TSTP Solution File: TOP027+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : TOP027+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 : n026.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 95.03s 77.02s
% Output : CNFRefutation 95.03s
% 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 > k3_xboole_0 > k3_tex_4 > k1_tops_1 > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_5 > #skF_18 > #skF_11 > #skF_8 > #skF_16 > #skF_15 > #skF_14 > #skF_10 > #skF_2 > #skF_3 > #skF_1 > #skF_13 > #skF_4 > #skF_17 > #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('#skF_11',type,
'#skF_11': $i ).
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_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_14',type,
'#skF_14': $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(k1_tops_1,type,
k1_tops_1: ( $i * $i ) > $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_13',type,
'#skF_13': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $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(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)))
=> ( k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).
tff(f_620,axiom,
! [A,B] :
( ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).
tff(f_663,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_650,axiom,
! [A,B] :
( ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> v3_pre_topc(k1_tops_1(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).
tff(f_682,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)))
=> ( v3_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',t6_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_5576,plain,
! [A_532,B_533] :
( m1_subset_1(k1_tops_1(A_532,B_533),k1_zfmisc_1(u1_struct_0(A_532)))
| ~ m1_subset_1(B_533,k1_zfmisc_1(u1_struct_0(A_532)))
| ~ l1_pre_topc(A_532) ),
inference(cnfTransformation,[status(thm)],[f_620]) ).
tff(c_370,plain,
! [A_147,B_148] :
( r1_tarski(A_147,B_148)
| ~ m1_subset_1(A_147,k1_zfmisc_1(B_148)) ),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_5724,plain,
! [A_532,B_533] :
( r1_tarski(k1_tops_1(A_532,B_533),u1_struct_0(A_532))
| ~ m1_subset_1(B_533,k1_zfmisc_1(u1_struct_0(A_532)))
| ~ l1_pre_topc(A_532) ),
inference(resolution,[status(thm)],[c_5576,c_370]) ).
tff(c_12,plain,
v2_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_6212,plain,
! [A_561,B_562] :
( v3_pre_topc(k1_tops_1(A_561,B_562),A_561)
| ~ m1_subset_1(B_562,k1_zfmisc_1(u1_struct_0(A_561)))
| ~ l1_pre_topc(A_561)
| ~ v2_pre_topc(A_561) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_6243,plain,
( v3_pre_topc(k1_tops_1('#skF_1','#skF_3'),'#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_6212]) ).
tff(c_6264,plain,
v3_pre_topc(k1_tops_1('#skF_1','#skF_3'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6243]) ).
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_372,plain,
! [A_147,B_148] :
( m1_subset_1(A_147,k1_zfmisc_1(B_148))
| ~ r1_tarski(A_147,B_148) ),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_8967,plain,
! [A_650,B_651,C_652] :
( ( k3_tex_4(A_650,k5_subset_1(u1_struct_0(A_650),B_651,C_652)) = C_652 )
| ~ v3_pre_topc(C_652,A_650)
| ~ m1_subset_1(C_652,k1_zfmisc_1(u1_struct_0(A_650)))
| ~ v1_tsp_2(B_651,A_650)
| ~ m1_subset_1(B_651,k1_zfmisc_1(u1_struct_0(A_650)))
| ~ l1_pre_topc(A_650)
| ~ v2_pre_topc(A_650)
| v3_struct_0(A_650) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_169494,plain,
! [A_2125,B_2126,A_2127] :
( ( k3_tex_4(A_2125,k5_subset_1(u1_struct_0(A_2125),B_2126,A_2127)) = A_2127 )
| ~ v3_pre_topc(A_2127,A_2125)
| ~ v1_tsp_2(B_2126,A_2125)
| ~ m1_subset_1(B_2126,k1_zfmisc_1(u1_struct_0(A_2125)))
| ~ l1_pre_topc(A_2125)
| ~ v2_pre_topc(A_2125)
| v3_struct_0(A_2125)
| ~ r1_tarski(A_2127,u1_struct_0(A_2125)) ),
inference(resolution,[status(thm)],[c_372,c_8967]) ).
tff(c_169643,plain,
! [A_2127] :
( ( k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',A_2127)) = A_2127 )
| ~ v3_pre_topc(A_2127,'#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_2127,u1_struct_0('#skF_1')) ),
inference(resolution,[status(thm)],[c_8,c_169494]) ).
tff(c_169852,plain,
! [A_2127] :
( ( k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',A_2127)) = A_2127 )
| ~ v3_pre_topc(A_2127,'#skF_1')
| v3_struct_0('#skF_1')
| ~ r1_tarski(A_2127,u1_struct_0('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6,c_169643]) ).
tff(c_169859,plain,
! [A_2128] :
( ( k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',A_2128)) = A_2128 )
| ~ v3_pre_topc(A_2128,'#skF_1')
| ~ r1_tarski(A_2128,u1_struct_0('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_169852]) ).
tff(c_2,plain,
k3_tex_4('#skF_1',k5_subset_1(u1_struct_0('#skF_1'),'#skF_2',k1_tops_1('#skF_1','#skF_3'))) != k1_tops_1('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_169973,plain,
( ~ v3_pre_topc(k1_tops_1('#skF_1','#skF_3'),'#skF_1')
| ~ r1_tarski(k1_tops_1('#skF_1','#skF_3'),u1_struct_0('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_169859,c_2]) ).
tff(c_170273,plain,
~ r1_tarski(k1_tops_1('#skF_1','#skF_3'),u1_struct_0('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_6264,c_169973]) ).
tff(c_170386,plain,
( ~ m1_subset_1('#skF_3',k1_zfmisc_1(u1_struct_0('#skF_1')))
| ~ l1_pre_topc('#skF_1') ),
inference(resolution,[status(thm)],[c_5724,c_170273]) ).
tff(c_170390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_4,c_170386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP027+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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:59:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 95.03/77.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.03/77.02
% 95.03/77.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 95.03/77.06
% 95.03/77.06 Inference rules
% 95.03/77.06 ----------------------
% 95.03/77.06 #Ref : 0
% 95.03/77.06 #Sup : 35936
% 95.03/77.06 #Fact : 0
% 95.03/77.06 #Define : 0
% 95.03/77.06 #Split : 244
% 95.03/77.06 #Chain : 0
% 95.03/77.06 #Close : 0
% 95.03/77.06
% 95.03/77.06 Ordering : KBO
% 95.03/77.06
% 95.03/77.06 Simplification rules
% 95.03/77.06 ----------------------
% 95.03/77.06 #Subsume : 15882
% 95.03/77.06 #Demod : 48369
% 95.03/77.06 #Tautology : 5472
% 95.03/77.06 #SimpNegUnit : 2927
% 95.03/77.06 #BackRed : 38
% 95.03/77.06
% 95.03/77.06 #Partial instantiations: 0
% 95.03/77.06 #Strategies tried : 1
% 95.03/77.06
% 95.03/77.06 Timing (in seconds)
% 95.03/77.06 ----------------------
% 95.03/77.06 Preprocessing : 0.82
% 95.03/77.06 Parsing : 0.42
% 95.03/77.06 CNF conversion : 0.08
% 95.03/77.06 Main loop : 75.16
% 95.03/77.06 Inferencing : 9.61
% 95.03/77.06 Reduction : 43.97
% 95.03/77.06 Demodulation : 36.99
% 95.03/77.06 BG Simplification : 0.24
% 95.03/77.06 Subsumption : 18.24
% 95.03/77.06 Abstraction : 0.43
% 95.03/77.06 MUC search : 0.00
% 95.03/77.06 Cooper : 0.00
% 95.03/77.06 Total : 76.03
% 95.03/77.06 Index Insertion : 0.00
% 95.03/77.06 Index Deletion : 0.00
% 95.03/77.06 Index Matching : 0.00
% 95.03/77.06 BG Taut test : 0.00
%------------------------------------------------------------------------------