TSTP Solution File: GRP643+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP643+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 : n032.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 10:41:46 EDT 2023
% Result : Theorem 6.85s 2.52s
% Output : CNFRefutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 50
% Syntax : Number of formulae : 82 ( 19 unt; 46 typ; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 165 ( 68 ~; 66 |; 16 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 58 ( 36 >; 22 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-3 aty)
% Number of variables : 27 (; 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > r2_hidden > r1_tarski > r1_rlvect_1 > m1_subset_1 > m1_group_2 > v4_group_1 > v3_struct_0 > v3_group_1 > v1_xboole_0 > v1_relat_1 > v1_group_1 > v1_funct_1 > l1_struct_0 > l1_group_1 > k1_group_1 > k2_zfmisc_1 > k1_funct_1 > g1_group_1 > #nlpp > u1_struct_0 > u1_group_1 > k1_zfmisc_1 > k1_latsubgr > k1_group_3 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_11 > #skF_18 > #skF_17 > #skF_16 > #skF_14 > #skF_15 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_8 > #skF_4 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(v3_group_1,type,
v3_group_1: $i > $o ).
tff(u1_group_1,type,
u1_group_1: $i > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(v1_group_1,type,
v1_group_1: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(k1_group_3,type,
k1_group_3: $i > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(k1_latsubgr,type,
k1_latsubgr: $i > $i ).
tff(r1_rlvect_1,type,
r1_rlvect_1: ( $i * $i ) > $o ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(k1_funct_1,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(m1_group_2,type,
m1_group_2: ( $i * $i ) > $o ).
tff(k1_group_1,type,
k1_group_1: ( $i * $i * $i ) > $i ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(g1_group_1,type,
g1_group_1: ( $i * $i ) > $i ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff(l1_group_1,type,
l1_group_1: $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_56,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
& r2_hidden(D,k1_funct_1(k1_latsubgr(A),B)) )
=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_latsubgr) ).
tff(f_336,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
<=> r1_rlvect_1(B,C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_latsubgr) ).
tff(f_380,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_group_2(D,A)
=> ( ( r1_rlvect_1(D,B)
& r1_rlvect_1(D,C) )
=> r1_rlvect_1(D,k1_group_1(A,B,C)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_group_2) ).
tff(f_141,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_group_1(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).
tff(c_22,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_20,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_18,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_16,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_10,plain,
m1_subset_1('#skF_3',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_8,plain,
m1_subset_1('#skF_4',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_12,plain,
m1_group_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_14,plain,
v1_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_6,plain,
r2_hidden('#skF_3',k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1577,plain,
! [B_413,C_414,A_415] :
( r1_rlvect_1(B_413,C_414)
| ~ r2_hidden(C_414,k1_funct_1(k1_latsubgr(A_415),B_413))
| ~ m1_subset_1(C_414,u1_struct_0(A_415))
| ~ m1_group_2(B_413,A_415)
| ~ v1_group_1(B_413)
| ~ l1_group_1(A_415)
| ~ v4_group_1(A_415)
| ~ v3_group_1(A_415)
| v3_struct_0(A_415) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_1590,plain,
( r1_rlvect_1('#skF_2','#skF_3')
| ~ m1_subset_1('#skF_3',u1_struct_0('#skF_1'))
| ~ m1_group_2('#skF_2','#skF_1')
| ~ v1_group_1('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_1577]) ).
tff(c_1599,plain,
( r1_rlvect_1('#skF_2','#skF_3')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_12,c_10,c_1590]) ).
tff(c_1600,plain,
r1_rlvect_1('#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_22,c_1599]) ).
tff(c_4,plain,
r2_hidden('#skF_4',k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1587,plain,
( r1_rlvect_1('#skF_2','#skF_4')
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_group_2('#skF_2','#skF_1')
| ~ v1_group_1('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_1577]) ).
tff(c_1595,plain,
( r1_rlvect_1('#skF_2','#skF_4')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_12,c_8,c_1587]) ).
tff(c_1596,plain,
r1_rlvect_1('#skF_2','#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_22,c_1595]) ).
tff(c_1686,plain,
! [D_431,A_432,B_433,C_434] :
( r1_rlvect_1(D_431,k1_group_1(A_432,B_433,C_434))
| ~ r1_rlvect_1(D_431,C_434)
| ~ r1_rlvect_1(D_431,B_433)
| ~ m1_group_2(D_431,A_432)
| ~ m1_subset_1(C_434,u1_struct_0(A_432))
| ~ m1_subset_1(B_433,u1_struct_0(A_432))
| ~ l1_group_1(A_432)
| ~ v4_group_1(A_432)
| ~ v3_group_1(A_432)
| v3_struct_0(A_432) ),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_54,plain,
! [A_31,B_32,C_33] :
( m1_subset_1(k1_group_1(A_31,B_32,C_33),u1_struct_0(A_31))
| ~ m1_subset_1(C_33,u1_struct_0(A_31))
| ~ m1_subset_1(B_32,u1_struct_0(A_31))
| ~ l1_group_1(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_1517,plain,
! [C_410,A_411,B_412] :
( r2_hidden(C_410,k1_funct_1(k1_latsubgr(A_411),B_412))
| ~ r1_rlvect_1(B_412,C_410)
| ~ m1_subset_1(C_410,u1_struct_0(A_411))
| ~ m1_group_2(B_412,A_411)
| ~ v1_group_1(B_412)
| ~ l1_group_1(A_411)
| ~ v4_group_1(A_411)
| ~ v3_group_1(A_411)
| v3_struct_0(A_411) ),
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_2,plain,
~ r2_hidden(k1_group_1('#skF_1','#skF_3','#skF_4'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1529,plain,
( ~ r1_rlvect_1('#skF_2',k1_group_1('#skF_1','#skF_3','#skF_4'))
| ~ m1_subset_1(k1_group_1('#skF_1','#skF_3','#skF_4'),u1_struct_0('#skF_1'))
| ~ m1_group_2('#skF_2','#skF_1')
| ~ v1_group_1('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1517,c_2]) ).
tff(c_1544,plain,
( ~ r1_rlvect_1('#skF_2',k1_group_1('#skF_1','#skF_3','#skF_4'))
| ~ m1_subset_1(k1_group_1('#skF_1','#skF_3','#skF_4'),u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_14,c_12,c_1529]) ).
tff(c_1545,plain,
( ~ r1_rlvect_1('#skF_2',k1_group_1('#skF_1','#skF_3','#skF_4'))
| ~ m1_subset_1(k1_group_1('#skF_1','#skF_3','#skF_4'),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_22,c_1544]) ).
tff(c_1549,plain,
~ m1_subset_1(k1_group_1('#skF_1','#skF_3','#skF_4'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_1545]) ).
tff(c_1555,plain,
( ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_3',u1_struct_0('#skF_1'))
| ~ l1_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_54,c_1549]) ).
tff(c_1561,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_10,c_8,c_1555]) ).
tff(c_1563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_1561]) ).
tff(c_1564,plain,
~ r1_rlvect_1('#skF_2',k1_group_1('#skF_1','#skF_3','#skF_4')),
inference(splitRight,[status(thm)],[c_1545]) ).
tff(c_1689,plain,
( ~ r1_rlvect_1('#skF_2','#skF_4')
| ~ r1_rlvect_1('#skF_2','#skF_3')
| ~ m1_group_2('#skF_2','#skF_1')
| ~ m1_subset_1('#skF_4',u1_struct_0('#skF_1'))
| ~ m1_subset_1('#skF_3',u1_struct_0('#skF_1'))
| ~ l1_group_1('#skF_1')
| ~ v4_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_1686,c_1564]) ).
tff(c_1692,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_16,c_10,c_8,c_12,c_1600,c_1596,c_1689]) ).
tff(c_1694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_1692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 3 22:08:36 EDT 2023
% 0.15/0.31 % CPUTime :
% 6.85/2.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.85/2.52
% 6.85/2.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.85/2.56
% 6.85/2.56 Inference rules
% 6.85/2.56 ----------------------
% 6.85/2.56 #Ref : 2
% 6.85/2.56 #Sup : 323
% 6.85/2.56 #Fact : 0
% 6.85/2.56 #Define : 0
% 6.85/2.56 #Split : 9
% 6.85/2.56 #Chain : 0
% 6.85/2.56 #Close : 0
% 6.85/2.56
% 6.85/2.56 Ordering : KBO
% 6.85/2.56
% 6.85/2.56 Simplification rules
% 6.85/2.56 ----------------------
% 6.85/2.56 #Subsume : 101
% 6.85/2.56 #Demod : 65
% 6.85/2.56 #Tautology : 55
% 6.85/2.56 #SimpNegUnit : 66
% 6.85/2.56 #BackRed : 4
% 6.85/2.56
% 6.85/2.56 #Partial instantiations: 0
% 6.85/2.56 #Strategies tried : 1
% 6.85/2.56
% 6.85/2.56 Timing (in seconds)
% 6.85/2.56 ----------------------
% 6.85/2.56 Preprocessing : 0.62
% 6.85/2.56 Parsing : 0.34
% 6.85/2.56 CNF conversion : 0.06
% 6.85/2.56 Main loop : 0.87
% 6.85/2.56 Inferencing : 0.33
% 6.85/2.56 Reduction : 0.26
% 6.85/2.56 Demodulation : 0.17
% 6.85/2.56 BG Simplification : 0.04
% 6.85/2.56 Subsumption : 0.18
% 6.85/2.56 Abstraction : 0.03
% 6.85/2.57 MUC search : 0.00
% 6.85/2.57 Cooper : 0.00
% 6.85/2.57 Total : 1.55
% 6.85/2.57 Index Insertion : 0.00
% 6.85/2.57 Index Deletion : 0.00
% 6.85/2.57 Index Matching : 0.00
% 6.85/2.57 BG Taut test : 0.00
%------------------------------------------------------------------------------