TSTP Solution File: TOP025+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : TOP025+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 : n022.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 12.15s 3.89s
% Output : CNFRefutation 12.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 51
% Syntax : Number of formulae : 85 ( 20 unt; 46 typ; 0 def)
% Number of atoms : 106 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 107 ( 40 ~; 43 |; 11 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 50 ( 39 >; 11 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 19 (; 19 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v4_pre_topc > v3_tops_1 > v3_pre_topc > v2_tops_1 > v1_tsp_2 > v1_tsp_1 > v1_tex_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 > k3_tex_4 > #nlpp > u1_struct_0 > k1_zfmisc_1 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_5 > #skF_16 > #skF_11 > #skF_8 > #skF_15 > #skF_10 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_13 > #skF_4 > #skF_17 > #skF_14 > #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_5',type,
'#skF_5': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(v3_pre_topc,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(v1_tex_2,type,
v1_tex_2: ( $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(v4_ordinal2,type,
v4_ordinal2: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(k3_tex_4,type,
k3_tex_4: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_6',type,
'#skF_6': $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_1,type,
v1_tsp_1: ( $i * $i ) > $o ).
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('#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('#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(v3_struct_0,type,
v3_struct_0: $i > $o ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(f_49,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)))
=> ~ ( ( v3_pre_topc(B,A)
| v4_pre_topc(B,A) )
& v1_tsp_2(B,A)
& v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_tsp_2) ).
tff(f_527,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)))
=> ( v3_pre_topc(B,A)
=> ( k3_tex_4(A,B) = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
tff(f_298,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)
<=> ( v1_tsp_1(B,A)
& ( k3_tex_4(A,B) = u1_struct_0(A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
tff(f_541,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v1_tex_2(B,k1_zfmisc_1(A))
<=> ( B != A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
tff(f_555,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)))
=> ( v4_pre_topc(B,A)
=> ( k3_tex_4(A,B) = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_tex_4) ).
tff(c_14,plain,
~ v3_struct_0('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_12,plain,
v2_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_10,plain,
l1_pre_topc('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_4,plain,
v1_tsp_2('#skF_2','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_6,plain,
( v4_pre_topc('#skF_2','#skF_1')
| v3_pre_topc('#skF_2','#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_394,plain,
v3_pre_topc('#skF_2','#skF_1'),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_8,plain,
m1_subset_1('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_5089,plain,
! [A_472,B_473] :
( ( k3_tex_4(A_472,B_473) = B_473 )
| ~ v3_pre_topc(B_473,A_472)
| ~ m1_subset_1(B_473,k1_zfmisc_1(u1_struct_0(A_472)))
| ~ l1_pre_topc(A_472)
| ~ v2_pre_topc(A_472)
| v3_struct_0(A_472) ),
inference(cnfTransformation,[status(thm)],[f_527]) ).
tff(c_5131,plain,
( ( k3_tex_4('#skF_1','#skF_2') = '#skF_2' )
| ~ v3_pre_topc('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_5089]) ).
tff(c_5150,plain,
( ( k3_tex_4('#skF_1','#skF_2') = '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_394,c_5131]) ).
tff(c_5151,plain,
k3_tex_4('#skF_1','#skF_2') = '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_14,c_5150]) ).
tff(c_5199,plain,
! [A_477,B_478] :
( ( k3_tex_4(A_477,B_478) = u1_struct_0(A_477) )
| ~ v1_tsp_2(B_478,A_477)
| ~ m1_subset_1(B_478,k1_zfmisc_1(u1_struct_0(A_477)))
| ~ l1_pre_topc(A_477)
| ~ v2_pre_topc(A_477)
| v3_struct_0(A_477) ),
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_5241,plain,
( ( k3_tex_4('#skF_1','#skF_2') = u1_struct_0('#skF_1') )
| ~ v1_tsp_2('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_5199]) ).
tff(c_5260,plain,
( ( u1_struct_0('#skF_1') = '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4,c_5151,c_5241]) ).
tff(c_5261,plain,
u1_struct_0('#skF_1') = '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_14,c_5260]) ).
tff(c_5271,plain,
m1_subset_1('#skF_2',k1_zfmisc_1('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_5261,c_8]) ).
tff(c_2,plain,
v1_tex_2('#skF_2',k1_zfmisc_1(u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_5272,plain,
v1_tex_2('#skF_2',k1_zfmisc_1('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_5261,c_2]) ).
tff(c_284,plain,
! [B_105] :
( ~ v1_tex_2(B_105,k1_zfmisc_1(B_105))
| ~ m1_subset_1(B_105,k1_zfmisc_1(B_105)) ),
inference(cnfTransformation,[status(thm)],[f_541]) ).
tff(c_5814,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1('#skF_2')),
inference(resolution,[status(thm)],[c_5272,c_284]) ).
tff(c_6092,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5271,c_5814]) ).
tff(c_6093,plain,
v4_pre_topc('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_10555,plain,
! [A_806,B_807] :
( ( k3_tex_4(A_806,B_807) = B_807 )
| ~ v4_pre_topc(B_807,A_806)
| ~ m1_subset_1(B_807,k1_zfmisc_1(u1_struct_0(A_806)))
| ~ l1_pre_topc(A_806)
| ~ v2_pre_topc(A_806)
| v3_struct_0(A_806) ),
inference(cnfTransformation,[status(thm)],[f_555]) ).
tff(c_10597,plain,
( ( k3_tex_4('#skF_1','#skF_2') = '#skF_2' )
| ~ v4_pre_topc('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_10555]) ).
tff(c_10616,plain,
( ( k3_tex_4('#skF_1','#skF_2') = '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_6093,c_10597]) ).
tff(c_10617,plain,
k3_tex_4('#skF_1','#skF_2') = '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_14,c_10616]) ).
tff(c_10887,plain,
! [A_825,B_826] :
( ( k3_tex_4(A_825,B_826) = u1_struct_0(A_825) )
| ~ v1_tsp_2(B_826,A_825)
| ~ m1_subset_1(B_826,k1_zfmisc_1(u1_struct_0(A_825)))
| ~ l1_pre_topc(A_825)
| ~ v2_pre_topc(A_825)
| v3_struct_0(A_825) ),
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_10929,plain,
( ( k3_tex_4('#skF_1','#skF_2') = u1_struct_0('#skF_1') )
| ~ v1_tsp_2('#skF_2','#skF_1')
| ~ l1_pre_topc('#skF_1')
| ~ v2_pre_topc('#skF_1')
| v3_struct_0('#skF_1') ),
inference(resolution,[status(thm)],[c_8,c_10887]) ).
tff(c_10948,plain,
( ( u1_struct_0('#skF_1') = '#skF_2' )
| v3_struct_0('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_4,c_10617,c_10929]) ).
tff(c_10949,plain,
u1_struct_0('#skF_1') = '#skF_2',
inference(negUnitSimplification,[status(thm)],[c_14,c_10948]) ).
tff(c_10959,plain,
m1_subset_1('#skF_2',k1_zfmisc_1('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_10949,c_8]) ).
tff(c_10960,plain,
v1_tex_2('#skF_2',k1_zfmisc_1('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_10949,c_2]) ).
tff(c_11647,plain,
~ m1_subset_1('#skF_2',k1_zfmisc_1('#skF_2')),
inference(resolution,[status(thm)],[c_10960,c_284]) ).
tff(c_11651,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10959,c_11647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % 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 : n022.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 17:39:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 12.15/3.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.15/3.89
% 12.15/3.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.15/3.92
% 12.15/3.92 Inference rules
% 12.15/3.92 ----------------------
% 12.15/3.92 #Ref : 0
% 12.15/3.92 #Sup : 2554
% 12.15/3.92 #Fact : 0
% 12.15/3.92 #Define : 0
% 12.15/3.92 #Split : 32
% 12.15/3.92 #Chain : 0
% 12.15/3.92 #Close : 0
% 12.15/3.92
% 12.15/3.92 Ordering : KBO
% 12.15/3.92
% 12.15/3.92 Simplification rules
% 12.15/3.92 ----------------------
% 12.15/3.92 #Subsume : 1092
% 12.15/3.92 #Demod : 706
% 12.15/3.92 #Tautology : 230
% 12.15/3.92 #SimpNegUnit : 93
% 12.15/3.92 #BackRed : 22
% 12.15/3.92
% 12.15/3.92 #Partial instantiations: 0
% 12.15/3.92 #Strategies tried : 1
% 12.15/3.92
% 12.15/3.92 Timing (in seconds)
% 12.15/3.92 ----------------------
% 12.15/3.93 Preprocessing : 0.72
% 12.15/3.93 Parsing : 0.36
% 12.15/3.93 CNF conversion : 0.06
% 12.15/3.93 Main loop : 2.14
% 12.15/3.93 Inferencing : 0.69
% 12.15/3.93 Reduction : 0.72
% 12.15/3.93 Demodulation : 0.46
% 12.15/3.93 BG Simplification : 0.07
% 12.15/3.93 Subsumption : 0.52
% 12.15/3.93 Abstraction : 0.05
% 12.15/3.93 MUC search : 0.00
% 12.15/3.93 Cooper : 0.00
% 12.15/3.93 Total : 2.91
% 12.15/3.93 Index Insertion : 0.00
% 12.15/3.93 Index Deletion : 0.00
% 12.15/3.93 Index Matching : 0.00
% 12.15/3.93 BG Taut test : 0.00
%------------------------------------------------------------------------------