TSTP Solution File: GRP642+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP642+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 : 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 10:41:46 EDT 2023
% Result : Theorem 10.12s 3.50s
% Output : CNFRefutation 10.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 51
% Syntax : Number of formulae : 87 ( 17 unt; 43 typ; 0 def)
% Number of atoms : 148 ( 15 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 177 ( 73 ~; 72 |; 20 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 35 >; 20 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 8 con; 0-2 aty)
% Number of variables : 30 (; 29 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > v1_funct_2 > m2_relset_1 > m1_relset_1 > r2_hidden > r1_tarski > 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 > 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_3 > #skF_13 > #skF_16 > #skF_5 > #skF_2 > #skF_10 > #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('#skF_3',type,
'#skF_3': ( $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(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(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_47,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) )
=> ( k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsubgr) ).
tff(f_182,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( m1_group_2(B,A)
=> ( ~ v3_struct_0(B)
& v3_group_1(B)
& l1_group_1(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
tff(f_165,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
tff(f_283,axiom,
? [A] : v1_xboole_0(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_161,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ( v1_funct_1(k1_latsubgr(A))
& v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
tff(f_135,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)))
& m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) )
=> ( ( B = k1_latsubgr(A) )
<=> ! [C] :
( ( v1_group_1(C)
& m1_group_2(C,A) )
=> ( k1_funct_1(B,C) = u1_struct_0(C) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
tff(f_351,axiom,
! [A] :
( v1_xboole_0(A)
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
tff(f_237,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_12,plain,
v3_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_8,plain,
l1_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_4,plain,
m1_group_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_556,plain,
! [B_217,A_218] :
( l1_group_1(B_217)
| ~ m1_group_2(B_217,A_218)
| ~ l1_group_1(A_218)
| ~ v3_group_1(A_218)
| v3_struct_0(A_218) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_562,plain,
( l1_group_1('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_556]) ).
tff(c_566,plain,
( l1_group_1('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_562]) ).
tff(c_567,plain,
l1_group_1('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_566]) ).
tff(c_68,plain,
! [A_32] :
( l1_struct_0(A_32)
| ~ l1_group_1(A_32) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_597,plain,
! [B_230,A_231] :
( ~ v3_struct_0(B_230)
| ~ m1_group_2(B_230,A_231)
| ~ l1_group_1(A_231)
| ~ v3_group_1(A_231)
| v3_struct_0(A_231) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_603,plain,
( ~ v3_struct_0('#skF_2')
| ~ l1_group_1('#skF_1')
| ~ v3_group_1('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_597]) ).
tff(c_607,plain,
( ~ v3_struct_0('#skF_2')
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_603]) ).
tff(c_608,plain,
~ v3_struct_0('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_14,c_607]) ).
tff(c_130,plain,
v1_xboole_0('#skF_12'),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_10,plain,
v4_group_1('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_6,plain,
v1_group_1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_60,plain,
! [A_31] :
( v1_funct_1(k1_latsubgr(A_31))
| ~ l1_group_1(A_31)
| ~ v4_group_1(A_31)
| ~ v3_group_1(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_56,plain,
! [A_31] :
( m2_relset_1(k1_latsubgr(A_31),k1_group_3(A_31),k1_zfmisc_1(u1_struct_0(A_31)))
| ~ l1_group_1(A_31)
| ~ v4_group_1(A_31)
| ~ v3_group_1(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_58,plain,
! [A_31] :
( v1_funct_2(k1_latsubgr(A_31),k1_group_3(A_31),k1_zfmisc_1(u1_struct_0(A_31)))
| ~ l1_group_1(A_31)
| ~ v4_group_1(A_31)
| ~ v3_group_1(A_31)
| v3_struct_0(A_31) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_1267,plain,
! [A_353,C_354] :
( ( k1_funct_1(k1_latsubgr(A_353),C_354) = u1_struct_0(C_354) )
| ~ m1_group_2(C_354,A_353)
| ~ v1_group_1(C_354)
| ~ m2_relset_1(k1_latsubgr(A_353),k1_group_3(A_353),k1_zfmisc_1(u1_struct_0(A_353)))
| ~ v1_funct_2(k1_latsubgr(A_353),k1_group_3(A_353),k1_zfmisc_1(u1_struct_0(A_353)))
| ~ v1_funct_1(k1_latsubgr(A_353))
| ~ l1_group_1(A_353)
| ~ v4_group_1(A_353)
| ~ v3_group_1(A_353)
| v3_struct_0(A_353) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_2361,plain,
! [A_449,C_450] :
( ( k1_funct_1(k1_latsubgr(A_449),C_450) = u1_struct_0(C_450) )
| ~ m1_group_2(C_450,A_449)
| ~ v1_group_1(C_450)
| ~ m2_relset_1(k1_latsubgr(A_449),k1_group_3(A_449),k1_zfmisc_1(u1_struct_0(A_449)))
| ~ v1_funct_1(k1_latsubgr(A_449))
| ~ l1_group_1(A_449)
| ~ v4_group_1(A_449)
| ~ v3_group_1(A_449)
| v3_struct_0(A_449) ),
inference(resolution,[status(thm)],[c_58,c_1267]) ).
tff(c_2966,plain,
! [A_521,C_522] :
( ( k1_funct_1(k1_latsubgr(A_521),C_522) = u1_struct_0(C_522) )
| ~ m1_group_2(C_522,A_521)
| ~ v1_group_1(C_522)
| ~ v1_funct_1(k1_latsubgr(A_521))
| ~ l1_group_1(A_521)
| ~ v4_group_1(A_521)
| ~ v3_group_1(A_521)
| v3_struct_0(A_521) ),
inference(resolution,[status(thm)],[c_56,c_2361]) ).
tff(c_5902,plain,
! [A_595,C_596] :
( ( k1_funct_1(k1_latsubgr(A_595),C_596) = u1_struct_0(C_596) )
| ~ m1_group_2(C_596,A_595)
| ~ v1_group_1(C_596)
| ~ l1_group_1(A_595)
| ~ v4_group_1(A_595)
| ~ v3_group_1(A_595)
| v3_struct_0(A_595) ),
inference(resolution,[status(thm)],[c_60,c_2966]) ).
tff(c_186,plain,
! [A_105] :
( ( k1_xboole_0 = A_105 )
| ~ v1_xboole_0(A_105) ),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_197,plain,
k1_xboole_0 = '#skF_12',
inference(resolution,[status(thm)],[c_130,c_186]) ).
tff(c_2,plain,
k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2') = k1_xboole_0,
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_201,plain,
k1_funct_1(k1_latsubgr('#skF_1'),'#skF_2') = '#skF_12',
inference(demodulation,[status(thm),theory(equality)],[c_197,c_2]) ).
tff(c_5911,plain,
( ( u1_struct_0('#skF_2') = '#skF_12' )
| ~ 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(superposition,[status(thm),theory(equality)],[c_5902,c_201]) ).
tff(c_5921,plain,
( ( u1_struct_0('#skF_2') = '#skF_12' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_8,c_6,c_4,c_5911]) ).
tff(c_5922,plain,
u1_struct_0('#skF_2') = '#skF_12',
inference(negUnitSimplification,[status(thm)],[c_14,c_5921]) ).
tff(c_106,plain,
! [A_51] :
( ~ v1_xboole_0(u1_struct_0(A_51))
| ~ l1_struct_0(A_51)
| v3_struct_0(A_51) ),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_6034,plain,
( ~ v1_xboole_0('#skF_12')
| ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_5922,c_106]) ).
tff(c_6110,plain,
( ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_6034]) ).
tff(c_6111,plain,
~ l1_struct_0('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_608,c_6110]) ).
tff(c_6115,plain,
~ l1_group_1('#skF_2'),
inference(resolution,[status(thm)],[c_68,c_6111]) ).
tff(c_6119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_567,c_6115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% 0.16/0.16 % 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
% 0.16/0.36 % Computer : n010.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 21:53:43 EDT 2023
% 0.16/0.36 % CPUTime :
% 10.12/3.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.12/3.50
% 10.12/3.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.12/3.53
% 10.12/3.53 Inference rules
% 10.12/3.53 ----------------------
% 10.12/3.53 #Ref : 6
% 10.12/3.53 #Sup : 1514
% 10.12/3.53 #Fact : 0
% 10.12/3.53 #Define : 0
% 10.12/3.53 #Split : 9
% 10.12/3.53 #Chain : 0
% 10.12/3.53 #Close : 0
% 10.12/3.53
% 10.12/3.53 Ordering : KBO
% 10.12/3.53
% 10.12/3.53 Simplification rules
% 10.12/3.53 ----------------------
% 10.12/3.53 #Subsume : 1090
% 10.12/3.53 #Demod : 338
% 10.12/3.53 #Tautology : 138
% 10.12/3.53 #SimpNegUnit : 385
% 10.12/3.53 #BackRed : 183
% 10.12/3.53
% 10.12/3.53 #Partial instantiations: 0
% 10.12/3.53 #Strategies tried : 1
% 10.12/3.53
% 10.12/3.53 Timing (in seconds)
% 10.12/3.53 ----------------------
% 10.12/3.54 Preprocessing : 0.71
% 10.12/3.54 Parsing : 0.40
% 10.12/3.54 CNF conversion : 0.05
% 10.12/3.54 Main loop : 1.67
% 10.12/3.54 Inferencing : 0.57
% 10.12/3.54 Reduction : 0.55
% 10.12/3.54 Demodulation : 0.38
% 10.12/3.54 BG Simplification : 0.05
% 10.12/3.54 Subsumption : 0.41
% 10.12/3.54 Abstraction : 0.05
% 10.12/3.54 MUC search : 0.00
% 10.12/3.54 Cooper : 0.00
% 10.12/3.54 Total : 2.44
% 10.12/3.54 Index Insertion : 0.00
% 10.12/3.54 Index Deletion : 0.00
% 10.12/3.54 Index Matching : 0.00
% 10.12/3.54 BG Taut test : 0.00
%------------------------------------------------------------------------------