TSTP Solution File: LAT361+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n012.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 10:46:59 EDT 2023
% Result : Theorem 40.75s 24.19s
% Output : CNFRefutation 41.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 137
% Syntax : Number of formulae : 555 ( 225 unt; 111 typ; 0 def)
% Number of atoms : 1654 ( 65 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 2049 ( 839 ~;1008 |; 167 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 182 ( 97 >; 85 *; 0 +; 0 <<)
% Number of predicates : 58 ( 56 usr; 1 prp; 0-6 aty)
% Number of functors : 55 ( 55 usr; 14 con; 0-5 aty)
% Number of variables : 215 (; 215 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m1_functor0 > m3_pboole > v9_functor0 > v8_functor0 > v6_functor0 > v21_functor0 > v1_funct_2 > v16_functor0 > v15_functor0 > v14_functor0 > v13_functor0 > v12_functor0 > v11_functor0 > v10_functor0 > m2_relset_1 > m2_functor0 > m1_relset_1 > l2_functor0 > l1_functor0 > r2_hidden > r1_tarski > m1_subset_1 > m1_pboole > v9_altcat_1 > v6_altcat_1 > v5_membered > v4_yellow18 > v4_ordinal2 > v4_membered > v3_yellow21 > v3_yellow18 > v3_struct_0 > v3_membered > v2_yellow21 > v2_yellow18 > v2_setfam_1 > v2_membered > v2_funct_1 > v2_altcat_1 > v1_yellow21 > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_relat_1 > v1_rat_1 > v1_membered > v1_int_1 > v1_funct_1 > v1_funcop_1 > v1_finset_1 > v1_altcat_2 > v12_altcat_1 > v11_altcat_1 > l2_altcat_1 > l1_struct_0 > l1_altcat_1 > k13_functor0 > g2_functor0 > u2_functor0 > u1_functor0 > k3_zfmisc_1 > k3_altcat_1 > k15_functor0 > g2_altcat_1 > k2_zfmisc_1 > k2_altcat_1 > #nlpp > u2_altcat_1 > u1_struct_0 > u1_altcat_1 > k7_waybel34 > k6_waybel34 > k5_waybel34 > k4_waybel34 > k1_zfmisc_1 > k12_functor0 > k11_functor0 > k1_xboole_0 > #skF_13 > #skF_25 > #skF_11 > #skF_6 > #skF_20 > #skF_18 > #skF_17 > #skF_22 > #skF_8 > #skF_19 > #skF_31 > #skF_3 > #skF_34 > #skF_16 > #skF_14 > #skF_15 > #skF_26 > #skF_12 > #skF_5 > #skF_7 > #skF_10 > #skF_33 > #skF_2 > #skF_1 > #skF_21 > #skF_32 > #skF_28 > #skF_24 > #skF_4 > #skF_23 > #skF_27 > #skF_29 > #skF_9 > #skF_30
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(k4_waybel34,type,
k4_waybel34: $i > $i ).
tff(u2_altcat_1,type,
u2_altcat_1: $i > $i ).
tff(v6_altcat_1,type,
v6_altcat_1: $i > $o ).
tff(m2_functor0,type,
m2_functor0: ( $i * $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(v13_functor0,type,
v13_functor0: ( $i * $i * $i ) > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(m1_functor0,type,
m1_functor0: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(g2_altcat_1,type,
g2_altcat_1: ( $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(v11_functor0,type,
v11_functor0: ( $i * $i * $i ) > $o ).
tff(v21_functor0,type,
v21_functor0: ( $i * $i * $i ) > $o ).
tff(l2_altcat_1,type,
l2_altcat_1: $i > $o ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(u1_functor0,type,
u1_functor0: ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(m1_pboole,type,
m1_pboole: ( $i * $i ) > $o ).
tff(v16_functor0,type,
v16_functor0: ( $i * $i * $i ) > $o ).
tff(k6_waybel34,type,
k6_waybel34: $i > $i ).
tff(k5_waybel34,type,
k5_waybel34: $i > $i ).
tff(k11_functor0,type,
k11_functor0: $i > $i ).
tff(k3_altcat_1,type,
k3_altcat_1: ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff(v6_functor0,type,
v6_functor0: ( $i * $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_34',type,
'#skF_34': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(v10_functor0,type,
v10_functor0: ( $i * $i * $i ) > $o ).
tff(k12_functor0,type,
k12_functor0: $i > $i ).
tff(u2_functor0,type,
u2_functor0: ( $i * $i * $i ) > $i ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff(v4_yellow18,type,
v4_yellow18: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(l1_altcat_1,type,
l1_altcat_1: $i > $o ).
tff(k7_waybel34,type,
k7_waybel34: $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(v3_yellow18,type,
v3_yellow18: $i > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(k15_functor0,type,
k15_functor0: ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v8_functor0,type,
v8_functor0: ( $i * $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v15_functor0,type,
v15_functor0: ( $i * $i * $i ) > $o ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff(v2_yellow18,type,
v2_yellow18: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(m3_pboole,type,
m3_pboole: ( $i * $i * $i * $i ) > $o ).
tff(g2_functor0,type,
g2_functor0: ( $i * $i * $i * $i ) > $i ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v2_setfam_1,type,
v2_setfam_1: $i > $o ).
tff(k2_altcat_1,type,
k2_altcat_1: ( $i * $i ) > $i ).
tff(l2_functor0,type,
l2_functor0: ( $i * $i * $i ) > $o ).
tff(k3_zfmisc_1,type,
k3_zfmisc_1: ( $i * $i * $i ) > $i ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff('#skF_32',type,
'#skF_32': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(v9_functor0,type,
v9_functor0: ( $i * $i * $i ) > $o ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(v14_functor0,type,
v14_functor0: ( $i * $i * $i ) > $o ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(v12_altcat_1,type,
v12_altcat_1: $i > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(l1_functor0,type,
l1_functor0: ( $i * $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(v9_altcat_1,type,
v9_altcat_1: $i > $o ).
tff(v1_altcat_2,type,
v1_altcat_2: $i > $o ).
tff(v2_altcat_1,type,
v2_altcat_1: $i > $o ).
tff(v12_functor0,type,
v12_functor0: ( $i * $i * $i ) > $o ).
tff(v2_yellow21,type,
v2_yellow21: $i > $o ).
tff(v1_funcop_1,type,
v1_funcop_1: $i > $o ).
tff(v11_altcat_1,type,
v11_altcat_1: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(k13_functor0,type,
k13_functor0: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v3_yellow21,type,
v3_yellow21: $i > $o ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff(u1_altcat_1,type,
u1_altcat_1: $i > $i ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(v1_yellow21,type,
v1_yellow21: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_37,negated_conjecture,
~ ! [A] :
( ~ v2_setfam_1(A)
=> ( ( k13_functor0(k5_waybel34(A),k4_waybel34(A),k5_waybel34(A),k7_waybel34(A),k6_waybel34(A)) = k12_functor0(k5_waybel34(A)) )
& ( k13_functor0(k4_waybel34(A),k5_waybel34(A),k4_waybel34(A),k6_waybel34(A),k7_waybel34(A)) = k12_functor0(k4_waybel34(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_waybel34) ).
tff(f_1559,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A) )
& ( k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).
tff(f_1227,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).
tff(f_332,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ~ v1_xboole_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
tff(f_660,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& l2_altcat_1(k4_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).
tff(f_678,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& l2_altcat_1(k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
tff(f_687,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).
tff(f_755,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v12_altcat_1(A)
& l2_altcat_1(A)
& ~ v3_struct_0(B)
& v12_altcat_1(B)
& l2_altcat_1(B) )
=> ! [C] :
( m2_functor0(C,A,B)
=> l2_functor0(C,A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_functor0) ).
tff(f_704,axiom,
! [A] :
( l2_altcat_1(A)
=> l1_altcat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
tff(f_53,axiom,
! [A,B,C] :
( ( l1_altcat_1(A)
& l1_altcat_1(B)
& l2_functor0(C,A,B) )
=> ( v9_functor0(C,A,B)
=> ( C = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v9_functor0) ).
tff(f_1602,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v12_altcat_1(A)
& v1_altcat_2(A)
& l2_altcat_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v12_altcat_1(B)
& v1_altcat_2(B)
& l2_altcat_1(B) )
=> ! [C] :
( ( v8_functor0(C,A,B)
& l2_functor0(C,A,B) )
=> ( v21_functor0(C,A,B)
=> ! [D] :
( ( v8_functor0(D,B,A)
& l2_functor0(D,B,A) )
=> ( ( g2_functor0(B,A,u1_functor0(B,A,D),u2_functor0(B,A,D)) = k15_functor0(A,B,C) )
=> ( k13_functor0(B,A,B,D,C) = k12_functor0(B) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_functor1) ).
tff(f_631,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_altcat_1(A)
& ~ v3_struct_0(B)
& l1_altcat_1(B)
& l2_functor0(C,A,B) )
=> ( v9_functor0(k15_functor0(A,B,C),B,A)
& l2_functor0(k15_functor0(A,B,C),B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_functor0) ).
tff(f_696,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& m2_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_waybel34) ).
tff(f_1155,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v9_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v1_altcat_2(k4_waybel34(A))
& v2_yellow18(k4_waybel34(A))
& v3_yellow18(k4_waybel34(A))
& v4_yellow18(k4_waybel34(A))
& v1_yellow21(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v3_yellow21(k4_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).
tff(f_1546,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v12_altcat_1(A)
& l2_altcat_1(A) )
=> ( k12_functor0(A) = k11_functor0(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k12_functor0) ).
tff(f_586,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v12_altcat_1(A)
& l2_altcat_1(A) )
=> ( v9_functor0(k12_functor0(A),A,A)
& v15_functor0(k12_functor0(A),A,A)
& m2_functor0(k12_functor0(A),A,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_functor0) ).
tff(f_713,axiom,
! [A,B] :
( ( l1_altcat_1(A)
& l1_altcat_1(B) )
=> ! [C] :
( l2_functor0(C,A,B)
=> l1_functor0(C,A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_functor0) ).
tff(f_291,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( ~ v3_struct_0(A)
& v12_altcat_1(A) )
=> ( ~ v3_struct_0(A)
& v1_altcat_2(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_functor0) ).
tff(f_1246,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v6_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v8_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v11_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v12_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v14_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v21_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_waybel34) ).
tff(f_615,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& l1_altcat_1(A)
& ~ v3_struct_0(B)
& v1_altcat_2(B)
& l1_altcat_1(B)
& ~ v3_struct_0(C)
& v1_altcat_2(C)
& l1_altcat_1(C)
& v8_functor0(D,A,B)
& l2_functor0(D,A,B)
& l2_functor0(E,B,C) )
=> ( v9_functor0(k13_functor0(A,B,C,D,E),A,C)
& l2_functor0(k13_functor0(A,B,C,D,E),A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k13_functor0) ).
tff(f_1088,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& l1_altcat_1(A)
& ~ v3_struct_0(B)
& v1_altcat_2(B)
& l1_altcat_1(B)
& ~ v3_struct_0(C)
& v1_altcat_2(C)
& l1_altcat_1(C)
& v8_functor0(D,A,B)
& l2_functor0(D,A,B)
& v8_functor0(E,B,C)
& l2_functor0(E,B,C) )
=> ( v8_functor0(k13_functor0(A,B,C,D,E),A,C)
& v9_functor0(k13_functor0(A,B,C,D,E),A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc20_functor0) ).
tff(f_1196,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v3_yellow21(k5_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).
tff(f_1049,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& l1_altcat_1(A)
& ~ v3_struct_0(B)
& v1_altcat_2(B)
& l1_altcat_1(B)
& ~ v3_struct_0(C)
& v1_altcat_2(C)
& l1_altcat_1(C)
& v8_functor0(D,A,B)
& v11_functor0(D,A,B)
& l2_functor0(D,A,B)
& v11_functor0(E,B,C)
& l2_functor0(E,B,C) )
=> ( v9_functor0(k13_functor0(A,B,C,D,E),A,C)
& v10_functor0(k13_functor0(A,B,C,D,E),A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc19_functor0) ).
tff(f_1016,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& l1_altcat_1(A)
& ~ v3_struct_0(B)
& v1_altcat_2(B)
& l1_altcat_1(B)
& ~ v3_struct_0(C)
& v1_altcat_2(C)
& l1_altcat_1(C)
& v8_functor0(D,A,B)
& v10_functor0(D,A,B)
& l2_functor0(D,A,B)
& v11_functor0(E,B,C)
& l2_functor0(E,B,C) )
=> ( v9_functor0(k13_functor0(A,B,C,D,E),A,C)
& v11_functor0(k13_functor0(A,B,C,D,E),A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc18_functor0) ).
tff(f_1125,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& v12_altcat_1(A)
& l2_altcat_1(A)
& ~ v3_struct_0(B)
& v12_altcat_1(B)
& l2_altcat_1(B)
& ~ v3_struct_0(C)
& v12_altcat_1(C)
& l2_altcat_1(C)
& v6_functor0(D,A,B)
& v8_functor0(D,A,B)
& v12_functor0(D,A,B)
& l2_functor0(D,A,B)
& v12_functor0(E,B,C)
& l2_functor0(E,B,C) )
=> ( v9_functor0(k13_functor0(A,B,C,D,E),A,C)
& v12_functor0(k13_functor0(A,B,C,D,E),A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc21_functor0) ).
tff(f_983,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& l1_altcat_1(A)
& ~ v3_struct_0(B)
& v1_altcat_2(B)
& l1_altcat_1(B)
& ~ v3_struct_0(C)
& v1_altcat_2(C)
& l1_altcat_1(C)
& v8_functor0(D,A,B)
& v11_functor0(D,A,B)
& l2_functor0(D,A,B)
& v10_functor0(E,B,C)
& l2_functor0(E,B,C) )
=> ( v9_functor0(k13_functor0(A,B,C,D,E),A,C)
& v11_functor0(k13_functor0(A,B,C,D,E),A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc17_functor0) ).
tff(c_4,plain,
~ v2_setfam_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_652,plain,
! [A_292] :
( ( k15_functor0(k5_waybel34(A_292),k4_waybel34(A_292),k7_waybel34(A_292)) = k6_waybel34(A_292) )
| v2_setfam_1(A_292) ),
inference(cnfTransformation,[status(thm)],[f_1559]) ).
tff(c_464,plain,
! [A_232] :
( v9_functor0(k6_waybel34(A_232),k4_waybel34(A_232),k5_waybel34(A_232))
| v2_setfam_1(A_232) ),
inference(cnfTransformation,[status(thm)],[f_1227]) ).
tff(c_24937,plain,
! [A_3015] :
( ~ v1_xboole_0(A_3015)
| v2_setfam_1(A_3015) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_24945,plain,
~ v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_24937,c_4]) ).
tff(c_230,plain,
! [A_120] :
( l2_altcat_1(k4_waybel34(A_120))
| v1_xboole_0(A_120) ),
inference(cnfTransformation,[status(thm)],[f_660]) ).
tff(c_248,plain,
! [A_121] :
( v12_altcat_1(k5_waybel34(A_121))
| v1_xboole_0(A_121) ),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_234,plain,
! [A_120] :
( v12_altcat_1(k4_waybel34(A_120))
| v1_xboole_0(A_120) ),
inference(cnfTransformation,[status(thm)],[f_660]) ).
tff(c_244,plain,
! [A_121] :
( l2_altcat_1(k5_waybel34(A_121))
| v1_xboole_0(A_121) ),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_240,plain,
! [A_120] :
( v2_altcat_1(k4_waybel34(A_120))
| v1_xboole_0(A_120) ),
inference(cnfTransformation,[status(thm)],[f_660]) ).
tff(c_258,plain,
! [A_122] :
( m2_functor0(k6_waybel34(A_122),k4_waybel34(A_122),k5_waybel34(A_122))
| v2_setfam_1(A_122) ),
inference(cnfTransformation,[status(thm)],[f_687]) ).
tff(c_28484,plain,
! [C_3813,A_3814,B_3815] :
( l2_functor0(C_3813,A_3814,B_3815)
| ~ m2_functor0(C_3813,A_3814,B_3815)
| ~ l2_altcat_1(B_3815)
| ~ v12_altcat_1(B_3815)
| v3_struct_0(B_3815)
| ~ l2_altcat_1(A_3814)
| ~ v12_altcat_1(A_3814)
| ~ v2_altcat_1(A_3814)
| v3_struct_0(A_3814) ),
inference(cnfTransformation,[status(thm)],[f_755]) ).
tff(c_33558,plain,
! [A_4407] :
( l2_functor0(k6_waybel34(A_4407),k4_waybel34(A_4407),k5_waybel34(A_4407))
| ~ l2_altcat_1(k5_waybel34(A_4407))
| ~ v12_altcat_1(k5_waybel34(A_4407))
| v3_struct_0(k5_waybel34(A_4407))
| ~ l2_altcat_1(k4_waybel34(A_4407))
| ~ v12_altcat_1(k4_waybel34(A_4407))
| ~ v2_altcat_1(k4_waybel34(A_4407))
| v3_struct_0(k4_waybel34(A_4407))
| v2_setfam_1(A_4407) ),
inference(resolution,[status(thm)],[c_258,c_28484]) ).
tff(c_25133,plain,
! [A_3070] :
( l2_altcat_1(k5_waybel34(A_3070))
| v1_xboole_0(A_3070) ),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_276,plain,
! [A_125] :
( l1_altcat_1(A_125)
| ~ l2_altcat_1(A_125) ),
inference(cnfTransformation,[status(thm)],[f_704]) ).
tff(c_25137,plain,
! [A_3070] :
( l1_altcat_1(k5_waybel34(A_3070))
| v1_xboole_0(A_3070) ),
inference(resolution,[status(thm)],[c_25133,c_276]) ).
tff(c_698,plain,
! [A_328] :
( ~ v1_xboole_0(A_328)
| v2_setfam_1(A_328) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_706,plain,
~ v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_698,c_4]) ).
tff(c_454,plain,
! [A_232] :
( v21_functor0(k6_waybel34(A_232),k4_waybel34(A_232),k5_waybel34(A_232))
| v2_setfam_1(A_232) ),
inference(cnfTransformation,[status(thm)],[f_1227]) ).
tff(c_254,plain,
! [A_121] :
( v2_altcat_1(k5_waybel34(A_121))
| v1_xboole_0(A_121) ),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_885,plain,
! [A_393] :
( l2_altcat_1(k4_waybel34(A_393))
| v1_xboole_0(A_393) ),
inference(cnfTransformation,[status(thm)],[f_660]) ).
tff(c_889,plain,
! [A_393] :
( l1_altcat_1(k4_waybel34(A_393))
| v1_xboole_0(A_393) ),
inference(resolution,[status(thm)],[c_885,c_276]) ).
tff(c_654,plain,
! [A_292] :
( ( k15_functor0(k4_waybel34(A_292),k5_waybel34(A_292),k6_waybel34(A_292)) = k7_waybel34(A_292) )
| v2_setfam_1(A_292) ),
inference(cnfTransformation,[status(thm)],[f_1559]) ).
tff(c_876,plain,
! [A_388] :
( l2_altcat_1(k5_waybel34(A_388))
| v1_xboole_0(A_388) ),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_880,plain,
! [A_388] :
( l1_altcat_1(k5_waybel34(A_388))
| v1_xboole_0(A_388) ),
inference(resolution,[status(thm)],[c_876,c_276]) ).
tff(c_466,plain,
! [A_232] :
( v8_functor0(k6_waybel34(A_232),k4_waybel34(A_232),k5_waybel34(A_232))
| v2_setfam_1(A_232) ),
inference(cnfTransformation,[status(thm)],[f_1227]) ).
tff(c_8,plain,
! [A_2,B_3,C_4] :
( ( g2_functor0(A_2,B_3,u1_functor0(A_2,B_3,C_4),u2_functor0(A_2,B_3,C_4)) = C_4 )
| ~ v9_functor0(C_4,A_2,B_3)
| ~ l2_functor0(C_4,A_2,B_3)
| ~ l1_altcat_1(B_3)
| ~ l1_altcat_1(A_2) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_6008,plain,
! [B_1411,A_1412,D_1413,C_1414] :
( ( k13_functor0(B_1411,A_1412,B_1411,D_1413,C_1414) = k12_functor0(B_1411) )
| ( k15_functor0(A_1412,B_1411,C_1414) != g2_functor0(B_1411,A_1412,u1_functor0(B_1411,A_1412,D_1413),u2_functor0(B_1411,A_1412,D_1413)) )
| ~ l2_functor0(D_1413,B_1411,A_1412)
| ~ v8_functor0(D_1413,B_1411,A_1412)
| ~ v21_functor0(C_1414,A_1412,B_1411)
| ~ l2_functor0(C_1414,A_1412,B_1411)
| ~ v8_functor0(C_1414,A_1412,B_1411)
| ~ l2_altcat_1(B_1411)
| ~ v1_altcat_2(B_1411)
| ~ v12_altcat_1(B_1411)
| ~ v2_altcat_1(B_1411)
| v3_struct_0(B_1411)
| ~ l2_altcat_1(A_1412)
| ~ v1_altcat_2(A_1412)
| ~ v12_altcat_1(A_1412)
| ~ v2_altcat_1(A_1412)
| v3_struct_0(A_1412) ),
inference(cnfTransformation,[status(thm)],[f_1602]) ).
tff(c_12162,plain,
! [A_1968,B_1969,C_1970,C_1971] :
( ( k13_functor0(A_1968,B_1969,A_1968,C_1970,C_1971) = k12_functor0(A_1968) )
| ( k15_functor0(B_1969,A_1968,C_1971) != C_1970 )
| ~ l2_functor0(C_1970,A_1968,B_1969)
| ~ v8_functor0(C_1970,A_1968,B_1969)
| ~ v21_functor0(C_1971,B_1969,A_1968)
| ~ l2_functor0(C_1971,B_1969,A_1968)
| ~ v8_functor0(C_1971,B_1969,A_1968)
| ~ l2_altcat_1(A_1968)
| ~ v1_altcat_2(A_1968)
| ~ v12_altcat_1(A_1968)
| ~ v2_altcat_1(A_1968)
| v3_struct_0(A_1968)
| ~ l2_altcat_1(B_1969)
| ~ v1_altcat_2(B_1969)
| ~ v12_altcat_1(B_1969)
| ~ v2_altcat_1(B_1969)
| v3_struct_0(B_1969)
| ~ v9_functor0(C_1970,A_1968,B_1969)
| ~ l2_functor0(C_1970,A_1968,B_1969)
| ~ l1_altcat_1(B_1969)
| ~ l1_altcat_1(A_1968) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_6008]) ).
tff(c_20222,plain,
! [A_2877,C_2878] :
( ( k13_functor0(k5_waybel34(A_2877),k4_waybel34(A_2877),k5_waybel34(A_2877),C_2878,k6_waybel34(A_2877)) = k12_functor0(k5_waybel34(A_2877)) )
| ( k15_functor0(k4_waybel34(A_2877),k5_waybel34(A_2877),k6_waybel34(A_2877)) != C_2878 )
| ~ v8_functor0(C_2878,k5_waybel34(A_2877),k4_waybel34(A_2877))
| ~ v21_functor0(k6_waybel34(A_2877),k4_waybel34(A_2877),k5_waybel34(A_2877))
| ~ l2_functor0(k6_waybel34(A_2877),k4_waybel34(A_2877),k5_waybel34(A_2877))
| ~ l2_altcat_1(k5_waybel34(A_2877))
| ~ v1_altcat_2(k5_waybel34(A_2877))
| ~ v12_altcat_1(k5_waybel34(A_2877))
| ~ v2_altcat_1(k5_waybel34(A_2877))
| v3_struct_0(k5_waybel34(A_2877))
| ~ l2_altcat_1(k4_waybel34(A_2877))
| ~ v1_altcat_2(k4_waybel34(A_2877))
| ~ v12_altcat_1(k4_waybel34(A_2877))
| ~ v2_altcat_1(k4_waybel34(A_2877))
| v3_struct_0(k4_waybel34(A_2877))
| ~ v9_functor0(C_2878,k5_waybel34(A_2877),k4_waybel34(A_2877))
| ~ l2_functor0(C_2878,k5_waybel34(A_2877),k4_waybel34(A_2877))
| ~ l1_altcat_1(k4_waybel34(A_2877))
| ~ l1_altcat_1(k5_waybel34(A_2877))
| v2_setfam_1(A_2877) ),
inference(resolution,[status(thm)],[c_466,c_12162]) ).
tff(c_2,plain,
( ( k13_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k6_waybel34('#skF_1'),k7_waybel34('#skF_1')) != k12_functor0(k4_waybel34('#skF_1')) )
| ( k13_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k7_waybel34('#skF_1'),k6_waybel34('#skF_1')) != k12_functor0(k5_waybel34('#skF_1')) ) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_675,plain,
k13_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k7_waybel34('#skF_1'),k6_waybel34('#skF_1')) != k12_functor0(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_20258,plain,
( ( k15_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1')) != k7_waybel34('#skF_1') )
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_20222,c_675]) ).
tff(c_20265,plain,
( ( k15_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1')) != k7_waybel34('#skF_1') )
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20258]) ).
tff(c_20268,plain,
~ l1_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_20265]) ).
tff(c_20271,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_880,c_20268]) ).
tff(c_20275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_20271]) ).
tff(c_20276,plain,
( ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ( k15_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1')) != k7_waybel34('#skF_1') )
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_20265]) ).
tff(c_20357,plain,
k15_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1')) != k7_waybel34('#skF_1'),
inference(splitLeft,[status(thm)],[c_20276]) ).
tff(c_20361,plain,
v2_setfam_1('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_654,c_20357]) ).
tff(c_20365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_20361]) ).
tff(c_20366,plain,
( ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| ~ v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_20276]) ).
tff(c_20427,plain,
~ l1_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_20366]) ).
tff(c_20430,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_889,c_20427]) ).
tff(c_20434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_20430]) ).
tff(c_20436,plain,
l1_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_20366]) ).
tff(c_20277,plain,
l1_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_20265]) ).
tff(c_4194,plain,
! [C_1101,A_1102,B_1103] :
( l2_functor0(C_1101,A_1102,B_1103)
| ~ m2_functor0(C_1101,A_1102,B_1103)
| ~ l2_altcat_1(B_1103)
| ~ v12_altcat_1(B_1103)
| v3_struct_0(B_1103)
| ~ l2_altcat_1(A_1102)
| ~ v12_altcat_1(A_1102)
| ~ v2_altcat_1(A_1102)
| v3_struct_0(A_1102) ),
inference(cnfTransformation,[status(thm)],[f_755]) ).
tff(c_4220,plain,
! [A_122] :
( l2_functor0(k6_waybel34(A_122),k4_waybel34(A_122),k5_waybel34(A_122))
| ~ l2_altcat_1(k5_waybel34(A_122))
| ~ v12_altcat_1(k5_waybel34(A_122))
| v3_struct_0(k5_waybel34(A_122))
| ~ l2_altcat_1(k4_waybel34(A_122))
| ~ v12_altcat_1(k4_waybel34(A_122))
| ~ v2_altcat_1(k4_waybel34(A_122))
| v3_struct_0(k4_waybel34(A_122))
| v2_setfam_1(A_122) ),
inference(resolution,[status(thm)],[c_258,c_4194]) ).
tff(c_20367,plain,
k15_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1')) = k7_waybel34('#skF_1'),
inference(splitRight,[status(thm)],[c_20276]) ).
tff(c_216,plain,
! [A_112,B_113,C_114] :
( v9_functor0(k15_functor0(A_112,B_113,C_114),B_113,A_112)
| ~ l2_functor0(C_114,A_112,B_113)
| ~ l1_altcat_1(B_113)
| v3_struct_0(B_113)
| ~ l1_altcat_1(A_112)
| v3_struct_0(A_112) ),
inference(cnfTransformation,[status(thm)],[f_631]) ).
tff(c_20378,plain,
( v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_20367,c_216]) ).
tff(c_20392,plain,
( v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_20277,c_20378]) ).
tff(c_20949,plain,
( v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_20436,c_20392]) ).
tff(c_20950,plain,
~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_20949]) ).
tff(c_20956,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_4220,c_20950]) ).
tff(c_20963,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20956]) ).
tff(c_20980,plain,
~ v2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_20963]) ).
tff(c_20983,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_240,c_20980]) ).
tff(c_20990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_20983]) ).
tff(c_20992,plain,
v2_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_20963]) ).
tff(c_20991,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_20963]) ).
tff(c_21028,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_20991]) ).
tff(c_21031,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_244,c_21028]) ).
tff(c_21035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21031]) ).
tff(c_21037,plain,
l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_20991]) ).
tff(c_264,plain,
! [A_123] :
( m2_functor0(k7_waybel34(A_123),k5_waybel34(A_123),k4_waybel34(A_123))
| v2_setfam_1(A_123) ),
inference(cnfTransformation,[status(thm)],[f_696]) ).
tff(c_9229,plain,
! [A_1737] :
( l2_functor0(k7_waybel34(A_1737),k5_waybel34(A_1737),k4_waybel34(A_1737))
| ~ l2_altcat_1(k4_waybel34(A_1737))
| ~ v12_altcat_1(k4_waybel34(A_1737))
| v3_struct_0(k4_waybel34(A_1737))
| ~ l2_altcat_1(k5_waybel34(A_1737))
| ~ v12_altcat_1(k5_waybel34(A_1737))
| ~ v2_altcat_1(k5_waybel34(A_1737))
| v3_struct_0(k5_waybel34(A_1737))
| v2_setfam_1(A_1737) ),
inference(resolution,[status(thm)],[c_264,c_4194]) ).
tff(c_4069,plain,
! [A_1042,B_1043,C_1044] :
( l2_functor0(k15_functor0(A_1042,B_1043,C_1044),B_1043,A_1042)
| ~ l2_functor0(C_1044,A_1042,B_1043)
| ~ l1_altcat_1(B_1043)
| v3_struct_0(B_1043)
| ~ l1_altcat_1(A_1042)
| v3_struct_0(A_1042) ),
inference(cnfTransformation,[status(thm)],[f_631]) ).
tff(c_4075,plain,
! [A_292] :
( l2_functor0(k6_waybel34(A_292),k4_waybel34(A_292),k5_waybel34(A_292))
| ~ l2_functor0(k7_waybel34(A_292),k5_waybel34(A_292),k4_waybel34(A_292))
| ~ l1_altcat_1(k4_waybel34(A_292))
| v3_struct_0(k4_waybel34(A_292))
| ~ l1_altcat_1(k5_waybel34(A_292))
| v3_struct_0(k5_waybel34(A_292))
| v2_setfam_1(A_292) ),
inference(superposition,[status(thm),theory(equality)],[c_652,c_4069]) ).
tff(c_9236,plain,
! [A_1737] :
( l2_functor0(k6_waybel34(A_1737),k4_waybel34(A_1737),k5_waybel34(A_1737))
| ~ l1_altcat_1(k4_waybel34(A_1737))
| ~ l1_altcat_1(k5_waybel34(A_1737))
| ~ l2_altcat_1(k4_waybel34(A_1737))
| ~ v12_altcat_1(k4_waybel34(A_1737))
| v3_struct_0(k4_waybel34(A_1737))
| ~ l2_altcat_1(k5_waybel34(A_1737))
| ~ v12_altcat_1(k5_waybel34(A_1737))
| ~ v2_altcat_1(k5_waybel34(A_1737))
| v3_struct_0(k5_waybel34(A_1737))
| v2_setfam_1(A_1737) ),
inference(resolution,[status(thm)],[c_9229,c_4075]) ).
tff(c_20953,plain,
( ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_9236,c_20950]) ).
tff(c_20959,plain,
( ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20277,c_20436,c_20953]) ).
tff(c_20960,plain,
( ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_20959]) ).
tff(c_21010,plain,
~ v2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_20960]) ).
tff(c_21013,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_254,c_21010]) ).
tff(c_21020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21013]) ).
tff(c_21021,plain,
( ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_20960]) ).
tff(c_21124,plain,
( ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_21037,c_21021]) ).
tff(c_21125,plain,
~ l2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21124]) ).
tff(c_21128,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_230,c_21125]) ).
tff(c_21132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21128]) ).
tff(c_21134,plain,
l2_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21124]) ).
tff(c_398,plain,
! [A_227] :
( v12_altcat_1(k4_waybel34(A_227))
| v2_setfam_1(A_227) ),
inference(cnfTransformation,[status(thm)],[f_1155]) ).
tff(c_406,plain,
! [A_227] :
( v2_altcat_1(k4_waybel34(A_227))
| v2_setfam_1(A_227) ),
inference(cnfTransformation,[status(thm)],[f_1155]) ).
tff(c_3445,plain,
! [A_809] :
( ( k12_functor0(A_809) = k11_functor0(A_809) )
| ~ l2_altcat_1(A_809)
| ~ v12_altcat_1(A_809)
| ~ v2_altcat_1(A_809)
| v3_struct_0(A_809) ),
inference(cnfTransformation,[status(thm)],[f_1546]) ).
tff(c_408,plain,
! [A_227] :
( ~ v3_struct_0(k4_waybel34(A_227))
| v2_setfam_1(A_227) ),
inference(cnfTransformation,[status(thm)],[f_1155]) ).
tff(c_6814,plain,
! [A_1480] :
( v2_setfam_1(A_1480)
| ( k12_functor0(k4_waybel34(A_1480)) = k11_functor0(k4_waybel34(A_1480)) )
| ~ l2_altcat_1(k4_waybel34(A_1480))
| ~ v12_altcat_1(k4_waybel34(A_1480))
| ~ v2_altcat_1(k4_waybel34(A_1480)) ),
inference(resolution,[status(thm)],[c_3445,c_408]) ).
tff(c_7825,plain,
! [A_1528] :
( ( k12_functor0(k4_waybel34(A_1528)) = k11_functor0(k4_waybel34(A_1528)) )
| ~ l2_altcat_1(k4_waybel34(A_1528))
| ~ v12_altcat_1(k4_waybel34(A_1528))
| v2_setfam_1(A_1528) ),
inference(resolution,[status(thm)],[c_406,c_6814]) ).
tff(c_7833,plain,
! [A_227] :
( ( k12_functor0(k4_waybel34(A_227)) = k11_functor0(k4_waybel34(A_227)) )
| ~ l2_altcat_1(k4_waybel34(A_227))
| v2_setfam_1(A_227) ),
inference(resolution,[status(thm)],[c_398,c_7825]) ).
tff(c_21137,plain,
( ( k12_functor0(k4_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')) )
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_21134,c_7833]) ).
tff(c_21143,plain,
k12_functor0(k4_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_4,c_21137]) ).
tff(c_204,plain,
! [A_106] :
( m2_functor0(k12_functor0(A_106),A_106,A_106)
| ~ l2_altcat_1(A_106)
| ~ v12_altcat_1(A_106)
| ~ v2_altcat_1(A_106)
| v3_struct_0(A_106) ),
inference(cnfTransformation,[status(thm)],[f_586]) ).
tff(c_21170,plain,
( m2_functor0(k11_functor0(k4_waybel34('#skF_1')),k4_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_21143,c_204]) ).
tff(c_21191,plain,
( m2_functor0(k11_functor0(k4_waybel34('#skF_1')),k4_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_20992,c_21134,c_21170]) ).
tff(c_21211,plain,
~ v12_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21191]) ).
tff(c_21214,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_234,c_21211]) ).
tff(c_21221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21214]) ).
tff(c_21223,plain,
v12_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21191]) ).
tff(c_21133,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_21124]) ).
tff(c_21198,plain,
~ v12_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21133]) ).
tff(c_21201,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_248,c_21198]) ).
tff(c_21208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21201]) ).
tff(c_21209,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_21133]) ).
tff(c_21225,plain,
( v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_21223,c_21209]) ).
tff(c_21226,plain,
v3_struct_0(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21225]) ).
tff(c_242,plain,
! [A_120] :
( ~ v3_struct_0(k4_waybel34(A_120))
| v1_xboole_0(A_120) ),
inference(cnfTransformation,[status(thm)],[f_660]) ).
tff(c_21229,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_21226,c_242]) ).
tff(c_21236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21229]) ).
tff(c_21237,plain,
v3_struct_0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21225]) ).
tff(c_256,plain,
! [A_121] :
( ~ v3_struct_0(k5_waybel34(A_121))
| v1_xboole_0(A_121) ),
inference(cnfTransformation,[status(thm)],[f_678]) ).
tff(c_21265,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_21237,c_256]) ).
tff(c_21272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21265]) ).
tff(c_21274,plain,
l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_20949]) ).
tff(c_278,plain,
! [C_129,A_126,B_127] :
( l1_functor0(C_129,A_126,B_127)
| ~ l2_functor0(C_129,A_126,B_127)
| ~ l1_altcat_1(B_127)
| ~ l1_altcat_1(A_126) ),
inference(cnfTransformation,[status(thm)],[f_713]) ).
tff(c_7904,plain,
! [A_1539,B_1540,C_1541] :
( l1_functor0(k15_functor0(A_1539,B_1540,C_1541),B_1540,A_1539)
| ~ l2_functor0(C_1541,A_1539,B_1540)
| ~ l1_altcat_1(B_1540)
| v3_struct_0(B_1540)
| ~ l1_altcat_1(A_1539)
| v3_struct_0(A_1539) ),
inference(resolution,[status(thm)],[c_4069,c_278]) ).
tff(c_7910,plain,
! [A_292] :
( l1_functor0(k7_waybel34(A_292),k5_waybel34(A_292),k4_waybel34(A_292))
| ~ l2_functor0(k6_waybel34(A_292),k4_waybel34(A_292),k5_waybel34(A_292))
| ~ l1_altcat_1(k5_waybel34(A_292))
| v3_struct_0(k5_waybel34(A_292))
| ~ l1_altcat_1(k4_waybel34(A_292))
| v3_struct_0(k4_waybel34(A_292))
| v2_setfam_1(A_292) ),
inference(superposition,[status(thm),theory(equality)],[c_654,c_7904]) ).
tff(c_21297,plain,
( l1_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_21274,c_7910]) ).
tff(c_21303,plain,
( l1_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20436,c_20277,c_21297]) ).
tff(c_21304,plain,
( l1_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_21303]) ).
tff(c_21323,plain,
v3_struct_0(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21304]) ).
tff(c_21326,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_21323,c_242]) ).
tff(c_21333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21326]) ).
tff(c_21335,plain,
~ v3_struct_0(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21304]) ).
tff(c_214,plain,
! [A_112,B_113,C_114] :
( l2_functor0(k15_functor0(A_112,B_113,C_114),B_113,A_112)
| ~ l2_functor0(C_114,A_112,B_113)
| ~ l1_altcat_1(B_113)
| v3_struct_0(B_113)
| ~ l1_altcat_1(A_112)
| v3_struct_0(A_112) ),
inference(cnfTransformation,[status(thm)],[f_631]) ).
tff(c_20375,plain,
( l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_20367,c_214]) ).
tff(c_20390,plain,
( l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_20277,c_20375]) ).
tff(c_21276,plain,
( l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_20436,c_20390]) ).
tff(c_21277,plain,
~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21276]) ).
tff(c_21292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21274,c_21277]) ).
tff(c_21293,plain,
( v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_21276]) ).
tff(c_21646,plain,
( v3_struct_0(k5_waybel34('#skF_1'))
| l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_21335,c_21293]) ).
tff(c_21647,plain,
l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21646]) ).
tff(c_21273,plain,
( v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_20949]) ).
tff(c_21644,plain,
( v3_struct_0(k5_waybel34('#skF_1'))
| v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_21335,c_21273]) ).
tff(c_21645,plain,
v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21644]) ).
tff(c_116,plain,
! [A_60] :
( v1_altcat_2(A_60)
| ~ v12_altcat_1(A_60)
| v3_struct_0(A_60)
| ~ l2_altcat_1(A_60) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_21351,plain,
( v1_altcat_2(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_116,c_21335]) ).
tff(c_21352,plain,
~ l2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21351]) ).
tff(c_21367,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_230,c_21352]) ).
tff(c_21371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21367]) ).
tff(c_21372,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v1_altcat_2(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_21351]) ).
tff(c_21385,plain,
~ v12_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21372]) ).
tff(c_21444,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_234,c_21385]) ).
tff(c_21451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21444]) ).
tff(c_21453,plain,
v12_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21372]) ).
tff(c_21373,plain,
l2_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21351]) ).
tff(c_21376,plain,
( ( k12_functor0(k4_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')) )
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_21373,c_7833]) ).
tff(c_21382,plain,
k12_functor0(k4_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_4,c_21376]) ).
tff(c_21478,plain,
( m2_functor0(k11_functor0(k4_waybel34('#skF_1')),k4_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_21382,c_204]) ).
tff(c_21505,plain,
( m2_functor0(k11_functor0(k4_waybel34('#skF_1')),k4_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_21453,c_21373,c_21478]) ).
tff(c_21506,plain,
( m2_functor0(k11_functor0(k4_waybel34('#skF_1')),k4_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_21335,c_21505]) ).
tff(c_21523,plain,
~ v2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_21506]) ).
tff(c_21526,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_240,c_21523]) ).
tff(c_21533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_21526]) ).
tff(c_21535,plain,
v2_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21506]) ).
tff(c_21452,plain,
v1_altcat_2(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21372]) ).
tff(c_482,plain,
! [A_233] :
( v8_functor0(k7_waybel34(A_233),k5_waybel34(A_233),k4_waybel34(A_233))
| v2_setfam_1(A_233) ),
inference(cnfTransformation,[status(thm)],[f_1246]) ).
tff(c_20435,plain,
( ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_20366]) ).
tff(c_20468,plain,
~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_20435]) ).
tff(c_20474,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_482,c_20468]) ).
tff(c_20479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_20474]) ).
tff(c_20480,plain,
( ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| ~ v9_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_20435]) ).
tff(c_23704,plain,
( ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_21647,c_21645,c_21535,c_21453,c_21452,c_21373,c_21274,c_20480]) ).
tff(c_23705,plain,
( ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_21335,c_23704]) ).
tff(c_23706,plain,
~ v2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_23705]) ).
tff(c_23709,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_254,c_23706]) ).
tff(c_23716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_23709]) ).
tff(c_23717,plain,
( ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_23705]) ).
tff(c_24759,plain,
~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_23717]) ).
tff(c_24762,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_454,c_24759]) ).
tff(c_24766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_24762]) ).
tff(c_24767,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_23717]) ).
tff(c_24775,plain,
~ v12_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_24767]) ).
tff(c_24778,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_248,c_24775]) ).
tff(c_24785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_24778]) ).
tff(c_24786,plain,
( ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_24767]) ).
tff(c_24789,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_24786]) ).
tff(c_24792,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_244,c_24789]) ).
tff(c_24796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_24792]) ).
tff(c_24798,plain,
l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_24786]) ).
tff(c_24787,plain,
v12_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_24767]) ).
tff(c_2222,plain,
! [A_604] :
( v1_altcat_2(A_604)
| ~ v12_altcat_1(A_604)
| v3_struct_0(A_604)
| ~ l2_altcat_1(A_604) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_2244,plain,
! [A_121] :
( v1_xboole_0(A_121)
| v1_altcat_2(k5_waybel34(A_121))
| ~ v12_altcat_1(k5_waybel34(A_121))
| ~ l2_altcat_1(k5_waybel34(A_121)) ),
inference(resolution,[status(thm)],[c_2222,c_256]) ).
tff(c_24797,plain,
( ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_24786]) ).
tff(c_24860,plain,
~ v1_altcat_2(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_24797]) ).
tff(c_24863,plain,
( v1_xboole_0('#skF_1')
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_2244,c_24860]) ).
tff(c_24869,plain,
v1_xboole_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_24798,c_24787,c_24863]) ).
tff(c_24871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_24869]) ).
tff(c_24872,plain,
v3_struct_0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_24797]) ).
tff(c_24876,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_24872,c_256]) ).
tff(c_24883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_24876]) ).
tff(c_24884,plain,
v3_struct_0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21646]) ).
tff(c_24888,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_24884,c_256]) ).
tff(c_24895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_24888]) ).
tff(c_24896,plain,
v3_struct_0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_21644]) ).
tff(c_24901,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_24896,c_256]) ).
tff(c_24908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_706,c_24901]) ).
tff(c_24910,plain,
k13_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k7_waybel34('#skF_1'),k6_waybel34('#skF_1')) = k12_functor0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_29843,plain,
! [D_3965,E_3967,A_3968,B_3966,C_3964] :
( v9_functor0(k13_functor0(A_3968,B_3966,C_3964,D_3965,E_3967),A_3968,C_3964)
| ~ l2_functor0(E_3967,B_3966,C_3964)
| ~ l2_functor0(D_3965,A_3968,B_3966)
| ~ v8_functor0(D_3965,A_3968,B_3966)
| ~ l1_altcat_1(C_3964)
| ~ v1_altcat_2(C_3964)
| v3_struct_0(C_3964)
| ~ l1_altcat_1(B_3966)
| ~ v1_altcat_2(B_3966)
| v3_struct_0(B_3966)
| ~ l1_altcat_1(A_3968)
| v3_struct_0(A_3968) ),
inference(cnfTransformation,[status(thm)],[f_615]) ).
tff(c_29846,plain,
( v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_29843]) ).
tff(c_29902,plain,
~ l1_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_29846]) ).
tff(c_29905,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_25137,c_29902]) ).
tff(c_29909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_29905]) ).
tff(c_29911,plain,
l1_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_29846]) ).
tff(c_396,plain,
! [A_227] :
( v1_altcat_2(k4_waybel34(A_227))
| v2_setfam_1(A_227) ),
inference(cnfTransformation,[status(thm)],[f_1155]) ).
tff(c_29422,plain,
! [B_3957,A_3959,D_3956,E_3958,C_3955] :
( l2_functor0(k13_functor0(A_3959,B_3957,C_3955,D_3956,E_3958),A_3959,C_3955)
| ~ l2_functor0(E_3958,B_3957,C_3955)
| ~ l2_functor0(D_3956,A_3959,B_3957)
| ~ v8_functor0(D_3956,A_3959,B_3957)
| ~ l1_altcat_1(C_3955)
| ~ v1_altcat_2(C_3955)
| v3_struct_0(C_3955)
| ~ l1_altcat_1(B_3957)
| ~ v1_altcat_2(B_3957)
| v3_struct_0(B_3957)
| ~ l1_altcat_1(A_3959)
| v3_struct_0(A_3959) ),
inference(cnfTransformation,[status(thm)],[f_615]) ).
tff(c_29428,plain,
( l2_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_29422]) ).
tff(c_30020,plain,
( l2_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_29911,c_29911,c_29428]) ).
tff(c_30021,plain,
~ v1_altcat_2(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_30020]) ).
tff(c_30027,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_396,c_30021]) ).
tff(c_30034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_30027]) ).
tff(c_30036,plain,
v1_altcat_2(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_30020]) ).
tff(c_29910,plain,
( ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_29846]) ).
tff(c_30044,plain,
( ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_29911,c_30036,c_29910]) ).
tff(c_30045,plain,
~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_30044]) ).
tff(c_33561,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_33558,c_30045]) ).
tff(c_33567,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_4,c_33561]) ).
tff(c_33589,plain,
~ v2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_33567]) ).
tff(c_33592,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_240,c_33589]) ).
tff(c_33599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_33592]) ).
tff(c_33600,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_33567]) ).
tff(c_33761,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_33600]) ).
tff(c_33764,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_244,c_33761]) ).
tff(c_33768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_33764]) ).
tff(c_33769,plain,
( ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_33600]) ).
tff(c_33891,plain,
~ v12_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_33769]) ).
tff(c_33894,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_234,c_33891]) ).
tff(c_33901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_33894]) ).
tff(c_33902,plain,
( ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_33769]) ).
tff(c_33917,plain,
~ v12_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_33902]) ).
tff(c_33920,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_248,c_33917]) ).
tff(c_33927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_33920]) ).
tff(c_33928,plain,
( ~ l2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_33902]) ).
tff(c_33939,plain,
~ l2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_33928]) ).
tff(c_33942,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_230,c_33939]) ).
tff(c_33946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_33942]) ).
tff(c_33947,plain,
( v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_33928]) ).
tff(c_34009,plain,
v3_struct_0(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_33947]) ).
tff(c_34012,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_34009,c_256]) ).
tff(c_34019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_34012]) ).
tff(c_34020,plain,
v3_struct_0(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_33947]) ).
tff(c_34048,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_34020,c_242]) ).
tff(c_34055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_34048]) ).
tff(c_34057,plain,
l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_30044]) ).
tff(c_25128,plain,
! [A_3069] :
( l2_altcat_1(k4_waybel34(A_3069))
| v1_xboole_0(A_3069) ),
inference(cnfTransformation,[status(thm)],[f_660]) ).
tff(c_25132,plain,
! [A_3069] :
( l1_altcat_1(k4_waybel34(A_3069))
| v1_xboole_0(A_3069) ),
inference(resolution,[status(thm)],[c_25128,c_276]) ).
tff(c_29963,plain,
! [E_3977,B_3974,D_3976,C_3973,A_3975] :
( v8_functor0(k13_functor0(A_3975,B_3974,C_3973,D_3976,E_3977),A_3975,C_3973)
| ~ l2_functor0(E_3977,B_3974,C_3973)
| ~ v8_functor0(E_3977,B_3974,C_3973)
| ~ l2_functor0(D_3976,A_3975,B_3974)
| ~ v8_functor0(D_3976,A_3975,B_3974)
| ~ l1_altcat_1(C_3973)
| ~ v1_altcat_2(C_3973)
| v3_struct_0(C_3973)
| ~ l1_altcat_1(B_3974)
| ~ v1_altcat_2(B_3974)
| v3_struct_0(B_3974)
| ~ l1_altcat_1(A_3975)
| v3_struct_0(A_3975) ),
inference(cnfTransformation,[status(thm)],[f_1088]) ).
tff(c_29966,plain,
( v8_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_29963]) ).
tff(c_29968,plain,
( v8_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_29911,c_29911,c_29966]) ).
tff(c_34081,plain,
( v8_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_30036,c_34057,c_29968]) ).
tff(c_34082,plain,
~ l1_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_34081]) ).
tff(c_34085,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_25132,c_34082]) ).
tff(c_34089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_34085]) ).
tff(c_34091,plain,
l1_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_34081]) ).
tff(c_434,plain,
! [A_228] :
( v1_altcat_2(k5_waybel34(A_228))
| v2_setfam_1(A_228) ),
inference(cnfTransformation,[status(thm)],[f_1196]) ).
tff(c_34093,plain,
! [B_4446,C_4447,D_4443,E_4445,A_4444] :
( v10_functor0(k13_functor0(A_4444,B_4446,C_4447,D_4443,E_4445),A_4444,C_4447)
| ~ l2_functor0(E_4445,B_4446,C_4447)
| ~ v11_functor0(E_4445,B_4446,C_4447)
| ~ l2_functor0(D_4443,A_4444,B_4446)
| ~ v11_functor0(D_4443,A_4444,B_4446)
| ~ v8_functor0(D_4443,A_4444,B_4446)
| ~ l1_altcat_1(C_4447)
| ~ v1_altcat_2(C_4447)
| v3_struct_0(C_4447)
| ~ l1_altcat_1(B_4446)
| ~ v1_altcat_2(B_4446)
| v3_struct_0(B_4446)
| ~ l1_altcat_1(A_4444)
| v3_struct_0(A_4444) ),
inference(cnfTransformation,[status(thm)],[f_1049]) ).
tff(c_34096,plain,
( v10_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_34093]) ).
tff(c_34098,plain,
( v10_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_29911,c_30036,c_34091,c_29911,c_34057,c_34096]) ).
tff(c_34099,plain,
~ v1_altcat_2(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_34098]) ).
tff(c_34105,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_434,c_34099]) ).
tff(c_34112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_34105]) ).
tff(c_34114,plain,
v1_altcat_2(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_34098]) ).
tff(c_34267,plain,
! [A_4452,C_4454,B_4451,D_4453,E_4450] :
( v11_functor0(k13_functor0(A_4452,B_4451,C_4454,D_4453,E_4450),A_4452,C_4454)
| ~ l2_functor0(E_4450,B_4451,C_4454)
| ~ v11_functor0(E_4450,B_4451,C_4454)
| ~ l2_functor0(D_4453,A_4452,B_4451)
| ~ v10_functor0(D_4453,A_4452,B_4451)
| ~ v8_functor0(D_4453,A_4452,B_4451)
| ~ l1_altcat_1(C_4454)
| ~ v1_altcat_2(C_4454)
| v3_struct_0(C_4454)
| ~ l1_altcat_1(B_4451)
| ~ v1_altcat_2(B_4451)
| v3_struct_0(B_4451)
| ~ l1_altcat_1(A_4452)
| v3_struct_0(A_4452) ),
inference(cnfTransformation,[status(thm)],[f_1016]) ).
tff(c_34270,plain,
( v11_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v10_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_34267]) ).
tff(c_34272,plain,
( v11_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v10_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_29911,c_30036,c_34091,c_34114,c_29911,c_34057,c_34270]) ).
tff(c_34273,plain,
~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_34272]) ).
tff(c_34279,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_482,c_34273]) ).
tff(c_34284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_34279]) ).
tff(c_34286,plain,
v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_34272]) ).
tff(c_34287,plain,
! [A_4459,D_4455,B_4457,C_4456,E_4458] :
( v12_functor0(k13_functor0(A_4459,B_4457,C_4456,D_4455,E_4458),A_4459,C_4456)
| ~ l2_functor0(E_4458,B_4457,C_4456)
| ~ v12_functor0(E_4458,B_4457,C_4456)
| ~ l2_functor0(D_4455,A_4459,B_4457)
| ~ v12_functor0(D_4455,A_4459,B_4457)
| ~ v8_functor0(D_4455,A_4459,B_4457)
| ~ v6_functor0(D_4455,A_4459,B_4457)
| ~ l2_altcat_1(C_4456)
| ~ v12_altcat_1(C_4456)
| v3_struct_0(C_4456)
| ~ l2_altcat_1(B_4457)
| ~ v12_altcat_1(B_4457)
| v3_struct_0(B_4457)
| ~ l2_altcat_1(A_4459)
| ~ v12_altcat_1(A_4459)
| v3_struct_0(A_4459) ),
inference(cnfTransformation,[status(thm)],[f_1125]) ).
tff(c_34290,plain,
( v12_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_34287]) ).
tff(c_34292,plain,
( v12_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34286,c_34057,c_34290]) ).
tff(c_34298,plain,
~ v12_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_34292]) ).
tff(c_34301,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_248,c_34298]) ).
tff(c_34308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_34301]) ).
tff(c_34310,plain,
v12_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_34292]) ).
tff(c_34312,plain,
! [A_4470,B_4468,C_4467,E_4469,D_4466] :
( v9_functor0(k13_functor0(A_4470,B_4468,C_4467,D_4466,E_4469),A_4470,C_4467)
| ~ l2_functor0(E_4469,B_4468,C_4467)
| ~ v12_functor0(E_4469,B_4468,C_4467)
| ~ l2_functor0(D_4466,A_4470,B_4468)
| ~ v12_functor0(D_4466,A_4470,B_4468)
| ~ v8_functor0(D_4466,A_4470,B_4468)
| ~ v6_functor0(D_4466,A_4470,B_4468)
| ~ l2_altcat_1(C_4467)
| ~ v12_altcat_1(C_4467)
| v3_struct_0(C_4467)
| ~ l2_altcat_1(B_4468)
| ~ v12_altcat_1(B_4468)
| v3_struct_0(B_4468)
| ~ l2_altcat_1(A_4470)
| ~ v12_altcat_1(A_4470)
| v3_struct_0(A_4470) ),
inference(cnfTransformation,[status(thm)],[f_1125]) ).
tff(c_34315,plain,
( v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_34312]) ).
tff(c_34317,plain,
( v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34310,c_34310,c_34286,c_34057,c_34315]) ).
tff(c_34318,plain,
~ l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_34317]) ).
tff(c_34321,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_244,c_34318]) ).
tff(c_34325,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_34321]) ).
tff(c_34327,plain,
l2_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_34317]) ).
tff(c_27509,plain,
! [A_3490] :
( ( k12_functor0(A_3490) = k11_functor0(A_3490) )
| ~ l2_altcat_1(A_3490)
| ~ v12_altcat_1(A_3490)
| ~ v2_altcat_1(A_3490)
| v3_struct_0(A_3490) ),
inference(cnfTransformation,[status(thm)],[f_1546]) ).
tff(c_35738,plain,
! [A_4626] :
( v1_xboole_0(A_4626)
| ( k12_functor0(k5_waybel34(A_4626)) = k11_functor0(k5_waybel34(A_4626)) )
| ~ l2_altcat_1(k5_waybel34(A_4626))
| ~ v12_altcat_1(k5_waybel34(A_4626))
| ~ v2_altcat_1(k5_waybel34(A_4626)) ),
inference(resolution,[status(thm)],[c_27509,c_256]) ).
tff(c_36182,plain,
! [A_4647] :
( ( k12_functor0(k5_waybel34(A_4647)) = k11_functor0(k5_waybel34(A_4647)) )
| ~ l2_altcat_1(k5_waybel34(A_4647))
| ~ v12_altcat_1(k5_waybel34(A_4647))
| v1_xboole_0(A_4647) ),
inference(resolution,[status(thm)],[c_254,c_35738]) ).
tff(c_36185,plain,
( ( k12_functor0(k5_waybel34('#skF_1')) = k11_functor0(k5_waybel34('#skF_1')) )
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| v1_xboole_0('#skF_1') ),
inference(resolution,[status(thm)],[c_34310,c_36182]) ).
tff(c_36194,plain,
( ( k12_functor0(k5_waybel34('#skF_1')) = k11_functor0(k5_waybel34('#skF_1')) )
| v1_xboole_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_34327,c_36185]) ).
tff(c_36195,plain,
k12_functor0(k5_waybel34('#skF_1')) = k11_functor0(k5_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_24945,c_36194]) ).
tff(c_36205,plain,
( m2_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_36195,c_204]) ).
tff(c_36217,plain,
( m2_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34310,c_34327,c_36205]) ).
tff(c_36340,plain,
~ v2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_36217]) ).
tff(c_36343,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_254,c_36340]) ).
tff(c_36350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_36343]) ).
tff(c_36352,plain,
v2_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_36217]) ).
tff(c_36351,plain,
( v3_struct_0(k5_waybel34('#skF_1'))
| m2_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_36217]) ).
tff(c_36360,plain,
m2_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_36351]) ).
tff(c_290,plain,
! [C_142,A_139,B_140] :
( l2_functor0(C_142,A_139,B_140)
| ~ m2_functor0(C_142,A_139,B_140)
| ~ l2_altcat_1(B_140)
| ~ v12_altcat_1(B_140)
| v3_struct_0(B_140)
| ~ l2_altcat_1(A_139)
| ~ v12_altcat_1(A_139)
| ~ v2_altcat_1(A_139)
| v3_struct_0(A_139) ),
inference(cnfTransformation,[status(thm)],[f_755]) ).
tff(c_36363,plain,
( l2_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_36360,c_290]) ).
tff(c_36366,plain,
( l2_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_36352,c_34310,c_34327,c_36363]) ).
tff(c_36367,plain,
v3_struct_0(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_36366]) ).
tff(c_36385,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_36367,c_256]) ).
tff(c_36392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_36385]) ).
tff(c_36394,plain,
~ v3_struct_0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_36366]) ).
tff(c_28301,plain,
! [A_3714,B_3715,C_3716] :
( l2_functor0(k15_functor0(A_3714,B_3715,C_3716),B_3715,A_3714)
| ~ l2_functor0(C_3716,A_3714,B_3715)
| ~ l1_altcat_1(B_3715)
| v3_struct_0(B_3715)
| ~ l1_altcat_1(A_3714)
| v3_struct_0(A_3714) ),
inference(cnfTransformation,[status(thm)],[f_631]) ).
tff(c_37556,plain,
! [A_4831] :
( l2_functor0(k7_waybel34(A_4831),k5_waybel34(A_4831),k4_waybel34(A_4831))
| ~ l2_functor0(k6_waybel34(A_4831),k4_waybel34(A_4831),k5_waybel34(A_4831))
| ~ l1_altcat_1(k5_waybel34(A_4831))
| v3_struct_0(k5_waybel34(A_4831))
| ~ l1_altcat_1(k4_waybel34(A_4831))
| v3_struct_0(k4_waybel34(A_4831))
| v2_setfam_1(A_4831) ),
inference(superposition,[status(thm),theory(equality)],[c_654,c_28301]) ).
tff(c_30035,plain,
( ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| l2_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_30020]) ).
tff(c_34393,plain,
( ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| l2_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34057,c_34286,c_34114,c_34091,c_30035]) ).
tff(c_34394,plain,
~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_34393]) ).
tff(c_37559,plain,
( ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(resolution,[status(thm)],[c_37556,c_34394]) ).
tff(c_37565,plain,
( v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v2_setfam_1('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_34091,c_29911,c_34057,c_37559]) ).
tff(c_37566,plain,
v3_struct_0(k4_waybel34('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_4,c_36394,c_37565]) ).
tff(c_37570,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_37566,c_242]) ).
tff(c_37577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_37570]) ).
tff(c_37579,plain,
l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_34393]) ).
tff(c_34056,plain,
( ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_30044]) ).
tff(c_38110,plain,
( v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34091,c_34114,c_34286,c_37579,c_34056]) ).
tff(c_38111,plain,
v3_struct_0(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38110]) ).
tff(c_38114,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_38111,c_242]) ).
tff(c_38121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_38114]) ).
tff(c_38123,plain,
~ v3_struct_0(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38110]) ).
tff(c_462,plain,
! [A_232] :
( v11_functor0(k6_waybel34(A_232),k4_waybel34(A_232),k5_waybel34(A_232))
| v2_setfam_1(A_232) ),
inference(cnfTransformation,[status(thm)],[f_1227]) ).
tff(c_478,plain,
! [A_233] :
( v11_functor0(k7_waybel34(A_233),k5_waybel34(A_233),k4_waybel34(A_233))
| v2_setfam_1(A_233) ),
inference(cnfTransformation,[status(thm)],[f_1246]) ).
tff(c_34058,plain,
! [C_4439,E_4442,D_4440,A_4438,B_4441] :
( v11_functor0(k13_functor0(A_4438,B_4441,C_4439,D_4440,E_4442),A_4438,C_4439)
| ~ l2_functor0(E_4442,B_4441,C_4439)
| ~ v10_functor0(E_4442,B_4441,C_4439)
| ~ l2_functor0(D_4440,A_4438,B_4441)
| ~ v11_functor0(D_4440,A_4438,B_4441)
| ~ v8_functor0(D_4440,A_4438,B_4441)
| ~ l1_altcat_1(C_4439)
| ~ v1_altcat_2(C_4439)
| v3_struct_0(C_4439)
| ~ l1_altcat_1(B_4441)
| ~ v1_altcat_2(B_4441)
| v3_struct_0(B_4441)
| ~ l1_altcat_1(A_4438)
| v3_struct_0(A_4438) ),
inference(cnfTransformation,[status(thm)],[f_983]) ).
tff(c_34061,plain,
( v11_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v10_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_24910,c_34058]) ).
tff(c_34063,plain,
( v11_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v10_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_29911,c_30036,c_29911,c_34061]) ).
tff(c_34359,plain,
( v11_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v10_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34091,c_34114,c_34286,c_34057,c_34063]) ).
tff(c_34360,plain,
~ v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_34359]) ).
tff(c_34363,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_478,c_34360]) ).
tff(c_34367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_34363]) ).
tff(c_34369,plain,
v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_34359]) ).
tff(c_34113,plain,
( ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v11_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v10_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_34098]) ).
tff(c_37587,plain,
( ~ v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v10_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_37579,c_34369,c_34286,c_34113]) ).
tff(c_37588,plain,
~ v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_37587]) ).
tff(c_37591,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_462,c_37588]) ).
tff(c_37595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_37591]) ).
tff(c_37596,plain,
( v10_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_37587]) ).
tff(c_38152,plain,
( v10_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_38123,c_37596]) ).
tff(c_38153,plain,
v3_struct_0(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38152]) ).
tff(c_38156,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_38153,c_256]) ).
tff(c_38163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_38156]) ).
tff(c_38165,plain,
~ v3_struct_0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38152]) ).
tff(c_34090,plain,
( ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v8_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_34081]) ).
tff(c_38191,plain,
( ~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v8_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_37579,c_34286,c_34114,c_34090]) ).
tff(c_38192,plain,
( ~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v8_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_38123,c_38165,c_38191]) ).
tff(c_38193,plain,
~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38192]) ).
tff(c_38199,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_466,c_38193]) ).
tff(c_38207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_38199]) ).
tff(c_38209,plain,
v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38192]) ).
tff(c_470,plain,
! [A_233] :
( v21_functor0(k7_waybel34(A_233),k5_waybel34(A_233),k4_waybel34(A_233))
| v2_setfam_1(A_233) ),
inference(cnfTransformation,[status(thm)],[f_1246]) ).
tff(c_644,plain,
! [A_286] :
( ( k12_functor0(A_286) = k11_functor0(A_286) )
| ~ l2_altcat_1(A_286)
| ~ v12_altcat_1(A_286)
| ~ v2_altcat_1(A_286)
| v3_struct_0(A_286) ),
inference(cnfTransformation,[status(thm)],[f_1546]) ).
tff(c_38174,plain,
( ( k12_functor0(k5_waybel34('#skF_1')) = k11_functor0(k5_waybel34('#skF_1')) )
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_644,c_38165]) ).
tff(c_38186,plain,
( ( k12_functor0(k5_waybel34('#skF_1')) = k11_functor0(k5_waybel34('#skF_1')) )
| ~ v2_altcat_1(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34310,c_34327,c_38174]) ).
tff(c_38210,plain,
~ v2_altcat_1(k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38186]) ).
tff(c_38213,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_254,c_38210]) ).
tff(c_38220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_38213]) ).
tff(c_38222,plain,
v2_altcat_1(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38186]) ).
tff(c_476,plain,
! [A_233] :
( v12_functor0(k7_waybel34(A_233),k5_waybel34(A_233),k4_waybel34(A_233))
| v2_setfam_1(A_233) ),
inference(cnfTransformation,[status(thm)],[f_1246]) ).
tff(c_460,plain,
! [A_232] :
( v12_functor0(k6_waybel34(A_232),k4_waybel34(A_232),k5_waybel34(A_232))
| v2_setfam_1(A_232) ),
inference(cnfTransformation,[status(thm)],[f_1227]) ).
tff(c_34326,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_34317]) ).
tff(c_37650,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v9_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_37579,c_34326]) ).
tff(c_37651,plain,
~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_37650]) ).
tff(c_37657,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_460,c_37651]) ).
tff(c_37664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_37657]) ).
tff(c_37666,plain,
v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_37650]) ).
tff(c_34309,plain,
( ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v12_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_34292]) ).
tff(c_37849,plain,
( ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v12_functor0(k12_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_37666,c_37579,c_34327,c_34309]) ).
tff(c_37850,plain,
~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_37849]) ).
tff(c_37856,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_476,c_37850]) ).
tff(c_37863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_37856]) ).
tff(c_37865,plain,
v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_37849]) ).
tff(c_38221,plain,
k12_functor0(k5_waybel34('#skF_1')) = k11_functor0(k5_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38186]) ).
tff(c_38234,plain,
k13_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k7_waybel34('#skF_1'),k6_waybel34('#skF_1')) = k11_functor0(k5_waybel34('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_38221,c_24910]) ).
tff(c_380,plain,
! [C_224,D_225,A_222,E_226,B_223] :
( v12_functor0(k13_functor0(A_222,B_223,C_224,D_225,E_226),A_222,C_224)
| ~ l2_functor0(E_226,B_223,C_224)
| ~ v12_functor0(E_226,B_223,C_224)
| ~ l2_functor0(D_225,A_222,B_223)
| ~ v12_functor0(D_225,A_222,B_223)
| ~ v8_functor0(D_225,A_222,B_223)
| ~ v6_functor0(D_225,A_222,B_223)
| ~ l2_altcat_1(C_224)
| ~ v12_altcat_1(C_224)
| v3_struct_0(C_224)
| ~ l2_altcat_1(B_223)
| ~ v12_altcat_1(B_223)
| v3_struct_0(B_223)
| ~ l2_altcat_1(A_222)
| ~ v12_altcat_1(A_222)
| v3_struct_0(A_222) ),
inference(cnfTransformation,[status(thm)],[f_1125]) ).
tff(c_38270,plain,
( v12_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v12_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v12_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v8_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_38234,c_380]) ).
tff(c_38298,plain,
( v12_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34310,c_34327,c_34310,c_34327,c_34286,c_37865,c_37579,c_37666,c_34057,c_38270]) ).
tff(c_38299,plain,
( v12_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_38165,c_38123,c_38298]) ).
tff(c_38429,plain,
~ v12_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38299]) ).
tff(c_38432,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_234,c_38429]) ).
tff(c_38439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_38432]) ).
tff(c_38441,plain,
v12_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38299]) ).
tff(c_484,plain,
! [A_233] :
( v6_functor0(k7_waybel34(A_233),k5_waybel34(A_233),k4_waybel34(A_233))
| v2_setfam_1(A_233) ),
inference(cnfTransformation,[status(thm)],[f_1246]) ).
tff(c_38440,plain,
( ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v12_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_38299]) ).
tff(c_38728,plain,
~ v6_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38440]) ).
tff(c_38749,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_484,c_38728]) ).
tff(c_38777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_38749]) ).
tff(c_38778,plain,
( ~ l2_altcat_1(k4_waybel34('#skF_1'))
| v12_functor0(k11_functor0(k5_waybel34('#skF_1')),k5_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_38440]) ).
tff(c_38780,plain,
~ l2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38778]) ).
tff(c_38783,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_230,c_38780]) ).
tff(c_38787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_38783]) ).
tff(c_38789,plain,
l2_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38778]) ).
tff(c_38138,plain,
( ( k12_functor0(k4_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')) )
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_644,c_38123]) ).
tff(c_38882,plain,
( ( k12_functor0(k4_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')) )
| ~ v2_altcat_1(k4_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_38441,c_38789,c_38138]) ).
tff(c_38883,plain,
~ v2_altcat_1(k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_38882]) ).
tff(c_38886,plain,
v1_xboole_0('#skF_1'),
inference(resolution,[status(thm)],[c_240,c_38883]) ).
tff(c_38893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24945,c_38886]) ).
tff(c_38895,plain,
v2_altcat_1(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38882]) ).
tff(c_38894,plain,
k12_functor0(k4_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_38882]) ).
tff(c_37869,plain,
! [B_4874,A_4875,D_4876,C_4877] :
( ( k13_functor0(B_4874,A_4875,B_4874,D_4876,C_4877) = k12_functor0(B_4874) )
| ( k15_functor0(A_4875,B_4874,C_4877) != g2_functor0(B_4874,A_4875,u1_functor0(B_4874,A_4875,D_4876),u2_functor0(B_4874,A_4875,D_4876)) )
| ~ l2_functor0(D_4876,B_4874,A_4875)
| ~ v8_functor0(D_4876,B_4874,A_4875)
| ~ v21_functor0(C_4877,A_4875,B_4874)
| ~ l2_functor0(C_4877,A_4875,B_4874)
| ~ v8_functor0(C_4877,A_4875,B_4874)
| ~ l2_altcat_1(B_4874)
| ~ v1_altcat_2(B_4874)
| ~ v12_altcat_1(B_4874)
| ~ v2_altcat_1(B_4874)
| v3_struct_0(B_4874)
| ~ l2_altcat_1(A_4875)
| ~ v1_altcat_2(A_4875)
| ~ v12_altcat_1(A_4875)
| ~ v2_altcat_1(A_4875)
| v3_struct_0(A_4875) ),
inference(cnfTransformation,[status(thm)],[f_1602]) ).
tff(c_43644,plain,
! [A_5375,B_5376,C_5377,C_5378] :
( ( k13_functor0(A_5375,B_5376,A_5375,C_5377,C_5378) = k12_functor0(A_5375) )
| ( k15_functor0(B_5376,A_5375,C_5378) != C_5377 )
| ~ l2_functor0(C_5377,A_5375,B_5376)
| ~ v8_functor0(C_5377,A_5375,B_5376)
| ~ v21_functor0(C_5378,B_5376,A_5375)
| ~ l2_functor0(C_5378,B_5376,A_5375)
| ~ v8_functor0(C_5378,B_5376,A_5375)
| ~ l2_altcat_1(A_5375)
| ~ v1_altcat_2(A_5375)
| ~ v12_altcat_1(A_5375)
| ~ v2_altcat_1(A_5375)
| v3_struct_0(A_5375)
| ~ l2_altcat_1(B_5376)
| ~ v1_altcat_2(B_5376)
| ~ v12_altcat_1(B_5376)
| ~ v2_altcat_1(B_5376)
| v3_struct_0(B_5376)
| ~ v9_functor0(C_5377,A_5375,B_5376)
| ~ l2_functor0(C_5377,A_5375,B_5376)
| ~ l1_altcat_1(B_5376)
| ~ l1_altcat_1(A_5375) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_37869]) ).
tff(c_43650,plain,
! [C_5377] :
( ( k13_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),C_5377,k7_waybel34('#skF_1')) = k12_functor0(k4_waybel34('#skF_1')) )
| ( k15_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1')) != C_5377 )
| ~ v8_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v21_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k4_waybel34('#skF_1'))
| ~ v1_altcat_2(k4_waybel34('#skF_1'))
| ~ v12_altcat_1(k4_waybel34('#skF_1'))
| ~ v2_altcat_1(k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| ~ l2_altcat_1(k5_waybel34('#skF_1'))
| ~ v1_altcat_2(k5_waybel34('#skF_1'))
| ~ v12_altcat_1(k5_waybel34('#skF_1'))
| ~ v2_altcat_1(k5_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ v9_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k5_waybel34('#skF_1'))
| ~ l1_altcat_1(k4_waybel34('#skF_1')) ),
inference(resolution,[status(thm)],[c_34286,c_43644]) ).
tff(c_43683,plain,
! [C_5377] :
( ( k13_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),C_5377,k7_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')) )
| ( k15_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1')) != C_5377 )
| ~ v8_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v21_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| v3_struct_0(k4_waybel34('#skF_1'))
| v3_struct_0(k5_waybel34('#skF_1'))
| ~ v9_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34091,c_29911,c_38222,c_34310,c_34114,c_34327,c_38895,c_38441,c_30036,c_38789,c_37579,c_38894,c_43650]) ).
tff(c_43684,plain,
! [C_5377] :
( ( k13_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),C_5377,k7_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')) )
| ( k15_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1')) != C_5377 )
| ~ v8_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v21_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'))
| ~ v9_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(C_5377,k4_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_38165,c_38123,c_43683]) ).
tff(c_43696,plain,
~ v21_functor0(k7_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_43684]) ).
tff(c_43699,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_470,c_43696]) ).
tff(c_43703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_43699]) ).
tff(c_43759,plain,
! [C_5394] :
( ( k13_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),C_5394,k7_waybel34('#skF_1')) = k11_functor0(k4_waybel34('#skF_1')) )
| ( k15_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1')) != C_5394 )
| ~ v8_functor0(C_5394,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v9_functor0(C_5394,k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(C_5394,k4_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(splitRight,[status(thm)],[c_43684]) ).
tff(c_24909,plain,
k13_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k6_waybel34('#skF_1'),k7_waybel34('#skF_1')) != k12_functor0(k4_waybel34('#skF_1')),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_38903,plain,
k13_functor0(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k6_waybel34('#skF_1'),k7_waybel34('#skF_1')) != k11_functor0(k4_waybel34('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_38894,c_24909]) ).
tff(c_43768,plain,
( ( k15_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1')) != k6_waybel34('#skF_1') )
| ~ v8_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ v9_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
| ~ l2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_43759,c_38903]) ).
tff(c_43805,plain,
( ( k15_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1')) != k6_waybel34('#skF_1') )
| ~ v9_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_34057,c_38209,c_43768]) ).
tff(c_44110,plain,
~ v9_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
inference(splitLeft,[status(thm)],[c_43805]) ).
tff(c_44113,plain,
v2_setfam_1('#skF_1'),
inference(resolution,[status(thm)],[c_464,c_44110]) ).
tff(c_44117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_44113]) ).
tff(c_44118,plain,
k15_functor0(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1')) != k6_waybel34('#skF_1'),
inference(splitRight,[status(thm)],[c_43805]) ).
tff(c_44122,plain,
v2_setfam_1('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_652,c_44118]) ).
tff(c_44126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_44122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 12:35:37 EDT 2023
% 0.20/0.35 % CPUTime :
% 40.75/24.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.92/24.23
% 40.92/24.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 41.27/24.30
% 41.27/24.30 Inference rules
% 41.27/24.30 ----------------------
% 41.27/24.30 #Ref : 45
% 41.27/24.30 #Sup : 9583
% 41.27/24.30 #Fact : 0
% 41.27/24.30 #Define : 0
% 41.27/24.30 #Split : 111
% 41.27/24.30 #Chain : 0
% 41.27/24.30 #Close : 0
% 41.27/24.30
% 41.27/24.30 Ordering : KBO
% 41.27/24.30
% 41.27/24.30 Simplification rules
% 41.27/24.30 ----------------------
% 41.27/24.30 #Subsume : 4077
% 41.27/24.30 #Demod : 1376
% 41.27/24.30 #Tautology : 658
% 41.27/24.30 #SimpNegUnit : 1367
% 41.27/24.30 #BackRed : 1037
% 41.27/24.30
% 41.27/24.30 #Partial instantiations: 0
% 41.27/24.30 #Strategies tried : 1
% 41.27/24.30
% 41.27/24.30 Timing (in seconds)
% 41.27/24.30 ----------------------
% 41.27/24.30 Preprocessing : 1.03
% 41.27/24.30 Parsing : 0.53
% 41.27/24.30 CNF conversion : 0.10
% 41.27/24.30 Main loop : 22.14
% 41.27/24.30 Inferencing : 8.76
% 41.27/24.30 Reduction : 6.92
% 41.27/24.30 Demodulation : 4.84
% 41.27/24.30 BG Simplification : 0.15
% 41.27/24.30 Subsumption : 5.09
% 41.27/24.30 Abstraction : 0.19
% 41.27/24.30 MUC search : 0.00
% 41.27/24.30 Cooper : 0.00
% 41.27/24.30 Total : 23.29
% 41.27/24.30 Index Insertion : 0.00
% 41.27/24.31 Index Deletion : 0.00
% 41.27/24.31 Index Matching : 0.00
% 41.27/24.31 BG Taut test : 0.00
%------------------------------------------------------------------------------