TSTP Solution File: LAT379+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT379+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 10:47:05 EDT 2023
% Result : Theorem 22.80s 10.15s
% Output : CNFRefutation 22.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 78
% Syntax : Number of formulae : 157 ( 33 unt; 65 typ; 0 def)
% Number of atoms : 343 ( 17 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 417 ( 166 ~; 198 |; 27 &)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 52 >; 35 *; 0 +; 0 <<)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-4 aty)
% Number of functors : 31 ( 31 usr; 13 con; 0-3 aty)
% Number of variables : 88 (; 87 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r4_waybel_0 > v5_waybel34 > v4_waybel34 > v20_waybel_0 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v5_orders_2 > v2_waybel_0 > v1_waybel_0 > v13_waybel_0 > v12_waybel_0 > r2_hidden > r1_tarski > m1_subset_1 > v5_membered > v4_ordinal2 > v4_membered > v3_struct_0 > v3_membered > v2_membered > v2_funct_1 > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_setfam_1 > v1_relat_1 > v1_rat_1 > v1_membered > v1_int_1 > v1_funct_1 > v1_finset_1 > l1_struct_0 > l1_orders_2 > k2_struct_0 > k2_zfmisc_1 > k2_tarski > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_pre_topc > k1_xboole_0 > #skF_11 > #skF_21 > #skF_16 > #skF_20 > #skF_18 > #skF_17 > #skF_24 > #skF_6 > #skF_15 > #skF_22 > #skF_19 > #skF_4 > #skF_7 > #skF_14 > #skF_10 > #skF_13 > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_23 > #skF_8 > #skF_9 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_11',type,
'#skF_11': ( $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('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(r4_waybel_0,type,
r4_waybel_0: ( $i * $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(v2_waybel_0,type,
v2_waybel_0: ( $i * $i ) > $o ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(k1_pre_topc,type,
k1_pre_topc: $i > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(k2_struct_0,type,
k2_struct_0: ( $i * $i * $i ) > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(v12_waybel_0,type,
v12_waybel_0: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff(v5_orders_2,type,
v5_orders_2: ( $i * $i ) > $o ).
tff(v1_setfam_1,type,
v1_setfam_1: $i > $o ).
tff(k2_tarski,type,
k2_tarski: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i > $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(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(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
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(v1_waybel_0,type,
v1_waybel_0: ( $i * $i ) > $o ).
tff(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(v13_waybel_0,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(v4_waybel34,type,
v4_waybel34: ( $i * $i * $i ) > $o ).
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_12',type,
'#skF_12': $i ).
tff(v5_waybel34,type,
v5_waybel34: ( $i * $i * $i ) > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_54,negated_conjecture,
~ ! [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)) )
=> ( v4_waybel34(C,A,B)
=> ( v20_waybel_0(C,A,B)
& v5_waybel34(C,A,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_waybel34) ).
tff(f_501,axiom,
! [A,B] :
( ~ v1_xboole_0(k2_tarski(A,B))
& v1_finset_1(k2_tarski(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_finset_1) ).
tff(f_353,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
tff(f_565,axiom,
? [A] :
( v1_relat_1(A)
& v1_xboole_0(A)
& v1_funct_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
tff(f_681,axiom,
! [A] :
( v1_xboole_0(A)
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
tff(f_305,axiom,
! [A] :
( l1_struct_0(A)
=> ( k1_pre_topc(A) = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pre_topc) ).
tff(f_337,axiom,
! [A] :
( l1_struct_0(A)
=> m1_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
tff(f_333,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)) )
=> ( v20_waybel_0(C,A,B)
<=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> r4_waybel_0(A,B,C,k2_struct_0(A,D,E)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d35_waybel_0) ).
tff(f_644,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> ( k2_struct_0(A,B,C) = k2_tarski(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_struct_0) ).
tff(f_349,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_struct_0) ).
tff(f_279,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)) )
=> ( v4_waybel34(C,A,B)
<=> ! [D] :
( ( v1_finset_1(D)
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
=> r4_waybel_0(A,B,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d15_waybel34) ).
tff(f_301,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)) )
=> ( v5_waybel34(C,A,B)
<=> r4_waybel_0(A,B,C,k1_pre_topc(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_waybel34) ).
tff(f_170,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_finset_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
tff(c_14,plain,
~ v3_struct_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_12,plain,
l1_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_10,plain,
v1_funct_1('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_8,plain,
v1_funct_2('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_6,plain,
m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_4,plain,
v4_waybel34('#skF_3','#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_18,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_16,plain,
l1_orders_2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_268,plain,
! [A_174,B_175] : v1_finset_1(k2_tarski(A_174,B_175)),
inference(cnfTransformation,[status(thm)],[f_501]) ).
tff(c_154,plain,
! [A_146] :
( l1_struct_0(A_146)
| ~ l1_orders_2(A_146) ),
inference(cnfTransformation,[status(thm)],[f_353]) ).
tff(c_318,plain,
v1_xboole_0('#skF_17'),
inference(cnfTransformation,[status(thm)],[f_565]) ).
tff(c_391,plain,
! [A_219] :
( ( k1_xboole_0 = A_219 )
| ~ v1_xboole_0(A_219) ),
inference(cnfTransformation,[status(thm)],[f_681]) ).
tff(c_400,plain,
k1_xboole_0 = '#skF_17',
inference(resolution,[status(thm)],[c_318,c_391]) ).
tff(c_132,plain,
! [A_88] :
( ( k1_pre_topc(A_88) = k1_xboole_0 )
| ~ l1_struct_0(A_88) ),
inference(cnfTransformation,[status(thm)],[f_305]) ).
tff(c_532,plain,
! [A_240] :
( ( k1_pre_topc(A_240) = '#skF_17' )
| ~ l1_struct_0(A_240) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_132]) ).
tff(c_761,plain,
! [A_261] :
( ( k1_pre_topc(A_261) = '#skF_17' )
| ~ l1_orders_2(A_261) ),
inference(resolution,[status(thm)],[c_154,c_532]) ).
tff(c_773,plain,
k1_pre_topc('#skF_1') = '#skF_17',
inference(resolution,[status(thm)],[c_16,c_761]) ).
tff(c_1780,plain,
! [A_385] :
( m1_subset_1(k1_pre_topc(A_385),k1_zfmisc_1(u1_struct_0(A_385)))
| ~ l1_struct_0(A_385) ),
inference(cnfTransformation,[status(thm)],[f_337]) ).
tff(c_1840,plain,
( m1_subset_1('#skF_17',k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ l1_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_773,c_1780]) ).
tff(c_2169,plain,
~ l1_struct_0('#skF_1'),
inference(splitLeft,[status(thm)],[c_1840]) ).
tff(c_2172,plain,
~ l1_orders_2('#skF_1'),
inference(resolution,[status(thm)],[c_154,c_2169]) ).
tff(c_2176,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2172]) ).
tff(c_2178,plain,
l1_struct_0('#skF_1'),
inference(splitRight,[status(thm)],[c_1840]) ).
tff(c_2,plain,
( ~ v5_waybel34('#skF_3','#skF_1','#skF_2')
| ~ v20_waybel_0('#skF_3','#skF_1','#skF_2') ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_420,plain,
~ v20_waybel_0('#skF_3','#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_7036,plain,
! [A_739,B_740,C_741] :
( m1_subset_1('#skF_5'(A_739,B_740,C_741),u1_struct_0(A_739))
| v20_waybel_0(C_741,A_739,B_740)
| ~ m2_relset_1(C_741,u1_struct_0(A_739),u1_struct_0(B_740))
| ~ v1_funct_2(C_741,u1_struct_0(A_739),u1_struct_0(B_740))
| ~ v1_funct_1(C_741)
| ~ l1_orders_2(B_740)
| v3_struct_0(B_740)
| ~ l1_orders_2(A_739)
| v3_struct_0(A_739) ),
inference(cnfTransformation,[status(thm)],[f_333]) ).
tff(c_7038,plain,
( m1_subset_1('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| v20_waybel_0('#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_orders_2('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_7036]) ).
tff(c_7041,plain,
( m1_subset_1('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| v20_waybel_0('#skF_3','#skF_1','#skF_2')
| v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_12,c_10,c_6,c_7038]) ).
tff(c_7042,plain,
m1_subset_1('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_18,c_14,c_420,c_7041]) ).
tff(c_6909,plain,
! [A_730,B_731,C_732] :
( m1_subset_1('#skF_6'(A_730,B_731,C_732),u1_struct_0(A_730))
| v20_waybel_0(C_732,A_730,B_731)
| ~ m2_relset_1(C_732,u1_struct_0(A_730),u1_struct_0(B_731))
| ~ v1_funct_2(C_732,u1_struct_0(A_730),u1_struct_0(B_731))
| ~ v1_funct_1(C_732)
| ~ l1_orders_2(B_731)
| v3_struct_0(B_731)
| ~ l1_orders_2(A_730)
| v3_struct_0(A_730) ),
inference(cnfTransformation,[status(thm)],[f_333]) ).
tff(c_6911,plain,
( m1_subset_1('#skF_6'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| v20_waybel_0('#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_orders_2('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_6909]) ).
tff(c_6914,plain,
( m1_subset_1('#skF_6'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| v20_waybel_0('#skF_3','#skF_1','#skF_2')
| v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_12,c_10,c_6,c_6911]) ).
tff(c_6915,plain,
m1_subset_1('#skF_6'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_18,c_14,c_420,c_6914]) ).
tff(c_362,plain,
! [A_190,B_191,C_192] :
( ( k2_struct_0(A_190,B_191,C_192) = k2_tarski(B_191,C_192) )
| ~ m1_subset_1(C_192,u1_struct_0(A_190))
| ~ m1_subset_1(B_191,u1_struct_0(A_190))
| ~ l1_struct_0(A_190)
| v3_struct_0(A_190) ),
inference(cnfTransformation,[status(thm)],[f_644]) ).
tff(c_6923,plain,
! [B_191] :
( ( k2_struct_0('#skF_1',B_191,'#skF_6'('#skF_1','#skF_2','#skF_3')) = k2_tarski(B_191,'#skF_6'('#skF_1','#skF_2','#skF_3')) )
| ~ m1_subset_1(B_191,u1_struct_0('#skF_1'))
| ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_6915,c_362]) ).
tff(c_6980,plain,
! [B_191] :
( ( k2_struct_0('#skF_1',B_191,'#skF_6'('#skF_1','#skF_2','#skF_3')) = k2_tarski(B_191,'#skF_6'('#skF_1','#skF_2','#skF_3')) )
| ~ m1_subset_1(B_191,u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2178,c_6923]) ).
tff(c_6981,plain,
! [B_191] :
( ( k2_struct_0('#skF_1',B_191,'#skF_6'('#skF_1','#skF_2','#skF_3')) = k2_tarski(B_191,'#skF_6'('#skF_1','#skF_2','#skF_3')) )
| ~ m1_subset_1(B_191,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_6980]) ).
tff(c_7102,plain,
k2_struct_0('#skF_1','#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')) = k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_7042,c_6981]) ).
tff(c_148,plain,
! [A_143,B_144,C_145] :
( m1_subset_1(k2_struct_0(A_143,B_144,C_145),k1_zfmisc_1(u1_struct_0(A_143)))
| ~ m1_subset_1(C_145,u1_struct_0(A_143))
| ~ m1_subset_1(B_144,u1_struct_0(A_143))
| ~ l1_struct_0(A_143)
| v3_struct_0(A_143) ),
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_22656,plain,
( m1_subset_1(k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')),k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ m1_subset_1('#skF_6'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_5'('#skF_1','#skF_2','#skF_3'),u1_struct_0('#skF_1'))
| ~ l1_struct_0('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_7102,c_148]) ).
tff(c_22672,plain,
( m1_subset_1(k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')),k1_zfmisc_1(u1_struct_0('#skF_1')))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2178,c_7042,c_6915,c_22656]) ).
tff(c_22673,plain,
m1_subset_1(k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')),k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_18,c_22672]) ).
tff(c_120,plain,
! [A_59,B_71,C_77,D_80] :
( r4_waybel_0(A_59,B_71,C_77,D_80)
| ~ m1_subset_1(D_80,k1_zfmisc_1(u1_struct_0(A_59)))
| ~ v1_finset_1(D_80)
| ~ v4_waybel34(C_77,A_59,B_71)
| ~ m2_relset_1(C_77,u1_struct_0(A_59),u1_struct_0(B_71))
| ~ v1_funct_2(C_77,u1_struct_0(A_59),u1_struct_0(B_71))
| ~ v1_funct_1(C_77)
| ~ l1_orders_2(B_71)
| v3_struct_0(B_71)
| ~ l1_orders_2(A_59)
| v3_struct_0(A_59) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_22782,plain,
! [B_71,C_77] :
( r4_waybel_0('#skF_1',B_71,C_77,k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')))
| ~ v1_finset_1(k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')))
| ~ v4_waybel34(C_77,'#skF_1',B_71)
| ~ m2_relset_1(C_77,u1_struct_0('#skF_1'),u1_struct_0(B_71))
| ~ v1_funct_2(C_77,u1_struct_0('#skF_1'),u1_struct_0(B_71))
| ~ v1_funct_1(C_77)
| ~ l1_orders_2(B_71)
| v3_struct_0(B_71)
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_22673,c_120]) ).
tff(c_22891,plain,
! [B_71,C_77] :
( r4_waybel_0('#skF_1',B_71,C_77,k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')))
| ~ v4_waybel34(C_77,'#skF_1',B_71)
| ~ m2_relset_1(C_77,u1_struct_0('#skF_1'),u1_struct_0(B_71))
| ~ v1_funct_2(C_77,u1_struct_0('#skF_1'),u1_struct_0(B_71))
| ~ v1_funct_1(C_77)
| ~ l1_orders_2(B_71)
| v3_struct_0(B_71)
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_268,c_22782]) ).
tff(c_22975,plain,
! [B_1753,C_1754] :
( r4_waybel_0('#skF_1',B_1753,C_1754,k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')))
| ~ v4_waybel34(C_1754,'#skF_1',B_1753)
| ~ m2_relset_1(C_1754,u1_struct_0('#skF_1'),u1_struct_0(B_1753))
| ~ v1_funct_2(C_1754,u1_struct_0('#skF_1'),u1_struct_0(B_1753))
| ~ v1_funct_1(C_1754)
| ~ l1_orders_2(B_1753)
| v3_struct_0(B_1753) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_22891]) ).
tff(c_136,plain,
! [A_89,B_117,C_131] :
( ~ r4_waybel_0(A_89,B_117,C_131,k2_struct_0(A_89,'#skF_5'(A_89,B_117,C_131),'#skF_6'(A_89,B_117,C_131)))
| v20_waybel_0(C_131,A_89,B_117)
| ~ m2_relset_1(C_131,u1_struct_0(A_89),u1_struct_0(B_117))
| ~ v1_funct_2(C_131,u1_struct_0(A_89),u1_struct_0(B_117))
| ~ v1_funct_1(C_131)
| ~ l1_orders_2(B_117)
| v3_struct_0(B_117)
| ~ l1_orders_2(A_89)
| v3_struct_0(A_89) ),
inference(cnfTransformation,[status(thm)],[f_333]) ).
tff(c_22653,plain,
( ~ r4_waybel_0('#skF_1','#skF_2','#skF_3',k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')))
| v20_waybel_0('#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_orders_2('#skF_2')
| v3_struct_0('#skF_2')
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_7102,c_136]) ).
tff(c_22669,plain,
( ~ r4_waybel_0('#skF_1','#skF_2','#skF_3',k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3')))
| v20_waybel_0('#skF_3','#skF_1','#skF_2')
| v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_12,c_10,c_8,c_6,c_22653]) ).
tff(c_22670,plain,
~ r4_waybel_0('#skF_1','#skF_2','#skF_3',k2_tarski('#skF_5'('#skF_1','#skF_2','#skF_3'),'#skF_6'('#skF_1','#skF_2','#skF_3'))),
inference(negUnitSimplification,[status(thm)],[c_18,c_14,c_420,c_22669]) ).
tff(c_22978,plain,
( ~ v4_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_orders_2('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_22975,c_22670]) ).
tff(c_22981,plain,
v3_struct_0('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_22978]) ).
tff(c_22983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_22981]) ).
tff(c_22984,plain,
~ v5_waybel34('#skF_3','#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_23092,plain,
! [A_1772] :
( ( k1_pre_topc(A_1772) = '#skF_17' )
| ~ l1_struct_0(A_1772) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_132]) ).
tff(c_23333,plain,
! [A_1795] :
( ( k1_pre_topc(A_1795) = '#skF_17' )
| ~ l1_orders_2(A_1795) ),
inference(resolution,[status(thm)],[c_154,c_23092]) ).
tff(c_23345,plain,
k1_pre_topc('#skF_1') = '#skF_17',
inference(resolution,[status(thm)],[c_16,c_23333]) ).
tff(c_28565,plain,
! [C_2151,A_2152,B_2153] :
( v5_waybel34(C_2151,A_2152,B_2153)
| ~ r4_waybel_0(A_2152,B_2153,C_2151,k1_pre_topc(A_2152))
| ~ m2_relset_1(C_2151,u1_struct_0(A_2152),u1_struct_0(B_2153))
| ~ v1_funct_2(C_2151,u1_struct_0(A_2152),u1_struct_0(B_2153))
| ~ v1_funct_1(C_2151)
| ~ l1_orders_2(B_2153)
| v3_struct_0(B_2153)
| ~ l1_orders_2(A_2152)
| v3_struct_0(A_2152) ),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_28567,plain,
! [C_2151,B_2153] :
( v5_waybel34(C_2151,'#skF_1',B_2153)
| ~ r4_waybel_0('#skF_1',B_2153,C_2151,'#skF_17')
| ~ m2_relset_1(C_2151,u1_struct_0('#skF_1'),u1_struct_0(B_2153))
| ~ v1_funct_2(C_2151,u1_struct_0('#skF_1'),u1_struct_0(B_2153))
| ~ v1_funct_1(C_2151)
| ~ l1_orders_2(B_2153)
| v3_struct_0(B_2153)
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_23345,c_28565]) ).
tff(c_28577,plain,
! [C_2151,B_2153] :
( v5_waybel34(C_2151,'#skF_1',B_2153)
| ~ r4_waybel_0('#skF_1',B_2153,C_2151,'#skF_17')
| ~ m2_relset_1(C_2151,u1_struct_0('#skF_1'),u1_struct_0(B_2153))
| ~ v1_funct_2(C_2151,u1_struct_0('#skF_1'),u1_struct_0(B_2153))
| ~ v1_funct_1(C_2151)
| ~ l1_orders_2(B_2153)
| v3_struct_0(B_2153)
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_28567]) ).
tff(c_28600,plain,
! [C_2157,B_2158] :
( v5_waybel34(C_2157,'#skF_1',B_2158)
| ~ r4_waybel_0('#skF_1',B_2158,C_2157,'#skF_17')
| ~ m2_relset_1(C_2157,u1_struct_0('#skF_1'),u1_struct_0(B_2158))
| ~ v1_funct_2(C_2157,u1_struct_0('#skF_1'),u1_struct_0(B_2158))
| ~ v1_funct_1(C_2157)
| ~ l1_orders_2(B_2158)
| v3_struct_0(B_2158) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_28577]) ).
tff(c_28603,plain,
( v5_waybel34('#skF_3','#skF_1','#skF_2')
| ~ r4_waybel_0('#skF_1','#skF_2','#skF_3','#skF_17')
| ~ m2_relset_1('#skF_3',u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))
| ~ v1_funct_1('#skF_3')
| ~ l1_orders_2('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_8,c_28600]) ).
tff(c_28606,plain,
( v5_waybel34('#skF_3','#skF_1','#skF_2')
| ~ r4_waybel_0('#skF_1','#skF_2','#skF_3','#skF_17')
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6,c_28603]) ).
tff(c_28607,plain,
~ r4_waybel_0('#skF_1','#skF_2','#skF_3','#skF_17'),
inference(negUnitSimplification,[status(thm)],[c_14,c_22984,c_28606]) ).
tff(c_22986,plain,
! [A_1755] :
( v1_finset_1(A_1755)
| ~ v1_xboole_0(A_1755) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_22990,plain,
v1_finset_1('#skF_17'),
inference(resolution,[status(thm)],[c_318,c_22986]) ).
tff(c_24366,plain,
! [A_1918] :
( m1_subset_1(k1_pre_topc(A_1918),k1_zfmisc_1(u1_struct_0(A_1918)))
| ~ l1_struct_0(A_1918) ),
inference(cnfTransformation,[status(thm)],[f_337]) ).
tff(c_24426,plain,
( m1_subset_1('#skF_17',k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ l1_struct_0('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_23345,c_24366]) ).
tff(c_24661,plain,
~ l1_struct_0('#skF_1'),
inference(splitLeft,[status(thm)],[c_24426]) ).
tff(c_24664,plain,
~ l1_orders_2('#skF_1'),
inference(resolution,[status(thm)],[c_154,c_24661]) ).
tff(c_24668,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_24664]) ).
tff(c_24669,plain,
m1_subset_1('#skF_17',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(splitRight,[status(thm)],[c_24426]) ).
tff(c_29025,plain,
! [A_2236,B_2237,C_2238,D_2239] :
( r4_waybel_0(A_2236,B_2237,C_2238,D_2239)
| ~ m1_subset_1(D_2239,k1_zfmisc_1(u1_struct_0(A_2236)))
| ~ v1_finset_1(D_2239)
| ~ v4_waybel34(C_2238,A_2236,B_2237)
| ~ m2_relset_1(C_2238,u1_struct_0(A_2236),u1_struct_0(B_2237))
| ~ v1_funct_2(C_2238,u1_struct_0(A_2236),u1_struct_0(B_2237))
| ~ v1_funct_1(C_2238)
| ~ l1_orders_2(B_2237)
| v3_struct_0(B_2237)
| ~ l1_orders_2(A_2236)
| v3_struct_0(A_2236) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_29041,plain,
! [B_2237,C_2238] :
( r4_waybel_0('#skF_1',B_2237,C_2238,'#skF_17')
| ~ v1_finset_1('#skF_17')
| ~ v4_waybel34(C_2238,'#skF_1',B_2237)
| ~ m2_relset_1(C_2238,u1_struct_0('#skF_1'),u1_struct_0(B_2237))
| ~ v1_funct_2(C_2238,u1_struct_0('#skF_1'),u1_struct_0(B_2237))
| ~ v1_funct_1(C_2238)
| ~ l1_orders_2(B_2237)
| v3_struct_0(B_2237)
| ~ l1_orders_2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_24669,c_29025]) ).
tff(c_29076,plain,
! [B_2237,C_2238] :
( r4_waybel_0('#skF_1',B_2237,C_2238,'#skF_17')
| ~ v4_waybel34(C_2238,'#skF_1',B_2237)
| ~ m2_relset_1(C_2238,u1_struct_0('#skF_1'),u1_struct_0(B_2237))
| ~ v1_funct_2(C_2238,u1_struct_0('#skF_1'),u1_struct_0(B_2237))
| ~ v1_funct_1(C_2238)
| ~ l1_orders_2(B_2237)
| v3_struct_0(B_2237)
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_22990,c_29041]) ).
tff(c_29428,plain,
! [B_2276,C_2277] :
( r4_waybel_0('#skF_1',B_2276,C_2277,'#skF_17')
| ~ v4_waybel34(C_2277,'#skF_1',B_2276)
| ~ m2_relset_1(C_2277,u1_struct_0('#skF_1'),u1_struct_0(B_2276))
| ~ v1_funct_2(C_2277,u1_struct_0('#skF_1'),u1_struct_0(B_2276))
| ~ v1_funct_1(C_2277)
| ~ l1_orders_2(B_2276)
| v3_struct_0(B_2276) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_29076]) ).
tff(c_29431,plain,
( r4_waybel_0('#skF_1','#skF_2','#skF_3','#skF_17')
| ~ v4_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_orders_2('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_8,c_29428]) ).
tff(c_29434,plain,
( r4_waybel_0('#skF_1','#skF_2','#skF_3','#skF_17')
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6,c_4,c_29431]) ).
tff(c_29436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_28607,c_29434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT379+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 12:52:46 EDT 2023
% 0.13/0.35 % CPUTime :
% 22.80/10.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.80/10.16
% 22.80/10.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.80/10.20
% 22.80/10.20 Inference rules
% 22.80/10.20 ----------------------
% 22.80/10.20 #Ref : 0
% 22.80/10.20 #Sup : 6647
% 22.80/10.20 #Fact : 0
% 22.80/10.20 #Define : 0
% 22.80/10.20 #Split : 127
% 22.80/10.20 #Chain : 0
% 22.80/10.20 #Close : 0
% 22.80/10.20
% 22.80/10.20 Ordering : KBO
% 22.80/10.20
% 22.80/10.20 Simplification rules
% 22.80/10.20 ----------------------
% 22.80/10.20 #Subsume : 3447
% 22.80/10.20 #Demod : 1995
% 22.80/10.20 #Tautology : 1023
% 22.80/10.20 #SimpNegUnit : 462
% 22.80/10.20 #BackRed : 147
% 22.80/10.20
% 22.80/10.20 #Partial instantiations: 0
% 22.80/10.20 #Strategies tried : 1
% 22.80/10.20
% 22.80/10.20 Timing (in seconds)
% 22.80/10.20 ----------------------
% 22.80/10.20 Preprocessing : 0.81
% 22.80/10.20 Parsing : 0.43
% 22.80/10.20 CNF conversion : 0.08
% 22.80/10.20 Main loop : 8.32
% 22.80/10.20 Inferencing : 2.50
% 22.80/10.20 Reduction : 3.11
% 22.80/10.20 Demodulation : 2.03
% 22.80/10.20 BG Simplification : 0.09
% 22.80/10.20 Subsumption : 2.07
% 22.80/10.20 Abstraction : 0.10
% 22.80/10.20 MUC search : 0.00
% 22.80/10.20 Cooper : 0.00
% 22.80/10.20 Total : 9.19
% 22.80/10.20 Index Insertion : 0.00
% 22.80/10.20 Index Deletion : 0.00
% 22.80/10.20 Index Matching : 0.00
% 22.80/10.20 BG Taut test : 0.00
%------------------------------------------------------------------------------