TSTP Solution File: NUM843+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM843+2 : 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 : n008.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 10:25:20 EDT 2023
% Result : Theorem 0.20s 0.66s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM843+2 : 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 15:21:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.010000s
% 0.20/0.64 % Output :CNFRefutation 0.010000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 % File : NUM843+2 : TPTP v8.1.2. Released v4.1.0.
% 0.20/0.65 % Domain : Number Theory
% 0.20/0.65 % Problem : holds(244,394,0)
% 0.20/0.65 % Version : Especial: Reduced > Especial.
% 0.20/0.65 % English :
% 0.20/0.65
% 0.20/0.65 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.20/0.65 % : [Kue09] Kuehlwein (2009), Email to Geoff Sutcliffe
% 0.20/0.65 % : [KC+10] Kuehlwein et al. (2010), Premise Selection in the Napr
% 0.20/0.65 % Source : [Kue09]
% 0.20/0.65 % Names :
% 0.20/0.65
% 0.20/0.65 % Status : ContradictoryAxioms
% 0.20/0.65 % Rating : 0.17 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.14 v7.3.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0, 0.10 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0
% 0.20/0.65 % Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% 0.20/0.65 % Number of atoms : 94 ( 37 equ)
% 0.20/0.65 % Maximal formula atoms : 5 ( 2 avg)
% 0.20/0.65 % Number of connectives : 69 ( 21 ~; 14 |; 9 &)
% 0.20/0.65 % ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% 0.20/0.65 % Maximal formula depth : 8 ( 5 avg)
% 0.20/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.65 % Number of predicates : 5 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.65 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.20/0.65 % Number of variables : 106 ( 98 !; 8 ?)
% 0.20/0.65 % SPC : FOF_CAX_RFO_SEQ
% 0.20/0.65
% 0.20/0.65 % Comments : From the Landau in Naproche 0.45 collection.
% 0.20/0.65 % : This version uses a filtered set of axioms.
% 0.20/0.65 %------------------------------------------------------------------------------
% 0.20/0.65 fof('holds(244, 394, 0)',conjecture,
% 0.20/0.65 greater(vd390,vd391) ).
% 0.20/0.65
% 0.20/0.65 fof('holds(conjunct2(243), 393, 0)',axiom,
% 0.20/0.65 ~ leq(vd390,vd391) ).
% 0.20/0.65
% 0.20/0.65 fof('holds(conjunct1(243), 392, 0)',axiom,
% 0.20/0.65 less(vd390,vplus(vd391,v1)) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(234, 0), 0)',axiom,
% 0.20/0.65 ! [Vd375,Vd376] :
% 0.20/0.65 ( greater(Vd375,Vd376)
% 0.20/0.65 => geq(Vd375,vplus(Vd376,v1)) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(228, 0), 0)',axiom,
% 0.20/0.65 ! [Vd369] : geq(Vd369,v1) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(223, 0), 0)',axiom,
% 0.20/0.65 ! [Vd362,Vd363,Vd365,Vd366] :
% 0.20/0.65 ( ( geq(Vd365,Vd366)
% 0.20/0.65 & geq(Vd362,Vd363) )
% 0.20/0.65 => geq(vplus(Vd362,Vd365),vplus(Vd363,Vd366)) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(216), 0), 0)',axiom,
% 0.20/0.65 ! [Vd353,Vd354,Vd355,Vd356] :
% 0.20/0.65 ( ( ( greater(Vd355,Vd356)
% 0.20/0.65 & geq(Vd353,Vd354) )
% 0.20/0.65 | ( geq(Vd355,Vd356)
% 0.20/0.65 & greater(Vd353,Vd354) ) )
% 0.20/0.65 => greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(209, 0), 0)',axiom,
% 0.20/0.65 ! [Vd337,Vd338,Vd340,Vd341] :
% 0.20/0.65 ( ( greater(Vd340,Vd341)
% 0.20/0.65 & greater(Vd337,Vd338) )
% 0.20/0.65 => greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(202), 0), 0)',axiom,
% 0.20/0.65 ! [Vd328,Vd329,Vd330] :
% 0.20/0.65 ( less(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
% 0.20/0.65 => less(Vd328,Vd329) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(202), 0), 1)',axiom,
% 0.20/0.65 ! [Vd328,Vd329,Vd330] :
% 0.20/0.65 ( vplus(Vd328,Vd330) = vplus(Vd329,Vd330)
% 0.20/0.65 => Vd328 = Vd329 ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(202), 0), 2)',axiom,
% 0.20/0.65 ! [Vd328,Vd329,Vd330] :
% 0.20/0.65 ( greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
% 0.20/0.65 => greater(Vd328,Vd329) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(193), 0), 0)',axiom,
% 0.20/0.65 ! [Vd301,Vd302,Vd303] :
% 0.20/0.65 ( less(Vd301,Vd302)
% 0.20/0.65 => less(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(193), 0), 1)',axiom,
% 0.20/0.65 ! [Vd301,Vd302,Vd303] :
% 0.20/0.65 ( Vd301 = Vd302
% 0.20/0.65 => vplus(Vd301,Vd303) = vplus(Vd302,Vd303) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(193), 0), 2)',axiom,
% 0.20/0.65 ! [Vd301,Vd302,Vd303] :
% 0.20/0.65 ( greater(Vd301,Vd302)
% 0.20/0.65 => greater(vplus(Vd301,Vd303),vplus(Vd302,Vd303)) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(189, 0), 0)',axiom,
% 0.20/0.65 ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(184, 0), 0)',axiom,
% 0.20/0.65 ! [Vd289,Vd290,Vd292] :
% 0.20/0.65 ( ( leq(Vd290,Vd292)
% 0.20/0.65 & leq(Vd289,Vd290) )
% 0.20/0.65 => leq(Vd289,Vd292) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(goal(177), 0), 0)',axiom,
% 0.20/0.65 ! [Vd281,Vd282,Vd283] :
% 0.20/0.65 ( ( ( less(Vd282,Vd283)
% 0.20/0.65 & leq(Vd281,Vd282) )
% 0.20/0.65 | ( leq(Vd282,Vd283)
% 0.20/0.65 & less(Vd281,Vd282) ) )
% 0.20/0.65 => less(Vd281,Vd283) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(168, 0), 0)',axiom,
% 0.20/0.65 ! [Vd262,Vd263,Vd265] :
% 0.20/0.65 ( ( less(Vd263,Vd265)
% 0.20/0.65 & less(Vd262,Vd263) )
% 0.20/0.65 => less(Vd262,Vd265) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(163, 0), 0)',axiom,
% 0.20/0.65 ! [Vd258,Vd259] :
% 0.20/0.65 ( leq(Vd258,Vd259)
% 0.20/0.65 => geq(Vd259,Vd258) ) ).
% 0.20/0.65
% 0.20/0.65 fof('ass(cond(158, 0), 0)',axiom,
% 0.20/0.65 ! [Vd254,Vd255] :
% 0.20/0.65 ( geq(Vd254,Vd255)
% 0.20/0.66 => leq(Vd255,Vd254) ) ).
% 0.20/0.66
% 0.20/0.66 fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
% 0.20/0.66 ! [Vd249,Vd250] :
% 0.20/0.66 ( leq(Vd250,Vd249)
% 0.20/0.66 <=> ( less(Vd250,Vd249)
% 0.20/0.66 | Vd250 = Vd249 ) ) ).
% 0.20/0.66
% 0.20/0.66 fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
% 0.20/0.66 ! [Vd244,Vd245] :
% 0.20/0.66 ( geq(Vd245,Vd244)
% 0.20/0.66 <=> ( greater(Vd245,Vd244)
% 0.20/0.66 | Vd245 = Vd244 ) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(147, 0), 0)',axiom,
% 0.20/0.66 ! [Vd226,Vd227] :
% 0.20/0.66 ( less(Vd226,Vd227)
% 0.20/0.66 => greater(Vd227,Vd226) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(140, 0), 0)',axiom,
% 0.20/0.66 ! [Vd208,Vd209] :
% 0.20/0.66 ( greater(Vd208,Vd209)
% 0.20/0.66 => less(Vd209,Vd208) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(130), 0), 0)',axiom,
% 0.20/0.66 ! [Vd203,Vd204] :
% 0.20/0.66 ( Vd203 = Vd204
% 0.20/0.66 | greater(Vd203,Vd204)
% 0.20/0.66 | less(Vd203,Vd204) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(130), 0), 1)',axiom,
% 0.20/0.66 ! [Vd203,Vd204] :
% 0.20/0.66 ( Vd203 != Vd204
% 0.20/0.66 | ~ less(Vd203,Vd204) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(130), 0), 2)',axiom,
% 0.20/0.66 ! [Vd203,Vd204] :
% 0.20/0.66 ( ~ greater(Vd203,Vd204)
% 0.20/0.66 | ~ less(Vd203,Vd204) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(130), 0), 3)',axiom,
% 0.20/0.66 ! [Vd203,Vd204] :
% 0.20/0.66 ( Vd203 != Vd204
% 0.20/0.66 | ~ greater(Vd203,Vd204) ) ).
% 0.20/0.66
% 0.20/0.66 fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
% 0.20/0.66 ! [Vd198,Vd199] :
% 0.20/0.66 ( less(Vd199,Vd198)
% 0.20/0.66 <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ) ).
% 0.20/0.66
% 0.20/0.66 fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
% 0.20/0.66 ! [Vd193,Vd194] :
% 0.20/0.66 ( greater(Vd194,Vd193)
% 0.20/0.66 <=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(88), 0), 0)',axiom,
% 0.20/0.66 ! [Vd120,Vd121] :
% 0.20/0.66 ( Vd120 = Vd121
% 0.20/0.66 | ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.20/0.66 | ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(88), 0), 1)',axiom,
% 0.20/0.66 ! [Vd120,Vd121] :
% 0.20/0.66 ( Vd120 != Vd121
% 0.20/0.66 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(88), 0), 2)',axiom,
% 0.20/0.66 ! [Vd120,Vd121] :
% 0.20/0.66 ( ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123)
% 0.20/0.66 | ~ ? [Vd125] : Vd121 = vplus(Vd120,Vd125) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(goal(88), 0), 3)',axiom,
% 0.20/0.66 ! [Vd120,Vd121] :
% 0.20/0.66 ( Vd120 != Vd121
% 0.20/0.66 | ~ ? [Vd123] : Vd120 = vplus(Vd121,Vd123) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(81, 0), 0)',axiom,
% 0.20/0.66 ! [Vd104,Vd105] :
% 0.20/0.66 ( Vd104 != Vd105
% 0.20/0.66 => ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(73, 0), 0)',axiom,
% 0.20/0.66 ! [Vd92,Vd93] : Vd93 != vplus(Vd92,Vd93) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(61, 0), 0)',axiom,
% 0.20/0.66 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(52, 0), 0)',axiom,
% 0.20/0.66 ! [Vd68,Vd69] : vplus(vsucc(Vd68),Vd69) = vsucc(vplus(Vd68,Vd69)) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(43, 0), 0)',axiom,
% 0.20/0.66 ! [Vd59] : vplus(v1,Vd59) = vsucc(Vd59) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(33, 0), 0)',axiom,
% 0.20/0.66 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) ).
% 0.20/0.66
% 0.20/0.66 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
% 0.20/0.66 ! [Vd42,Vd43] :
% 0.20/0.66 ( vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43))
% 0.20/0.66 & vplus(Vd42,v1) = vsucc(Vd42) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(20, 0), 0)',axiom,
% 0.20/0.66 ! [Vd24] :
% 0.20/0.66 ( Vd24 != v1
% 0.20/0.66 => Vd24 = vsucc(vskolem2(Vd24)) ) ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(12, 0), 0)',axiom,
% 0.20/0.66 ! [Vd16] : vsucc(Vd16) != Vd16 ).
% 0.20/0.66
% 0.20/0.66 fof('ass(cond(6, 0), 0)',axiom,
% 0.20/0.66 ! [Vd7,Vd8] :
% 0.20/0.66 ( Vd7 != Vd8
% 0.20/0.66 => vsucc(Vd7) != vsucc(Vd8) ) ).
% 0.20/0.66
% 0.20/0.66 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
% 0.20/0.66 ! [Vd3,Vd4] :
% 0.20/0.66 ( vsucc(Vd3) = vsucc(Vd4)
% 0.20/0.66 => Vd3 = Vd4 ) ).
% 0.20/0.66
% 0.20/0.66 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
% 0.20/0.66 ! [Vd1] : vsucc(Vd1) != v1 ).
% 0.20/0.66
% 0.20/0.66 %------------------------------------------------------------------------------
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % Proof found
% 0.20/0.66 % SZS status Theorem for theBenchmark
% 0.20/0.66 % SZS output start Proof
% 0.20/0.66 %ClaNum:75(EqnAxiom:22)
% 0.20/0.66 %VarNum:232(SingletonVarNum:112)
% 0.20/0.66 %MaxLitNum:3
% 0.20/0.66 %MaxfuncDepth:2
% 0.20/0.66 %SharedTerms:7
% 0.20/0.66 %goalClause: 31
% 0.20/0.66 %singleGoalClaCount:1
% 0.20/0.66 [31]~P3(a7,a8)
% 0.20/0.66 [32]~P4(a7,a8)
% 0.20/0.66 [26]P2(a7,f6(a8,a1))
% 0.20/0.66 [23]P1(x231,a1)
% 0.20/0.66 [34]~E(f6(x341,a1),x341)
% 0.20/0.66 [25]E(f6(x251,x252),f6(x252,x251))
% 0.20/0.66 [27]P3(f6(x271,x272),x271)
% 0.20/0.66 [35]~E(f6(x351,x352),x352)
% 0.20/0.66 [29]E(f6(f6(x291,a1),x292),f6(f6(x291,x292),a1))
% 0.20/0.66 [30]E(f6(f6(x301,x302),x303),f6(x301,f6(x302,x303)))
% 0.20/0.66 [38]E(x381,a1)+E(f6(f9(x381),a1),x381)
% 0.20/0.66 [36]~E(x361,x362)+P4(x361,x362)
% 0.20/0.66 [37]~E(x371,x372)+P1(x371,x372)
% 0.20/0.66 [39]~P3(x391,x392)+~E(x391,x392)
% 0.20/0.66 [40]~P2(x401,x402)+~E(x401,x402)
% 0.20/0.66 [44]~P2(x442,x441)+P3(x441,x442)
% 0.20/0.66 [45]~P1(x452,x451)+P4(x451,x452)
% 0.20/0.66 [46]~P2(x461,x462)+P4(x461,x462)
% 0.20/0.66 [47]~P3(x472,x471)+P2(x471,x472)
% 0.20/0.66 [48]~P4(x482,x481)+P1(x481,x482)
% 0.20/0.66 [49]~P3(x491,x492)+P1(x491,x492)
% 0.20/0.66 [56]~P2(x561,x562)+~P3(x561,x562)
% 0.20/0.66 [64]~P3(x641,x642)+P1(x641,f6(x642,a1))
% 0.20/0.66 [65]~P2(x651,x652)+E(f6(x651,f2(x652,x651)),x652)
% 0.20/0.66 [66]~P3(x662,x661)+E(f6(x661,f3(x661,x662)),x662)
% 0.20/0.66 [41]~E(x411,x412)+~E(x412,f6(x411,x413))
% 0.20/0.66 [42]~E(x421,x422)+~E(x421,f6(x422,x423))
% 0.20/0.66 [50]P3(x501,x502)+~E(x501,f6(x502,x503))
% 0.20/0.66 [51]P2(x511,x512)+~E(x512,f6(x511,x513))
% 0.20/0.66 [57]E(x571,x572)+~E(f6(x571,x573),f6(x572,x573))
% 0.20/0.66 [58]E(x581,x582)+~E(f6(x583,x581),f6(x583,x582))
% 0.20/0.66 [68]~P3(x681,x683)+P3(f6(x681,x682),f6(x683,x682))
% 0.20/0.66 [69]~P2(x691,x693)+P2(f6(x691,x692),f6(x693,x692))
% 0.20/0.66 [74]P3(x741,x742)+~P3(f6(x741,x743),f6(x742,x743))
% 0.20/0.66 [75]P2(x751,x752)+~P2(f6(x751,x753),f6(x752,x753))
% 0.20/0.66 [59]~E(x591,f6(x592,x593))+~E(x592,f6(x591,x594))
% 0.20/0.66 [43]P3(x431,x432)+P2(x431,x432)+E(x431,x432)
% 0.20/0.66 [52]P3(x521,x522)+~P1(x521,x522)+E(x521,x522)
% 0.20/0.66 [53]P2(x531,x532)+~P4(x531,x532)+E(x531,x532)
% 0.20/0.66 [67]E(x671,x672)+E(f6(x671,f4(x671,x672)),x672)+E(f6(x672,f5(x671,x672)),x671)
% 0.20/0.66 [60]~P4(x603,x602)+P4(x601,x602)+~P4(x601,x603)
% 0.20/0.66 [61]~P2(x613,x612)+P2(x611,x612)+~P4(x611,x613)
% 0.20/0.66 [62]~P2(x621,x623)+P2(x621,x622)+~P4(x623,x622)
% 0.20/0.66 [63]~P2(x633,x632)+P2(x631,x632)+~P2(x631,x633)
% 0.20/0.66 [70]~P3(x701,x703)+~P3(x702,x704)+P3(f6(x701,x702),f6(x703,x704))
% 0.20/0.66 [71]~P3(x711,x713)+~P1(x712,x714)+P3(f6(x711,x712),f6(x713,x714))
% 0.20/0.66 [72]~P3(x722,x724)+~P1(x721,x723)+P3(f6(x721,x722),f6(x723,x724))
% 0.20/0.66 [73]~P1(x731,x733)+~P1(x732,x734)+P1(f6(x731,x732),f6(x733,x734))
% 0.20/0.66 %EqnAxiom
% 0.20/0.66 [1]E(x11,x11)
% 0.20/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.66 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.20/0.66 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.20/0.66 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.20/0.66 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.20/0.66 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.20/0.66 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.20/0.66 [10]~E(x101,x102)+E(f3(x101,x103),f3(x102,x103))
% 0.20/0.66 [11]~E(x111,x112)+E(f3(x113,x111),f3(x113,x112))
% 0.20/0.66 [12]~E(x121,x122)+E(f2(x121,x123),f2(x122,x123))
% 0.20/0.66 [13]~E(x131,x132)+E(f2(x133,x131),f2(x133,x132))
% 0.20/0.66 [14]~E(x141,x142)+E(f9(x141),f9(x142))
% 0.20/0.66 [15]P1(x152,x153)+~E(x151,x152)+~P1(x151,x153)
% 0.20/0.66 [16]P1(x163,x162)+~E(x161,x162)+~P1(x163,x161)
% 0.20/0.66 [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173)
% 0.20/0.66 [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181)
% 0.20/0.66 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 0.20/0.66 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 0.20/0.66 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 0.20/0.66 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 0.20/0.66
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 cnf(108,plain,
% 0.20/0.66 (E(f6(x1081,x1082),f6(x1082,x1081))),
% 0.20/0.66 inference(rename_variables,[],[25])).
% 0.20/0.66 cnf(118,plain,
% 0.20/0.66 ($false),
% 0.20/0.66 inference(scs_inference,[],[31,23,32,26,27,35,25,108,30,2,56,47,46,45,44,40,39,37,36,51,50,42,41,69,68,59,19,17,16,3,63,43]),
% 0.20/0.66 ['proof']).
% 0.20/0.66 % SZS output end Proof
% 0.20/0.66 % Total time :0.010000s
%------------------------------------------------------------------------------