TSTP Solution File: LAT292+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT292+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 : 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 10:46:40 EDT 2023
% Result : Theorem 14.51s 4.68s
% Output : CNFRefutation 14.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 104
% Syntax : Number of formulae : 132 ( 11 unt; 99 typ; 0 def)
% Number of atoms : 130 ( 2 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 158 ( 61 ~; 65 |; 27 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 104 ( 79 >; 25 *; 0 +; 0 <<)
% Number of predicates : 53 ( 51 usr; 1 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 20 con; 0-3 aty)
% Number of variables : 13 (; 12 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v4_pre_topc > v3_pre_topc > r2_hidden > r1_tarski > r1_filter_1 > m1_subset_1 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_membered > v5_lattices > v4_ordinal2 > v4_membered > v4_lattices > v4_finsub_1 > v3_struct_0 > v3_realset2 > v3_membered > v3_lattices > v3_finsub_1 > v2_pre_topc > v2_membered > 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_finsub_1 > v1_finset_1 > v17_lattices > v16_lattices > v15_lattices > v14_lattices > v13_lattices > v12_lattices > v11_lattices > v10_lattices > l3_lattices > l2_lattices > l1_struct_0 > l1_pre_topc > l1_lattices > g3_lattices > k2_zfmisc_1 > g1_pre_topc > #nlpp > u2_lattices > u1_struct_0 > u1_pre_topc > u1_lattices > k6_lopclset > k5_lopclset > k4_lopclset > k1_zfmisc_1 > k1_lopclset > k12_lopclset > k11_lopclset > a_1_0_lopclset > k1_xboole_0 > #skF_25 > #skF_18 > #skF_17 > #skF_11 > #skF_15 > #skF_20 > #skF_22 > #skF_32 > #skF_8 > #skF_19 > #skF_31 > #skF_29 > #skF_14 > #skF_5 > #skF_28 > #skF_6 > #skF_13 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_21 > #skF_26 > #skF_30 > #skF_4 > #skF_24 > #skF_27 > #skF_23 > #skF_7 > #skF_16 > #skF_9 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(k12_lopclset,type,
k12_lopclset: $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(v12_lattices,type,
v12_lattices: $i > $o ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(l2_lattices,type,
l2_lattices: $i > $o ).
tff(u1_pre_topc,type,
u1_pre_topc: $i > $i ).
tff(k11_lopclset,type,
k11_lopclset: $i > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v4_finsub_1,type,
v4_finsub_1: $i > $o ).
tff(v3_pre_topc,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(k6_lopclset,type,
k6_lopclset: $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(g1_pre_topc,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(k4_lopclset,type,
k4_lopclset: $i > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff(r1_filter_1,type,
r1_filter_1: ( $i * $i ) > $o ).
tff(l1_pre_topc,type,
l1_pre_topc: $i > $o ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff(k5_lopclset,type,
k5_lopclset: $i > $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v17_lattices,type,
v17_lattices: $i > $o ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(v6_lattices,type,
v6_lattices: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(u2_lattices,type,
u2_lattices: $i > $i ).
tff(v9_lattices,type,
v9_lattices: $i > $o ).
tff(a_1_0_lopclset,type,
a_1_0_lopclset: $i > $i ).
tff(v3_realset2,type,
v3_realset2: $i > $o ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff(g3_lattices,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(v1_xreal_0,type,
v1_xreal_0: $i > $o ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff(v1_pre_topc,type,
v1_pre_topc: $i > $o ).
tff(v3_finsub_1,type,
v3_finsub_1: $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(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('#skF_30',type,
'#skF_30': $i ).
tff(v14_lattices,type,
v14_lattices: $i > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(v13_lattices,type,
v13_lattices: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(v11_lattices,type,
v11_lattices: $i > $o ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff(k1_lopclset,type,
k1_lopclset: $i > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v1_finsub_1,type,
v1_finsub_1: $i > $o ).
tff(v2_pre_topc,type,
v2_pre_topc: $i > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v16_lattices,type,
v16_lattices: $i > $o ).
tff('#skF_16',type,
'#skF_16': ( $i * $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(v15_lattices,type,
v15_lattices: $i > $o ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v7_lattices,type,
v7_lattices: $i > $o ).
tff(f_52,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ? [B] :
( ~ v3_struct_0(B)
& v2_pre_topc(B)
& l1_pre_topc(B)
& r1_filter_1(A,k6_lopclset(B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_lopclset) ).
tff(f_488,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A))
& l1_pre_topc(k11_lopclset(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_lopclset) ).
tff(f_688,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lopclset) ).
tff(f_1115,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> r1_filter_1(A,k12_lopclset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_lopclset) ).
tff(f_448,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lopclset) ).
tff(c_12,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_6,plain,
~ v3_realset2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_10,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_8,plain,
v17_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_4,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_204,plain,
! [A_77] :
( l1_pre_topc(k11_lopclset(A_77))
| ~ l3_lattices(A_77)
| v3_realset2(A_77)
| ~ v17_lattices(A_77)
| ~ v10_lattices(A_77)
| v3_struct_0(A_77) ),
inference(cnfTransformation,[status(thm)],[f_488]) ).
tff(c_310,plain,
! [A_109] :
( v2_pre_topc(k11_lopclset(A_109))
| ~ l3_lattices(A_109)
| v3_realset2(A_109)
| ~ v17_lattices(A_109)
| ~ v10_lattices(A_109)
| v3_struct_0(A_109) ),
inference(cnfTransformation,[status(thm)],[f_688]) ).
tff(c_624,plain,
! [A_164] :
( r1_filter_1(A_164,k12_lopclset(A_164))
| ~ l3_lattices(A_164)
| v3_realset2(A_164)
| ~ v17_lattices(A_164)
| ~ v10_lattices(A_164)
| v3_struct_0(A_164) ),
inference(cnfTransformation,[status(thm)],[f_1115]) ).
tff(c_5793,plain,
! [A_649] :
( ( k6_lopclset(k11_lopclset(A_649)) = k12_lopclset(A_649) )
| ~ l3_lattices(A_649)
| v3_realset2(A_649)
| ~ v17_lattices(A_649)
| ~ v10_lattices(A_649)
| v3_struct_0(A_649) ),
inference(cnfTransformation,[status(thm)],[f_448]) ).
tff(c_2,plain,
! [B_2] :
( ~ r1_filter_1('#skF_1',k6_lopclset(B_2))
| ~ l1_pre_topc(B_2)
| ~ v2_pre_topc(B_2)
| v3_struct_0(B_2) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_5815,plain,
! [A_650] :
( ~ r1_filter_1('#skF_1',k12_lopclset(A_650))
| ~ l1_pre_topc(k11_lopclset(A_650))
| ~ v2_pre_topc(k11_lopclset(A_650))
| v3_struct_0(k11_lopclset(A_650))
| ~ l3_lattices(A_650)
| v3_realset2(A_650)
| ~ v17_lattices(A_650)
| ~ v10_lattices(A_650)
| v3_struct_0(A_650) ),
inference(superposition,[status(thm),theory(equality)],[c_5793,c_2]) ).
tff(c_5819,plain,
( ~ l1_pre_topc(k11_lopclset('#skF_1'))
| ~ v2_pre_topc(k11_lopclset('#skF_1'))
| v3_struct_0(k11_lopclset('#skF_1'))
| ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_624,c_5815]) ).
tff(c_5822,plain,
( ~ l1_pre_topc(k11_lopclset('#skF_1'))
| ~ v2_pre_topc(k11_lopclset('#skF_1'))
| v3_struct_0(k11_lopclset('#skF_1'))
| v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_5819]) ).
tff(c_5823,plain,
( ~ l1_pre_topc(k11_lopclset('#skF_1'))
| ~ v2_pre_topc(k11_lopclset('#skF_1'))
| v3_struct_0(k11_lopclset('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_5822]) ).
tff(c_6068,plain,
~ v2_pre_topc(k11_lopclset('#skF_1')),
inference(splitLeft,[status(thm)],[c_5823]) ).
tff(c_6071,plain,
( ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_310,c_6068]) ).
tff(c_6074,plain,
( v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_6071]) ).
tff(c_6076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_6074]) ).
tff(c_6077,plain,
( ~ l1_pre_topc(k11_lopclset('#skF_1'))
| v3_struct_0(k11_lopclset('#skF_1')) ),
inference(splitRight,[status(thm)],[c_5823]) ).
tff(c_6079,plain,
~ l1_pre_topc(k11_lopclset('#skF_1')),
inference(splitLeft,[status(thm)],[c_6077]) ).
tff(c_6082,plain,
( ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_204,c_6079]) ).
tff(c_6085,plain,
( v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_6082]) ).
tff(c_6087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_6085]) ).
tff(c_6088,plain,
v3_struct_0(k11_lopclset('#skF_1')),
inference(splitRight,[status(thm)],[c_6077]) ).
tff(c_314,plain,
! [A_109] :
( ~ v3_struct_0(k11_lopclset(A_109))
| ~ l3_lattices(A_109)
| v3_realset2(A_109)
| ~ v17_lattices(A_109)
| ~ v10_lattices(A_109)
| v3_struct_0(A_109) ),
inference(cnfTransformation,[status(thm)],[f_688]) ).
tff(c_6092,plain,
( ~ l3_lattices('#skF_1')
| v3_realset2('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_6088,c_314]) ).
tff(c_6095,plain,
( v3_realset2('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4,c_6092]) ).
tff(c_6097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_6,c_6095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 12:28:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 14.51/4.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.51/4.68
% 14.51/4.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.80/4.73
% 14.80/4.73 Inference rules
% 14.80/4.73 ----------------------
% 14.80/4.73 #Ref : 2
% 14.80/4.73 #Sup : 1152
% 14.80/4.73 #Fact : 0
% 14.80/4.73 #Define : 0
% 14.80/4.73 #Split : 58
% 14.80/4.73 #Chain : 0
% 14.80/4.73 #Close : 0
% 14.80/4.73
% 14.80/4.73 Ordering : KBO
% 14.80/4.73
% 14.80/4.73 Simplification rules
% 14.80/4.73 ----------------------
% 14.80/4.73 #Subsume : 383
% 14.80/4.73 #Demod : 348
% 14.80/4.73 #Tautology : 194
% 14.80/4.73 #SimpNegUnit : 97
% 14.80/4.73 #BackRed : 69
% 14.80/4.73
% 14.80/4.73 #Partial instantiations: 0
% 14.80/4.73 #Strategies tried : 1
% 14.80/4.73
% 14.80/4.73 Timing (in seconds)
% 14.80/4.73 ----------------------
% 14.80/4.74 Preprocessing : 1.10
% 14.80/4.74 Parsing : 0.61
% 14.80/4.74 CNF conversion : 0.09
% 14.80/4.74 Main loop : 2.52
% 14.80/4.74 Inferencing : 0.81
% 14.80/4.74 Reduction : 0.98
% 14.80/4.74 Demodulation : 0.68
% 14.80/4.74 BG Simplification : 0.09
% 14.80/4.74 Subsumption : 0.48
% 14.80/4.74 Abstraction : 0.05
% 14.80/4.74 MUC search : 0.00
% 14.80/4.74 Cooper : 0.00
% 14.80/4.74 Total : 3.69
% 14.80/4.74 Index Insertion : 0.00
% 14.80/4.74 Index Deletion : 0.00
% 14.80/4.74 Index Matching : 0.00
% 14.80/4.74 BG Taut test : 0.00
%------------------------------------------------------------------------------