TSTP Solution File: SET764+4 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SET764+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n021.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 14:30:58 EDT 2023

% Result   : Theorem 0.91s 0.98s
% Output   : CNFRefutation 0.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET764+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 15:03:27 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.59  start to proof:theBenchmark
% 0.91/0.97  %-------------------------------------------
% 0.91/0.97  % File        :CSE---1.6
% 0.91/0.97  % Problem     :theBenchmark
% 0.91/0.97  % Transform   :cnf
% 0.91/0.97  % Format      :tptp:raw
% 0.91/0.97  % Command     :java -jar mcs_scs.jar %d %s
% 0.91/0.97  
% 0.91/0.97  % Result      :Theorem 0.270000s
% 0.91/0.97  % Output      :CNFRefutation 0.270000s
% 0.91/0.97  %-------------------------------------------
% 0.91/0.97  %------------------------------------------------------------------------------
% 0.91/0.97  % File     : SET764+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.91/0.97  % Domain   : Set Theory (Mappings)
% 0.91/0.97  % Problem  : The inverse image of empty set is empty
% 0.91/0.97  % Version  : [Pas99] axioms.
% 0.91/0.97  % English  :
% 0.91/0.97  
% 0.91/0.97  % Refs     : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.91/0.97  % Source   : [Pas99]
% 0.91/0.97  % Names    :
% 0.91/0.97  
% 0.91/0.97  % Status   : Theorem
% 0.91/0.98  % Rating   : 0.19 v8.1.0, 0.17 v7.5.0, 0.16 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.21 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.30 v5.5.0, 0.41 v5.4.0, 0.43 v5.3.0, 0.44 v5.2.0, 0.35 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.39 v4.0.0, 0.42 v3.7.0, 0.40 v3.5.0, 0.42 v3.4.0, 0.47 v3.3.0, 0.43 v3.2.0, 0.45 v3.1.0, 0.56 v2.7.0, 0.33 v2.6.0, 0.43 v2.5.0, 0.38 v2.4.0, 0.50 v2.3.0, 0.33 v2.2.1
% 0.91/0.98  % Syntax   : Number of formulae    :   29 (   1 unt;   0 def)
% 0.91/0.98  %            Number of atoms       :  130 (   6 equ)
% 0.91/0.98  %            Maximal formula atoms :   11 (   4 avg)
% 0.91/0.98  %            Number of connectives :  103 (   2   ~;   2   |;  50   &)
% 0.91/0.98  %                                         (  30 <=>;  19  =>;   0  <=;   0 <~>)
% 0.91/0.98  %            Maximal formula depth :   19 (   9 avg)
% 0.91/0.98  %            Maximal term depth    :    2 (   1 avg)
% 0.91/0.98  %            Number of predicates  :   16 (  15 usr;   0 prp; 2-6 aty)
% 0.91/0.98  %            Number of functors    :   15 (  15 usr;   1 con; 0-5 aty)
% 0.91/0.98  %            Number of variables   :  136 ( 127   !;   9   ?)
% 0.91/0.98  % SPC      : FOF_THM_RFO_SEQ
% 0.91/0.98  
% 0.91/0.98  % Comments :
% 0.91/0.98  % Bugfixes : v2.2.1 - Bugfixes in SET006+1.ax.
% 0.91/0.98  %------------------------------------------------------------------------------
% 0.91/0.98  %----Include set theory definitions
% 0.91/0.98  include('Axioms/SET006+0.ax').
% 0.91/0.98  %----Include mappings axioms
% 0.91/0.98  include('Axioms/SET006+1.ax').
% 0.91/0.98  %------------------------------------------------------------------------------
% 0.91/0.98  fof(thIIa14,conjecture,
% 0.91/0.98      ! [F,A,B] :
% 0.91/0.98        ( maps(F,A,B)
% 0.91/0.98       => equal_set(inverse_image2(F,empty_set),empty_set) ) ).
% 0.91/0.98  
% 0.91/0.98  %------------------------------------------------------------------------------
% 0.91/0.98  %-------------------------------------------
% 0.91/0.98  % Proof found
% 0.91/0.98  % SZS status Theorem for theBenchmark
% 0.91/0.98  % SZS output start Proof
% 0.91/0.98  %ClaNum:388(EqnAxiom:252)
% 0.91/0.98  %VarNum:1641(SingletonVarNum:571)
% 0.91/0.98  %MaxLitNum:9
% 0.91/0.98  %MaxfuncDepth:1
% 0.91/0.98  %SharedTerms:7
% 0.91/0.98  %goalClause: 253 255
% 0.91/0.98  %singleGoalClaCount:2
% 0.91/0.98  [253]P1(a1,a39,a40)
% 0.91/0.98  [255]~P2(f41(a1,a2),a2)
% 0.91/0.98  [254]~P12(x2541,a2)
% 0.91/0.98  [258]~P2(x2582,x2581)+P13(x2581,x2582)
% 0.91/0.98  [259]~P2(x2591,x2592)+P13(x2591,x2592)
% 0.91/0.98  [256]~E(x2561,x2562)+P12(x2561,f52(x2562))
% 0.91/0.98  [257]E(x2571,x2572)+~P12(x2571,f52(x2572))
% 0.91/0.98  [260]~P13(x2601,x2602)+P12(x2601,f53(x2602))
% 0.91/0.98  [263]P13(x2631,x2632)+~P12(x2631,f53(x2632))
% 0.91/0.98  [264]P13(x2641,x2642)+P12(f5(x2641,x2642),x2641)
% 0.91/0.98  [265]P7(x2651,x2652)+P12(f6(x2651,x2652),x2652)
% 0.91/0.98  [268]P12(f16(x2681,x2682),x2682)+P12(x2681,f55(x2682))
% 0.91/0.98  [274]~P12(x2741,f58(x2742))+P12(x2741,f17(x2741,x2742))
% 0.91/0.98  [275]~P12(x2751,f58(x2752))+P12(f17(x2751,x2752),x2752)
% 0.91/0.98  [280]P13(x2801,x2802)+~P12(f5(x2801,x2802),x2802)
% 0.91/0.98  [281]~P12(x2811,f16(x2811,x2812))+P12(x2811,f55(x2812))
% 0.91/0.98  [294]P7(x2941,x2942)+~P3(x2941,f6(x2941,x2942),f6(x2941,x2942))
% 0.91/0.98  [286]~P14(x2861,x2862,x2863)+P8(x2861,x2862,x2863)
% 0.91/0.98  [287]~P14(x2871,x2872,x2873)+P15(x2871,x2872,x2873)
% 0.91/0.98  [261]~E(x2611,x2613)+P12(x2611,f56(x2612,x2613))
% 0.91/0.98  [262]~E(x2621,x2622)+P12(x2621,f56(x2622,x2623))
% 0.91/0.98  [269]~P12(x2691,x2693)+P12(x2691,f57(x2692,x2693))
% 0.91/0.98  [270]~P12(x2701,x2702)+P12(x2701,f57(x2702,x2703))
% 0.91/0.98  [277]P12(x2771,x2772)+~P12(x2771,f42(x2773,x2772))
% 0.91/0.98  [278]P12(x2781,x2782)+~P12(x2781,f42(x2782,x2783))
% 0.91/0.98  [279]P12(x2791,x2792)+~P12(x2791,f3(x2792,x2793))
% 0.91/0.98  [283]~P12(x2831,x2832)+~P12(x2831,f3(x2833,x2832))
% 0.91/0.98  [290]P8(x2901,x2902,x2903)+P12(f14(x2901,x2902,x2903),x2902)
% 0.91/0.98  [291]P8(x2911,x2912,x2913)+P12(f15(x2911,x2912,x2913),x2912)
% 0.91/0.98  [292]P8(x2921,x2922,x2923)+P12(f18(x2921,x2922,x2923),x2923)
% 0.91/0.98  [293]P15(x2931,x2932,x2933)+P12(f19(x2931,x2932,x2933),x2933)
% 0.91/0.98  [295]~P12(x2953,f43(x2951,x2952))+P12(f21(x2951,x2952,x2953),x2952)
% 0.91/0.98  [296]~P12(x2963,f41(x2961,x2962))+P12(f24(x2961,x2962,x2963),x2962)
% 0.91/0.98  [299]P3(x2991,x2992,f24(x2991,x2993,x2992))+~P12(x2992,f41(x2991,x2993))
% 0.91/0.98  [300]P3(x3001,f21(x3001,x3002,x3003),x3003)+~P12(x3003,f43(x3001,x3002))
% 0.91/0.98  [301]P8(x3011,x3012,x3013)+~E(f15(x3011,x3012,x3013),f14(x3011,x3012,x3013))
% 0.91/0.98  [309]P8(x3091,x3092,x3093)+P3(x3091,f14(x3091,x3092,x3093),f18(x3091,x3092,x3093))
% 0.91/0.98  [310]P8(x3101,x3102,x3103)+P3(x3101,f15(x3101,x3102,x3103),f18(x3101,x3102,x3103))
% 0.91/0.98  [297]P12(x2971,x2972)+~P12(x2971,f50(x2973,x2974,x2972))
% 0.91/0.98  [298]P12(x2981,x2982)+~P12(x2981,f54(x2983,x2984,x2982))
% 0.91/0.98  [331]~P12(x3314,f50(x3311,x3312,x3313))+P12(f25(x3311,x3312,x3313,x3314),x3312)
% 0.91/0.98  [332]~P12(x3324,f54(x3321,x3322,x3323))+P12(f26(x3321,x3322,x3323,x3324),x3322)
% 0.91/0.98  [333]P3(x3331,x3332,f26(x3331,x3333,x3334,x3332))+~P12(x3332,f54(x3331,x3333,x3334))
% 0.91/0.98  [334]P3(x3341,f25(x3341,x3342,x3343,x3344),x3344)+~P12(x3344,f50(x3341,x3342,x3343))
% 0.91/0.98  [335]P4(x3351,x3352,x3353,x3354)+P12(f7(x3351,x3352,x3353,x3354),x3353)
% 0.91/0.98  [336]P4(x3361,x3362,x3363,x3364)+P12(f12(x3361,x3362,x3363,x3364),x3364)
% 0.91/0.98  [337]P4(x3371,x3372,x3373,x3374)+P12(f13(x3371,x3372,x3373,x3374),x3374)
% 0.91/0.98  [338]P10(x3381,x3382,x3383,x3384)+P12(f22(x3381,x3382,x3383,x3384),x3383)
% 0.91/0.98  [339]P10(x3391,x3392,x3393,x3394)+P12(f23(x3391,x3392,x3393,x3394),x3394)
% 0.91/0.98  [340]P4(x3401,x3402,x3403,x3404)+~E(f13(x3401,x3402,x3403,x3404),f12(x3401,x3402,x3403,x3404))
% 0.91/0.98  [341]P4(x3411,x3412,x3413,x3414)+P3(x3412,f7(x3411,x3412,x3413,x3414),f13(x3411,x3412,x3413,x3414))
% 0.91/0.98  [342]P4(x3421,x3422,x3423,x3424)+P3(x3421,f7(x3421,x3422,x3423,x3424),f12(x3421,x3422,x3423,x3424))
% 0.91/0.98  [343]P1(x3431,x3432,x3433)+~P11(x3431,x3432,x3434,x3433,x3435)
% 0.91/0.98  [344]P14(x3441,x3442,x3443)+~P11(x3441,x3442,x3444,x3443,x3445)
% 0.91/0.98  [352]P9(x3521,x3522,x3523,x3524,x3525)+P12(f27(x3521,x3522,x3523,x3524,x3525),x3522)
% 0.91/0.98  [353]P9(x3531,x3532,x3533,x3534,x3535)+P12(f28(x3531,x3532,x3533,x3534,x3535),x3534)
% 0.91/0.98  [354]P9(x3541,x3542,x3543,x3544,x3545)+P12(f29(x3541,x3542,x3543,x3544,x3545),x3542)
% 0.91/0.98  [355]P9(x3551,x3552,x3553,x3554,x3555)+P12(f30(x3551,x3552,x3553,x3554,x3555),x3554)
% 0.91/0.98  [356]P5(x3561,x3562,x3563,x3564,x3565)+P12(f31(x3561,x3562,x3563,x3564,x3565),x3562)
% 0.91/0.98  [357]P5(x3571,x3572,x3573,x3574,x3575)+P12(f32(x3571,x3572,x3573,x3574,x3575),x3574)
% 0.91/0.98  [358]P5(x3581,x3582,x3583,x3584,x3585)+P12(f33(x3581,x3582,x3583,x3584,x3585),x3582)
% 0.91/0.98  [359]P5(x3591,x3592,x3593,x3594,x3595)+P12(f34(x3591,x3592,x3593,x3594,x3595),x3594)
% 0.91/0.98  [364]P9(x3641,x3642,x3643,x3644,x3645)+P3(x3643,f27(x3641,x3642,x3643,x3644,x3645),f29(x3641,x3642,x3643,x3644,x3645))
% 0.91/0.98  [365]P9(x3651,x3652,x3653,x3654,x3655)+P3(x3651,f27(x3651,x3652,x3653,x3654,x3655),f28(x3651,x3652,x3653,x3654,x3655))
% 0.91/0.98  [366]P9(x3661,x3662,x3663,x3664,x3665)+P3(x3661,f29(x3661,x3662,x3663,x3664,x3665),f30(x3661,x3662,x3663,x3664,x3665))
% 0.91/0.98  [367]P5(x3671,x3672,x3673,x3674,x3675)+P3(x3673,f31(x3671,x3672,x3673,x3674,x3675),f33(x3671,x3672,x3673,x3674,x3675))
% 0.91/0.98  [368]P5(x3681,x3682,x3683,x3684,x3685)+P3(x3681,f31(x3681,x3682,x3683,x3684,x3685),f32(x3681,x3682,x3683,x3684,x3685))
% 0.91/0.98  [369]P5(x3691,x3692,x3693,x3694,x3695)+P3(x3691,f33(x3691,x3692,x3693,x3694,x3695),f34(x3691,x3692,x3693,x3694,x3695))
% 0.91/0.98  [372]P9(x3721,x3722,x3723,x3724,x3725)+~P3(x3725,f28(x3721,x3722,x3723,x3724,x3725),f30(x3721,x3722,x3723,x3724,x3725))
% 0.91/0.98  [373]P5(x3731,x3732,x3733,x3734,x3735)+~P3(x3735,f34(x3731,x3732,x3733,x3734,x3735),f32(x3731,x3732,x3733,x3734,x3735))
% 0.91/0.98  [377]P6(x3771,x3772,x3773,x3774,x3775,x3776)+P12(f8(x3771,x3772,x3773,x3774,x3775,x3776),x3774)
% 0.91/0.98  [378]P6(x3781,x3782,x3783,x3784,x3785,x3786)+P12(f9(x3781,x3782,x3783,x3784,x3785,x3786),x3786)
% 0.91/0.98  [267]~P13(x2672,x2671)+~P13(x2671,x2672)+P2(x2671,x2672)
% 0.91/0.98  [266]~P12(x2661,x2663)+P12(x2661,x2662)+~P13(x2663,x2662)
% 0.91/0.98  [285]~P7(x2851,x2853)+P3(x2851,x2852,x2852)+~P12(x2852,x2853)
% 0.91/0.98  [302]~P8(x3021,x3022,x3023)+~P15(x3021,x3022,x3023)+P14(x3021,x3022,x3023)
% 0.91/0.98  [271]~P12(x2713,x2712)+~P12(x2711,x2713)+P12(x2711,f58(x2712))
% 0.91/0.98  [272]E(x2721,x2722)+E(x2721,x2723)+~P12(x2721,f56(x2723,x2722))
% 0.91/0.98  [273]P12(x2731,x2732)+~P12(x2732,x2733)+~P12(x2731,f55(x2733))
% 0.91/0.98  [276]~P12(x2761,x2763)+P12(x2761,x2762)+P12(x2761,f3(x2763,x2762))
% 0.91/0.98  [282]~P12(x2821,x2823)+~P12(x2821,x2822)+P12(x2821,f42(x2822,x2823))
% 0.91/0.98  [284]P12(x2841,x2842)+P12(x2841,x2843)+~P12(x2841,f57(x2843,x2842))
% 0.91/0.98  [306]P1(x3061,x3062,x3063)+P12(f44(x3061,x3062,x3063),x3062)+P12(f46(x3061,x3062,x3063),x3062)
% 0.91/0.98  [307]P1(x3071,x3072,x3073)+P12(f44(x3071,x3072,x3073),x3072)+P12(f47(x3071,x3072,x3073),x3073)
% 0.91/0.98  [308]P1(x3081,x3082,x3083)+P12(f44(x3081,x3082,x3083),x3082)+P12(f48(x3081,x3082,x3083),x3083)
% 0.91/0.98  [314]P1(x3141,x3142,x3143)+P12(f44(x3141,x3142,x3143),x3142)+~E(f48(x3141,x3142,x3143),f47(x3141,x3142,x3143))
% 0.91/0.98  [316]P1(x3161,x3162,x3163)+P3(x3161,f46(x3161,x3162,x3163),f47(x3161,x3162,x3163))+P12(f44(x3161,x3162,x3163),x3162)
% 0.91/0.98  [317]P1(x3171,x3172,x3173)+P3(x3171,f46(x3171,x3172,x3173),f48(x3171,x3172,x3173))+P12(f44(x3171,x3172,x3173),x3172)
% 0.91/0.98  [288]~P3(x2882,x2884,x2881)+~P12(x2884,x2883)+P12(x2881,f43(x2882,x2883))
% 0.91/0.98  [289]~P3(x2892,x2891,x2894)+~P12(x2894,x2893)+P12(x2891,f41(x2892,x2893))
% 0.91/0.98  [313]P15(x3131,x3132,x3133)+~P12(x3134,x3132)+~P3(x3131,x3134,f19(x3131,x3132,x3133))
% 0.91/0.98  [326]~P12(x3264,x3262)+~P1(x3261,x3262,x3263)+P12(f45(x3261,x3262,x3263,x3264),x3263)
% 0.91/0.98  [327]~P12(x3274,x3273)+~P15(x3271,x3272,x3273)+P12(f20(x3271,x3272,x3273,x3274),x3272)
% 0.91/0.98  [329]~P12(x3292,x3293)+~P1(x3291,x3293,x3294)+P3(x3291,x3292,f45(x3291,x3293,x3294,x3292))
% 0.91/0.98  [330]~P12(x3304,x3303)+~P15(x3301,x3302,x3303)+P3(x3301,f20(x3301,x3302,x3303,x3304),x3304)
% 0.91/0.98  [349]P10(x3491,x3492,x3493,x3494)+P3(x3491,f23(x3491,x3492,x3493,x3494),f22(x3491,x3492,x3493,x3494))+P3(x3492,f22(x3491,x3492,x3493,x3494),f23(x3491,x3492,x3493,x3494))
% 0.91/0.98  [351]P10(x3511,x3512,x3513,x3514)+~P3(x3511,f23(x3511,x3512,x3513,x3514),f22(x3511,x3512,x3513,x3514))+~P3(x3512,f22(x3511,x3512,x3513,x3514),f23(x3511,x3512,x3513,x3514))
% 0.91/0.98  [379]P6(x3791,x3792,x3793,x3794,x3795,x3796)+P3(x3791,f8(x3791,x3792,x3793,x3794,x3795,x3796),f9(x3791,x3792,x3793,x3794,x3795,x3796))+P12(f10(x3791,x3792,x3793,x3794,x3795,x3796),x3795)
% 0.91/0.98  [380]P6(x3801,x3802,x3803,x3804,x3805,x3806)+P3(x3801,f8(x3801,x3802,x3803,x3804,x3805,x3806),f9(x3801,x3802,x3803,x3804,x3805,x3806))+P3(x3803,f8(x3801,x3802,x3803,x3804,x3805,x3806),f10(x3801,x3802,x3803,x3804,x3805,x3806))
% 0.91/0.98  [381]P6(x3811,x3812,x3813,x3814,x3815,x3816)+P3(x3811,f8(x3811,x3812,x3813,x3814,x3815,x3816),f9(x3811,x3812,x3813,x3814,x3815,x3816))+P3(x3812,f10(x3811,x3812,x3813,x3814,x3815,x3816),f9(x3811,x3812,x3813,x3814,x3815,x3816))
% 0.91/0.98  [318]P1(x3181,x3182,x3183)+~P12(x3184,x3183)+~P3(x3181,f44(x3181,x3182,x3183),x3184)+P12(f46(x3181,x3182,x3183),x3182)
% 0.91/0.98  [319]P1(x3191,x3192,x3193)+~P12(x3194,x3193)+~P3(x3191,f44(x3191,x3192,x3193),x3194)+P12(f47(x3191,x3192,x3193),x3193)
% 0.91/0.98  [320]P1(x3201,x3202,x3203)+~P12(x3204,x3203)+~P3(x3201,f44(x3201,x3202,x3203),x3204)+P12(f48(x3201,x3202,x3203),x3203)
% 0.91/0.98  [321]P1(x3211,x3212,x3213)+~P12(x3214,x3213)+~P3(x3211,f44(x3211,x3212,x3213),x3214)+~E(f48(x3211,x3212,x3213),f47(x3211,x3212,x3213))
% 0.91/0.98  [324]P1(x3241,x3242,x3243)+~P12(x3244,x3243)+P3(x3241,f46(x3241,x3242,x3243),f47(x3241,x3242,x3243))+~P3(x3241,f44(x3241,x3242,x3243),x3244)
% 0.91/0.98  [325]P1(x3251,x3252,x3253)+~P12(x3254,x3253)+P3(x3251,f46(x3251,x3252,x3253),f48(x3251,x3252,x3253))+~P3(x3251,f44(x3251,x3252,x3253),x3254)
% 0.91/0.98  [303]~P12(x3031,x3034)+~P3(x3032,x3035,x3031)+~P12(x3035,x3033)+P12(x3031,f50(x3032,x3033,x3034))
% 0.91/0.98  [304]~P12(x3041,x3044)+~P3(x3042,x3041,x3045)+~P12(x3045,x3043)+P12(x3041,f54(x3042,x3043,x3044))
% 0.91/0.98  [305]~P12(x3054,x3053)+~P12(x3055,x3052)+~P3(x3051,x3055,x3054)+P3(f51(x3051,x3052,x3053),x3054,x3055)
% 0.91/0.98  [315]P3(x3151,x3152,x3153)+~P12(x3152,x3154)+~P12(x3153,x3155)+~P3(f51(x3151,x3154,x3155),x3153,x3152)
% 0.91/0.98  [360]~P1(x3601,x3602,x3604)+~P14(x3601,x3602,x3604)+P11(x3601,x3602,x3603,x3604,x3605)+P12(f35(x3601,x3602,x3603,x3604,x3605),x3602)
% 0.91/0.98  [361]~P1(x3611,x3612,x3614)+~P14(x3611,x3612,x3614)+P11(x3611,x3612,x3613,x3614,x3615)+P12(f36(x3611,x3612,x3613,x3614,x3615),x3614)
% 0.91/0.98  [362]~P1(x3621,x3622,x3624)+~P14(x3621,x3622,x3624)+P11(x3621,x3622,x3623,x3624,x3625)+P12(f37(x3621,x3622,x3623,x3624,x3625),x3622)
% 0.91/0.98  [363]~P1(x3631,x3632,x3634)+~P14(x3631,x3632,x3634)+P11(x3631,x3632,x3633,x3634,x3635)+P12(f38(x3631,x3632,x3633,x3634,x3635),x3634)
% 0.91/0.98  [370]~P1(x3701,x3702,x3704)+~P14(x3701,x3702,x3704)+P11(x3701,x3702,x3703,x3704,x3705)+P3(x3701,f35(x3701,x3702,x3703,x3704,x3705),f36(x3701,x3702,x3703,x3704,x3705))
% 0.91/0.98  [371]~P1(x3711,x3712,x3714)+~P14(x3711,x3712,x3714)+P11(x3711,x3712,x3713,x3714,x3715)+P3(x3711,f37(x3711,x3712,x3713,x3714,x3715),f38(x3711,x3712,x3713,x3714,x3715))
% 0.91/0.98  [382]~P12(x3827,x3825)+~P12(x3826,x3823)+~P3(f4(x3821,x3822,x3823,x3824,x3825),x3826,x3827)+P12(f11(x3821,x3822,x3823,x3824,x3825,x3826,x3827),x3824)
% 0.91/0.98  [383]~P12(x3837,x3836)+~P12(x3832,x3834)+~P3(f4(x3833,x3831,x3834,x3835,x3836),x3832,x3837)+P3(x3831,x3832,f11(x3833,x3831,x3834,x3835,x3836,x3832,x3837))
% 0.91/0.98  [384]~P12(x3847,x3845)+~P12(x3846,x3843)+~P3(f4(x3841,x3842,x3843,x3844,x3845),x3846,x3847)+P3(x3841,f11(x3841,x3842,x3843,x3844,x3845,x3846,x3847),x3847)
% 0.91/0.98  [375]~P1(x3751,x3752,x3754)+~P14(x3751,x3752,x3754)+P11(x3751,x3752,x3753,x3754,x3755)+P3(x3755,f36(x3751,x3752,x3753,x3754,x3755),f38(x3751,x3752,x3753,x3754,x3755))+P3(x3753,f35(x3751,x3752,x3753,x3754,x3755),f37(x3751,x3752,x3753,x3754,x3755))
% 0.91/0.98  [376]~P1(x3761,x3762,x3764)+~P14(x3761,x3762,x3764)+P11(x3761,x3762,x3763,x3764,x3765)+~P3(x3765,f36(x3761,x3762,x3763,x3764,x3765),f38(x3761,x3762,x3763,x3764,x3765))+~P3(x3763,f35(x3761,x3762,x3763,x3764,x3765),f37(x3761,x3762,x3763,x3764,x3765))
% 0.91/0.98  [322]~P10(x3221,x3226,x3225,x3224)+P3(x3221,x3222,x3223)+~P12(x3222,x3224)+~P3(x3226,x3223,x3222)+~P12(x3223,x3225)
% 0.91/0.98  [323]~P10(x3236,x3231,x3234,x3235)+P3(x3231,x3232,x3233)+~P12(x3232,x3234)+~P3(x3236,x3233,x3232)+~P12(x3233,x3235)
% 0.91/0.98  [385]P6(x3851,x3852,x3853,x3854,x3855,x3856)+~P12(x3857,x3855)+~P3(x3852,x3857,f9(x3851,x3852,x3853,x3854,x3855,x3856))+~P3(x3853,f8(x3851,x3852,x3853,x3854,x3855,x3856),x3857)+~P3(x3851,f8(x3851,x3852,x3853,x3854,x3855,x3856),f9(x3851,x3852,x3853,x3854,x3855,x3856))
% 0.91/0.98  [386]~P12(x3868,x3866)+~P12(x3867,x3864)+~P3(x3861,x3867,x3868)+~P6(x3861,x3862,x3863,x3864,x3865,x3866)+P12(f49(x3861,x3862,x3863,x3864,x3865,x3866,x3867,x3868),x3865)
% 0.91/0.98  [387]~P12(x3878,x3877)+~P12(x3872,x3875)+~P3(x3873,x3872,x3878)+~P6(x3873,x3874,x3871,x3875,x3876,x3877)+P3(x3871,x3872,f49(x3873,x3874,x3871,x3875,x3876,x3877,x3872,x3878))
% 0.91/0.99  [388]~P12(x3888,x3886)+~P12(x3887,x3884)+~P3(x3882,x3887,x3888)+~P6(x3882,x3881,x3883,x3884,x3885,x3886)+P3(x3881,f49(x3882,x3881,x3883,x3884,x3885,x3886,x3887,x3888),x3888)
% 0.91/0.99  [350]~P12(x3507,x3505)+~P12(x3506,x3503)+~P3(x3501,x3508,x3507)+~P3(x3502,x3506,x3508)+~P12(x3508,x3504)+P3(f4(x3501,x3502,x3503,x3504,x3505),x3506,x3507)
% 0.91/0.99  [311]~P12(x3111,x3115)+~P3(x3116,x3111,x3113)+~P8(x3116,x3115,x3114)+E(x3111,x3112)+~P12(x3113,x3114)+~P3(x3116,x3112,x3113)+~P12(x3112,x3115)
% 0.91/0.99  [312]~P12(x3121,x3123)+~P3(x3126,x3124,x3122)+~P3(x3126,x3124,x3121)+E(x3121,x3122)+~P12(x3122,x3123)+~P1(x3126,x3125,x3123)+~P12(x3124,x3125)
% 0.91/0.99  [328]~P12(x3281,x3283)+~P4(x3287,x3286,x3285,x3283)+E(x3281,x3282)+~P12(x3282,x3283)+~P3(x3286,x3284,x3282)+~P3(x3287,x3284,x3281)+~P12(x3284,x3285)
% 0.91/0.99  [374]~P6(x3741,x3748,x3749,x3745,x3747,x3744)+P3(x3741,x3742,x3743)+~P12(x3743,x3744)+~P12(x3742,x3745)+~P3(x3748,x3746,x3743)+~P3(x3749,x3742,x3746)+~P12(x3746,x3747)
% 0.91/0.99  [345]~P12(x3453,x3454)+~P3(x3459,x3457,x3453)+~P5(x3459,x3456,x3458,x3454,x3451)+P3(x3451,x3452,x3453)+~P12(x3452,x3454)+~P3(x3458,x3457,x3455)+~P3(x3459,x3455,x3452)+~P12(x3455,x3456)+~P12(x3457,x3456)
% 0.91/0.99  [346]~P12(x3462,x3464)+~P3(x3469,x3467,x3462)+~P9(x3469,x3466,x3468,x3464,x3461)+P3(x3461,x3462,x3463)+~P12(x3463,x3464)+~P3(x3468,x3467,x3465)+~P3(x3469,x3465,x3463)+~P12(x3465,x3466)+~P12(x3467,x3466)
% 0.91/0.99  [347]~P12(x3472,x3474)+~P3(x3478,x3477,x3472)+~P11(x3478,x3476,x3479,x3474,x3471)+P3(x3471,x3472,x3473)+~P12(x3473,x3474)+~P3(x3478,x3475,x3473)+~P3(x3479,x3477,x3475)+~P12(x3475,x3476)+~P12(x3477,x3476)
% 0.91/0.99  [348]~P12(x3482,x3484)+~P3(x3488,x3482,x3487)+~P11(x3488,x3484,x3481,x3486,x3489)+P3(x3481,x3482,x3483)+~P12(x3483,x3484)+~P3(x3488,x3483,x3485)+~P3(x3489,x3487,x3485)+~P12(x3485,x3486)+~P12(x3487,x3486)
% 0.91/0.99  %EqnAxiom
% 0.91/0.99  [1]E(x11,x11)
% 0.91/0.99  [2]E(x22,x21)+~E(x21,x22)
% 0.91/0.99  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.91/0.99  [4]~E(x41,x42)+E(f41(x41,x43),f41(x42,x43))
% 0.91/0.99  [5]~E(x51,x52)+E(f41(x53,x51),f41(x53,x52))
% 0.91/0.99  [6]~E(x61,x62)+E(f52(x61),f52(x62))
% 0.91/0.99  [7]~E(x71,x72)+E(f9(x71,x73,x74,x75,x76,x77),f9(x72,x73,x74,x75,x76,x77))
% 0.91/0.99  [8]~E(x81,x82)+E(f9(x83,x81,x84,x85,x86,x87),f9(x83,x82,x84,x85,x86,x87))
% 0.91/0.99  [9]~E(x91,x92)+E(f9(x93,x94,x91,x95,x96,x97),f9(x93,x94,x92,x95,x96,x97))
% 0.91/0.99  [10]~E(x101,x102)+E(f9(x103,x104,x105,x101,x106,x107),f9(x103,x104,x105,x102,x106,x107))
% 0.91/0.99  [11]~E(x111,x112)+E(f9(x113,x114,x115,x116,x111,x117),f9(x113,x114,x115,x116,x112,x117))
% 0.91/0.99  [12]~E(x121,x122)+E(f9(x123,x124,x125,x126,x127,x121),f9(x123,x124,x125,x126,x127,x122))
% 0.91/0.99  [13]~E(x131,x132)+E(f53(x131),f53(x132))
% 0.91/0.99  [14]~E(x141,x142)+E(f56(x141,x143),f56(x142,x143))
% 0.91/0.99  [15]~E(x151,x152)+E(f56(x153,x151),f56(x153,x152))
% 0.91/0.99  [16]~E(x161,x162)+E(f4(x161,x163,x164,x165,x166),f4(x162,x163,x164,x165,x166))
% 0.91/0.99  [17]~E(x171,x172)+E(f4(x173,x171,x174,x175,x176),f4(x173,x172,x174,x175,x176))
% 0.91/0.99  [18]~E(x181,x182)+E(f4(x183,x184,x181,x185,x186),f4(x183,x184,x182,x185,x186))
% 0.91/0.99  [19]~E(x191,x192)+E(f4(x193,x194,x195,x191,x196),f4(x193,x194,x195,x192,x196))
% 0.91/0.99  [20]~E(x201,x202)+E(f4(x203,x204,x205,x206,x201),f4(x203,x204,x205,x206,x202))
% 0.91/0.99  [21]~E(x211,x212)+E(f11(x211,x213,x214,x215,x216,x217,x218),f11(x212,x213,x214,x215,x216,x217,x218))
% 0.91/0.99  [22]~E(x221,x222)+E(f11(x223,x221,x224,x225,x226,x227,x228),f11(x223,x222,x224,x225,x226,x227,x228))
% 0.91/0.99  [23]~E(x231,x232)+E(f11(x233,x234,x231,x235,x236,x237,x238),f11(x233,x234,x232,x235,x236,x237,x238))
% 0.91/0.99  [24]~E(x241,x242)+E(f11(x243,x244,x245,x241,x246,x247,x248),f11(x243,x244,x245,x242,x246,x247,x248))
% 0.91/0.99  [25]~E(x251,x252)+E(f11(x253,x254,x255,x256,x251,x257,x258),f11(x253,x254,x255,x256,x252,x257,x258))
% 0.91/0.99  [26]~E(x261,x262)+E(f11(x263,x264,x265,x266,x267,x261,x268),f11(x263,x264,x265,x266,x267,x262,x268))
% 0.91/0.99  [27]~E(x271,x272)+E(f11(x273,x274,x275,x276,x277,x278,x271),f11(x273,x274,x275,x276,x277,x278,x272))
% 0.91/0.99  [28]~E(x281,x282)+E(f5(x281,x283),f5(x282,x283))
% 0.91/0.99  [29]~E(x291,x292)+E(f5(x293,x291),f5(x293,x292))
% 0.91/0.99  [30]~E(x301,x302)+E(f6(x301,x303),f6(x302,x303))
% 0.91/0.99  [31]~E(x311,x312)+E(f6(x313,x311),f6(x313,x312))
% 0.91/0.99  [32]~E(x321,x322)+E(f55(x321),f55(x322))
% 0.91/0.99  [33]~E(x331,x332)+E(f16(x331,x333),f16(x332,x333))
% 0.91/0.99  [34]~E(x341,x342)+E(f16(x343,x341),f16(x343,x342))
% 0.91/0.99  [35]~E(x351,x352)+E(f57(x351,x353),f57(x352,x353))
% 0.91/0.99  [36]~E(x361,x362)+E(f57(x363,x361),f57(x363,x362))
% 0.91/0.99  [37]~E(x371,x372)+E(f8(x371,x373,x374,x375,x376,x377),f8(x372,x373,x374,x375,x376,x377))
% 0.91/0.99  [38]~E(x381,x382)+E(f8(x383,x381,x384,x385,x386,x387),f8(x383,x382,x384,x385,x386,x387))
% 0.91/0.99  [39]~E(x391,x392)+E(f8(x393,x394,x391,x395,x396,x397),f8(x393,x394,x392,x395,x396,x397))
% 0.91/0.99  [40]~E(x401,x402)+E(f8(x403,x404,x405,x401,x406,x407),f8(x403,x404,x405,x402,x406,x407))
% 0.91/0.99  [41]~E(x411,x412)+E(f8(x413,x414,x415,x416,x411,x417),f8(x413,x414,x415,x416,x412,x417))
% 0.91/0.99  [42]~E(x421,x422)+E(f8(x423,x424,x425,x426,x427,x421),f8(x423,x424,x425,x426,x427,x422))
% 0.91/0.99  [43]~E(x431,x432)+E(f58(x431),f58(x432))
% 0.91/0.99  [44]~E(x441,x442)+E(f37(x441,x443,x444,x445,x446),f37(x442,x443,x444,x445,x446))
% 0.91/0.99  [45]~E(x451,x452)+E(f37(x453,x451,x454,x455,x456),f37(x453,x452,x454,x455,x456))
% 0.91/0.99  [46]~E(x461,x462)+E(f37(x463,x464,x461,x465,x466),f37(x463,x464,x462,x465,x466))
% 0.91/0.99  [47]~E(x471,x472)+E(f37(x473,x474,x475,x471,x476),f37(x473,x474,x475,x472,x476))
% 0.91/0.99  [48]~E(x481,x482)+E(f37(x483,x484,x485,x486,x481),f37(x483,x484,x485,x486,x482))
% 0.91/0.99  [49]~E(x491,x492)+E(f35(x491,x493,x494,x495,x496),f35(x492,x493,x494,x495,x496))
% 0.91/0.99  [50]~E(x501,x502)+E(f35(x503,x501,x504,x505,x506),f35(x503,x502,x504,x505,x506))
% 0.91/0.99  [51]~E(x511,x512)+E(f35(x513,x514,x511,x515,x516),f35(x513,x514,x512,x515,x516))
% 0.91/0.99  [52]~E(x521,x522)+E(f35(x523,x524,x525,x521,x526),f35(x523,x524,x525,x522,x526))
% 0.91/0.99  [53]~E(x531,x532)+E(f35(x533,x534,x535,x536,x531),f35(x533,x534,x535,x536,x532))
% 0.91/0.99  [54]~E(x541,x542)+E(f17(x541,x543),f17(x542,x543))
% 0.91/0.99  [55]~E(x551,x552)+E(f17(x553,x551),f17(x553,x552))
% 0.91/0.99  [56]~E(x561,x562)+E(f38(x561,x563,x564,x565,x566),f38(x562,x563,x564,x565,x566))
% 0.91/0.99  [57]~E(x571,x572)+E(f38(x573,x571,x574,x575,x576),f38(x573,x572,x574,x575,x576))
% 0.91/0.99  [58]~E(x581,x582)+E(f38(x583,x584,x581,x585,x586),f38(x583,x584,x582,x585,x586))
% 0.91/0.99  [59]~E(x591,x592)+E(f38(x593,x594,x595,x591,x596),f38(x593,x594,x595,x592,x596))
% 0.91/0.99  [60]~E(x601,x602)+E(f38(x603,x604,x605,x606,x601),f38(x603,x604,x605,x606,x602))
% 0.91/0.99  [61]~E(x611,x612)+E(f36(x611,x613,x614,x615,x616),f36(x612,x613,x614,x615,x616))
% 0.91/0.99  [62]~E(x621,x622)+E(f36(x623,x621,x624,x625,x626),f36(x623,x622,x624,x625,x626))
% 0.91/0.99  [63]~E(x631,x632)+E(f36(x633,x634,x631,x635,x636),f36(x633,x634,x632,x635,x636))
% 0.91/0.99  [64]~E(x641,x642)+E(f36(x643,x644,x645,x641,x646),f36(x643,x644,x645,x642,x646))
% 0.91/0.99  [65]~E(x651,x652)+E(f36(x653,x654,x655,x656,x651),f36(x653,x654,x655,x656,x652))
% 0.91/0.99  [66]~E(x661,x662)+E(f32(x661,x663,x664,x665,x666),f32(x662,x663,x664,x665,x666))
% 0.91/0.99  [67]~E(x671,x672)+E(f32(x673,x671,x674,x675,x676),f32(x673,x672,x674,x675,x676))
% 0.91/0.99  [68]~E(x681,x682)+E(f32(x683,x684,x681,x685,x686),f32(x683,x684,x682,x685,x686))
% 0.91/0.99  [69]~E(x691,x692)+E(f32(x693,x694,x695,x691,x696),f32(x693,x694,x695,x692,x696))
% 0.91/0.99  [70]~E(x701,x702)+E(f32(x703,x704,x705,x706,x701),f32(x703,x704,x705,x706,x702))
% 0.91/0.99  [71]~E(x711,x712)+E(f3(x711,x713),f3(x712,x713))
% 0.91/0.99  [72]~E(x721,x722)+E(f3(x723,x721),f3(x723,x722))
% 0.91/0.99  [73]~E(x731,x732)+E(f42(x731,x733),f42(x732,x733))
% 0.91/0.99  [74]~E(x741,x742)+E(f42(x743,x741),f42(x743,x742))
% 0.91/0.99  [75]~E(x751,x752)+E(f27(x751,x753,x754,x755,x756),f27(x752,x753,x754,x755,x756))
% 0.91/0.99  [76]~E(x761,x762)+E(f27(x763,x761,x764,x765,x766),f27(x763,x762,x764,x765,x766))
% 0.91/0.99  [77]~E(x771,x772)+E(f27(x773,x774,x771,x775,x776),f27(x773,x774,x772,x775,x776))
% 0.91/0.99  [78]~E(x781,x782)+E(f27(x783,x784,x785,x781,x786),f27(x783,x784,x785,x782,x786))
% 0.91/0.99  [79]~E(x791,x792)+E(f27(x793,x794,x795,x796,x791),f27(x793,x794,x795,x796,x792))
% 0.91/0.99  [80]~E(x801,x802)+E(f29(x801,x803,x804,x805,x806),f29(x802,x803,x804,x805,x806))
% 0.91/0.99  [81]~E(x811,x812)+E(f29(x813,x811,x814,x815,x816),f29(x813,x812,x814,x815,x816))
% 0.91/0.99  [82]~E(x821,x822)+E(f29(x823,x824,x821,x825,x826),f29(x823,x824,x822,x825,x826))
% 0.91/0.99  [83]~E(x831,x832)+E(f29(x833,x834,x835,x831,x836),f29(x833,x834,x835,x832,x836))
% 0.91/0.99  [84]~E(x841,x842)+E(f29(x843,x844,x845,x846,x841),f29(x843,x844,x845,x846,x842))
% 0.91/0.99  [85]~E(x851,x852)+E(f30(x851,x853,x854,x855,x856),f30(x852,x853,x854,x855,x856))
% 0.91/0.99  [86]~E(x861,x862)+E(f30(x863,x861,x864,x865,x866),f30(x863,x862,x864,x865,x866))
% 0.91/0.99  [87]~E(x871,x872)+E(f30(x873,x874,x871,x875,x876),f30(x873,x874,x872,x875,x876))
% 0.91/0.99  [88]~E(x881,x882)+E(f30(x883,x884,x885,x881,x886),f30(x883,x884,x885,x882,x886))
% 0.91/0.99  [89]~E(x891,x892)+E(f30(x893,x894,x895,x896,x891),f30(x893,x894,x895,x896,x892))
% 0.91/0.99  [90]~E(x901,x902)+E(f31(x901,x903,x904,x905,x906),f31(x902,x903,x904,x905,x906))
% 0.91/0.99  [91]~E(x911,x912)+E(f31(x913,x911,x914,x915,x916),f31(x913,x912,x914,x915,x916))
% 0.91/0.99  [92]~E(x921,x922)+E(f31(x923,x924,x921,x925,x926),f31(x923,x924,x922,x925,x926))
% 0.91/0.99  [93]~E(x931,x932)+E(f31(x933,x934,x935,x931,x936),f31(x933,x934,x935,x932,x936))
% 0.91/0.99  [94]~E(x941,x942)+E(f31(x943,x944,x945,x946,x941),f31(x943,x944,x945,x946,x942))
% 0.91/0.99  [95]~E(x951,x952)+E(f10(x951,x953,x954,x955,x956,x957),f10(x952,x953,x954,x955,x956,x957))
% 0.91/0.99  [96]~E(x961,x962)+E(f10(x963,x961,x964,x965,x966,x967),f10(x963,x962,x964,x965,x966,x967))
% 0.91/0.99  [97]~E(x971,x972)+E(f10(x973,x974,x971,x975,x976,x977),f10(x973,x974,x972,x975,x976,x977))
% 0.91/0.99  [98]~E(x981,x982)+E(f10(x983,x984,x985,x981,x986,x987),f10(x983,x984,x985,x982,x986,x987))
% 0.91/0.99  [99]~E(x991,x992)+E(f10(x993,x994,x995,x996,x991,x997),f10(x993,x994,x995,x996,x992,x997))
% 0.91/0.99  [100]~E(x1001,x1002)+E(f10(x1003,x1004,x1005,x1006,x1007,x1001),f10(x1003,x1004,x1005,x1006,x1007,x1002))
% 0.91/0.99  [101]~E(x1011,x1012)+E(f34(x1011,x1013,x1014,x1015,x1016),f34(x1012,x1013,x1014,x1015,x1016))
% 0.91/0.99  [102]~E(x1021,x1022)+E(f34(x1023,x1021,x1024,x1025,x1026),f34(x1023,x1022,x1024,x1025,x1026))
% 0.91/0.99  [103]~E(x1031,x1032)+E(f34(x1033,x1034,x1031,x1035,x1036),f34(x1033,x1034,x1032,x1035,x1036))
% 0.91/0.99  [104]~E(x1041,x1042)+E(f34(x1043,x1044,x1045,x1041,x1046),f34(x1043,x1044,x1045,x1042,x1046))
% 0.91/0.99  [105]~E(x1051,x1052)+E(f34(x1053,x1054,x1055,x1056,x1051),f34(x1053,x1054,x1055,x1056,x1052))
% 0.91/0.99  [106]~E(x1061,x1062)+E(f28(x1061,x1063,x1064,x1065,x1066),f28(x1062,x1063,x1064,x1065,x1066))
% 0.91/0.99  [107]~E(x1071,x1072)+E(f28(x1073,x1071,x1074,x1075,x1076),f28(x1073,x1072,x1074,x1075,x1076))
% 0.91/0.99  [108]~E(x1081,x1082)+E(f28(x1083,x1084,x1081,x1085,x1086),f28(x1083,x1084,x1082,x1085,x1086))
% 0.91/0.99  [109]~E(x1091,x1092)+E(f28(x1093,x1094,x1095,x1091,x1096),f28(x1093,x1094,x1095,x1092,x1096))
% 0.91/0.99  [110]~E(x1101,x1102)+E(f28(x1103,x1104,x1105,x1106,x1101),f28(x1103,x1104,x1105,x1106,x1102))
% 0.91/0.99  [111]~E(x1111,x1112)+E(f33(x1111,x1113,x1114,x1115,x1116),f33(x1112,x1113,x1114,x1115,x1116))
% 0.91/0.99  [112]~E(x1121,x1122)+E(f33(x1123,x1121,x1124,x1125,x1126),f33(x1123,x1122,x1124,x1125,x1126))
% 0.91/0.99  [113]~E(x1131,x1132)+E(f33(x1133,x1134,x1131,x1135,x1136),f33(x1133,x1134,x1132,x1135,x1136))
% 0.91/0.99  [114]~E(x1141,x1142)+E(f33(x1143,x1144,x1145,x1141,x1146),f33(x1143,x1144,x1145,x1142,x1146))
% 0.91/0.99  [115]~E(x1151,x1152)+E(f33(x1153,x1154,x1155,x1156,x1151),f33(x1153,x1154,x1155,x1156,x1152))
% 0.91/0.99  [116]~E(x1161,x1162)+E(f43(x1161,x1163),f43(x1162,x1163))
% 0.91/0.99  [117]~E(x1171,x1172)+E(f43(x1173,x1171),f43(x1173,x1172))
% 0.91/0.99  [118]~E(x1181,x1182)+E(f49(x1181,x1183,x1184,x1185,x1186,x1187,x1188,x1189),f49(x1182,x1183,x1184,x1185,x1186,x1187,x1188,x1189))
% 0.91/0.99  [119]~E(x1191,x1192)+E(f49(x1193,x1191,x1194,x1195,x1196,x1197,x1198,x1199),f49(x1193,x1192,x1194,x1195,x1196,x1197,x1198,x1199))
% 0.91/0.99  [120]~E(x1201,x1202)+E(f49(x1203,x1204,x1201,x1205,x1206,x1207,x1208,x1209),f49(x1203,x1204,x1202,x1205,x1206,x1207,x1208,x1209))
% 0.91/0.99  [121]~E(x1211,x1212)+E(f49(x1213,x1214,x1215,x1211,x1216,x1217,x1218,x1219),f49(x1213,x1214,x1215,x1212,x1216,x1217,x1218,x1219))
% 0.91/0.99  [122]~E(x1221,x1222)+E(f49(x1223,x1224,x1225,x1226,x1221,x1227,x1228,x1229),f49(x1223,x1224,x1225,x1226,x1222,x1227,x1228,x1229))
% 0.91/0.99  [123]~E(x1231,x1232)+E(f49(x1233,x1234,x1235,x1236,x1237,x1231,x1238,x1239),f49(x1233,x1234,x1235,x1236,x1237,x1232,x1238,x1239))
% 0.91/0.99  [124]~E(x1241,x1242)+E(f49(x1243,x1244,x1245,x1246,x1247,x1248,x1241,x1249),f49(x1243,x1244,x1245,x1246,x1247,x1248,x1242,x1249))
% 0.91/0.99  [125]~E(x1251,x1252)+E(f49(x1253,x1254,x1255,x1256,x1257,x1258,x1259,x1251),f49(x1253,x1254,x1255,x1256,x1257,x1258,x1259,x1252))
% 0.91/0.99  [126]~E(x1261,x1262)+E(f14(x1261,x1263,x1264),f14(x1262,x1263,x1264))
% 0.91/0.99  [127]~E(x1271,x1272)+E(f14(x1273,x1271,x1274),f14(x1273,x1272,x1274))
% 0.91/0.99  [128]~E(x1281,x1282)+E(f14(x1283,x1284,x1281),f14(x1283,x1284,x1282))
% 0.91/0.99  [129]~E(x1291,x1292)+E(f15(x1291,x1293,x1294),f15(x1292,x1293,x1294))
% 0.91/0.99  [130]~E(x1301,x1302)+E(f15(x1303,x1301,x1304),f15(x1303,x1302,x1304))
% 0.91/0.99  [131]~E(x1311,x1312)+E(f15(x1313,x1314,x1311),f15(x1313,x1314,x1312))
% 0.91/0.99  [132]~E(x1321,x1322)+E(f18(x1321,x1323,x1324),f18(x1322,x1323,x1324))
% 0.91/0.99  [133]~E(x1331,x1332)+E(f18(x1333,x1331,x1334),f18(x1333,x1332,x1334))
% 0.91/0.99  [134]~E(x1341,x1342)+E(f18(x1343,x1344,x1341),f18(x1343,x1344,x1342))
% 0.91/0.99  [135]~E(x1351,x1352)+E(f19(x1351,x1353,x1354),f19(x1352,x1353,x1354))
% 0.91/0.99  [136]~E(x1361,x1362)+E(f19(x1363,x1361,x1364),f19(x1363,x1362,x1364))
% 0.91/0.99  [137]~E(x1371,x1372)+E(f19(x1373,x1374,x1371),f19(x1373,x1374,x1372))
% 0.91/0.99  [138]~E(x1381,x1382)+E(f22(x1381,x1383,x1384,x1385),f22(x1382,x1383,x1384,x1385))
% 0.91/0.99  [139]~E(x1391,x1392)+E(f22(x1393,x1391,x1394,x1395),f22(x1393,x1392,x1394,x1395))
% 0.91/0.99  [140]~E(x1401,x1402)+E(f22(x1403,x1404,x1401,x1405),f22(x1403,x1404,x1402,x1405))
% 0.91/0.99  [141]~E(x1411,x1412)+E(f22(x1413,x1414,x1415,x1411),f22(x1413,x1414,x1415,x1412))
% 0.91/0.99  [142]~E(x1421,x1422)+E(f13(x1421,x1423,x1424,x1425),f13(x1422,x1423,x1424,x1425))
% 0.91/0.99  [143]~E(x1431,x1432)+E(f13(x1433,x1431,x1434,x1435),f13(x1433,x1432,x1434,x1435))
% 0.91/0.99  [144]~E(x1441,x1442)+E(f13(x1443,x1444,x1441,x1445),f13(x1443,x1444,x1442,x1445))
% 0.91/0.99  [145]~E(x1451,x1452)+E(f13(x1453,x1454,x1455,x1451),f13(x1453,x1454,x1455,x1452))
% 0.91/0.99  [146]~E(x1461,x1462)+E(f21(x1461,x1463,x1464),f21(x1462,x1463,x1464))
% 0.91/0.99  [147]~E(x1471,x1472)+E(f21(x1473,x1471,x1474),f21(x1473,x1472,x1474))
% 0.91/0.99  [148]~E(x1481,x1482)+E(f21(x1483,x1484,x1481),f21(x1483,x1484,x1482))
% 0.91/0.99  [149]~E(x1491,x1492)+E(f23(x1491,x1493,x1494,x1495),f23(x1492,x1493,x1494,x1495))
% 0.91/0.99  [150]~E(x1501,x1502)+E(f23(x1503,x1501,x1504,x1505),f23(x1503,x1502,x1504,x1505))
% 0.91/0.99  [151]~E(x1511,x1512)+E(f23(x1513,x1514,x1511,x1515),f23(x1513,x1514,x1512,x1515))
% 0.91/0.99  [152]~E(x1521,x1522)+E(f23(x1523,x1524,x1525,x1521),f23(x1523,x1524,x1525,x1522))
% 0.91/0.99  [153]~E(x1531,x1532)+E(f24(x1531,x1533,x1534),f24(x1532,x1533,x1534))
% 0.91/0.99  [154]~E(x1541,x1542)+E(f24(x1543,x1541,x1544),f24(x1543,x1542,x1544))
% 0.91/0.99  [155]~E(x1551,x1552)+E(f24(x1553,x1554,x1551),f24(x1553,x1554,x1552))
% 0.91/0.99  [156]~E(x1561,x1562)+E(f25(x1561,x1563,x1564,x1565),f25(x1562,x1563,x1564,x1565))
% 0.91/0.99  [157]~E(x1571,x1572)+E(f25(x1573,x1571,x1574,x1575),f25(x1573,x1572,x1574,x1575))
% 0.91/0.99  [158]~E(x1581,x1582)+E(f25(x1583,x1584,x1581,x1585),f25(x1583,x1584,x1582,x1585))
% 0.91/0.99  [159]~E(x1591,x1592)+E(f25(x1593,x1594,x1595,x1591),f25(x1593,x1594,x1595,x1592))
% 0.91/0.99  [160]~E(x1601,x1602)+E(f50(x1601,x1603,x1604),f50(x1602,x1603,x1604))
% 0.91/0.99  [161]~E(x1611,x1612)+E(f50(x1613,x1611,x1614),f50(x1613,x1612,x1614))
% 0.91/0.99  [162]~E(x1621,x1622)+E(f50(x1623,x1624,x1621),f50(x1623,x1624,x1622))
% 0.91/0.99  [163]~E(x1631,x1632)+E(f54(x1631,x1633,x1634),f54(x1632,x1633,x1634))
% 0.91/0.99  [164]~E(x1641,x1642)+E(f54(x1643,x1641,x1644),f54(x1643,x1642,x1644))
% 0.91/0.99  [165]~E(x1651,x1652)+E(f54(x1653,x1654,x1651),f54(x1653,x1654,x1652))
% 0.91/0.99  [166]~E(x1661,x1662)+E(f26(x1661,x1663,x1664,x1665),f26(x1662,x1663,x1664,x1665))
% 0.91/0.99  [167]~E(x1671,x1672)+E(f26(x1673,x1671,x1674,x1675),f26(x1673,x1672,x1674,x1675))
% 0.91/0.99  [168]~E(x1681,x1682)+E(f26(x1683,x1684,x1681,x1685),f26(x1683,x1684,x1682,x1685))
% 0.91/0.99  [169]~E(x1691,x1692)+E(f26(x1693,x1694,x1695,x1691),f26(x1693,x1694,x1695,x1692))
% 0.91/0.99  [170]~E(x1701,x1702)+E(f20(x1701,x1703,x1704,x1705),f20(x1702,x1703,x1704,x1705))
% 0.91/0.99  [171]~E(x1711,x1712)+E(f20(x1713,x1711,x1714,x1715),f20(x1713,x1712,x1714,x1715))
% 0.91/0.99  [172]~E(x1721,x1722)+E(f20(x1723,x1724,x1721,x1725),f20(x1723,x1724,x1722,x1725))
% 0.91/0.99  [173]~E(x1731,x1732)+E(f20(x1733,x1734,x1735,x1731),f20(x1733,x1734,x1735,x1732))
% 0.91/0.99  [174]~E(x1741,x1742)+E(f46(x1741,x1743,x1744),f46(x1742,x1743,x1744))
% 0.91/0.99  [175]~E(x1751,x1752)+E(f46(x1753,x1751,x1754),f46(x1753,x1752,x1754))
% 0.91/0.99  [176]~E(x1761,x1762)+E(f46(x1763,x1764,x1761),f46(x1763,x1764,x1762))
% 0.91/0.99  [177]~E(x1771,x1772)+E(f48(x1771,x1773,x1774),f48(x1772,x1773,x1774))
% 0.91/0.99  [178]~E(x1781,x1782)+E(f48(x1783,x1781,x1784),f48(x1783,x1782,x1784))
% 0.91/0.99  [179]~E(x1791,x1792)+E(f48(x1793,x1794,x1791),f48(x1793,x1794,x1792))
% 0.91/0.99  [180]~E(x1801,x1802)+E(f12(x1801,x1803,x1804,x1805),f12(x1802,x1803,x1804,x1805))
% 0.91/0.99  [181]~E(x1811,x1812)+E(f12(x1813,x1811,x1814,x1815),f12(x1813,x1812,x1814,x1815))
% 0.91/0.99  [182]~E(x1821,x1822)+E(f12(x1823,x1824,x1821,x1825),f12(x1823,x1824,x1822,x1825))
% 0.91/0.99  [183]~E(x1831,x1832)+E(f12(x1833,x1834,x1835,x1831),f12(x1833,x1834,x1835,x1832))
% 0.91/0.99  [184]~E(x1841,x1842)+E(f44(x1841,x1843,x1844),f44(x1842,x1843,x1844))
% 0.91/0.99  [185]~E(x1851,x1852)+E(f44(x1853,x1851,x1854),f44(x1853,x1852,x1854))
% 0.91/0.99  [186]~E(x1861,x1862)+E(f44(x1863,x1864,x1861),f44(x1863,x1864,x1862))
% 0.91/0.99  [187]~E(x1871,x1872)+E(f45(x1871,x1873,x1874,x1875),f45(x1872,x1873,x1874,x1875))
% 0.91/0.99  [188]~E(x1881,x1882)+E(f45(x1883,x1881,x1884,x1885),f45(x1883,x1882,x1884,x1885))
% 0.91/0.99  [189]~E(x1891,x1892)+E(f45(x1893,x1894,x1891,x1895),f45(x1893,x1894,x1892,x1895))
% 0.91/0.99  [190]~E(x1901,x1902)+E(f45(x1903,x1904,x1905,x1901),f45(x1903,x1904,x1905,x1902))
% 0.91/0.99  [191]~E(x1911,x1912)+E(f7(x1911,x1913,x1914,x1915),f7(x1912,x1913,x1914,x1915))
% 0.91/0.99  [192]~E(x1921,x1922)+E(f7(x1923,x1921,x1924,x1925),f7(x1923,x1922,x1924,x1925))
% 0.91/0.99  [193]~E(x1931,x1932)+E(f7(x1933,x1934,x1931,x1935),f7(x1933,x1934,x1932,x1935))
% 0.91/0.99  [194]~E(x1941,x1942)+E(f7(x1943,x1944,x1945,x1941),f7(x1943,x1944,x1945,x1942))
% 0.91/0.99  [195]~E(x1951,x1952)+E(f51(x1951,x1953,x1954),f51(x1952,x1953,x1954))
% 0.91/0.99  [196]~E(x1961,x1962)+E(f51(x1963,x1961,x1964),f51(x1963,x1962,x1964))
% 0.91/0.99  [197]~E(x1971,x1972)+E(f51(x1973,x1974,x1971),f51(x1973,x1974,x1972))
% 0.91/0.99  [198]~E(x1981,x1982)+E(f47(x1981,x1983,x1984),f47(x1982,x1983,x1984))
% 0.91/0.99  [199]~E(x1991,x1992)+E(f47(x1993,x1991,x1994),f47(x1993,x1992,x1994))
% 0.91/0.99  [200]~E(x2001,x2002)+E(f47(x2003,x2004,x2001),f47(x2003,x2004,x2002))
% 0.91/0.99  [201]P1(x2012,x2013,x2014)+~E(x2011,x2012)+~P1(x2011,x2013,x2014)
% 0.91/0.99  [202]P1(x2023,x2022,x2024)+~E(x2021,x2022)+~P1(x2023,x2021,x2024)
% 0.91/0.99  [203]P1(x2033,x2034,x2032)+~E(x2031,x2032)+~P1(x2033,x2034,x2031)
% 0.91/0.99  [204]P12(x2042,x2043)+~E(x2041,x2042)+~P12(x2041,x2043)
% 0.91/0.99  [205]P12(x2053,x2052)+~E(x2051,x2052)+~P12(x2053,x2051)
% 0.91/0.99  [206]P2(x2062,x2063)+~E(x2061,x2062)+~P2(x2061,x2063)
% 0.91/0.99  [207]P2(x2073,x2072)+~E(x2071,x2072)+~P2(x2073,x2071)
% 0.91/0.99  [208]P3(x2082,x2083,x2084)+~E(x2081,x2082)+~P3(x2081,x2083,x2084)
% 0.91/0.99  [209]P3(x2093,x2092,x2094)+~E(x2091,x2092)+~P3(x2093,x2091,x2094)
% 0.91/0.99  [210]P3(x2103,x2104,x2102)+~E(x2101,x2102)+~P3(x2103,x2104,x2101)
% 0.91/0.99  [211]P15(x2112,x2113,x2114)+~E(x2111,x2112)+~P15(x2111,x2113,x2114)
% 0.91/0.99  [212]P15(x2123,x2122,x2124)+~E(x2121,x2122)+~P15(x2123,x2121,x2124)
% 0.91/0.99  [213]P15(x2133,x2134,x2132)+~E(x2131,x2132)+~P15(x2133,x2134,x2131)
% 0.91/0.99  [214]P13(x2142,x2143)+~E(x2141,x2142)+~P13(x2141,x2143)
% 0.91/0.99  [215]P13(x2153,x2152)+~E(x2151,x2152)+~P13(x2153,x2151)
% 0.91/0.99  [216]P9(x2162,x2163,x2164,x2165,x2166)+~E(x2161,x2162)+~P9(x2161,x2163,x2164,x2165,x2166)
% 0.91/0.99  [217]P9(x2173,x2172,x2174,x2175,x2176)+~E(x2171,x2172)+~P9(x2173,x2171,x2174,x2175,x2176)
% 0.91/0.99  [218]P9(x2183,x2184,x2182,x2185,x2186)+~E(x2181,x2182)+~P9(x2183,x2184,x2181,x2185,x2186)
% 0.91/0.99  [219]P9(x2193,x2194,x2195,x2192,x2196)+~E(x2191,x2192)+~P9(x2193,x2194,x2195,x2191,x2196)
% 0.91/0.99  [220]P9(x2203,x2204,x2205,x2206,x2202)+~E(x2201,x2202)+~P9(x2203,x2204,x2205,x2206,x2201)
% 0.91/0.99  [221]P5(x2212,x2213,x2214,x2215,x2216)+~E(x2211,x2212)+~P5(x2211,x2213,x2214,x2215,x2216)
% 0.91/0.99  [222]P5(x2223,x2222,x2224,x2225,x2226)+~E(x2221,x2222)+~P5(x2223,x2221,x2224,x2225,x2226)
% 0.91/0.99  [223]P5(x2233,x2234,x2232,x2235,x2236)+~E(x2231,x2232)+~P5(x2233,x2234,x2231,x2235,x2236)
% 0.91/0.99  [224]P5(x2243,x2244,x2245,x2242,x2246)+~E(x2241,x2242)+~P5(x2243,x2244,x2245,x2241,x2246)
% 0.91/0.99  [225]P5(x2253,x2254,x2255,x2256,x2252)+~E(x2251,x2252)+~P5(x2253,x2254,x2255,x2256,x2251)
% 0.91/0.99  [226]P4(x2262,x2263,x2264,x2265)+~E(x2261,x2262)+~P4(x2261,x2263,x2264,x2265)
% 0.91/0.99  [227]P4(x2273,x2272,x2274,x2275)+~E(x2271,x2272)+~P4(x2273,x2271,x2274,x2275)
% 0.91/0.99  [228]P4(x2283,x2284,x2282,x2285)+~E(x2281,x2282)+~P4(x2283,x2284,x2281,x2285)
% 0.91/0.99  [229]P4(x2293,x2294,x2295,x2292)+~E(x2291,x2292)+~P4(x2293,x2294,x2295,x2291)
% 0.91/0.99  [230]P8(x2302,x2303,x2304)+~E(x2301,x2302)+~P8(x2301,x2303,x2304)
% 0.91/0.99  [231]P8(x2313,x2312,x2314)+~E(x2311,x2312)+~P8(x2313,x2311,x2314)
% 0.91/0.99  [232]P8(x2323,x2324,x2322)+~E(x2321,x2322)+~P8(x2323,x2324,x2321)
% 0.91/0.99  [233]P11(x2332,x2333,x2334,x2335,x2336)+~E(x2331,x2332)+~P11(x2331,x2333,x2334,x2335,x2336)
% 0.91/0.99  [234]P11(x2343,x2342,x2344,x2345,x2346)+~E(x2341,x2342)+~P11(x2343,x2341,x2344,x2345,x2346)
% 0.91/0.99  [235]P11(x2353,x2354,x2352,x2355,x2356)+~E(x2351,x2352)+~P11(x2353,x2354,x2351,x2355,x2356)
% 0.91/0.99  [236]P11(x2363,x2364,x2365,x2362,x2366)+~E(x2361,x2362)+~P11(x2363,x2364,x2365,x2361,x2366)
% 0.91/0.99  [237]P11(x2373,x2374,x2375,x2376,x2372)+~E(x2371,x2372)+~P11(x2373,x2374,x2375,x2376,x2371)
% 0.91/0.99  [238]P7(x2382,x2383)+~E(x2381,x2382)+~P7(x2381,x2383)
% 0.91/0.99  [239]P7(x2393,x2392)+~E(x2391,x2392)+~P7(x2393,x2391)
% 0.91/0.99  [240]P10(x2402,x2403,x2404,x2405)+~E(x2401,x2402)+~P10(x2401,x2403,x2404,x2405)
% 0.91/0.99  [241]P10(x2413,x2412,x2414,x2415)+~E(x2411,x2412)+~P10(x2413,x2411,x2414,x2415)
% 0.91/0.99  [242]P10(x2423,x2424,x2422,x2425)+~E(x2421,x2422)+~P10(x2423,x2424,x2421,x2425)
% 0.91/0.99  [243]P10(x2433,x2434,x2435,x2432)+~E(x2431,x2432)+~P10(x2433,x2434,x2435,x2431)
% 0.91/0.99  [244]P14(x2442,x2443,x2444)+~E(x2441,x2442)+~P14(x2441,x2443,x2444)
% 0.91/0.99  [245]P14(x2453,x2452,x2454)+~E(x2451,x2452)+~P14(x2453,x2451,x2454)
% 0.91/0.99  [246]P14(x2463,x2464,x2462)+~E(x2461,x2462)+~P14(x2463,x2464,x2461)
% 0.91/0.99  [247]P6(x2472,x2473,x2474,x2475,x2476,x2477)+~E(x2471,x2472)+~P6(x2471,x2473,x2474,x2475,x2476,x2477)
% 0.91/0.99  [248]P6(x2483,x2482,x2484,x2485,x2486,x2487)+~E(x2481,x2482)+~P6(x2483,x2481,x2484,x2485,x2486,x2487)
% 0.91/0.99  [249]P6(x2493,x2494,x2492,x2495,x2496,x2497)+~E(x2491,x2492)+~P6(x2493,x2494,x2491,x2495,x2496,x2497)
% 0.91/0.99  [250]P6(x2503,x2504,x2505,x2502,x2506,x2507)+~E(x2501,x2502)+~P6(x2503,x2504,x2505,x2501,x2506,x2507)
% 0.91/0.99  [251]P6(x2513,x2514,x2515,x2516,x2512,x2517)+~E(x2511,x2512)+~P6(x2513,x2514,x2515,x2516,x2511,x2517)
% 0.91/0.99  [252]P6(x2523,x2524,x2525,x2526,x2527,x2522)+~E(x2521,x2522)+~P6(x2523,x2524,x2525,x2526,x2527,x2521)
% 0.91/0.99  
% 0.91/0.99  %-------------------------------------------
% 0.91/1.00  cnf(390,plain,
% 0.91/1.00     (~P12(x3901,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(391,plain,
% 0.91/1.00     (P13(a2,x3911)),
% 0.91/1.00     inference(scs_inference,[],[254,390,265,264])).
% 0.91/1.00  cnf(392,plain,
% 0.91/1.00     (~P12(x3921,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(395,plain,
% 0.91/1.00     (~P12(x3951,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(398,plain,
% 0.91/1.00     (~P12(x3981,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(401,plain,
% 0.91/1.00     (~P12(x4011,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(404,plain,
% 0.91/1.00     (~P12(x4041,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(407,plain,
% 0.91/1.00     (~P12(x4071,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(410,plain,
% 0.91/1.00     (~P12(x4101,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(413,plain,
% 0.91/1.00     (~P12(x4131,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(418,plain,
% 0.91/1.00     (~P12(x4181,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(421,plain,
% 0.91/1.00     (~P12(x4211,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(424,plain,
% 0.91/1.00     (~P12(x4241,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(427,plain,
% 0.91/1.00     (~P12(x4271,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(430,plain,
% 0.91/1.00     (~P12(x4301,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(432,plain,
% 0.91/1.00     (~P12(x4321,f41(x4322,a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296])).
% 0.91/1.00  cnf(433,plain,
% 0.91/1.00     (~P12(x4331,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(436,plain,
% 0.91/1.00     (~P12(x4361,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(439,plain,
% 0.91/1.00     (~P12(x4391,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(442,plain,
% 0.91/1.00     (~P12(x4421,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(444,plain,
% 0.91/1.00     (~P12(x4441,f54(x4442,a2,x4443))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332])).
% 0.91/1.00  cnf(445,plain,
% 0.91/1.00     (~P12(x4451,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(447,plain,
% 0.91/1.00     (~P12(x4471,f50(x4472,a2,x4473))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331])).
% 0.91/1.00  cnf(448,plain,
% 0.91/1.00     (~P12(x4481,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(450,plain,
% 0.91/1.00     (P14(x4501,x4502,a2)),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302])).
% 0.91/1.00  cnf(455,plain,
% 0.91/1.00     (~P12(x4551,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(458,plain,
% 0.91/1.00     (~P12(x4581,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(460,plain,
% 0.91/1.00     (~P12(x4601,f54(x4602,x4603,a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298])).
% 0.91/1.00  cnf(462,plain,
% 0.91/1.00     (~P12(x4621,f50(x4622,x4623,a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297])).
% 0.91/1.00  cnf(464,plain,
% 0.91/1.00     (~P12(x4641,f3(a2,x4642))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279])).
% 0.91/1.00  cnf(470,plain,
% 0.91/1.00     (P12(a2,f53(a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260])).
% 0.91/1.00  cnf(472,plain,
% 0.91/1.00     (P12(x4721,f55(a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268])).
% 0.91/1.00  cnf(473,plain,
% 0.91/1.00     (~P12(x4731,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(476,plain,
% 0.91/1.00     (~E(a2,f41(a1,a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206])).
% 0.91/1.00  cnf(477,plain,
% 0.91/1.00     (~E(f53(a2),a2)),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,473,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206,205])).
% 0.91/1.00  cnf(478,plain,
% 0.91/1.00     (~P12(x4781,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(479,plain,
% 0.91/1.00     (~P13(f53(a2),a2)),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,473,478,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206,205,266])).
% 0.91/1.00  cnf(480,plain,
% 0.91/1.00     (~P12(x4801,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(482,plain,
% 0.91/1.00     (~P12(x4821,f55(f53(a2)))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,473,478,480,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206,205,266,273])).
% 0.91/1.00  cnf(484,plain,
% 0.91/1.00     (P12(a2,f58(f55(a2)))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,473,478,480,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206,205,266,273,271])).
% 0.91/1.00  cnf(491,plain,
% 0.91/1.00     (~P12(x4911,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(495,plain,
% 0.91/1.00     (~P15(x4951,a2,f53(a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,473,478,480,491,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206,205,266,273,271,284,282,276,272,327])).
% 0.91/1.00  cnf(496,plain,
% 0.91/1.00     (~P12(x4961,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(498,plain,
% 0.91/1.00     (~P1(x4981,f53(a2),a2)),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,473,478,480,491,496,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206,205,266,273,271,284,282,276,272,327,326])).
% 0.91/1.00  cnf(501,plain,
% 0.91/1.00     (~P14(x5011,a2,f53(a2))),
% 0.91/1.00     inference(scs_inference,[],[254,390,392,395,398,401,404,407,410,413,418,421,424,427,430,433,436,439,442,445,448,455,458,473,478,480,491,496,255,265,264,293,292,291,275,339,338,337,336,335,359,358,355,354,296,295,378,377,332,331,302,267,308,307,298,297,279,278,277,260,268,207,206,205,266,273,271,284,282,276,272,327,326,287])).
% 0.91/1.00  cnf(543,plain,
% 0.91/1.00     (~P12(f53(a2),f53(a2))),
% 0.91/1.00     inference(scs_inference,[],[476,472,498,501,479,2,344,343,283,270,269,263])).
% 0.91/1.00  cnf(551,plain,
% 0.91/1.00     (~P3(f4(x5511,x5512,f55(a2),a2,f55(a2)),x5513,x5513)),
% 0.91/1.00     inference(scs_inference,[],[254,476,472,450,498,501,484,479,2,344,343,283,270,269,263,257,274,246,382])).
% 0.91/1.00  cnf(552,plain,
% 0.91/1.00     (~P12(x5521,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(554,plain,
% 0.91/1.00     (P12(f5(f53(a2),a2),f53(a2))),
% 0.91/1.00     inference(scs_inference,[],[254,476,472,450,498,501,484,479,2,344,343,283,270,269,263,257,274,246,382,264])).
% 0.91/1.00  cnf(557,plain,
% 0.91/1.00     (P12(x5571,f55(a2))),
% 0.91/1.00     inference(rename_variables,[],[472])).
% 0.91/1.00  cnf(560,plain,
% 0.91/1.00     (~P12(x5601,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(563,plain,
% 0.91/1.00     (~P12(x5631,f54(x5632,a2,x5633))),
% 0.91/1.00     inference(rename_variables,[],[444])).
% 0.91/1.00  cnf(564,plain,
% 0.91/1.00     (~P12(x5641,a2)),
% 0.91/1.00     inference(rename_variables,[],[254])).
% 0.91/1.00  cnf(574,plain,
% 0.91/1.00     (P12(f16(x5741,f53(a2)),f53(a2))),
% 0.91/1.00     inference(scs_inference,[],[254,552,560,444,563,460,482,476,472,450,495,498,501,484,477,479,2,344,343,283,270,269,263,257,274,246,382,264,273,308,307,306,293,272,268])).
% 0.91/1.00  cnf(576,plain,
% 0.91/1.00     (~P13(f41(a1,a2),a2)),
% 0.91/1.00     inference(scs_inference,[],[254,552,560,255,444,563,460,482,476,472,450,391,495,498,501,484,477,479,2,344,343,283,270,269,263,257,274,246,382,264,273,308,307,306,293,272,268,267])).
% 0.91/1.00  cnf(586,plain,
% 0.91/1.00     (P13(x5861,f55(a2))),
% 0.91/1.00     inference(scs_inference,[],[254,552,560,564,255,444,563,460,464,482,476,472,557,450,391,495,498,501,484,477,479,2,344,343,283,270,269,263,257,274,246,382,264,273,308,307,306,293,272,268,267,284,276,266,280])).
% 0.91/1.00  cnf(648,plain,
% 0.91/1.00     (~P12(x6481,f50(x6482,x6483,a2))),
% 0.91/1.00     inference(rename_variables,[],[462])).
% 0.91/1.00  cnf(651,plain,
% 0.91/1.00     (~P12(x6511,f50(x6512,x6513,a2))),
% 0.91/1.00     inference(rename_variables,[],[462])).
% 0.91/1.00  cnf(654,plain,
% 0.91/1.00     (~P12(x6541,f50(x6542,x6543,a2))),
% 0.91/1.00     inference(rename_variables,[],[462])).
% 0.91/1.00  cnf(658,plain,
% 0.91/1.00     (P1(x6581,f50(x6582,a2,a2),x6583)),
% 0.91/1.00     inference(scs_inference,[],[254,470,551,586,574,543,462,648,651,654,447,285,204,382,263,293,264,268,267,306])).
% 0.91/1.00  cnf(699,plain,
% 0.91/1.00     (~P12(x6991,f41(x6992,a2))),
% 0.91/1.00     inference(rename_variables,[],[432])).
% 0.91/1.00  cnf(701,plain,
% 0.91/1.00     ($false),
% 0.91/1.00     inference(scs_inference,[],[658,554,576,432,699,543,450,462,360,263,204,265,264]),
% 0.91/1.00     ['proof']).
% 0.91/1.00  % SZS output end Proof
% 0.91/1.00  % Total time :0.270000s
%------------------------------------------------------------------------------