TSTP Solution File: LAT370+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT370+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.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 10:47:02 EDT 2023
% Result : Theorem 267.74s 229.14s
% Output : CNFRefutation 268.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 133
% Syntax : Number of formulae : 332 ( 86 unt; 107 typ; 0 def)
% Number of atoms : 983 ( 10 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 1261 ( 503 ~; 519 |; 181 &)
% ( 2 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 154 ( 91 >; 63 *; 0 +; 0 <<)
% Number of predicates : 63 ( 61 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 16 con; 0-3 aty)
% Number of variables : 143 (; 143 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v5_waybel_1 > v5_orders_3 > v4_waybel_1 > v2_funct_2 > v23_waybel_0 > v22_waybel_0 > v21_waybel_0 > v20_waybel_0 > v1_waybel34 > v1_partfun1 > v1_funct_2 > v19_waybel_0 > v18_waybel_0 > v17_waybel_0 > m2_relset_1 > m1_relset_1 > v8_waybel_1 > v7_yellow_0 > v7_waybel_1 > v6_waybel_1 > v5_yellow_0 > v4_yellow_0 > v4_waybel_0 > v3_waybel_0 > r2_hidden > r1_tarski > m1_yellow_0 > m1_subset_1 > v5_membered > v4_ordinal2 > v4_orders_2 > v4_membered > v3_yellow_0 > v3_waybel_3 > v3_struct_0 > v3_orders_2 > v3_membered > v3_lattice3 > v2_yellow_0 > v2_waybel_3 > v2_orders_2 > v2_membered > v2_lattice3 > v2_funct_1 > v25_waybel_0 > v24_waybel_0 > v1_yellow_0 > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_relat_1 > v1_rat_1 > v1_orders_2 > v1_membered > v1_lattice3 > v1_int_1 > v1_funct_1 > v1_finset_1 > v11_quantal1 > l1_struct_0 > l1_orders_2 > k3_waybel_1 > k2_yellow_2 > k2_waybel_1 > k2_waybel34 > k1_waybel34 > k8_relat_1 > k2_zfmisc_1 > g1_orders_2 > #nlpp > u1_struct_0 > u1_orders_2 > k7_grcat_1 > k1_zfmisc_1 > k1_xboole_0 > #skF_7 > #skF_21 > #skF_16 > #skF_18 > #skF_24 > #skF_11 > #skF_25 > #skF_31 > #skF_32 > #skF_19 > #skF_13 > #skF_10 > #skF_26 > #skF_14 > #skF_28 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_9 > #skF_33 > #skF_4 > #skF_17 > #skF_22 > #skF_23 > #skF_27 > #skF_29 > #skF_5 > #skF_30 > #skF_15 > #skF_6 > #skF_12 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v1_orders_2,type,
v1_orders_2: $i > $o ).
tff(v5_yellow_0,type,
v5_yellow_0: ( $i * $i ) > $o ).
tff(k8_relat_1,type,
k8_relat_1: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(k2_waybel_1,type,
k2_waybel_1: ( $i * $i * $i ) > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(v3_orders_2,type,
v3_orders_2: $i > $o ).
tff(v4_waybel_0,type,
v4_waybel_0: ( $i * $i ) > $o ).
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(v3_yellow_0,type,
v3_yellow_0: $i > $o ).
tff(k7_grcat_1,type,
k7_grcat_1: $i > $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(v3_waybel_3,type,
v3_waybel_3: $i > $o ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff(v4_yellow_0,type,
v4_yellow_0: ( $i * $i ) > $o ).
tff(v21_waybel_0,type,
v21_waybel_0: ( $i * $i * $i ) > $o ).
tff(v7_waybel_1,type,
v7_waybel_1: ( $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(v5_orders_3,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(v3_lattice3,type,
v3_lattice3: $i > $o ).
tff(v3_waybel_0,type,
v3_waybel_0: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(v22_waybel_0,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff(g1_orders_2,type,
g1_orders_2: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(v1_lattice3,type,
v1_lattice3: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v8_waybel_1,type,
v8_waybel_1: ( $i * $i ) > $o ).
tff(v2_yellow_0,type,
v2_yellow_0: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v20_waybel_0,type,
v20_waybel_0: ( $i * $i * $i ) > $o ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v18_waybel_0,type,
v18_waybel_0: ( $i * $i * $i ) > $o ).
tff(v11_quantal1,type,
v11_quantal1: $i > $o ).
tff(v2_waybel_3,type,
v2_waybel_3: $i > $o ).
tff(v4_orders_2,type,
v4_orders_2: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(v7_yellow_0,type,
v7_yellow_0: ( $i * $i ) > $o ).
tff(v2_funct_2,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(m1_yellow_0,type,
m1_yellow_0: ( $i * $i ) > $o ).
tff(v2_orders_2,type,
v2_orders_2: $i > $o ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff(l1_orders_2,type,
l1_orders_2: $i > $o ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff(v17_waybel_0,type,
v17_waybel_0: ( $i * $i * $i ) > $o ).
tff(v6_waybel_1,type,
v6_waybel_1: ( $i * $i ) > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(v19_waybel_0,type,
v19_waybel_0: ( $i * $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(k2_yellow_2,type,
k2_yellow_2: ( $i * $i * $i ) > $i ).
tff(k2_waybel34,type,
k2_waybel34: ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v25_waybel_0,type,
v25_waybel_0: $i > $o ).
tff(v5_waybel_1,type,
v5_waybel_1: ( $i * $i * $i ) > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(v2_lattice3,type,
v2_lattice3: $i > $o ).
tff(u1_orders_2,type,
u1_orders_2: $i > $i ).
tff(v23_waybel_0,type,
v23_waybel_0: ( $i * $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(k3_waybel_1,type,
k3_waybel_1: ( $i * $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v24_waybel_0,type,
v24_waybel_0: $i > $o ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(k1_waybel34,type,
k1_waybel34: ( $i * $i * $i ) > $i ).
tff(v1_finset_1,type,
v1_finset_1: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(v1_waybel34,type,
v1_waybel34: ( $i * $i * $i ) > $o ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(v1_yellow_0,type,
v1_yellow_0: $i > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v4_waybel_1,type,
v4_waybel_1: ( $i * $i * $i ) > $o ).
tff(f_59,negated_conjecture,
~ ! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& v3_waybel_3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
=> v4_waybel_0(k2_yellow_2(A,A,B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_waybel34) ).
tff(f_762,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_waybel_3(A) )
=> ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v24_waybel_0(A)
& v2_waybel_3(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_3) ).
tff(f_602,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
tff(f_2413,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
tff(f_1544,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ~ v3_struct_0(k2_yellow_2(A,B,C))
& v1_orders_2(k2_yellow_2(A,B,C))
& v4_yellow_0(k2_yellow_2(A,B,C),B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_2) ).
tff(f_519,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( ~ v3_struct_0(A)
& v3_lattice3(A) )
=> ( ~ v3_struct_0(A)
& v1_lattice3(A)
& v2_lattice3(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
tff(f_849,axiom,
! [A] :
( ( v2_orders_2(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
=> ( v2_orders_2(B)
& v4_yellow_0(B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_yellow_0) ).
tff(f_1121,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_orders_2(k2_yellow_2(A,B,C))
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& m1_yellow_0(k2_yellow_2(A,B,C),B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
tff(f_1166,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( m1_yellow_0(B,A)
=> l1_orders_2(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
tff(f_1791,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_relat_1(k3_waybel_1(A,B,C))
& v1_funct_1(k3_waybel_1(A,B,C))
& v2_funct_1(k3_waybel_1(A,B,C))
& ~ v1_xboole_0(k3_waybel_1(A,B,C))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_partfun1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v5_orders_3(k3_waybel_1(A,B,C),k2_yellow_2(A,B,C),B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel_1) ).
tff(f_2500,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v18_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
& v17_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
& ( k2_waybel34(k2_yellow_2(A,A,B),A,k2_waybel_1(A,A,B)) = k3_waybel_1(A,A,B) )
& ( k1_waybel34(k2_yellow_2(A,A,B),A,k3_waybel_1(A,A,B)) = k2_waybel_1(A,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_waybel34) ).
tff(f_889,axiom,
! [A] :
( ( v3_orders_2(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
=> ( v3_orders_2(B)
& v4_yellow_0(B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc7_yellow_0) ).
tff(f_929,axiom,
! [A] :
( ( v4_orders_2(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
=> ( v4_orders_2(B)
& v4_yellow_0(B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_yellow_0) ).
tff(f_200,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v1_yellow_0(A)
& v24_waybel_0(A) )
=> ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& v1_yellow_0(A)
& v2_yellow_0(A)
& v3_yellow_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
tff(f_374,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
=> ( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v6_waybel_1(B,A) )
=> ( v1_funct_1(B)
& ~ v1_xboole_0(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v11_quantal1(B)
& v5_orders_3(B,A,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel10) ).
tff(f_703,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
=> ( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A) )
=> ( v1_funct_1(B)
& ~ v1_xboole_0(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v6_waybel_1(B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel_1) ).
tff(f_1281,axiom,
! [A,B] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v6_waybel_1(B,A)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( ~ v3_struct_0(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v1_yellow_0(k2_yellow_2(A,A,B))
& v2_yellow_0(k2_yellow_2(A,A,B))
& v3_yellow_0(k2_yellow_2(A,A,B))
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v24_waybel_0(k2_yellow_2(A,A,B))
& v25_waybel_0(k2_yellow_2(A,A,B))
& v1_lattice3(k2_yellow_2(A,A,B))
& v2_lattice3(k2_yellow_2(A,A,B))
& v3_lattice3(k2_yellow_2(A,A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel34) ).
tff(f_770,axiom,
! [A] :
( l1_orders_2(A)
=> ( v3_yellow_0(A)
=> ( v1_yellow_0(A)
& v2_yellow_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
tff(f_95,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_lattice3(A) )
=> ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v24_waybel_0(A)
& v25_waybel_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
tff(f_339,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
tff(f_2463,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& v3_waybel_3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_waybel34(k1_waybel34(A,B,C),B,A)
=> v22_waybel_0(C,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_waybel34) ).
tff(f_836,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v19_waybel_0(C,A,B)
& v21_waybel_0(C,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_waybel_0) ).
tff(f_1143,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k3_waybel_1(A,B,C))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& m2_relset_1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
tff(f_998,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( k3_waybel_1(A,B,C) = k7_grcat_1(k2_yellow_2(A,B,C)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_waybel_1) ).
tff(f_412,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v4_orders_2(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& l1_orders_2(B) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v22_waybel_0(C,A,B) )
=> ( ~ v1_xboole_0(C)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v5_orders_3(C,A,B)
& v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_waybel17) ).
tff(f_2531,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v4_waybel_0(k2_yellow_2(A,A,B),A)
<=> v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_waybel34) ).
tff(c_2,plain,
~ v4_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_28,plain,
v2_orders_2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_26,plain,
v3_orders_2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_24,plain,
v4_orders_2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_22,plain,
v1_lattice3('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_20,plain,
v2_lattice3('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_18,plain,
v3_lattice3('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_14,plain,
l1_orders_2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_12,plain,
v1_funct_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_10,plain,
v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_8,plain,
v7_waybel_1('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_6,plain,
m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_16,plain,
v3_waybel_3('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_4014,plain,
! [A_744] :
( v2_waybel_3(A_744)
| ~ v3_waybel_3(A_744)
| ~ v2_orders_2(A_744)
| v3_struct_0(A_744)
| ~ l1_orders_2(A_744) ),
inference(cnfTransformation,[status(thm)],[f_762]) ).
tff(c_4020,plain,
( v2_waybel_3('#skF_1')
| ~ v2_orders_2('#skF_1')
| v3_struct_0('#skF_1')
| ~ l1_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_16,c_4014]) ).
tff(c_4027,plain,
( v2_waybel_3('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_28,c_4020]) ).
tff(c_4028,plain,
v3_struct_0('#skF_1'),
inference(splitLeft,[status(thm)],[c_4027]) ).
tff(c_260,plain,
! [A_75] :
( ~ v3_struct_0(A_75)
| ~ v2_lattice3(A_75)
| ~ l1_orders_2(A_75) ),
inference(cnfTransformation,[status(thm)],[f_602]) ).
tff(c_4031,plain,
( ~ v2_lattice3('#skF_1')
| ~ l1_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_4028,c_260]) ).
tff(c_4038,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_20,c_4031]) ).
tff(c_4040,plain,
~ v3_struct_0('#skF_1'),
inference(splitRight,[status(thm)],[c_4027]) ).
tff(c_2009,plain,
! [C_458,A_459,B_460] :
( m1_relset_1(C_458,A_459,B_460)
| ~ m2_relset_1(C_458,A_459,B_460) ),
inference(cnfTransformation,[status(thm)],[f_2413]) ).
tff(c_2021,plain,
m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1')),
inference(resolution,[status(thm)],[c_6,c_2009]) ).
tff(c_9661,plain,
! [A_1334,B_1335,C_1336] :
( ~ v3_struct_0(k2_yellow_2(A_1334,B_1335,C_1336))
| ~ m1_relset_1(C_1336,u1_struct_0(A_1334),u1_struct_0(B_1335))
| ~ v1_funct_2(C_1336,u1_struct_0(A_1334),u1_struct_0(B_1335))
| ~ v1_funct_1(C_1336)
| ~ l1_orders_2(B_1335)
| v3_struct_0(B_1335)
| ~ l1_orders_2(A_1334)
| v3_struct_0(A_1334) ),
inference(cnfTransformation,[status(thm)],[f_1544]) ).
tff(c_9691,plain,
( ~ v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_9661]) ).
tff(c_9703,plain,
( ~ v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_9691]) ).
tff(c_9704,plain,
~ v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_4040,c_9703]) ).
tff(c_212,plain,
! [A_66] :
( v2_lattice3(A_66)
| ~ v3_lattice3(A_66)
| v3_struct_0(A_66)
| ~ l1_orders_2(A_66) ),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_9732,plain,
( v2_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_212,c_9704]) ).
tff(c_9752,plain,
~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_9732]) ).
tff(c_10203,plain,
! [A_1361,B_1362,C_1363] :
( v4_yellow_0(k2_yellow_2(A_1361,B_1362,C_1363),B_1362)
| ~ m1_relset_1(C_1363,u1_struct_0(A_1361),u1_struct_0(B_1362))
| ~ v1_funct_2(C_1363,u1_struct_0(A_1361),u1_struct_0(B_1362))
| ~ v1_funct_1(C_1363)
| ~ l1_orders_2(B_1362)
| v3_struct_0(B_1362)
| ~ l1_orders_2(A_1361)
| v3_struct_0(A_1361) ),
inference(cnfTransformation,[status(thm)],[f_1544]) ).
tff(c_10223,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_10203]) ).
tff(c_10235,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_10223]) ).
tff(c_10236,plain,
v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_4040,c_10235]) ).
tff(c_346,plain,
! [B_103,A_101] :
( v2_orders_2(B_103)
| ~ v4_yellow_0(B_103,A_101)
| ~ m1_yellow_0(B_103,A_101)
| ~ l1_orders_2(A_101)
| ~ v2_orders_2(A_101) ),
inference(cnfTransformation,[status(thm)],[f_849]) ).
tff(c_10239,plain,
( v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ l1_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10236,c_346]) ).
tff(c_10248,plain,
( v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_14,c_10239]) ).
tff(c_10255,plain,
~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_10248]) ).
tff(c_10256,plain,
! [A_1364,B_1365,C_1366] :
( m1_yellow_0(k2_yellow_2(A_1364,B_1365,C_1366),B_1365)
| ~ m1_relset_1(C_1366,u1_struct_0(A_1364),u1_struct_0(B_1365))
| ~ v1_funct_2(C_1366,u1_struct_0(A_1364),u1_struct_0(B_1365))
| ~ v1_funct_1(C_1366)
| ~ l1_orders_2(B_1365)
| v3_struct_0(B_1365)
| ~ l1_orders_2(A_1364)
| v3_struct_0(A_1364) ),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_10276,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_10256]) ).
tff(c_10288,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_10276]) ).
tff(c_10290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4040,c_10255,c_10288]) ).
tff(c_10292,plain,
m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_10248]) ).
tff(c_442,plain,
! [B_159,A_157] :
( l1_orders_2(B_159)
| ~ m1_yellow_0(B_159,A_157)
| ~ l1_orders_2(A_157) ),
inference(cnfTransformation,[status(thm)],[f_1166]) ).
tff(c_10303,plain,
( l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10292,c_442]) ).
tff(c_10306,plain,
l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_10303]) ).
tff(c_10308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9752,c_10306]) ).
tff(c_10310,plain,
l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_9732]) ).
tff(c_9314,plain,
! [A_1300,B_1301,C_1302] :
( v1_funct_1(k3_waybel_1(A_1300,B_1301,C_1302))
| ~ m1_relset_1(C_1302,u1_struct_0(A_1300),u1_struct_0(B_1301))
| ~ v1_funct_2(C_1302,u1_struct_0(A_1300),u1_struct_0(B_1301))
| ~ v1_funct_1(C_1302)
| ~ l1_orders_2(B_1301)
| v3_struct_0(B_1301)
| ~ l1_orders_2(A_1300)
| v3_struct_0(A_1300) ),
inference(cnfTransformation,[status(thm)],[f_1791]) ).
tff(c_9344,plain,
( v1_funct_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'))
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_9314]) ).
tff(c_9356,plain,
( v1_funct_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_9344]) ).
tff(c_9357,plain,
v1_funct_1(k3_waybel_1('#skF_1','#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_4040,c_9356]) ).
tff(c_39286,plain,
! [A_2914,B_2915] :
( v17_waybel_0(k3_waybel_1(A_2914,A_2914,B_2915),k2_yellow_2(A_2914,A_2914,B_2915),A_2914)
| ~ m2_relset_1(B_2915,u1_struct_0(A_2914),u1_struct_0(A_2914))
| ~ v7_waybel_1(B_2915,A_2914)
| ~ v1_funct_2(B_2915,u1_struct_0(A_2914),u1_struct_0(A_2914))
| ~ v1_funct_1(B_2915)
| ~ l1_orders_2(A_2914)
| ~ v3_lattice3(A_2914)
| ~ v2_lattice3(A_2914)
| ~ v1_lattice3(A_2914)
| ~ v4_orders_2(A_2914)
| ~ v3_orders_2(A_2914)
| ~ v2_orders_2(A_2914) ),
inference(cnfTransformation,[status(thm)],[f_2500]) ).
tff(c_39334,plain,
( v17_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v7_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| ~ v3_lattice3('#skF_1')
| ~ v2_lattice3('#skF_1')
| ~ v1_lattice3('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_39286]) ).
tff(c_39367,plain,
v17_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_24,c_22,c_20,c_18,c_14,c_12,c_8,c_6,c_39334]) ).
tff(c_760,plain,
! [A_210,B_211,C_212] :
( v1_funct_2(k3_waybel_1(A_210,B_211,C_212),u1_struct_0(k2_yellow_2(A_210,B_211,C_212)),u1_struct_0(B_211))
| ~ m1_relset_1(C_212,u1_struct_0(A_210),u1_struct_0(B_211))
| ~ v1_funct_2(C_212,u1_struct_0(A_210),u1_struct_0(B_211))
| ~ v1_funct_1(C_212)
| ~ l1_orders_2(B_211)
| v3_struct_0(B_211)
| ~ l1_orders_2(A_210)
| v3_struct_0(A_210) ),
inference(cnfTransformation,[status(thm)],[f_1791]) ).
tff(c_214,plain,
! [A_66] :
( v1_lattice3(A_66)
| ~ v3_lattice3(A_66)
| v3_struct_0(A_66)
| ~ l1_orders_2(A_66) ),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_9731,plain,
( v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_214,c_9704]) ).
tff(c_10312,plain,
( v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10310,c_9731]) ).
tff(c_10313,plain,
~ v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_10312]) ).
tff(c_10536,plain,
! [A_1380,B_1381,C_1382] :
( m1_yellow_0(k2_yellow_2(A_1380,B_1381,C_1382),B_1381)
| ~ m1_relset_1(C_1382,u1_struct_0(A_1380),u1_struct_0(B_1381))
| ~ v1_funct_2(C_1382,u1_struct_0(A_1380),u1_struct_0(B_1381))
| ~ v1_funct_1(C_1382)
| ~ l1_orders_2(B_1381)
| v3_struct_0(B_1381)
| ~ l1_orders_2(A_1380)
| v3_struct_0(A_1380) ),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_10556,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_10536]) ).
tff(c_10568,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_10556]) ).
tff(c_10569,plain,
m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_4040,c_10568]) ).
tff(c_10763,plain,
! [A_1389,B_1390,C_1391] :
( v4_yellow_0(k2_yellow_2(A_1389,B_1390,C_1391),B_1390)
| ~ m1_relset_1(C_1391,u1_struct_0(A_1389),u1_struct_0(B_1390))
| ~ v1_funct_2(C_1391,u1_struct_0(A_1389),u1_struct_0(B_1390))
| ~ v1_funct_1(C_1391)
| ~ l1_orders_2(B_1390)
| v3_struct_0(B_1390)
| ~ l1_orders_2(A_1389)
| v3_struct_0(A_1389) ),
inference(cnfTransformation,[status(thm)],[f_1544]) ).
tff(c_10783,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_10763]) ).
tff(c_10795,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_10783]) ).
tff(c_10796,plain,
v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_4040,c_10795]) ).
tff(c_10799,plain,
( v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ l1_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10796,c_346]) ).
tff(c_10808,plain,
v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_14,c_10569,c_10799]) ).
tff(c_358,plain,
! [B_110,A_108] :
( v3_orders_2(B_110)
| ~ v4_yellow_0(B_110,A_108)
| ~ m1_yellow_0(B_110,A_108)
| ~ l1_orders_2(A_108)
| ~ v3_orders_2(A_108) ),
inference(cnfTransformation,[status(thm)],[f_889]) ).
tff(c_10802,plain,
( v3_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ l1_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10796,c_358]) ).
tff(c_10811,plain,
v3_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_14,c_10569,c_10802]) ).
tff(c_370,plain,
! [B_117,A_115] :
( v4_orders_2(B_117)
| ~ v4_yellow_0(B_117,A_115)
| ~ m1_yellow_0(B_117,A_115)
| ~ l1_orders_2(A_115)
| ~ v4_orders_2(A_115) ),
inference(cnfTransformation,[status(thm)],[f_929]) ).
tff(c_10805,plain,
( v4_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ l1_orders_2('#skF_1')
| ~ v4_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10796,c_370]) ).
tff(c_10814,plain,
v4_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_14,c_10569,c_10805]) ).
tff(c_78,plain,
! [A_19] :
( v3_lattice3(A_19)
| ~ v24_waybel_0(A_19)
| ~ v1_yellow_0(A_19)
| ~ v1_lattice3(A_19)
| ~ v4_orders_2(A_19)
| ~ v3_orders_2(A_19)
| ~ v2_orders_2(A_19)
| v3_struct_0(A_19)
| ~ l1_orders_2(A_19) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_10834,plain,
( v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v24_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v3_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_10814,c_78]) ).
tff(c_10859,plain,
( v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v24_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10310,c_10808,c_10811,c_10834]) ).
tff(c_10860,plain,
( ~ v24_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_9704,c_10313,c_10859]) ).
tff(c_10976,plain,
~ v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_10860]) ).
tff(c_7924,plain,
! [B_1205,A_1206] :
( ~ v1_xboole_0(B_1205)
| ~ v6_waybel_1(B_1205,A_1206)
| ~ v1_funct_2(B_1205,u1_struct_0(A_1206),u1_struct_0(A_1206))
| ~ v1_funct_1(B_1205)
| ~ m1_relset_1(B_1205,u1_struct_0(A_1206),u1_struct_0(A_1206))
| ~ l1_orders_2(A_1206)
| v3_struct_0(A_1206) ),
inference(cnfTransformation,[status(thm)],[f_374]) ).
tff(c_7957,plain,
( ~ v1_xboole_0('#skF_2')
| ~ v6_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_1('#skF_2')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_7924]) ).
tff(c_7969,plain,
( ~ v1_xboole_0('#skF_2')
| ~ v6_waybel_1('#skF_2','#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_2021,c_12,c_7957]) ).
tff(c_7970,plain,
( ~ v1_xboole_0('#skF_2')
| ~ v6_waybel_1('#skF_2','#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_4040,c_7969]) ).
tff(c_7971,plain,
~ v6_waybel_1('#skF_2','#skF_1'),
inference(splitLeft,[status(thm)],[c_7970]) ).
tff(c_8413,plain,
! [B_1232,A_1233] :
( v6_waybel_1(B_1232,A_1233)
| ~ v7_waybel_1(B_1232,A_1233)
| ~ v1_funct_2(B_1232,u1_struct_0(A_1233),u1_struct_0(A_1233))
| ~ v1_funct_1(B_1232)
| ~ m1_relset_1(B_1232,u1_struct_0(A_1233),u1_struct_0(A_1233))
| ~ l1_orders_2(A_1233)
| v3_struct_0(A_1233) ),
inference(cnfTransformation,[status(thm)],[f_703]) ).
tff(c_8446,plain,
( v6_waybel_1('#skF_2','#skF_1')
| ~ v7_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_1('#skF_2')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_8413]) ).
tff(c_8458,plain,
( v6_waybel_1('#skF_2','#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_2021,c_12,c_8,c_8446]) ).
tff(c_8460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4040,c_7971,c_8458]) ).
tff(c_8462,plain,
v6_waybel_1('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_7970]) ).
tff(c_15393,plain,
! [A_1708,B_1709] :
( v1_lattice3(k2_yellow_2(A_1708,A_1708,B_1709))
| ~ m1_relset_1(B_1709,u1_struct_0(A_1708),u1_struct_0(A_1708))
| ~ v6_waybel_1(B_1709,A_1708)
| ~ v1_funct_2(B_1709,u1_struct_0(A_1708),u1_struct_0(A_1708))
| ~ v1_funct_1(B_1709)
| ~ l1_orders_2(A_1708)
| ~ v3_lattice3(A_1708)
| ~ v2_lattice3(A_1708)
| ~ v1_lattice3(A_1708)
| ~ v4_orders_2(A_1708)
| ~ v3_orders_2(A_1708)
| ~ v2_orders_2(A_1708) ),
inference(cnfTransformation,[status(thm)],[f_1281]) ).
tff(c_15433,plain,
( v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v6_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| ~ v3_lattice3('#skF_1')
| ~ v2_lattice3('#skF_1')
| ~ v1_lattice3('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_15393]) ).
tff(c_15449,plain,
v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_24,c_22,c_20,c_18,c_14,c_12,c_8462,c_2021,c_15433]) ).
tff(c_15451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10976,c_15449]) ).
tff(c_15452,plain,
( ~ v1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v24_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_10860]) ).
tff(c_15454,plain,
~ v24_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_15452]) ).
tff(c_19800,plain,
! [A_2014,B_2015] :
( v24_waybel_0(k2_yellow_2(A_2014,A_2014,B_2015))
| ~ m1_relset_1(B_2015,u1_struct_0(A_2014),u1_struct_0(A_2014))
| ~ v6_waybel_1(B_2015,A_2014)
| ~ v1_funct_2(B_2015,u1_struct_0(A_2014),u1_struct_0(A_2014))
| ~ v1_funct_1(B_2015)
| ~ l1_orders_2(A_2014)
| ~ v3_lattice3(A_2014)
| ~ v2_lattice3(A_2014)
| ~ v1_lattice3(A_2014)
| ~ v4_orders_2(A_2014)
| ~ v3_orders_2(A_2014)
| ~ v2_orders_2(A_2014) ),
inference(cnfTransformation,[status(thm)],[f_1281]) ).
tff(c_19840,plain,
( v24_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v6_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| ~ v3_lattice3('#skF_1')
| ~ v2_lattice3('#skF_1')
| ~ v1_lattice3('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_19800]) ).
tff(c_19856,plain,
v24_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_24,c_22,c_20,c_18,c_14,c_12,c_8462,c_2021,c_19840]) ).
tff(c_19858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15454,c_19856]) ).
tff(c_19859,plain,
~ v1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_15452]) ).
tff(c_24023,plain,
! [A_2308,B_2309] :
( v3_yellow_0(k2_yellow_2(A_2308,A_2308,B_2309))
| ~ m1_relset_1(B_2309,u1_struct_0(A_2308),u1_struct_0(A_2308))
| ~ v6_waybel_1(B_2309,A_2308)
| ~ v1_funct_2(B_2309,u1_struct_0(A_2308),u1_struct_0(A_2308))
| ~ v1_funct_1(B_2309)
| ~ l1_orders_2(A_2308)
| ~ v3_lattice3(A_2308)
| ~ v2_lattice3(A_2308)
| ~ v1_lattice3(A_2308)
| ~ v4_orders_2(A_2308)
| ~ v3_orders_2(A_2308)
| ~ v2_orders_2(A_2308) ),
inference(cnfTransformation,[status(thm)],[f_1281]) ).
tff(c_24063,plain,
( v3_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v6_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| ~ v3_lattice3('#skF_1')
| ~ v2_lattice3('#skF_1')
| ~ v1_lattice3('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_24023]) ).
tff(c_24079,plain,
v3_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_24,c_22,c_20,c_18,c_14,c_12,c_8462,c_2021,c_24063]) ).
tff(c_318,plain,
! [A_94] :
( v1_yellow_0(A_94)
| ~ v3_yellow_0(A_94)
| ~ l1_orders_2(A_94) ),
inference(cnfTransformation,[status(thm)],[f_770]) ).
tff(c_24082,plain,
( v1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_24079,c_318]) ).
tff(c_24088,plain,
v1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_10310,c_24082]) ).
tff(c_24090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19859,c_24088]) ).
tff(c_24091,plain,
v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_10312]) ).
tff(c_24092,plain,
v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_10312]) ).
tff(c_3928,plain,
! [A_731] :
( v25_waybel_0(A_731)
| ~ v3_lattice3(A_731)
| ~ v2_orders_2(A_731)
| v3_struct_0(A_731)
| ~ l1_orders_2(A_731) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_162,plain,
! [A_43] :
( ~ v3_struct_0(A_43)
| ~ v1_lattice3(A_43)
| ~ l1_orders_2(A_43) ),
inference(cnfTransformation,[status(thm)],[f_339]) ).
tff(c_3962,plain,
! [A_731] :
( ~ v1_lattice3(A_731)
| v25_waybel_0(A_731)
| ~ v3_lattice3(A_731)
| ~ v2_orders_2(A_731)
| ~ l1_orders_2(A_731) ),
inference(resolution,[status(thm)],[c_3928,c_162]) ).
tff(c_24095,plain,
( ~ v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v25_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_24092,c_3962]) ).
tff(c_24125,plain,
( v25_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10310,c_24091,c_24095]) ).
tff(c_24158,plain,
~ v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_24125]) ).
tff(c_24511,plain,
! [A_2325,B_2326,C_2327] :
( m1_yellow_0(k2_yellow_2(A_2325,B_2326,C_2327),B_2326)
| ~ m1_relset_1(C_2327,u1_struct_0(A_2325),u1_struct_0(B_2326))
| ~ v1_funct_2(C_2327,u1_struct_0(A_2325),u1_struct_0(B_2326))
| ~ v1_funct_1(C_2327)
| ~ l1_orders_2(B_2326)
| v3_struct_0(B_2326)
| ~ l1_orders_2(A_2325)
| v3_struct_0(A_2325) ),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_24531,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_24511]) ).
tff(c_24543,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_24531]) ).
tff(c_24544,plain,
m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_4040,c_24543]) ).
tff(c_24662,plain,
! [A_2337,B_2338,C_2339] :
( v4_yellow_0(k2_yellow_2(A_2337,B_2338,C_2339),B_2338)
| ~ m1_relset_1(C_2339,u1_struct_0(A_2337),u1_struct_0(B_2338))
| ~ v1_funct_2(C_2339,u1_struct_0(A_2337),u1_struct_0(B_2338))
| ~ v1_funct_1(C_2339)
| ~ l1_orders_2(B_2338)
| v3_struct_0(B_2338)
| ~ l1_orders_2(A_2337)
| v3_struct_0(A_2337) ),
inference(cnfTransformation,[status(thm)],[f_1544]) ).
tff(c_24682,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_24662]) ).
tff(c_24694,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_24682]) ).
tff(c_24695,plain,
v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_4040,c_24694]) ).
tff(c_24698,plain,
( v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ l1_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_24695,c_346]) ).
tff(c_24707,plain,
v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_14,c_24544,c_24698]) ).
tff(c_24709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24158,c_24707]) ).
tff(c_24711,plain,
v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_24125]) ).
tff(c_25029,plain,
! [A_2352,B_2353,C_2354] :
( v4_yellow_0(k2_yellow_2(A_2352,B_2353,C_2354),B_2353)
| ~ m1_relset_1(C_2354,u1_struct_0(A_2352),u1_struct_0(B_2353))
| ~ v1_funct_2(C_2354,u1_struct_0(A_2352),u1_struct_0(B_2353))
| ~ v1_funct_1(C_2354)
| ~ l1_orders_2(B_2353)
| v3_struct_0(B_2353)
| ~ l1_orders_2(A_2352)
| v3_struct_0(A_2352) ),
inference(cnfTransformation,[status(thm)],[f_1544]) ).
tff(c_25049,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_25029]) ).
tff(c_25061,plain,
( v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_25049]) ).
tff(c_25062,plain,
v4_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_4040,c_25061]) ).
tff(c_25068,plain,
( v3_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ l1_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_25062,c_358]) ).
tff(c_25077,plain,
( v3_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_14,c_25068]) ).
tff(c_25081,plain,
~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_25077]) ).
tff(c_25244,plain,
! [A_2367,B_2368,C_2369] :
( m1_yellow_0(k2_yellow_2(A_2367,B_2368,C_2369),B_2368)
| ~ m1_relset_1(C_2369,u1_struct_0(A_2367),u1_struct_0(B_2368))
| ~ v1_funct_2(C_2369,u1_struct_0(A_2367),u1_struct_0(B_2368))
| ~ v1_funct_1(C_2369)
| ~ l1_orders_2(B_2368)
| v3_struct_0(B_2368)
| ~ l1_orders_2(A_2367)
| v3_struct_0(A_2367) ),
inference(cnfTransformation,[status(thm)],[f_1121]) ).
tff(c_25264,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_25244]) ).
tff(c_25276,plain,
( m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_2021,c_25264]) ).
tff(c_25278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4040,c_25081,c_25276]) ).
tff(c_25279,plain,
v3_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_25077]) ).
tff(c_25280,plain,
m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_25077]) ).
tff(c_25071,plain,
( v4_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ l1_orders_2('#skF_1')
| ~ v4_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_25062,c_370]) ).
tff(c_25080,plain,
( v4_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m1_yellow_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_14,c_25071]) ).
tff(c_25288,plain,
v4_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_25280,c_25080]) ).
tff(c_2143,plain,
! [A_478] :
( v2_lattice3(A_478)
| ~ v3_lattice3(A_478)
| v3_struct_0(A_478)
| ~ l1_orders_2(A_478) ),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_2173,plain,
! [A_478] :
( ~ v1_lattice3(A_478)
| v2_lattice3(A_478)
| ~ v3_lattice3(A_478)
| ~ l1_orders_2(A_478) ),
inference(resolution,[status(thm)],[c_2143,c_162]) ).
tff(c_24122,plain,
( ~ v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v2_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_24092,c_2173]) ).
tff(c_24152,plain,
v2_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_10310,c_24091,c_24122]) ).
tff(c_4,plain,
v1_waybel34(k2_waybel_1('#skF_1','#skF_1','#skF_2'),'#skF_1',k2_yellow_2('#skF_1','#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_47716,plain,
! [A_3052,B_3053] :
( ( k1_waybel34(k2_yellow_2(A_3052,A_3052,B_3053),A_3052,k3_waybel_1(A_3052,A_3052,B_3053)) = k2_waybel_1(A_3052,A_3052,B_3053) )
| ~ m2_relset_1(B_3053,u1_struct_0(A_3052),u1_struct_0(A_3052))
| ~ v7_waybel_1(B_3053,A_3052)
| ~ v1_funct_2(B_3053,u1_struct_0(A_3052),u1_struct_0(A_3052))
| ~ v1_funct_1(B_3053)
| ~ l1_orders_2(A_3052)
| ~ v3_lattice3(A_3052)
| ~ v2_lattice3(A_3052)
| ~ v1_lattice3(A_3052)
| ~ v4_orders_2(A_3052)
| ~ v3_orders_2(A_3052)
| ~ v2_orders_2(A_3052) ),
inference(cnfTransformation,[status(thm)],[f_2500]) ).
tff(c_47783,plain,
( ( k1_waybel34(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2')) = k2_waybel_1('#skF_1','#skF_1','#skF_2') )
| ~ m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v7_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| ~ v3_lattice3('#skF_1')
| ~ v2_lattice3('#skF_1')
| ~ v1_lattice3('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_47716]) ).
tff(c_47833,plain,
k1_waybel34(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2')) = k2_waybel_1('#skF_1','#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_24,c_22,c_20,c_18,c_14,c_12,c_8,c_6,c_47783]) ).
tff(c_57519,plain,
! [C_3538,A_3539,B_3540] :
( v22_waybel_0(C_3538,A_3539,B_3540)
| ~ v1_waybel34(k1_waybel34(A_3539,B_3540,C_3538),B_3540,A_3539)
| ~ m2_relset_1(C_3538,u1_struct_0(A_3539),u1_struct_0(B_3540))
| ~ v17_waybel_0(C_3538,A_3539,B_3540)
| ~ v1_funct_2(C_3538,u1_struct_0(A_3539),u1_struct_0(B_3540))
| ~ v1_funct_1(C_3538)
| ~ l1_orders_2(B_3540)
| ~ v3_waybel_3(B_3540)
| ~ v3_lattice3(B_3540)
| ~ v2_lattice3(B_3540)
| ~ v1_lattice3(B_3540)
| ~ v4_orders_2(B_3540)
| ~ v3_orders_2(B_3540)
| ~ v2_orders_2(B_3540)
| ~ l1_orders_2(A_3539)
| ~ v3_lattice3(A_3539)
| ~ v2_lattice3(A_3539)
| ~ v1_lattice3(A_3539)
| ~ v4_orders_2(A_3539)
| ~ v3_orders_2(A_3539)
| ~ v2_orders_2(A_3539) ),
inference(cnfTransformation,[status(thm)],[f_2463]) ).
tff(c_57521,plain,
( v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v1_waybel34(k2_waybel_1('#skF_1','#skF_1','#skF_2'),'#skF_1',k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| ~ v17_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v1_funct_2(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2('#skF_1')
| ~ v3_waybel_3('#skF_1')
| ~ v3_lattice3('#skF_1')
| ~ v2_lattice3('#skF_1')
| ~ v1_lattice3('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1')
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v3_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v2_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v1_lattice3(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v4_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v3_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_47833,c_57519]) ).
tff(c_57523,plain,
( v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| ~ v1_funct_2(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_24711,c_25279,c_25288,c_24091,c_24152,c_24092,c_10310,c_28,c_26,c_24,c_22,c_20,c_18,c_16,c_14,c_9357,c_39367,c_4,c_57521]) ).
tff(c_87798,plain,
~ v1_funct_2(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_57523]) ).
tff(c_87801,plain,
( ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_760,c_87798]) ).
tff(c_87804,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_2021,c_87801]) ).
tff(c_87806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4040,c_87804]) ).
tff(c_87808,plain,
v1_funct_2(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_57523]) ).
tff(c_336,plain,
! [C_100,A_97,B_98] :
( v21_waybel_0(C_100,A_97,B_98)
| ~ v17_waybel_0(C_100,A_97,B_98)
| ~ v1_funct_2(C_100,u1_struct_0(A_97),u1_struct_0(B_98))
| ~ v1_funct_1(C_100)
| ~ m1_relset_1(C_100,u1_struct_0(A_97),u1_struct_0(B_98))
| ~ l1_orders_2(B_98)
| v3_struct_0(B_98)
| ~ l1_orders_2(A_97)
| v3_struct_0(A_97) ),
inference(cnfTransformation,[status(thm)],[f_836]) ).
tff(c_87928,plain,
( v21_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v17_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v1_funct_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'))
| ~ m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1')
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_87808,c_336]) ).
tff(c_88118,plain,
( v21_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1')
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10310,c_14,c_9357,c_39367,c_87928]) ).
tff(c_88119,plain,
( v21_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_9704,c_4040,c_88118]) ).
tff(c_88593,plain,
~ m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_88119]) ).
tff(c_420,plain,
! [A_150,B_151,C_152] :
( m2_relset_1(k3_waybel_1(A_150,B_151,C_152),u1_struct_0(k2_yellow_2(A_150,B_151,C_152)),u1_struct_0(B_151))
| ~ m1_relset_1(C_152,u1_struct_0(A_150),u1_struct_0(B_151))
| ~ v1_funct_2(C_152,u1_struct_0(A_150),u1_struct_0(B_151))
| ~ v1_funct_1(C_152)
| ~ l1_orders_2(B_151)
| v3_struct_0(B_151)
| ~ l1_orders_2(A_150)
| v3_struct_0(A_150) ),
inference(cnfTransformation,[status(thm)],[f_1143]) ).
tff(c_384,plain,
! [A_129,B_133,C_135] :
( ( k7_grcat_1(k2_yellow_2(A_129,B_133,C_135)) = k3_waybel_1(A_129,B_133,C_135) )
| ~ m2_relset_1(C_135,u1_struct_0(A_129),u1_struct_0(B_133))
| ~ v1_funct_2(C_135,u1_struct_0(A_129),u1_struct_0(B_133))
| ~ v1_funct_1(C_135)
| ~ l1_orders_2(B_133)
| v3_struct_0(B_133)
| ~ l1_orders_2(A_129)
| v3_struct_0(A_129) ),
inference(cnfTransformation,[status(thm)],[f_998]) ).
tff(c_87925,plain,
( ( k7_grcat_1(k2_yellow_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2'))) = k3_waybel_1(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2')) )
| ~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| ~ v1_funct_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'))
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1')
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_87808,c_384]) ).
tff(c_88114,plain,
( ( k7_grcat_1(k2_yellow_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2'))) = k3_waybel_1(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2')) )
| ~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1')
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10310,c_14,c_9357,c_87925]) ).
tff(c_88115,plain,
( ( k7_grcat_1(k2_yellow_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2'))) = k3_waybel_1(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1',k3_waybel_1('#skF_1','#skF_1','#skF_2')) )
| ~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_9704,c_4040,c_88114]) ).
tff(c_108803,plain,
~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_88115]) ).
tff(c_108806,plain,
( ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_420,c_108803]) ).
tff(c_108812,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_2021,c_108806]) ).
tff(c_108814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4040,c_108812]) ).
tff(c_108816,plain,
m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_88115]) ).
tff(c_1176,plain,
! [C_259,A_257,B_258] :
( m1_relset_1(C_259,A_257,B_258)
| ~ m2_relset_1(C_259,A_257,B_258) ),
inference(cnfTransformation,[status(thm)],[f_2413]) ).
tff(c_108837,plain,
m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(resolution,[status(thm)],[c_108816,c_1176]) ).
tff(c_108852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88593,c_108837]) ).
tff(c_108854,plain,
m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_88119]) ).
tff(c_182,plain,
! [C_54,A_51,B_52] :
( v5_orders_3(C_54,A_51,B_52)
| ~ v22_waybel_0(C_54,A_51,B_52)
| ~ v1_funct_2(C_54,u1_struct_0(A_51),u1_struct_0(B_52))
| ~ v1_funct_1(C_54)
| ~ m1_relset_1(C_54,u1_struct_0(A_51),u1_struct_0(B_52))
| ~ l1_orders_2(B_52)
| ~ v4_orders_2(B_52)
| ~ v2_orders_2(B_52)
| v3_struct_0(B_52)
| ~ l1_orders_2(A_51)
| ~ v4_orders_2(A_51)
| ~ v2_orders_2(A_51)
| v3_struct_0(A_51) ),
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_87917,plain,
( v5_orders_3(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v1_funct_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'))
| ~ m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| ~ l1_orders_2('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1')
| v3_struct_0('#skF_1')
| ~ l1_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v4_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| ~ v2_orders_2(k2_yellow_2('#skF_1','#skF_1','#skF_2'))
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_87808,c_182]) ).
tff(c_88102,plain,
( v5_orders_3(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1')
| v3_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_24711,c_25288,c_10310,c_28,c_24,c_14,c_9357,c_87917]) ).
tff(c_88103,plain,
( v5_orders_3(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m1_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_9704,c_4040,c_88102]) ).
tff(c_128184,plain,
( v5_orders_3(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_108854,c_88103]) ).
tff(c_128185,plain,
~ v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_128184]) ).
tff(c_130951,plain,
~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_88115]) ).
tff(c_130954,plain,
( ~ m1_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_420,c_130951]) ).
tff(c_130960,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_10,c_2021,c_130954]) ).
tff(c_130962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4040,c_130960]) ).
tff(c_130964,plain,
m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1')),
inference(splitRight,[status(thm)],[c_88115]) ).
tff(c_87807,plain,
( ~ m2_relset_1(k3_waybel_1('#skF_1','#skF_1','#skF_2'),u1_struct_0(k2_yellow_2('#skF_1','#skF_1','#skF_2')),u1_struct_0('#skF_1'))
| v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_57523]) ).
tff(c_362633,plain,
v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_130964,c_87807]) ).
tff(c_362634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128185,c_362633]) ).
tff(c_362636,plain,
v22_waybel_0(k3_waybel_1('#skF_1','#skF_1','#skF_2'),k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_128184]) ).
tff(c_1200,plain,
! [A_278,B_280] :
( v4_waybel_0(k2_yellow_2(A_278,A_278,B_280),A_278)
| ~ v22_waybel_0(k3_waybel_1(A_278,A_278,B_280),k2_yellow_2(A_278,A_278,B_280),A_278)
| ~ m2_relset_1(B_280,u1_struct_0(A_278),u1_struct_0(A_278))
| ~ v7_waybel_1(B_280,A_278)
| ~ v1_funct_2(B_280,u1_struct_0(A_278),u1_struct_0(A_278))
| ~ v1_funct_1(B_280)
| ~ l1_orders_2(A_278)
| ~ v3_lattice3(A_278)
| ~ v2_lattice3(A_278)
| ~ v1_lattice3(A_278)
| ~ v4_orders_2(A_278)
| ~ v3_orders_2(A_278)
| ~ v2_orders_2(A_278) ),
inference(cnfTransformation,[status(thm)],[f_2531]) ).
tff(c_362639,plain,
( v4_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1')
| ~ m2_relset_1('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v7_waybel_1('#skF_2','#skF_1')
| ~ v1_funct_2('#skF_2',u1_struct_0('#skF_1'),u1_struct_0('#skF_1'))
| ~ v1_funct_1('#skF_2')
| ~ l1_orders_2('#skF_1')
| ~ v3_lattice3('#skF_1')
| ~ v2_lattice3('#skF_1')
| ~ v1_lattice3('#skF_1')
| ~ v4_orders_2('#skF_1')
| ~ v3_orders_2('#skF_1')
| ~ v2_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_362636,c_1200]) ).
tff(c_362642,plain,
v4_waybel_0(k2_yellow_2('#skF_1','#skF_1','#skF_2'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_24,c_22,c_20,c_18,c_14,c_12,c_10,c_8,c_6,c_362639]) ).
tff(c_362644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_362642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT370+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 12:17:59 EDT 2023
% 0.20/0.34 % CPUTime :
% 267.74/229.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 267.92/229.17
% 267.92/229.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 268.19/229.23
% 268.19/229.23 Inference rules
% 268.19/229.23 ----------------------
% 268.19/229.23 #Ref : 14
% 268.19/229.23 #Sup : 90195
% 268.19/229.23 #Fact : 1
% 268.19/229.23 #Define : 0
% 268.19/229.23 #Split : 452
% 268.19/229.23 #Chain : 0
% 268.19/229.23 #Close : 0
% 268.19/229.23
% 268.19/229.23 Ordering : KBO
% 268.19/229.23
% 268.19/229.23 Simplification rules
% 268.19/229.23 ----------------------
% 268.19/229.23 #Subsume : 71425
% 268.19/229.23 #Demod : 51490
% 268.19/229.23 #Tautology : 6002
% 268.19/229.23 #SimpNegUnit : 31711
% 268.19/229.23 #BackRed : 26913
% 268.19/229.23
% 268.19/229.23 #Partial instantiations: 0
% 268.19/229.23 #Strategies tried : 1
% 268.19/229.23
% 268.19/229.23 Timing (in seconds)
% 268.19/229.23 ----------------------
% 268.19/229.23 Preprocessing : 1.25
% 268.19/229.23 Parsing : 0.69
% 268.19/229.23 CNF conversion : 0.11
% 268.19/229.23 Main loop : 226.89
% 268.19/229.23 Inferencing : 28.89
% 268.19/229.23 Reduction : 118.26
% 268.19/229.23 Demodulation : 101.89
% 268.19/229.23 BG Simplification : 0.47
% 268.19/229.23 Subsumption : 69.46
% 268.19/229.23 Abstraction : 1.04
% 268.19/229.23 MUC search : 0.00
% 268.19/229.23 Cooper : 0.00
% 268.19/229.23 Total : 228.24
% 268.19/229.23 Index Insertion : 0.00
% 268.19/229.23 Index Deletion : 0.00
% 268.19/229.23 Index Matching : 0.00
% 268.19/229.23 BG Taut test : 0.00
%------------------------------------------------------------------------------