TSTP Solution File: GRP644+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP644+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 : n021.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 6.41s 2.52s
% Output : CNFRefutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 49
% Syntax : Number of formulae : 76 ( 16 unt; 45 typ; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 144 ( 60 ~; 56 |; 15 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 57 ( 36 >; 21 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-2 aty)
% Number of variables : 22 (; 22 !; 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 > k3_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_15 > #skF_8 > #skF_13 > #skF_16 > #skF_5 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_4 > #skF_17 > #skF_11 > #skF_14 > #skF_7 > #skF_9 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
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(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
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_8',type,
'#skF_8': $i > $i ).
tff(k3_group_1,type,
k3_group_1: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $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_5',type,
'#skF_5': $i ).
tff(v1_funct_2,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
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(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('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(m1_group_2,type,
m1_group_2: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v4_group_1,type,
v4_group_1: $i > $o ).
tff(g1_group_1,type,
g1_group_1: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
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(l1_group_1,type,
l1_group_1: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_51,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))
=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))
=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
tff(f_333,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/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
tff(f_379,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_group_2(C,A)
=> ( r1_rlvect_1(C,B)
=> r1_rlvect_1(C,k3_group_1(A,B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_group_2) ).
tff(f_153,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
tff(c_18,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_16,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_14,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_12,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_6,plain,
m1_subset_1('#skF_3',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_8,plain,
m1_group_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_10,plain,
v1_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_4,plain,
r2_hidden('#skF_3',k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1434,plain,
! [B_386,C_387,A_388] :
( r1_rlvect_1(B_386,C_387)
| ~ r2_hidden(C_387,k1_funct_1(k1_latsubgr(A_388),B_386))
| ~ m1_subset_1(C_387,u1_struct_0(A_388))
| ~ m1_group_2(B_386,A_388)
| ~ v1_group_1(B_386)
| ~ l1_group_1(A_388)
| ~ v4_group_1(A_388)
| ~ v3_group_1(A_388)
| v3_struct_0(A_388) ),
inference(cnfTransformation,[status(thm)],[f_333]) ).
tff(c_1441,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_4,c_1434]) ).
tff(c_1445,plain,
( r1_rlvect_1('#skF_2','#skF_3')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_8,c_6,c_1441]) ).
tff(c_1446,plain,
r1_rlvect_1('#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_18,c_1445]) ).
tff(c_172,plain,
! [C_98,A_92,B_96] :
( r1_rlvect_1(C_98,k3_group_1(A_92,B_96))
| ~ r1_rlvect_1(C_98,B_96)
| ~ m1_group_2(C_98,A_92)
| ~ m1_subset_1(B_96,u1_struct_0(A_92))
| ~ l1_group_1(A_92)
| ~ v4_group_1(A_92)
| ~ v3_group_1(A_92)
| v3_struct_0(A_92) ),
inference(cnfTransformation,[status(thm)],[f_379]) ).
tff(c_64,plain,
! [A_25,B_26] :
( m1_subset_1(k3_group_1(A_25,B_26),u1_struct_0(A_25))
| ~ m1_subset_1(B_26,u1_struct_0(A_25))
| ~ l1_group_1(A_25)
| ~ v4_group_1(A_25)
| ~ v3_group_1(A_25)
| v3_struct_0(A_25) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_1463,plain,
! [C_394,A_395,B_396] :
( r2_hidden(C_394,k1_funct_1(k1_latsubgr(A_395),B_396))
| ~ r1_rlvect_1(B_396,C_394)
| ~ m1_subset_1(C_394,u1_struct_0(A_395))
| ~ m1_group_2(B_396,A_395)
| ~ v1_group_1(B_396)
| ~ l1_group_1(A_395)
| ~ v4_group_1(A_395)
| ~ v3_group_1(A_395)
| v3_struct_0(A_395) ),
inference(cnfTransformation,[status(thm)],[f_333]) ).
tff(c_2,plain,
~ r2_hidden(k3_group_1('#skF_1','#skF_3'),k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2')),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1481,plain,
( ~ r1_rlvect_1('#skF_2',k3_group_1('#skF_1','#skF_3'))
| ~ m1_subset_1(k3_group_1('#skF_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_1463,c_2]) ).
tff(c_1495,plain,
( ~ r1_rlvect_1('#skF_2',k3_group_1('#skF_1','#skF_3'))
| ~ m1_subset_1(k3_group_1('#skF_1','#skF_3'),u1_struct_0('#skF_1'))
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_10,c_8,c_1481]) ).
tff(c_1496,plain,
( ~ r1_rlvect_1('#skF_2',k3_group_1('#skF_1','#skF_3'))
| ~ m1_subset_1(k3_group_1('#skF_1','#skF_3'),u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_18,c_1495]) ).
tff(c_1499,plain,
~ m1_subset_1(k3_group_1('#skF_1','#skF_3'),u1_struct_0('#skF_1')),
inference(splitLeft,[status(thm)],[c_1496]) ).
tff(c_1505,plain,
( ~ 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_64,c_1499]) ).
tff(c_1511,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_6,c_1505]) ).
tff(c_1513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_1511]) ).
tff(c_1514,plain,
~ r1_rlvect_1('#skF_2',k3_group_1('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_1496]) ).
tff(c_1518,plain,
( ~ r1_rlvect_1('#skF_2','#skF_3')
| ~ m1_group_2('#skF_2','#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_172,c_1514]) ).
tff(c_1521,plain,
v3_struct_0('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_12,c_6,c_8,c_1446,c_1518]) ).
tff(c_1523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_1521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP644+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
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 21:56:51 EDT 2023
% 0.19/0.34 % CPUTime :
% 6.41/2.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.41/2.53
% 6.41/2.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.41/2.57
% 6.41/2.57 Inference rules
% 6.41/2.57 ----------------------
% 6.41/2.57 #Ref : 2
% 6.41/2.57 #Sup : 286
% 6.41/2.57 #Fact : 0
% 6.41/2.57 #Define : 0
% 6.41/2.57 #Split : 6
% 6.41/2.57 #Chain : 0
% 6.41/2.57 #Close : 0
% 6.41/2.57
% 6.41/2.57 Ordering : KBO
% 6.41/2.57
% 6.41/2.57 Simplification rules
% 6.41/2.57 ----------------------
% 6.41/2.57 #Subsume : 87
% 6.41/2.57 #Demod : 57
% 6.41/2.57 #Tautology : 54
% 6.41/2.57 #SimpNegUnit : 53
% 6.41/2.57 #BackRed : 4
% 6.41/2.57
% 6.41/2.57 #Partial instantiations: 0
% 6.41/2.57 #Strategies tried : 1
% 6.41/2.57
% 6.41/2.57 Timing (in seconds)
% 6.41/2.57 ----------------------
% 6.41/2.57 Preprocessing : 0.64
% 6.41/2.58 Parsing : 0.35
% 6.41/2.58 CNF conversion : 0.05
% 6.41/2.58 Main loop : 0.81
% 6.41/2.58 Inferencing : 0.30
% 6.41/2.58 Reduction : 0.25
% 6.41/2.58 Demodulation : 0.17
% 6.41/2.58 BG Simplification : 0.04
% 6.41/2.58 Subsumption : 0.17
% 6.41/2.58 Abstraction : 0.02
% 6.41/2.58 MUC search : 0.00
% 6.41/2.58 Cooper : 0.00
% 6.41/2.58 Total : 1.52
% 6.41/2.58 Index Insertion : 0.00
% 6.41/2.58 Index Deletion : 0.00
% 6.41/2.58 Index Matching : 0.00
% 6.41/2.58 BG Taut test : 0.00
%------------------------------------------------------------------------------