TSTP Solution File: TOP026+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : TOP026+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 : n005.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 11:18:42 EDT 2023
% Result : Theorem 59.43s 43.11s
% Output : CNFRefutation 59.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 53
% Syntax : Number of formulae : 76 ( 10 unt; 48 typ; 0 def)
% Number of atoms : 85 ( 8 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 99 ( 42 ~; 38 |; 7 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 40 >; 13 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 8 con; 0-3 aty)
% Number of variables : 31 (; 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v4_pre_topc > v3_tops_1 > v3_pre_topc > v2_tops_1 > v1_tsp_2 > r2_hidden > r1_tarski > m1_subset_1 > v5_membered > v4_ordinal2 > v4_membered > v3_struct_0 > v3_membered > v2_pre_topc > v2_membered > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_rat_1 > v1_membered > v1_int_1 > l1_struct_0 > l1_pre_topc > k5_subset_1 > k6_pre_topc > k3_xboole_0 > k3_tex_4 > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_5 > #skF_18 > #skF_8 > #skF_10 > #skF_16 > #skF_15 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_4 > #skF_17 > #skF_11 > #skF_14 > #skF_12 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(v3_pre_topc,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(v1_int_1,type,
v1_int_1: $i > $o ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(v2_tops_1,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(l1_pre_topc,type,
l1_pre_topc: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(v3_tops_1,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff(k5_subset_1,type,
k5_subset_1: ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(k3_tex_4,type,
k3_tex_4: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(v1_tsp_2,type,
v1_tsp_2: ( $i * $i ) > $o ).
tff(v1_xreal_0,type,
v1_xreal_0: $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(v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(v2_pre_topc,type,
v2_pre_topc: $i > $o ).
tff(v1_rat_1,type,
v1_rat_1: $i > $o ).
tff(k3_xboole_0,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(u1_struct_0,type,
u1_struct_0: $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(k6_pre_topc,type,
k6_pre_topc: ( $i * $i ) > $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)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tsp_2) ).
tff(f_615,axiom,
! [A,B] :
( ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
tff(f_643,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
tff(f_630,axiom,
! [A,B] :
( ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> v4_pre_topc(k6_pre_topc(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
tff(f_662,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( v4_pre_topc(C,A)
=> ( C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_2) ).
tff(c_10,plain,
l1_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_4,plain,
m1_subset_1('#skF_3',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_5495,plain,
! [A_534,B_535] :
( m1_subset_1(k6_pre_topc(A_534,B_535),k1_zfmisc_1(u1_struct_0(A_534)))
| ~ m1_subset_1(B_535,k1_zfmisc_1(u1_struct_0(A_534)))
| ~ l1_pre_topc(A_534) ),
inference(cnfTransformation,[status(thm)],[f_615]) ).
tff(c_356,plain,
! [A_145,B_146] :
( r1_tarski(A_145,B_146)
| ~ m1_subset_1(A_145,k1_zfmisc_1(B_146)) ),
inference(cnfTransformation,[status(thm)],[f_643]) ).
tff(c_5646,plain,
! [A_534,B_535] :
( r1_tarski(k6_pre_topc(A_534,B_535),u1_struct_0(A_534))
| ~ m1_subset_1(B_535,k1_zfmisc_1(u1_struct_0(A_534)))
| ~ l1_pre_topc(A_534) ),
inference(resolution,[status(thm)],[c_5495,c_356]) ).
tff(c_12,plain,
v2_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_5153,plain,
! [A_506,B_507] :
( v4_pre_topc(k6_pre_topc(A_506,B_507),A_506)
| ~ m1_subset_1(B_507,k1_zfmisc_1(u1_struct_0(A_506)))
| ~ l1_pre_topc(A_506)
| ~ v2_pre_topc(A_506) ),
inference(cnfTransformation,[status(thm)],[f_630]) ).
tff(c_5182,plain,
( v4_pre_topc(k6_pre_topc('#skF_1','#skF_3'),'#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_5153]) ).
tff(c_5202,plain,
v4_pre_topc(k6_pre_topc('#skF_1','#skF_3'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_5182]) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_6,plain,
v1_tsp_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_8,plain,
m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_358,plain,
! [A_145,B_146] :
( m1_subset_1(A_145,k1_zfmisc_1(B_146))
| ~ r1_tarski(A_145,B_146) ),
inference(cnfTransformation,[status(thm)],[f_643]) ).
tff(c_8250,plain,
! [A_623,B_624,C_625] :
( ( k3_tex_4(A_623,k5_subset_1(u1_struct_0(A_623),B_624,C_625)) = C_625 )
| ~ v4_pre_topc(C_625,A_623)
| ~ m1_subset_1(C_625,k1_zfmisc_1(u1_struct_0(A_623)))
| ~ v1_tsp_2(B_624,A_623)
| ~ m1_subset_1(B_624,k1_zfmisc_1(u1_struct_0(A_623)))
| ~ l1_pre_topc(A_623)
| ~ v2_pre_topc(A_623)
| v3_struct_0(A_623) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_115669,plain,
! [A_1813,B_1814,A_1815] :
( ( k3_tex_4(A_1813,k5_subset_1(u1_struct_0(A_1813),B_1814,A_1815)) = A_1815 )
| ~ v4_pre_topc(A_1815,A_1813)
| ~ v1_tsp_2(B_1814,A_1813)
| ~ m1_subset_1(B_1814,k1_zfmisc_1(u1_struct_0(A_1813)))
| ~ l1_pre_topc(A_1813)
| ~ v2_pre_topc(A_1813)
| v3_struct_0(A_1813)
| ~ r1_tarski(A_1815,u1_struct_0(A_1813)) ),
inference(resolution,[status(thm)],[c_358,c_8250]) ).
tff(c_115802,plain,
! [A_1815] :
( ( k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',A_1815)) = A_1815 )
| ~ v4_pre_topc(A_1815,'#skF_1')
| ~ v1_tsp_2('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1')
| ~ r1_tarski(A_1815,u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_8,c_115669]) ).
tff(c_115989,plain,
! [A_1815] :
( ( k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',A_1815)) = A_1815 )
| ~ v4_pre_topc(A_1815,'#skF_1')
| v3_struct_0('#skF_1')
| ~ r1_tarski(A_1815,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6,c_115802]) ).
tff(c_119843,plain,
! [A_1835] :
( ( k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',A_1835)) = A_1835 )
| ~ v4_pre_topc(A_1835,'#skF_1')
| ~ r1_tarski(A_1835,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_115989]) ).
tff(c_2,plain,
k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',k6_pre_topc('#skF_1','#skF_3'))) != k6_pre_topc('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_119954,plain,
( ~ v4_pre_topc(k6_pre_topc('#skF_1','#skF_3'),'#skF_1')
| ~ r1_tarski(k6_pre_topc('#skF_1','#skF_3'),u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_119843,c_2]) ).
tff(c_120207,plain,
~ r1_tarski(k6_pre_topc('#skF_1','#skF_3'),u1_struct_0('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_5202,c_119954]) ).
tff(c_120303,plain,
( ~ m1_subset_1('#skF_3',k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_5646,c_120207]) ).
tff(c_120307,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_4,c_120303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:39:56 EDT 2023
% 0.15/0.37 % CPUTime :
% 59.43/43.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.43/43.11
% 59.43/43.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 59.63/43.15
% 59.63/43.15 Inference rules
% 59.63/43.15 ----------------------
% 59.63/43.15 #Ref : 0
% 59.63/43.15 #Sup : 25591
% 59.63/43.15 #Fact : 0
% 59.63/43.15 #Define : 0
% 59.63/43.15 #Split : 159
% 59.63/43.15 #Chain : 0
% 59.63/43.15 #Close : 0
% 59.63/43.15
% 59.63/43.15 Ordering : KBO
% 59.63/43.15
% 59.63/43.15 Simplification rules
% 59.63/43.15 ----------------------
% 59.63/43.15 #Subsume : 11317
% 59.63/43.15 #Demod : 31393
% 59.63/43.15 #Tautology : 4014
% 59.63/43.15 #SimpNegUnit : 2314
% 59.63/43.15 #BackRed : 21
% 59.63/43.15
% 59.63/43.15 #Partial instantiations: 0
% 59.63/43.15 #Strategies tried : 1
% 59.63/43.15
% 59.63/43.15 Timing (in seconds)
% 59.63/43.15 ----------------------
% 59.63/43.15 Preprocessing : 0.75
% 59.63/43.15 Parsing : 0.40
% 59.63/43.15 CNF conversion : 0.06
% 59.63/43.16 Main loop : 41.24
% 59.63/43.16 Inferencing : 6.52
% 59.63/43.16 Reduction : 23.06
% 59.63/43.16 Demodulation : 19.36
% 59.63/43.16 BG Simplification : 0.17
% 59.63/43.16 Subsumption : 9.97
% 59.63/43.16 Abstraction : 0.30
% 59.65/43.16 MUC search : 0.00
% 59.65/43.16 Cooper : 0.00
% 59.65/43.16 Total : 42.04
% 59.65/43.16 Index Insertion : 0.00
% 59.65/43.16 Index Deletion : 0.00
% 59.65/43.16 Index Matching : 0.00
% 59.65/43.16 BG Taut test : 0.00
%------------------------------------------------------------------------------