TSTP Solution File: SEU451+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU451+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 : n002.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 10:58:49 EDT 2023
% Result : Theorem 63.87s 48.94s
% Output : CNFRefutation 63.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 42
% Syntax : Number of formulae : 70 ( 12 unt; 35 typ; 0 def)
% Number of atoms : 66 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 25 ~; 21 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 51 ( 28 >; 23 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-6 aty)
% Number of variables : 75 (; 75 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ v1_partfun1 > m2_relset_1 > m1_relset_1 > r2_hidden > r1_tarski > m1_subset_1 > v8_relat_2 > v4_relat_2 > v3_relat_2 > v3_relat_1 > v1_xboole_0 > v1_relat_2 > v1_relat_1 > v1_funct_1 > k7_relset_1 > k9_relset_2 > k5_relat_1 > k2_zfmisc_1 > #nlpp > k6_relat_1 > k6_partfun1 > k1_zfmisc_1 > k1_xboole_0 > #skF_5 > #skF_6 > #skF_8 > #skF_7 > #skF_10 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_11 > #skF_12 > #skF_9 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(m2_relset_1,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(v1_funct_1,type,
v1_funct_1: $i > $o ).
tff(r2_hidden,type,
r2_hidden: ( $i * $i ) > $o ).
tff(v1_partfun1,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
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(v1_relat_2,type,
v1_relat_2: $i > $o ).
tff(k5_relat_1,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(v3_relat_1,type,
v3_relat_1: $i > $o ).
tff(v8_relat_2,type,
v8_relat_2: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(r1_tarski,type,
r1_tarski: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(m1_relset_1,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(v4_relat_2,type,
v4_relat_2: $i > $o ).
tff(k9_relset_2,type,
k9_relset_2: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
tff(k6_partfun1,type,
k6_partfun1: $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_11',type,
'#skF_11': $i > $i ).
tff(k6_relat_1,type,
k6_relat_1: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(v1_xboole_0,type,
v1_xboole_0: $i > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(m1_subset_1,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(v3_relat_2,type,
v3_relat_2: $i > $o ).
tff(f_34,negated_conjecture,
~ ! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( k9_relset_2(A,A,B,k6_partfun1(A),C) = k9_relset_2(A,B,B,C,k6_partfun1(B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relset_2) ).
tff(f_212,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
tff(f_68,axiom,
! [A] :
( v1_partfun1(k6_partfun1(A),A,A)
& m2_relset_1(k6_partfun1(A),A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
tff(f_202,axiom,
! [A,B,C,D,E,F] :
( ( m1_relset_1(E,A,B)
& m1_relset_1(F,C,D) )
=> ( k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
tff(f_224,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> ( ( k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C )
& ( k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
tff(f_86,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
tff(f_208,axiom,
! [A,B,C,D,E] :
( ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
& m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) )
=> ( k9_relset_2(A,B,C,D,E) = k5_relat_1(D,E) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
tff(c_4,plain,
m2_relset_1('#skF_3','#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_278,plain,
! [C_147,A_148,B_149] :
( m1_relset_1(C_147,A_148,B_149)
| ~ m2_relset_1(C_147,A_148,B_149) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_294,plain,
m1_relset_1('#skF_3','#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4,c_278]) ).
tff(c_26,plain,
! [A_10] : m2_relset_1(k6_partfun1(A_10),A_10,A_10),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_293,plain,
! [A_10] : m1_relset_1(k6_partfun1(A_10),A_10,A_10),
inference(resolution,[status(thm)],[c_26,c_278]) ).
tff(c_2315,plain,
! [C_277,A_278,B_280,E_276,F_279,D_281] :
( ( k7_relset_1(A_278,B_280,C_277,D_281,E_276,F_279) = k5_relat_1(E_276,F_279) )
| ~ m1_relset_1(F_279,C_277,D_281)
| ~ m1_relset_1(E_276,A_278,B_280) ),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_34728,plain,
! [A_1288,B_1289,A_1290,E_1291] :
( ( k7_relset_1(A_1288,B_1289,A_1290,A_1290,E_1291,k6_partfun1(A_1290)) = k5_relat_1(E_1291,k6_partfun1(A_1290)) )
| ~ m1_relset_1(E_1291,A_1288,B_1289) ),
inference(resolution,[status(thm)],[c_293,c_2315]) ).
tff(c_136,plain,
! [A_72,B_73,C_74] :
( ( k7_relset_1(A_72,B_73,B_73,B_73,C_74,k6_partfun1(B_73)) = C_74 )
| ~ m2_relset_1(C_74,A_72,B_73) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_106183,plain,
! [E_3104,A_3105,A_3106] :
( ( k5_relat_1(E_3104,k6_partfun1(A_3105)) = E_3104 )
| ~ m2_relset_1(E_3104,A_3106,A_3105)
| ~ m1_relset_1(E_3104,A_3106,A_3105) ),
inference(superposition,[status(thm),theory(equality)],[c_34728,c_136]) ).
tff(c_106483,plain,
( ( k5_relat_1('#skF_3',k6_partfun1('#skF_2')) = '#skF_3' )
| ~ m1_relset_1('#skF_3','#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_4,c_106183]) ).
tff(c_106879,plain,
k5_relat_1('#skF_3',k6_partfun1('#skF_2')) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_294,c_106483]) ).
tff(c_38,plain,
! [C_25,A_23,B_24] :
( m1_subset_1(C_25,k1_zfmisc_1(k2_zfmisc_1(A_23,B_24)))
| ~ m2_relset_1(C_25,A_23,B_24) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_2787,plain,
! [B_315,E_317,C_313,D_314,A_316] :
( ( k9_relset_2(A_316,B_315,C_313,D_314,E_317) = k5_relat_1(D_314,E_317) )
| ~ m1_subset_1(E_317,k1_zfmisc_1(k2_zfmisc_1(B_315,C_313)))
| ~ m1_subset_1(D_314,k1_zfmisc_1(k2_zfmisc_1(A_316,B_315))) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_10012,plain,
! [B_446,A_448,D_445,A_447,C_444] :
( ( k9_relset_2(A_447,A_448,B_446,D_445,C_444) = k5_relat_1(D_445,C_444) )
| ~ m1_subset_1(D_445,k1_zfmisc_1(k2_zfmisc_1(A_447,A_448)))
| ~ m2_relset_1(C_444,A_448,B_446) ),
inference(resolution,[status(thm)],[c_38,c_2787]) ).
tff(c_35975,plain,
! [C_1336,B_1338,C_1335,B_1337,A_1339] :
( ( k9_relset_2(A_1339,B_1338,B_1337,C_1336,C_1335) = k5_relat_1(C_1336,C_1335) )
| ~ m2_relset_1(C_1335,B_1338,B_1337)
| ~ m2_relset_1(C_1336,A_1339,B_1338) ),
inference(resolution,[status(thm)],[c_38,c_10012]) ).
tff(c_153965,plain,
! [A_3740,A_3741,C_3742] :
( ( k9_relset_2(A_3740,A_3741,A_3741,C_3742,k6_partfun1(A_3741)) = k5_relat_1(C_3742,k6_partfun1(A_3741)) )
| ~ m2_relset_1(C_3742,A_3740,A_3741) ),
inference(resolution,[status(thm)],[c_26,c_35975]) ).
tff(c_2349,plain,
! [A_288,B_289,E_290] :
( ( k7_relset_1(A_288,B_289,'#skF_1','#skF_2',E_290,'#skF_3') = k5_relat_1(E_290,'#skF_3') )
| ~ m1_relset_1(E_290,A_288,B_289) ),
inference(resolution,[status(thm)],[c_294,c_2315]) ).
tff(c_3459,plain,
! [A_340] : ( k7_relset_1(A_340,A_340,'#skF_1','#skF_2',k6_partfun1(A_340),'#skF_3') = k5_relat_1(k6_partfun1(A_340),'#skF_3') ),
inference(resolution,[status(thm)],[c_293,c_2349]) ).
tff(c_138,plain,
! [A_72,B_73,C_74] :
( ( k7_relset_1(A_72,A_72,A_72,B_73,k6_partfun1(A_72),C_74) = C_74 )
| ~ m2_relset_1(C_74,A_72,B_73) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_3469,plain,
( ( k5_relat_1(k6_partfun1('#skF_1'),'#skF_3') = '#skF_3' )
| ~ m2_relset_1('#skF_3','#skF_1','#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_3459,c_138]) ).
tff(c_3481,plain,
k5_relat_1(k6_partfun1('#skF_1'),'#skF_3') = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3469]) ).
tff(c_36450,plain,
! [A_1348,C_1349] :
( ( k9_relset_2(A_1348,'#skF_1','#skF_2',C_1349,'#skF_3') = k5_relat_1(C_1349,'#skF_3') )
| ~ m2_relset_1(C_1349,A_1348,'#skF_1') ),
inference(resolution,[status(thm)],[c_4,c_35975]) ).
tff(c_36630,plain,
k9_relset_2('#skF_1','#skF_1','#skF_2',k6_partfun1('#skF_1'),'#skF_3') = k5_relat_1(k6_partfun1('#skF_1'),'#skF_3'),
inference(resolution,[status(thm)],[c_26,c_36450]) ).
tff(c_36677,plain,
k9_relset_2('#skF_1','#skF_1','#skF_2',k6_partfun1('#skF_1'),'#skF_3') = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3481,c_36630]) ).
tff(c_2,plain,
k9_relset_2('#skF_1','#skF_2','#skF_2','#skF_3',k6_partfun1('#skF_2')) != k9_relset_2('#skF_1','#skF_1','#skF_2',k6_partfun1('#skF_1'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_36678,plain,
k9_relset_2('#skF_1','#skF_2','#skF_2','#skF_3',k6_partfun1('#skF_2')) != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_36677,c_2]) ).
tff(c_154031,plain,
( ( k5_relat_1('#skF_3',k6_partfun1('#skF_2')) != '#skF_3' )
| ~ m2_relset_1('#skF_3','#skF_1','#skF_2') ),
inference(superposition,[status(thm),theory(equality)],[c_153965,c_36678]) ).
tff(c_154093,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_106879,c_154031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU451+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/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
% 0.15/0.36 % Computer : n002.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 12:04:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 63.87/48.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 63.87/48.95
% 63.87/48.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 63.87/48.98
% 63.87/48.98 Inference rules
% 63.87/48.98 ----------------------
% 63.87/48.98 #Ref : 0
% 63.87/48.98 #Sup : 36545
% 63.87/48.98 #Fact : 0
% 63.87/48.98 #Define : 0
% 63.87/48.98 #Split : 8
% 63.87/48.98 #Chain : 0
% 63.87/48.98 #Close : 0
% 63.87/48.98
% 63.87/48.98 Ordering : KBO
% 63.87/48.98
% 63.87/48.98 Simplification rules
% 63.87/48.98 ----------------------
% 63.87/48.98 #Subsume : 8159
% 63.87/48.98 #Demod : 22505
% 63.87/48.98 #Tautology : 13029
% 63.87/48.98 #SimpNegUnit : 76
% 63.87/48.98 #BackRed : 399
% 63.87/48.98
% 63.87/48.98 #Partial instantiations: 0
% 63.87/48.98 #Strategies tried : 1
% 63.87/48.98
% 63.87/48.98 Timing (in seconds)
% 63.87/48.98 ----------------------
% 63.87/48.98 Preprocessing : 0.59
% 63.87/48.98 Parsing : 0.32
% 63.87/48.98 CNF conversion : 0.04
% 63.87/48.98 Main loop : 47.31
% 63.87/48.98 Inferencing : 5.17
% 63.87/48.98 Reduction : 28.89
% 63.87/48.98 Demodulation : 26.04
% 63.87/48.98 BG Simplification : 0.25
% 63.87/48.99 Subsumption : 11.12
% 63.87/48.99 Abstraction : 0.46
% 63.87/48.99 MUC search : 0.00
% 63.87/48.99 Cooper : 0.00
% 63.87/48.99 Total : 47.95
% 63.87/48.99 Index Insertion : 0.00
% 63.87/48.99 Index Deletion : 0.00
% 63.87/48.99 Index Matching : 0.00
% 63.87/48.99 BG Taut test : 0.00
%------------------------------------------------------------------------------