leq(Vd289,Vd292) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(177), 0), 0)',axiom,
% 0.59/0.64 ! [Vd281,Vd282,Vd283] :
% 0.59/0.64 ( ( ( less(Vd282,Vd283)
% 0.59/0.64 & leq(Vd281,Vd282) )
% 0.59/0.64 | ( leq(Vd282,Vd283)
% 0.59/0.64 & less(Vd281,Vd282) ) )
% 0.59/0.64 => less(Vd281,Vd283) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(168, 0), 0)',axiom,
% 0.59/0.64 ! [Vd262,Vd263,Vd265] :
% 0.59/0.64 ( ( less(Vd263,Vd265)
% 0.59/0.64 & less(Vd262,Vd263) )
% 0.59/0.64 => less(Vd262,Vd265) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(163, 0), 0)',axiom,
% 0.59/0.64 ! [Vd258,Vd259] :
% 0.59/0.64 ( leq(Vd258,Vd259)
% 0.59/0.64 => geq(Vd259,Vd258) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(158, 0), 0)',axiom,
% 0.59/0.64 ! [Vd254,Vd255] :
% 0.59/0.64 ( geq(Vd254,Vd255)
% 0.59/0.64 => leq(Vd255,Vd254) ) ).
% 0.59/0.64
% 0.59/0.64 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
% 0.59/0.64 ! [Vd249,Vd250] :
% 0.59/0.64 ( leq(Vd250,Vd249)
% 0.59/0.64 <=> ( less(Vd250,Vd249)
% 0.59/0.64 | Vd250 = Vd249 ) ) ).
% 0.59/0.64
% 0.59/0.64 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
% 0.59/0.64 ! [Vd244,Vd245] :
% 0.59/0.64 ( geq(Vd245,Vd244)
% 0.59/0.64 <=> ( greater(Vd245,Vd244)
% 0.59/0.64 | Vd245 = Vd244 ) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(147, 0), 0)',axiom,
% 0.59/0.64 ! [Vd226,Vd227] :
% 0.59/0.64 ( less(Vd226,Vd227)
% 0.59/0.64 => greater(Vd227,Vd226) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(140, 0), 0)',axiom,
% 0.59/0.64 ! [Vd208,Vd209] :
% 0.59/0.64 ( greater(Vd208,Vd209)
% 0.59/0.64 => less(Vd209,Vd208) ) ).
% 0.59/0.64
% 0.59/0.64 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.59/0.65 ! [Vd203,Vd204] :
% 0.59/0.65 ( Vd203 = Vd204
% 0.59/0.65 | greater(Vd203,Vd204)
% 0.59/0.65 | less(Vd203,Vd204) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.59/0.65 ! [Vd203,Vd204] :
% 0.59/0.65 ( Vd203 != Vd204
% 0.59/0.65 | ~ less(Vd203,Vd204) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.59/0.65 ! [Vd203,Vd204] :
% 0.59/0.65 ( ~ greater(Vd203,Vd204)
% 0.59/0.65 | ~ less(Vd203,Vd204) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.59/0.65 ! [Vd203,Vd204] :
% 0.59/0.65 ( Vd203 != Vd204
% 0.59/0.65 | ~ greater(Vd203,Vd204) ) ).
% 0.59/0.65
% 0.59/0.65 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.59/0.65 ! [Vd198,Vd199] :
% 0.59/0.65 ( less(Vd199,Vd198)
% 0.59/0.65 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.59/0.65
% 0.59/0.65 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.59/0.65 ! [Vd193,Vd194] :
% 0.59/0.65 ( greater(Vd194,Vd193)
% 0.59/0.65 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.59/0.65 ! [Vd120,Vd121] :
% 0.59/0.65 ( Vd120 = Vd121
% 0.59/0.65 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.59/0.65 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.59/0.65 ! [Vd120,Vd121] :
% 0.59/0.65 ( Vd120 != Vd121
% 0.59/0.65 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.59/0.65 ! [Vd120,Vd121] :
% 0.59/0.65 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.59/0.65 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.59/0.65 ! [Vd120,Vd121] :
% 0.59/0.65 ( Vd120 != Vd121
% 0.59/0.65 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(81, 0), 0)',axiom,
% 0.59/0.65 ! [Vd104,Vd105] :
% 0.59/0.65 ( Vd104 != Vd105
% 0.59/0.65 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(73, 0), 0)',axiom,
% 0.59/0.65 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(61, 0), 0)',axiom,
% 0.59/0.65 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(52, 0), 0)',axiom,
% 0.59/0.65 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(43, 0), 0)',axiom,
% 0.59/0.65 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(33, 0), 0)',axiom,
% 0.59/0.65 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.59/0.65
% 0.59/0.65 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.59/0.65 ! [Vd42,Vd43] :
% 0.59/0.65 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.59/0.65 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(20, 0), 0)',axiom,
% 0.59/0.65 ! [Vd24] :
% 0.59/0.65 ( Vd24 != v1
% 0.59/0.65 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(12, 0), 0)',axiom,
% 0.59/0.65 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.59/0.65
% 0.59/0.65 fof('ass(cond(6, 0), 0)',axiom,
% 0.59/0.65 ! [Vd7,Vd8] :
% 0.59/0.65 ( Vd7 != Vd8
% 0.59/0.65 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.59/0.65
% 0.59/0.65 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
% 0.59/0.65 ! [Vd3,Vd4] :
% 0.59/0.65 ( vsucc(Vd3) = vsucc(Vd4)
% 0.59/0.65 => Vd3 = Vd4 ) ).
% 0.59/0.65
% 0.59/0.65 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
% 0.59/0.65 ! [Vd1] : vsucc(Vd1) != v1 ).
% 0.59/0.65
% 0.59/0.65 %------------------------------------------------------------------------------
% 0.59/0.65 %-------------------------------------------
% 0.59/0.65 % Proof found
% 0.59/0.65 % SZS status Theorem for theBenchmark
% 0.59/0.65 % SZS output start Proof
% 0.59/0.65 %ClaNum:90(EqnAxiom:24)
% 0.59/0.65 %VarNum:297(SingletonVarNum:143)
% 0.59/0.65 %MaxLitNum:3
% 0.59/0.65 %MaxfuncDepth:2
% 0.59/0.65 %SharedTerms:10
% 0.59/0.65 %goalClause: 44
% 0.59/0.65 %singleGoalClaCount:1
% 0.59/0.65 [25]P1(a1,a7)
% 0.59/0.65 [26]P1(a8,a9)
% 0.59/0.65 [44]~P1(f10(a1,a8),f10(a7,a8))
% 0.59/0.65 [27]P2(x271,a2)
% 0.59/0.65 [28]E(f10(x281,a2),x281)
% 0.59/0.65 [29]E(f10(a2,x291),x291)
% 0.59/0.65 [42]~E(f11(x421,a2),x421)
% 0.59/0.65 [31]E(f10(x311,x312),f10(x312,x311))
% 0.59/0.65 [32]E(f11(x321,x322),f11(x322,x321))
% 0.59/0.65 [33]P1(f11(x331,x332),x331)
% 0.59/0.65 [43]~E(f11(x431,x432),x432)
% 0.59/0.65 [35]E(f11(f11(x351,a2),x352),f11(f11(x351,x352),a2))
% 0.59/0.65 [36]E(f11(f10(x361,x362),x361),f10(x361,f11(x362,a2)))
% 0.59/0.65 [37]E(f11(f10(x371,x372),x372),f10(f11(x371,a2),x372))
% 0.59/0.65 [38]E(f10(f10(x381,x382),x383),f10(x381,f10(x382,x383)))
% 0.59/0.65 [39]E(f11(f11(x391,x392),x393),f11(x391,f11(x392,x393)))
% 0.59/0.65 [40]E(f11(f10(x401,x402),f10(x401,x403)),f10(x401,f11(x402,x403)))
% 0.59/0.65 [47]E(x471,a2)+E(f11(f12(x471),a2),x471)
% 0.59/0.65 [45]~E(x451,x452)+P3(x451,x452)
% 0.59/0.65 [46]~E(x461,x462)+P2(x461,x462)
% 0.59/0.65 [48]~P1(x481,x482)+~E(x481,x482)
% 0.59/0.65 [49]~P4(x491,x492)+~E(x491,x492)
% 0.59/0.65 [53]~P4(x532,x531)+P1(x531,x532)
% 0.59/0.65 [54]~P1(x542,x541)+P4(x541,x542)
% 0.59/0.65 [55]~P2(x552,x551)+P3(x551,x552)
% 0.59/0.65 [56]~P4(x561,x562)+P3(x561,x562)
% 0.59/0.65 [57]~P3(x572,x571)+P2(x571,x572)
% 0.59/0.65 [58]~P1(x581,x582)+P2(x581,x582)
% 0.59/0.65 [65]~P4(x651,x652)+~P1(x651,x652)
% 0.59/0.65 [74]~P1(x741,x742)+P2(x741,f11(x742,a2))
% 0.59/0.65 [77]P3(x771,x772)+~P4(x771,f11(x772,a2))
% 0.59/0.65 [75]~P4(x751,x752)+E(f11(x751,f3(x752,x751)),x752)
% 0.59/0.65 [76]~P1(x762,x761)+E(f11(x761,f4(x761,x762)),x762)
% 0.59/0.65 [50]~E(x501,x502)+~E(x502,f11(x501,x503))
% 0.59/0.65 [51]~E(x511,x512)+~E(x511,f11(x512,x513))
% 0.59/0.65 [59]P1(x591,x592)+~E(x591,f11(x592,x593))
% 0.59/0.65 [60]P4(x601,x602)+~E(x602,f11(x601,x603))
% 0.59/0.65 [66]E(x661,x662)+~E(f10(x661,x663),f10(x662,x663))
% 0.59/0.65 [67]E(x671,x672)+~E(f11(x671,x673),f11(x672,x673))
% 0.59/0.65 [68]E(x681,x682)+~E(f11(x683,x681),f11(x683,x682))
% 0.59/0.65 [79]~P1(x791,x793)+P1(f10(x791,x792),f10(x793,x792))
% 0.59/0.65 [80]~P1(x801,x803)+P1(f11(x801,x802),f11(x803,x802))
% 0.59/0.65 [81]~P4(x811,x813)+P4(f10(x811,x812),f10(x813,x812))
% 0.59/0.65 [82]~P4(x821,x823)+P4(f11(x821,x822),f11(x823,x822))
% 0.59/0.65 [87]P1(x871,x872)+~P1(f10(x871,x873),f10(x872,x873))
% 0.59/0.65 [88]P1(x881,x882)+~P1(f11(x881,x883),f11(x882,x883))
% 0.59/0.65 [89]P4(x891,x892)+~P4(f10(x891,x893),f10(x892,x893))
% 0.59/0.65 [90]P4(x901,x902)+~P4(f11(x901,x903),f11(x902,x903))
% 0.59/0.65 [69]~E(x691,f11(x692,x693))+~E(x692,f11(x691,x694))
% 0.59/0.65 [52]P1(x521,x522)+P4(x521,x522)+E(x521,x522)
% 0.59/0.65 [61]P1(x611,x612)+~P2(x611,x612)+E(x611,x612)
% 0.59/0.65 [62]P4(x621,x622)+~P3(x621,x622)+E(x621,x622)
% 0.59/0.65 [78]E(x781,x782)+E(f11(x781,f5(x781,x782)),x782)+E(f11(x782,f6(x781,x782)),x781)
% 0.59/0.65 [70]~P4(x703,x702)+P4(x701,x702)+~P4(x701,x703)
% 0.59/0.65 [71]~P3(x713,x712)+P4(x711,x712)+~P4(x711,x713)
% 0.59/0.65 [72]~P3(x721,x723)+P4(x721,x722)+~P4(x723,x722)
% 0.59/0.65 [73]~P3(x733,x732)+P3(x731,x732)+~P3(x731,x733)
% 0.59/0.65 [83]~P1(x831,x833)+~P1(x832,x834)+P1(f11(x831,x832),f11(x833,x834))
% 0.59/0.65 [84]~P1(x841,x843)+~P2(x842,x844)+P1(f11(x841,x842),f11(x843,x844))
% 0.59/0.65 [85]~P1(x852,x854)+~P2(x851,x853)+P1(f11(x851,x852),f11(x853,x854))
% 0.59/0.65 [86]~P2(x861,x863)+~P2(x862,x864)+P2(f11(x861,x862),f11(x863,x864))
% 0.59/0.65 %EqnAxiom
% 0.59/0.65 [1]E(x11,x11)
% 0.59/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.59/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.59/0.65 [4]~E(x41,x42)+E(f10(x41,x43),f10(x42,x43))
% 0.59/0.65 [5]~E(x51,x52)+E(f10(x53,x51),f10(x53,x52))
% 0.59/0.65 [6]~E(x61,x62)+E(f11(x61,x63),f11(x62,x63))
% 0.59/0.65 [7]~E(x71,x72)+E(f11(x73,x71),f11(x73,x72))
% 0.59/0.65 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 0.59/0.65 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 0.59/0.65 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 0.59/0.65 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 0.59/0.65 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 0.59/0.65 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 0.59/0.65 [14]~E(x141,x142)+E(f6(x141,x143),f6(x142,x143))
% 0.59/0.65 [15]~E(x151,x152)+E(f6(x153,x151),f6(x153,x152))
% 0.59/0.65 [16]~E(x161,x162)+E(f12(x161),f12(x162))
% 0.59/0.65 [17]P1(x172,x173)+~E(x171,x172)+~P1(x171,x173)
% 0.59/0.65 [18]P1(x183,x182)+~E(x181,x182)+~P1(x183,x181)
% 0.59/0.65 [19]P4(x192,x193)+~E(x191,x192)+~P4(x191,x193)
% 0.59/0.65 [20]P4(x203,x202)+~E(x201,x202)+~P4(x203,x201)
% 0.59/0.65 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 0.59/0.65 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 0.59/0.65 [23]P3(x232,x233)+~E(x231,x232)+~P3(x231,x233)
% 0.59/0.65 [24]P3(x243,x242)+~E(x241,x242)+~P3(x243,x241)
% 0.59/0.65
% 0.59/0.65 %-------------------------------------------
% 0.59/0.65 cnf(91,plain,
% 0.59/0.65 ($false),
% 0.59/0.65 inference(scs_inference,[],[25,44,79]),
% 0.59/0.65 ['proof']).
% 0.59/0.65 % SZS output end Proof
% 0.59/0.65 % Total time :0.000000s
%------------------------------------------------------------------------------