TSTP Solution File: NUM377+1.015 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : NUM377+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n032.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 : Tue Aug 22 10:51:23 EDT 2023

% Result   : Unsatisfiable 119.30s 101.51s
% Output   : CNFRefutation 121.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
%$ sum > #nlpp > succ > pred > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n15 > n14 > n13 > n12 > n11 > n10 > n1 > n0 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_31 > #skF_15 > #skF_25 > #skF_19 > #skF_7 > #skF_10 > #skF_16 > #skF_26 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_9 > #skF_32 > #skF_8 > #skF_30 > #skF_4 > #skF_22 > #skF_29 > #skF_28 > #skF_24 > #skF_27 > #skF_23 > #skF_12

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(n12,type,
    n12: $i ).

tff('#skF_20',type,
    '#skF_20': $i ).

tff('#skF_18',type,
    '#skF_18': $i ).

tff('#skF_17',type,
    '#skF_17': $i ).

tff('#skF_11',type,
    '#skF_11': $i ).

tff('#skF_31',type,
    '#skF_31': $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

tff('#skF_25',type,
    '#skF_25': $i ).

tff(n8,type,
    n8: $i ).

tff('#skF_19',type,
    '#skF_19': $i ).

tff(n9,type,
    n9: $i ).

tff('#skF_7',type,
    '#skF_7': $i ).

tff(n3,type,
    n3: $i ).

tff('#skF_10',type,
    '#skF_10': $i ).

tff('#skF_16',type,
    '#skF_16': $i ).

tff('#skF_26',type,
    '#skF_26': $i ).

tff(n1,type,
    n1: $i ).

tff('#skF_14',type,
    '#skF_14': $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff(n7,type,
    n7: $i ).

tff('#skF_6',type,
    '#skF_6': $i ).

tff('#skF_13',type,
    '#skF_13': $i ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff(n6,type,
    n6: $i ).

tff('#skF_3',type,
    '#skF_3': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(n13,type,
    n13: $i ).

tff(n0,type,
    n0: $i ).

tff(sum,type,
    sum: ( $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': $i ).

tff('#skF_9',type,
    '#skF_9': $i ).

tff('#skF_32',type,
    '#skF_32': $i ).

tff(n4,type,
    n4: $i ).

tff(n10,type,
    n10: $i ).

tff(n14,type,
    n14: $i ).

tff(n15,type,
    n15: $i ).

tff('#skF_8',type,
    '#skF_8': $i ).

tff('#skF_30',type,
    '#skF_30': $i ).

tff('#skF_4',type,
    '#skF_4': $i ).

tff('#skF_22',type,
    '#skF_22': $i ).

tff('#skF_29',type,
    '#skF_29': $i ).

tff('#skF_28',type,
    '#skF_28': $i ).

tff(n11,type,
    n11: $i ).

tff('#skF_24',type,
    '#skF_24': $i ).

tff('#skF_27',type,
    '#skF_27': $i ).

tff('#skF_23',type,
    '#skF_23': $i ).

tff(n2,type,
    n2: $i ).

tff(n5,type,
    n5: $i ).

tff(succ,type,
    succ: $i > $i ).

tff(pred,type,
    pred: $i > $i ).

tff('#skF_12',type,
    '#skF_12': $i ).

tff(f_1130,axiom,
    ? [X0,Y0,X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10,X11,Y11,X12,Y12,X13,Y13,X14,Y14,X15,Y15] :
      ( ( succ(n0) = n1 )
      & ( succ(n1) = n2 )
      & ( succ(n2) = n3 )
      & ( succ(n3) = n4 )
      & ( succ(n4) = n5 )
      & ( succ(n5) = n6 )
      & ( succ(n6) = n7 )
      & ( succ(n7) = n8 )
      & ( succ(n8) = n9 )
      & ( succ(n9) = n10 )
      & ( succ(n10) = n11 )
      & ( succ(n11) = n12 )
      & ( succ(n12) = n13 )
      & ( succ(n13) = n14 )
      & ( succ(n14) = n15 )
      & ( succ(n15) = n0 )
      & ( pred(n0) = n15 )
      & ( pred(n1) = n0 )
      & ( pred(n2) = n1 )
      & ( pred(n3) = n2 )
      & ( pred(n4) = n3 )
      & ( pred(n5) = n4 )
      & ( pred(n6) = n5 )
      & ( pred(n7) = n6 )
      & ( pred(n8) = n7 )
      & ( pred(n9) = n8 )
      & ( pred(n10) = n9 )
      & ( pred(n11) = n10 )
      & ( pred(n12) = n11 )
      & ( pred(n13) = n12 )
      & ( pred(n14) = n13 )
      & ( pred(n15) = n14 )
      & ( sum(n0,n0) = n0 )
      & ( sum(n0,n1) = n1 )
      & ( sum(n0,n2) = n2 )
      & ( sum(n0,n3) = n3 )
      & ( sum(n0,n4) = n4 )
      & ( sum(n0,n5) = n5 )
      & ( sum(n0,n6) = n6 )
      & ( sum(n0,n7) = n7 )
      & ( sum(n0,n8) = n8 )
      & ( sum(n0,n9) = n9 )
      & ( sum(n0,n10) = n10 )
      & ( sum(n0,n11) = n11 )
      & ( sum(n0,n12) = n12 )
      & ( sum(n0,n13) = n13 )
      & ( sum(n0,n14) = n14 )
      & ( sum(n0,n15) = n15 )
      & ( sum(n1,n0) = n1 )
      & ( sum(n1,n1) = n2 )
      & ( sum(n1,n2) = n3 )
      & ( sum(n1,n3) = n4 )
      & ( sum(n1,n4) = n5 )
      & ( sum(n1,n5) = n6 )
      & ( sum(n1,n6) = n7 )
      & ( sum(n1,n7) = n8 )
      & ( sum(n1,n8) = n9 )
      & ( sum(n1,n9) = n10 )
      & ( sum(n1,n10) = n11 )
      & ( sum(n1,n11) = n12 )
      & ( sum(n1,n12) = n13 )
      & ( sum(n1,n13) = n14 )
      & ( sum(n1,n14) = n15 )
      & ( sum(n1,n15) = n0 )
      & ( sum(n2,n0) = n2 )
      & ( sum(n2,n1) = n3 )
      & ( sum(n2,n2) = n4 )
      & ( sum(n2,n3) = n5 )
      & ( sum(n2,n4) = n6 )
      & ( sum(n2,n5) = n7 )
      & ( sum(n2,n6) = n8 )
      & ( sum(n2,n7) = n9 )
      & ( sum(n2,n8) = n10 )
      & ( sum(n2,n9) = n11 )
      & ( sum(n2,n10) = n12 )
      & ( sum(n2,n11) = n13 )
      & ( sum(n2,n12) = n14 )
      & ( sum(n2,n13) = n15 )
      & ( sum(n2,n14) = n0 )
      & ( sum(n2,n15) = n1 )
      & ( sum(n3,n0) = n3 )
      & ( sum(n3,n1) = n4 )
      & ( sum(n3,n2) = n5 )
      & ( sum(n3,n3) = n6 )
      & ( sum(n3,n4) = n7 )
      & ( sum(n3,n5) = n8 )
      & ( sum(n3,n6) = n9 )
      & ( sum(n3,n7) = n10 )
      & ( sum(n3,n8) = n11 )
      & ( sum(n3,n9) = n12 )
      & ( sum(n3,n10) = n13 )
      & ( sum(n3,n11) = n14 )
      & ( sum(n3,n12) = n15 )
      & ( sum(n3,n13) = n0 )
      & ( sum(n3,n14) = n1 )
      & ( sum(n3,n15) = n2 )
      & ( sum(n4,n0) = n4 )
      & ( sum(n4,n1) = n5 )
      & ( sum(n4,n2) = n6 )
      & ( sum(n4,n3) = n7 )
      & ( sum(n4,n4) = n8 )
      & ( sum(n4,n5) = n9 )
      & ( sum(n4,n6) = n10 )
      & ( sum(n4,n7) = n11 )
      & ( sum(n4,n8) = n12 )
      & ( sum(n4,n9) = n13 )
      & ( sum(n4,n10) = n14 )
      & ( sum(n4,n11) = n15 )
      & ( sum(n4,n12) = n0 )
      & ( sum(n4,n13) = n1 )
      & ( sum(n4,n14) = n2 )
      & ( sum(n4,n15) = n3 )
      & ( sum(n5,n0) = n5 )
      & ( sum(n5,n1) = n6 )
      & ( sum(n5,n2) = n7 )
      & ( sum(n5,n3) = n8 )
      & ( sum(n5,n4) = n9 )
      & ( sum(n5,n5) = n10 )
      & ( sum(n5,n6) = n11 )
      & ( sum(n5,n7) = n12 )
      & ( sum(n5,n8) = n13 )
      & ( sum(n5,n9) = n14 )
      & ( sum(n5,n10) = n15 )
      & ( sum(n5,n11) = n0 )
      & ( sum(n5,n12) = n1 )
      & ( sum(n5,n13) = n2 )
      & ( sum(n5,n14) = n3 )
      & ( sum(n5,n15) = n4 )
      & ( sum(n6,n0) = n6 )
      & ( sum(n6,n1) = n7 )
      & ( sum(n6,n2) = n8 )
      & ( sum(n6,n3) = n9 )
      & ( sum(n6,n4) = n10 )
      & ( sum(n6,n5) = n11 )
      & ( sum(n6,n6) = n12 )
      & ( sum(n6,n7) = n13 )
      & ( sum(n6,n8) = n14 )
      & ( sum(n6,n9) = n15 )
      & ( sum(n6,n10) = n0 )
      & ( sum(n6,n11) = n1 )
      & ( sum(n6,n12) = n2 )
      & ( sum(n6,n13) = n3 )
      & ( sum(n6,n14) = n4 )
      & ( sum(n6,n15) = n5 )
      & ( sum(n7,n0) = n7 )
      & ( sum(n7,n1) = n8 )
      & ( sum(n7,n2) = n9 )
      & ( sum(n7,n3) = n10 )
      & ( sum(n7,n4) = n11 )
      & ( sum(n7,n5) = n12 )
      & ( sum(n7,n6) = n13 )
      & ( sum(n7,n7) = n14 )
      & ( sum(n7,n8) = n15 )
      & ( sum(n7,n9) = n0 )
      & ( sum(n7,n10) = n1 )
      & ( sum(n7,n11) = n2 )
      & ( sum(n7,n12) = n3 )
      & ( sum(n7,n13) = n4 )
      & ( sum(n7,n14) = n5 )
      & ( sum(n7,n15) = n6 )
      & ( sum(n8,n0) = n8 )
      & ( sum(n8,n1) = n9 )
      & ( sum(n8,n2) = n10 )
      & ( sum(n8,n3) = n11 )
      & ( sum(n8,n4) = n12 )
      & ( sum(n8,n5) = n13 )
      & ( sum(n8,n6) = n14 )
      & ( sum(n8,n7) = n15 )
      & ( sum(n8,n8) = n0 )
      & ( sum(n8,n9) = n1 )
      & ( sum(n8,n10) = n2 )
      & ( sum(n8,n11) = n3 )
      & ( sum(n8,n12) = n4 )
      & ( sum(n8,n13) = n5 )
      & ( sum(n8,n14) = n6 )
      & ( sum(n8,n15) = n7 )
      & ( sum(n9,n0) = n9 )
      & ( sum(n9,n1) = n10 )
      & ( sum(n9,n2) = n11 )
      & ( sum(n9,n3) = n12 )
      & ( sum(n9,n4) = n13 )
      & ( sum(n9,n5) = n14 )
      & ( sum(n9,n6) = n15 )
      & ( sum(n9,n7) = n0 )
      & ( sum(n9,n8) = n1 )
      & ( sum(n9,n9) = n2 )
      & ( sum(n9,n10) = n3 )
      & ( sum(n9,n11) = n4 )
      & ( sum(n9,n12) = n5 )
      & ( sum(n9,n13) = n6 )
      & ( sum(n9,n14) = n7 )
      & ( sum(n9,n15) = n8 )
      & ( sum(n10,n0) = n10 )
      & ( sum(n10,n1) = n11 )
      & ( sum(n10,n2) = n12 )
      & ( sum(n10,n3) = n13 )
      & ( sum(n10,n4) = n14 )
      & ( sum(n10,n5) = n15 )
      & ( sum(n10,n6) = n0 )
      & ( sum(n10,n7) = n1 )
      & ( sum(n10,n8) = n2 )
      & ( sum(n10,n9) = n3 )
      & ( sum(n10,n10) = n4 )
      & ( sum(n10,n11) = n5 )
      & ( sum(n10,n12) = n6 )
      & ( sum(n10,n13) = n7 )
      & ( sum(n10,n14) = n8 )
      & ( sum(n10,n15) = n9 )
      & ( sum(n11,n0) = n11 )
      & ( sum(n11,n1) = n12 )
      & ( sum(n11,n2) = n13 )
      & ( sum(n11,n3) = n14 )
      & ( sum(n11,n4) = n15 )
      & ( sum(n11,n5) = n0 )
      & ( sum(n11,n6) = n1 )
      & ( sum(n11,n7) = n2 )
      & ( sum(n11,n8) = n3 )
      & ( sum(n11,n9) = n4 )
      & ( sum(n11,n10) = n5 )
      & ( sum(n11,n11) = n6 )
      & ( sum(n11,n12) = n7 )
      & ( sum(n11,n13) = n8 )
      & ( sum(n11,n14) = n9 )
      & ( sum(n11,n15) = n10 )
      & ( sum(n12,n0) = n12 )
      & ( sum(n12,n1) = n13 )
      & ( sum(n12,n2) = n14 )
      & ( sum(n12,n3) = n15 )
      & ( sum(n12,n4) = n0 )
      & ( sum(n12,n5) = n1 )
      & ( sum(n12,n6) = n2 )
      & ( sum(n12,n7) = n3 )
      & ( sum(n12,n8) = n4 )
      & ( sum(n12,n9) = n5 )
      & ( sum(n12,n10) = n6 )
      & ( sum(n12,n11) = n7 )
      & ( sum(n12,n12) = n8 )
      & ( sum(n12,n13) = n9 )
      & ( sum(n12,n14) = n10 )
      & ( sum(n12,n15) = n11 )
      & ( sum(n13,n0) = n13 )
      & ( sum(n13,n1) = n14 )
      & ( sum(n13,n2) = n15 )
      & ( sum(n13,n3) = n0 )
      & ( sum(n13,n4) = n1 )
      & ( sum(n13,n5) = n2 )
      & ( sum(n13,n6) = n3 )
      & ( sum(n13,n7) = n4 )
      & ( sum(n13,n8) = n5 )
      & ( sum(n13,n9) = n6 )
      & ( sum(n13,n10) = n7 )
      & ( sum(n13,n11) = n8 )
      & ( sum(n13,n12) = n9 )
      & ( sum(n13,n13) = n10 )
      & ( sum(n13,n14) = n11 )
      & ( sum(n13,n15) = n12 )
      & ( sum(n14,n0) = n14 )
      & ( sum(n14,n1) = n15 )
      & ( sum(n14,n2) = n0 )
      & ( sum(n14,n3) = n1 )
      & ( sum(n14,n4) = n2 )
      & ( sum(n14,n5) = n3 )
      & ( sum(n14,n6) = n4 )
      & ( sum(n14,n7) = n5 )
      & ( sum(n14,n8) = n6 )
      & ( sum(n14,n9) = n7 )
      & ( sum(n14,n10) = n8 )
      & ( sum(n14,n11) = n9 )
      & ( sum(n14,n12) = n10 )
      & ( sum(n14,n13) = n11 )
      & ( sum(n14,n14) = n12 )
      & ( sum(n14,n15) = n13 )
      & ( sum(n15,n0) = n15 )
      & ( sum(n15,n1) = n0 )
      & ( sum(n15,n2) = n1 )
      & ( sum(n15,n3) = n2 )
      & ( sum(n15,n4) = n3 )
      & ( sum(n15,n5) = n4 )
      & ( sum(n15,n6) = n5 )
      & ( sum(n15,n7) = n6 )
      & ( sum(n15,n8) = n7 )
      & ( sum(n15,n9) = n8 )
      & ( sum(n15,n10) = n9 )
      & ( sum(n15,n11) = n10 )
      & ( sum(n15,n12) = n11 )
      & ( sum(n15,n13) = n12 )
      & ( sum(n15,n14) = n13 )
      & ( sum(n15,n15) = n14 )
      & ( ( X0 = n0 )
        | ( X0 = n1 )
        | ( X0 = n2 )
        | ( X0 = n3 )
        | ( X0 = n4 )
        | ( X0 = n5 )
        | ( X0 = n6 )
        | ( X0 = n7 )
        | ( X0 = n8 )
        | ( X0 = n9 )
        | ( X0 = n10 )
        | ( X0 = n11 )
        | ( X0 = n12 )
        | ( X0 = n13 )
        | ( X0 = n14 )
        | ( X0 = n15 ) )
      & ( ( Y0 = n0 )
        | ( Y0 = n1 )
        | ( Y0 = n2 )
        | ( Y0 = n3 )
        | ( Y0 = n4 )
        | ( Y0 = n5 )
        | ( Y0 = n6 )
        | ( Y0 = n7 )
        | ( Y0 = n8 )
        | ( Y0 = n9 )
        | ( Y0 = n10 )
        | ( Y0 = n11 )
        | ( Y0 = n12 )
        | ( Y0 = n13 )
        | ( Y0 = n14 )
        | ( Y0 = n15 ) )
      & ( X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0))) )
      & ( Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0))) )
      & ( X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1))) )
      & ( Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1))) )
      & ( X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2))) )
      & ( Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2))) )
      & ( X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3))) )
      & ( Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3))) )
      & ( X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4))) )
      & ( Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4))) )
      & ( X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5))) )
      & ( Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5))) )
      & ( X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6))) )
      & ( Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6))) )
      & ( X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7))) )
      & ( Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7))) )
      & ( X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8))) )
      & ( Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8))) )
      & ( X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9))) )
      & ( Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9))) )
      & ( X11 = sum(sum(pred(X10),succ(Y10)),sum(pred(Y10),succ(X10))) )
      & ( Y11 = sum(sum(pred(X10),succ(X10)),sum(pred(Y10),succ(Y10))) )
      & ( X12 = sum(sum(pred(X11),succ(Y11)),sum(pred(Y11),succ(X11))) )
      & ( Y12 = sum(sum(pred(X11),succ(X11)),sum(pred(Y11),succ(Y11))) )
      & ( X13 = sum(sum(pred(X12),succ(Y12)),sum(pred(Y12),succ(X12))) )
      & ( Y13 = sum(sum(pred(X12),succ(X12)),sum(pred(Y12),succ(Y12))) )
      & ( X14 = sum(sum(pred(X13),succ(Y13)),sum(pred(Y13),succ(X13))) )
      & ( Y14 = sum(sum(pred(X13),succ(X13)),sum(pred(Y13),succ(Y13))) )
      & ( X15 = sum(sum(pred(X14),succ(Y14)),sum(pred(Y14),succ(X14))) )
      & ( Y15 = sum(sum(pred(X14),succ(X14)),sum(pred(Y14),succ(Y14))) )
      & ( ( X1 != Y1 )
        | ( X2 != Y2 )
        | ( X3 != Y3 )
        | ( X4 != Y4 )
        | ( X5 != Y5 )
        | ( X6 != Y6 )
        | ( X7 != Y7 )
        | ( X8 != Y8 )
        | ( X9 != Y9 )
        | ( X10 != Y10 )
        | ( X11 != Y11 )
        | ( X12 != Y12 )
        | ( X13 != Y13 )
        | ( X14 != Y14 )
        | ( X15 != Y15 ) )
      & ( n0 != n1 )
      & ( n0 != n2 )
      & ( n0 != n3 )
      & ( n0 != n4 )
      & ( n0 != n5 )
      & ( n0 != n6 )
      & ( n0 != n7 )
      & ( n0 != n8 )
      & ( n0 != n9 )
      & ( n0 != n10 )
      & ( n0 != n11 )
      & ( n0 != n12 )
      & ( n0 != n13 )
      & ( n0 != n14 )
      & ( n0 != n15 )
      & ( n1 != n2 )
      & ( n1 != n3 )
      & ( n1 != n4 )
      & ( n1 != n5 )
      & ( n1 != n6 )
      & ( n1 != n7 )
      & ( n1 != n8 )
      & ( n1 != n9 )
      & ( n1 != n10 )
      & ( n1 != n11 )
      & ( n1 != n12 )
      & ( n1 != n13 )
      & ( n1 != n14 )
      & ( n1 != n15 )
      & ( n2 != n3 )
      & ( n2 != n4 )
      & ( n2 != n5 )
      & ( n2 != n6 )
      & ( n2 != n7 )
      & ( n2 != n8 )
      & ( n2 != n9 )
      & ( n2 != n10 )
      & ( n2 != n11 )
      & ( n2 != n12 )
      & ( n2 != n13 )
      & ( n2 != n14 )
      & ( n2 != n15 )
      & ( n3 != n4 )
      & ( n3 != n5 )
      & ( n3 != n6 )
      & ( n3 != n7 )
      & ( n3 != n8 )
      & ( n3 != n9 )
      & ( n3 != n10 )
      & ( n3 != n11 )
      & ( n3 != n12 )
      & ( n3 != n13 )
      & ( n3 != n14 )
      & ( n3 != n15 )
      & ( n4 != n5 )
      & ( n4 != n6 )
      & ( n4 != n7 )
      & ( n4 != n8 )
      & ( n4 != n9 )
      & ( n4 != n10 )
      & ( n4 != n11 )
      & ( n4 != n12 )
      & ( n4 != n13 )
      & ( n4 != n14 )
      & ( n4 != n15 )
      & ( n5 != n6 )
      & ( n5 != n7 )
      & ( n5 != n8 )
      & ( n5 != n9 )
      & ( n5 != n10 )
      & ( n5 != n11 )
      & ( n5 != n12 )
      & ( n5 != n13 )
      & ( n5 != n14 )
      & ( n5 != n15 )
      & ( n6 != n7 )
      & ( n6 != n8 )
      & ( n6 != n9 )
      & ( n6 != n10 )
      & ( n6 != n11 )
      & ( n6 != n12 )
      & ( n6 != n13 )
      & ( n6 != n14 )
      & ( n6 != n15 )
      & ( n7 != n8 )
      & ( n7 != n9 )
      & ( n7 != n10 )
      & ( n7 != n11 )
      & ( n7 != n12 )
      & ( n7 != n13 )
      & ( n7 != n14 )
      & ( n7 != n15 )
      & ( n8 != n9 )
      & ( n8 != n10 )
      & ( n8 != n11 )
      & ( n8 != n12 )
      & ( n8 != n13 )
      & ( n8 != n14 )
      & ( n8 != n15 )
      & ( n9 != n10 )
      & ( n9 != n11 )
      & ( n9 != n12 )
      & ( n9 != n13 )
      & ( n9 != n14 )
      & ( n9 != n15 )
      & ( n10 != n11 )
      & ( n10 != n12 )
      & ( n10 != n13 )
      & ( n10 != n14 )
      & ( n10 != n15 )
      & ( n11 != n12 )
      & ( n11 != n13 )
      & ( n11 != n14 )
      & ( n11 != n15 )
      & ( n12 != n13 )
      & ( n12 != n14 )
      & ( n12 != n15 )
      & ( n13 != n14 )
      & ( n13 != n15 )
      & ( n14 != n15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

tff(c_242,plain,
    ( ( '#skF_31' != '#skF_32' )
    | ( '#skF_30' != '#skF_29' )
    | ( '#skF_28' != '#skF_27' )
    | ( '#skF_25' != '#skF_26' )
    | ( '#skF_24' != '#skF_23' )
    | ( '#skF_21' != '#skF_22' )
    | ( '#skF_20' != '#skF_19' )
    | ( '#skF_18' != '#skF_17' )
    | ( '#skF_15' != '#skF_16' )
    | ( '#skF_14' != '#skF_13' )
    | ( '#skF_11' != '#skF_12' )
    | ( '#skF_10' != '#skF_9' )
    | ( '#skF_7' != '#skF_8' )
    | ( '#skF_5' != '#skF_6' )
    | ( '#skF_3' != '#skF_4' ) ),
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2155,plain,
    '#skF_3' != '#skF_4',
    inference(splitLeft,[status(thm)],[c_242]) ).

tff(c_818,plain,
    sum(n0,n0) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_576,plain,
    sum(n7,n9) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_370,plain,
    sum(n14,n0) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_790,plain,
    sum(n0,n14) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_814,plain,
    sum(n0,n2) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_794,plain,
    sum(n0,n12) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_346,plain,
    sum(n14,n12) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_810,plain,
    sum(n0,n4) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_362,plain,
    sum(n14,n4) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_610,plain,
    sum(n6,n8) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_746,plain,
    sum(n2,n4) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_376,plain,
    sum(n13,n13) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_672,plain,
    sum(n4,n9) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_350,plain,
    sum(n14,n10) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_342,plain,
    sum(n14,n14) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_550,plain,
    sum(n8,n6) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_308,plain,
    sum(n15,n15) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_518,plain,
    sum(n9,n6) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_478,plain,
    sum(n10,n10) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_678,plain,
    sum(n4,n6) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_606,plain,
    sum(n6,n10) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_474,plain,
    sum(n10,n12) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_542,plain,
    sum(n8,n10) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_806,plain,
    sum(n0,n6) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_750,plain,
    sum(n2,n2) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_482,plain,
    sum(n10,n8) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_682,plain,
    sum(n4,n4) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_784,plain,
    sum(n1,n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_634,plain,
    sum(n5,n12) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_666,plain,
    sum(n4,n12) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_614,plain,
    sum(n6,n6) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_712,plain,
    sum(n3,n5) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_444,plain,
    sum(n11,n11) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_706,plain,
    sum(n3,n8) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_702,plain,
    sum(n3,n10) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_354,plain,
    sum(n14,n8) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_738,plain,
    sum(n2,n8) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_736,plain,
    sum(n2,n9) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_358,plain,
    sum(n14,n6) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_410,plain,
    sum(n12,n12) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_554,plain,
    sum(n8,n4) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_512,plain,
    sum(n9,n9) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_740,plain,
    sum(n2,n7) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_486,plain,
    sum(n10,n6) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_798,plain,
    sum(n0,n10) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_598,plain,
    sum(n6,n14) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_734,plain,
    sum(n2,n10) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_580,plain,
    sum(n7,n7) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_502,plain,
    sum(n9,n14) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_662,plain,
    sum(n4,n14) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_546,plain,
    sum(n8,n8) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_768,plain,
    sum(n1,n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_564,plain,
    sum(n7,n15) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_802,plain,
    sum(n0,n8) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_430,plain,
    sum(n12,n2) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_644,plain,
    sum(n5,n7) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_686,plain,
    sum(n4,n2) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_508,plain,
    sum(n9,n11) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_622,plain,
    sum(n6,n2) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_648,plain,
    sum(n5,n5) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_808,plain,
    sum(n0,n5) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_462,plain,
    sum(n11,n2) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_494,plain,
    sum(n10,n2) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_406,plain,
    sum(n12,n14) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_366,plain,
    sum(n14,n2) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_626,plain,
    sum(n6,n0) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_726,plain,
    sum(n2,n14) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_356,plain,
    sum(n14,n7) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_690,plain,
    sum(n4,n0) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_534,plain,
    sum(n8,n14) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_466,plain,
    sum(n11,n0) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_470,plain,
    sum(n10,n14) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_304,plain,
    ( ( n15 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n1 = '#skF_2' )
    | ( n0 = '#skF_2' ) ),
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2156,plain,
    n0 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_304]) ).

tff(c_2190,plain,
    sum('#skF_2','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_2156,c_2156,c_818]) ).

tff(c_2169,plain,
    sum(n7,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_576]) ).

tff(c_2182,plain,
    sum(n14,'#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_370]) ).

tff(c_754,plain,
    sum(n2,n0) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2163,plain,
    sum(n2,'#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_754]) ).

tff(c_434,plain,
    sum(n12,n0) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2201,plain,
    sum(n12,'#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_434]) ).

tff(c_2187,plain,
    sum(n4,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_690]) ).

tff(c_498,plain,
    sum(n10,n0) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2176,plain,
    sum(n10,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_498]) ).

tff(c_2194,plain,
    sum(n6,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_626]) ).

tff(c_562,plain,
    sum(n8,n0) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2177,plain,
    sum(n8,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_562]) ).

tff(c_440,plain,
    sum(n11,n13) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_780,plain,
    sum(n1,n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_372,plain,
    sum(n13,n15) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2180,plain,
    sum('#skF_2',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_814]) ).

tff(c_306,plain,
    ( ( n15 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2226,plain,
    ( ( n15 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_306]) ).

tff(c_2227,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2226]) ).

tff(c_2429,plain,
    sum('#skF_1','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2227,c_2227,c_2227,c_2190]) ).

tff(c_336,plain,
    sum(n15,n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2195,plain,
    sum(n15,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_336]) ).

tff(c_2479,plain,
    sum(n15,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2227,c_2195]) ).

tff(c_850,plain,
    pred(n0) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2205,plain,
    pred('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_850]) ).

tff(c_2269,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_2227,c_2205]) ).

tff(c_882,plain,
    succ(n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2203,plain,
    succ('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_882]) ).

tff(c_2259,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_2227,c_2203]) ).

tff(c_300,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2238,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_1'),succ('#skF_1'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2227,c_2227,c_300]) ).

tff(c_2514,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2429,c_2479,c_2479,c_2269,c_2269,c_2259,c_2259,c_2238]) ).

tff(c_302,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2237,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_1'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2227,c_2227,c_302]) ).

tff(c_2504,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2429,c_2479,c_2479,c_2269,c_2269,c_2259,c_2259,c_2237]) ).

tff(c_2505,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2504,c_2155]) ).

tff(c_2596,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2514,c_2505]) ).

tff(c_2597,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_2226]) ).

tff(c_2811,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_2597]) ).

tff(c_852,plain,
    succ(n15) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2206,plain,
    succ(n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_852]) ).

tff(c_2818,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2811,c_2206]) ).

tff(c_820,plain,
    pred(n15) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2862,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_2811,c_820]) ).

tff(c_2608,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n15,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2205,c_300]) ).

tff(c_2801,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2195,c_2203,c_2608]) ).

tff(c_2885,plain,
    sum(sum(n14,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2862,c_2801]) ).

tff(c_3078,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2182,c_2182,c_2818,c_2885]) ).

tff(c_2839,plain,
    sum('#skF_1','#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_2811,c_2811,c_308]) ).

tff(c_3081,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3078,c_2839]) ).

tff(c_368,plain,
    sum(n14,n1) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2832,plain,
    sum(n14,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2811,c_368]) ).

tff(c_3079,plain,
    sum('#skF_4',n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3078,c_2832]) ).

tff(c_3084,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3078,c_2862]) ).

tff(c_338,plain,
    sum(n15,n0) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2192,plain,
    sum(n15,'#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_338]) ).

tff(c_2816,plain,
    sum('#skF_1','#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_2811,c_2811,c_2192]) ).

tff(c_2607,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2205,c_302]) ).

tff(c_2806,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2203,c_2607]) ).

tff(c_2812,plain,
    sum(sum(pred('#skF_1'),n1),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2811,c_2806]) ).

tff(c_3345,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3081,c_3079,c_3084,c_2816,c_2818,c_2812]) ).

tff(c_3346,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_3345]) ).

tff(c_3347,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_2597]) ).

tff(c_3349,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3347]) ).

tff(c_848,plain,
    pred(n1) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2204,plain,
    pred(n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_848]) ).

tff(c_3356,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_2204]) ).

tff(c_880,plain,
    succ(n1) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_3399,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_880]) ).

tff(c_3419,plain,
    sum(sum(pred('#skF_1'),n2),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3399,c_2801]) ).

tff(c_3616,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2163,c_2180,c_3356,c_3419]) ).

tff(c_3394,plain,
    sum('#skF_1','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_3349,c_784]) ).

tff(c_3618,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3616,c_3394]) ).

tff(c_334,plain,
    sum(n15,n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_3369,plain,
    sum(n15,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_334]) ).

tff(c_3619,plain,
    sum(n15,'#skF_4') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3616,c_3369]) ).

tff(c_3623,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3616,c_3399]) ).

tff(c_816,plain,
    sum(n0,n1) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_2189,plain,
    sum('#skF_2',n1) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_816]) ).

tff(c_3354,plain,
    sum('#skF_2','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_3349,c_2189]) ).

tff(c_3350,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_3349,c_2806]) ).

tff(c_3883,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3618,c_3619,c_3623,c_3354,c_3356,c_3350]) ).

tff(c_3884,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_3883]) ).

tff(c_3885,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3347]) ).

tff(c_3887,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_3885]) ).

tff(c_822,plain,
    pred(n14) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_3936,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_3887,c_822]) ).

tff(c_854,plain,
    succ(n14) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_3935,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_3887,c_854]) ).

tff(c_3957,plain,
    sum(sum(pred('#skF_1'),n15),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_3935,c_2801]) ).

tff(c_4154,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2201,c_372,c_3936,c_3957]) ).

tff(c_3916,plain,
    sum('#skF_1','#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_3887,c_3887,c_342]) ).

tff(c_4159,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4154,c_3916]) ).

tff(c_400,plain,
    sum(n13,n1) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_3893,plain,
    sum(n13,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3887,c_400]) ).

tff(c_3912,plain,
    sum(n15,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_3887,c_308]) ).

tff(c_3956,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_3935,c_2806]) ).

tff(c_4421,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4159,c_3893,c_3912,c_3936,c_3956]) ).

tff(c_4422,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_4421]) ).

tff(c_4423,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_3885]) ).

tff(c_4425,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4423]) ).

tff(c_878,plain,
    succ(n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_4472,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_4425,c_878]) ).

tff(c_846,plain,
    pred(n2) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_4475,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_4425,c_846]) ).

tff(c_4503,plain,
    sum(sum(n1,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4475,c_2801]) ).

tff(c_4692,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2187,c_780,c_4472,c_4503]) ).

tff(c_4433,plain,
    sum('#skF_1','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_4425,c_4425,c_750]) ).

tff(c_4695,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4692,c_4433]) ).

tff(c_4466,plain,
    sum(n1,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4425,c_784]) ).

tff(c_332,plain,
    sum(n15,n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_4453,plain,
    sum(n15,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4425,c_332]) ).

tff(c_4502,plain,
    sum(sum(n1,n1),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_4475,c_2806]) ).

tff(c_4959,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_4695,c_4466,c_4453,c_4472,c_4502]) ).

tff(c_4960,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_4959]) ).

tff(c_4961,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_4423]) ).

tff(c_4963,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_4961]) ).

tff(c_824,plain,
    pred(n13) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5012,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_4963,c_824]) ).

tff(c_856,plain,
    succ(n13) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5011,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_4963,c_856]) ).

tff(c_5033,plain,
    sum(sum(pred('#skF_1'),n14),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5011,c_2801]) ).

tff(c_5230,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2176,c_406,c_5012,c_5033]) ).

tff(c_4981,plain,
    sum('#skF_1','#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_4963,c_4963,c_376]) ).

tff(c_5233,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5230,c_4981]) ).

tff(c_310,plain,
    sum(n15,n14) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_4988,plain,
    sum(n15,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4963,c_310]) ).

tff(c_432,plain,
    sum(n12,n1) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5005,plain,
    sum(n12,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_4963,c_432]) ).

tff(c_5032,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n14)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_5011,c_2806]) ).

tff(c_5502,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5233,c_4988,c_5005,c_5012,c_5032]) ).

tff(c_5503,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_5502]) ).

tff(c_5504,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_4961]) ).

tff(c_5506,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_5504]) ).

tff(c_876,plain,
    succ(n3) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5556,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_5506,c_876]) ).

tff(c_844,plain,
    pred(n3) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5555,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_5506,c_844]) ).

tff(c_5580,plain,
    sum(sum(n2,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5555,c_2801]) ).

tff(c_5773,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2194,c_746,c_5556,c_5580]) ).

tff(c_716,plain,
    sum(n3,n3) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5516,plain,
    sum('#skF_1','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_5506,c_5506,c_716]) ).

tff(c_5778,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5773,c_5516]) ).

tff(c_330,plain,
    sum(n15,n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5543,plain,
    sum(n15,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5506,c_330]) ).

tff(c_752,plain,
    sum(n2,n1) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_5525,plain,
    sum(n2,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_5506,c_752]) ).

tff(c_5579,plain,
    sum(sum(n2,n1),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_5555,c_2806]) ).

tff(c_6040,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_5778,c_5543,c_5525,c_5556,c_5579]) ).

tff(c_6041,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_6040]) ).

tff(c_6042,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_5504]) ).

tff(c_6044,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_6042]) ).

tff(c_826,plain,
    pred(n12) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6093,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_6044,c_826]) ).

tff(c_858,plain,
    succ(n12) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6092,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_6044,c_858]) ).

tff(c_6118,plain,
    sum(sum(pred('#skF_1'),n13),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6092,c_2801]) ).

tff(c_6311,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2177,c_440,c_6093,c_6118]) ).

tff(c_6084,plain,
    sum('#skF_1','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_6044,c_6044,c_410]) ).

tff(c_6316,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6311,c_6084]) ).

tff(c_464,plain,
    sum(n11,n1) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6090,plain,
    sum(n11,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6044,c_464]) ).

tff(c_312,plain,
    sum(n15,n13) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6089,plain,
    sum(n15,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6044,c_312]) ).

tff(c_6117,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_6092,c_2806]) ).

tff(c_6578,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6316,c_6090,c_6089,c_6093,c_6117]) ).

tff(c_6579,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_6578]) ).

tff(c_6580,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_6042]) ).

tff(c_6582,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_6580]) ).

tff(c_874,plain,
    succ(n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6631,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_6582,c_874]) ).

tff(c_842,plain,
    pred(n4) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6630,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_6582,c_842]) ).

tff(c_6660,plain,
    sum(sum(n3,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6630,c_2801]) ).

tff(c_6849,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2177,c_712,c_6631,c_6660]) ).

tff(c_6594,plain,
    sum('#skF_1','#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_6582,c_6582,c_682]) ).

tff(c_6850,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6849,c_6594]) ).

tff(c_328,plain,
    sum(n15,n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6593,plain,
    sum(n15,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6582,c_328]) ).

tff(c_720,plain,
    sum(n3,n1) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_6590,plain,
    sum(n3,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_6582,c_720]) ).

tff(c_6659,plain,
    sum(sum(n3,n1),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_6630,c_2806]) ).

tff(c_7116,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_6850,c_6593,c_6590,c_6631,c_6659]) ).

tff(c_7117,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_7116]) ).

tff(c_7118,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_6580]) ).

tff(c_7120,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7118]) ).

tff(c_828,plain,
    pred(n11) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7169,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_7120,c_828]) ).

tff(c_860,plain,
    succ(n11) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7167,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_7120,c_860]) ).

tff(c_7190,plain,
    sum(sum(pred('#skF_1'),n12),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7167,c_2801]) ).

tff(c_7387,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2194,c_474,c_7169,c_7190]) ).

tff(c_7142,plain,
    sum('#skF_1','#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_7120,c_7120,c_444]) ).

tff(c_7390,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7387,c_7142]) ).

tff(c_496,plain,
    sum(n10,n1) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7152,plain,
    sum(n10,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7120,c_496]) ).

tff(c_314,plain,
    sum(n15,n12) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7139,plain,
    sum(n15,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7120,c_314]) ).

tff(c_7189,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_7167,c_2806]) ).

tff(c_7654,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7390,c_7152,c_7139,c_7169,c_7189]) ).

tff(c_7655,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_7654]) ).

tff(c_7656,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_7118]) ).

tff(c_7658,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_7656]) ).

tff(c_840,plain,
    pred(n5) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7707,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_7658,c_840]) ).

tff(c_872,plain,
    succ(n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7705,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_7658,c_872]) ).

tff(c_7728,plain,
    sum(sum(pred('#skF_1'),n6),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7705,c_2801]) ).

tff(c_7925,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2176,c_678,c_7707,c_7728]) ).

tff(c_7683,plain,
    sum('#skF_1','#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_7658,c_7658,c_648]) ).

tff(c_7929,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7925,c_7683]) ).

tff(c_688,plain,
    sum(n4,n1) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7701,plain,
    sum(n4,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7658,c_688]) ).

tff(c_326,plain,
    sum(n15,n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_7669,plain,
    sum(n15,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_7658,c_326]) ).

tff(c_7727,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_7705,c_2806]) ).

tff(c_8192,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_7929,c_7701,c_7669,c_7707,c_7727]) ).

tff(c_8193,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_8192]) ).

tff(c_8194,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_7656]) ).

tff(c_8196,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8194]) ).

tff(c_830,plain,
    pred(n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8244,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_8196,c_830]) ).

tff(c_862,plain,
    succ(n10) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8243,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_8196,c_862]) ).

tff(c_8266,plain,
    sum(sum(pred('#skF_1'),n11),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8243,c_2801]) ).

tff(c_8463,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2187,c_508,c_8244,c_8266]) ).

tff(c_8214,plain,
    sum('#skF_1','#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_8196,c_8196,c_478]) ).

tff(c_8465,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8463,c_8214]) ).

tff(c_316,plain,
    sum(n15,n11) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8236,plain,
    sum(n15,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_8196,c_316]) ).

tff(c_528,plain,
    sum(n9,n1) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8220,plain,
    sum(n9,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_8196,c_528]) ).

tff(c_8265,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_8243,c_2806]) ).

tff(c_8730,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8465,c_8236,c_8220,c_8244,c_8265]) ).

tff(c_8731,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_8730]) ).

tff(c_8732,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8194]) ).

tff(c_8734,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_8732]) ).

tff(c_838,plain,
    pred(n6) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8784,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_8734,c_838]) ).

tff(c_870,plain,
    succ(n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8783,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_8734,c_870]) ).

tff(c_8808,plain,
    sum(sum(pred('#skF_1'),n7),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_8783,c_2801]) ).

tff(c_9001,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2201,c_644,c_8784,c_8808]) ).

tff(c_8760,plain,
    sum('#skF_1','#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_8734,c_8734,c_614]) ).

tff(c_9005,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9001,c_8760]) ).

tff(c_324,plain,
    sum(n15,n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8764,plain,
    sum(n15,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_8734,c_324]) ).

tff(c_656,plain,
    sum(n5,n1) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_8750,plain,
    sum(n5,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_8734,c_656]) ).

tff(c_8807,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n7)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_8783,c_2806]) ).

tff(c_9268,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9005,c_8764,c_8750,c_8784,c_8807]) ).

tff(c_9269,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_9268]) ).

tff(c_9270,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_8732]) ).

tff(c_9272,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_9270]) ).

tff(c_864,plain,
    succ(n9) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9321,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_9272,c_864]) ).

tff(c_832,plain,
    pred(n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9320,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_9272,c_832]) ).

tff(c_9342,plain,
    sum(sum(n8,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9320,c_2801]) ).

tff(c_9539,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2163,c_542,c_9321,c_9342]) ).

tff(c_9282,plain,
    sum('#skF_1','#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_9272,c_9272,c_512]) ).

tff(c_9544,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9539,c_9282]) ).

tff(c_560,plain,
    sum(n8,n1) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9295,plain,
    sum(n8,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_9272,c_560]) ).

tff(c_318,plain,
    sum(n15,n10) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9309,plain,
    sum(n15,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_9272,c_318]) ).

tff(c_9341,plain,
    sum(sum(n8,n1),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_9320,c_2806]) ).

tff(c_9806,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9544,c_9295,c_9309,c_9321,c_9341]) ).

tff(c_9807,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_9806]) ).

tff(c_9808,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_9270]) ).

tff(c_9810,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_9808]) ).

tff(c_868,plain,
    succ(n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9860,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_9810,c_868]) ).

tff(c_836,plain,
    pred(n7) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9857,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_9810,c_836]) ).

tff(c_9884,plain,
    sum(sum(n6,succ('#skF_1')),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_9857,c_2801]) ).

tff(c_10077,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2182,c_610,c_9860,c_9884]) ).

tff(c_9856,plain,
    sum('#skF_1','#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_9810,c_9810,c_580]) ).

tff(c_10082,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10077,c_9856]) ).

tff(c_624,plain,
    sum(n6,n1) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9835,plain,
    sum(n6,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_9810,c_624]) ).

tff(c_322,plain,
    sum(n15,n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_9829,plain,
    sum(n15,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_9810,c_322]) ).

tff(c_9883,plain,
    sum(sum(n6,n1),sum(n15,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_9857,c_2806]) ).

tff(c_10344,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10082,c_9835,c_9829,c_9860,c_9883]) ).

tff(c_10345,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_10344]) ).

tff(c_10346,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_9808]) ).

tff(c_834,plain,
    pred(n8) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_10394,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_10346,c_834]) ).

tff(c_866,plain,
    succ(n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_10396,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_10346,c_866]) ).

tff(c_10421,plain,
    sum(sum(pred('#skF_1'),n9),'#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10396,c_2801]) ).

tff(c_10614,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_2190,c_2169,c_10394,c_10421]) ).

tff(c_2193,plain,
    sum(n8,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_2156,c_546]) ).

tff(c_10350,plain,
    sum('#skF_1','#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10346,c_10346,c_2193]) ).

tff(c_10616,plain,
    sum('#skF_1','#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10614,c_10350]) ).

tff(c_320,plain,
    sum(n15,n9) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_10355,plain,
    sum(n15,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10346,c_320]) ).

tff(c_592,plain,
    sum(n7,n1) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_10354,plain,
    sum(n7,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10346,c_592]) ).

tff(c_10420,plain,
    sum(sum(pred('#skF_1'),n1),sum(n15,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_10396,c_2806]) ).

tff(c_10906,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10616,c_10355,c_10354,c_10394,c_10420]) ).

tff(c_10907,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_10906]) ).

tff(c_10908,plain,
    ( ( n1 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' )
    | ( n15 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_304]) ).

tff(c_10910,plain,
    n15 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_10908]) ).

tff(c_10979,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_306]) ).

tff(c_10980,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_10979]) ).

tff(c_10987,plain,
    sum('#skF_1',n14) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_10980,c_790]) ).

tff(c_10941,plain,
    sum('#skF_2',n1) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_336]) ).

tff(c_11318,plain,
    sum('#skF_2',n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10980,c_10941]) ).

tff(c_11005,plain,
    sum(n14,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_10980,c_370]) ).

tff(c_10958,plain,
    pred('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_820]) ).

tff(c_11024,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_10980,c_882]) ).

tff(c_10959,plain,
    succ('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_852]) ).

tff(c_11055,plain,
    succ('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_10980,c_10959]) ).

tff(c_10957,plain,
    pred(n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_850]) ).

tff(c_11048,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10980,c_10957]) ).

tff(c_11050,plain,
    sum(sum('#skF_2',succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11048,c_300]) ).

tff(c_11424,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10987,c_11318,c_11005,c_10958,c_11024,c_11055,c_11050]) ).

tff(c_10932,plain,
    sum('#skF_2','#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_10910,c_308]) ).

tff(c_11427,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11424,c_10932]) ).

tff(c_10924,plain,
    sum(n14,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_368]) ).

tff(c_11428,plain,
    sum('#skF_4',n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_11424,c_10924]) ).

tff(c_11434,plain,
    pred('#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11424,c_10958]) ).

tff(c_10939,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_10910,c_338]) ).

tff(c_11403,plain,
    sum('#skF_2','#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10980,c_10939]) ).

tff(c_11049,plain,
    sum(sum('#skF_2',succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_11048,c_302]) ).

tff(c_11691,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11427,c_11428,c_11434,c_11403,c_11024,c_11055,c_11049]) ).

tff(c_11692,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_11691]) ).

tff(c_11693,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_10979]) ).

tff(c_11903,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_11693]) ).

tff(c_11950,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_11903,c_10959]) ).

tff(c_11949,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_11903,c_10958]) ).

tff(c_11704,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n0)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_10959,c_300]) ).

tff(c_11893,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_10958,c_11704]) ).

tff(c_11978,plain,
    sum(sum(n14,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_11949,c_11893]) ).

tff(c_12176,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_370,c_11950,c_11978]) ).

tff(c_12205,plain,
    sum(n14,n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12176,c_342]) ).

tff(c_11703,plain,
    sum(sum(pred('#skF_1'),n0),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_10959,c_302]) ).

tff(c_11898,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_10958,c_11703]) ).

tff(c_11977,plain,
    sum(sum(n14,n0),sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_11949,c_11898]) ).

tff(c_11979,plain,
    sum(n14,sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_11977]) ).

tff(c_12443,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12205,c_370,c_11950,c_11979]) ).

tff(c_12444,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_12443]) ).

tff(c_12445,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_11693]) ).

tff(c_12447,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12445]) ).

tff(c_12497,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_12447,c_848]) ).

tff(c_12494,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_12447,c_880]) ).

tff(c_12520,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12494,c_11898]) ).

tff(c_12522,plain,
    sum(sum(pred('#skF_1'),n0),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_12520]) ).

tff(c_12715,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_818,c_12497,c_12522]) ).

tff(c_12754,plain,
    sum(n2,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12715,c_726]) ).

tff(c_12748,plain,
    sum('#skF_3',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_12715,c_814]) ).

tff(c_12720,plain,
    pred('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12715,c_12497]) ).

tff(c_12521,plain,
    sum(sum(pred('#skF_1'),n2),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12494,c_11893]) ).

tff(c_12987,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12754,c_12748,c_12720,c_12521]) ).

tff(c_12988,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_12987]) ).

tff(c_12989,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12445]) ).

tff(c_12991,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_12989]) ).

tff(c_13039,plain,
    sum(n12,'#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_12991,c_406]) ).

tff(c_10928,plain,
    sum(n13,'#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_372]) ).

tff(c_10956,plain,
    succ(n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_854]) ).

tff(c_13000,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_12991,c_10956]) ).

tff(c_13043,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_12991,c_822]) ).

tff(c_12993,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_12991,c_11893]) ).

tff(c_13258,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13039,c_10928,c_13000,c_13043,c_12993]) ).

tff(c_13283,plain,
    sum(n13,n13) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13258,c_376]) ).

tff(c_340,plain,
    sum(n14,n15) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_10916,plain,
    sum(n14,'#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_10910,c_340]) ).

tff(c_12997,plain,
    sum('#skF_1','#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_12991,c_10916]) ).

tff(c_402,plain,
    sum(n13,n0) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_12992,plain,
    sum(sum(pred('#skF_1'),n0),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_12991,c_11898]) ).

tff(c_13525,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13283,c_12997,c_13000,c_402,c_13043,c_12992]) ).

tff(c_13526,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_13525]) ).

tff(c_13527,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_12989]) ).

tff(c_13529,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_13527]) ).

tff(c_13571,plain,
    sum(n1,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_13529,c_784]) ).

tff(c_786,plain,
    sum(n1,n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_13579,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_13529,c_846]) ).

tff(c_364,plain,
    sum(n14,n3) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_13576,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_13529,c_878]) ).

tff(c_13602,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_13576,c_11898]) ).

tff(c_13604,plain,
    sum(sum(pred('#skF_1'),n0),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_13602]) ).

tff(c_13797,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_13571,c_786,c_13579,c_13604]) ).

tff(c_13798,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13797,c_2155]) ).

tff(c_13575,plain,
    sum(n4,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_13529,c_662]) ).

tff(c_13603,plain,
    sum(sum(pred('#skF_1'),n3),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13576,c_11893]) ).

tff(c_13807,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13575,c_780,c_13579,c_13603]) ).

tff(c_13808,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13798,c_13807]) ).

tff(c_13809,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_13527]) ).

tff(c_13811,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_13809]) ).

tff(c_13860,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_13811,c_824]) ).

tff(c_13859,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_13811,c_856]) ).

tff(c_13881,plain,
    sum(sum(pred('#skF_1'),n14),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_13859,c_11893]) ).

tff(c_14079,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_406,c_13860,c_13881]) ).

tff(c_14126,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14079,c_410]) ).

tff(c_13880,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n14)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_13859,c_11898]) ).

tff(c_13882,plain,
    sum(sum(pred('#skF_1'),n0),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_13880]) ).

tff(c_14346,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14126,c_434,c_13860,c_13882]) ).

tff(c_14347,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_14346]) ).

tff(c_14348,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_13809]) ).

tff(c_14350,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14348]) ).

tff(c_14400,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_14350,c_876]) ).

tff(c_14399,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_14350,c_844]) ).

tff(c_14424,plain,
    sum(sum(n2,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14399,c_11893]) ).

tff(c_14618,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_746,c_14400,c_14424]) ).

tff(c_14635,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14618,c_750]) ).

tff(c_14664,plain,
    sum(n14,'#skF_4') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_14618,c_362]) ).

tff(c_14625,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14618,c_14400]) ).

tff(c_14423,plain,
    sum(sum(n2,n0),sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14399,c_11898]) ).

tff(c_14425,plain,
    sum(n2,sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_14423]) ).

tff(c_14885,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14635,c_14664,c_14625,c_14425]) ).

tff(c_14886,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_14885]) ).

tff(c_14887,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14348]) ).

tff(c_14889,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_14887]) ).

tff(c_14938,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_14889,c_826]) ).

tff(c_344,plain,
    sum(n14,n13) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_14937,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_14889,c_858]) ).

tff(c_14958,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_14937,c_11898]) ).

tff(c_14960,plain,
    sum(sum(pred('#skF_1'),n0),n11) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_344,c_14958]) ).

tff(c_15157,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_466,c_14938,c_14960]) ).

tff(c_15178,plain,
    sum(n8,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_15157,c_534]) ).

tff(c_14959,plain,
    sum(sum(pred('#skF_1'),n13),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_14937,c_11893]) ).

tff(c_15424,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15178,c_440,c_14938,c_14959]) ).

tff(c_15425,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_15424]) ).

tff(c_15426,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_14887]) ).

tff(c_15428,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_15426]) ).

tff(c_15477,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_15428,c_874]) ).

tff(c_15476,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_15428,c_842]) ).

tff(c_15506,plain,
    sum(sum(n3,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15476,c_11893]) ).

tff(c_15696,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_712,c_15477,c_15506]) ).

tff(c_15715,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15696,c_716]) ).

tff(c_360,plain,
    sum(n14,n5) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_722,plain,
    sum(n3,n0) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_15505,plain,
    sum(sum(n3,n0),sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_15476,c_11898]) ).

tff(c_15507,plain,
    sum(n3,sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_722,c_15505]) ).

tff(c_15963,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_15715,c_360,c_15477,c_15507]) ).

tff(c_15964,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_15963]) ).

tff(c_15965,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_15426]) ).

tff(c_15967,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_15965]) ).

tff(c_16016,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_15967,c_828]) ).

tff(c_16014,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_15967,c_860]) ).

tff(c_16037,plain,
    sum(sum(pred('#skF_1'),n12),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16014,c_11893]) ).

tff(c_16235,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_474,c_16016,c_16037]) ).

tff(c_16262,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16235,c_478]) ).

tff(c_16036,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_16014,c_11898]) ).

tff(c_16038,plain,
    sum(sum(pred('#skF_1'),n0),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_16036]) ).

tff(c_16502,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16262,c_498,c_16016,c_16038]) ).

tff(c_16503,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_16502]) ).

tff(c_16504,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_15965]) ).

tff(c_16506,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_16504]) ).

tff(c_16555,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_16506,c_840]) ).

tff(c_16553,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_16506,c_872]) ).

tff(c_16579,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_16553,c_11898]) ).

tff(c_16581,plain,
    sum(sum(pred('#skF_1'),n0),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_358,c_16579]) ).

tff(c_16774,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_690,c_16555,c_16581]) ).

tff(c_16789,plain,
    sum(n10,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_16774,c_470]) ).

tff(c_16580,plain,
    sum(sum(pred('#skF_1'),n6),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16553,c_11893]) ).

tff(c_17046,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_16789,c_678,c_16555,c_16580]) ).

tff(c_17047,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_17046]) ).

tff(c_17048,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_16504]) ).

tff(c_17050,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_17048]) ).

tff(c_17098,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_17050,c_830]) ).

tff(c_17097,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_17050,c_862]) ).

tff(c_17120,plain,
    sum(sum(pred('#skF_1'),n11),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17097,c_11893]) ).

tff(c_17318,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_662,c_508,c_17098,c_17120]) ).

tff(c_17336,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17318,c_512]) ).

tff(c_530,plain,
    sum(n9,n0) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_348,plain,
    sum(n14,n11) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_17119,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17097,c_11898]) ).

tff(c_17121,plain,
    sum(sum(pred('#skF_1'),n0),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_348,c_17119]) ).

tff(c_17585,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17336,c_530,c_17098,c_17121]) ).

tff(c_17586,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_17585]) ).

tff(c_17587,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_17048]) ).

tff(c_17589,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_17587]) ).

tff(c_17638,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_17589,c_870]) ).

tff(c_658,plain,
    sum(n5,n0) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_17639,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_17589,c_838]) ).

tff(c_17666,plain,
    sum(sum(n5,n0),sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17639,c_11898]) ).

tff(c_17668,plain,
    sum(n5,sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_658,c_17666]) ).

tff(c_17857,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_356,c_17638,c_17668]) ).

tff(c_17903,plain,
    sum(n12,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_17857,c_406]) ).

tff(c_17667,plain,
    sum(sum(n5,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17639,c_11893]) ).

tff(c_18124,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_17903,c_644,c_17638,c_17667]) ).

tff(c_18125,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_18124]) ).

tff(c_18126,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_17587]) ).

tff(c_18128,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_18126]) ).

tff(c_18177,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_18128,c_864]) ).

tff(c_18176,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_18128,c_832]) ).

tff(c_18198,plain,
    sum(sum(n8,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18176,c_11893]) ).

tff(c_18396,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_542,c_18177,c_18198]) ).

tff(c_18438,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18396,c_546]) ).

tff(c_18197,plain,
    sum(sum(n8,n0),sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18176,c_11898]) ).

tff(c_18199,plain,
    sum(n8,sum(n14,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_18197]) ).

tff(c_18668,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18438,c_350,c_18177,c_18199]) ).

tff(c_18669,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_18668]) ).

tff(c_18670,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_18126]) ).

tff(c_18672,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_18670]) ).

tff(c_18719,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_18672,c_836]) ).

tff(c_18722,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_18672,c_868]) ).

tff(c_18745,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18722,c_11898]) ).

tff(c_18747,plain,
    sum(sum(pred('#skF_1'),n0),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_18745]) ).

tff(c_18940,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_626,c_18719,c_18747]) ).

tff(c_18972,plain,
    sum(n14,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_18940,c_342]) ).

tff(c_18746,plain,
    sum(sum(pred('#skF_1'),n8),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18722,c_11893]) ).

tff(c_19207,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_18972,c_610,c_18719,c_18746]) ).

tff(c_19208,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_19207]) ).

tff(c_19209,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_18670]) ).

tff(c_19257,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_19209,c_834]) ).

tff(c_19259,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_19209,c_866]) ).

tff(c_19284,plain,
    sum(sum(pred('#skF_1'),n9),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19259,c_11893]) ).

tff(c_19478,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_790,c_576,c_19257,c_19284]) ).

tff(c_19526,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19478,c_580]) ).

tff(c_594,plain,
    sum(n7,n0) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_352,plain,
    sum(n14,n9) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_19283,plain,
    sum(sum(pred('#skF_1'),n0),sum(n14,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19259,c_11898]) ).

tff(c_19285,plain,
    sum(sum(pred('#skF_1'),n0),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_352,c_19283]) ).

tff(c_19745,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19526,c_594,c_19257,c_19285]) ).

tff(c_19746,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_19745]) ).

tff(c_19747,plain,
    ( ( n14 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' )
    | ( n1 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_10908]) ).

tff(c_19749,plain,
    n1 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_19747]) ).

tff(c_19818,plain,
    ( ( n15 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_306]) ).

tff(c_19819,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_19818]) ).

tff(c_19842,plain,
    sum('#skF_1',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_19819,c_814]) ).

tff(c_19784,plain,
    sum(n15,'#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_336]) ).

tff(c_20218,plain,
    sum(n15,'#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_19819,c_19784]) ).

tff(c_19796,plain,
    succ(n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_882]) ).

tff(c_19906,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19819,c_19796]) ).

tff(c_19798,plain,
    pred('#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_848]) ).

tff(c_19901,plain,
    pred('#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_19819,c_19798]) ).

tff(c_19863,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_19819,c_850]) ).

tff(c_19795,plain,
    succ('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_880]) ).

tff(c_19892,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n2)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19795,c_300]) ).

tff(c_20263,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19842,c_20218,c_19842,c_19906,c_19901,c_19863,c_19892]) ).

tff(c_19790,plain,
    sum('#skF_2','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_19749,c_784]) ).

tff(c_20268,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20263,c_19790]) ).

tff(c_19762,plain,
    sum(n15,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_334]) ).

tff(c_20266,plain,
    sum(n15,'#skF_4') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_20263,c_19762]) ).

tff(c_19780,plain,
    sum(n0,'#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_19749,c_816]) ).

tff(c_20185,plain,
    sum('#skF_1','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19819,c_19780]) ).

tff(c_19891,plain,
    sum(sum(pred('#skF_1'),n2),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19795,c_302]) ).

tff(c_20530,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20268,c_20266,c_20263,c_20185,c_19906,c_19901,c_19863,c_19891]) ).

tff(c_20531,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_20530]) ).

tff(c_20532,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_19818]) ).

tff(c_20742,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_20532]) ).

tff(c_20791,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_20742,c_820]) ).

tff(c_20792,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_20742,c_852]) ).

tff(c_20539,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n0,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_19798,c_300]) ).

tff(c_20737,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_814,c_19795,c_20539]) ).

tff(c_20815,plain,
    sum(sum(pred('#skF_1'),n0),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_20792,c_20737]) ).

tff(c_21010,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_370,c_20791,c_20815]) ).

tff(c_21052,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21010,c_21010,c_21010,c_818]) ).

tff(c_21038,plain,
    sum(n14,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21010,c_366]) ).

tff(c_20538,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19798,c_302]) ).

tff(c_20732,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_19795,c_20538]) ).

tff(c_20816,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_20792,c_20732]) ).

tff(c_20817,plain,
    sum(sum(pred('#skF_1'),n2),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_20816]) ).

tff(c_21282,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21052,c_21038,c_21010,c_20791,c_20817]) ).

tff(c_21283,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_21282]) ).

tff(c_21284,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_20532]) ).

tff(c_21286,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21284]) ).

tff(c_21334,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_21286,c_19798]) ).

tff(c_21333,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_21286,c_19795]) ).

tff(c_21361,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_21333,c_20732]) ).

tff(c_21362,plain,
    sum(sum(pred('#skF_1'),n2),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_814,c_21361]) ).

tff(c_21559,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_814,c_21334,c_21362]) ).

tff(c_21569,plain,
    sum(n2,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_21559,c_750]) ).

tff(c_21360,plain,
    sum(sum(pred('#skF_1'),n2),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21333,c_20737]) ).

tff(c_21826,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21569,c_814,c_21334,c_21360]) ).

tff(c_21827,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_21826]) ).

tff(c_21828,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21284]) ).

tff(c_21830,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_21828]) ).

tff(c_21852,plain,
    sum(n12,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_21830,c_430]) ).

tff(c_21879,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_21830,c_822]) ).

tff(c_21878,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_21830,c_854]) ).

tff(c_21899,plain,
    sum(sum(pred('#skF_1'),n15),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21878,c_20737]) ).

tff(c_22098,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_21852,c_372,c_21879,c_21899]) ).

tff(c_21855,plain,
    sum(n15,n15) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_21830,c_308]) ).

tff(c_22140,plain,
    sum(n15,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22098,c_21855]) ).

tff(c_398,plain,
    sum(n13,n2) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_22146,plain,
    pred('#skF_4') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_22098,c_21879]) ).

tff(c_788,plain,
    sum(n0,n15) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_21900,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_21878,c_20732]) ).

tff(c_21901,plain,
    sum(sum(pred('#skF_1'),n2),n15) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_788,c_21900]) ).

tff(c_22380,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22140,c_398,c_22146,c_22098,c_21901]) ).

tff(c_22381,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_22380]) ).

tff(c_22382,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_21828]) ).

tff(c_22384,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22382]) ).

tff(c_22424,plain,
    sum(n4,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_22384,c_686]) ).

tff(c_19781,plain,
    sum('#skF_2',n3) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_780]) ).

tff(c_19797,plain,
    pred(n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_846]) ).

tff(c_22393,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_22384,c_19797]) ).

tff(c_22435,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_22384,c_878]) ).

tff(c_22385,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22384,c_20737]) ).

tff(c_22651,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22424,c_19781,c_22393,c_22435,c_22385]) ).

tff(c_22672,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22651,c_716]) ).

tff(c_782,plain,
    sum(n1,n2) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_19778,plain,
    sum('#skF_2',n2) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_19749,c_782]) ).

tff(c_22389,plain,
    sum('#skF_2','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_22384,c_19778]) ).

tff(c_812,plain,
    sum(n0,n3) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_22386,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22384,c_20732]) ).

tff(c_22918,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22672,c_22389,c_22393,c_812,c_22435,c_22386]) ).

tff(c_22919,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_22918]) ).

tff(c_22920,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_22382]) ).

tff(c_22922,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_22920]) ).

tff(c_22971,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_22922,c_824]) ).

tff(c_22970,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_22922,c_856]) ).

tff(c_22991,plain,
    sum(sum(pred('#skF_1'),n14),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_22970,c_20737]) ).

tff(c_23190,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_406,c_22971,c_22991]) ).

tff(c_23228,plain,
    sum(n14,n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23190,c_342]) ).

tff(c_23222,plain,
    sum('#skF_4',n2) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_23190,c_430]) ).

tff(c_23198,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23190,c_22971]) ).

tff(c_22992,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n14)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_22970,c_20732]) ).

tff(c_22993,plain,
    sum(sum(pred('#skF_1'),n2),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_790,c_22992]) ).

tff(c_23457,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23228,c_23222,c_23198,c_22993]) ).

tff(c_23458,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_23457]) ).

tff(c_23459,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_22920]) ).

tff(c_23461,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_23459]) ).

tff(c_23511,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_23461,c_876]) ).

tff(c_23510,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_23461,c_844]) ).

tff(c_23534,plain,
    sum(sum(n2,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23510,c_20737]) ).

tff(c_23729,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_746,c_23511,c_23534]) ).

tff(c_23747,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23729,c_682]) ).

tff(c_23535,plain,
    sum(sum(n2,n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_23510,c_20732]) ).

tff(c_23536,plain,
    sum(n4,sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_23535]) ).

tff(c_23996,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_23747,c_810,c_23511,c_23536]) ).

tff(c_23997,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_23996]) ).

tff(c_23998,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_23459]) ).

tff(c_24000,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_23998]) ).

tff(c_24049,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_24000,c_826]) ).

tff(c_792,plain,
    sum(n0,n13) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_24048,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_24000,c_858]) ).

tff(c_24070,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_24048,c_20732]) ).

tff(c_24071,plain,
    sum(sum(pred('#skF_1'),n2),n13) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_792,c_24070]) ).

tff(c_24268,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_462,c_24049,c_24071]) ).

tff(c_558,plain,
    sum(n8,n2) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_24299,plain,
    sum(n8,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_24268,c_558]) ).

tff(c_24069,plain,
    sum(sum(pred('#skF_1'),n13),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24048,c_20737]) ).

tff(c_24535,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24299,c_440,c_24049,c_24069]) ).

tff(c_24536,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_24535]) ).

tff(c_24537,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_23998]) ).

tff(c_24539,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_24537]) ).

tff(c_24588,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_24539,c_874]) ).

tff(c_718,plain,
    sum(n3,n2) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_24587,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_24539,c_842]) ).

tff(c_24609,plain,
    sum(sum(n3,n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_24587,c_20732]) ).

tff(c_24610,plain,
    sum(n5,sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_24609]) ).

tff(c_24807,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_808,c_24588,c_24610]) ).

tff(c_24835,plain,
    sum(n8,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_24807,c_558]) ).

tff(c_24608,plain,
    sum(sum(n3,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24587,c_20737]) ).

tff(c_25074,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_24835,c_712,c_24588,c_24608]) ).

tff(c_25075,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_25074]) ).

tff(c_25076,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_24537]) ).

tff(c_25078,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25076]) ).

tff(c_25127,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_25078,c_828]) ).

tff(c_25125,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_25078,c_860]) ).

tff(c_25147,plain,
    sum(sum(pred('#skF_1'),n12),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25125,c_20737]) ).

tff(c_25346,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_474,c_25127,c_25147]) ).

tff(c_25393,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25346,c_410]) ).

tff(c_25148,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_25125,c_20732]) ).

tff(c_25149,plain,
    sum(sum(pred('#skF_1'),n2),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_794,c_25148]) ).

tff(c_25613,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25393,c_494,c_25127,c_25149]) ).

tff(c_25614,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_25613]) ).

tff(c_25615,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25076]) ).

tff(c_25617,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_25615]) ).

tff(c_25666,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_25617,c_840]) ).

tff(c_25664,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_25617,c_872]) ).

tff(c_25687,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_25664,c_20732]) ).

tff(c_25688,plain,
    sum(sum(pred('#skF_1'),n2),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_806,c_25687]) ).

tff(c_25885,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_686,c_25666,c_25688]) ).

tff(c_25920,plain,
    sum(n10,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_25885,c_494]) ).

tff(c_25686,plain,
    sum(sum(pred('#skF_1'),n6),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25664,c_20737]) ).

tff(c_26152,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_25920,c_678,c_25666,c_25686]) ).

tff(c_26153,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_26152]) ).

tff(c_26154,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_25615]) ).

tff(c_26156,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_26154]) ).

tff(c_26204,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_26156,c_830]) ).

tff(c_26203,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_26156,c_862]) ).

tff(c_26225,plain,
    sum(sum(pred('#skF_1'),n11),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26203,c_20737]) ).

tff(c_26424,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_508,c_26204,c_26225]) ).

tff(c_26448,plain,
    sum(n11,n11) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26424,c_444]) ).

tff(c_526,plain,
    sum(n9,n2) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_796,plain,
    sum(n0,n11) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_26226,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_26203,c_20732]) ).

tff(c_26227,plain,
    sum(sum(pred('#skF_1'),n2),n11) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_796,c_26226]) ).

tff(c_26691,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26448,c_526,c_26204,c_26227]) ).

tff(c_26692,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_26691]) ).

tff(c_26693,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_26154]) ).

tff(c_26695,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_26693]) ).

tff(c_26744,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_26695,c_870]) ).

tff(c_26745,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_26695,c_838]) ).

tff(c_26768,plain,
    sum(sum(n5,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26745,c_20737]) ).

tff(c_26963,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_430,c_644,c_26744,c_26768]) ).

tff(c_27009,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_26963,c_580]) ).

tff(c_804,plain,
    sum(n0,n7) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_654,plain,
    sum(n5,n2) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_26769,plain,
    sum(sum(n5,n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_26745,c_20732]) ).

tff(c_26770,plain,
    sum(n7,sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_654,c_26769]) ).

tff(c_27230,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27009,c_804,c_26744,c_26770]) ).

tff(c_27231,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_27230]) ).

tff(c_27232,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_26693]) ).

tff(c_27234,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27232]) ).

tff(c_27283,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_27234,c_864]) ).

tff(c_27282,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_27234,c_832]) ).

tff(c_27304,plain,
    sum(sum(n8,n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27282,c_20732]) ).

tff(c_27305,plain,
    sum(n10,sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_27304]) ).

tff(c_27502,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_798,c_27283,c_27305]) ).

tff(c_27519,plain,
    sum(n2,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27502,c_750]) ).

tff(c_27303,plain,
    sum(sum(n8,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27282,c_20737]) ).

tff(c_27769,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27519,c_542,c_27283,c_27303]) ).

tff(c_27770,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_27769]) ).

tff(c_27771,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_27232]) ).

tff(c_27773,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_27771]) ).

tff(c_27823,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_27773,c_868]) ).

tff(c_27820,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_27773,c_836]) ).

tff(c_27847,plain,
    sum(sum(n6,n2),sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_27820,c_20732]) ).

tff(c_27848,plain,
    sum(n8,sum(n0,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_27847]) ).

tff(c_28041,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_802,c_27823,c_27848]) ).

tff(c_28067,plain,
    sum(n14,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28041,c_366]) ).

tff(c_27846,plain,
    sum(sum(n6,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_27820,c_20737]) ).

tff(c_28313,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28067,c_610,c_27823,c_27846]) ).

tff(c_28314,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_28313]) ).

tff(c_28315,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_27771]) ).

tff(c_28363,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_28315,c_834]) ).

tff(c_28365,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_28315,c_866]) ).

tff(c_28389,plain,
    sum(sum(pred('#skF_1'),n9),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28365,c_20737]) ).

tff(c_28584,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_814,c_576,c_28363,c_28389]) ).

tff(c_28603,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28584,c_512]) ).

tff(c_590,plain,
    sum(n7,n2) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_28629,plain,
    sum(n7,'#skF_4') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_28584,c_590]) ).

tff(c_800,plain,
    sum(n0,n9) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_28390,plain,
    sum(sum(pred('#skF_1'),n2),sum(n0,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28365,c_20732]) ).

tff(c_28391,plain,
    sum(sum(pred('#skF_1'),n2),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_800,c_28390]) ).

tff(c_28851,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28603,c_28629,c_28584,c_28363,c_28391]) ).

tff(c_28852,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_28851]) ).

tff(c_28853,plain,
    ( ( n2 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' )
    | ( n14 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_19747]) ).

tff(c_28855,plain,
    n14 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_28853]) ).

tff(c_28889,plain,
    sum('#skF_2',n12) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_346]) ).

tff(c_28887,plain,
    sum(n6,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_610]) ).

tff(c_28899,plain,
    sum(n7,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_580]) ).

tff(c_532,plain,
    sum(n8,n15) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_388,plain,
    sum(n13,n7) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_380,plain,
    sum(n13,n11) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_602,plain,
    sum(n6,n12) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_394,plain,
    sum(n13,n4) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_28898,plain,
    sum(n12,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_406]) ).

tff(c_28878,plain,
    sum(n15,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_308]) ).

tff(c_28875,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_28855,c_370]) ).

tff(c_28924,plain,
    ( ( n15 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_306]) ).

tff(c_28925,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_28924]) ).

tff(c_28931,plain,
    sum('#skF_1',n12) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_28925,c_794]) ).

tff(c_28961,plain,
    sum(n15,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_28925,c_336]) ).

tff(c_28969,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_28925,c_882]) ).

tff(c_28902,plain,
    succ('#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_854]) ).

tff(c_28903,plain,
    pred('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_822]) ).

tff(c_28971,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_28925,c_850]) ).

tff(c_28992,plain,
    sum(sum(n15,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28971,c_300]) ).

tff(c_29377,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28931,c_28961,c_28969,c_372,c_28902,c_28903,c_28992]) ).

tff(c_28883,plain,
    sum('#skF_2','#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_28855,c_342]) ).

tff(c_29386,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29377,c_28883]) ).

tff(c_28856,plain,
    sum(n13,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_400]) ).

tff(c_28991,plain,
    sum(sum(n15,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28971,c_302]) ).

tff(c_29644,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29386,c_28856,c_28878,c_28969,c_28902,c_28903,c_28991]) ).

tff(c_29645,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_29644]) ).

tff(c_29646,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_28924]) ).

tff(c_29856,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_29646]) ).

tff(c_28904,plain,
    pred(n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_820]) ).

tff(c_29864,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_29856,c_28904]) ).

tff(c_29907,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_29856,c_852]) ).

tff(c_29653,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n13,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28903,c_300]) ).

tff(c_29851,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_372,c_28902,c_29653]) ).

tff(c_29930,plain,
    sum(sum(pred('#skF_1'),n0),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_29907,c_29851]) ).

tff(c_30123,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28889,c_28875,c_29864,c_29930]) ).

tff(c_30148,plain,
    sum(n13,n13) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30123,c_376]) ).

tff(c_28861,plain,
    sum('#skF_2',n15) = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_340]) ).

tff(c_29859,plain,
    sum('#skF_2','#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_29856,c_28861]) ).

tff(c_29652,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28903,c_302]) ).

tff(c_29846,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28902,c_29652]) ).

tff(c_29857,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_29856,c_29846]) ).

tff(c_30390,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30148,c_29859,c_29864,c_402,c_29907,c_29857]) ).

tff(c_30391,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_30390]) ).

tff(c_30392,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_29646]) ).

tff(c_30394,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30392]) ).

tff(c_30441,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_30394,c_880]) ).

tff(c_30444,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_30394,c_848]) ).

tff(c_30468,plain,
    sum(sum(n0,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_30444,c_29846]) ).

tff(c_30469,plain,
    sum(n15,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_788,c_30468]) ).

tff(c_30662,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28878,c_398,c_30441,c_30469]) ).

tff(c_730,plain,
    sum(n2,n12) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_28871,plain,
    sum(n2,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_730]) ).

tff(c_30690,plain,
    sum(n2,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_30662,c_28871]) ).

tff(c_30467,plain,
    sum(sum(n0,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30444,c_29851]) ).

tff(c_30944,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30690,c_814,c_30441,c_30467]) ).

tff(c_30945,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_30944]) ).

tff(c_30946,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30392]) ).

tff(c_30948,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_30946]) ).

tff(c_30996,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_30948,c_28903]) ).

tff(c_30994,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_30948,c_28902]) ).

tff(c_31023,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_30994,c_29846]) ).

tff(c_31024,plain,
    sum(sum(pred('#skF_1'),n15),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_372,c_31023]) ).

tff(c_31221,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_372,c_30996,c_31024]) ).

tff(c_31267,plain,
    sum(n12,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_31221,c_410]) ).

tff(c_31022,plain,
    sum(sum(pred('#skF_1'),n15),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_30994,c_29851]) ).

tff(c_31488,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31267,c_372,c_30996,c_31022]) ).

tff(c_31489,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_31488]) ).

tff(c_31490,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_30946]) ).

tff(c_31492,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_31490]) ).

tff(c_31539,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_31492,c_878]) ).

tff(c_31542,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_31492,c_846]) ).

tff(c_31569,plain,
    sum(sum(n1,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31542,c_29851]) ).

tff(c_31760,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_780,c_31539,c_31569]) ).

tff(c_31796,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31760,c_31760,c_31760,c_818]) ).

tff(c_396,plain,
    sum(n13,n3) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_31771,plain,
    sum(n13,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31760,c_396]) ).

tff(c_756,plain,
    sum(n1,n15) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_31570,plain,
    sum(sum(n1,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_31542,c_29846]) ).

tff(c_31571,plain,
    sum(n0,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_756,c_31570]) ).

tff(c_32032,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_31796,c_31771,c_31760,c_31539,c_31571]) ).

tff(c_32033,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_32032]) ).

tff(c_32034,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_31490]) ).

tff(c_32036,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_32034]) ).

tff(c_28901,plain,
    succ(n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_856]) ).

tff(c_32045,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_32036,c_28901]) ).

tff(c_32087,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_32036,c_824]) ).

tff(c_32106,plain,
    sum(sum(n12,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32087,c_29851]) ).

tff(c_32303,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_28898,c_32045,c_32106]) ).

tff(c_32332,plain,
    sum(n11,n11) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32303,c_444]) ).

tff(c_374,plain,
    sum(n13,n14) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_28870,plain,
    sum(n13,'#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_28855,c_374]) ).

tff(c_32043,plain,
    sum('#skF_1','#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_32036,c_28870]) ).

tff(c_404,plain,
    sum(n12,n15) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_32037,plain,
    sum(sum(pred('#skF_1'),n15),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32036,c_29846]) ).

tff(c_32570,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32332,c_32043,c_32045,c_404,c_32087,c_32037]) ).

tff(c_32571,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_32570]) ).

tff(c_32572,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_32034]) ).

tff(c_32574,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_32572]) ).

tff(c_32624,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_32574,c_876]) ).

tff(c_724,plain,
    sum(n2,n15) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_32623,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_32574,c_844]) ).

tff(c_32648,plain,
    sum(sum(n2,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32623,c_29846]) ).

tff(c_32649,plain,
    sum(n1,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_32648]) ).

tff(c_32842,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_394,c_32624,c_32649]) ).

tff(c_32876,plain,
    sum(n6,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_32842,c_602]) ).

tff(c_32879,plain,
    sum('#skF_3',n4) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_32842,c_746]) ).

tff(c_32647,plain,
    sum(sum(n2,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32623,c_29851]) ).

tff(c_33109,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_32876,c_32879,c_32842,c_32624,c_32647]) ).

tff(c_33110,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_33109]) ).

tff(c_33111,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_32572]) ).

tff(c_33113,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_33111]) ).

tff(c_33162,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_33113,c_858]) ).

tff(c_436,plain,
    sum(n11,n15) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_33163,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_33113,c_826]) ).

tff(c_33183,plain,
    sum(sum(n11,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_33163,c_29846]) ).

tff(c_33184,plain,
    sum(n10,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_33183]) ).

tff(c_33381,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_376,c_33162,c_33184]) ).

tff(c_538,plain,
    sum(n8,n12) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_33131,plain,
    sum(n8,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_33113,c_538]) ).

tff(c_33384,plain,
    sum(n8,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_33381,c_33131]) ).

tff(c_33114,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33113,c_29851]) ).

tff(c_33648,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33384,c_440,c_33162,c_33163,c_33114]) ).

tff(c_33649,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_33648]) ).

tff(c_33650,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_33111]) ).

tff(c_33652,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_33650]) ).

tff(c_33663,plain,
    sum(n2,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33652,c_750]) ).

tff(c_392,plain,
    sum(n13,n5) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_33701,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_33652,c_874]) ).

tff(c_692,plain,
    sum(n3,n15) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_33700,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_33652,c_842]) ).

tff(c_33730,plain,
    sum(sum(n3,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_33700,c_29846]) ).

tff(c_33731,plain,
    sum(n2,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_33730]) ).

tff(c_33920,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33663,c_392,c_33701,c_33731]) ).

tff(c_33921,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33920,c_2155]) ).

tff(c_33671,plain,
    sum(n8,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_33652,c_538]) ).

tff(c_33729,plain,
    sum(sum(n3,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33700,c_29851]) ).

tff(c_33934,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33671,c_712,c_33701,c_33729]) ).

tff(c_33935,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_33921,c_33934]) ).

tff(c_33936,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_33650]) ).

tff(c_33938,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_33936]) ).

tff(c_33985,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_33938,c_860]) ).

tff(c_33987,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_33938,c_828]) ).

tff(c_34011,plain,
    sum(sum(n10,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_33987,c_29851]) ).

tff(c_34206,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_602,c_474,c_33985,c_34011]) ).

tff(c_34222,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34206,c_512]) ).

tff(c_378,plain,
    sum(n13,n12) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_468,plain,
    sum(n10,n15) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_34012,plain,
    sum(sum(n10,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_33987,c_29846]) ).

tff(c_34013,plain,
    sum(n9,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_468,c_34012]) ).

tff(c_34473,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34222,c_378,c_33985,c_34013]) ).

tff(c_34474,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_34473]) ).

tff(c_34475,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_33936]) ).

tff(c_34477,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_34475]) ).

tff(c_34526,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_34477,c_840]) ).

tff(c_34524,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_34477,c_872]) ).

tff(c_34546,plain,
    sum(sum(pred('#skF_1'),n6),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34524,c_29851]) ).

tff(c_34745,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_678,c_34526,c_34546]) ).

tff(c_34767,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34745,c_716]) ).

tff(c_660,plain,
    sum(n4,n15) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_390,plain,
    sum(n13,n6) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_34547,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_34524,c_29846]) ).

tff(c_34548,plain,
    sum(sum(pred('#skF_1'),n15),n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_34547]) ).

tff(c_35012,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_34767,c_660,c_34526,c_34548]) ).

tff(c_35013,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_35012]) ).

tff(c_35014,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_34475]) ).

tff(c_35016,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_35014]) ).

tff(c_35063,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_35016,c_862]) ).

tff(c_500,plain,
    sum(n9,n15) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_35064,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_35016,c_830]) ).

tff(c_35086,plain,
    sum(sum(n9,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35064,c_29846]) ).

tff(c_35087,plain,
    sum(n8,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_500,c_35086]) ).

tff(c_35284,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_380,c_35063,c_35087]) ).

tff(c_35307,plain,
    sum(n4,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35284,c_666]) ).

tff(c_35085,plain,
    sum(sum(n9,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35064,c_29851]) ).

tff(c_35556,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35307,c_508,c_35063,c_35085]) ).

tff(c_35557,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_35556]) ).

tff(c_35558,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_35014]) ).

tff(c_35560,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_35558]) ).

tff(c_35609,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_35560,c_870]) ).

tff(c_628,plain,
    sum(n5,n15) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_35610,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_35560,c_838]) ).

tff(c_35634,plain,
    sum(sum(n5,n15),sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35610,c_29846]) ).

tff(c_35635,plain,
    sum(n4,sum(n13,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_628,c_35634]) ).

tff(c_35828,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_388,c_35609,c_35635]) ).

tff(c_35875,plain,
    sum(n12,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_35828,c_410]) ).

tff(c_35633,plain,
    sum(sum(n5,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35610,c_29851]) ).

tff(c_36095,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_35875,c_644,c_35609,c_35633]) ).

tff(c_36096,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_36095]) ).

tff(c_36097,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_35558]) ).

tff(c_36099,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36097]) ).

tff(c_36147,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_36099,c_832]) ).

tff(c_382,plain,
    sum(n13,n10) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_36148,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_36099,c_864]) ).

tff(c_36173,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_36148,c_29846]) ).

tff(c_36174,plain,
    sum(sum(pred('#skF_1'),n15),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_382,c_36173]) ).

tff(c_36367,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_28899,c_532,c_36147,c_36174]) ).

tff(c_36394,plain,
    sum(n2,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_36367,c_28871]) ).

tff(c_36172,plain,
    sum(sum(pred('#skF_1'),n10),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36148,c_29851]) ).

tff(c_36649,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36394,c_542,c_36147,c_36172]) ).

tff(c_36650,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_36649]) ).

tff(c_36651,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_36097]) ).

tff(c_36653,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_36651]) ).

tff(c_36700,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_36653,c_836]) ).

tff(c_36703,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_36653,c_868]) ).

tff(c_36726,plain,
    sum(sum(pred('#skF_1'),n8),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36703,c_29851]) ).

tff(c_36921,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_28889,c_28887,c_36700,c_36726]) ).

tff(c_36948,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36921,c_648]) ).

tff(c_596,plain,
    sum(n6,n15) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_386,plain,
    sum(n13,n8) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_36727,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_36703,c_29846]) ).

tff(c_36728,plain,
    sum(sum(pred('#skF_1'),n15),n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_386,c_36727]) ).

tff(c_37188,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_36948,c_596,c_36700,c_36728]) ).

tff(c_37189,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_37188]) ).

tff(c_37190,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_36651]) ).

tff(c_37238,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_37190,c_834]) ).

tff(c_384,plain,
    sum(n13,n9) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_37240,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_37190,c_866]) ).

tff(c_37265,plain,
    sum(sum(pred('#skF_1'),n15),sum(n13,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37240,c_29846]) ).

tff(c_37266,plain,
    sum(sum(pred('#skF_1'),n15),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_37265]) ).

tff(c_37459,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_564,c_37238,c_37266]) ).

tff(c_37476,plain,
    sum(n0,'#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37459,c_37459,c_794]) ).

tff(c_37264,plain,
    sum(sum(pred('#skF_1'),n9),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37240,c_29851]) ).

tff(c_37726,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37476,c_37459,c_576,c_37238,c_37264]) ).

tff(c_37727,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_37726]) ).

tff(c_37728,plain,
    ( ( n13 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' )
    | ( n2 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_28853]) ).

tff(c_37730,plain,
    n2 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_37728]) ).

tff(c_37734,plain,
    sum(n9,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_512]) ).

tff(c_770,plain,
    sum(n1,n8) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_766,plain,
    sum(n1,n10) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_426,plain,
    sum(n12,n4) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_524,plain,
    sum(n9,n3) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_684,plain,
    sum(n4,n3) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_762,plain,
    sum(n1,n12) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_776,plain,
    sum(n1,n5) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_618,plain,
    sum(n6,n4) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_37760,plain,
    sum('#skF_2',n4) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_746]) ).

tff(c_490,plain,
    sum(n10,n4) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_37745,plain,
    sum(n0,'#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_37730,c_814]) ).

tff(c_37770,plain,
    sum(n1,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_784]) ).

tff(c_37733,plain,
    sum('#skF_2','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_37730,c_750]) ).

tff(c_37757,plain,
    sum(n15,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_332]) ).

tff(c_37779,plain,
    pred('#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_846]) ).

tff(c_37799,plain,
    ( ( n15 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_306]) ).

tff(c_37800,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_37799]) ).

tff(c_37846,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_37800,c_850]) ).

tff(c_37844,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_37800,c_882]) ).

tff(c_37776,plain,
    succ('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_878]) ).

tff(c_37866,plain,
    sum(sum(pred('#skF_1'),n3),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37776,c_302]) ).

tff(c_38252,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37733,c_37757,c_37770,c_37779,c_37846,c_37844,c_37866]) ).

tff(c_37822,plain,
    sum('#skF_1',n4) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_37800,c_810]) ).

tff(c_38260,plain,
    sum('#skF_1','#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38252,c_38252,c_37822]) ).

tff(c_38287,plain,
    sum(n1,n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38252,c_780]) ).

tff(c_37836,plain,
    sum(n15,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_37800,c_336]) ).

tff(c_37867,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n3)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37776,c_300]) ).

tff(c_38519,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38260,c_38287,c_37836,c_37779,c_37846,c_37844,c_37867]) ).

tff(c_38520,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_38519]) ).

tff(c_38521,plain,
    ( ( n1 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_37799]) ).

tff(c_38731,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_38521]) ).

tff(c_38781,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_38731,c_852]) ).

tff(c_38780,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_38731,c_820]) ).

tff(c_38527,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37779,c_302]) ).

tff(c_38726,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37776,c_38527]) ).

tff(c_38808,plain,
    sum(sum(n14,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38780,c_38726]) ).

tff(c_38810,plain,
    sum(n1,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_38808]) ).

tff(c_38999,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37770,c_786,c_38781,c_38810]) ).

tff(c_37774,plain,
    sum(n14,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_362]) ).

tff(c_39034,plain,
    sum(n14,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_38999,c_37774]) ).

tff(c_38528,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n1,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37779,c_300]) ).

tff(c_38721,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_37776,c_38528]) ).

tff(c_38809,plain,
    sum(sum(n14,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_38780,c_38721]) ).

tff(c_39281,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39034,c_370,c_38781,c_38809]) ).

tff(c_39282,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_39281]) ).

tff(c_39283,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_38521]) ).

tff(c_39285,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_39283]) ).

tff(c_37777,plain,
    succ(n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_880]) ).

tff(c_39292,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_39285,c_37777]) ).

tff(c_39336,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_39285,c_848]) ).

tff(c_39355,plain,
    sum(sum(n0,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39336,c_38721]) ).

tff(c_39552,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_37760,c_37745,c_39292,c_39355]) ).

tff(c_39573,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39552,c_716]) ).

tff(c_37754,plain,
    sum(n1,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_782]) ).

tff(c_39287,plain,
    sum('#skF_1','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_39285,c_37754]) ).

tff(c_39286,plain,
    sum(sum(pred('#skF_1'),n3),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_39285,c_38726]) ).

tff(c_39819,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39573,c_39287,c_39292,c_812,c_39336,c_39286]) ).

tff(c_39820,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_39819]) ).

tff(c_39821,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_39283]) ).

tff(c_39823,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_39821]) ).

tff(c_39871,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_39823,c_854]) ).

tff(c_39872,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_39823,c_822]) ).

tff(c_39897,plain,
    sum(sum(n13,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_39872,c_38721]) ).

tff(c_40091,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_372,c_39871,c_39897]) ).

tff(c_40127,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40091,c_40091,c_40091,c_818]) ).

tff(c_40115,plain,
    sum(n1,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40091,c_756]) ).

tff(c_39896,plain,
    sum(sum(n13,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_39872,c_38726]) ).

tff(c_39898,plain,
    sum(n0,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_396,c_39896]) ).

tff(c_40363,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40127,c_40115,c_40091,c_39871,c_39898]) ).

tff(c_40364,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_40363]) ).

tff(c_40365,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_39821]) ).

tff(c_40367,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_40365]) ).

tff(c_40413,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_40367,c_37776]) ).

tff(c_40415,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_40367,c_37779]) ).

tff(c_40446,plain,
    sum(sum(n1,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40415,c_38721]) ).

tff(c_40640,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_780,c_40413,c_40446]) ).

tff(c_40652,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40640,c_682]) ).

tff(c_40445,plain,
    sum(sum(n1,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_40415,c_38726]) ).

tff(c_40447,plain,
    sum(n4,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_780,c_40445]) ).

tff(c_40907,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40652,c_780,c_40413,c_40447]) ).

tff(c_40908,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_40907]) ).

tff(c_40909,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_40365]) ).

tff(c_40911,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_40909]) ).

tff(c_40960,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_40911,c_824]) ).

tff(c_40959,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_40911,c_856]) ).

tff(c_40981,plain,
    sum(sum(pred('#skF_1'),n14),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_40959,c_38721]) ).

tff(c_41179,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_490,c_406,c_40960,c_40981]) ).

tff(c_41210,plain,
    sum(n15,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41179,c_308]) ).

tff(c_428,plain,
    sum(n12,n3) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_758,plain,
    sum(n1,n14) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_40980,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n14)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_40959,c_38726]) ).

tff(c_40982,plain,
    sum(sum(pred('#skF_1'),n3),n15) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_40980]) ).

tff(c_41446,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41210,c_428,c_40960,c_40982]) ).

tff(c_41447,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_41446]) ).

tff(c_41448,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_40909]) ).

tff(c_41450,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_41448]) ).

tff(c_37778,plain,
    pred(n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_844]) ).

tff(c_41459,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_41450,c_37778]) ).

tff(c_41501,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_41450,c_876]) ).

tff(c_41524,plain,
    sum(sum(pred('#skF_1'),n4),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41501,c_38721]) ).

tff(c_41717,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_618,c_37760,c_41459,c_41524]) ).

tff(c_41747,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41717,c_648]) ).

tff(c_748,plain,
    sum(n2,n3) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_37748,plain,
    sum('#skF_2',n3) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_748]) ).

tff(c_41457,plain,
    sum('#skF_2','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_41450,c_37748]) ).

tff(c_778,plain,
    sum(n1,n4) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_41451,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_41450,c_38726]) ).

tff(c_41984,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_41747,c_41457,c_41459,c_778,c_41501,c_41451]) ).

tff(c_41985,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_41984]) ).

tff(c_41986,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_41448]) ).

tff(c_41988,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_41986]) ).

tff(c_42018,plain,
    sum(n14,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41988,c_342]) ).

tff(c_460,plain,
    sum(n11,n3) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_42037,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_41988,c_826]) ).

tff(c_760,plain,
    sum(n1,n13) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_42036,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_41988,c_858]) ).

tff(c_42061,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42036,c_38726]) ).

tff(c_42063,plain,
    sum(sum(pred('#skF_1'),n3),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_760,c_42061]) ).

tff(c_42256,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_42018,c_460,c_42037,c_42063]) ).

tff(c_42257,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42256,c_2155]) ).

tff(c_42013,plain,
    sum(n8,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_41988,c_554]) ).

tff(c_42062,plain,
    sum(sum(pred('#skF_1'),n13),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42036,c_38721]) ).

tff(c_42266,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42013,c_440,c_42037,c_42062]) ).

tff(c_42267,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_42257,c_42266]) ).

tff(c_42268,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_41986]) ).

tff(c_42270,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_42268]) ).

tff(c_42320,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_42270,c_874]) ).

tff(c_42319,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_42270,c_842]) ).

tff(c_42344,plain,
    sum(sum(n3,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42319,c_38726]) ).

tff(c_42345,plain,
    sum(n6,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_42344]) ).

tff(c_42538,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_776,c_42320,c_42345]) ).

tff(c_42296,plain,
    sum(n8,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_42270,c_554]) ).

tff(c_42539,plain,
    sum(n8,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42538,c_42296]) ).

tff(c_42271,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42270,c_38721]) ).

tff(c_42805,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42539,c_712,c_42320,c_42319,c_42271]) ).

tff(c_42806,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_42805]) ).

tff(c_42807,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_42268]) ).

tff(c_42809,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_42807]) ).

tff(c_42856,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_42809,c_860]) ).

tff(c_492,plain,
    sum(n10,n3) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_42858,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_42809,c_828]) ).

tff(c_42882,plain,
    sum(sum(n10,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_42858,c_38726]) ).

tff(c_42884,plain,
    sum(n13,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_492,c_42882]) ).

tff(c_43077,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_762,c_42856,c_42884]) ).

tff(c_43101,plain,
    sum(n6,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43077,c_618]) ).

tff(c_43096,plain,
    sum('#skF_3',n12) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_43077,c_474]) ).

tff(c_42883,plain,
    sum(sum(n10,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_42858,c_38721]) ).

tff(c_43344,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43101,c_43096,c_43077,c_42856,c_42883]) ).

tff(c_43345,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_43344]) ).

tff(c_43346,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_42807]) ).

tff(c_43348,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43346]) ).

tff(c_43397,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_43348,c_840]) ).

tff(c_774,plain,
    sum(n1,n6) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_43395,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_43348,c_872]) ).

tff(c_43417,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43395,c_38726]) ).

tff(c_43419,plain,
    sum(sum(pred('#skF_1'),n3),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_774,c_43417]) ).

tff(c_43616,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_684,c_43397,c_43419]) ).

tff(c_43659,plain,
    sum(n10,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43616,c_490]) ).

tff(c_43418,plain,
    sum(sum(pred('#skF_1'),n6),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43395,c_38721]) ).

tff(c_43883,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43659,c_678,c_43397,c_43418]) ).

tff(c_43884,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_43883]) ).

tff(c_43885,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43346]) ).

tff(c_43887,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_43885]) ).

tff(c_43935,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_43887,c_830]) ).

tff(c_764,plain,
    sum(n1,n11) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_43934,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_43887,c_862]) ).

tff(c_43956,plain,
    sum(sum(pred('#skF_1'),n3),sum(n1,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_43934,c_38726]) ).

tff(c_43958,plain,
    sum(sum(pred('#skF_1'),n3),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_764,c_43956]) ).

tff(c_44155,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_524,c_43935,c_43958]) ).

tff(c_44169,plain,
    sum(n4,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_44155,c_682]) ).

tff(c_43957,plain,
    sum(sum(pred('#skF_1'),n11),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_43934,c_38721]) ).

tff(c_44422,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44169,c_508,c_43935,c_43957]) ).

tff(c_44423,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_44422]) ).

tff(c_44424,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_43885]) ).

tff(c_44426,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44424]) ).

tff(c_44475,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_44426,c_870]) ).

tff(c_44476,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_44426,c_838]) ).

tff(c_44500,plain,
    sum(sum(n5,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44476,c_38721]) ).

tff(c_44694,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_644,c_44475,c_44500]) ).

tff(c_44736,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44694,c_546]) ).

tff(c_772,plain,
    sum(n1,n7) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_652,plain,
    sum(n5,n3) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_44499,plain,
    sum(sum(n5,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_44476,c_38726]) ).

tff(c_44501,plain,
    sum(n8,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_652,c_44499]) ).

tff(c_44966,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_44736,c_772,c_44475,c_44501]) ).

tff(c_44967,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_44966]) ).

tff(c_44968,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44424]) ).

tff(c_44970,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_44968]) ).

tff(c_45019,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_44970,c_864]) ).

tff(c_556,plain,
    sum(n8,n3) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_45018,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_44970,c_832]) ).

tff(c_45039,plain,
    sum(sum(n8,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_45018,c_38726]) ).

tff(c_45041,plain,
    sum(n11,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_45039]) ).

tff(c_45238,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_766,c_45019,c_45041]) ).

tff(c_45249,plain,
    sum('#skF_2',n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_45238,c_37760]) ).

tff(c_37761,plain,
    sum(n8,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37730,c_542]) ).

tff(c_45040,plain,
    sum(sum(n8,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45018,c_38721]) ).

tff(c_45505,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45249,c_37761,c_45019,c_45040]) ).

tff(c_45506,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_45505]) ).

tff(c_45507,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_44968]) ).

tff(c_45509,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_45507]) ).

tff(c_45559,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_45509,c_868]) ).

tff(c_620,plain,
    sum(n6,n3) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_45556,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_45509,c_836]) ).

tff(c_45582,plain,
    sum(sum(n6,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_45556,c_38726]) ).

tff(c_45584,plain,
    sum(n9,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_45582]) ).

tff(c_45777,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_37734,c_770,c_45559,c_45584]) ).

tff(c_45815,plain,
    sum(n14,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_45777,c_37774]) ).

tff(c_45583,plain,
    sum(sum(n6,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45556,c_38721]) ).

tff(c_46059,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_45815,c_610,c_45559,c_45583]) ).

tff(c_46060,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_46059]) ).

tff(c_46061,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_45507]) ).

tff(c_46111,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_46061,c_866]) ).

tff(c_588,plain,
    sum(n7,n3) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_46109,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_46061,c_834]) ).

tff(c_46131,plain,
    sum(sum(n7,n3),sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46109,c_38726]) ).

tff(c_46133,plain,
    sum(n10,sum(n1,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_46131]) ).

tff(c_46330,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_768,c_46111,c_46133]) ).

tff(c_46356,plain,
    sum(n0,'#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46330,c_46330,c_810]) ).

tff(c_46132,plain,
    sum(sum(n7,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46109,c_38721]) ).

tff(c_46597,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46356,c_46330,c_576,c_46111,c_46132]) ).

tff(c_46598,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_46597]) ).

tff(c_46599,plain,
    ( ( n3 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' )
    | ( n13 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_37728]) ).

tff(c_46601,plain,
    n13 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_46599]) ).

tff(c_46628,plain,
    sum(n11,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_440]) ).

tff(c_670,plain,
    sum(n4,n10) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_414,plain,
    sum(n12,n10) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_46615,plain,
    sum('#skF_2',n15) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_372]) ).

tff(c_46616,plain,
    sum('#skF_2','#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_46601,c_376]) ).

tff(c_46642,plain,
    sum(n12,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_432]) ).

tff(c_46624,plain,
    sum(n15,n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_310]) ).

tff(c_46648,plain,
    succ('#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_856]) ).

tff(c_46670,plain,
    ( ( n15 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' )
    | ( n0 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_306]) ).

tff(c_46671,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_46670]) ).

tff(c_46717,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_46671,c_850]) ).

tff(c_46715,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_46671,c_882]) ).

tff(c_46649,plain,
    pred('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_824]) ).

tff(c_46737,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46649,c_302]) ).

tff(c_47123,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46616,c_46642,c_46624,c_46648,c_46717,c_46715,c_46737]) ).

tff(c_46687,plain,
    sum('#skF_1',n10) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_46671,c_798]) ).

tff(c_47128,plain,
    sum('#skF_1','#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47123,c_47123,c_46687]) ).

tff(c_47168,plain,
    sum(n12,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47123,c_406]) ).

tff(c_46708,plain,
    sum(n15,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_46671,c_336]) ).

tff(c_46738,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n12,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46649,c_300]) ).

tff(c_47390,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47128,c_47168,c_46708,c_46648,c_46717,c_46715,c_46738]) ).

tff(c_47391,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_47390]) ).

tff(c_47392,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_46670]) ).

tff(c_47602,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_47392]) ).

tff(c_47652,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_47602,c_852]) ).

tff(c_47651,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_47602,c_820]) ).

tff(c_47398,plain,
    sum(sum(pred('#skF_1'),n14),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46648,c_302]) ).

tff(c_47597,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_46649,c_47398]) ).

tff(c_47679,plain,
    sum(sum(n14,n14),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47651,c_47597]) ).

tff(c_47681,plain,
    sum(n12,sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_47679]) ).

tff(c_47870,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_434,c_47652,c_47681]) ).

tff(c_47912,plain,
    sum(n14,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_47870,c_350]) ).

tff(c_47399,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n14)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_46648,c_300]) ).

tff(c_47592,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_406,c_46649,c_47399]) ).

tff(c_47680,plain,
    sum(sum(n14,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47651,c_47592]) ).

tff(c_48137,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_47912,c_370,c_47652,c_47680]) ).

tff(c_48138,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_48137]) ).

tff(c_48139,plain,
    ( ( n14 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_47392]) ).

tff(c_48141,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48139]) ).

tff(c_48191,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_48141,c_848]) ).

tff(c_48188,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_48141,c_880]) ).

tff(c_48211,plain,
    sum(sum(pred('#skF_1'),n2),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48188,c_47592]) ).

tff(c_48409,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_814,c_48191,c_48211]) ).

tff(c_48447,plain,
    sum(n14,n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48409,c_342]) ).

tff(c_48210,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_48188,c_47597]) ).

tff(c_48212,plain,
    sum(sum(pred('#skF_1'),n14),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_430,c_48210]) ).

tff(c_48676,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48447,c_790,c_48191,c_48212]) ).

tff(c_48677,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_48676]) ).

tff(c_48678,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48139]) ).

tff(c_48680,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_48678]) ).

tff(c_46650,plain,
    pred(n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_822]) ).

tff(c_48688,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_48680,c_46650]) ).

tff(c_48730,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_48680,c_854]) ).

tff(c_48754,plain,
    sum(sum(pred('#skF_1'),n15),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48730,c_47592]) ).

tff(c_48947,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_414,c_46615,c_48688,c_48754]) ).

tff(c_48976,plain,
    sum(n11,n11) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48947,c_444]) ).

tff(c_46618,plain,
    sum('#skF_2',n14) = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_374]) ).

tff(c_48687,plain,
    sum('#skF_2','#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_48680,c_46618]) ).

tff(c_48681,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_48680,c_47597]) ).

tff(c_49214,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_48976,c_48687,c_48688,c_404,c_48730,c_48681]) ).

tff(c_49215,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_49214]) ).

tff(c_49216,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_48678]) ).

tff(c_49218,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_49216]) ).

tff(c_49268,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_49218,c_846]) ).

tff(c_49265,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_49218,c_878]) ).

tff(c_49288,plain,
    sum(sum(pred('#skF_1'),n3),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49265,c_47592]) ).

tff(c_49486,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_780,c_49268,c_49288]) ).

tff(c_49517,plain,
    sum(n15,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49486,c_308]) ).

tff(c_49503,plain,
    sum(n1,'#skF_4') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_49486,c_758]) ).

tff(c_49287,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_49265,c_47597]) ).

tff(c_49289,plain,
    sum(sum(pred('#skF_1'),n14),n15) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_428,c_49287]) ).

tff(c_49753,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49517,c_49503,c_49486,c_49268,c_49289]) ).

tff(c_49754,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_49753]) ).

tff(c_49755,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_49216]) ).

tff(c_49757,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_49755]) ).

tff(c_49803,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_49757,c_46649]) ).

tff(c_49805,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_49757,c_46648]) ).

tff(c_49835,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n14)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_49805,c_47597]) ).

tff(c_49837,plain,
    sum(sum(pred('#skF_1'),n14),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_406,c_49835]) ).

tff(c_50030,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_406,c_49803,c_49837]) ).

tff(c_50054,plain,
    sum(n10,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_50030,c_478]) ).

tff(c_49836,plain,
    sum(sum(pred('#skF_1'),n14),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_49805,c_47592]) ).

tff(c_50297,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_50054,c_406,c_49803,c_49836]) ).

tff(c_50298,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_50297]) ).

tff(c_50299,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_49755]) ).

tff(c_50301,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_50299]) ).

tff(c_50351,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_50301,c_876]) ).

tff(c_50350,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_50301,c_844]) ).

tff(c_50378,plain,
    sum(sum(n2,n14),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_50350,c_47597]) ).

tff(c_50380,plain,
    sum(n0,sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_50378]) ).

tff(c_50569,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_426,c_50351,c_50380]) ).

tff(c_50612,plain,
    sum(n6,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_50569,c_606]) ).

tff(c_50379,plain,
    sum(sum(n2,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_50350,c_47592]) ).

tff(c_50841,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_50612,c_746,c_50351,c_50379]) ).

tff(c_50842,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_50841]) ).

tff(c_50843,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_50299]) ).

tff(c_50845,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_50843]) ).

tff(c_46647,plain,
    succ(n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_858]) ).

tff(c_50854,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_50845,c_46647]) ).

tff(c_50896,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_50845,c_826]) ).

tff(c_50915,plain,
    sum(sum(n11,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_50896,c_47592]) ).

tff(c_51112,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_46628,c_50854,c_50915]) ).

tff(c_51130,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_51112,c_512]) ).

tff(c_408,plain,
    sum(n12,n13) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_46644,plain,
    sum(n12,'#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_46601,c_408]) ).

tff(c_50848,plain,
    sum('#skF_1','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_50845,c_46644]) ).

tff(c_438,plain,
    sum(n11,n14) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_50846,plain,
    sum(sum(pred('#skF_1'),n14),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_50845,c_47597]) ).

tff(c_51379,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_51130,c_50848,c_50854,c_438,c_50896,c_50846]) ).

tff(c_51380,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_51379]) ).

tff(c_51381,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_50843]) ).

tff(c_51383,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_51381]) ).

tff(c_51431,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_51383,c_842]) ).

tff(c_51432,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_51383,c_874]) ).

tff(c_51461,plain,
    sum(sum(pred('#skF_1'),n5),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_51432,c_47592]) ).

tff(c_51651,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_712,c_51431,c_51461]) ).

tff(c_51696,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_51651,c_784]) ).

tff(c_694,plain,
    sum(n3,n14) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_424,plain,
    sum(n12,n5) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_51460,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_51432,c_47597]) ).

tff(c_51462,plain,
    sum(sum(pred('#skF_1'),n14),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_424,c_51460]) ).

tff(c_51918,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_51696,c_694,c_51431,c_51462]) ).

tff(c_51919,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_51918]) ).

tff(c_51920,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_51381]) ).

tff(c_51922,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_51920]) ).

tff(c_51969,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_51922,c_860]) ).

tff(c_51971,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_51922,c_828]) ).

tff(c_51995,plain,
    sum(sum(n10,n14),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_51971,c_47597]) ).

tff(c_51997,plain,
    sum(n8,sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_51995]) ).

tff(c_52190,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_410,c_51969,c_51997]) ).

tff(c_52234,plain,
    sum(n6,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_52190,c_606]) ).

tff(c_51996,plain,
    sum(sum(n10,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_51971,c_47592]) ).

tff(c_52462,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_52234,c_474,c_51969,c_51996]) ).

tff(c_52463,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_52462]) ).

tff(c_52464,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_51920]) ).

tff(c_52466,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_52464]) ).

tff(c_52515,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_52466,c_840]) ).

tff(c_422,plain,
    sum(n12,n6) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_52513,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_52466,c_872]) ).

tff(c_52539,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_52513,c_47597]) ).

tff(c_52541,plain,
    sum(sum(pred('#skF_1'),n14),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_422,c_52539]) ).

tff(c_52734,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_662,c_52515,c_52541]) ).

tff(c_52765,plain,
    sum(n10,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_52734,c_478]) ).

tff(c_52761,plain,
    sum('#skF_3',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_52734,c_678]) ).

tff(c_52741,plain,
    pred('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_52734,c_52515]) ).

tff(c_52540,plain,
    sum(sum(pred('#skF_1'),n6),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_52513,c_47592]) ).

tff(c_53006,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_52765,c_52761,c_52741,c_52540]) ).

tff(c_53007,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_53006]) ).

tff(c_53008,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_52464]) ).

tff(c_53010,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53008]) ).

tff(c_53059,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_53010,c_830]) ).

tff(c_412,plain,
    sum(n12,n11) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_53058,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_53010,c_862]) ).

tff(c_53080,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_53058,c_47597]) ).

tff(c_53081,plain,
    sum(sum(pred('#skF_1'),n14),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_412,c_53080]) ).

tff(c_53278,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_502,c_53059,c_53081]) ).

tff(c_53038,plain,
    sum(n4,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_53010,c_670]) ).

tff(c_53284,plain,
    sum(n4,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_53278,c_53038]) ).

tff(c_53011,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_53010,c_47592]) ).

tff(c_53545,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_53284,c_508,c_53059,c_53058,c_53011]) ).

tff(c_53546,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_53545]) ).

tff(c_53547,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53008]) ).

tff(c_53549,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53547]) ).

tff(c_53565,plain,
    sum(n3,n3) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_53549,c_716]) ).

tff(c_420,plain,
    sum(n12,n7) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_53598,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_53549,c_870]) ).

tff(c_630,plain,
    sum(n5,n14) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_53599,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_53549,c_838]) ).

tff(c_53626,plain,
    sum(sum(n5,n14),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_53599,c_47597]) ).

tff(c_53628,plain,
    sum(n3,sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_630,c_53626]) ).

tff(c_53817,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_53565,c_420,c_53598,c_53628]) ).

tff(c_53818,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_53817,c_2155]) ).

tff(c_53593,plain,
    sum(n12,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_53549,c_414]) ).

tff(c_53627,plain,
    sum(sum(n5,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_53599,c_47592]) ).

tff(c_53827,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_53593,c_644,c_53598,c_53627]) ).

tff(c_53828,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_53818,c_53827]) ).

tff(c_53829,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53547]) ).

tff(c_53831,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_53829]) ).

tff(c_53879,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_53831,c_832]) ).

tff(c_53880,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_53831,c_864]) ).

tff(c_53905,plain,
    sum(sum(pred('#skF_1'),n10),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_53880,c_47592]) ).

tff(c_54099,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_542,c_53879,c_53905]) ).

tff(c_54133,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_54099,c_614]) ).

tff(c_53904,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_53880,c_47597]) ).

tff(c_53906,plain,
    sum(sum(pred('#skF_1'),n14),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_414,c_53904]) ).

tff(c_54366,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_54133,c_534,c_53879,c_53906]) ).

tff(c_54367,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_54366]) ).

tff(c_54368,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_53829]) ).

tff(c_54370,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_54368]) ).

tff(c_54417,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_54370,c_836]) ).

tff(c_418,plain,
    sum(n12,n8) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_54420,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_54370,c_868]) ).

tff(c_54443,plain,
    sum(sum(pred('#skF_1'),n14),sum(n12,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_54420,c_47597]) ).

tff(c_54445,plain,
    sum(sum(pred('#skF_1'),n14),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_54443]) ).

tff(c_54638,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_598,c_54417,c_54445]) ).

tff(c_54681,plain,
    sum(n14,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_54638,c_350]) ).

tff(c_54680,plain,
    sum(n6,'#skF_3') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_54638,c_610]) ).

tff(c_54444,plain,
    sum(sum(pred('#skF_1'),n8),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_54420,c_47592]) ).

tff(c_54910,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_54681,c_54680,c_54638,c_54417,c_54444]) ).

tff(c_54911,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_54910]) ).

tff(c_54912,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_54368]) ).

tff(c_54962,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_54912,c_866]) ).

tff(c_54960,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_54912,c_834]) ).

tff(c_54983,plain,
    sum(sum(n7,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_54960,c_47592]) ).

tff(c_55181,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_798,c_576,c_54962,c_54983]) ).

tff(c_55207,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55181,c_648]) ).

tff(c_416,plain,
    sum(n12,n9) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_566,plain,
    sum(n7,n14) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_54982,plain,
    sum(sum(n7,n14),sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_54960,c_47597]) ).

tff(c_54984,plain,
    sum(n5,sum(n12,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_54982]) ).

tff(c_55448,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55207,c_416,c_54962,c_54984]) ).

tff(c_55449,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_55448]) ).

tff(c_55450,plain,
    ( ( n12 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' )
    | ( n3 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_46599]) ).

tff(c_61139,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55450]) ).

tff(c_61141,plain,
    sum('#skF_2',n5) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_712]) ).

tff(c_458,plain,
    sum(n11,n4) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_61167,plain,
    sum(n1,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_780]) ).

tff(c_742,plain,
    sum(n2,n6) = n8,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_55452,plain,
    n0 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_306]) ).

tff(c_55487,plain,
    sum('#skF_1','#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_55452,c_55452,c_818]) ).

tff(c_55466,plain,
    sum(n7,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_576]) ).

tff(c_55459,plain,
    sum('#skF_1',n14) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_790]) ).

tff(c_55477,plain,
    sum('#skF_1',n2) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_814]) ).

tff(c_55458,plain,
    sum('#skF_1',n12) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_794]) ).

tff(c_55476,plain,
    sum('#skF_1',n4) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_810]) ).

tff(c_55470,plain,
    sum('#skF_1',n10) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_798]) ).

tff(c_55497,plain,
    sum('#skF_1',n6) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_806]) ).

tff(c_55485,plain,
    sum('#skF_1',n8) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_802]) ).

tff(c_55735,plain,
    n3 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_55450]) ).

tff(c_55785,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_55735,c_876]) ).

tff(c_55784,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_55735,c_844]) ).

tff(c_55492,plain,
    sum(n15,n1) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_336]) ).

tff(c_55502,plain,
    pred('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_850]) ).

tff(c_55500,plain,
    succ('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_882]) ).

tff(c_55528,plain,
    sum(sum(pred('#skF_1'),n1),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55500,c_300]) ).

tff(c_55725,plain,
    sum('#skF_1',sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55492,c_55502,c_55528]) ).

tff(c_55809,plain,
    sum('#skF_1',sum(n2,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55784,c_55725]) ).

tff(c_56002,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55497,c_746,c_55785,c_55809]) ).

tff(c_55745,plain,
    sum('#skF_2','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_55735,c_55735,c_716]) ).

tff(c_56007,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_56002,c_55745]) ).

tff(c_55772,plain,
    sum(n15,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_55735,c_330]) ).

tff(c_55754,plain,
    sum(n2,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_55735,c_752]) ).

tff(c_55527,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_55500,c_302]) ).

tff(c_55730,plain,
    sum(sum(n15,succ('#skF_2')),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_55502,c_55527]) ).

tff(c_55808,plain,
    sum(sum(n15,succ('#skF_2')),sum(n2,n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_55784,c_55730]) ).

tff(c_56269,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_56007,c_55772,c_55754,c_55785,c_55808]) ).

tff(c_56270,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_56269]) ).

tff(c_56271,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_55450]) ).

tff(c_56273,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_56271]) ).

tff(c_56322,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_56273,c_826]) ).

tff(c_56321,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_56273,c_858]) ).

tff(c_56343,plain,
    sum('#skF_1',sum(pred('#skF_2'),n13)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_56321,c_55725]) ).

tff(c_56540,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55485,c_440,c_56322,c_56343]) ).

tff(c_56313,plain,
    sum('#skF_2','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_56273,c_56273,c_410]) ).

tff(c_56545,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_56540,c_56313]) ).

tff(c_56319,plain,
    sum(n11,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_56273,c_464]) ).

tff(c_56318,plain,
    sum(n15,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_56273,c_312]) ).

tff(c_56342,plain,
    sum(sum(n15,n13),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_56321,c_55730]) ).

tff(c_56807,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_56545,c_56319,c_56318,c_56322,c_56342]) ).

tff(c_56808,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_56807]) ).

tff(c_56809,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_56271]) ).

tff(c_56811,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_56809]) ).

tff(c_56860,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_56811,c_874]) ).

tff(c_56859,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_56811,c_842]) ).

tff(c_56881,plain,
    sum('#skF_1',sum(n3,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_56859,c_55725]) ).

tff(c_57078,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55485,c_712,c_56860,c_56881]) ).

tff(c_56823,plain,
    sum('#skF_2','#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_56811,c_56811,c_682]) ).

tff(c_57082,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_57078,c_56823]) ).

tff(c_56819,plain,
    sum(n3,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_56811,c_720]) ).

tff(c_56822,plain,
    sum(n15,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_56811,c_328]) ).

tff(c_56880,plain,
    sum(sum(n15,succ('#skF_2')),sum(n3,n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_56859,c_55730]) ).

tff(c_57345,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_57082,c_56819,c_56822,c_56860,c_56880]) ).

tff(c_57346,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_57345]) ).

tff(c_57347,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_56809]) ).

tff(c_57349,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_57347]) ).

tff(c_57398,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_57349,c_828]) ).

tff(c_57396,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_57349,c_860]) ).

tff(c_57419,plain,
    sum('#skF_1',sum(pred('#skF_2'),n12)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_57396,c_55725]) ).

tff(c_57616,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55497,c_474,c_57398,c_57419]) ).

tff(c_57371,plain,
    sum('#skF_2','#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_57349,c_57349,c_444]) ).

tff(c_57619,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_57616,c_57371]) ).

tff(c_57381,plain,
    sum(n10,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_57349,c_496]) ).

tff(c_57368,plain,
    sum(n15,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_57349,c_314]) ).

tff(c_57418,plain,
    sum(sum(n15,n12),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_57396,c_55730]) ).

tff(c_57883,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_57619,c_57381,c_57368,c_57398,c_57418]) ).

tff(c_57884,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_57883]) ).

tff(c_57885,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_57347]) ).

tff(c_57887,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_57885]) ).

tff(c_57936,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_57887,c_840]) ).

tff(c_57934,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_57887,c_872]) ).

tff(c_57957,plain,
    sum('#skF_1',sum(pred('#skF_2'),n6)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_57934,c_55725]) ).

tff(c_58154,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55470,c_678,c_57936,c_57957]) ).

tff(c_57912,plain,
    sum('#skF_2','#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_57887,c_57887,c_648]) ).

tff(c_58155,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_58154,c_57912]) ).

tff(c_57930,plain,
    sum(n4,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_57887,c_688]) ).

tff(c_57898,plain,
    sum(n15,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_57887,c_326]) ).

tff(c_57956,plain,
    sum(sum(n15,n6),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_57934,c_55730]) ).

tff(c_58421,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_58155,c_57930,c_57898,c_57936,c_57956]) ).

tff(c_58422,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_58421]) ).

tff(c_58423,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_57885]) ).

tff(c_58425,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_58423]) ).

tff(c_58473,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_58425,c_830]) ).

tff(c_58472,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_58425,c_862]) ).

tff(c_58495,plain,
    sum('#skF_1',sum(pred('#skF_2'),n11)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_58472,c_55725]) ).

tff(c_58692,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55476,c_508,c_58473,c_58495]) ).

tff(c_58443,plain,
    sum('#skF_2','#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_58425,c_58425,c_478]) ).

tff(c_58694,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_58692,c_58443]) ).

tff(c_58465,plain,
    sum(n15,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_58425,c_316]) ).

tff(c_58449,plain,
    sum(n9,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_58425,c_528]) ).

tff(c_58494,plain,
    sum(sum(n15,n11),sum(pred('#skF_2'),n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_58472,c_55730]) ).

tff(c_58959,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_58694,c_58465,c_58449,c_58473,c_58494]) ).

tff(c_58960,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_58959]) ).

tff(c_58961,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_58423]) ).

tff(c_58963,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_58961]) ).

tff(c_59012,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_58963,c_870]) ).

tff(c_59013,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_58963,c_838]) ).

tff(c_59037,plain,
    sum('#skF_1',sum(n5,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_59013,c_55725]) ).

tff(c_59230,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55458,c_644,c_59012,c_59037]) ).

tff(c_58989,plain,
    sum('#skF_2','#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_58963,c_58963,c_614]) ).

tff(c_59235,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_59230,c_58989]) ).

tff(c_58993,plain,
    sum(n15,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_58963,c_324]) ).

tff(c_58979,plain,
    sum(n5,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_58963,c_656]) ).

tff(c_59036,plain,
    sum(sum(n15,succ('#skF_2')),sum(n5,n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_59013,c_55730]) ).

tff(c_59497,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_59235,c_58993,c_58979,c_59012,c_59036]) ).

tff(c_59498,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_59497]) ).

tff(c_59499,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_58961]) ).

tff(c_59501,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_59499]) ).

tff(c_59550,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_59501,c_864]) ).

tff(c_59549,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_59501,c_832]) ).

tff(c_59571,plain,
    sum('#skF_1',sum(n8,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_59549,c_55725]) ).

tff(c_59768,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55477,c_542,c_59550,c_59571]) ).

tff(c_59511,plain,
    sum('#skF_2','#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_59501,c_59501,c_512]) ).

tff(c_59773,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_59768,c_59511]) ).

tff(c_59524,plain,
    sum(n8,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_59501,c_560]) ).

tff(c_59538,plain,
    sum(n15,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_59501,c_318]) ).

tff(c_59570,plain,
    sum(sum(n15,succ('#skF_2')),sum(n8,n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_59549,c_55730]) ).

tff(c_60035,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_59773,c_59524,c_59538,c_59550,c_59570]) ).

tff(c_60036,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_60035]) ).

tff(c_60037,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_59499]) ).

tff(c_60039,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_60037]) ).

tff(c_60089,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_60039,c_868]) ).

tff(c_60086,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_60039,c_836]) ).

tff(c_60113,plain,
    sum('#skF_1',sum(n6,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_60086,c_55725]) ).

tff(c_60306,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55459,c_610,c_60089,c_60113]) ).

tff(c_60085,plain,
    sum('#skF_2','#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_60039,c_60039,c_580]) ).

tff(c_60311,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_60306,c_60085]) ).

tff(c_60058,plain,
    sum(n15,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_60039,c_322]) ).

tff(c_60064,plain,
    sum(n6,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_60039,c_624]) ).

tff(c_60112,plain,
    sum(sum(n15,succ('#skF_2')),sum(n6,n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_60086,c_55730]) ).

tff(c_60573,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_60311,c_60058,c_60064,c_60089,c_60112]) ).

tff(c_60574,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_60573]) ).

tff(c_60575,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_60037]) ).

tff(c_60625,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_60575,c_866]) ).

tff(c_60623,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_60575,c_834]) ).

tff(c_60646,plain,
    sum('#skF_1',sum(n7,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_60623,c_55725]) ).

tff(c_60843,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_55487,c_55466,c_60625,c_60646]) ).

tff(c_55490,plain,
    sum(n8,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_55452,c_546]) ).

tff(c_60579,plain,
    sum('#skF_2','#skF_2') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_60575,c_60575,c_55490]) ).

tff(c_60844,plain,
    sum('#skF_2','#skF_2') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_60843,c_60579]) ).

tff(c_60584,plain,
    sum(n15,n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_60575,c_320]) ).

tff(c_60583,plain,
    sum(n7,n1) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_60575,c_592]) ).

tff(c_60645,plain,
    sum(sum(n15,succ('#skF_2')),sum(n7,n1)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_60623,c_55730]) ).

tff(c_61135,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_60844,c_60584,c_60583,c_60625,c_60645]) ).

tff(c_61136,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_61135]) ).

tff(c_61137,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_306]) ).

tff(c_61416,plain,
    ( ( n1 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' )
    | ( n15 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_61137]) ).

tff(c_61417,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_61416]) ).

tff(c_61467,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_61417,c_852]) ).

tff(c_61466,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_61417,c_820]) ).

tff(c_61188,plain,
    succ('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_876]) ).

tff(c_61187,plain,
    pred('#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_844]) ).

tff(c_61209,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n2,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_61187,c_300]) ).

tff(c_61411,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_61188,c_61209]) ).

tff(c_61494,plain,
    sum(sum(n14,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_61466,c_61411]) ).

tff(c_61685,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_358,c_370,c_61467,c_61494]) ).

tff(c_61702,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_61685,c_750]) ).

tff(c_61208,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_61187,c_302]) ).

tff(c_61406,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_61188,c_61208]) ).

tff(c_61495,plain,
    sum(sum(n14,n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_61466,c_61406]) ).

tff(c_61496,plain,
    sum(n2,sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_362,c_61495]) ).

tff(c_61952,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_61702,c_754,c_61467,c_61496]) ).

tff(c_61953,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_61952]) ).

tff(c_61954,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_61416]) ).

tff(c_61956,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_61954]) ).

tff(c_62006,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_61956,c_848]) ).

tff(c_62003,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_61956,c_880]) ).

tff(c_62025,plain,
    sum(sum(pred('#skF_1'),n2),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_62003,c_61411]) ).

tff(c_62224,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_742,c_814,c_62006,c_62025]) ).

tff(c_62242,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_62224,c_682]) ).

tff(c_62026,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_62003,c_61406]) ).

tff(c_62027,plain,
    sum(sum(pred('#skF_1'),n4),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_62026]) ).

tff(c_62491,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_62242,c_810,c_62006,c_62027]) ).

tff(c_62492,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_62491]) ).

tff(c_62493,plain,
    ( ( n2 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_61954]) ).

tff(c_62495,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_62493]) ).

tff(c_62544,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_62495,c_822]) ).

tff(c_62543,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_62495,c_854]) ).

tff(c_62568,plain,
    sum(sum(pred('#skF_1'),n15),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_62543,c_61411]) ).

tff(c_62763,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_422,c_372,c_62544,c_62568]) ).

tff(c_62810,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_62763,c_784]) ).

tff(c_62569,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_62543,c_61406]) ).

tff(c_62570,plain,
    sum(sum(pred('#skF_1'),n4),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_62569]) ).

tff(c_63030,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_62810,c_394,c_62544,c_62570]) ).

tff(c_63031,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_63030]) ).

tff(c_63032,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_62493]) ).

tff(c_63034,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_63032]) ).

tff(c_61185,plain,
    succ(n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_878]) ).

tff(c_63042,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_63034,c_61185]) ).

tff(c_63085,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_63034,c_846]) ).

tff(c_63104,plain,
    sum(sum(n1,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_63085,c_61411]) ).

tff(c_63301,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_61167,c_63042,c_63104]) ).

tff(c_63331,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_63301,c_648]) ).

tff(c_61157,plain,
    sum(n2,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_748]) ).

tff(c_63037,plain,
    sum('#skF_1','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_63034,c_61157]) ).

tff(c_63035,plain,
    sum(sum(pred('#skF_1'),n4),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_63034,c_61406]) ).

tff(c_63568,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_63331,c_63037,c_63042,c_778,c_63085,c_63035]) ).

tff(c_63569,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_63568]) ).

tff(c_63570,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63032]) ).

tff(c_63572,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_63570]) ).

tff(c_63620,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_63572,c_856]) ).

tff(c_63621,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_63572,c_824]) ).

tff(c_63646,plain,
    sum(sum(n12,n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_63621,c_61406]) ).

tff(c_63647,plain,
    sum(n0,sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_426,c_63646]) ).

tff(c_63840,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_726,c_63620,c_63647]) ).

tff(c_63870,plain,
    sum(n10,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_63840,c_486]) ).

tff(c_63645,plain,
    sum(sum(n12,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_63621,c_61411]) ).

tff(c_64112,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_63870,c_406,c_63620,c_63645]) ).

tff(c_64113,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_64112]) ).

tff(c_64114,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_63570]) ).

tff(c_64116,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_64114]) ).

tff(c_64165,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_64116,c_61187]) ).

tff(c_64164,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_64116,c_61188]) ).

tff(c_64194,plain,
    sum(sum(pred('#skF_1'),n4),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_64164,c_61411]) ).

tff(c_64389,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_746,c_64165,c_64194]) ).

tff(c_64417,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_64389,c_614]) ).

tff(c_64195,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n4)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_64164,c_61406]) ).

tff(c_64196,plain,
    sum(sum(pred('#skF_1'),n4),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_64195]) ).

tff(c_64656,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_64417,c_746,c_64165,c_64196]) ).

tff(c_64657,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_64656]) ).

tff(c_64658,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_64114]) ).

tff(c_64660,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_64658]) ).

tff(c_64709,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_64660,c_826]) ).

tff(c_728,plain,
    sum(n2,n13) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_64708,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_64660,c_858]) ).

tff(c_64730,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_64708,c_61406]) ).

tff(c_64731,plain,
    sum(sum(pred('#skF_1'),n4),n15) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_64730]) ).

tff(c_64928,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_308,c_458,c_64709,c_64731]) ).

tff(c_64972,plain,
    sum(n8,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_64928,c_550]) ).

tff(c_64729,plain,
    sum(sum(pred('#skF_1'),n13),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_64708,c_61411]) ).

tff(c_65195,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_64972,c_440,c_64709,c_64729]) ).

tff(c_65196,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_65195]) ).

tff(c_65197,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_64658]) ).

tff(c_65199,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_65197]) ).

tff(c_61186,plain,
    pred(n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_842]) ).

tff(c_65207,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_65199,c_61186]) ).

tff(c_65250,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_65199,c_874]) ).

tff(c_65273,plain,
    sum(sum(pred('#skF_1'),n5),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_65250,c_61411]) ).

tff(c_65466,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_61141,c_65207,c_65273]) ).

tff(c_65513,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_65466,c_580]) ).

tff(c_714,plain,
    sum(n3,n4) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_61171,plain,
    sum('#skF_2',n4) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_61139,c_714]) ).

tff(c_65202,plain,
    sum('#skF_2','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_65199,c_61171]) ).

tff(c_744,plain,
    sum(n2,n5) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_65200,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_65199,c_61406]) ).

tff(c_65733,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_65513,c_65202,c_65207,c_744,c_65250,c_65200]) ).

tff(c_65734,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_65733]) ).

tff(c_65735,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_65197]) ).

tff(c_65737,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_65735]) ).

tff(c_65784,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_65737,c_860]) ).

tff(c_65786,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_65737,c_828]) ).

tff(c_65810,plain,
    sum(sum(n10,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_65786,c_61411]) ).

tff(c_66005,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_474,c_65784,c_65810]) ).

tff(c_66042,plain,
    sum(n14,n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66005,c_342]) ).

tff(c_66036,plain,
    sum(n2,'#skF_4') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_66005,c_730]) ).

tff(c_66012,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66005,c_65784]) ).

tff(c_65811,plain,
    sum(sum(n10,n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_65786,c_61406]) ).

tff(c_65812,plain,
    sum(n14,sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_490,c_65811]) ).

tff(c_66272,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66042,c_66036,c_66012,c_65812]) ).

tff(c_66273,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_66272]) ).

tff(c_66274,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_65735]) ).

tff(c_66276,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_66274]) ).

tff(c_66325,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_66276,c_840]) ).

tff(c_66323,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_66276,c_872]) ).

tff(c_66345,plain,
    sum(sum(pred('#skF_1'),n6),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66323,c_61411]) ).

tff(c_66544,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_678,c_66325,c_66345]) ).

tff(c_66584,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66544,c_546]) ).

tff(c_66346,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_66323,c_61406]) ).

tff(c_66347,plain,
    sum(sum(pred('#skF_1'),n4),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_742,c_66346]) ).

tff(c_66821,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66584,c_682,c_66325,c_66347]) ).

tff(c_66822,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_66821]) ).

tff(c_66823,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_66274]) ).

tff(c_66825,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_66823]) ).

tff(c_66844,plain,
    sum(n13,n13) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_66825,c_376]) ).

tff(c_522,plain,
    sum(n9,n4) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_66873,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_66825,c_830]) ).

tff(c_732,plain,
    sum(n2,n11) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_66872,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_66825,c_862]) ).

tff(c_66895,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_66872,c_61406]) ).

tff(c_66896,plain,
    sum(sum(pred('#skF_1'),n4),n13) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_66895]) ).

tff(c_67093,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_66844,c_522,c_66873,c_66896]) ).

tff(c_67094,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_67093,c_2155]) ).

tff(c_66842,plain,
    sum(n4,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_66825,c_678]) ).

tff(c_66894,plain,
    sum(sum(pred('#skF_1'),n11),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66872,c_61411]) ).

tff(c_67107,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_66842,c_508,c_66873,c_66894]) ).

tff(c_67108,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_67094,c_67107]) ).

tff(c_67109,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_66823]) ).

tff(c_67111,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_67109]) ).

tff(c_67161,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_67111,c_870]) ).

tff(c_650,plain,
    sum(n5,n4) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_67162,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_67111,c_838]) ).

tff(c_67189,plain,
    sum(sum(n5,n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_67162,c_61406]) ).

tff(c_67190,plain,
    sum(n9,sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_650,c_67189]) ).

tff(c_67379,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_740,c_67161,c_67190]) ).

tff(c_67127,plain,
    sum(n12,'#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_67111,c_422]) ).

tff(c_67383,plain,
    sum(n12,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_67379,c_67127]) ).

tff(c_67112,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_67111,c_61411]) ).

tff(c_67646,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_67383,c_644,c_67161,c_67162,c_67112]) ).

tff(c_67647,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_67646]) ).

tff(c_67648,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_67109]) ).

tff(c_67650,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_67648]) ).

tff(c_67698,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_67650,c_832]) ).

tff(c_67699,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_67650,c_864]) ).

tff(c_67724,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_67699,c_61406]) ).

tff(c_67725,plain,
    sum(sum(pred('#skF_1'),n4),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_67724]) ).

tff(c_67918,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_554,c_67698,c_67725]) ).

tff(c_67937,plain,
    sum(n2,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_67918,c_742]) ).

tff(c_67958,plain,
    sum('#skF_3',n10) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_67918,c_542]) ).

tff(c_67925,plain,
    pred('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_67918,c_67698]) ).

tff(c_67723,plain,
    sum(sum(pred('#skF_1'),n10),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_67699,c_61411]) ).

tff(c_68185,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_67937,c_67958,c_67925,c_67723]) ).

tff(c_68186,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_68185]) ).

tff(c_68187,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_67648]) ).

tff(c_68189,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_68187]) ).

tff(c_68236,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_68189,c_836]) ).

tff(c_68239,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_68189,c_868]) ).

tff(c_68258,plain,
    sum(sum(pred('#skF_1'),n8),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_68239,c_61411]) ).

tff(c_68457,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_358,c_610,c_68236,c_68258]) ).

tff(c_68485,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_68457,c_478]) ).

tff(c_68481,plain,
    sum(n6,'#skF_4') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_68457,c_618]) ).

tff(c_68259,plain,
    sum(sum(pred('#skF_1'),n4),sum(n2,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_68239,c_61406]) ).

tff(c_68260,plain,
    sum(sum(pred('#skF_1'),n4),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_738,c_68259]) ).

tff(c_68724,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_68485,c_68481,c_68457,c_68236,c_68260]) ).

tff(c_68725,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_68724]) ).

tff(c_68726,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_68187]) ).

tff(c_68776,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_68726,c_866]) ).

tff(c_586,plain,
    sum(n7,n4) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_68774,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_68726,c_834]) ).

tff(c_68797,plain,
    sum(sum(n7,n4),sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_68774,c_61406]) ).

tff(c_68798,plain,
    sum(n11,sum(n2,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_586,c_68797]) ).

tff(c_68995,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_736,c_68776,c_68798]) ).

tff(c_69039,plain,
    sum(n0,'#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_68995,c_68995,c_806]) ).

tff(c_68796,plain,
    sum(sum(n7,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_68774,c_61411]) ).

tff(c_69262,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_69039,c_68995,c_576,c_68776,c_68796]) ).

tff(c_69263,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_69262]) ).

tff(c_69264,plain,
    ( ( n4 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' )
    | ( n12 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_55450]) ).

tff(c_74399,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_69264]) ).

tff(c_75199,plain,
    sum('#skF_2',n8) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_418]) ).

tff(c_75178,plain,
    sum(n5,n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_644]) ).

tff(c_674,plain,
    sum(n4,n8) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_75195,plain,
    sum(n4,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_674]) ).

tff(c_75180,plain,
    sum(n10,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_474]) ).

tff(c_75217,plain,
    sum('#skF_2',n14) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_406]) ).

tff(c_75204,plain,
    sum(n14,n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_342]) ).

tff(c_75190,plain,
    sum(n13,n15) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_372]) ).

tff(c_69544,plain,
    n12 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_69264]) ).

tff(c_69593,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_69544,c_826]) ).

tff(c_69592,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_69544,c_858]) ).

tff(c_69266,plain,
    n15 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_61137]) ).

tff(c_69315,plain,
    pred('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_69266,c_820]) ).

tff(c_69316,plain,
    succ('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_69266,c_852]) ).

tff(c_69344,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_69316,c_302]) ).

tff(c_69534,plain,
    sum(sum(n14,succ('#skF_2')),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_69315,c_69344]) ).

tff(c_69622,plain,
    sum(sum(n14,n13),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_69592,c_69534]) ).

tff(c_69623,plain,
    sum(n11,sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_344,c_69622]) ).

tff(c_69812,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_466,c_69593,c_69623]) ).

tff(c_69840,plain,
    sum(n14,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_69812,c_354]) ).

tff(c_69345,plain,
    sum(sum(pred('#skF_1'),n0),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_69316,c_300]) ).

tff(c_69539,plain,
    sum(n14,sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_69315,c_69345]) ).

tff(c_69621,plain,
    sum(n14,sum(pred('#skF_2'),n13)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_69592,c_69539]) ).

tff(c_70079,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_69840,c_440,c_69593,c_69621]) ).

tff(c_70080,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_70079]) ).

tff(c_70081,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_69264]) ).

tff(c_70083,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_70081]) ).

tff(c_70131,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_70083,c_842]) ).

tff(c_70132,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_70083,c_874]) ).

tff(c_70160,plain,
    sum(n14,sum(pred('#skF_2'),n5)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_70132,c_69539]) ).

tff(c_70351,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_712,c_70131,c_70160]) ).

tff(c_70370,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_70351,c_716]) ).

tff(c_70161,plain,
    sum(sum(n14,n5),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_70132,c_69534]) ).

tff(c_70162,plain,
    sum(n3,sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_360,c_70161]) ).

tff(c_70618,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_70370,c_722,c_70131,c_70162]) ).

tff(c_70619,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_70618]) ).

tff(c_70620,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_70081]) ).

tff(c_70622,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_70620]) ).

tff(c_70671,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_70622,c_828]) ).

tff(c_70669,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_70622,c_860]) ).

tff(c_70692,plain,
    sum(sum(n14,n12),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_70669,c_69534]) ).

tff(c_70693,plain,
    sum(n10,sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_70692]) ).

tff(c_70890,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_498,c_70671,c_70693]) ).

tff(c_70933,plain,
    sum(n14,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_70890,c_358]) ).

tff(c_70691,plain,
    sum(n14,sum(pred('#skF_2'),n12)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_70669,c_69539]) ).

tff(c_71157,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_70933,c_474,c_70671,c_70691]) ).

tff(c_71158,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_71157]) ).

tff(c_71159,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_70620]) ).

tff(c_71161,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_71159]) ).

tff(c_71208,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_71161,c_872]) ).

tff(c_71210,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_71161,c_840]) ).

tff(c_71234,plain,
    sum(n14,sum(n4,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_71210,c_69539]) ).

tff(c_71429,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_678,c_71208,c_71234]) ).

tff(c_71447,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_71429,c_682]) ).

tff(c_71235,plain,
    sum(sum(n14,succ('#skF_2')),sum(n4,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_71210,c_69534]) ).

tff(c_71236,plain,
    sum(sum(n14,succ('#skF_2')),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_71235]) ).

tff(c_71696,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_71447,c_358,c_71208,c_71236]) ).

tff(c_71697,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_71696]) ).

tff(c_71698,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_71159]) ).

tff(c_71700,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_71698]) ).

tff(c_71748,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_71700,c_830]) ).

tff(c_71747,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_71700,c_862]) ).

tff(c_71770,plain,
    sum(sum(n14,n11),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_71747,c_69534]) ).

tff(c_71771,plain,
    sum(n9,sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_348,c_71770]) ).

tff(c_71968,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_530,c_71748,c_71771]) ).

tff(c_72014,plain,
    sum(n14,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_71968,c_362]) ).

tff(c_71769,plain,
    sum(n14,sum(pred('#skF_2'),n11)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_71747,c_69539]) ).

tff(c_72235,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_72014,c_508,c_71748,c_71769]) ).

tff(c_72236,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_72235]) ).

tff(c_72237,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_71698]) ).

tff(c_72239,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_72237]) ).

tff(c_72289,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_72239,c_838]) ).

tff(c_72288,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_72239,c_870]) ).

tff(c_72313,plain,
    sum(sum(n14,n7),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_72288,c_69534]) ).

tff(c_72314,plain,
    sum(n5,sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_356,c_72313]) ).

tff(c_72507,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_658,c_72289,c_72314]) ).

tff(c_72545,plain,
    sum(n14,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_72507,c_346]) ).

tff(c_72312,plain,
    sum(n14,sum(pred('#skF_2'),n7)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_72288,c_69539]) ).

tff(c_72774,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_72545,c_644,c_72289,c_72312]) ).

tff(c_72775,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_72774]) ).

tff(c_72776,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_72237]) ).

tff(c_72778,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_72776]) ).

tff(c_72827,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_72778,c_864]) ).

tff(c_72826,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_72778,c_832]) ).

tff(c_72847,plain,
    sum(n14,sum(n8,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_72826,c_69539]) ).

tff(c_73046,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_542,c_72827,c_72847]) ).

tff(c_73088,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_73046,c_546]) ).

tff(c_72848,plain,
    sum(sum(n14,succ('#skF_2')),sum(n8,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_72826,c_69534]) ).

tff(c_72849,plain,
    sum(sum(n14,succ('#skF_2')),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_72848]) ).

tff(c_73318,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_73088,c_350,c_72827,c_72849]) ).

tff(c_73319,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_73318]) ).

tff(c_73320,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_72776]) ).

tff(c_73322,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_73320]) ).

tff(c_73372,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_73322,c_868]) ).

tff(c_73369,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_73322,c_836]) ).

tff(c_73396,plain,
    sum(sum(n14,succ('#skF_2')),sum(n6,n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_73369,c_69534]) ).

tff(c_73397,plain,
    sum(sum(n14,succ('#skF_2')),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_626,c_73396]) ).

tff(c_73590,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_354,c_73372,c_73397]) ).

tff(c_73622,plain,
    sum(n14,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_73590,c_342]) ).

tff(c_73395,plain,
    sum(n14,sum(n6,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_73369,c_69539]) ).

tff(c_73857,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_73622,c_610,c_73372,c_73395]) ).

tff(c_73858,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_73857]) ).

tff(c_73859,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_73320]) ).

tff(c_73907,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_73859,c_834]) ).

tff(c_73909,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_73859,c_866]) ).

tff(c_73933,plain,
    sum(n14,sum(pred('#skF_2'),n9)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_73909,c_69539]) ).

tff(c_74128,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_576,c_73907,c_73933]) ).

tff(c_74176,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_74128,c_580]) ).

tff(c_73934,plain,
    sum(sum(n14,n9),sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_73909,c_69534]) ).

tff(c_73935,plain,
    sum(n7,sum(pred('#skF_2'),n0)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_352,c_73934]) ).

tff(c_74395,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_74176,c_594,c_73907,c_73935]) ).

tff(c_74396,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_74395]) ).

tff(c_74397,plain,
    ( ( n14 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' )
    | ( n1 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_61137]) ).

tff(c_74400,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_74397]) ).

tff(c_74512,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_74400,c_848]) ).

tff(c_74448,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_826]) ).

tff(c_74447,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_858]) ).

tff(c_74509,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_74400,c_880]) ).

tff(c_74535,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_74509,c_302]) ).

tff(c_74907,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_792,c_74512,c_462,c_74448,c_74447,c_74535]) ).

tff(c_74935,plain,
    sum(n2,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_74907,c_738]) ).

tff(c_74536,plain,
    sum(sum(pred('#skF_1'),n2),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_74509,c_300]) ).

tff(c_75174,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_74935,c_814,c_74512,c_440,c_74448,c_74447,c_74536]) ).

tff(c_75175,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_75174]) ).

tff(c_75176,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_74397]) ).

tff(c_75454,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_75176]) ).

tff(c_75455,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_75454]) ).

tff(c_75504,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_75455,c_822]) ).

tff(c_75503,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_75455,c_854]) ).

tff(c_75224,plain,
    succ('#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_858]) ).

tff(c_75225,plain,
    pred('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_826]) ).

tff(c_75247,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n11,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_75225,c_300]) ).

tff(c_75449,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_440,c_75224,c_75247]) ).

tff(c_75524,plain,
    sum(sum(pred('#skF_1'),n15),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_75503,c_75449]) ).

tff(c_75723,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_75199,c_75190,c_75504,c_75524]) ).

tff(c_75752,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_75723,c_478]) ).

tff(c_75246,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_75225,c_302]) ).

tff(c_75444,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_75224,c_75246]) ).

tff(c_75525,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_75503,c_75444]) ).

tff(c_75526,plain,
    sum(sum(pred('#skF_1'),n13),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_436,c_75525]) ).

tff(c_75990,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_75752,c_376,c_75504,c_75526]) ).

tff(c_75991,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_75990]) ).

tff(c_75992,plain,
    ( ( n13 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_75454]) ).

tff(c_75994,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_75992]) ).

tff(c_76044,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_75994,c_846]) ).

tff(c_76041,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_75994,c_878]) ).

tff(c_76064,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_76041,c_75444]) ).

tff(c_76065,plain,
    sum(sum(pred('#skF_1'),n13),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_460,c_76064]) ).

tff(c_76262,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_75204,c_760,c_76044,c_76065]) ).

tff(c_76271,plain,
    sum(n4,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_76262,c_75195]) ).

tff(c_76063,plain,
    sum(sum(pred('#skF_1'),n3),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_76041,c_75449]) ).

tff(c_76544,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_76271,c_780,c_76044,c_76063]) ).

tff(c_76545,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_76544]) ).

tff(c_76546,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_75992]) ).

tff(c_76548,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_76546]) ).

tff(c_75226,plain,
    pred(n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_824]) ).

tff(c_76557,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_76548,c_75226]) ).

tff(c_76598,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_76548,c_856]) ).

tff(c_76622,plain,
    sum(sum(pred('#skF_1'),n14),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_76598,c_75449]) ).

tff(c_76815,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_482,c_75217,c_76557,c_76622]) ).

tff(c_76833,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_76815,c_512]) ).

tff(c_75216,plain,
    sum('#skF_2',n13) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_408]) ).

tff(c_76554,plain,
    sum('#skF_2','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_76548,c_75216]) ).

tff(c_76549,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_76548,c_75444]) ).

tff(c_77082,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_76833,c_76554,c_76557,c_438,c_76598,c_76549]) ).

tff(c_77083,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_77082]) ).

tff(c_77084,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_76546]) ).

tff(c_77086,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_77084]) ).

tff(c_77136,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_77086,c_876]) ).

tff(c_77135,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_77086,c_844]) ).

tff(c_77160,plain,
    sum(sum(n2,n13),sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_77135,c_75444]) ).

tff(c_77161,plain,
    sum(n15,sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_77160]) ).

tff(c_77354,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_308,c_458,c_77136,c_77161]) ).

tff(c_77392,plain,
    sum(n6,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_77354,c_610]) ).

tff(c_77159,plain,
    sum(sum(n2,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_77135,c_75449]) ).

tff(c_77621,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_77392,c_746,c_77136,c_77159]) ).

tff(c_77622,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_77621]) ).

tff(c_77623,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_77084]) ).

tff(c_77625,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_77623]) ).

tff(c_77674,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_77625,c_75225]) ).

tff(c_77672,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_77625,c_75224]) ).

tff(c_77699,plain,
    sum(sum(pred('#skF_1'),n13),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_77672,c_75449]) ).

tff(c_77898,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_440,c_77674,c_77699]) ).

tff(c_77937,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_77898,c_546]) ).

tff(c_77700,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_77672,c_75444]) ).

tff(c_77701,plain,
    sum(sum(pred('#skF_1'),n13),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_440,c_77700]) ).

tff(c_78170,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_77937,c_440,c_77674,c_77701]) ).

tff(c_78171,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_78170]) ).

tff(c_78172,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_77623]) ).

tff(c_78174,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_78172]) ).

tff(c_78223,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_78174,c_874]) ).

tff(c_78222,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_78174,c_842]) ).

tff(c_78243,plain,
    sum(sum(n3,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_78222,c_75449]) ).

tff(c_78442,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_712,c_78223,c_78243]) ).

tff(c_78479,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_78442,c_78442,c_78442,c_818]) ).

tff(c_456,plain,
    sum(n11,n5) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_78469,plain,
    sum(n11,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_78442,c_456]) ).

tff(c_696,plain,
    sum(n3,n13) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_78244,plain,
    sum(sum(n3,n13),sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_78222,c_75444]) ).

tff(c_78245,plain,
    sum(n0,sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_696,c_78244]) ).

tff(c_78714,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_78479,c_78469,c_78442,c_78223,c_78245]) ).

tff(c_78715,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_78714]) ).

tff(c_78716,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_78172]) ).

tff(c_78718,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_78716]) ).

tff(c_75223,plain,
    succ(n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_860]) ).

tff(c_78726,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_78718,c_75223]) ).

tff(c_78769,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_78718,c_828]) ).

tff(c_78788,plain,
    sum(sum(n10,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_78769,c_75449]) ).

tff(c_78985,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_75180,c_78726,c_78788]) ).

tff(c_79031,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_78985,c_580]) ).

tff(c_442,plain,
    sum(n11,n12) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_75207,plain,
    sum(n11,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_442]) ).

tff(c_78721,plain,
    sum('#skF_1','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_78718,c_75207]) ).

tff(c_472,plain,
    sum(n10,n13) = n7,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_78719,plain,
    sum(sum(pred('#skF_1'),n13),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_78718,c_75444]) ).

tff(c_79252,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_79031,c_78721,c_78726,c_472,c_78769,c_78719]) ).

tff(c_79253,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_79252]) ).

tff(c_79254,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_78716]) ).

tff(c_79256,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_79254]) ).

tff(c_79305,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_79256,c_840]) ).

tff(c_79303,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_79256,c_872]) ).

tff(c_79325,plain,
    sum(sum(pred('#skF_1'),n6),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_79303,c_75449]) ).

tff(c_79524,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_482,c_678,c_79305,c_79325]) ).

tff(c_79567,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_79524,c_784]) ).

tff(c_664,plain,
    sum(n4,n13) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_454,plain,
    sum(n11,n6) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_79326,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_79303,c_75444]) ).

tff(c_79327,plain,
    sum(sum(pred('#skF_1'),n13),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_454,c_79326]) ).

tff(c_79791,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_79567,c_664,c_79305,c_79327]) ).

tff(c_79792,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_79791]) ).

tff(c_79793,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_79254]) ).

tff(c_79795,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_79793]) ).

tff(c_79843,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_79795,c_830]) ).

tff(c_79842,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_79795,c_862]) ).

tff(c_79864,plain,
    sum(sum(pred('#skF_1'),n11),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_79842,c_75449]) ).

tff(c_80063,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_75195,c_508,c_79843,c_79864]) ).

tff(c_75201,plain,
    sum(n6,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_74399,c_614]) ).

tff(c_80077,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_80063,c_75201]) ).

tff(c_504,plain,
    sum(n9,n13) = n6,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_79865,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_79842,c_75444]) ).

tff(c_79866,plain,
    sum(sum(pred('#skF_1'),n13),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_79865]) ).

tff(c_80345,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_80077,c_504,c_79843,c_79866]) ).

tff(c_80346,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_80345]) ).

tff(c_80347,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_79793]) ).

tff(c_80349,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_80347]) ).

tff(c_80398,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_80349,c_870]) ).

tff(c_80399,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_80349,c_838]) ).

tff(c_80422,plain,
    sum(sum(n5,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_80399,c_75449]) ).

tff(c_80617,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_75199,c_75178,c_80398,c_80422]) ).

tff(c_80635,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_80617,c_750]) ).

tff(c_452,plain,
    sum(n11,n7) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_632,plain,
    sum(n5,n13) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_80423,plain,
    sum(sum(n5,n13),sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_80399,c_75444]) ).

tff(c_80424,plain,
    sum(n2,sum(n11,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_632,c_80423]) ).

tff(c_80884,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_80635,c_452,c_80398,c_80424]) ).

tff(c_80885,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_80884]) ).

tff(c_80886,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_80347]) ).

tff(c_80888,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_80886]) ).

tff(c_80936,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_80888,c_832]) ).

tff(c_80937,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_80888,c_864]) ).

tff(c_80961,plain,
    sum(sum(pred('#skF_1'),n10),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_80937,c_75449]) ).

tff(c_81156,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_738,c_542,c_80936,c_80961]) ).

tff(c_81185,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81156,c_648]) ).

tff(c_536,plain,
    sum(n8,n13) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_446,plain,
    sum(n11,n10) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_80962,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_80937,c_75444]) ).

tff(c_80963,plain,
    sum(sum(pred('#skF_1'),n13),n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_446,c_80962]) ).

tff(c_81423,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81185,c_536,c_80936,c_80963]) ).

tff(c_81424,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_81423]) ).

tff(c_81425,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_80886]) ).

tff(c_81427,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_81425]) ).

tff(c_81474,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_81427,c_836]) ).

tff(c_81477,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_81427,c_868]) ).

tff(c_81500,plain,
    sum(sum(pred('#skF_1'),n8),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81477,c_75449]) ).

tff(c_81695,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_354,c_610,c_81474,c_81500]) ).

tff(c_81716,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81695,c_716]) ).

tff(c_600,plain,
    sum(n6,n13) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_81739,plain,
    sum('#skF_4',n13) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_81695,c_600]) ).

tff(c_81702,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81695,c_81474]) ).

tff(c_450,plain,
    sum(n11,n8) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_81501,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_81477,c_75444]) ).

tff(c_81502,plain,
    sum(sum(pred('#skF_1'),n13),n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_450,c_81501]) ).

tff(c_81962,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81716,c_81739,c_81702,c_81502]) ).

tff(c_81963,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_81962]) ).

tff(c_81964,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_81425]) ).

tff(c_81978,plain,
    sum(n4,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_81964,c_682]) ).

tff(c_568,plain,
    sum(n7,n13) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_82013,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_81964,c_834]) ).

tff(c_448,plain,
    sum(n11,n9) = n4,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_82015,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_81964,c_866]) ).

tff(c_82043,plain,
    sum(sum(pred('#skF_1'),n13),sum(n11,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_82015,c_75444]) ).

tff(c_82044,plain,
    sum(sum(pred('#skF_1'),n13),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_448,c_82043]) ).

tff(c_82233,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_81978,c_568,c_82013,c_82044]) ).

tff(c_82234,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_82233,c_2155]) ).

tff(c_81995,plain,
    sum(n0,'#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_81964,c_81964,c_802]) ).

tff(c_81966,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81964,c_75449]) ).

tff(c_82243,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_81995,c_576,c_82013,c_82015,c_81966]) ).

tff(c_82244,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_82234,c_82243]) ).

tff(c_82245,plain,
    ( ( n11 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' )
    | ( n4 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_69264]) ).

tff(c_86851,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_82245]) ).

tff(c_86872,plain,
    sum(n12,n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_418]) ).

tff(c_520,plain,
    sum(n9,n5) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_86866,plain,
    sum('#skF_2',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_678]) ).

tff(c_488,plain,
    sum(n10,n5) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_86881,plain,
    sum(n2,'#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_746]) ).

tff(c_86869,plain,
    sum('#skF_2',n8) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_674]) ).

tff(c_86880,plain,
    sum(n1,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_780]) ).

tff(c_86855,plain,
    sum(n2,n2) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_750]) ).

tff(c_82525,plain,
    n4 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_82245]) ).

tff(c_82574,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_82525,c_874]) ).

tff(c_82573,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_82525,c_842]) ).

tff(c_82247,plain,
    n1 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_74397]) ).

tff(c_82297,plain,
    pred('#skF_1') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_82247,c_848]) ).

tff(c_82294,plain,
    succ('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_82247,c_880]) ).

tff(c_82318,plain,
    sum(sum(pred('#skF_1'),n2),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_82294,c_300]) ).

tff(c_82520,plain,
    sum(n2,sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_814,c_82297,c_82318]) ).

tff(c_82594,plain,
    sum(n2,sum(n3,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_82573,c_82520]) ).

tff(c_82793,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_738,c_712,c_82574,c_82594]) ).

tff(c_82817,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_82793,c_648]) ).

tff(c_82317,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_82294,c_302]) ).

tff(c_82515,plain,
    sum(sum(n0,succ('#skF_2')),sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_82297,c_82317]) ).

tff(c_82595,plain,
    sum(sum(n0,succ('#skF_2')),sum(n3,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_82573,c_82515]) ).

tff(c_82596,plain,
    sum(sum(n0,succ('#skF_2')),n5) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_82595]) ).

tff(c_83060,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_82817,c_808,c_82574,c_82596]) ).

tff(c_83061,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_83060]) ).

tff(c_83062,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_82245]) ).

tff(c_83064,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_83062]) ).

tff(c_83111,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_83064,c_860]) ).

tff(c_83113,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_83064,c_828]) ).

tff(c_83137,plain,
    sum(n2,sum(n10,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_83113,c_82520]) ).

tff(c_83332,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_742,c_474,c_83111,c_83137]) ).

tff(c_83379,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_83332,c_410]) ).

tff(c_83138,plain,
    sum(sum(n0,succ('#skF_2')),sum(n10,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_83113,c_82515]) ).

tff(c_83139,plain,
    sum(sum(n0,succ('#skF_2')),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_83138]) ).

tff(c_83599,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_83379,c_794,c_83111,c_83139]) ).

tff(c_83600,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_83599]) ).

tff(c_83601,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_83062]) ).

tff(c_83603,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_83601]) ).

tff(c_83652,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_83603,c_840]) ).

tff(c_83650,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_83603,c_872]) ).

tff(c_83672,plain,
    sum(n2,sum(pred('#skF_2'),n6)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_83650,c_82520]) ).

tff(c_83871,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_678,c_83652,c_83672]) ).

tff(c_83901,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_83871,c_614]) ).

tff(c_83673,plain,
    sum(sum(n0,n6),sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_83650,c_82515]) ).

tff(c_83674,plain,
    sum(n6,sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_806,c_83673]) ).

tff(c_84138,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_83901,c_686,c_83652,c_83674]) ).

tff(c_84139,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_84138]) ).

tff(c_84140,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_83601]) ).

tff(c_84142,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_84140]) ).

tff(c_84189,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_84142,c_862]) ).

tff(c_84190,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_84142,c_830]) ).

tff(c_84212,plain,
    sum(sum(n0,succ('#skF_2')),sum(n9,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_84190,c_82515]) ).

tff(c_84213,plain,
    sum(sum(n0,succ('#skF_2')),n11) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_84212]) ).

tff(c_84410,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_796,c_84189,c_84213]) ).

tff(c_84443,plain,
    sum(n2,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_84410,c_746]) ).

tff(c_84211,plain,
    sum(n2,sum(n9,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_84190,c_82520]) ).

tff(c_84682,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_84443,c_508,c_84189,c_84211]) ).

tff(c_84683,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_84682]) ).

tff(c_84684,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_84140]) ).

tff(c_84686,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_84684]) ).

tff(c_84735,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_84686,c_870]) ).

tff(c_84736,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_84686,c_838]) ).

tff(c_84760,plain,
    sum(sum(n0,succ('#skF_2')),sum(n5,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_84736,c_82515]) ).

tff(c_84761,plain,
    sum(sum(n0,succ('#skF_2')),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_654,c_84760]) ).

tff(c_84954,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_804,c_84735,c_84761]) ).

tff(c_84979,plain,
    sum(n2,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_84954,c_730]) ).

tff(c_84759,plain,
    sum(n2,sum(n5,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_84736,c_82520]) ).

tff(c_85221,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_84979,c_644,c_84735,c_84759]) ).

tff(c_85222,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_85221]) ).

tff(c_85223,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_84684]) ).

tff(c_85225,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_85223]) ).

tff(c_85273,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_85225,c_832]) ).

tff(c_85274,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_85225,c_864]) ).

tff(c_85299,plain,
    sum(sum(n0,n10),sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_85274,c_82515]) ).

tff(c_85300,plain,
    sum(n10,sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_798,c_85299]) ).

tff(c_85493,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_558,c_85273,c_85300]) ).

tff(c_85510,plain,
    sum(n2,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_85493,c_750]) ).

tff(c_85298,plain,
    sum(n2,sum(pred('#skF_2'),n10)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_85274,c_82520]) ).

tff(c_85760,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_85510,c_542,c_85273,c_85298]) ).

tff(c_85761,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_85760]) ).

tff(c_85762,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_85223]) ).

tff(c_85764,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_85762]) ).

tff(c_85811,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_85764,c_836]) ).

tff(c_85814,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_85764,c_868]) ).

tff(c_85833,plain,
    sum(n2,sum(pred('#skF_2'),n8)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_85814,c_82520]) ).

tff(c_86032,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_610,c_85811,c_85833]) ).

tff(c_86075,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86032,c_546]) ).

tff(c_85834,plain,
    sum(sum(n0,n8),sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_85814,c_82515]) ).

tff(c_85835,plain,
    sum(n8,sum(pred('#skF_2'),n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_802,c_85834]) ).

tff(c_86304,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86075,c_622,c_85811,c_85835]) ).

tff(c_86305,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_86304]) ).

tff(c_86306,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_85762]) ).

tff(c_86356,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_86306,c_866]) ).

tff(c_86354,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_86306,c_834]) ).

tff(c_86376,plain,
    sum(n2,sum(n7,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86354,c_82520]) ).

tff(c_86575,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_576,c_86356,c_86376]) ).

tff(c_86594,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86575,c_512]) ).

tff(c_86377,plain,
    sum(sum(n0,succ('#skF_2')),sum(n7,n2)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_86354,c_82515]) ).

tff(c_86378,plain,
    sum(sum(n0,succ('#skF_2')),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_590,c_86377]) ).

tff(c_86847,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86594,c_800,c_86356,c_86378]) ).

tff(c_86848,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_86847]) ).

tff(c_86849,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_74397]) ).

tff(c_87128,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_86849]) ).

tff(c_87129,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_87128]) ).

tff(c_87178,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_87129,c_822]) ).

tff(c_87177,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_87129,c_854]) ).

tff(c_86898,plain,
    pred('#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_842]) ).

tff(c_86899,plain,
    succ('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_874]) ).

tff(c_86920,plain,
    sum(sum(pred('#skF_1'),n5),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_86899,c_302]) ).

tff(c_87118,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_86898,c_86920]) ).

tff(c_87199,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_87177,c_87118]) ).

tff(c_87200,plain,
    sum(sum(pred('#skF_1'),n5),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_87199]) ).

tff(c_87397,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_86855,c_392,c_87178,c_87200]) ).

tff(c_87407,plain,
    sum(n12,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_87397,c_86872]) ).

tff(c_86921,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n5)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86899,c_300]) ).

tff(c_87123,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_86898,c_86921]) ).

tff(c_87198,plain,
    sum(sum(pred('#skF_1'),n15),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_87177,c_87123]) ).

tff(c_87679,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_87407,c_372,c_87178,c_87198]) ).

tff(c_87680,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_87679]) ).

tff(c_87681,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_87128]) ).

tff(c_87683,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_87681]) ).

tff(c_87733,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_87683,c_846]) ).

tff(c_87730,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_87683,c_878]) ).

tff(c_87752,plain,
    sum(sum(pred('#skF_1'),n3),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_87730,c_87123]) ).

tff(c_87951,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86869,c_86880,c_87733,c_87752]) ).

tff(c_87980,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_87951,c_614]) ).

tff(c_87753,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_87730,c_87118]) ).

tff(c_87754,plain,
    sum(sum(pred('#skF_1'),n5),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_87753]) ).

tff(c_88218,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_87980,c_776,c_87733,c_87754]) ).

tff(c_88219,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_88218]) ).

tff(c_88220,plain,
    ( ( n3 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_87681]) ).

tff(c_88222,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_88220]) ).

tff(c_88270,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_88222,c_856]) ).

tff(c_88271,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_88222,c_824]) ).

tff(c_88296,plain,
    sum(sum(n12,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_88271,c_87118]) ).

tff(c_88297,plain,
    sum(n1,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_424,c_88296]) ).

tff(c_88490,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_694,c_88270,c_88297]) ).

tff(c_88537,plain,
    sum(n10,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_88490,c_482]) ).

tff(c_88295,plain,
    sum(sum(n12,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_88271,c_87123]) ).

tff(c_88757,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_88537,c_406,c_88270,c_88295]) ).

tff(c_88758,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_88757]) ).

tff(c_88759,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_88220]) ).

tff(c_88761,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_88759]) ).

tff(c_86900,plain,
    succ(n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_876]) ).

tff(c_88770,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_88761,c_86900]) ).

tff(c_88812,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_88761,c_844]) ).

tff(c_88831,plain,
    sum(sum(n2,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_88812,c_87123]) ).

tff(c_89028,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_86881,c_88770,c_88831]) ).

tff(c_89075,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_89028,c_580]) ).

tff(c_86883,plain,
    sum(n3,'#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_714]) ).

tff(c_88767,plain,
    sum('#skF_1','#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_88761,c_86883]) ).

tff(c_88762,plain,
    sum(sum(pred('#skF_1'),n5),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_88761,c_87118]) ).

tff(c_89295,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_89075,c_88767,c_88770,c_744,c_88812,c_88762]) ).

tff(c_89296,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_89295]) ).

tff(c_89297,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_88759]) ).

tff(c_89299,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_89297]) ).

tff(c_89348,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_89299,c_826]) ).

tff(c_89347,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_89299,c_858]) ).

tff(c_89368,plain,
    sum(sum(pred('#skF_1'),n13),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_89347,c_87123]) ).

tff(c_89567,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_440,c_89348,c_89368]) ).

tff(c_89604,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_89567,c_89567,c_89567,c_818]) ).

tff(c_89594,plain,
    sum(n11,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_89567,c_456]) ).

tff(c_89369,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_89347,c_87118]) ).

tff(c_89370,plain,
    sum(sum(pred('#skF_1'),n5),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_696,c_89369]) ).

tff(c_89839,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_89604,c_89594,c_89567,c_89348,c_89370]) ).

tff(c_89840,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_89839]) ).

tff(c_89841,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_89297]) ).

tff(c_89843,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_89841]) ).

tff(c_89892,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_89843,c_86899]) ).

tff(c_89890,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_89843,c_86898]) ).

tff(c_89917,plain,
    sum(sum(n3,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_89890,c_87123]) ).

tff(c_90116,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_712,c_89892,c_89917]) ).

tff(c_90154,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_90116,c_546]) ).

tff(c_89918,plain,
    sum(sum(n3,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_89890,c_87118]) ).

tff(c_89919,plain,
    sum(n8,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_89918]) ).

tff(c_90388,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_90154,c_712,c_89892,c_89919]) ).

tff(c_90389,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_90388]) ).

tff(c_90390,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_89841]) ).

tff(c_90392,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_90390]) ).

tff(c_90441,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_90392,c_828]) ).

tff(c_698,plain,
    sum(n3,n12) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_90439,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_90392,c_860]) ).

tff(c_90462,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_90439,c_87118]) ).

tff(c_90463,plain,
    sum(sum(pred('#skF_1'),n5),n15) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_90462]) ).

tff(c_90660,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_308,c_488,c_90441,c_90463]) ).

tff(c_90699,plain,
    sum(n6,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_90660,c_610]) ).

tff(c_90461,plain,
    sum(sum(pred('#skF_1'),n12),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_90439,c_87123]) ).

tff(c_90927,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_90699,c_474,c_90441,c_90461]) ).

tff(c_90928,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_90927]) ).

tff(c_90929,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_90390]) ).

tff(c_90931,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_90929]) ).

tff(c_86897,plain,
    pred(n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_840]) ).

tff(c_90939,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_90931,c_86897]) ).

tff(c_90981,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_90931,c_872]) ).

tff(c_91005,plain,
    sum(sum(pred('#skF_1'),n6),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_90981,c_87123]) ).

tff(c_91198,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_482,c_86866,c_90939,c_91005]) ).

tff(c_91214,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_91198,c_512]) ).

tff(c_680,plain,
    sum(n4,n5) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_86882,plain,
    sum('#skF_2',n5) = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_680]) ).

tff(c_90938,plain,
    sum('#skF_2','#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_90931,c_86882]) ).

tff(c_710,plain,
    sum(n3,n6) = n9,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_90932,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_90931,c_87118]) ).

tff(c_91470,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_91214,c_90938,c_90939,c_710,c_90981,c_90932]) ).

tff(c_91471,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_91470]) ).

tff(c_91472,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_90929]) ).

tff(c_91474,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_91472]) ).

tff(c_91522,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_91474,c_830]) ).

tff(c_700,plain,
    sum(n3,n11) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_91521,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_91474,c_862]) ).

tff(c_91544,plain,
    sum(sum(pred('#skF_1'),n5),sum(n3,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_91521,c_87118]) ).

tff(c_91545,plain,
    sum(sum(pred('#skF_1'),n5),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_91544]) ).

tff(c_91742,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_520,c_91522,c_91545]) ).

tff(c_91752,plain,
    sum('#skF_2',n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_91742,c_86869]) ).

tff(c_86861,plain,
    sum(n9,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_508]) ).

tff(c_91543,plain,
    sum(sum(pred('#skF_1'),n11),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_91521,c_87123]) ).

tff(c_92009,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_91752,c_86861,c_91522,c_91543]) ).

tff(c_92010,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_92009]) ).

tff(c_92011,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_91472]) ).

tff(c_92013,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_92011]) ).

tff(c_92062,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_92013,c_870]) ).

tff(c_92063,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_92013,c_838]) ).

tff(c_92090,plain,
    sum(sum(n5,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_92063,c_87123]) ).

tff(c_92281,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_86872,c_644,c_92062,c_92090]) ).

tff(c_86870,plain,
    sum(n10,n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_86851,c_478]) ).

tff(c_92292,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_92281,c_86870]) ).

tff(c_708,plain,
    sum(n3,n7) = n10,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_92091,plain,
    sum(sum(n5,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_92063,c_87118]) ).

tff(c_92092,plain,
    sum(n10,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_92091]) ).

tff(c_92563,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_92292,c_708,c_92062,c_92092]) ).

tff(c_92564,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_92563]) ).

tff(c_92565,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_92011]) ).

tff(c_92567,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_92565]) ).

tff(c_92616,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_92567,c_864]) ).

tff(c_552,plain,
    sum(n8,n5) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_92615,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_92567,c_832]) ).

tff(c_92637,plain,
    sum(sum(n8,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_92615,c_87118]) ).

tff(c_92638,plain,
    sum(n13,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_552,c_92637]) ).

tff(c_92835,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_702,c_92616,c_92638]) ).

tff(c_92862,plain,
    sum(n2,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_92835,c_738]) ).

tff(c_92866,plain,
    sum(n8,'#skF_3') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_92835,c_542]) ).

tff(c_92842,plain,
    succ('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_92835,c_92616]) ).

tff(c_92636,plain,
    sum(sum(n8,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_92615,c_87123]) ).

tff(c_93102,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_92862,c_92866,c_92842,c_92636]) ).

tff(c_93103,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_93102]) ).

tff(c_93104,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_92565]) ).

tff(c_93106,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_93104]) ).

tff(c_93156,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_93106,c_868]) ).

tff(c_616,plain,
    sum(n6,n5) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_93153,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_93106,c_836]) ).

tff(c_93180,plain,
    sum(sum(n6,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_93153,c_87118]) ).

tff(c_93181,plain,
    sum(n11,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_616,c_93180]) ).

tff(c_93374,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_706,c_93156,c_93181]) ).

tff(c_93406,plain,
    sum(n14,n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_93374,c_354]) ).

tff(c_93412,plain,
    sum('#skF_3',n8) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_93374,c_610]) ).

tff(c_93179,plain,
    sum(sum(n6,succ('#skF_1')),n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_93153,c_87123]) ).

tff(c_93641,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_93406,c_93412,c_93374,c_93156,c_93179]) ).

tff(c_93642,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_93641]) ).

tff(c_93643,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_93104]) ).

tff(c_93691,plain,
    sum(n12,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_93643,c_410]) ).

tff(c_704,plain,
    sum(n3,n9) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_93694,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_93643,c_866]) ).

tff(c_584,plain,
    sum(n7,n5) = n12,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_93692,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_93643,c_834]) ).

tff(c_93714,plain,
    sum(sum(n7,n5),sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_93692,c_87118]) ).

tff(c_93715,plain,
    sum(n12,sum(n3,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_93714]) ).

tff(c_93912,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_93691,c_704,c_93694,c_93715]) ).

tff(c_93913,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_93912,c_2155]) ).

tff(c_93673,plain,
    sum(n0,'#skF_1') = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_93643,c_93643,c_802]) ).

tff(c_93645,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_93643,c_87123]) ).

tff(c_93926,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_93673,c_576,c_93694,c_93692,c_93645]) ).

tff(c_93927,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_93913,c_93926]) ).

tff(c_93928,plain,
    ( ( n5 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' )
    | ( n11 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_82245]) ).

tff(c_93930,plain,
    n11 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_93928]) ).

tff(c_93959,plain,
    sum('#skF_2',n13) = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_440]) ).

tff(c_94207,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_86849]) ).

tff(c_94208,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_94207]) ).

tff(c_94257,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_94208,c_822]) ).

tff(c_94256,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_94208,c_854]) ).

tff(c_93976,plain,
    succ('#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_860]) ).

tff(c_93978,plain,
    pred('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_828]) ).

tff(c_94000,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n10,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_93978,c_300]) ).

tff(c_94202,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_93976,c_94000]) ).

tff(c_94277,plain,
    sum(sum(pred('#skF_1'),n15),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_94256,c_94202]) ).

tff(c_94476,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_422,c_372,c_94257,c_94277]) ).

tff(c_94492,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_94476,c_512]) ).

tff(c_93999,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_93978,c_302]) ).

tff(c_94197,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_93976,c_93999]) ).

tff(c_94278,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_94256,c_94197]) ).

tff(c_94279,plain,
    sum(sum(pred('#skF_1'),n12),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_468,c_94278]) ).

tff(c_94743,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_94492,c_378,c_94257,c_94279]) ).

tff(c_94744,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_94743]) ).

tff(c_94745,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_94207]) ).

tff(c_94747,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_94745]) ).

tff(c_94797,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_94747,c_846]) ).

tff(c_94794,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_94747,c_878]) ).

tff(c_94817,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_94794,c_94197]) ).

tff(c_94818,plain,
    sum(sum(pred('#skF_1'),n12),n13) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_492,c_94817]) ).

tff(c_95015,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_762,c_94797,c_94818]) ).

tff(c_95041,plain,
    sum(n4,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_95015,c_678]) ).

tff(c_94816,plain,
    sum(sum(pred('#skF_1'),n3),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_94794,c_94202]) ).

tff(c_95287,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_95041,c_780,c_94797,c_94816]) ).

tff(c_95288,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_95287]) ).

tff(c_95289,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_94745]) ).

tff(c_95291,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_95289]) ).

tff(c_95339,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_95291,c_856]) ).

tff(c_95340,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_95291,c_824]) ).

tff(c_95364,plain,
    sum(sum(n12,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_95340,c_94202]) ).

tff(c_95559,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_406,c_95339,c_95364]) ).

tff(c_95600,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_95559,c_546]) ).

tff(c_95365,plain,
    sum(sum(n12,n12),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_95340,c_94197]) ).

tff(c_95366,plain,
    sum(n8,sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_95365]) ).

tff(c_95836,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_95600,c_470,c_95339,c_95366]) ).

tff(c_95837,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_95836]) ).

tff(c_95838,plain,
    ( ( n12 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_95289]) ).

tff(c_95840,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_95838]) ).

tff(c_95890,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_95840,c_876]) ).

tff(c_95889,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_95840,c_844]) ).

tff(c_95914,plain,
    sum(sum(n2,n12),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_95889,c_94197]) ).

tff(c_95915,plain,
    sum(n14,sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_730,c_95914]) ).

tff(c_96108,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_490,c_95890,c_95915]) ).

tff(c_96143,plain,
    sum(n6,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_96108,c_614]) ).

tff(c_95913,plain,
    sum(sum(n2,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_95889,c_94202]) ).

tff(c_96375,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_96143,c_746,c_95890,c_95913]) ).

tff(c_96376,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_96375]) ).

tff(c_96377,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_95838]) ).

tff(c_96379,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_96377]) ).

tff(c_93979,plain,
    pred(n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_826]) ).

tff(c_96388,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_96379,c_93979]) ).

tff(c_96429,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_96379,c_858]) ).

tff(c_96449,plain,
    sum(sum(pred('#skF_1'),n13),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_96429,c_94202]) ).

tff(c_96646,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_93959,c_96388,c_96449]) ).

tff(c_96692,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_96646,c_580]) ).

tff(c_93961,plain,
    sum('#skF_2',n12) = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_442]) ).

tff(c_96382,plain,
    sum('#skF_2','#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_96379,c_93961]) ).

tff(c_96380,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_96379,c_94197]) ).

tff(c_96913,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_96692,c_96382,c_96388,c_472,c_96429,c_96380]) ).

tff(c_96914,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_96913]) ).

tff(c_96915,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_96377]) ).

tff(c_96917,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_96915]) ).

tff(c_96966,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_96917,c_874]) ).

tff(c_96965,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_96917,c_842]) ).

tff(c_96986,plain,
    sum(sum(n3,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_96965,c_94202]) ).

tff(c_97185,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_712,c_96966,c_96986]) ).

tff(c_97217,plain,
    sum(n15,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_97185,c_308]) ).

tff(c_96987,plain,
    sum(sum(n3,n12),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_96965,c_94197]) ).

tff(c_96988,plain,
    sum(n15,sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_96987]) ).

tff(c_97452,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_97217,c_488,c_96966,c_96988]) ).

tff(c_97453,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_97452]) ).

tff(c_97454,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_96915]) ).

tff(c_97456,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_97454]) ).

tff(c_97505,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_97456,c_93978]) ).

tff(c_97502,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_97456,c_93976]) ).

tff(c_97531,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_97502,c_94197]) ).

tff(c_97532,plain,
    sum(sum(pred('#skF_1'),n12),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_474,c_97531]) ).

tff(c_97729,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_474,c_97505,c_97532]) ).

tff(c_97760,plain,
    sum(n6,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_97729,c_614]) ).

tff(c_97741,plain,
    sum(n10,'#skF_3') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_97729,c_474]) ).

tff(c_97530,plain,
    sum(sum(pred('#skF_1'),n12),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_97502,c_94202]) ).

tff(c_97996,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_97760,c_97741,c_97729,c_97505,c_97530]) ).

tff(c_97997,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_97996]) ).

tff(c_97998,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_97454]) ).

tff(c_98000,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_97998]) ).

tff(c_98049,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_98000,c_840]) ).

tff(c_98047,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_98000,c_872]) ).

tff(c_98070,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_98047,c_94197]) ).

tff(c_98071,plain,
    sum(sum(pred('#skF_1'),n12),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_98070]) ).

tff(c_98268,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_666,c_98049,c_98071]) ).

tff(c_98299,plain,
    sum(n10,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_98268,c_486]) ).

tff(c_98069,plain,
    sum(sum(pred('#skF_1'),n6),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_98047,c_94202]) ).

tff(c_98540,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_98299,c_678,c_98049,c_98069]) ).

tff(c_98541,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_98540]) ).

tff(c_98542,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_97998]) ).

tff(c_98544,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_98542]) ).

tff(c_98564,plain,
    sum(n4,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_98544,c_678]) ).

tff(c_93938,plain,
    sum(n9,'#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_508]) ).

tff(c_93977,plain,
    succ(n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_862]) ).

tff(c_98552,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_98544,c_93977]) ).

tff(c_98594,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_98544,c_830]) ).

tff(c_98618,plain,
    sum(sum(n9,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_98594,c_94202]) ).

tff(c_98811,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_98564,c_93938,c_98552,c_98618]) ).

tff(c_98570,plain,
    sum(n5,n5) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_98544,c_648]) ).

tff(c_98829,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_98811,c_98570]) ).

tff(c_476,plain,
    sum(n10,n11) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_93970,plain,
    sum(n10,'#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_93930,c_476]) ).

tff(c_98550,plain,
    sum('#skF_1','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_98544,c_93970]) ).

tff(c_98812,plain,
    sum('#skF_4','#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_98811,c_98550]) ).

tff(c_98858,plain,
    succ('#skF_4') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_98811,c_98552]) ).

tff(c_506,plain,
    sum(n9,n12) = n5,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_98859,plain,
    pred('#skF_4') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_98811,c_98594]) ).

tff(c_98545,plain,
    sum(sum(pred('#skF_1'),n12),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_98544,c_94197]) ).

tff(c_99093,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_98829,c_98812,c_98858,c_506,c_98859,c_98811,c_98811,c_98811,c_98545]) ).

tff(c_99094,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_99093]) ).

tff(c_99095,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_98542]) ).

tff(c_99097,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_99095]) ).

tff(c_99148,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_99097,c_838]) ).

tff(c_484,plain,
    sum(n10,n7) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_99147,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_99097,c_870]) ).

tff(c_99167,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n7)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_99147,c_94197]) ).

tff(c_99168,plain,
    sum(sum(pred('#skF_1'),n12),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_484,c_99167]) ).

tff(c_99365,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_634,c_99148,c_99168]) ).

tff(c_99113,plain,
    sum(n12,'#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_99097,c_422]) ).

tff(c_99368,plain,
    sum(n12,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_99365,c_99113]) ).

tff(c_99098,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_99097,c_94202]) ).

tff(c_99632,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_99368,c_644,c_99148,c_99147,c_99098]) ).

tff(c_99633,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_99632]) ).

tff(c_99634,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_99095]) ).

tff(c_99636,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_99634]) ).

tff(c_99685,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_99636,c_864]) ).

tff(c_99684,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_99636,c_832]) ).

tff(c_99706,plain,
    sum(sum(n8,n12),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_99684,c_94197]) ).

tff(c_99707,plain,
    sum(n4,sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_99706]) ).

tff(c_99904,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_478,c_99685,c_99707]) ).

tff(c_99924,plain,
    sum(n2,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_99904,c_742]) ).

tff(c_99943,plain,
    sum('#skF_3',n10) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_99904,c_542]) ).

tff(c_99705,plain,
    sum(sum(n8,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_99684,c_94202]) ).

tff(c_100171,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_99924,c_99943,c_99904,c_99685,c_99705]) ).

tff(c_100172,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_100171]) ).

tff(c_100173,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_99634]) ).

tff(c_100175,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_100173]) ).

tff(c_100225,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_100175,c_868]) ).

tff(c_100222,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_100175,c_836]) ).

tff(c_100249,plain,
    sum(sum(n6,n12),sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_100222,c_94197]) ).

tff(c_100250,plain,
    sum(n2,sum(n10,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_602,c_100249]) ).

tff(c_100443,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_482,c_100225,c_100250]) ).

tff(c_100485,plain,
    sum(n14,n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_100443,c_358]) ).

tff(c_100248,plain,
    sum(sum(n6,succ('#skF_1')),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_100222,c_94202]) ).

tff(c_100710,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_100485,c_610,c_100225,c_100248]) ).

tff(c_100711,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_100710]) ).

tff(c_100712,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_100173]) ).

tff(c_100760,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_100712,c_834]) ).

tff(c_100762,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_100712,c_866]) ).

tff(c_100786,plain,
    sum(sum(pred('#skF_1'),n9),n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_100762,c_94202]) ).

tff(c_100981,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_806,c_576,c_100760,c_100786]) ).

tff(c_101001,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_100981,c_716]) ).

tff(c_570,plain,
    sum(n7,n12) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_480,plain,
    sum(n10,n9) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_100787,plain,
    sum(sum(pred('#skF_1'),n12),sum(n10,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_100762,c_94197]) ).

tff(c_100788,plain,
    sum(sum(pred('#skF_1'),n12),n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_480,c_100787]) ).

tff(c_101248,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_101001,c_570,c_100760,c_100788]) ).

tff(c_101249,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_101248]) ).

tff(c_101250,plain,
    ( ( n10 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' )
    | ( n5 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_93928]) ).

tff(c_101252,plain,
    n5 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_101250]) ).

tff(c_101255,plain,
    sum(n3,'#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_712]) ).

tff(c_101529,plain,
    ( ( n2 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' )
    | ( n14 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_86849]) ).

tff(c_101530,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_101529]) ).

tff(c_101578,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_101530,c_854]) ).

tff(c_101579,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_101530,c_822]) ).

tff(c_101300,plain,
    pred('#skF_2') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_840]) ).

tff(c_101298,plain,
    succ('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_872]) ).

tff(c_101322,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n6)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_101298,c_300]) ).

tff(c_101524,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_101300,c_101322]) ).

tff(c_101603,plain,
    sum(sum(n13,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_101579,c_101524]) ).

tff(c_101798,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_414,c_372,c_101578,c_101603]) ).

tff(c_101820,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_101798,c_716]) ).

tff(c_101321,plain,
    sum(sum(pred('#skF_1'),n6),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_101298,c_302]) ).

tff(c_101519,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_101300,c_101321]) ).

tff(c_101604,plain,
    sum(sum(n13,n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_101579,c_101519]) ).

tff(c_101605,plain,
    sum(n3,sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_390,c_101604]) ).

tff(c_102065,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_101820,c_660,c_101578,c_101605]) ).

tff(c_102066,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_102065]) ).

tff(c_102067,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_101529]) ).

tff(c_102069,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_102067]) ).

tff(c_102119,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_102069,c_846]) ).

tff(c_102116,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_102069,c_878]) ).

tff(c_102138,plain,
    sum(sum(pred('#skF_1'),n3),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_102116,c_101524]) ).

tff(c_102337,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_780,c_102119,c_102138]) ).

tff(c_102384,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_102337,c_580]) ).

tff(c_102139,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_102116,c_101519]) ).

tff(c_102140,plain,
    sum(sum(pred('#skF_1'),n6),n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_684,c_102139]) ).

tff(c_102604,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_102384,c_774,c_102119,c_102140]) ).

tff(c_102605,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_102604]) ).

tff(c_102606,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_102067]) ).

tff(c_102608,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_102606]) ).

tff(c_102656,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_102608,c_856]) ).

tff(c_102657,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_102608,c_824]) ).

tff(c_102681,plain,
    sum(sum(n12,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_102657,c_101524]) ).

tff(c_102876,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_406,c_102656,c_102681]) ).

tff(c_102895,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_102876,c_750]) ).

tff(c_102925,plain,
    sum('#skF_4',n14) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_102876,c_662]) ).

tff(c_102682,plain,
    sum(sum(n12,n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_102657,c_101519]) ).

tff(c_102683,plain,
    sum(n2,sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_422,c_102682]) ).

tff(c_103143,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_102895,c_102925,c_102876,c_102656,c_102683]) ).

tff(c_103144,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_103143]) ).

tff(c_103145,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_102606]) ).

tff(c_103147,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_103145]) ).

tff(c_103197,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_103147,c_876]) ).

tff(c_103196,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_103147,c_844]) ).

tff(c_103221,plain,
    sum(sum(n2,n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_103196,c_101519]) ).

tff(c_103222,plain,
    sum(n8,sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_742,c_103221]) ).

tff(c_103415,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_682,c_103197,c_103222]) ).

tff(c_103459,plain,
    sum(n6,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_103415,c_606]) ).

tff(c_103220,plain,
    sum(sum(n2,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_103196,c_101524]) ).

tff(c_103687,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_103459,c_746,c_103197,c_103220]) ).

tff(c_103688,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_103687]) ).

tff(c_103689,plain,
    ( ( n4 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_103145]) ).

tff(c_103691,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_103689]) ).

tff(c_103740,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_103691,c_826]) ).

tff(c_103739,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_103691,c_858]) ).

tff(c_103761,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_103739,c_101519]) ).

tff(c_103762,plain,
    sum(sum(pred('#skF_1'),n6),n1) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_103761]) ).

tff(c_103959,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_454,c_103740,c_103762]) ).

tff(c_103996,plain,
    sum(n8,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_103959,c_542]) ).

tff(c_103760,plain,
    sum(sum(pred('#skF_1'),n13),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_103739,c_101524]) ).

tff(c_104231,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_103996,c_440,c_103740,c_103760]) ).

tff(c_104232,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_104231]) ).

tff(c_104233,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_103689]) ).

tff(c_104235,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_104233]) ).

tff(c_101301,plain,
    succ(n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_874]) ).

tff(c_104243,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_104235,c_101301]) ).

tff(c_104285,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_104235,c_842]) ).

tff(c_104309,plain,
    sum(sum(n3,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_104285,c_101524]) ).

tff(c_104502,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_101255,c_104243,c_104309]) ).

tff(c_104518,plain,
    sum(n9,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_104502,c_512]) ).

tff(c_101282,plain,
    sum(n4,'#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_680]) ).

tff(c_104237,plain,
    sum('#skF_1','#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_104235,c_101282]) ).

tff(c_104236,plain,
    sum(sum(pred('#skF_1'),n6),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_104235,c_101519]) ).

tff(c_104769,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_104518,c_104237,c_104243,c_710,c_104285,c_104236]) ).

tff(c_104770,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_104769]) ).

tff(c_104771,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_104233]) ).

tff(c_104773,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_104771]) ).

tff(c_104822,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_104773,c_828]) ).

tff(c_104820,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_104773,c_860]) ).

tff(c_104846,plain,
    sum(sum(pred('#skF_1'),n12),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_104820,c_101524]) ).

tff(c_105041,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_474,c_104822,c_104846]) ).

tff(c_105080,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_105041,c_105041,c_105041,c_818]) ).

tff(c_105072,plain,
    sum(n10,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_105041,c_486]) ).

tff(c_104847,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_104820,c_101519]) ).

tff(c_104848,plain,
    sum(sum(pred('#skF_1'),n6),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_104847]) ).

tff(c_105313,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_105080,c_105072,c_105041,c_104822,c_104848]) ).

tff(c_105314,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_105313]) ).

tff(c_105315,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_104771]) ).

tff(c_105317,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_105315]) ).

tff(c_105366,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_105317,c_101298]) ).

tff(c_105365,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_105317,c_101300]) ).

tff(c_105395,plain,
    sum(sum(n4,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_105365,c_101524]) ).

tff(c_105590,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_478,c_678,c_105366,c_105395]) ).

tff(c_105616,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_105590,c_478]) ).

tff(c_105612,plain,
    sum('#skF_4',n6) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_105590,c_678]) ).

tff(c_105396,plain,
    sum(sum(n4,n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_105365,c_101519]) ).

tff(c_105397,plain,
    sum(n10,sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_105396]) ).

tff(c_105857,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_105616,c_105612,c_105590,c_105366,c_105397]) ).

tff(c_105858,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_105857]) ).

tff(c_105859,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_105315]) ).

tff(c_105861,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_105859]) ).

tff(c_105910,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_105861,c_830]) ).

tff(c_668,plain,
    sum(n4,n11) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_105909,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_105861,c_862]) ).

tff(c_105931,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_105909,c_101519]) ).

tff(c_105932,plain,
    sum(sum(pred('#skF_1'),n6),n15) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_105931]) ).

tff(c_106129,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_308,c_518,c_105910,c_105932]) ).

tff(c_105891,plain,
    sum(n4,'#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_105861,c_670]) ).

tff(c_106132,plain,
    sum(n4,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_106129,c_105891]) ).

tff(c_105862,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_105861,c_101524]) ).

tff(c_106396,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_106132,c_508,c_105910,c_105909,c_105862]) ).

tff(c_106397,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_106396]) ).

tff(c_106398,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_105859]) ).

tff(c_106400,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_106398]) ).

tff(c_106447,plain,
    sum(n12,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_106400,c_414]) ).

tff(c_101254,plain,
    sum('#skF_2',n7) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_644]) ).

tff(c_101299,plain,
    pred(n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_838]) ).

tff(c_106408,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_106400,c_101299]) ).

tff(c_106451,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_106400,c_870]) ).

tff(c_106474,plain,
    sum(sum(pred('#skF_1'),n7),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_106451,c_101524]) ).

tff(c_106667,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_106447,c_101254,c_106408,c_106474]) ).

tff(c_106421,plain,
    sum(n11,n11) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_106400,c_444]) ).

tff(c_106699,plain,
    sum(n11,n11) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_106667,c_106421]) ).

tff(c_646,plain,
    sum(n5,n6) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_101286,plain,
    sum('#skF_2',n6) = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_101252,c_646]) ).

tff(c_106404,plain,
    sum('#skF_2','#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_106400,c_101286]) ).

tff(c_106669,plain,
    sum('#skF_2','#skF_4') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_106667,c_106404]) ).

tff(c_106713,plain,
    pred('#skF_4') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_106667,c_106408]) ).

tff(c_676,plain,
    sum(n4,n7) = n11,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_106715,plain,
    succ('#skF_4') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_106667,c_106451]) ).

tff(c_106401,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_106400,c_101519]) ).

tff(c_106949,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_106699,c_106669,c_106713,c_676,c_106715,c_106667,c_106667,c_106667,c_106401]) ).

tff(c_106950,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_106949]) ).

tff(c_106951,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_106398]) ).

tff(c_106953,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_106951]) ).

tff(c_107001,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_106953,c_832]) ).

tff(c_107002,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_106953,c_864]) ).

tff(c_107027,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n10)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_107002,c_101519]) ).

tff(c_107028,plain,
    sum(sum(pred('#skF_1'),n6),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_107027]) ).

tff(c_107221,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_550,c_107001,c_107028]) ).

tff(c_107260,plain,
    sum(n2,n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_107221,c_734]) ).

tff(c_107026,plain,
    sum(sum(pred('#skF_1'),n10),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_107002,c_101524]) ).

tff(c_107488,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_107260,c_542,c_107001,c_107026]) ).

tff(c_107489,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_107488]) ).

tff(c_107490,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_106951]) ).

tff(c_107492,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_107490]) ).

tff(c_107539,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_107492,c_836]) ).

tff(c_107542,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_107492,c_868]) ).

tff(c_107565,plain,
    sum(sum(pred('#skF_1'),n8),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_107542,c_101524]) ).

tff(c_107760,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_610,c_107539,c_107565]) ).

tff(c_107809,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_107760,c_410]) ).

tff(c_107566,plain,
    sum(sum(pred('#skF_1'),n6),sum(n4,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_107542,c_101519]) ).

tff(c_107567,plain,
    sum(sum(pred('#skF_1'),n6),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_107566]) ).

tff(c_108032,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_107809,c_614,c_107539,c_107567]) ).

tff(c_108033,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_108032]) ).

tff(c_108034,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_107490]) ).

tff(c_108084,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_108034,c_866]) ).

tff(c_582,plain,
    sum(n7,n6) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_108082,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_108034,c_834]) ).

tff(c_108105,plain,
    sum(sum(n7,n6),sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_108082,c_101519]) ).

tff(c_108106,plain,
    sum(n13,sum(n4,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_582,c_108105]) ).

tff(c_108303,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_672,c_108084,c_108106]) ).

tff(c_108325,plain,
    sum(n0,'#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_108303,c_108303,c_798]) ).

tff(c_108104,plain,
    sum(sum(n7,succ('#skF_1')),n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_108082,c_101524]) ).

tff(c_108570,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_108325,c_108303,c_576,c_108084,c_108104]) ).

tff(c_108571,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_108570]) ).

tff(c_108572,plain,
    ( ( n6 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' )
    | ( n10 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_101250]) ).

tff(c_111484,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_108572]) ).

tff(c_111509,plain,
    sum(n8,'#skF_2') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_542]) ).

tff(c_516,plain,
    sum(n9,n7) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_111524,plain,
    sum('#skF_2',n4) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_490]) ).

tff(c_111495,plain,
    sum(n4,n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_678]) ).

tff(c_111493,plain,
    sum(n6,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_618]) ).

tff(c_111487,plain,
    sum('#skF_2',n12) = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_474]) ).

tff(c_111497,plain,
    sum(n13,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_376]) ).

tff(c_108574,plain,
    n14 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_86849]) ).

tff(c_108618,plain,
    sum(n12,'#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_108574,c_406]) ).

tff(c_108607,plain,
    sum(n6,n8) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_108574,c_610]) ).

tff(c_108594,plain,
    sum(n12,n2) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_108574,c_430]) ).

tff(c_108842,plain,
    n10 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_108572]) ).

tff(c_108890,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_108842,c_830]) ).

tff(c_108889,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_108842,c_862]) ).

tff(c_108622,plain,
    succ('#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_108574,c_854]) ).

tff(c_108623,plain,
    pred('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_108574,c_822]) ).

tff(c_108644,plain,
    sum(sum(n13,succ('#skF_2')),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_108623,c_302]) ).

tff(c_109107,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_500,c_108890,c_380,c_108889,c_108622,c_108644]) ).

tff(c_109126,plain,
    sum(n12,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_109107,c_426]) ).

tff(c_108645,plain,
    sum(sum(n13,succ('#skF_1')),sum(pred('#skF_2'),succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_108623,c_300]) ).

tff(c_109379,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_109126,c_508,c_108890,c_108889,c_372,c_108622,c_108645]) ).

tff(c_109380,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_109379]) ).

tff(c_109381,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_108572]) ).

tff(c_109383,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_109381]) ).

tff(c_109433,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_109383,c_838]) ).

tff(c_109432,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_109383,c_870]) ).

tff(c_109640,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_628,c_109433,c_388,c_109432,c_108622,c_108644]) ).

tff(c_109686,plain,
    sum(n12,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_109640,c_410]) ).

tff(c_109911,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_109686,c_644,c_109433,c_109432,c_372,c_108622,c_108645]) ).

tff(c_109912,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_109911]) ).

tff(c_109913,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_109381]) ).

tff(c_109915,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_109913]) ).

tff(c_109963,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_109915,c_832]) ).

tff(c_109964,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_109915,c_864]) ).

tff(c_110176,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_108594,c_542,c_109963,c_109964,c_372,c_108622,c_108645]) ).

tff(c_108619,plain,
    sum(n7,n7) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_108574,c_580]) ).

tff(c_110214,plain,
    sum(n7,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_110176,c_108619]) ).

tff(c_110222,plain,
    succ('#skF_4') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_110176,c_108622]) ).

tff(c_110249,plain,
    sum(n7,sum(n8,succ('#skF_4'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_110176,c_109963,c_382,c_109964,c_108644]) ).

tff(c_110258,plain,
    sum(n7,sum(n8,n15)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_110222,c_110249]) ).

tff(c_110261,plain,
    sum(n7,n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_532,c_110258]) ).

tff(c_110409,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_110214,c_110261]) ).

tff(c_110410,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_110409]) ).

tff(c_110411,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_109913]) ).

tff(c_110413,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_110411]) ).

tff(c_110463,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_110413,c_868]) ).

tff(c_110460,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_110413,c_836]) ).

tff(c_110678,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_108618,c_108607,c_110463,c_110460,c_372,c_108622,c_108645]) ).

tff(c_110705,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_110678,c_648]) ).

tff(c_110945,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_110705,c_386,c_110463,c_596,c_110460,c_108622,c_108644]) ).

tff(c_110946,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_110945]) ).

tff(c_110947,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_110411]) ).

tff(c_110995,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_110947,c_834]) ).

tff(c_110997,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_110947,c_866]) ).

tff(c_111213,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_564,c_110995,c_384,c_110997,c_108622,c_108644]) ).

tff(c_111259,plain,
    sum('#skF_3',n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_111213,c_111213,c_434]) ).

tff(c_111237,plain,
    sum(n13,n15) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_111213,c_372]) ).

tff(c_111480,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_111259,c_111237,c_576,c_110995,c_110997,c_108622,c_108645]) ).

tff(c_111481,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_111480]) ).

tff(c_111482,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_86849]) ).

tff(c_111761,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_111482]) ).

tff(c_111762,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_111761]) ).

tff(c_111812,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_111762,c_846]) ).

tff(c_111809,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_111762,c_878]) ).

tff(c_111531,plain,
    pred('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_830]) ).

tff(c_111530,plain,
    succ('#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_862]) ).

tff(c_111553,plain,
    sum(sum(pred('#skF_1'),n11),sum(pred('#skF_2'),succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_111530,c_302]) ).

tff(c_111756,plain,
    sum(sum(pred('#skF_1'),n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_111531,c_111553]) ).

tff(c_111831,plain,
    sum(sum(pred('#skF_1'),n11),sum(n9,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_111809,c_111756]) ).

tff(c_111833,plain,
    sum(sum(pred('#skF_1'),n11),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_111831]) ).

tff(c_112030,plain,
    n8 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_764,c_111812,c_111833]) ).

tff(c_112044,plain,
    sum(n4,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_112030,c_682]) ).

tff(c_111554,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(pred('#skF_2'),n11)) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_111530,c_300]) ).

tff(c_111751,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_508,c_111531,c_111554]) ).

tff(c_111832,plain,
    sum(sum(pred('#skF_1'),n3),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_111809,c_111751]) ).

tff(c_112297,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_112044,c_780,c_111812,c_111832]) ).

tff(c_112298,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_112297]) ).

tff(c_112299,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_111761]) ).

tff(c_112301,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_112299]) ).

tff(c_112349,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_112301,c_856]) ).

tff(c_112350,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_112301,c_824]) ).

tff(c_112374,plain,
    sum(sum(n12,n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_112350,c_111756]) ).

tff(c_112376,plain,
    sum(n7,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_412,c_112374]) ).

tff(c_112569,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_502,c_112349,c_112376]) ).

tff(c_112582,plain,
    sum('#skF_2',n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_112569,c_111524]) ).

tff(c_111527,plain,
    sum(n12,n14) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_406]) ).

tff(c_112583,plain,
    sum(n12,'#skF_3') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_112569,c_111527]) ).

tff(c_112576,plain,
    succ('#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_112569,c_112349]) ).

tff(c_112375,plain,
    sum(sum(n12,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_112350,c_111751]) ).

tff(c_112836,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_112582,c_112583,c_112576,c_112375]) ).

tff(c_112837,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_112836]) ).

tff(c_112838,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_112299]) ).

tff(c_112840,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_112838]) ).

tff(c_112890,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_112840,c_876]) ).

tff(c_112889,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_112840,c_844]) ).

tff(c_112917,plain,
    sum(sum(n2,n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_112889,c_111756]) ).

tff(c_112919,plain,
    sum(n13,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_112917]) ).

tff(c_113108,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_111497,c_522,c_112890,c_112919]) ).

tff(c_113129,plain,
    sum(n6,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_113108,c_111493]) ).

tff(c_112918,plain,
    sum(sum(n2,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_112889,c_111751]) ).

tff(c_113390,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_113129,c_746,c_112890,c_112918]) ).

tff(c_113391,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_113390]) ).

tff(c_113392,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_112838]) ).

tff(c_113394,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_113392]) ).

tff(c_113420,plain,
    sum(n8,n4) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_113394,c_554]) ).

tff(c_113443,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_113394,c_826]) ).

tff(c_113442,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_113394,c_858]) ).

tff(c_113464,plain,
    sum(sum(pred('#skF_1'),n13),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_113442,c_111751]) ).

tff(c_113662,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_113420,c_440,c_113443,c_113464]) ).

tff(c_113424,plain,
    sum(n6,n6) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_113394,c_614]) ).

tff(c_113675,plain,
    sum(n6,n6) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_113662,c_113424]) ).

tff(c_113708,plain,
    pred('#skF_4') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_113662,c_113443]) ).

tff(c_113463,plain,
    sum(sum(pred('#skF_1'),n11),sum(n9,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_113442,c_111756]) ).

tff(c_113465,plain,
    sum(sum(pred('#skF_1'),n11),n6) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_504,c_113463]) ).

tff(c_113944,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_113675,c_444,c_113708,c_113662,c_113465]) ).

tff(c_113945,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_113944]) ).

tff(c_113946,plain,
    ( ( n11 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_113392]) ).

tff(c_113948,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_113946]) ).

tff(c_113997,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_113948,c_842]) ).

tff(c_113998,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_113948,c_874]) ).

tff(c_114018,plain,
    sum(sum(pred('#skF_1'),n11),sum(n9,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_113998,c_111756]) ).

tff(c_114019,plain,
    sum(sum(pred('#skF_1'),n11),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_520,c_114018]) ).

tff(c_114216,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_700,c_113997,c_114019]) ).

tff(c_113972,plain,
    sum(n8,'#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_113948,c_554]) ).

tff(c_114220,plain,
    sum(n8,'#skF_1') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_114216,c_113972]) ).

tff(c_113949,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_113948,c_111751]) ).

tff(c_114483,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_114220,c_712,c_113997,c_113998,c_113949]) ).

tff(c_114484,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_114483]) ).

tff(c_114485,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_113946]) ).

tff(c_114487,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_114485]) ).

tff(c_111532,plain,
    pred(n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_828]) ).

tff(c_114495,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_114487,c_111532]) ).

tff(c_114537,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_114487,c_860]) ).

tff(c_114557,plain,
    sum(sum(pred('#skF_1'),n12),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_114537,c_111751]) ).

tff(c_114754,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_111493,c_111487,c_114495,c_114557]) ).

tff(c_111501,plain,
    sum(n5,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_648]) ).

tff(c_114772,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_114754,c_111501]) ).

tff(c_111526,plain,
    sum('#skF_2',n11) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_476]) ).

tff(c_114492,plain,
    sum('#skF_2','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_114487,c_111526]) ).

tff(c_114757,plain,
    sum('#skF_4','#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_114754,c_114492]) ).

tff(c_114762,plain,
    pred('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_114754,c_114495]) ).

tff(c_114488,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_114487,c_111756]) ).

tff(c_115041,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_114772,c_114757,c_114762,c_506,c_114537,c_114488]) ).

tff(c_115042,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_115041]) ).

tff(c_115043,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_114485]) ).

tff(c_115045,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_115043]) ).

tff(c_115092,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_115045,c_872]) ).

tff(c_115094,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_115045,c_840]) ).

tff(c_115123,plain,
    sum(sum(n4,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_115094,c_111751]) ).

tff(c_115313,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_111524,c_111495,c_115092,c_115123]) ).

tff(c_115347,plain,
    sum(n15,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_115313,c_308]) ).

tff(c_115122,plain,
    sum(sum(n4,n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_115094,c_111756]) ).

tff(c_115124,plain,
    sum(n15,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_115122]) ).

tff(c_115580,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_115347,c_518,c_115092,c_115124]) ).

tff(c_115581,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_115580]) ).

tff(c_115582,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_115043]) ).

tff(c_115584,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_115582]) ).

tff(c_115633,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_115584,c_111530]) ).

tff(c_115632,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_115584,c_111531]) ).

tff(c_115663,plain,
    sum(sum(n9,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_115632,c_111751]) ).

tff(c_115857,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_508,c_115633,c_115663]) ).

tff(c_115869,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_115857,c_682]) ).

tff(c_115662,plain,
    sum(sum(n9,n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_115632,c_111756]) ).

tff(c_115664,plain,
    sum(n4,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_508,c_115662]) ).

tff(c_116124,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_115869,c_508,c_115633,c_115664]) ).

tff(c_116125,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_116124]) ).

tff(c_116126,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_115582]) ).

tff(c_116128,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_116126]) ).

tff(c_116177,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_116128,c_870]) ).

tff(c_636,plain,
    sum(n5,n11) = n0,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_116178,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_116128,c_838]) ).

tff(c_116201,plain,
    sum(sum(n5,n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_116178,c_111756]) ).

tff(c_116203,plain,
    sum(n0,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_636,c_116201]) ).

tff(c_116396,plain,
    n0 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_516,c_116177,c_116203]) ).

tff(c_116414,plain,
    sum(n12,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_116396,c_426]) ).

tff(c_116202,plain,
    sum(sum(n5,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_116178,c_111751]) ).

tff(c_116668,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_116414,c_644,c_116177,c_116202]) ).

tff(c_116669,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_116668]) ).

tff(c_116670,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_116126]) ).

tff(c_116672,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_116670]) ).

tff(c_111533,plain,
    succ(n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_864]) ).

tff(c_116680,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_116672,c_111533]) ).

tff(c_116722,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_116672,c_832]) ).

tff(c_116742,plain,
    sum(sum(n8,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_116722,c_111751]) ).

tff(c_116939,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_111509,c_116680,c_116742]) ).

tff(c_116960,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_116939,c_716]) ).

tff(c_510,plain,
    sum(n9,n10) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_111489,plain,
    sum(n9,'#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_111484,c_510]) ).

tff(c_116679,plain,
    sum('#skF_1','#skF_2') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_116672,c_111489]) ).

tff(c_540,plain,
    sum(n8,n11) = n3,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_116673,plain,
    sum(sum(pred('#skF_1'),n11),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_116672,c_111756]) ).

tff(c_117206,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_116960,c_116679,c_116680,c_540,c_116722,c_116673]) ).

tff(c_117207,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_117206]) ).

tff(c_117208,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_116670]) ).

tff(c_117210,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_117208]) ).

tff(c_117260,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_117210,c_868]) ).

tff(c_117257,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_117210,c_836]) ).

tff(c_117284,plain,
    sum(sum(n6,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_117257,c_111751]) ).

tff(c_117478,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_362,c_610,c_117260,c_117284]) ).

tff(c_117521,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_117478,c_784]) ).

tff(c_514,plain,
    sum(n9,n8) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_604,plain,
    sum(n6,n11) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_117283,plain,
    sum(sum(n6,n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_117257,c_111756]) ).

tff(c_117285,plain,
    sum(n1,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_117283]) ).

tff(c_117745,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_117521,c_514,c_117260,c_117285]) ).

tff(c_117746,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_117745]) ).

tff(c_117747,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_117208]) ).

tff(c_117797,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_117747,c_866]) ).

tff(c_117795,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_117747,c_834]) ).

tff(c_117818,plain,
    sum(sum(n7,succ('#skF_1')),n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_117795,c_111751]) ).

tff(c_118016,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_810,c_576,c_117797,c_117818]) ).

tff(c_118032,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118016,c_750]) ).

tff(c_572,plain,
    sum(n7,n11) = n2,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_117817,plain,
    sum(sum(n7,n11),sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_117795,c_111756]) ).

tff(c_117819,plain,
    sum(n2,sum(n9,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_572,c_117817]) ).

tff(c_118283,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118032,c_512,c_117797,c_117819]) ).

tff(c_118284,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_118283]) ).

tff(c_118285,plain,
    ( ( n9 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' )
    | ( n6 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_108572]) ).

tff(c_118287,plain,
    n6 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_118285]) ).

tff(c_118317,plain,
    sum('#skF_2',n8) = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_610]) ).

tff(c_638,plain,
    sum(n5,n10) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_118290,plain,
    sum(n10,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_474]) ).

tff(c_118302,plain,
    sum(n4,'#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_678]) ).

tff(c_118564,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_111482]) ).

tff(c_118565,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_118564]) ).

tff(c_118615,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_118565,c_846]) ).

tff(c_118612,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_118565,c_878]) ).

tff(c_118335,plain,
    succ('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_870]) ).

tff(c_118336,plain,
    pred('#skF_2') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_838]) ).

tff(c_118365,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n5,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118336,c_300]) ).

tff(c_118559,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_644,c_118335,c_118365]) ).

tff(c_118634,plain,
    sum(sum(pred('#skF_1'),n3),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118612,c_118559]) ).

tff(c_118833,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_780,c_118615,c_118634]) ).

tff(c_118875,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118833,c_546]) ).

tff(c_118364,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_118336,c_302]) ).

tff(c_118554,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_118335,c_118364]) ).

tff(c_118635,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_118612,c_118554]) ).

tff(c_118636,plain,
    sum(sum(pred('#skF_1'),n7),n8) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_652,c_118635]) ).

tff(c_119110,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118875,c_772,c_118615,c_118636]) ).

tff(c_119111,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_119110]) ).

tff(c_119112,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_118564]) ).

tff(c_119114,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_119112]) ).

tff(c_119162,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_119114,c_856]) ).

tff(c_119163,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_119114,c_824]) ).

tff(c_119187,plain,
    sum(sum(n12,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_119163,c_118559]) ).

tff(c_119382,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118290,c_406,c_119162,c_119187]) ).

tff(c_118296,plain,
    sum(n3,n3) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_716]) ).

tff(c_119405,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_119382,c_118296]) ).

tff(c_119188,plain,
    sum(sum(n12,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_119163,c_118554]) ).

tff(c_119189,plain,
    sum(n3,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_420,c_119188]) ).

tff(c_119664,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_119405,c_630,c_119162,c_119189]) ).

tff(c_119665,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_119664]) ).

tff(c_119666,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_119112]) ).

tff(c_119668,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_119666]) ).

tff(c_119718,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_119668,c_876]) ).

tff(c_119717,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_119668,c_844]) ).

tff(c_119742,plain,
    sum(sum(n2,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_119717,c_118554]) ).

tff(c_119743,plain,
    sum(n9,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_740,c_119742]) ).

tff(c_119936,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_512,c_650,c_119718,c_119743]) ).

tff(c_118312,plain,
    sum('#skF_2',n12) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_602]) ).

tff(c_119946,plain,
    sum('#skF_2',n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_119936,c_118312]) ).

tff(c_118315,plain,
    sum(n2,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_746]) ).

tff(c_119947,plain,
    sum('#skF_3',n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_119936,c_118315]) ).

tff(c_119741,plain,
    sum(sum(n2,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_119717,c_118559]) ).

tff(c_120203,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_119946,c_119947,c_119936,c_119718,c_119741]) ).

tff(c_120204,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_120203]) ).

tff(c_120205,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_119666]) ).

tff(c_120207,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_120205]) ).

tff(c_120223,plain,
    sum(n8,'#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_120207,c_538]) ).

tff(c_120256,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_120207,c_858]) ).

tff(c_120257,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_120207,c_826]) ).

tff(c_120208,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_120207,c_118559]) ).

tff(c_120475,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_120223,c_440,c_120256,c_120257,c_120208]) ).

tff(c_120493,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_120475,c_750]) ).

tff(c_120281,plain,
    sum(sum(n11,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_120257,c_118554]) ).

tff(c_120282,plain,
    sum(n2,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_452,c_120281]) ).

tff(c_120742,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_120493,c_632,c_120256,c_120282]) ).

tff(c_120743,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_120742]) ).

tff(c_120744,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_120205]) ).

tff(c_120746,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_120744]) ).

tff(c_120770,plain,
    sum(n10,n10) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_120746,c_478]) ).

tff(c_120795,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_120746,c_874]) ).

tff(c_120794,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_120746,c_842]) ).

tff(c_120816,plain,
    sum(sum(n3,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_120794,c_118554]) ).

tff(c_120817,plain,
    sum(n10,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_708,c_120816]) ).

tff(c_121014,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_120770,c_648,c_120795,c_120817]) ).

tff(c_121015,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_121014,c_2155]) ).

tff(c_120765,plain,
    sum(n8,n12) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_120746,c_538]) ).

tff(c_120815,plain,
    sum(sum(n3,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_120794,c_118559]) ).

tff(c_121024,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_120765,c_712,c_120795,c_120815]) ).

tff(c_121025,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_121015,c_121024]) ).

tff(c_121026,plain,
    ( ( n5 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_120744]) ).

tff(c_121028,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_121026]) ).

tff(c_121075,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_121028,c_860]) ).

tff(c_121077,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_121028,c_828]) ).

tff(c_121106,plain,
    sum(sum(n10,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_121077,c_118554]) ).

tff(c_121107,plain,
    sum(n1,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_484,c_121106]) ).

tff(c_121296,plain,
    n2 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_784,c_634,c_121075,c_121107]) ).

tff(c_121304,plain,
    sum('#skF_2',n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_121296,c_118312]) ).

tff(c_121105,plain,
    sum(sum(n10,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_121077,c_118559]) ).

tff(c_121563,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_121304,c_118290,c_121075,c_121105]) ).

tff(c_121564,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_121563]) ).

tff(c_121565,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_121026]) ).

tff(c_121567,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_121565]) ).

tff(c_118333,plain,
    succ(n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_872]) ).

tff(c_121576,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_121567,c_118333]) ).

tff(c_121617,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_121567,c_840]) ).

tff(c_121637,plain,
    sum(sum(n4,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_121617,c_118559]) ).

tff(c_121834,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_118290,c_118302,c_121576,c_121637]) ).

tff(c_118303,plain,
    sum(n11,n11) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_444]) ).

tff(c_121856,plain,
    sum(n11,n11) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_121834,c_118303]) ).

tff(c_118321,plain,
    sum(n5,'#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_646]) ).

tff(c_121574,plain,
    sum('#skF_1','#skF_2') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_121567,c_118321]) ).

tff(c_121835,plain,
    sum('#skF_1','#skF_4') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_121834,c_121574]) ).

tff(c_121841,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_121834,c_121576]) ).

tff(c_121568,plain,
    sum(sum(pred('#skF_1'),n7),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_121567,c_118554]) ).

tff(c_122116,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_121856,c_121835,c_121841,c_676,c_121617,c_121568]) ).

tff(c_122117,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_122116]) ).

tff(c_122118,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_121565]) ).

tff(c_122120,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_122118]) ).

tff(c_122168,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_122120,c_830]) ).

tff(c_122167,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_122120,c_862]) ).

tff(c_122189,plain,
    sum(sum(pred('#skF_1'),n11),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_122167,c_118559]) ).

tff(c_122388,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_508,c_122168,c_122189]) ).

tff(c_122427,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_122388,c_122388,c_122388,c_818]) ).

tff(c_122400,plain,
    sum(n9,n7) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_122388,c_516]) ).

tff(c_122190,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_122167,c_118554]) ).

tff(c_122191,plain,
    sum(sum(pred('#skF_1'),n7),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_636,c_122190]) ).

tff(c_122665,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_122427,c_122400,c_122388,c_122168,c_122191]) ).

tff(c_122666,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_122665]) ).

tff(c_122667,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_122118]) ).

tff(c_122669,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_122667]) ).

tff(c_122716,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_122669,c_118336]) ).

tff(c_122715,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_122669,c_118335]) ).

tff(c_122743,plain,
    sum(sum(pred('#skF_1'),n7),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_122715,c_118559]) ).

tff(c_122942,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_410,c_644,c_122716,c_122743]) ).

tff(c_122988,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_122942,c_410]) ).

tff(c_122744,plain,
    sum(sum(pred('#skF_1'),n7),sum(n5,n7)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_122715,c_118554]) ).

tff(c_122745,plain,
    sum(sum(pred('#skF_1'),n7),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_644,c_122744]) ).

tff(c_123209,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_122988,c_644,c_122716,c_122745]) ).

tff(c_123210,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_123209]) ).

tff(c_123211,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_122667]) ).

tff(c_123213,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_123211]) ).

tff(c_123262,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_123213,c_864]) ).

tff(c_548,plain,
    sum(n8,n7) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_123261,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_123213,c_832]) ).

tff(c_123283,plain,
    sum(sum(n8,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_123261,c_118554]) ).

tff(c_123284,plain,
    sum(n15,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_548,c_123283]) ).

tff(c_123481,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_308,c_638,c_123262,c_123284]) ).

tff(c_123507,plain,
    sum(n2,n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_123481,c_730]) ).

tff(c_123282,plain,
    sum(sum(n8,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_123261,c_118559]) ).

tff(c_123748,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_123507,c_542,c_123262,c_123282]) ).

tff(c_123749,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_123748]) ).

tff(c_123750,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_123211]) ).

tff(c_123752,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_123750]) ).

tff(c_118334,plain,
    pred(n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_836]) ).

tff(c_123761,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_123752,c_118334]) ).

tff(c_123803,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_123752,c_868]) ).

tff(c_123826,plain,
    sum(sum(pred('#skF_1'),n8),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_123803,c_118559]) ).

tff(c_124019,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_346,c_118317,c_123761,c_123826]) ).

tff(c_124040,plain,
    sum(n13,n13) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_124019,c_376]) ).

tff(c_612,plain,
    sum(n6,n7) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_118329,plain,
    sum('#skF_2',n7) = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_118287,c_612]) ).

tff(c_123759,plain,
    sum('#skF_2','#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_123752,c_118329]) ).

tff(c_642,plain,
    sum(n5,n8) = n13,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_123753,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_123752,c_118554]) ).

tff(c_124286,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_124040,c_123759,c_123761,c_642,c_123803,c_123753]) ).

tff(c_124287,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_124286]) ).

tff(c_124288,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_123750]) ).

tff(c_124338,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_124288,c_866]) ).

tff(c_124336,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_124288,c_834]) ).

tff(c_124358,plain,
    sum(sum(n7,succ('#skF_1')),n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_124336,c_118559]) ).

tff(c_124557,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_794,c_576,c_124338,c_124358]) ).

tff(c_124588,plain,
    sum(n14,n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_124557,c_342]) ).

tff(c_640,plain,
    sum(n5,n9) = n14,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_124359,plain,
    sum(sum(n7,n7),sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_124336,c_118554]) ).

tff(c_124360,plain,
    sum(n14,sum(n5,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_124359]) ).

tff(c_124829,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_124588,c_640,c_124338,c_124360]) ).

tff(c_124830,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_124829]) ).

tff(c_124831,plain,
    ( ( n7 = '#skF_2' )
    | ( n8 = '#skF_2' )
    | ( n9 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_118285]) ).

tff(c_124833,plain,
    n9 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_124831]) ).

tff(c_124844,plain,
    sum(n7,'#skF_2') = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_576]) ).

tff(c_124843,plain,
    sum('#skF_2',n11) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_508]) ).

tff(c_125110,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_111482]) ).

tff(c_125111,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_125110]) ).

tff(c_125148,plain,
    sum(n4,'#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_125111,c_686]) ).

tff(c_125162,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_125111,c_846]) ).

tff(c_125159,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_125111,c_878]) ).

tff(c_124881,plain,
    succ('#skF_2') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_864]) ).

tff(c_124880,plain,
    pred('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_832]) ).

tff(c_124903,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n8,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_124880,c_300]) ).

tff(c_125105,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_124881,c_124903]) ).

tff(c_125112,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),'#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_125111,c_125105]) ).

tff(c_125379,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_125148,c_780,c_125162,c_125159,c_125112]) ).

tff(c_125406,plain,
    sum(n11,n11) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_125379,c_444]) ).

tff(c_124902,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_124880,c_302]) ).

tff(c_125100,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_124881,c_124902]) ).

tff(c_125185,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_125159,c_125100]) ).

tff(c_125186,plain,
    sum(sum(pred('#skF_1'),n10),n11) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_125185]) ).

tff(c_125646,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_125406,c_766,c_125162,c_125186]) ).

tff(c_125647,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_125646]) ).

tff(c_125648,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_125110]) ).

tff(c_125650,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_125648]) ).

tff(c_125698,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_125650,c_856]) ).

tff(c_125699,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_125650,c_824]) ).

tff(c_125724,plain,
    sum(sum(n12,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_125699,c_125100]) ).

tff(c_125725,plain,
    sum(n6,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_414,c_125724]) ).

tff(c_125918,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_534,c_125698,c_125725]) ).

tff(c_125956,plain,
    sum(n10,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_125918,c_494]) ).

tff(c_125963,plain,
    sum('#skF_3',n14) = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_125918,c_406]) ).

tff(c_125723,plain,
    sum(sum(n12,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_125699,c_125105]) ).

tff(c_126185,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_125956,c_125963,c_125918,c_125698,c_125723]) ).

tff(c_126186,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_126185]) ).

tff(c_126187,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_125648]) ).

tff(c_126189,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_126187]) ).

tff(c_126239,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_126189,c_876]) ).

tff(c_126238,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_126189,c_844]) ).

tff(c_126266,plain,
    sum(sum(n2,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_126238,c_125105]) ).

tff(c_126457,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_746,c_126239,c_126266]) ).

tff(c_126506,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_126457,c_410]) ).

tff(c_126488,plain,
    sum('#skF_4',n4) = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_126457,c_554]) ).

tff(c_126267,plain,
    sum(sum(n2,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_126238,c_125100]) ).

tff(c_126268,plain,
    sum(n12,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_126267]) ).

tff(c_126729,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_126506,c_126488,c_126457,c_126239,c_126268]) ).

tff(c_126730,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_126729]) ).

tff(c_126731,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_126187]) ).

tff(c_126733,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_126731]) ).

tff(c_126781,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_126733,c_858]) ).

tff(c_126782,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_126733,c_826]) ).

tff(c_126806,plain,
    sum(sum(n11,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_126782,c_125105]) ).

tff(c_127001,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_440,c_126781,c_126806]) ).

tff(c_127030,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_127001,c_648]) ).

tff(c_126807,plain,
    sum(sum(n11,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_126782,c_125100]) ).

tff(c_126808,plain,
    sum(n5,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_446,c_126807]) ).

tff(c_127268,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_127030,c_536,c_126781,c_126808]) ).

tff(c_127269,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_127268]) ).

tff(c_127270,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_126731]) ).

tff(c_127272,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_127270]) ).

tff(c_127321,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_127272,c_874]) ).

tff(c_127320,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_127272,c_842]) ).

tff(c_127342,plain,
    sum(sum(n3,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_127320,c_125100]) ).

tff(c_127343,plain,
    sum(n13,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_702,c_127342]) ).

tff(c_127540,plain,
    n10 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_376,c_552,c_127321,c_127343]) ).

tff(c_127569,plain,
    sum(n8,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_127540,c_558]) ).

tff(c_127341,plain,
    sum(sum(n3,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_127320,c_125105]) ).

tff(c_127807,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_127569,c_712,c_127321,c_127341]) ).

tff(c_127808,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_127807]) ).

tff(c_127809,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_127270]) ).

tff(c_127811,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_127809]) ).

tff(c_127860,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_127811,c_828]) ).

tff(c_127858,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_127811,c_860]) ).

tff(c_127880,plain,
    sum(sum(pred('#skF_1'),n12),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_127858,c_125105]) ).

tff(c_128079,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_474,c_127860,c_127880]) ).

tff(c_128100,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_128079,c_682]) ).

tff(c_127881,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_127858,c_125100]) ).

tff(c_127882,plain,
    sum(sum(pred('#skF_1'),n10),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_538,c_127881]) ).

tff(c_128346,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_128100,c_478,c_127860,c_127882]) ).

tff(c_128347,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_128346]) ).

tff(c_128348,plain,
    ( ( n10 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_127809]) ).

tff(c_128350,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_128348]) ).

tff(c_128399,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_128350,c_840]) ).

tff(c_128397,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_128350,c_872]) ).

tff(c_128427,plain,
    sum(sum(pred('#skF_1'),n6),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_128397,c_125105]) ).

tff(c_128618,plain,
    n12 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_678,c_128399,c_128427]) ).

tff(c_128652,plain,
    sum(n14,n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_128618,c_342]) ).

tff(c_128428,plain,
    sum(sum(pred('#skF_1'),n10),sum(n8,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_128397,c_125100]) ).

tff(c_128429,plain,
    sum(sum(pred('#skF_1'),n10),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_128428]) ).

tff(c_128885,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_128652,c_670,c_128399,c_128429]) ).

tff(c_128886,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_128885]) ).

tff(c_128887,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_128348]) ).

tff(c_128889,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_128887]) ).

tff(c_124879,plain,
    pred(n10) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_830]) ).

tff(c_128897,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_128889,c_124879]) ).

tff(c_128939,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_128889,c_862]) ).

tff(c_128959,plain,
    sum(sum(pred('#skF_1'),n11),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_128939,c_125105]) ).

tff(c_129156,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_124843,c_128897,c_128959]) ).

tff(c_129177,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_129156,c_716]) ).

tff(c_124836,plain,
    sum('#skF_2',n10) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_510]) ).

tff(c_128893,plain,
    sum('#skF_2','#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_128889,c_124836]) ).

tff(c_128890,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_128889,c_125100]) ).

tff(c_129423,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_129177,c_128893,c_128897,c_540,c_128939,c_128890]) ).

tff(c_129424,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_129423]) ).

tff(c_129425,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_128887]) ).

tff(c_129427,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_129425]) ).

tff(c_129476,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_129427,c_870]) ).

tff(c_129477,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_129427,c_838]) ).

tff(c_129501,plain,
    sum(sum(n5,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_129477,c_125100]) ).

tff(c_129502,plain,
    sum(n15,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_129501]) ).

tff(c_129695,plain,
    n14 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_308,c_548,c_129476,c_129502]) ).

tff(c_129723,plain,
    sum(n12,n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_129695,c_430]) ).

tff(c_129500,plain,
    sum(sum(n5,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_129477,c_125105]) ).

tff(c_129962,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_129723,c_644,c_129476,c_129500]) ).

tff(c_129963,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_129962]) ).

tff(c_129964,plain,
    ( ( n7 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_129425]) ).

tff(c_129966,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_129964]) ).

tff(c_130013,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_129966,c_124881]) ).

tff(c_130015,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_129966,c_124880]) ).

tff(c_130044,plain,
    sum(sum(n8,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_130015,c_125105]) ).

tff(c_130239,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_542,c_130013,c_130044]) ).

tff(c_130250,plain,
    sum(n2,n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_130239,c_750]) ).

tff(c_130045,plain,
    sum(sum(n8,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_130015,c_125100]) ).

tff(c_130046,plain,
    sum(n2,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_542,c_130045]) ).

tff(c_130506,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_130250,c_542,c_130013,c_130046]) ).

tff(c_130507,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_130506]) ).

tff(c_130508,plain,
    ( ( n8 = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_129964]) ).

tff(c_130510,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_130508]) ).

tff(c_130560,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_130510,c_868]) ).

tff(c_130557,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_130510,c_836]) ).

tff(c_130583,plain,
    sum(sum(n6,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_130557,c_125105]) ).

tff(c_130778,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_366,c_610,c_130560,c_130583]) ).

tff(c_130815,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_130778,c_130778,c_130778,c_818]) ).

tff(c_130818,plain,
    sum(n8,n8) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_130778,c_546]) ).

tff(c_130584,plain,
    sum(sum(n6,n10),sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_130557,c_125100]) ).

tff(c_130585,plain,
    sum(n0,sum(n8,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_130584]) ).

tff(c_131050,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_130815,c_130818,c_130778,c_130560,c_130585]) ).

tff(c_131051,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_131050]) ).

tff(c_131052,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_130508]) ).

tff(c_124882,plain,
    succ(n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_866]) ).

tff(c_131061,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_131052,c_124882]) ).

tff(c_131103,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_131052,c_834]) ).

tff(c_131127,plain,
    sum(sum(n7,succ('#skF_1')),n2) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_131103,c_125105]) ).

tff(c_131320,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_814,c_124844,c_131061,c_131127]) ).

tff(c_131363,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_131320,c_784]) ).

tff(c_544,plain,
    sum(n8,n9) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_124863,plain,
    sum(n8,'#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_124833,c_544]) ).

tff(c_131058,plain,
    sum('#skF_1','#skF_2') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_131052,c_124863]) ).

tff(c_574,plain,
    sum(n7,n10) = n1,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_131054,plain,
    sum(sum(pred('#skF_1'),n10),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_131052,c_125100]) ).

tff(c_131587,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_131363,c_131058,c_131061,c_574,c_131103,c_131054]) ).

tff(c_131588,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_131587]) ).

tff(c_131589,plain,
    ( ( n8 = '#skF_2' )
    | ( n7 = '#skF_2' ) ),
    inference(splitRight,[status(thm)],[c_124831]) ).

tff(c_131591,plain,
    n7 = '#skF_2',
    inference(splitLeft,[status(thm)],[c_131589]) ).

tff(c_131608,plain,
    sum('#skF_2',n9) = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_576]) ).

tff(c_131593,plain,
    sum(n5,'#skF_2') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_644]) ).

tff(c_131868,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_111482]) ).

tff(c_131869,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_131868]) ).

tff(c_131878,plain,
    sum(n9,n9) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_131869,c_512]) ).

tff(c_131919,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_131869,c_846]) ).

tff(c_131916,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_131869,c_878]) ).

tff(c_131640,plain,
    succ('#skF_2') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_868]) ).

tff(c_131637,plain,
    pred('#skF_2') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_836]) ).

tff(c_131660,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_131637,c_302]) ).

tff(c_131858,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_131640,c_131660]) ).

tff(c_131939,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_131916,c_131858]) ).

tff(c_131940,plain,
    sum(sum(pred('#skF_1'),n8),n9) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_131939]) ).

tff(c_132137,plain,
    '#skF_3' = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_131878,c_770,c_131919,c_131940]) ).

tff(c_132138,plain,
    '#skF_1' != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132137,c_2155]) ).

tff(c_131915,plain,
    sum(n4,n14) = '#skF_1',
    inference(demodulation,[status(thm),theory(equality)],[c_131869,c_662]) ).

tff(c_131661,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n6,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_131637,c_300]) ).

tff(c_131863,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_131640,c_131661]) ).

tff(c_131938,plain,
    sum(sum(pred('#skF_1'),n3),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_131916,c_131863]) ).

tff(c_132147,plain,
    '#skF_1' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_131915,c_780,c_131919,c_131938]) ).

tff(c_132148,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_132138,c_132147]) ).

tff(c_132149,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_131868]) ).

tff(c_132151,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_132149]) ).

tff(c_132199,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_132151,c_856]) ).

tff(c_132200,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_132151,c_824]) ).

tff(c_132224,plain,
    sum(sum(n12,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132200,c_131863]) ).

tff(c_132419,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_406,c_132199,c_132224]) ).

tff(c_132440,plain,
    sum(n4,n4) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132419,c_682]) ).

tff(c_132225,plain,
    sum(sum(n12,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_132200,c_131858]) ).

tff(c_132226,plain,
    sum(n4,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_418,c_132225]) ).

tff(c_132686,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132440,c_598,c_132199,c_132226]) ).

tff(c_132687,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_132686]) ).

tff(c_132688,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_132149]) ).

tff(c_132690,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_132688]) ).

tff(c_132740,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_132690,c_876]) ).

tff(c_132739,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_132690,c_844]) ).

tff(c_132763,plain,
    sum(sum(n2,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132739,c_131863]) ).

tff(c_132958,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_746,c_132740,c_132763]) ).

tff(c_132986,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132958,c_478]) ).

tff(c_132982,plain,
    sum(n6,'#skF_4') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_132958,c_618]) ).

tff(c_132966,plain,
    succ('#skF_1') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132958,c_132740]) ).

tff(c_132764,plain,
    sum(sum(n2,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_132739,c_131858]) ).

tff(c_132765,plain,
    sum(n10,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_738,c_132764]) ).

tff(c_133225,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_132986,c_132982,c_132966,c_132765]) ).

tff(c_133226,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_133225]) ).

tff(c_133227,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_132688]) ).

tff(c_133229,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_133227]) ).

tff(c_133277,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_133229,c_858]) ).

tff(c_133278,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_133229,c_826]) ).

tff(c_133303,plain,
    sum(sum(n11,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_133278,c_131858]) ).

tff(c_133304,plain,
    sum(n3,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_450,c_133303]) ).

tff(c_133497,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_600,c_133277,c_133304]) ).

tff(c_133522,plain,
    sum(n8,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_133497,c_534]) ).

tff(c_133302,plain,
    sum(sum(n11,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_133278,c_131863]) ).

tff(c_133764,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_133522,c_440,c_133277,c_133302]) ).

tff(c_133765,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_133764]) ).

tff(c_133766,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_133227]) ).

tff(c_133768,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_133766]) ).

tff(c_133816,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_133768,c_842]) ).

tff(c_133817,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_133768,c_874]) ).

tff(c_133841,plain,
    sum(sum(pred('#skF_1'),n5),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_133817,c_131863]) ).

tff(c_134036,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_712,c_133816,c_133841]) ).

tff(c_134064,plain,
    sum(n11,n11) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_134036,c_444]) ).

tff(c_133842,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_133817,c_131858]) ).

tff(c_133843,plain,
    sum(sum(pred('#skF_1'),n8),n11) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_616,c_133842]) ).

tff(c_134303,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_134064,c_706,c_133816,c_133843]) ).

tff(c_134304,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_134303]) ).

tff(c_134305,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_133766]) ).

tff(c_134307,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_134305]) ).

tff(c_134354,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_134307,c_860]) ).

tff(c_134356,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_134307,c_828]) ).

tff(c_134385,plain,
    sum(sum(n10,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_134356,c_131858]) ).

tff(c_134386,plain,
    sum(n2,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_482,c_134385]) ).

tff(c_134575,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_602,c_134354,c_134386]) ).

tff(c_134608,plain,
    sum(n6,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_134575,c_598]) ).

tff(c_134384,plain,
    sum(sum(n10,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_134356,c_131863]) ).

tff(c_134842,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_134608,c_474,c_134354,c_134384]) ).

tff(c_134843,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_134842]) ).

tff(c_134844,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_134305]) ).

tff(c_134846,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_134844]) ).

tff(c_134895,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_134846,c_840]) ).

tff(c_134893,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_134846,c_872]) ).

tff(c_134919,plain,
    sum(sum(pred('#skF_1'),n6),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_134893,c_131863]) ).

tff(c_135114,plain,
    n8 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_470,c_678,c_134895,c_134919]) ).

tff(c_135163,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_135114,c_410]) ).

tff(c_135142,plain,
    sum(n4,'#skF_4') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_135114,c_674]) ).

tff(c_134920,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n6)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_134893,c_131858]) ).

tff(c_134921,plain,
    sum(sum(pred('#skF_1'),n8),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_134920]) ).

tff(c_135381,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_135163,c_135142,c_135114,c_134895,c_134921]) ).

tff(c_135382,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_135381]) ).

tff(c_135383,plain,
    ( ( n6 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_134844]) ).

tff(c_135385,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_135383]) ).

tff(c_135432,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_135385,c_862]) ).

tff(c_135433,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_135385,c_830]) ).

tff(c_135454,plain,
    sum(sum(n9,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_135433,c_131863]) ).

tff(c_135653,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_662,c_508,c_135432,c_135454]) ).

tff(c_135696,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_135653,c_784]) ).

tff(c_135455,plain,
    sum(sum(n9,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_135433,c_131858]) ).

tff(c_135456,plain,
    sum(n1,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_135455]) ).

tff(c_135920,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_135696,c_604,c_135432,c_135456]) ).

tff(c_135921,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_135920]) ).

tff(c_135922,plain,
    ( ( n9 = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_135383]) ).

tff(c_135924,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_135922]) ).

tff(c_131638,plain,
    succ(n6) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_870]) ).

tff(c_135932,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_135924,c_131638]) ).

tff(c_135975,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_135924,c_838]) ).

tff(c_135994,plain,
    sum(sum(n5,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_135975,c_131863]) ).

tff(c_136191,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_406,c_131593,c_135932,c_135994]) ).

tff(c_136212,plain,
    sum(n13,n13) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_136191,c_376]) ).

tff(c_131633,plain,
    sum(n6,'#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_612]) ).

tff(c_135930,plain,
    sum('#skF_1','#skF_2') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_135924,c_131633]) ).

tff(c_135925,plain,
    sum(sum(pred('#skF_1'),n8),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_135924,c_131858]) ).

tff(c_136458,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_136212,c_135930,c_135932,c_642,c_135975,c_135925]) ).

tff(c_136459,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_136458]) ).

tff(c_136460,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n8 = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_135922]) ).

tff(c_136462,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_136460]) ).

tff(c_136511,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_136462,c_864]) ).

tff(c_136510,plain,
    pred('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_136462,c_832]) ).

tff(c_136535,plain,
    sum(sum(n8,succ('#skF_1')),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_136510,c_131863]) ).

tff(c_136730,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_542,c_136511,c_136535]) ).

tff(c_136767,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_136730,c_136730,c_136730,c_818]) ).

tff(c_136774,plain,
    sum(n6,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_136730,c_606]) ).

tff(c_136536,plain,
    sum(sum(n8,n8),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_136510,c_131858]) ).

tff(c_136537,plain,
    sum(n0,sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_546,c_136536]) ).

tff(c_137002,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_136767,c_136774,c_136730,c_136511,c_136537]) ).

tff(c_137003,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_137002]) ).

tff(c_137004,plain,
    ( ( n8 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_136460]) ).

tff(c_137006,plain,
    '#skF_2' = '#skF_1',
    inference(splitLeft,[status(thm)],[c_137004]) ).

tff(c_137055,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_137006,c_131637]) ).

tff(c_137054,plain,
    succ('#skF_1') = n8,
    inference(demodulation,[status(thm),theory(equality)],[c_137006,c_131640]) ).

tff(c_137089,plain,
    sum(sum(pred('#skF_1'),n8),sum(n6,n8)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_137054,c_131858]) ).

tff(c_137090,plain,
    sum(sum(pred('#skF_1'),n8),n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_137089]) ).

tff(c_137279,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_610,c_137055,c_137090]) ).

tff(c_137309,plain,
    sum(n14,n14) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_137279,c_342]) ).

tff(c_137088,plain,
    sum(sum(pred('#skF_1'),n8),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_137054,c_131863]) ).

tff(c_137546,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_137309,c_610,c_137055,c_137088]) ).

tff(c_137547,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_137546]) ).

tff(c_137548,plain,
    n8 = '#skF_1',
    inference(splitRight,[status(thm)],[c_137004]) ).

tff(c_131639,plain,
    pred(n8) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_834]) ).

tff(c_137557,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_137548,c_131639]) ).

tff(c_137600,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_137548,c_866]) ).

tff(c_137623,plain,
    sum(sum(pred('#skF_1'),n9),n14) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_137600,c_131863]) ).

tff(c_137816,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_790,c_131608,c_137557,c_137623]) ).

tff(c_137848,plain,
    sum(n15,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_137816,c_308]) ).

tff(c_578,plain,
    sum(n7,n8) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_131611,plain,
    sum('#skF_2',n8) = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_131591,c_578]) ).

tff(c_137551,plain,
    sum('#skF_2','#skF_1') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_137548,c_131611]) ).

tff(c_608,plain,
    sum(n6,n9) = n15,
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_137550,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n6,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_137548,c_131858]) ).

tff(c_138083,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_137848,c_137551,c_137557,c_608,c_137600,c_137550]) ).

tff(c_138084,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_138083]) ).

tff(c_138085,plain,
    n8 = '#skF_2',
    inference(splitRight,[status(thm)],[c_131589]) ).

tff(c_138121,plain,
    sum(n6,'#skF_2') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_610]) ).

tff(c_138118,plain,
    sum('#skF_2',n10) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_542]) ).

tff(c_138101,plain,
    sum('#skF_2',n0) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_138085,c_562]) ).

tff(c_138088,plain,
    sum(n3,n5) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_712]) ).

tff(c_138092,plain,
    sum(n4,n4) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_682]) ).

tff(c_138363,plain,
    ( ( n13 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' )
    | ( n2 = '#skF_1' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_111482]) ).

tff(c_138364,plain,
    n2 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_138363]) ).

tff(c_138414,plain,
    pred('#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_138364,c_846]) ).

tff(c_138411,plain,
    succ('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_138364,c_878]) ).

tff(c_138134,plain,
    succ('#skF_2') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_866]) ).

tff(c_138132,plain,
    pred('#skF_2') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_834]) ).

tff(c_138156,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),sum(n7,succ('#skF_2'))) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_138132,c_300]) ).

tff(c_138358,plain,
    sum(sum(pred('#skF_1'),succ('#skF_1')),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_576,c_138134,c_138156]) ).

tff(c_138433,plain,
    sum(sum(pred('#skF_1'),n3),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_138411,c_138358]) ).

tff(c_138632,plain,
    n4 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_780,c_138414,c_138433]) ).

tff(c_138659,plain,
    sum(n10,n10) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_138632,c_478]) ).

tff(c_138155,plain,
    sum(sum(pred('#skF_1'),succ('#skF_2')),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_138132,c_302]) ).

tff(c_138353,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_138134,c_138155]) ).

tff(c_138434,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n3)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_138411,c_138353]) ).

tff(c_138435,plain,
    sum(sum(pred('#skF_1'),n9),n10) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_138434]) ).

tff(c_138899,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_138659,c_768,c_138414,c_138435]) ).

tff(c_138900,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_138899]) ).

tff(c_138901,plain,
    ( ( n3 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' )
    | ( n13 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_138363]) ).

tff(c_138903,plain,
    n13 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_138901]) ).

tff(c_138951,plain,
    succ('#skF_1') = n14,
    inference(demodulation,[status(thm),theory(equality)],[c_138903,c_856]) ).

tff(c_138952,plain,
    pred('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_138903,c_824]) ).

tff(c_138976,plain,
    sum(sum(n12,succ('#skF_1')),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_138952,c_138358]) ).

tff(c_139171,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_406,c_138951,c_138976]) ).

tff(c_139197,plain,
    sum(n5,n5) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_139171,c_648]) ).

tff(c_138977,plain,
    sum(sum(n12,n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_138952,c_138353]) ).

tff(c_138978,plain,
    sum(n5,sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_416,c_138977]) ).

tff(c_139438,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_139197,c_566,c_138951,c_138978]) ).

tff(c_139439,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_139438]) ).

tff(c_139440,plain,
    ( ( n12 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' )
    | ( n3 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_138901]) ).

tff(c_139442,plain,
    n3 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_139440]) ).

tff(c_139492,plain,
    succ('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_139442,c_876]) ).

tff(c_139491,plain,
    pred('#skF_1') = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_139442,c_844]) ).

tff(c_139516,plain,
    sum(sum(n2,n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_139491,c_138353]) ).

tff(c_139517,plain,
    sum(n11,sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_139516]) ).

tff(c_139710,plain,
    n6 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_444,c_586,c_139492,c_139517]) ).

tff(c_139746,plain,
    sum('#skF_3',n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_139710,c_139710,c_626]) ).

tff(c_139745,plain,
    sum(n2,n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_139710,c_746]) ).

tff(c_139515,plain,
    sum(sum(n2,succ('#skF_1')),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_139491,c_138358]) ).

tff(c_139977,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_139746,c_139745,c_139492,c_139515]) ).

tff(c_139978,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_139977]) ).

tff(c_139979,plain,
    ( ( n4 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' )
    | ( n12 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_139440]) ).

tff(c_139981,plain,
    n12 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_139979]) ).

tff(c_140030,plain,
    pred('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_139981,c_826]) ).

tff(c_140029,plain,
    succ('#skF_1') = n13,
    inference(demodulation,[status(thm),theory(equality)],[c_139981,c_858]) ).

tff(c_140051,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n13)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_140029,c_138353]) ).

tff(c_140052,plain,
    sum(sum(pred('#skF_1'),n9),n4) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_140051]) ).

tff(c_140249,plain,
    '#skF_2' = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_138092,c_448,c_140030,c_140052]) ).

tff(c_140268,plain,
    sum('#skF_3',n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_140249,c_140249,c_138101]) ).

tff(c_138117,plain,
    sum(n11,n13) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_440]) ).

tff(c_140277,plain,
    sum(n11,n13) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_140249,c_138117]) ).

tff(c_140050,plain,
    sum(sum(pred('#skF_1'),n13),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_140029,c_138358]) ).

tff(c_140531,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_140268,c_140277,c_140030,c_140050]) ).

tff(c_140532,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_140531]) ).

tff(c_140533,plain,
    ( ( n11 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' )
    | ( n4 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_139979]) ).

tff(c_140535,plain,
    n4 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_140533]) ).

tff(c_140583,plain,
    pred('#skF_1') = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_140535,c_842]) ).

tff(c_140584,plain,
    succ('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_140535,c_874]) ).

tff(c_140608,plain,
    sum(sum(pred('#skF_1'),n5),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_140584,c_138358]) ).

tff(c_140803,plain,
    '#skF_2' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_138101,c_138088,c_140583,c_140608]) ).

tff(c_138131,plain,
    sum(n12,n12) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_410]) ).

tff(c_140845,plain,
    sum(n12,n12) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_140803,c_138131]) ).

tff(c_140609,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n5)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_140584,c_138353]) ).

tff(c_140610,plain,
    sum(sum(pred('#skF_1'),n9),n12) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_140609]) ).

tff(c_141089,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_140845,c_704,c_140583,c_140610]) ).

tff(c_141090,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_141089]) ).

tff(c_141091,plain,
    ( ( n5 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' )
    | ( n11 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_140533]) ).

tff(c_141093,plain,
    n11 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_141091]) ).

tff(c_141142,plain,
    pred('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_141093,c_828]) ).

tff(c_141140,plain,
    succ('#skF_1') = n12,
    inference(demodulation,[status(thm),theory(equality)],[c_141093,c_860]) ).

tff(c_141166,plain,
    sum(sum(pred('#skF_1'),n12),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_141140,c_138358]) ).

tff(c_141361,plain,
    n6 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_626,c_474,c_141142,c_141166]) ).

tff(c_141381,plain,
    sum(n3,n3) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_141361,c_716]) ).

tff(c_141167,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n12)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_141140,c_138353]) ).

tff(c_141168,plain,
    sum(sum(pred('#skF_1'),n9),n3) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_570,c_141167]) ).

tff(c_141628,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_141381,c_480,c_141142,c_141168]) ).

tff(c_141629,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_141628]) ).

tff(c_141630,plain,
    ( ( n10 = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' )
    | ( n5 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_141091]) ).

tff(c_141632,plain,
    n5 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_141630]) ).

tff(c_141679,plain,
    succ('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_141632,c_872]) ).

tff(c_141681,plain,
    pred('#skF_1') = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_141632,c_840]) ).

tff(c_141709,plain,
    sum(sum(n4,succ('#skF_1')),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_141681,c_138358]) ).

tff(c_141900,plain,
    n10 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_678,c_141679,c_141709]) ).

tff(c_141925,plain,
    sum(n13,n13) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_141900,c_376]) ).

tff(c_141710,plain,
    sum(sum(n4,n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_141681,c_138353]) ).

tff(c_141711,plain,
    sum(n13,sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_672,c_141710]) ).

tff(c_142167,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_141925,c_582,c_141679,c_141711]) ).

tff(c_142168,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_142167]) ).

tff(c_142169,plain,
    ( ( n6 = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' )
    | ( n10 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_141630]) ).

tff(c_142171,plain,
    n10 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_142169]) ).

tff(c_142219,plain,
    pred('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_142171,c_830]) ).

tff(c_142218,plain,
    succ('#skF_1') = n11,
    inference(demodulation,[status(thm),theory(equality)],[c_142171,c_862]) ).

tff(c_142241,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n11)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_142218,c_138353]) ).

tff(c_142242,plain,
    sum(sum(pred('#skF_1'),n9),n2) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_572,c_142241]) ).

tff(c_142439,plain,
    n4 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_512,c_142219,c_142242]) ).

tff(c_142469,plain,
    sum('#skF_3',n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_142439,c_142439,c_690]) ).

tff(c_142460,plain,
    sum(n9,n11) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_142439,c_508]) ).

tff(c_142240,plain,
    sum(sum(pred('#skF_1'),n11),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_142218,c_138358]) ).

tff(c_142711,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_142469,c_142460,c_142219,c_142240]) ).

tff(c_142712,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_142711]) ).

tff(c_142713,plain,
    ( ( n9 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' )
    | ( n6 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_142169]) ).

tff(c_142715,plain,
    n6 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_142713]) ).

tff(c_142764,plain,
    succ('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_142715,c_870]) ).

tff(c_142765,plain,
    pred('#skF_1') = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_142715,c_838]) ).

tff(c_142789,plain,
    sum(sum(n5,n9),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_142765,c_138353]) ).

tff(c_142790,plain,
    sum(n14,sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_142789]) ).

tff(c_142983,plain,
    n12 = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_342,c_580,c_142764,c_142790]) ).

tff(c_143029,plain,
    sum('#skF_3',n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_142983,c_142983,c_434]) ).

tff(c_142996,plain,
    sum(n5,n7) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_142983,c_644]) ).

tff(c_142788,plain,
    sum(sum(n5,succ('#skF_1')),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_142765,c_138358]) ).

tff(c_143250,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_143029,c_142996,c_142764,c_142788]) ).

tff(c_143251,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_143250]) ).

tff(c_143252,plain,
    ( ( n7 = '#skF_1' )
    | ( '#skF_2' = '#skF_1' )
    | ( n9 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_142713]) ).

tff(c_143254,plain,
    n9 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_143252]) ).

tff(c_138133,plain,
    pred(n9) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_832]) ).

tff(c_143263,plain,
    pred('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_143254,c_138133]) ).

tff(c_143305,plain,
    succ('#skF_1') = n10,
    inference(demodulation,[status(thm),theory(equality)],[c_143254,c_864]) ).

tff(c_143324,plain,
    sum(sum(pred('#skF_1'),n10),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_143305,c_138358]) ).

tff(c_143521,plain,
    n2 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_754,c_138118,c_143263,c_143324]) ).

tff(c_143564,plain,
    sum(n1,n1) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_143521,c_784]) ).

tff(c_138114,plain,
    sum('#skF_2',n9) = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_544]) ).

tff(c_143258,plain,
    sum('#skF_2','#skF_1') = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_143254,c_138114]) ).

tff(c_143255,plain,
    sum(sum(pred('#skF_1'),'#skF_1'),sum(n7,succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_143254,c_138353]) ).

tff(c_143788,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_143564,c_143258,c_143263,c_574,c_143305,c_143255]) ).

tff(c_143789,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_143788]) ).

tff(c_143790,plain,
    ( ( '#skF_2' = '#skF_1' )
    | ( n7 = '#skF_1' ) ),
    inference(splitRight,[status(thm)],[c_143252]) ).

tff(c_143792,plain,
    n7 = '#skF_1',
    inference(splitLeft,[status(thm)],[c_143790]) ).

tff(c_138135,plain,
    succ(n7) = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_868]) ).

tff(c_143800,plain,
    succ('#skF_1') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_143792,c_138135]) ).

tff(c_143842,plain,
    pred('#skF_1') = n6,
    inference(demodulation,[status(thm),theory(equality)],[c_143792,c_836]) ).

tff(c_143866,plain,
    sum(sum(n6,succ('#skF_1')),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_143842,c_138358]) ).

tff(c_144059,plain,
    n14 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_138121,c_143800,c_143866]) ).

tff(c_144091,plain,
    sum(n15,n15) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_144059,c_308]) ).

tff(c_138099,plain,
    sum(n7,'#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_138085,c_578]) ).

tff(c_143795,plain,
    sum('#skF_1','#skF_2') = n15,
    inference(demodulation,[status(thm),theory(equality)],[c_143792,c_138099]) ).

tff(c_143793,plain,
    sum(sum(pred('#skF_1'),n9),sum('#skF_1',succ('#skF_1'))) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_143792,c_138353]) ).

tff(c_144326,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_144091,c_143795,c_143800,c_608,c_143842,c_143793]) ).

tff(c_144327,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_144326]) ).

tff(c_144328,plain,
    '#skF_2' = '#skF_1',
    inference(splitRight,[status(thm)],[c_143790]) ).

tff(c_144378,plain,
    pred('#skF_1') = n7,
    inference(demodulation,[status(thm),theory(equality)],[c_144328,c_138132]) ).

tff(c_144375,plain,
    succ('#skF_1') = n9,
    inference(demodulation,[status(thm),theory(equality)],[c_144328,c_138134]) ).

tff(c_144403,plain,
    sum(sum(pred('#skF_1'),n9),n0) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_144375,c_138358]) ).

tff(c_144602,plain,
    n0 = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_818,c_576,c_144378,c_144403]) ).

tff(c_144638,plain,
    sum('#skF_4','#skF_4') = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_144602,c_144602,c_144602,c_818]) ).

tff(c_144619,plain,
    sum(n7,n9) = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_144602,c_576]) ).

tff(c_144404,plain,
    sum(sum(pred('#skF_1'),n9),sum(n7,n9)) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_144375,c_138353]) ).

tff(c_144405,plain,
    sum(sum(pred('#skF_1'),n9),n0) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_576,c_144404]) ).

tff(c_144874,plain,
    '#skF_3' = '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_144638,c_144619,c_144602,c_144378,c_144405]) ).

tff(c_144875,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2155,c_144874]) ).

tff(c_144877,plain,
    '#skF_3' = '#skF_4',
    inference(splitRight,[status(thm)],[c_242]) ).

tff(c_296,plain,
    sum(sum(pred('#skF_3'),succ('#skF_3')),sum(pred('#skF_4'),succ('#skF_4'))) = '#skF_6',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_144878,plain,
    sum(sum(pred('#skF_4'),succ('#skF_4')),sum(pred('#skF_4'),succ('#skF_4'))) = '#skF_6',
    inference(demodulation,[status(thm),theory(equality)],[c_144877,c_144877,c_296]) ).

tff(c_298,plain,
    sum(sum(pred('#skF_3'),succ('#skF_4')),sum(pred('#skF_4'),succ('#skF_3'))) = '#skF_5',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_144879,plain,
    sum(sum(pred('#skF_4'),succ('#skF_4')),sum(pred('#skF_4'),succ('#skF_4'))) = '#skF_5',
    inference(demodulation,[status(thm),theory(equality)],[c_144877,c_144877,c_298]) ).

tff(c_144889,plain,
    '#skF_5' = '#skF_6',
    inference(demodulation,[status(thm),theory(equality)],[c_144878,c_144879]) ).

tff(c_292,plain,
    sum(sum(pred('#skF_5'),succ('#skF_5')),sum(pred('#skF_6'),succ('#skF_6'))) = '#skF_8',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_144891,plain,
    sum(sum(pred('#skF_6'),succ('#skF_6')),sum(pred('#skF_6'),succ('#skF_6'))) = '#skF_8',
    inference(demodulation,[status(thm),theory(equality)],[c_144889,c_144889,c_292]) ).

tff(c_294,plain,
    sum(sum(pred('#skF_5'),succ('#skF_6')),sum(pred('#skF_6'),succ('#skF_5'))) = '#skF_7',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_144890,plain,
    sum(sum(pred('#skF_6'),succ('#skF_6')),sum(pred('#skF_6'),succ('#skF_6'))) = '#skF_7',
    inference(demodulation,[status(thm),theory(equality)],[c_144889,c_144889,c_294]) ).

tff(c_144904,plain,
    '#skF_7' = '#skF_8',
    inference(demodulation,[status(thm),theory(equality)],[c_144891,c_144890]) ).

tff(c_290,plain,
    sum(sum(pred('#skF_7'),succ('#skF_8')),sum(pred('#skF_8'),succ('#skF_7'))) = '#skF_9',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_144909,plain,
    sum(sum(pred('#skF_8'),succ('#skF_8')),sum(pred('#skF_8'),succ('#skF_8'))) = '#skF_9',
    inference(demodulation,[status(thm),theory(equality)],[c_144904,c_144904,c_290]) ).

tff(c_288,plain,
    sum(sum(pred('#skF_7'),succ('#skF_7')),sum(pred('#skF_8'),succ('#skF_8'))) = '#skF_10',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_144910,plain,
    sum(sum(pred('#skF_8'),succ('#skF_8')),sum(pred('#skF_8'),succ('#skF_8'))) = '#skF_10',
    inference(demodulation,[status(thm),theory(equality)],[c_144904,c_144904,c_288]) ).

tff(c_146069,plain,
    '#skF_10' = '#skF_9',
    inference(demodulation,[status(thm),theory(equality)],[c_144909,c_144910]) ).

tff(c_284,plain,
    sum(sum(pred('#skF_9'),succ('#skF_9')),sum(pred('#skF_10'),succ('#skF_10'))) = '#skF_12',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146070,plain,
    sum(sum(pred('#skF_9'),succ('#skF_9')),sum(pred('#skF_9'),succ('#skF_9'))) = '#skF_12',
    inference(demodulation,[status(thm),theory(equality)],[c_146069,c_146069,c_284]) ).

tff(c_286,plain,
    sum(sum(pred('#skF_9'),succ('#skF_10')),sum(pred('#skF_10'),succ('#skF_9'))) = '#skF_11',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146071,plain,
    sum(sum(pred('#skF_9'),succ('#skF_9')),sum(pred('#skF_9'),succ('#skF_9'))) = '#skF_11',
    inference(demodulation,[status(thm),theory(equality)],[c_146069,c_146069,c_286]) ).

tff(c_146080,plain,
    '#skF_11' = '#skF_12',
    inference(demodulation,[status(thm),theory(equality)],[c_146070,c_146071]) ).

tff(c_282,plain,
    sum(sum(pred('#skF_11'),succ('#skF_12')),sum(pred('#skF_12'),succ('#skF_11'))) = '#skF_13',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146082,plain,
    sum(sum(pred('#skF_12'),succ('#skF_12')),sum(pred('#skF_12'),succ('#skF_12'))) = '#skF_13',
    inference(demodulation,[status(thm),theory(equality)],[c_146080,c_146080,c_282]) ).

tff(c_280,plain,
    sum(sum(pred('#skF_11'),succ('#skF_11')),sum(pred('#skF_12'),succ('#skF_12'))) = '#skF_14',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146081,plain,
    sum(sum(pred('#skF_12'),succ('#skF_12')),sum(pred('#skF_12'),succ('#skF_12'))) = '#skF_14',
    inference(demodulation,[status(thm),theory(equality)],[c_146080,c_146080,c_280]) ).

tff(c_146091,plain,
    '#skF_14' = '#skF_13',
    inference(demodulation,[status(thm),theory(equality)],[c_146082,c_146081]) ).

tff(c_276,plain,
    sum(sum(pred('#skF_13'),succ('#skF_13')),sum(pred('#skF_14'),succ('#skF_14'))) = '#skF_16',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146097,plain,
    sum(sum(pred('#skF_13'),succ('#skF_13')),sum(pred('#skF_13'),succ('#skF_13'))) = '#skF_16',
    inference(demodulation,[status(thm),theory(equality)],[c_146091,c_146091,c_276]) ).

tff(c_278,plain,
    sum(sum(pred('#skF_13'),succ('#skF_14')),sum(pred('#skF_14'),succ('#skF_13'))) = '#skF_15',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146096,plain,
    sum(sum(pred('#skF_13'),succ('#skF_13')),sum(pred('#skF_13'),succ('#skF_13'))) = '#skF_15',
    inference(demodulation,[status(thm),theory(equality)],[c_146091,c_146091,c_278]) ).

tff(c_146106,plain,
    '#skF_15' = '#skF_16',
    inference(demodulation,[status(thm),theory(equality)],[c_146097,c_146096]) ).

tff(c_274,plain,
    sum(sum(pred('#skF_15'),succ('#skF_16')),sum(pred('#skF_16'),succ('#skF_15'))) = '#skF_17',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146112,plain,
    sum(sum(pred('#skF_16'),succ('#skF_16')),sum(pred('#skF_16'),succ('#skF_16'))) = '#skF_17',
    inference(demodulation,[status(thm),theory(equality)],[c_146106,c_146106,c_274]) ).

tff(c_272,plain,
    sum(sum(pred('#skF_15'),succ('#skF_15')),sum(pred('#skF_16'),succ('#skF_16'))) = '#skF_18',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146111,plain,
    sum(sum(pred('#skF_16'),succ('#skF_16')),sum(pred('#skF_16'),succ('#skF_16'))) = '#skF_18',
    inference(demodulation,[status(thm),theory(equality)],[c_146106,c_146106,c_272]) ).

tff(c_146121,plain,
    '#skF_18' = '#skF_17',
    inference(demodulation,[status(thm),theory(equality)],[c_146112,c_146111]) ).

tff(c_270,plain,
    sum(sum(pred('#skF_17'),succ('#skF_18')),sum(pred('#skF_18'),succ('#skF_17'))) = '#skF_19',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146126,plain,
    sum(sum(pred('#skF_17'),succ('#skF_17')),sum(pred('#skF_17'),succ('#skF_17'))) = '#skF_19',
    inference(demodulation,[status(thm),theory(equality)],[c_146121,c_146121,c_270]) ).

tff(c_268,plain,
    sum(sum(pred('#skF_17'),succ('#skF_17')),sum(pred('#skF_18'),succ('#skF_18'))) = '#skF_20',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146127,plain,
    sum(sum(pred('#skF_17'),succ('#skF_17')),sum(pred('#skF_17'),succ('#skF_17'))) = '#skF_20',
    inference(demodulation,[status(thm),theory(equality)],[c_146121,c_146121,c_268]) ).

tff(c_146136,plain,
    '#skF_20' = '#skF_19',
    inference(demodulation,[status(thm),theory(equality)],[c_146126,c_146127]) ).

tff(c_264,plain,
    sum(sum(pred('#skF_19'),succ('#skF_19')),sum(pred('#skF_20'),succ('#skF_20'))) = '#skF_22',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146138,plain,
    sum(sum(pred('#skF_19'),succ('#skF_19')),sum(pred('#skF_19'),succ('#skF_19'))) = '#skF_22',
    inference(demodulation,[status(thm),theory(equality)],[c_146136,c_146136,c_264]) ).

tff(c_266,plain,
    sum(sum(pred('#skF_19'),succ('#skF_20')),sum(pred('#skF_20'),succ('#skF_19'))) = '#skF_21',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146137,plain,
    sum(sum(pred('#skF_19'),succ('#skF_19')),sum(pred('#skF_19'),succ('#skF_19'))) = '#skF_21',
    inference(demodulation,[status(thm),theory(equality)],[c_146136,c_146136,c_266]) ).

tff(c_146147,plain,
    '#skF_21' = '#skF_22',
    inference(demodulation,[status(thm),theory(equality)],[c_146138,c_146137]) ).

tff(c_262,plain,
    sum(sum(pred('#skF_21'),succ('#skF_22')),sum(pred('#skF_22'),succ('#skF_21'))) = '#skF_23',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146153,plain,
    sum(sum(pred('#skF_22'),succ('#skF_22')),sum(pred('#skF_22'),succ('#skF_22'))) = '#skF_23',
    inference(demodulation,[status(thm),theory(equality)],[c_146147,c_146147,c_262]) ).

tff(c_260,plain,
    sum(sum(pred('#skF_21'),succ('#skF_21')),sum(pred('#skF_22'),succ('#skF_22'))) = '#skF_24',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146152,plain,
    sum(sum(pred('#skF_22'),succ('#skF_22')),sum(pred('#skF_22'),succ('#skF_22'))) = '#skF_24',
    inference(demodulation,[status(thm),theory(equality)],[c_146147,c_146147,c_260]) ).

tff(c_146162,plain,
    '#skF_24' = '#skF_23',
    inference(demodulation,[status(thm),theory(equality)],[c_146153,c_146152]) ).

tff(c_256,plain,
    sum(sum(pred('#skF_23'),succ('#skF_23')),sum(pred('#skF_24'),succ('#skF_24'))) = '#skF_26',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146168,plain,
    sum(sum(pred('#skF_23'),succ('#skF_23')),sum(pred('#skF_23'),succ('#skF_23'))) = '#skF_26',
    inference(demodulation,[status(thm),theory(equality)],[c_146162,c_146162,c_256]) ).

tff(c_258,plain,
    sum(sum(pred('#skF_23'),succ('#skF_24')),sum(pred('#skF_24'),succ('#skF_23'))) = '#skF_25',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146167,plain,
    sum(sum(pred('#skF_23'),succ('#skF_23')),sum(pred('#skF_23'),succ('#skF_23'))) = '#skF_25',
    inference(demodulation,[status(thm),theory(equality)],[c_146162,c_146162,c_258]) ).

tff(c_146177,plain,
    '#skF_25' = '#skF_26',
    inference(demodulation,[status(thm),theory(equality)],[c_146168,c_146167]) ).

tff(c_254,plain,
    sum(sum(pred('#skF_25'),succ('#skF_26')),sum(pred('#skF_26'),succ('#skF_25'))) = '#skF_27',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146182,plain,
    sum(sum(pred('#skF_26'),succ('#skF_26')),sum(pred('#skF_26'),succ('#skF_26'))) = '#skF_27',
    inference(demodulation,[status(thm),theory(equality)],[c_146177,c_146177,c_254]) ).

tff(c_252,plain,
    sum(sum(pred('#skF_25'),succ('#skF_25')),sum(pred('#skF_26'),succ('#skF_26'))) = '#skF_28',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146183,plain,
    sum(sum(pred('#skF_26'),succ('#skF_26')),sum(pred('#skF_26'),succ('#skF_26'))) = '#skF_28',
    inference(demodulation,[status(thm),theory(equality)],[c_146177,c_146177,c_252]) ).

tff(c_146192,plain,
    '#skF_28' = '#skF_27',
    inference(demodulation,[status(thm),theory(equality)],[c_146182,c_146183]) ).

tff(c_250,plain,
    sum(sum(pred('#skF_27'),succ('#skF_28')),sum(pred('#skF_28'),succ('#skF_27'))) = '#skF_29',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146193,plain,
    sum(sum(pred('#skF_27'),succ('#skF_27')),sum(pred('#skF_27'),succ('#skF_27'))) = '#skF_29',
    inference(demodulation,[status(thm),theory(equality)],[c_146192,c_146192,c_250]) ).

tff(c_248,plain,
    sum(sum(pred('#skF_27'),succ('#skF_27')),sum(pred('#skF_28'),succ('#skF_28'))) = '#skF_30',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146194,plain,
    sum(sum(pred('#skF_27'),succ('#skF_27')),sum(pred('#skF_27'),succ('#skF_27'))) = '#skF_30',
    inference(demodulation,[status(thm),theory(equality)],[c_146192,c_146192,c_248]) ).

tff(c_146203,plain,
    '#skF_30' = '#skF_29',
    inference(demodulation,[status(thm),theory(equality)],[c_146193,c_146194]) ).

tff(c_244,plain,
    sum(sum(pred('#skF_29'),succ('#skF_29')),sum(pred('#skF_30'),succ('#skF_30'))) = '#skF_32',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146204,plain,
    sum(sum(pred('#skF_29'),succ('#skF_29')),sum(pred('#skF_29'),succ('#skF_29'))) = '#skF_32',
    inference(demodulation,[status(thm),theory(equality)],[c_146203,c_146203,c_244]) ).

tff(c_246,plain,
    sum(sum(pred('#skF_29'),succ('#skF_30')),sum(pred('#skF_30'),succ('#skF_29'))) = '#skF_31',
    inference(cnfTransformation,[status(thm)],[f_1130]) ).

tff(c_146205,plain,
    sum(sum(pred('#skF_29'),succ('#skF_29')),sum(pred('#skF_29'),succ('#skF_29'))) = '#skF_31',
    inference(demodulation,[status(thm),theory(equality)],[c_146203,c_146203,c_246]) ).

tff(c_146214,plain,
    '#skF_31' = '#skF_32',
    inference(demodulation,[status(thm),theory(equality)],[c_146204,c_146205]) ).

tff(c_144876,plain,
    ( ( '#skF_5' != '#skF_6' )
    | ( '#skF_7' != '#skF_8' )
    | ( '#skF_10' != '#skF_9' )
    | ( '#skF_11' != '#skF_12' )
    | ( '#skF_14' != '#skF_13' )
    | ( '#skF_15' != '#skF_16' )
    | ( '#skF_18' != '#skF_17' )
    | ( '#skF_20' != '#skF_19' )
    | ( '#skF_21' != '#skF_22' )
    | ( '#skF_24' != '#skF_23' )
    | ( '#skF_25' != '#skF_26' )
    | ( '#skF_28' != '#skF_27' )
    | ( '#skF_30' != '#skF_29' )
    | ( '#skF_31' != '#skF_32' ) ),
    inference(splitRight,[status(thm)],[c_242]) ).

tff(c_146220,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_146214,c_146203,c_146192,c_146177,c_146162,c_146147,c_146136,c_146121,c_146106,c_146091,c_146080,c_146069,c_144904,c_144889,c_144876]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM377+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu Aug  3 14:55:36 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 119.30/101.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 120.94/102.77  
% 120.94/102.77  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 121.21/102.91  
% 121.21/102.91  Inference rules
% 121.21/102.91  ----------------------
% 121.21/102.91  #Ref     : 0
% 121.21/102.91  #Sup     : 54202
% 121.21/102.91  #Fact    : 0
% 121.21/102.91  #Define  : 0
% 121.21/102.91  #Split   : 259
% 121.21/102.91  #Chain   : 0
% 121.21/102.91  #Close   : 0
% 121.21/102.91  
% 121.21/102.91  Ordering : KBO
% 121.21/102.91  
% 121.21/102.91  Simplification rules
% 121.21/102.91  ----------------------
% 121.21/102.91  #Subsume      : 2374
% 121.21/102.91  #Demod        : 38883
% 121.21/102.91  #Tautology    : 54202
% 121.21/102.91  #SimpNegUnit  : 256
% 121.21/102.91  #BackRed      : 34898
% 121.21/102.91  
% 121.21/102.91  #Partial instantiations: 0
% 121.21/102.91  #Strategies tried      : 1
% 121.21/102.91  
% 121.21/102.91  Timing (in seconds)
% 121.21/102.91  ----------------------
% 121.21/102.92  Preprocessing        : 0.83
% 121.21/102.92  Parsing              : 0.44
% 121.21/102.92  CNF conversion       : 0.06
% 121.21/102.92  Main loop            : 99.63
% 121.21/102.92  Inferencing          : 30.27
% 121.21/102.92  Reduction            : 44.47
% 121.21/102.92  Demodulation         : 32.92
% 121.21/102.92  BG Simplification    : 0.17
% 121.21/102.92  Subsumption          : 19.21
% 121.21/102.92  Abstraction          : 0.57
% 121.21/102.92  MUC search           : 0.00
% 121.21/102.92  Cooper               : 0.00
% 121.21/102.92  Total                : 101.88
% 121.21/102.92  Index Insertion      : 0.00
% 121.21/102.92  Index Deletion       : 0.00
% 121.21/102.92  Index Matching       : 0.00
% 121.21/102.92  BG Taut test         : 0.00
%------------------------------------------------------------------------------