TSTP Solution File: LAT319+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT319+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 10:46:48 EDT 2023
% Result : Theorem 14.13s 5.21s
% Output : CNFRefutation 14.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 74
% Syntax : Number of formulae : 188 ( 49 unt; 65 typ; 0 def)
% Number of atoms : 391 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 465 ( 197 ~; 198 |; 55 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 64 ( 46 >; 18 *; 0 +; 0 <<)
% Number of predicates : 34 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 19 con; 0-3 aty)
% Number of variables : 32 (; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > v2_binop_1 > v1_binop_1 > r2_hidden > r1_tarski > m1_subset_1 > v9_lattices > v8_lattices > v7_lattices > v6_lattices > v5_lattices > v4_lattices > v3_struct_0 > v3_lattices > v2_funct_1 > v1_xboole_0 > v1_relat_1 > v1_funct_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_lattices > g3_lattices > k2_zfmisc_1 > #nlpp > u2_lattices > u1_struct_0 > u1_lattices > k1_zfmisc_1 > k1_lattice2 > k1_xboole_0 > #skF_7 > #skF_6 > #skF_20 > #skF_18 > #skF_11 > #skF_15 > #skF_22 > #skF_19 > #skF_10 > #skF_16 > #skF_5 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_21 > #skF_9 > #skF_4 > #skF_17 > #skF_14 > #skF_24 > #skF_23 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l3_lattices,type,
l3_lattices: $i > $o ).
tff(k1_lattice2,type,
k1_lattice2: $i > $i ).
tff('#skF_7',type,
'#skF_7': $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('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(v2_funct_1,type,
v2_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(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(k1_xboole_0,type,
k1_xboole_0: $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(l1_lattices,type,
l1_lattices: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v17_lattices,type,
v17_lattices: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(v4_lattices,type,
v4_lattices: $i > $o ).
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('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(u1_lattices,type,
u1_lattices: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(g3_lattices,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(v5_lattices,type,
v5_lattices: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(v10_lattices,type,
v10_lattices: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(v1_binop_1,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(v2_binop_1,type,
v2_binop_1: ( $i * $i ) > $o ).
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('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v8_lattices,type,
v8_lattices: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(v3_lattices,type,
v3_lattices: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v16_lattices,type,
v16_lattices: $i > $o ).
tff(v1_xboole_0,type,
v1_xboole_0: $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_55,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v17_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_filter_2) ).
tff(f_261,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
tff(f_458,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
tff(f_158,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_lattices) ).
tff(f_235,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( v17_lattices(A)
<=> ( v15_lattices(A)
& v16_lattices(A)
& v11_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_lattices) ).
tff(f_735,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v15_lattices(A)
& v16_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v15_lattices(k1_lattice2(A))
& v16_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_filter_2) ).
tff(f_222,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A)
& v12_lattices(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_lattices) ).
tff(f_767,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A) )
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A)
& l3_lattices(A) )
<=> ( ~ v3_struct_0(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v11_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_lattice2) ).
tff(f_323,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
tff(c_2,plain,
l3_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_10116,plain,
! [A_1381] :
( l3_lattices(k1_lattice2(A_1381))
| ~ l3_lattices(A_1381) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_6,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_4,plain,
v10_lattices('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_9900,plain,
! [A_1360] :
( v10_lattices(k1_lattice2(A_1360))
| ~ l3_lattices(A_1360)
| ~ v10_lattices(A_1360)
| v3_struct_0(A_1360) ),
inference(cnfTransformation,[status(thm)],[f_458]) ).
tff(c_5863,plain,
! [A_848] :
( v14_lattices(A_848)
| ~ v15_lattices(A_848)
| v3_struct_0(A_848)
| ~ l3_lattices(A_848) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_5893,plain,
( v14_lattices('#skF_1')
| ~ v15_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_5863,c_6]) ).
tff(c_5919,plain,
( v14_lattices('#skF_1')
| ~ v15_lattices('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5893]) ).
tff(c_5922,plain,
~ v15_lattices('#skF_1'),
inference(splitLeft,[status(thm)],[c_5919]) ).
tff(c_52,plain,
( v17_lattices('#skF_1')
| ~ v3_struct_0(k1_lattice2('#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_536,plain,
~ v3_struct_0(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_42,plain,
( v17_lattices('#skF_1')
| v10_lattices(k1_lattice2('#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_535,plain,
v10_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_32,plain,
( v17_lattices('#skF_1')
| v17_lattices(k1_lattice2('#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_537,plain,
v17_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_22,plain,
( v17_lattices('#skF_1')
| l3_lattices(k1_lattice2('#skF_1')) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_534,plain,
l3_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_8,plain,
( ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_521,plain,
( ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ v10_lattices('#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_8]) ).
tff(c_527,plain,
( ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v17_lattices('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_521]) ).
tff(c_533,plain,
( ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| v3_struct_0(k1_lattice2('#skF_1'))
| ~ v17_lattices('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_527]) ).
tff(c_539,plain,
( v3_struct_0(k1_lattice2('#skF_1'))
| ~ v17_lattices('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_535,c_537,c_534,c_533]) ).
tff(c_540,plain,
~ v17_lattices('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_536,c_539]) ).
tff(c_876,plain,
! [A_145] :
( v14_lattices(A_145)
| ~ v15_lattices(A_145)
| v3_struct_0(A_145)
| ~ l3_lattices(A_145) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_906,plain,
( v14_lattices('#skF_1')
| ~ v15_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_876,c_6]) ).
tff(c_932,plain,
( v14_lattices('#skF_1')
| ~ v15_lattices('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_906]) ).
tff(c_933,plain,
~ v15_lattices('#skF_1'),
inference(splitLeft,[status(thm)],[c_932]) ).
tff(c_803,plain,
! [A_135] :
( v15_lattices(A_135)
| ~ v17_lattices(A_135)
| ~ l3_lattices(A_135)
| v3_struct_0(A_135) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_815,plain,
( v15_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_803,c_536]) ).
tff(c_843,plain,
v15_lattices(k1_lattice2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_537,c_815]) ).
tff(c_1020,plain,
! [A_154] :
( v16_lattices(A_154)
| ~ v17_lattices(A_154)
| ~ l3_lattices(A_154)
| v3_struct_0(A_154) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_1032,plain,
( v16_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_1020,c_536]) ).
tff(c_1060,plain,
v16_lattices(k1_lattice2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_537,c_1032]) ).
tff(c_3301,plain,
! [A_474] :
( v15_lattices(A_474)
| ~ l3_lattices(k1_lattice2(A_474))
| ~ v16_lattices(k1_lattice2(A_474))
| ~ v15_lattices(k1_lattice2(A_474))
| ~ v10_lattices(k1_lattice2(A_474))
| v3_struct_0(k1_lattice2(A_474))
| ~ l3_lattices(A_474)
| ~ v10_lattices(A_474)
| v3_struct_0(A_474) ),
inference(cnfTransformation,[status(thm)],[f_735]) ).
tff(c_3307,plain,
( v15_lattices('#skF_1')
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v16_lattices(k1_lattice2('#skF_1'))
| ~ v15_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_3301,c_536]) ).
tff(c_3311,plain,
( v15_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_535,c_843,c_1060,c_534,c_3307]) ).
tff(c_3313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_933,c_3311]) ).
tff(c_3315,plain,
v15_lattices('#skF_1'),
inference(splitRight,[status(thm)],[c_932]) ).
tff(c_3849,plain,
! [A_545] :
( v12_lattices(A_545)
| ~ v11_lattices(A_545)
| ~ v10_lattices(A_545)
| v3_struct_0(A_545)
| ~ l3_lattices(A_545) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_3879,plain,
( v12_lattices('#skF_1')
| ~ v11_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_3849,c_6]) ).
tff(c_3905,plain,
( v12_lattices('#skF_1')
| ~ v11_lattices('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_3879]) ).
tff(c_3907,plain,
~ v11_lattices('#skF_1'),
inference(splitLeft,[status(thm)],[c_3905]) ).
tff(c_3318,plain,
! [A_475] :
( v11_lattices(A_475)
| ~ v17_lattices(A_475)
| ~ l3_lattices(A_475)
| v3_struct_0(A_475) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_3330,plain,
( v11_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_3318,c_536]) ).
tff(c_3358,plain,
v11_lattices(k1_lattice2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_537,c_3330]) ).
tff(c_4658,plain,
! [A_651] :
( v11_lattices(A_651)
| ~ l3_lattices(k1_lattice2(A_651))
| ~ v11_lattices(k1_lattice2(A_651))
| ~ v10_lattices(k1_lattice2(A_651))
| v3_struct_0(k1_lattice2(A_651))
| ~ l3_lattices(A_651)
| ~ v10_lattices(A_651)
| v3_struct_0(A_651) ),
inference(cnfTransformation,[status(thm)],[f_767]) ).
tff(c_4664,plain,
( v11_lattices('#skF_1')
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v11_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4658,c_536]) ).
tff(c_4668,plain,
( v11_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_535,c_3358,c_534,c_4664]) ).
tff(c_4670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_3907,c_4668]) ).
tff(c_4672,plain,
v11_lattices('#skF_1'),
inference(splitRight,[status(thm)],[c_3905]) ).
tff(c_5051,plain,
! [A_712] :
( v17_lattices(A_712)
| ~ v11_lattices(A_712)
| ~ v16_lattices(A_712)
| ~ v15_lattices(A_712)
| ~ l3_lattices(A_712)
| v3_struct_0(A_712) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_5081,plain,
( v17_lattices('#skF_1')
| ~ v11_lattices('#skF_1')
| ~ v16_lattices('#skF_1')
| ~ v15_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_5051,c_6]) ).
tff(c_5112,plain,
( v17_lattices('#skF_1')
| ~ v16_lattices('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3315,c_4672,c_5081]) ).
tff(c_5113,plain,
~ v16_lattices('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_540,c_5112]) ).
tff(c_3435,plain,
! [A_478] :
( v16_lattices(A_478)
| ~ v17_lattices(A_478)
| ~ l3_lattices(A_478)
| v3_struct_0(A_478) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_3447,plain,
( v16_lattices(k1_lattice2('#skF_1'))
| ~ v17_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_3435,c_536]) ).
tff(c_3475,plain,
v16_lattices(k1_lattice2('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_537,c_3447]) ).
tff(c_5582,plain,
! [A_790] :
( v16_lattices(A_790)
| ~ l3_lattices(k1_lattice2(A_790))
| ~ v16_lattices(k1_lattice2(A_790))
| ~ v15_lattices(k1_lattice2(A_790))
| ~ v10_lattices(k1_lattice2(A_790))
| v3_struct_0(k1_lattice2(A_790))
| ~ l3_lattices(A_790)
| ~ v10_lattices(A_790)
| v3_struct_0(A_790) ),
inference(cnfTransformation,[status(thm)],[f_735]) ).
tff(c_5588,plain,
( v16_lattices('#skF_1')
| ~ l3_lattices(k1_lattice2('#skF_1'))
| ~ v16_lattices(k1_lattice2('#skF_1'))
| ~ v15_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_5582,c_536]) ).
tff(c_5592,plain,
( v16_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_535,c_843,c_3475,c_534,c_5588]) ).
tff(c_5594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_5113,c_5592]) ).
tff(c_5595,plain,
v17_lattices('#skF_1'),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_6221,plain,
! [A_869] :
( v15_lattices(A_869)
| ~ v17_lattices(A_869)
| ~ l3_lattices(A_869)
| v3_struct_0(A_869) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_6251,plain,
( v15_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_6221,c_6]) ).
tff(c_6280,plain,
v15_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5595,c_6251]) ).
tff(c_6282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5922,c_6280]) ).
tff(c_6284,plain,
v15_lattices('#skF_1'),
inference(splitRight,[status(thm)],[c_5919]) ).
tff(c_7896,plain,
! [A_1084] :
( v16_lattices(A_1084)
| ~ v17_lattices(A_1084)
| ~ l3_lattices(A_1084)
| v3_struct_0(A_1084) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_7926,plain,
( v16_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_7896,c_6]) ).
tff(c_7952,plain,
v16_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5595,c_7926]) ).
tff(c_8915,plain,
! [A_1245] :
( v16_lattices(k1_lattice2(A_1245))
| ~ v16_lattices(A_1245)
| ~ v15_lattices(A_1245)
| ~ l3_lattices(A_1245)
| ~ v10_lattices(A_1245)
| v3_struct_0(A_1245) ),
inference(cnfTransformation,[status(thm)],[f_735]) ).
tff(c_5596,plain,
~ v17_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_6584,plain,
! [A_890] :
( v16_lattices(A_890)
| ~ v17_lattices(A_890)
| ~ l3_lattices(A_890)
| v3_struct_0(A_890) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_6614,plain,
( v16_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_6584,c_6]) ).
tff(c_6640,plain,
v16_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5595,c_6614]) ).
tff(c_7644,plain,
! [A_1064] :
( v15_lattices(k1_lattice2(A_1064))
| ~ v16_lattices(A_1064)
| ~ v15_lattices(A_1064)
| ~ l3_lattices(A_1064)
| ~ v10_lattices(A_1064)
| v3_struct_0(A_1064) ),
inference(cnfTransformation,[status(thm)],[f_735]) ).
tff(c_5875,plain,
( v14_lattices(k1_lattice2('#skF_1'))
| ~ v15_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_5863,c_536]) ).
tff(c_5903,plain,
( v14_lattices(k1_lattice2('#skF_1'))
| ~ v15_lattices(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_5875]) ).
tff(c_6343,plain,
~ v15_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_5903]) ).
tff(c_7647,plain,
( ~ v16_lattices('#skF_1')
| ~ v15_lattices('#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_7644,c_6343]) ).
tff(c_7650,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_6284,c_6640,c_7647]) ).
tff(c_7652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_7650]) ).
tff(c_7654,plain,
v15_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_5903]) ).
tff(c_7706,plain,
! [A_1077] :
( v11_lattices(A_1077)
| ~ v17_lattices(A_1077)
| ~ l3_lattices(A_1077)
| v3_struct_0(A_1077) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_7736,plain,
( v11_lattices('#skF_1')
| ~ v17_lattices('#skF_1')
| ~ l3_lattices('#skF_1') ),
inference(resolution,[status(thm)],[c_7706,c_6]) ).
tff(c_7762,plain,
v11_lattices('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_5595,c_7736]) ).
tff(c_8356,plain,
! [A_1159] :
( v11_lattices(k1_lattice2(A_1159))
| ~ v11_lattices(A_1159)
| ~ l3_lattices(A_1159)
| ~ v10_lattices(A_1159)
| v3_struct_0(A_1159) ),
inference(cnfTransformation,[status(thm)],[f_767]) ).
tff(c_8150,plain,
! [A_1121] :
( v12_lattices(A_1121)
| ~ v11_lattices(A_1121)
| ~ v10_lattices(A_1121)
| v3_struct_0(A_1121)
| ~ l3_lattices(A_1121) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_8162,plain,
( v12_lattices(k1_lattice2('#skF_1'))
| ~ v11_lattices(k1_lattice2('#skF_1'))
| ~ v10_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_8150,c_536]) ).
tff(c_8190,plain,
( v12_lattices(k1_lattice2('#skF_1'))
| ~ v11_lattices(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_535,c_8162]) ).
tff(c_8225,plain,
~ v11_lattices(k1_lattice2('#skF_1')),
inference(splitLeft,[status(thm)],[c_8190]) ).
tff(c_8359,plain,
( ~ v11_lattices('#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8356,c_8225]) ).
tff(c_8362,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_7762,c_8359]) ).
tff(c_8364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_8362]) ).
tff(c_8366,plain,
v11_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_8190]) ).
tff(c_8561,plain,
! [A_1205] :
( v17_lattices(A_1205)
| ~ v11_lattices(A_1205)
| ~ v16_lattices(A_1205)
| ~ v15_lattices(A_1205)
| ~ l3_lattices(A_1205)
| v3_struct_0(A_1205) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_8573,plain,
( v17_lattices(k1_lattice2('#skF_1'))
| ~ v11_lattices(k1_lattice2('#skF_1'))
| ~ v16_lattices(k1_lattice2('#skF_1'))
| ~ v15_lattices(k1_lattice2('#skF_1'))
| ~ l3_lattices(k1_lattice2('#skF_1')) ),
inference(resolution,[status(thm)],[c_8561,c_536]) ).
tff(c_8602,plain,
( v17_lattices(k1_lattice2('#skF_1'))
| ~ v16_lattices(k1_lattice2('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_7654,c_8366,c_8573]) ).
tff(c_8603,plain,
~ v16_lattices(k1_lattice2('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_5596,c_8602]) ).
tff(c_8918,plain,
( ~ v16_lattices('#skF_1')
| ~ v15_lattices('#skF_1')
| ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8915,c_8603]) ).
tff(c_8921,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_6284,c_7952,c_8918]) ).
tff(c_8923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_8921]) ).
tff(c_8925,plain,
v3_struct_0(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_9151,plain,
! [A_1279] :
( ~ v3_struct_0(k1_lattice2(A_1279))
| ~ l3_lattices(A_1279)
| v3_struct_0(A_1279) ),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_9154,plain,
( ~ l3_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8925,c_9151]) ).
tff(c_9157,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_9154]) ).
tff(c_9159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_9157]) ).
tff(c_9161,plain,
~ v10_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_9903,plain,
( ~ l3_lattices('#skF_1')
| ~ v10_lattices('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_9900,c_9161]) ).
tff(c_9906,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_9903]) ).
tff(c_9908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_9906]) ).
tff(c_9910,plain,
~ l3_lattices(k1_lattice2('#skF_1')),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_10125,plain,
~ l3_lattices('#skF_1'),
inference(resolution,[status(thm)],[c_10116,c_9910]) ).
tff(c_10131,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n010.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 12:35:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 14.13/5.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.13/5.22
% 14.13/5.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.13/5.26
% 14.13/5.26 Inference rules
% 14.13/5.26 ----------------------
% 14.13/5.26 #Ref : 0
% 14.13/5.26 #Sup : 1900
% 14.13/5.26 #Fact : 0
% 14.13/5.26 #Define : 0
% 14.13/5.26 #Split : 105
% 14.13/5.26 #Chain : 0
% 14.13/5.26 #Close : 0
% 14.13/5.26
% 14.13/5.26 Ordering : KBO
% 14.13/5.26
% 14.13/5.26 Simplification rules
% 14.13/5.26 ----------------------
% 14.13/5.26 #Subsume : 663
% 14.13/5.26 #Demod : 1316
% 14.13/5.26 #Tautology : 478
% 14.13/5.26 #SimpNegUnit : 275
% 14.13/5.26 #BackRed : 35
% 14.13/5.26
% 14.13/5.26 #Partial instantiations: 0
% 14.13/5.26 #Strategies tried : 1
% 14.13/5.26
% 14.13/5.26 Timing (in seconds)
% 14.13/5.26 ----------------------
% 14.13/5.26 Preprocessing : 0.77
% 14.13/5.26 Parsing : 0.40
% 14.13/5.26 CNF conversion : 0.07
% 14.13/5.26 Main loop : 3.31
% 14.13/5.26 Inferencing : 1.22
% 14.13/5.26 Reduction : 1.23
% 14.13/5.26 Demodulation : 0.87
% 14.13/5.26 BG Simplification : 0.08
% 14.13/5.26 Subsumption : 0.56
% 14.13/5.26 Abstraction : 0.05
% 14.13/5.26 MUC search : 0.00
% 14.13/5.26 Cooper : 0.00
% 14.13/5.26 Total : 4.15
% 14.13/5.26 Index Insertion : 0.00
% 14.13/5.26 Index Deletion : 0.00
% 14.13/5.26 Index Matching : 0.00
% 14.13/5.26 BG Taut test : 0.00
%------------------------------------------------------------------------------