TSTP Solution File: LAT363+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT363+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 : n019.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 10:47:00 EDT 2023
% Result : Theorem 110.83s 91.59s
% Output : CNFRefutation 111.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 94
% Syntax : Number of formulae : 272 ( 79 unt; 79 typ; 0 def)
% Number of atoms : 652 ( 57 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 837 ( 378 ~; 381 |; 46 &)
% ( 5 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 104 ( 65 >; 39 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 14 con; 0-4 aty)
% Number of variables : 172 (; 172 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v2_waybel34 > v1_t_0topsp > v1_funct_2 > m2_relset_1 > m1_relset_1 > v4_pre_topc > v3_tops_1 > v3_pre_topc > v2_tops_1 > r2_hidden > r1_tarski > m1_subset_1 > m1_pre_topc > v5_membered > v4_ordinal2 > v4_membered > v3_struct_0 > v3_membered > v2_pre_topc > v2_membered > v2_funct_1 > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_relat_1 > v1_rat_1 > v1_pre_topc > v1_membered > v1_int_1 > v1_funct_1 > v1_finset_1 > l1_struct_0 > l1_pre_topc > k4_pre_topc > k8_yellow_2 > k8_waybel18 > k7_waybel18 > k1_yellow_2 > k9_relat_1 > k3_pre_topc > k2_zfmisc_1 > g1_pre_topc > #nlpp > u1_struct_0 > u1_pre_topc > k2_relat_1 > k1_zfmisc_1 > k1_xboole_0 > #skF_25 > #skF_11 > #skF_16 > #skF_18 > #skF_17 > #skF_24 > #skF_15 > #skF_19 > #skF_31 > #skF_22 > #skF_8 > #skF_4 > #skF_7 > #skF_29 > #skF_32 > #skF_14 > #skF_28 > #skF_10 > #skF_6 > #skF_13 > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_26 > #skF_23 > #skF_27 > #skF_9 > #skF_30 > #skF_12 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(u1_pre_topc,type,
u1_pre_topc: $i > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v3_pre_topc,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(g1_pre_topc,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_19',type,
'#skF_19': $i > $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('#skF_22',type,
'#skF_22': $i > $i ).
tff(v2_tops_1,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(k7_waybel18,type,
k7_waybel18: ( $i * $i * $i ) > $i ).
tff(l1_pre_topc,type,
l1_pre_topc: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(v3_tops_1,type,
v3_tops_1: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(v2_waybel34,type,
v2_waybel34: ( $i * $i * $i ) > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(k2_relat_1,type,
k2_relat_1: $i > $i ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
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('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(k9_relat_1,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v1_pre_topc,type,
v1_pre_topc: $i > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(k8_yellow_2,type,
k8_yellow_2: ( $i * $i * $i ) > $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v4_pre_topc,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff(v1_t_0topsp,type,
v1_t_0topsp: ( $i * $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('#skF_23',type,
'#skF_23': $i ).
tff(m1_pre_topc,type,
m1_pre_topc: ( $i * $i ) > $o ).
tff(v2_pre_topc,type,
v2_pre_topc: $i > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(k1_yellow_2,type,
k1_yellow_2: ( $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(k3_pre_topc,type,
k3_pre_topc: ( $i * $i ) > $i ).
tff(k8_waybel18,type,
k8_waybel18: ( $i * $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
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('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(k4_pre_topc,type,
k4_pre_topc: ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_56,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_pre_topc(B)
& l1_pre_topc(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)) )
=> ( v2_waybel34(C,A,B)
<=> v1_t_0topsp(k8_waybel18(A,B,C),A,k7_waybel18(A,B,C)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_waybel34) ).
tff(f_501,axiom,
! [A] :
( l1_pre_topc(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
tff(f_885,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_881,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(B)
& l1_struct_0(B)
& v1_funct_1(C)
& v1_funct_2(C,A,u1_struct_0(B))
& m1_relset_1(C,A,u1_struct_0(B)) )
=> ( k8_yellow_2(A,B,C) = k2_relat_1(C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_yellow_2) ).
tff(f_856,axiom,
! [A,B,C] :
( ( l1_struct_0(A)
& l1_struct_0(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)) )
=> ( k1_yellow_2(A,B,C) = k2_relat_1(C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_yellow_2) ).
tff(f_387,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_pre_topc(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)) )
=> ( k8_waybel18(A,B,C) = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_waybel18) ).
tff(f_465,axiom,
! [A,B,C] :
( ( l1_struct_0(A)
& l1_pre_topc(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)) )
=> m1_pre_topc(k7_waybel18(A,B,C),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_waybel18) ).
tff(f_508,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_pre_topc(B,A)
=> l1_pre_topc(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pre_topc) ).
tff(f_484,axiom,
! [A,B,C] :
( ( l1_struct_0(A)
& ~ v3_struct_0(B)
& l1_pre_topc(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(k8_waybel18(A,B,C))
& v1_funct_2(k8_waybel18(A,B,C),u1_struct_0(A),u1_struct_0(k7_waybel18(A,B,C)))
& m2_relset_1(k8_waybel18(A,B,C),u1_struct_0(A),u1_struct_0(k7_waybel18(A,B,C))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel18) ).
tff(f_868,axiom,
! [A,B,C,D] :
( ( l1_struct_0(A)
& l1_struct_0(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)) )
=> ( k4_pre_topc(A,B,C,D) = k9_relat_1(C,D) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
tff(f_453,axiom,
! [A,B,C,D] :
( ( l1_struct_0(A)
& l1_struct_0(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)) )
=> m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
tff(f_414,axiom,
! [A] :
( ( v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( ( v2_pre_topc(B)
& l1_pre_topc(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)) )
=> ( v2_waybel34(C,A,B)
<=> ! [D] :
( ( v3_pre_topc(D,A)
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
=> ( v3_pre_topc(k4_pre_topc(A,B,C,D),k3_pre_topc(B,k1_yellow_2(A,B,C)))
& m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(k3_pre_topc(B,k1_yellow_2(A,B,C))))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_waybel34) ).
tff(f_901,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
tff(f_356,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( l1_pre_topc(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)) )
=> ( v1_t_0topsp(C,A,B)
<=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> ( v3_pre_topc(D,A)
=> v3_pre_topc(k4_pre_topc(A,B,C,D),B) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_t_0topsp) ).
tff(f_370,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( l1_pre_topc(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)) )
=> ( k7_waybel18(A,B,C) = k3_pre_topc(B,k1_yellow_2(A,B,C)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_waybel18) ).
tff(c_12,plain,
~ v3_struct_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_14,plain,
l1_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_214,plain,
! [A_151] :
( l1_struct_0(A_151)
| ~ l1_pre_topc(A_151) ),
inference(cnfTransformation,[status(thm)],[f_501]) ).
tff(c_8,plain,
l1_pre_topc('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_6,plain,
v1_funct_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_2,plain,
m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_147409,plain,
! [C_4249,A_4250,B_4251] :
( m1_relset_1(C_4249,A_4250,B_4251)
| ~ m2_relset_1(C_4249,A_4250,B_4251) ),
inference(cnfTransformation,[status(thm)],[f_885]) ).
tff(c_147421,plain,
m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(resolution,[status(thm)],[c_2,c_147409]) ).
tff(c_4,plain,
v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_155906,plain,
! [A_4497,B_4498,C_4499] :
( ( k8_yellow_2(A_4497,B_4498,C_4499) = k2_relat_1(C_4499) )
| ~ m1_relset_1(C_4499,A_4497,u1_struct_0(B_4498))
| ~ v1_funct_2(C_4499,A_4497,u1_struct_0(B_4498))
| ~ v1_funct_1(C_4499)
| ~ l1_struct_0(B_4498)
| v3_struct_0(B_4498) ),
inference(cnfTransformation,[status(thm)],[f_881]) ).
tff(c_155909,plain,
( ( k8_yellow_2(u1_struct_0('#skF_1'),'#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_4,c_155906]) ).
tff(c_155912,plain,
( ( k8_yellow_2(u1_struct_0('#skF_1'),'#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_147421,c_155909]) ).
tff(c_155913,plain,
( ( k8_yellow_2(u1_struct_0('#skF_1'),'#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_12,c_155912]) ).
tff(c_155914,plain,
~ l1_struct_0('#skF_2'),
inference(splitLeft,[status(thm)],[c_155913]) ).
tff(c_155917,plain,
~ l1_pre_topc('#skF_2'),
inference(resolution,[status(thm)],[c_214,c_155914]) ).
tff(c_155921,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_155917]) ).
tff(c_155923,plain,
l1_struct_0('#skF_2'),
inference(splitRight,[status(thm)],[c_155913]) ).
tff(c_155928,plain,
! [A_4500,B_4501,C_4502] :
( ( k1_yellow_2(A_4500,B_4501,C_4502) = k2_relat_1(C_4502) )
| ~ m1_relset_1(C_4502,u1_struct_0(A_4500),u1_struct_0(B_4501))
| ~ v1_funct_2(C_4502,u1_struct_0(A_4500),u1_struct_0(B_4501))
| ~ v1_funct_1(C_4502)
| ~ l1_struct_0(B_4501)
| ~ l1_struct_0(A_4500) ),
inference(cnfTransformation,[status(thm)],[f_856]) ).
tff(c_155931,plain,
( ( k1_yellow_2('#skF_1','#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_155928]) ).
tff(c_155934,plain,
( ( k1_yellow_2('#skF_1','#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_155923,c_6,c_147421,c_155931]) ).
tff(c_155935,plain,
~ l1_struct_0('#skF_1'),
inference(splitLeft,[status(thm)],[c_155934]) ).
tff(c_155938,plain,
~ l1_pre_topc('#skF_1'),
inference(resolution,[status(thm)],[c_214,c_155935]) ).
tff(c_155942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_155938]) ).
tff(c_155944,plain,
l1_struct_0('#skF_1'),
inference(splitRight,[status(thm)],[c_155934]) ).
tff(c_156954,plain,
! [A_4518,B_4519,C_4520] :
( ( k8_waybel18(A_4518,B_4519,C_4520) = C_4520 )
| ~ m2_relset_1(C_4520,u1_struct_0(A_4518),u1_struct_0(B_4519))
| ~ v1_funct_2(C_4520,u1_struct_0(A_4518),u1_struct_0(B_4519))
| ~ v1_funct_1(C_4520)
| ~ l1_pre_topc(B_4519)
| v3_struct_0(B_4519)
| ~ l1_struct_0(A_4518) ),
inference(cnfTransformation,[status(thm)],[f_387]) ).
tff(c_156957,plain,
( ( k8_waybel18('#skF_1','#skF_2','#skF_3') = '#skF_3' )
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_156954]) ).
tff(c_156960,plain,
( ( k8_waybel18('#skF_1','#skF_2','#skF_3') = '#skF_3' )
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_8,c_6,c_2,c_156957]) ).
tff(c_156961,plain,
k8_waybel18('#skF_1','#skF_2','#skF_3') = '#skF_3',
inference(negUnitSimplification,[status(thm)],[c_12,c_156960]) ).
tff(c_2451,plain,
! [C_489,A_490,B_491] :
( m1_relset_1(C_489,A_490,B_491)
| ~ m2_relset_1(C_489,A_490,B_491) ),
inference(cnfTransformation,[status(thm)],[f_885]) ).
tff(c_2463,plain,
m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(resolution,[status(thm)],[c_2,c_2451]) ).
tff(c_10861,plain,
! [A_731,B_732,C_733] :
( ( k8_yellow_2(A_731,B_732,C_733) = k2_relat_1(C_733) )
| ~ m1_relset_1(C_733,A_731,u1_struct_0(B_732))
| ~ v1_funct_2(C_733,A_731,u1_struct_0(B_732))
| ~ v1_funct_1(C_733)
| ~ l1_struct_0(B_732)
| v3_struct_0(B_732) ),
inference(cnfTransformation,[status(thm)],[f_881]) ).
tff(c_10864,plain,
( ( k8_yellow_2(u1_struct_0('#skF_1'),'#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_4,c_10861]) ).
tff(c_10867,plain,
( ( k8_yellow_2(u1_struct_0('#skF_1'),'#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2463,c_10864]) ).
tff(c_10868,plain,
( ( k8_yellow_2(u1_struct_0('#skF_1'),'#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0('#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_12,c_10867]) ).
tff(c_10869,plain,
~ l1_struct_0('#skF_2'),
inference(splitLeft,[status(thm)],[c_10868]) ).
tff(c_10872,plain,
~ l1_pre_topc('#skF_2'),
inference(resolution,[status(thm)],[c_214,c_10869]) ).
tff(c_10876,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_10872]) ).
tff(c_10878,plain,
l1_struct_0('#skF_2'),
inference(splitRight,[status(thm)],[c_10868]) ).
tff(c_10883,plain,
! [A_734,B_735,C_736] :
( ( k1_yellow_2(A_734,B_735,C_736) = k2_relat_1(C_736) )
| ~ m1_relset_1(C_736,u1_struct_0(A_734),u1_struct_0(B_735))
| ~ v1_funct_2(C_736,u1_struct_0(A_734),u1_struct_0(B_735))
| ~ v1_funct_1(C_736)
| ~ l1_struct_0(B_735)
| ~ l1_struct_0(A_734) ),
inference(cnfTransformation,[status(thm)],[f_856]) ).
tff(c_10886,plain,
( ( k1_yellow_2('#skF_1','#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_10883]) ).
tff(c_10889,plain,
( ( k1_yellow_2('#skF_1','#skF_2','#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10878,c_6,c_2463,c_10886]) ).
tff(c_10890,plain,
~ l1_struct_0('#skF_1'),
inference(splitLeft,[status(thm)],[c_10889]) ).
tff(c_10893,plain,
~ l1_pre_topc('#skF_1'),
inference(resolution,[status(thm)],[c_214,c_10890]) ).
tff(c_10897,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_10893]) ).
tff(c_10899,plain,
l1_struct_0('#skF_1'),
inference(splitRight,[status(thm)],[c_10889]) ).
tff(c_11598,plain,
! [A_748,B_749,C_750] :
( m1_pre_topc(k7_waybel18(A_748,B_749,C_750),B_749)
| ~ m1_relset_1(C_750,u1_struct_0(A_748),u1_struct_0(B_749))
| ~ v1_funct_2(C_750,u1_struct_0(A_748),u1_struct_0(B_749))
| ~ v1_funct_1(C_750)
| ~ l1_pre_topc(B_749)
| ~ l1_struct_0(A_748) ),
inference(cnfTransformation,[status(thm)],[f_465]) ).
tff(c_11600,plain,
( m1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_11598]) ).
tff(c_11603,plain,
m1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_8,c_6,c_2463,c_11600]) ).
tff(c_218,plain,
! [B_154,A_152] :
( l1_pre_topc(B_154)
| ~ m1_pre_topc(B_154,A_152)
| ~ l1_pre_topc(A_152) ),
inference(cnfTransformation,[status(thm)],[f_508]) ).
tff(c_11609,plain,
( l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_pre_topc('#skF_2') ),
inference(resolution,[status(thm)],[c_11603,c_218]) ).
tff(c_11615,plain,
l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_11609]) ).
tff(c_12428,plain,
! [A_754,B_755,C_756] :
( ( k8_waybel18(A_754,B_755,C_756) = C_756 )
| ~ m2_relset_1(C_756,u1_struct_0(A_754),u1_struct_0(B_755))
| ~ v1_funct_2(C_756,u1_struct_0(A_754),u1_struct_0(B_755))
| ~ v1_funct_1(C_756)
| ~ l1_pre_topc(B_755)
| v3_struct_0(B_755)
| ~ l1_struct_0(A_754) ),
inference(cnfTransformation,[status(thm)],[f_387]) ).
tff(c_12431,plain,
( ( k8_waybel18('#skF_1','#skF_2','#skF_3') = '#skF_3' )
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_12428]) ).
tff(c_12434,plain,
( ( k8_waybel18('#skF_1','#skF_2','#skF_3') = '#skF_3' )
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_8,c_6,c_2,c_12431]) ).
tff(c_12435,plain,
k8_waybel18('#skF_1','#skF_2','#skF_3') = '#skF_3',
inference(negUnitSimplification,[status(thm)],[c_12,c_12434]) ).
tff(c_14183,plain,
! [A_796,B_797,C_798] :
( m2_relset_1(k8_waybel18(A_796,B_797,C_798),u1_struct_0(A_796),u1_struct_0(k7_waybel18(A_796,B_797,C_798)))
| ~ m1_relset_1(C_798,u1_struct_0(A_796),u1_struct_0(B_797))
| ~ v1_funct_2(C_798,u1_struct_0(A_796),u1_struct_0(B_797))
| ~ v1_funct_1(C_798)
| ~ l1_pre_topc(B_797)
| v3_struct_0(B_797)
| ~ l1_struct_0(A_796) ),
inference(cnfTransformation,[status(thm)],[f_484]) ).
tff(c_14192,plain,
( m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12435,c_14183]) ).
tff(c_14196,plain,
( m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_8,c_6,c_4,c_2463,c_14192]) ).
tff(c_14197,plain,
m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))),
inference(negUnitSimplification,[status(thm)],[c_12,c_14196]) ).
tff(c_426,plain,
! [C_226,A_224,B_225] :
( m1_relset_1(C_226,A_224,B_225)
| ~ m2_relset_1(C_226,A_224,B_225) ),
inference(cnfTransformation,[status(thm)],[f_885]) ).
tff(c_14206,plain,
m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))),
inference(resolution,[status(thm)],[c_14197,c_426]) ).
tff(c_14217,plain,
! [A_799,B_800,C_801] :
( v1_funct_2(k8_waybel18(A_799,B_800,C_801),u1_struct_0(A_799),u1_struct_0(k7_waybel18(A_799,B_800,C_801)))
| ~ m1_relset_1(C_801,u1_struct_0(A_799),u1_struct_0(B_800))
| ~ v1_funct_2(C_801,u1_struct_0(A_799),u1_struct_0(B_800))
| ~ v1_funct_1(C_801)
| ~ l1_pre_topc(B_800)
| v3_struct_0(B_800)
| ~ l1_struct_0(A_799) ),
inference(cnfTransformation,[status(thm)],[f_484]) ).
tff(c_14242,plain,
( v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_12435,c_14217]) ).
tff(c_14253,plain,
( v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_8,c_6,c_4,c_2463,c_14242]) ).
tff(c_14254,plain,
v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))),
inference(negUnitSimplification,[status(thm)],[c_12,c_14253]) ).
tff(c_420,plain,
! [A_214,B_215,C_216] :
( ( k1_yellow_2(A_214,B_215,C_216) = k2_relat_1(C_216) )
| ~ m1_relset_1(C_216,u1_struct_0(A_214),u1_struct_0(B_215))
| ~ v1_funct_2(C_216,u1_struct_0(A_214),u1_struct_0(B_215))
| ~ v1_funct_1(C_216)
| ~ l1_struct_0(B_215)
| ~ l1_struct_0(A_214) ),
inference(cnfTransformation,[status(thm)],[f_856]) ).
tff(c_14274,plain,
( ( k1_yellow_2('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_14254,c_420]) ).
tff(c_14303,plain,
( ( k1_yellow_2('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_6,c_14274]) ).
tff(c_138340,plain,
( ( k1_yellow_2('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14206,c_14303]) ).
tff(c_138341,plain,
~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_138340]) ).
tff(c_138344,plain,
~ l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_214,c_138341]) ).
tff(c_138348,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11615,c_138344]) ).
tff(c_138350,plain,
l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_138340]) ).
tff(c_422,plain,
! [A_217,B_218,C_219,D_220] :
( ( k4_pre_topc(A_217,B_218,C_219,D_220) = k9_relat_1(C_219,D_220) )
| ~ m1_relset_1(C_219,u1_struct_0(A_217),u1_struct_0(B_218))
| ~ v1_funct_2(C_219,u1_struct_0(A_217),u1_struct_0(B_218))
| ~ v1_funct_1(C_219)
| ~ l1_struct_0(B_218)
| ~ l1_struct_0(A_217) ),
inference(cnfTransformation,[status(thm)],[f_868]) ).
tff(c_14263,plain,
! [D_220] :
( ( k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',D_220) = k9_relat_1('#skF_3',D_220) )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_14254,c_422]) ).
tff(c_14289,plain,
! [D_220] :
( ( k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',D_220) = k9_relat_1('#skF_3',D_220) )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_6,c_14263]) ).
tff(c_138354,plain,
! [D_3767] : ( k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',D_3767) = k9_relat_1('#skF_3',D_3767) ),
inference(demodulation,[status(thm),theory(equality)],[c_138350,c_14206,c_14289]) ).
tff(c_200,plain,
! [A_138,B_139,C_140,D_141] :
( m1_subset_1(k4_pre_topc(A_138,B_139,C_140,D_141),k1_zfmisc_1(u1_struct_0(B_139)))
| ~ m1_relset_1(C_140,u1_struct_0(A_138),u1_struct_0(B_139))
| ~ v1_funct_2(C_140,u1_struct_0(A_138),u1_struct_0(B_139))
| ~ v1_funct_1(C_140)
| ~ l1_struct_0(B_139)
| ~ l1_struct_0(A_138) ),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_138373,plain,
! [D_3767] :
( m1_subset_1(k9_relat_1('#skF_3',D_3767),k1_zfmisc_1(u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))))
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_138354,c_200]) ).
tff(c_138387,plain,
! [D_3767] : m1_subset_1(k9_relat_1('#skF_3',D_3767),k1_zfmisc_1(u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_138350,c_6,c_14254,c_14206,c_138373]) ).
tff(c_20,plain,
( ~ v1_t_0topsp(k8_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ v2_waybel34('#skF_3','#skF_1','#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_565,plain,
~ v2_waybel34('#skF_3','#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_16,plain,
v2_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_10,plain,
v2_pre_topc('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_14449,plain,
! [A_807,B_808,C_809] :
( m1_subset_1('#skF_5'(A_807,B_808,C_809),k1_zfmisc_1(u1_struct_0(A_807)))
| v2_waybel34(C_809,A_807,B_808)
| ~ m2_relset_1(C_809,u1_struct_0(A_807),u1_struct_0(B_808))
| ~ v1_funct_2(C_809,u1_struct_0(A_807),u1_struct_0(B_808))
| ~ v1_funct_1(C_809)
| ~ l1_pre_topc(B_808)
| ~ v2_pre_topc(B_808)
| ~ l1_pre_topc(A_807)
| ~ v2_pre_topc(A_807) ),
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_436,plain,
! [A_233,B_234] :
( r1_tarski(A_233,B_234)
| ~ m1_subset_1(A_233,k1_zfmisc_1(B_234)) ),
inference(cnfTransformation,[status(thm)],[f_901]) ).
tff(c_115202,plain,
! [A_3480,B_3481,C_3482] :
( r1_tarski('#skF_5'(A_3480,B_3481,C_3482),u1_struct_0(A_3480))
| v2_waybel34(C_3482,A_3480,B_3481)
| ~ m2_relset_1(C_3482,u1_struct_0(A_3480),u1_struct_0(B_3481))
| ~ v1_funct_2(C_3482,u1_struct_0(A_3480),u1_struct_0(B_3481))
| ~ v1_funct_1(C_3482)
| ~ l1_pre_topc(B_3481)
| ~ v2_pre_topc(B_3481)
| ~ l1_pre_topc(A_3480)
| ~ v2_pre_topc(A_3480) ),
inference(resolution,[status(thm)],[c_14449,c_436]) ).
tff(c_115214,plain,
( r1_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| v2_waybel34('#skF_3','#skF_1','#skF_2')
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ v2_pre_topc('#skF_2')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_115202]) ).
tff(c_115230,plain,
( r1_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| v2_waybel34('#skF_3','#skF_1','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_10,c_8,c_6,c_2,c_115214]) ).
tff(c_115231,plain,
r1_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_565,c_115230]) ).
tff(c_14175,plain,
! [A_793,B_794,C_795] :
( v3_pre_topc('#skF_5'(A_793,B_794,C_795),A_793)
| v2_waybel34(C_795,A_793,B_794)
| ~ m2_relset_1(C_795,u1_struct_0(A_793),u1_struct_0(B_794))
| ~ v1_funct_2(C_795,u1_struct_0(A_793),u1_struct_0(B_794))
| ~ v1_funct_1(C_795)
| ~ l1_pre_topc(B_794)
| ~ v2_pre_topc(B_794)
| ~ l1_pre_topc(A_793)
| ~ v2_pre_topc(A_793) ),
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_14177,plain,
( v3_pre_topc('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v2_waybel34('#skF_3','#skF_1','#skF_2')
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ v2_pre_topc('#skF_2')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_14175]) ).
tff(c_14180,plain,
( v3_pre_topc('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_1')
| v2_waybel34('#skF_3','#skF_1','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_10,c_8,c_6,c_2,c_14177]) ).
tff(c_14181,plain,
v3_pre_topc('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_565,c_14180]) ).
tff(c_26,plain,
( v2_waybel34('#skF_3','#skF_1','#skF_2')
| v1_t_0topsp(k8_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_519,plain,
v1_t_0topsp(k8_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_12436,plain,
v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_12435,c_519]) ).
tff(c_15208,plain,
( ( k1_yellow_2('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14206,c_14303]) ).
tff(c_15209,plain,
~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_15208]) ).
tff(c_15212,plain,
~ l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_214,c_15209]) ).
tff(c_15216,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11615,c_15212]) ).
tff(c_15218,plain,
l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_15208]) ).
tff(c_15306,plain,
! [D_220] : ( k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',D_220) = k9_relat_1('#skF_3',D_220) ),
inference(demodulation,[status(thm),theory(equality)],[c_15218,c_14206,c_14289]) ).
tff(c_438,plain,
! [A_233,B_234] :
( m1_subset_1(A_233,k1_zfmisc_1(B_234))
| ~ r1_tarski(A_233,B_234) ),
inference(cnfTransformation,[status(thm)],[f_901]) ).
tff(c_14653,plain,
! [A_811,B_812,C_813,D_814] :
( v3_pre_topc(k4_pre_topc(A_811,B_812,C_813,D_814),B_812)
| ~ v3_pre_topc(D_814,A_811)
| ~ m1_subset_1(D_814,k1_zfmisc_1(u1_struct_0(A_811)))
| ~ v1_t_0topsp(C_813,A_811,B_812)
| ~ m2_relset_1(C_813,u1_struct_0(A_811),u1_struct_0(B_812))
| ~ v1_funct_2(C_813,u1_struct_0(A_811),u1_struct_0(B_812))
| ~ v1_funct_1(C_813)
| ~ l1_pre_topc(B_812)
| ~ l1_pre_topc(A_811) ),
inference(cnfTransformation,[status(thm)],[f_356]) ).
tff(c_129694,plain,
! [A_3665,B_3666,C_3667,A_3668] :
( v3_pre_topc(k4_pre_topc(A_3665,B_3666,C_3667,A_3668),B_3666)
| ~ v3_pre_topc(A_3668,A_3665)
| ~ v1_t_0topsp(C_3667,A_3665,B_3666)
| ~ m2_relset_1(C_3667,u1_struct_0(A_3665),u1_struct_0(B_3666))
| ~ v1_funct_2(C_3667,u1_struct_0(A_3665),u1_struct_0(B_3666))
| ~ v1_funct_1(C_3667)
| ~ l1_pre_topc(B_3666)
| ~ l1_pre_topc(A_3665)
| ~ r1_tarski(A_3668,u1_struct_0(A_3665)) ),
inference(resolution,[status(thm)],[c_438,c_14653]) ).
tff(c_129702,plain,
! [A_3668] :
( v3_pre_topc(k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',A_3668),k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ v3_pre_topc(A_3668,'#skF_1')
| ~ v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_pre_topc('#skF_1')
| ~ r1_tarski(A_3668,u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_14254,c_129694]) ).
tff(c_138014,plain,
! [A_3755] :
( v3_pre_topc(k9_relat_1('#skF_3',A_3755),k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ v3_pre_topc(A_3755,'#skF_1')
| ~ r1_tarski(A_3755,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_11615,c_6,c_14197,c_12436,c_15306,c_129702]) ).
tff(c_10898,plain,
k1_yellow_2('#skF_1','#skF_2','#skF_3') = k2_relat_1('#skF_3'),
inference(splitRight,[status(thm)],[c_10889]) ).
tff(c_13901,plain,
! [B_784,A_785,C_786] :
( ( k3_pre_topc(B_784,k1_yellow_2(A_785,B_784,C_786)) = k7_waybel18(A_785,B_784,C_786) )
| ~ m2_relset_1(C_786,u1_struct_0(A_785),u1_struct_0(B_784))
| ~ v1_funct_2(C_786,u1_struct_0(A_785),u1_struct_0(B_784))
| ~ v1_funct_1(C_786)
| ~ l1_pre_topc(B_784)
| ~ l1_struct_0(A_785) ),
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_13903,plain,
( ( k3_pre_topc('#skF_2',k1_yellow_2('#skF_1','#skF_2','#skF_3')) = k7_waybel18('#skF_1','#skF_2','#skF_3') )
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_13901]) ).
tff(c_13906,plain,
k3_pre_topc('#skF_2',k2_relat_1('#skF_3')) = k7_waybel18('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_8,c_6,c_2,c_10898,c_13903]) ).
tff(c_13176,plain,
! [A_766,B_767,C_768,D_769] :
( ( k4_pre_topc(A_766,B_767,C_768,D_769) = k9_relat_1(C_768,D_769) )
| ~ m1_relset_1(C_768,u1_struct_0(A_766),u1_struct_0(B_767))
| ~ v1_funct_2(C_768,u1_struct_0(A_766),u1_struct_0(B_767))
| ~ v1_funct_1(C_768)
| ~ l1_struct_0(B_767)
| ~ l1_struct_0(A_766) ),
inference(cnfTransformation,[status(thm)],[f_868]) ).
tff(c_13178,plain,
! [D_769] :
( ( k4_pre_topc('#skF_1','#skF_2','#skF_3',D_769) = k9_relat_1('#skF_3',D_769) )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_13176]) ).
tff(c_13181,plain,
! [D_769] : ( k4_pre_topc('#skF_1','#skF_2','#skF_3',D_769) = k9_relat_1('#skF_3',D_769) ),
inference(demodulation,[status(thm),theory(equality)],[c_10899,c_10878,c_6,c_2463,c_13178]) ).
tff(c_15026,plain,
! [A_823,B_824,C_825] :
( ~ m1_subset_1(k4_pre_topc(A_823,B_824,C_825,'#skF_5'(A_823,B_824,C_825)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(B_824,k1_yellow_2(A_823,B_824,C_825)))))
| ~ v3_pre_topc(k4_pre_topc(A_823,B_824,C_825,'#skF_5'(A_823,B_824,C_825)),k3_pre_topc(B_824,k1_yellow_2(A_823,B_824,C_825)))
| v2_waybel34(C_825,A_823,B_824)
| ~ m2_relset_1(C_825,u1_struct_0(A_823),u1_struct_0(B_824))
| ~ v1_funct_2(C_825,u1_struct_0(A_823),u1_struct_0(B_824))
| ~ v1_funct_1(C_825)
| ~ l1_pre_topc(B_824)
| ~ v2_pre_topc(B_824)
| ~ l1_pre_topc(A_823)
| ~ v2_pre_topc(A_823) ),
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_15037,plain,
( ~ m1_subset_1(k4_pre_topc('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k1_zfmisc_1(u1_struct_0(k3_pre_topc('#skF_2',k2_relat_1('#skF_3')))))
| ~ v3_pre_topc(k4_pre_topc('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k3_pre_topc('#skF_2',k1_yellow_2('#skF_1','#skF_2','#skF_3')))
| v2_waybel34('#skF_3','#skF_1','#skF_2')
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ v2_pre_topc('#skF_2')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_10898,c_15026]) ).
tff(c_15046,plain,
( ~ m1_subset_1(k9_relat_1('#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k1_zfmisc_1(u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))))
| ~ v3_pre_topc(k9_relat_1('#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k7_waybel18('#skF_1','#skF_2','#skF_3'))
| v2_waybel34('#skF_3','#skF_1','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_10,c_8,c_6,c_4,c_2,c_13906,c_13181,c_10898,c_13906,c_13181,c_15037]) ).
tff(c_15047,plain,
( ~ m1_subset_1(k9_relat_1('#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k1_zfmisc_1(u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))))
| ~ v3_pre_topc(k9_relat_1('#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_565,c_15046]) ).
tff(c_15058,plain,
~ v3_pre_topc(k9_relat_1('#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_15047]) ).
tff(c_138017,plain,
( ~ v3_pre_topc('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_1')
| ~ r1_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_138014,c_15058]) ).
tff(c_138024,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115231,c_14181,c_138017]) ).
tff(c_138025,plain,
~ m1_subset_1(k9_relat_1('#skF_3','#skF_5'('#skF_1','#skF_2','#skF_3')),k1_zfmisc_1(u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))),
inference(splitRight,[status(thm)],[c_15047]) ).
tff(c_145242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138387,c_138025]) ).
tff(c_145243,plain,
~ v1_t_0topsp(k8_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_145561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145243,c_519]) ).
tff(c_145562,plain,
v2_waybel34('#skF_3','#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_145609,plain,
~ v1_t_0topsp(k8_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_145562,c_20]) ).
tff(c_156963,plain,
~ v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_156961,c_145609]) ).
tff(c_156490,plain,
! [A_4506,B_4507,C_4508] :
( m1_pre_topc(k7_waybel18(A_4506,B_4507,C_4508),B_4507)
| ~ m1_relset_1(C_4508,u1_struct_0(A_4506),u1_struct_0(B_4507))
| ~ v1_funct_2(C_4508,u1_struct_0(A_4506),u1_struct_0(B_4507))
| ~ v1_funct_1(C_4508)
| ~ l1_pre_topc(B_4507)
| ~ l1_struct_0(A_4506) ),
inference(cnfTransformation,[status(thm)],[f_465]) ).
tff(c_156492,plain,
( m1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_156490]) ).
tff(c_156495,plain,
m1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_8,c_6,c_147421,c_156492]) ).
tff(c_156508,plain,
( l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_pre_topc('#skF_2') ),
inference(resolution,[status(thm)],[c_156495,c_218]) ).
tff(c_156514,plain,
l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_156508]) ).
tff(c_159460,plain,
! [A_4562,B_4563,C_4564] :
( v1_funct_2(k8_waybel18(A_4562,B_4563,C_4564),u1_struct_0(A_4562),u1_struct_0(k7_waybel18(A_4562,B_4563,C_4564)))
| ~ m1_relset_1(C_4564,u1_struct_0(A_4562),u1_struct_0(B_4563))
| ~ v1_funct_2(C_4564,u1_struct_0(A_4562),u1_struct_0(B_4563))
| ~ v1_funct_1(C_4564)
| ~ l1_pre_topc(B_4563)
| v3_struct_0(B_4563)
| ~ l1_struct_0(A_4562) ),
inference(cnfTransformation,[status(thm)],[f_484]) ).
tff(c_159485,plain,
( v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_156961,c_159460]) ).
tff(c_159496,plain,
( v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_8,c_6,c_4,c_147421,c_159485]) ).
tff(c_159497,plain,
v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))),
inference(negUnitSimplification,[status(thm)],[c_12,c_159496]) ).
tff(c_159557,plain,
! [A_4566,B_4567,C_4568] :
( m2_relset_1(k8_waybel18(A_4566,B_4567,C_4568),u1_struct_0(A_4566),u1_struct_0(k7_waybel18(A_4566,B_4567,C_4568)))
| ~ m1_relset_1(C_4568,u1_struct_0(A_4566),u1_struct_0(B_4567))
| ~ v1_funct_2(C_4568,u1_struct_0(A_4566),u1_struct_0(B_4567))
| ~ v1_funct_1(C_4568)
| ~ l1_pre_topc(B_4567)
| v3_struct_0(B_4567)
| ~ l1_struct_0(A_4566) ),
inference(cnfTransformation,[status(thm)],[f_484]) ).
tff(c_159566,plain,
( m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_156961,c_159557]) ).
tff(c_159570,plain,
( m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_8,c_6,c_4,c_147421,c_159566]) ).
tff(c_159571,plain,
m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))),
inference(negUnitSimplification,[status(thm)],[c_12,c_159570]) ).
tff(c_166,plain,
! [A_73,B_85,C_91] :
( m1_subset_1('#skF_4'(A_73,B_85,C_91),k1_zfmisc_1(u1_struct_0(A_73)))
| v1_t_0topsp(C_91,A_73,B_85)
| ~ m2_relset_1(C_91,u1_struct_0(A_73),u1_struct_0(B_85))
| ~ v1_funct_2(C_91,u1_struct_0(A_73),u1_struct_0(B_85))
| ~ v1_funct_1(C_91)
| ~ l1_pre_topc(B_85)
| ~ l1_pre_topc(A_73) ),
inference(cnfTransformation,[status(thm)],[f_356]) ).
tff(c_164,plain,
! [A_73,B_85,C_91] :
( v3_pre_topc('#skF_4'(A_73,B_85,C_91),A_73)
| v1_t_0topsp(C_91,A_73,B_85)
| ~ m2_relset_1(C_91,u1_struct_0(A_73),u1_struct_0(B_85))
| ~ v1_funct_2(C_91,u1_struct_0(A_73),u1_struct_0(B_85))
| ~ v1_funct_1(C_91)
| ~ l1_pre_topc(B_85)
| ~ l1_pre_topc(A_73) ),
inference(cnfTransformation,[status(thm)],[f_356]) ).
tff(c_159507,plain,
( v3_pre_topc('#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3'),'#skF_1')
| v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_159497,c_164]) ).
tff(c_159532,plain,
( v3_pre_topc('#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3'),'#skF_1')
| v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_156514,c_6,c_159507]) ).
tff(c_159533,plain,
( v3_pre_topc('#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3'),'#skF_1')
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))) ),
inference(negUnitSimplification,[status(thm)],[c_156963,c_159532]) ).
tff(c_160346,plain,
v3_pre_topc('#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_159571,c_159533]) ).
tff(c_155943,plain,
k1_yellow_2('#skF_1','#skF_2','#skF_3') = k2_relat_1('#skF_3'),
inference(splitRight,[status(thm)],[c_155934]) ).
tff(c_159087,plain,
! [B_4552,A_4553,C_4554] :
( ( k3_pre_topc(B_4552,k1_yellow_2(A_4553,B_4552,C_4554)) = k7_waybel18(A_4553,B_4552,C_4554) )
| ~ m2_relset_1(C_4554,u1_struct_0(A_4553),u1_struct_0(B_4552))
| ~ v1_funct_2(C_4554,u1_struct_0(A_4553),u1_struct_0(B_4552))
| ~ v1_funct_1(C_4554)
| ~ l1_pre_topc(B_4552)
| ~ l1_struct_0(A_4553) ),
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_159089,plain,
( ( k3_pre_topc('#skF_2',k1_yellow_2('#skF_1','#skF_2','#skF_3')) = k7_waybel18('#skF_1','#skF_2','#skF_3') )
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_159087]) ).
tff(c_159092,plain,
k3_pre_topc('#skF_2',k2_relat_1('#skF_3')) = k7_waybel18('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_8,c_6,c_2,c_155943,c_159089]) ).
tff(c_158158,plain,
! [A_4530,B_4531,C_4532,D_4533] :
( ( k4_pre_topc(A_4530,B_4531,C_4532,D_4533) = k9_relat_1(C_4532,D_4533) )
| ~ m1_relset_1(C_4532,u1_struct_0(A_4530),u1_struct_0(B_4531))
| ~ v1_funct_2(C_4532,u1_struct_0(A_4530),u1_struct_0(B_4531))
| ~ v1_funct_1(C_4532)
| ~ l1_struct_0(B_4531)
| ~ l1_struct_0(A_4530) ),
inference(cnfTransformation,[status(thm)],[f_868]) ).
tff(c_158160,plain,
! [D_4533] :
( ( k4_pre_topc('#skF_1','#skF_2','#skF_3',D_4533) = k9_relat_1('#skF_3',D_4533) )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0('#skF_2')
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_158158]) ).
tff(c_158163,plain,
! [D_4533] : ( k4_pre_topc('#skF_1','#skF_2','#skF_3',D_4533) = k9_relat_1('#skF_3',D_4533) ),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_155923,c_6,c_147421,c_158160]) ).
tff(c_160077,plain,
! [A_4581,B_4582,C_4583,D_4584] :
( v3_pre_topc(k4_pre_topc(A_4581,B_4582,C_4583,D_4584),k3_pre_topc(B_4582,k1_yellow_2(A_4581,B_4582,C_4583)))
| ~ m1_subset_1(D_4584,k1_zfmisc_1(u1_struct_0(A_4581)))
| ~ v3_pre_topc(D_4584,A_4581)
| ~ v2_waybel34(C_4583,A_4581,B_4582)
| ~ m2_relset_1(C_4583,u1_struct_0(A_4581),u1_struct_0(B_4582))
| ~ v1_funct_2(C_4583,u1_struct_0(A_4581),u1_struct_0(B_4582))
| ~ v1_funct_1(C_4583)
| ~ l1_pre_topc(B_4582)
| ~ v2_pre_topc(B_4582)
| ~ l1_pre_topc(A_4581)
| ~ v2_pre_topc(A_4581) ),
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_160080,plain,
! [D_4533] :
( v3_pre_topc(k9_relat_1('#skF_3',D_4533),k3_pre_topc('#skF_2',k1_yellow_2('#skF_1','#skF_2','#skF_3')))
| ~ m1_subset_1(D_4533,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ v3_pre_topc(D_4533,'#skF_1')
| ~ v2_waybel34('#skF_3','#skF_1','#skF_2')
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc('#skF_2')
| ~ v2_pre_topc('#skF_2')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_158163,c_160077]) ).
tff(c_160729,plain,
! [D_4603] :
( v3_pre_topc(k9_relat_1('#skF_3',D_4603),k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ m1_subset_1(D_4603,k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ v3_pre_topc(D_4603,'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_10,c_8,c_6,c_4,c_2,c_145562,c_159092,c_155943,c_160080]) ).
tff(c_159585,plain,
m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))),
inference(resolution,[status(thm)],[c_159571,c_426]) ).
tff(c_159520,plain,
( ( k1_yellow_2('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_159497,c_420]) ).
tff(c_159550,plain,
( ( k1_yellow_2('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3') = k2_relat_1('#skF_3') )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_6,c_159520]) ).
tff(c_160470,plain,
( ( k1_yellow_2('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3') = k2_relat_1('#skF_3') )
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_159585,c_159550]) ).
tff(c_160471,plain,
~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_160470]) ).
tff(c_160474,plain,
~ l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_214,c_160471]) ).
tff(c_160478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156514,c_160474]) ).
tff(c_160480,plain,
l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_160470]) ).
tff(c_159509,plain,
! [D_220] :
( ( k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',D_220) = k9_relat_1('#skF_3',D_220) )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_159497,c_422]) ).
tff(c_159536,plain,
! [D_220] :
( ( k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',D_220) = k9_relat_1('#skF_3',D_220) )
| ~ m1_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ l1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_155944,c_6,c_159509]) ).
tff(c_160511,plain,
! [D_4596] : ( k4_pre_topc('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3',D_4596) = k9_relat_1('#skF_3',D_4596) ),
inference(demodulation,[status(thm),theory(equality)],[c_160480,c_159585,c_159536]) ).
tff(c_162,plain,
! [A_73,B_85,C_91] :
( ~ v3_pre_topc(k4_pre_topc(A_73,B_85,C_91,'#skF_4'(A_73,B_85,C_91)),B_85)
| v1_t_0topsp(C_91,A_73,B_85)
| ~ m2_relset_1(C_91,u1_struct_0(A_73),u1_struct_0(B_85))
| ~ v1_funct_2(C_91,u1_struct_0(A_73),u1_struct_0(B_85))
| ~ v1_funct_1(C_91)
| ~ l1_pre_topc(B_85)
| ~ l1_pre_topc(A_73) ),
inference(cnfTransformation,[status(thm)],[f_356]) ).
tff(c_160527,plain,
( ~ v3_pre_topc(k9_relat_1('#skF_3','#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3')),k7_waybel18('#skF_1','#skF_2','#skF_3'))
| v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_pre_topc('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_160511,c_162]) ).
tff(c_160542,plain,
( ~ v3_pre_topc(k9_relat_1('#skF_3','#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3')),k7_waybel18('#skF_1','#skF_2','#skF_3'))
| v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_156514,c_6,c_159497,c_159571,c_160527]) ).
tff(c_160543,plain,
~ v3_pre_topc(k9_relat_1('#skF_3','#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3')),k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(negUnitSimplification,[status(thm)],[c_156963,c_160542]) ).
tff(c_160732,plain,
( ~ m1_subset_1('#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3'),k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ v3_pre_topc('#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3'),'#skF_1') ),
inference(resolution,[status(thm)],[c_160729,c_160543]) ).
tff(c_160735,plain,
~ m1_subset_1('#skF_4'('#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'),'#skF_3'),k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_160346,c_160732]) ).
tff(c_165843,plain,
( v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0(k7_waybel18('#skF_1','#skF_2','#skF_3')))
| ~ v1_funct_1('#skF_3')
| ~ l1_pre_topc(k7_waybel18('#skF_1','#skF_2','#skF_3'))
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_166,c_160735]) ).
tff(c_165849,plain,
v1_t_0topsp('#skF_3','#skF_1',k7_waybel18('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_156514,c_6,c_159497,c_159571,c_165843]) ).
tff(c_165851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156963,c_165849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT363+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/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
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 12:37:02 EDT 2023
% 0.15/0.36 % CPUTime :
% 110.83/91.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.83/91.62
% 110.83/91.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 111.00/91.67
% 111.00/91.67 Inference rules
% 111.00/91.67 ----------------------
% 111.00/91.67 #Ref : 8
% 111.00/91.67 #Sup : 38511
% 111.00/91.67 #Fact : 0
% 111.00/91.67 #Define : 0
% 111.00/91.67 #Split : 634
% 111.00/91.67 #Chain : 0
% 111.00/91.67 #Close : 0
% 111.00/91.67
% 111.00/91.67 Ordering : KBO
% 111.00/91.67
% 111.00/91.67 Simplification rules
% 111.00/91.67 ----------------------
% 111.00/91.67 #Subsume : 13576
% 111.00/91.67 #Demod : 35719
% 111.00/91.67 #Tautology : 9735
% 111.00/91.67 #SimpNegUnit : 808
% 111.00/91.67 #BackRed : 1225
% 111.00/91.67
% 111.00/91.67 #Partial instantiations: 0
% 111.00/91.67 #Strategies tried : 1
% 111.00/91.67
% 111.00/91.67 Timing (in seconds)
% 111.00/91.67 ----------------------
% 111.00/91.67 Preprocessing : 0.82
% 111.00/91.67 Parsing : 0.43
% 111.00/91.67 CNF conversion : 0.07
% 111.00/91.67 Main loop : 89.62
% 111.00/91.67 Inferencing : 16.25
% 111.00/91.67 Reduction : 46.35
% 111.00/91.67 Demodulation : 36.89
% 111.00/91.67 BG Simplification : 0.22
% 111.00/91.67 Subsumption : 21.38
% 111.00/91.67 Abstraction : 0.48
% 111.00/91.67 MUC search : 0.00
% 111.00/91.67 Cooper : 0.00
% 111.00/91.67 Total : 90.53
% 111.00/91.67 Index Insertion : 0.00
% 111.00/91.67 Index Deletion : 0.00
% 111.00/91.67 Index Matching : 0.00
% 111.00/91.67 BG Taut test : 0.00
%------------------------------------------------------------------------------