TSTP Solution File: SEU407+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU407+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 : n029.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 10:58:39 EDT 2023
% Result : Theorem 7.08s 2.55s
% Output : CNFRefutation 7.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 45
% Syntax : Number of formulae : 79 ( 19 unt; 36 typ; 0 def)
% Number of atoms : 95 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 97 ( 45 ~; 31 |; 7 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 51 ( 27 >; 24 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 9 con; 0-6 aty)
% Number of variables : 40 (; 40 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ m2_relset_1 > m1_relset_1 > r2_hidden > r1_tarski > m1_subset_1 > v3_struct_0 > v1_xboole_0 > v1_relat_1 > v1_orders_2 > l1_struct_0 > l1_orders_2 > k7_relset_1 > k5_relat_1 > k4_xboole_0 > k2_zfmisc_1 > k2_xboole_0 > k1_latsum_1 > g1_orders_2 > #nlpp > u1_struct_0 > u1_orders_2 > k1_zfmisc_1 > k1_xboole_0 > #skF_9 > #skF_11 > #skF_4 > #skF_7 > #skF_6 > #skF_13 > #skF_5 > #skF_2 > #skF_10 > #skF_3 > #skF_1 > #skF_8 > #skF_14 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v1_orders_2,type,
v1_orders_2: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(k4_xboole_0,type,
k4_xboole_0: ( $i * $i ) > $i ).
tff(k7_relset_1,type,
k7_relset_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(k1_xboole_0,type,
k1_xboole_0: $i ).
tff(k5_relat_1,type,
k5_relat_1: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(g1_orders_2,type,
g1_orders_2: ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(k1_latsum_1,type,
k1_latsum_1: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(l1_struct_0,type,
l1_struct_0: $i > $o ).
tff(l1_orders_2,type,
l1_orders_2: $i > $o ).
tff(v1_relat_1,type,
v1_relat_1: $i > $o ).
tff(k2_zfmisc_1,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(u1_orders_2,type,
u1_orders_2: $i > $i ).
tff(k2_xboole_0,type,
k2_xboole_0: ( $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_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_48,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))
=> ( r2_hidden(C,u1_struct_0(A))
| r2_hidden(C,k4_xboole_0(u1_struct_0(B),u1_struct_0(A))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_latsum_1) ).
tff(f_121,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
tff(f_104,axiom,
! [A,B] :
( ( l1_orders_2(A)
& l1_orders_2(B) )
=> ( v1_orders_2(k1_latsum_1(A,B))
& l1_orders_2(k1_latsum_1(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
tff(f_81,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C] :
( ( v1_orders_2(C)
& l1_orders_2(C) )
=> ( ( C = k1_latsum_1(A,B) )
<=> ( ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) )
& ( u1_orders_2(C) = k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_latsum_1) ).
tff(f_243,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
tff(f_245,axiom,
! [A,B] : ( k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).
tff(f_90,axiom,
! [A,B,C] :
( ( C = k2_xboole_0(A,B) )
<=> ! [D] :
( r2_hidden(D,C)
<=> ( r2_hidden(D,A)
| r2_hidden(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
tff(f_187,axiom,
! [A,B] :
( ~ v1_xboole_0(A)
=> ~ v1_xboole_0(k2_xboole_0(B,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
tff(f_162,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_8,plain,
l1_orders_2('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_70,plain,
! [A_38] :
( l1_struct_0(A_38)
| ~ l1_orders_2(A_38) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_10,plain,
~ v3_struct_0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_12,plain,
l1_orders_2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_52,plain,
! [A_28,B_29] :
( l1_orders_2(k1_latsum_1(A_28,B_29))
| ~ l1_orders_2(B_29)
| ~ l1_orders_2(A_28) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_54,plain,
! [A_28,B_29] :
( v1_orders_2(k1_latsum_1(A_28,B_29))
| ~ l1_orders_2(B_29)
| ~ l1_orders_2(A_28) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_6,plain,
m1_subset_1('#skF_3',u1_struct_0(k1_latsum_1('#skF_1','#skF_2'))),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_28,plain,
! [A_13,B_17] :
( ( k2_xboole_0(u1_struct_0(A_13),u1_struct_0(B_17)) = u1_struct_0(k1_latsum_1(A_13,B_17)) )
| ~ l1_orders_2(k1_latsum_1(A_13,B_17))
| ~ v1_orders_2(k1_latsum_1(A_13,B_17))
| ~ l1_orders_2(B_17)
| ~ l1_orders_2(A_13) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_140,plain,
! [A_84,B_85] :
( r2_hidden(A_84,B_85)
| v1_xboole_0(B_85)
| ~ m1_subset_1(A_84,B_85) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_4,plain,
~ r2_hidden('#skF_3',u1_struct_0('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_142,plain,
! [A_86,B_87] : ( k2_xboole_0(A_86,k4_xboole_0(B_87,A_86)) = k2_xboole_0(A_86,B_87) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_975,plain,
! [D_259,B_260,A_261] :
( r2_hidden(D_259,B_260)
| r2_hidden(D_259,A_261)
| ~ r2_hidden(D_259,k2_xboole_0(A_261,B_260)) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_2891,plain,
! [D_414,B_415,A_416] :
( r2_hidden(D_414,k4_xboole_0(B_415,A_416))
| r2_hidden(D_414,A_416)
| ~ r2_hidden(D_414,k2_xboole_0(A_416,B_415)) ),
inference(superposition,[status(thm),theory(equality)],[c_142,c_975]) ).
tff(c_2,plain,
~ r2_hidden('#skF_3',k4_xboole_0(u1_struct_0('#skF_2'),u1_struct_0('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_2955,plain,
( r2_hidden('#skF_3',u1_struct_0('#skF_1'))
| ~ r2_hidden('#skF_3',k2_xboole_0(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))) ),
inference(resolution,[status(thm)],[c_2891,c_2]) ).
tff(c_2999,plain,
~ r2_hidden('#skF_3',k2_xboole_0(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))),
inference(negUnitSimplification,[status(thm)],[c_4,c_2955]) ).
tff(c_3027,plain,
( v1_xboole_0(k2_xboole_0(u1_struct_0('#skF_1'),u1_struct_0('#skF_2')))
| ~ m1_subset_1('#skF_3',k2_xboole_0(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))) ),
inference(resolution,[status(thm)],[c_140,c_2999]) ).
tff(c_3034,plain,
~ m1_subset_1('#skF_3',k2_xboole_0(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))),
inference(splitLeft,[status(thm)],[c_3027]) ).
tff(c_3037,plain,
( ~ m1_subset_1('#skF_3',u1_struct_0(k1_latsum_1('#skF_1','#skF_2')))
| ~ l1_orders_2(k1_latsum_1('#skF_1','#skF_2'))
| ~ v1_orders_2(k1_latsum_1('#skF_1','#skF_2'))
| ~ l1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_3034]) ).
tff(c_3045,plain,
( ~ l1_orders_2(k1_latsum_1('#skF_1','#skF_2'))
| ~ v1_orders_2(k1_latsum_1('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_6,c_3037]) ).
tff(c_3048,plain,
~ v1_orders_2(k1_latsum_1('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3045]) ).
tff(c_3051,plain,
( ~ l1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_54,c_3048]) ).
tff(c_3055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_3051]) ).
tff(c_3056,plain,
~ l1_orders_2(k1_latsum_1('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_3045]) ).
tff(c_3154,plain,
( ~ l1_orders_2('#skF_2')
| ~ l1_orders_2('#skF_1') ),
inference(resolution,[status(thm)],[c_52,c_3056]) ).
tff(c_3158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_3154]) ).
tff(c_3159,plain,
v1_xboole_0(k2_xboole_0(u1_struct_0('#skF_1'),u1_struct_0('#skF_2'))),
inference(splitRight,[status(thm)],[c_3027]) ).
tff(c_108,plain,
! [B_59,A_58] :
( ~ v1_xboole_0(k2_xboole_0(B_59,A_58))
| v1_xboole_0(A_58) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_3213,plain,
v1_xboole_0(u1_struct_0('#skF_2')),
inference(resolution,[status(thm)],[c_3159,c_108]) ).
tff(c_98,plain,
! [A_53] :
( ~ v1_xboole_0(u1_struct_0(A_53))
| ~ l1_struct_0(A_53)
| v3_struct_0(A_53) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_3238,plain,
( ~ l1_struct_0('#skF_2')
| v3_struct_0('#skF_2') ),
inference(resolution,[status(thm)],[c_3213,c_98]) ).
tff(c_3250,plain,
~ l1_struct_0('#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_10,c_3238]) ).
tff(c_3255,plain,
~ l1_orders_2('#skF_2'),
inference(resolution,[status(thm)],[c_70,c_3250]) ).
tff(c_3259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_3255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU407+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/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
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu Aug 3 11:56:52 EDT 2023
% 0.14/0.33 % CPUTime :
% 7.08/2.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.08/2.56
% 7.08/2.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.08/2.59
% 7.08/2.59 Inference rules
% 7.08/2.59 ----------------------
% 7.08/2.59 #Ref : 2
% 7.08/2.59 #Sup : 803
% 7.08/2.59 #Fact : 6
% 7.08/2.59 #Define : 0
% 7.08/2.59 #Split : 8
% 7.08/2.59 #Chain : 0
% 7.08/2.59 #Close : 0
% 7.08/2.59
% 7.08/2.59 Ordering : KBO
% 7.08/2.59
% 7.08/2.59 Simplification rules
% 7.08/2.59 ----------------------
% 7.08/2.59 #Subsume : 242
% 7.08/2.59 #Demod : 161
% 7.08/2.59 #Tautology : 148
% 7.08/2.59 #SimpNegUnit : 11
% 7.08/2.59 #BackRed : 4
% 7.08/2.59
% 7.08/2.59 #Partial instantiations: 0
% 7.08/2.59 #Strategies tried : 1
% 7.08/2.59
% 7.08/2.59 Timing (in seconds)
% 7.08/2.59 ----------------------
% 7.08/2.59 Preprocessing : 0.65
% 7.08/2.59 Parsing : 0.32
% 7.08/2.59 CNF conversion : 0.06
% 7.08/2.59 Main loop : 0.96
% 7.08/2.59 Inferencing : 0.33
% 7.08/2.59 Reduction : 0.29
% 7.08/2.59 Demodulation : 0.21
% 7.08/2.59 BG Simplification : 0.05
% 7.08/2.59 Subsumption : 0.23
% 7.08/2.59 Abstraction : 0.03
% 7.08/2.59 MUC search : 0.00
% 7.08/2.59 Cooper : 0.00
% 7.08/2.59 Total : 1.66
% 7.08/2.59 Index Insertion : 0.00
% 7.08/2.59 Index Deletion : 0.00
% 7.08/2.59 Index Matching : 0.00
% 7.08/2.59 BG Taut test : 0.00
%------------------------------------------------------------------------------