TSTP Solution File: SEU284+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU284+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n008.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 10:58:16 EDT 2023
% Result : Theorem 6.44s 2.53s
% Output : CNFRefutation 6.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 79 ( 23 unt; 24 typ; 0 def)
% Number of atoms : 132 ( 71 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 142 ( 65 ~; 63 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 16 >; 3 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 36 (; 34 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > element > relation_empty_yielding > relation > function > empty > apply > #nlpp > singleton > relation_dom > empty_set > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_11 > #skF_8 > #skF_10 > #skF_14 > #skF_13 > #skF_3 > #skF_1 > #skF_6 > #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(relation,type,
relation: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(function,type,
function: $i > $o ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_78,axiom,
! [A] :
( ( ! [B,C,D] :
( ( in(B,A)
& ( C = singleton(B) )
& ( D = singleton(B) ) )
=> ( C = D ) )
& ! [B] :
~ ( in(B,A)
& ! [C] : ( C != singleton(B) ) ) )
=> ? [B] :
( relation(B)
& function(B)
& ( relation_dom(B) = A )
& ! [C] :
( in(C,A)
=> ( apply(B,C) = singleton(C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).
tff(f_39,negated_conjecture,
~ ! [A] :
? [B] :
( relation(B)
& function(B)
& ( relation_dom(B) = A )
& ! [C] :
( in(C,A)
=> ( apply(B,C) = singleton(C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e16_22__wellord2) ).
tff(c_50,plain,
! [A_8] :
( ( '#skF_5'(A_8) != '#skF_6'(A_8) )
| function('#skF_8'(A_8)) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_38,plain,
! [A_8] :
( ( singleton('#skF_4'(A_8)) = '#skF_5'(A_8) )
| ( relation_dom('#skF_8'(A_8)) = A_8 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_459,plain,
! [A_88] :
( ( singleton('#skF_4'(A_88)) = '#skF_6'(A_88) )
| ( relation_dom('#skF_8'(A_88)) = A_88 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_471,plain,
! [A_8] :
( ( '#skF_5'(A_8) = '#skF_6'(A_8) )
| ( relation_dom('#skF_8'(A_8)) = A_8 )
| ( relation_dom('#skF_8'(A_8)) = A_8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_459]) ).
tff(c_1302,plain,
! [A_8] :
( ( '#skF_5'(A_8) = '#skF_6'(A_8) )
| ( relation_dom('#skF_8'(A_8)) = A_8 ) ),
inference(factorization,[status(thm),theory(equality)],[c_471]) ).
tff(c_66,plain,
! [A_8] :
( ( '#skF_5'(A_8) != '#skF_6'(A_8) )
| relation('#skF_8'(A_8)) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_4,plain,
! [B_4] :
( in('#skF_2'(B_4),'#skF_1')
| ( relation_dom(B_4) != '#skF_1' )
| ~ function(B_4)
| ~ relation(B_4) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_484,plain,
! [A_93,C_94] :
( in('#skF_4'(A_93),A_93)
| ( apply('#skF_8'(A_93),C_94) = singleton(C_94) )
| ~ in(C_94,A_93) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_2,plain,
! [B_4] :
( ( apply(B_4,'#skF_2'(B_4)) != singleton('#skF_2'(B_4)) )
| ( relation_dom(B_4) != '#skF_1' )
| ~ function(B_4)
| ~ relation(B_4) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_682,plain,
! [A_104] :
( ( relation_dom('#skF_8'(A_104)) != '#skF_1' )
| ~ function('#skF_8'(A_104))
| ~ relation('#skF_8'(A_104))
| in('#skF_4'(A_104),A_104)
| ~ in('#skF_2'('#skF_8'(A_104)),A_104) ),
inference(superposition,[status(thm),theory(equality)],[c_484,c_2]) ).
tff(c_697,plain,
( in('#skF_4'('#skF_1'),'#skF_1')
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| ~ function('#skF_8'('#skF_1'))
| ~ relation('#skF_8'('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_682]) ).
tff(c_982,plain,
~ relation('#skF_8'('#skF_1')),
inference(splitLeft,[status(thm)],[c_697]) ).
tff(c_1000,plain,
'#skF_5'('#skF_1') != '#skF_6'('#skF_1'),
inference(resolution,[status(thm)],[c_66,c_982]) ).
tff(c_68,plain,
! [A_8] :
( ( singleton('#skF_4'(A_8)) = '#skF_6'(A_8) )
| relation('#skF_8'(A_8)) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_999,plain,
singleton('#skF_4'('#skF_1')) = '#skF_6'('#skF_1'),
inference(resolution,[status(thm)],[c_68,c_982]) ).
tff(c_70,plain,
! [A_8] :
( ( singleton('#skF_4'(A_8)) = '#skF_5'(A_8) )
| relation('#skF_8'(A_8)) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_998,plain,
singleton('#skF_4'('#skF_1')) = '#skF_5'('#skF_1'),
inference(resolution,[status(thm)],[c_70,c_982]) ).
tff(c_1115,plain,
'#skF_5'('#skF_1') = '#skF_6'('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_999,c_998]) ).
tff(c_1117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1000,c_1115]) ).
tff(c_1118,plain,
( ~ function('#skF_8'('#skF_1'))
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| in('#skF_4'('#skF_1'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_697]) ).
tff(c_1984,plain,
relation_dom('#skF_8'('#skF_1')) != '#skF_1',
inference(splitLeft,[status(thm)],[c_1118]) ).
tff(c_2003,plain,
'#skF_5'('#skF_1') = '#skF_6'('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_1302,c_1984]) ).
tff(c_34,plain,
! [A_8] :
( ( '#skF_5'(A_8) != '#skF_6'(A_8) )
| ( relation_dom('#skF_8'(A_8)) = A_8 ) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_2005,plain,
'#skF_5'('#skF_1') != '#skF_6'('#skF_1'),
inference(superposition,[status(thm),theory(equality)],[c_34,c_1984]) ).
tff(c_2011,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2003,c_2005]) ).
tff(c_2012,plain,
( ~ function('#skF_8'('#skF_1'))
| in('#skF_4'('#skF_1'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_1118]) ).
tff(c_2089,plain,
~ function('#skF_8'('#skF_1')),
inference(splitLeft,[status(thm)],[c_2012]) ).
tff(c_2110,plain,
'#skF_5'('#skF_1') != '#skF_6'('#skF_1'),
inference(resolution,[status(thm)],[c_50,c_2089]) ).
tff(c_52,plain,
! [A_8] :
( ( singleton('#skF_4'(A_8)) = '#skF_6'(A_8) )
| function('#skF_8'(A_8)) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_2108,plain,
singleton('#skF_4'('#skF_1')) = '#skF_6'('#skF_1'),
inference(resolution,[status(thm)],[c_52,c_2089]) ).
tff(c_54,plain,
! [A_8] :
( ( singleton('#skF_4'(A_8)) = '#skF_5'(A_8) )
| function('#skF_8'(A_8)) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_2109,plain,
singleton('#skF_4'('#skF_1')) = '#skF_5'('#skF_1'),
inference(resolution,[status(thm)],[c_54,c_2089]) ).
tff(c_2137,plain,
'#skF_5'('#skF_1') = '#skF_6'('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2108,c_2109]) ).
tff(c_2138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2110,c_2137]) ).
tff(c_2140,plain,
function('#skF_8'('#skF_1')),
inference(splitRight,[status(thm)],[c_2012]) ).
tff(c_2013,plain,
relation_dom('#skF_8'('#skF_1')) = '#skF_1',
inference(splitRight,[status(thm)],[c_1118]) ).
tff(c_1119,plain,
relation('#skF_8'('#skF_1')),
inference(splitRight,[status(thm)],[c_697]) ).
tff(c_553,plain,
! [A_100,C_101] :
( ( '#skF_5'(A_100) != '#skF_6'(A_100) )
| ( apply('#skF_8'(A_100),C_101) = singleton(C_101) )
| ~ in(C_101,A_100) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1120,plain,
! [A_114] :
( ( relation_dom('#skF_8'(A_114)) != '#skF_1' )
| ~ function('#skF_8'(A_114))
| ~ relation('#skF_8'(A_114))
| ( '#skF_5'(A_114) != '#skF_6'(A_114) )
| ~ in('#skF_2'('#skF_8'(A_114)),A_114) ),
inference(superposition,[status(thm),theory(equality)],[c_553,c_2]) ).
tff(c_1137,plain,
( ( '#skF_5'('#skF_1') != '#skF_6'('#skF_1') )
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| ~ function('#skF_8'('#skF_1'))
| ~ relation('#skF_8'('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_1120]) ).
tff(c_1143,plain,
( ( '#skF_5'('#skF_1') != '#skF_6'('#skF_1') )
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| ~ function('#skF_8'('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1119,c_1137]) ).
tff(c_2254,plain,
'#skF_5'('#skF_1') != '#skF_6'('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2140,c_2013,c_1143]) ).
tff(c_931,plain,
! [A_108,C_109] :
( ( singleton('#skF_4'(A_108)) = '#skF_5'(A_108) )
| ( apply('#skF_8'(A_108),C_109) = singleton(C_109) )
| ~ in(C_109,A_108) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1258,plain,
! [A_129] :
( ( relation_dom('#skF_8'(A_129)) != '#skF_1' )
| ~ function('#skF_8'(A_129))
| ~ relation('#skF_8'(A_129))
| ( singleton('#skF_4'(A_129)) = '#skF_5'(A_129) )
| ~ in('#skF_2'('#skF_8'(A_129)),A_129) ),
inference(superposition,[status(thm),theory(equality)],[c_931,c_2]) ).
tff(c_1275,plain,
( ( singleton('#skF_4'('#skF_1')) = '#skF_5'('#skF_1') )
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| ~ function('#skF_8'('#skF_1'))
| ~ relation('#skF_8'('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_1258]) ).
tff(c_1281,plain,
( ( singleton('#skF_4'('#skF_1')) = '#skF_5'('#skF_1') )
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| ~ function('#skF_8'('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1119,c_1275]) ).
tff(c_2546,plain,
singleton('#skF_4'('#skF_1')) = '#skF_5'('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2140,c_2013,c_1281]) ).
tff(c_1178,plain,
! [A_121,C_122] :
( ( singleton('#skF_4'(A_121)) = '#skF_6'(A_121) )
| ( apply('#skF_8'(A_121),C_122) = singleton(C_122) )
| ~ in(C_122,A_121) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1449,plain,
! [A_136] :
( ( relation_dom('#skF_8'(A_136)) != '#skF_1' )
| ~ function('#skF_8'(A_136))
| ~ relation('#skF_8'(A_136))
| ( singleton('#skF_4'(A_136)) = '#skF_6'(A_136) )
| ~ in('#skF_2'('#skF_8'(A_136)),A_136) ),
inference(superposition,[status(thm),theory(equality)],[c_1178,c_2]) ).
tff(c_1466,plain,
( ( singleton('#skF_4'('#skF_1')) = '#skF_6'('#skF_1') )
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| ~ function('#skF_8'('#skF_1'))
| ~ relation('#skF_8'('#skF_1')) ),
inference(resolution,[status(thm)],[c_4,c_1449]) ).
tff(c_1472,plain,
( ( singleton('#skF_4'('#skF_1')) = '#skF_6'('#skF_1') )
| ( relation_dom('#skF_8'('#skF_1')) != '#skF_1' )
| ~ function('#skF_8'('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1119,c_1466]) ).
tff(c_3397,plain,
'#skF_5'('#skF_1') = '#skF_6'('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_2140,c_2013,c_2546,c_1472]) ).
tff(c_3398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2254,c_3397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU284+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 12:03:33 EDT 2023
% 0.12/0.35 % CPUTime :
% 6.44/2.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.44/2.54
% 6.44/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.61/2.57
% 6.61/2.57 Inference rules
% 6.61/2.57 ----------------------
% 6.61/2.57 #Ref : 0
% 6.61/2.57 #Sup : 905
% 6.61/2.57 #Fact : 2
% 6.61/2.57 #Define : 0
% 6.61/2.57 #Split : 7
% 6.61/2.57 #Chain : 0
% 6.61/2.57 #Close : 0
% 6.61/2.57
% 6.61/2.57 Ordering : KBO
% 6.61/2.57
% 6.61/2.57 Simplification rules
% 6.61/2.57 ----------------------
% 6.61/2.57 #Subsume : 322
% 6.61/2.57 #Demod : 237
% 6.61/2.57 #Tautology : 177
% 6.61/2.57 #SimpNegUnit : 14
% 6.61/2.57 #BackRed : 8
% 6.61/2.57
% 6.61/2.57 #Partial instantiations: 0
% 6.61/2.57 #Strategies tried : 1
% 6.61/2.57
% 6.61/2.57 Timing (in seconds)
% 6.61/2.57 ----------------------
% 6.61/2.58 Preprocessing : 0.58
% 6.61/2.58 Parsing : 0.28
% 6.61/2.58 CNF conversion : 0.04
% 6.61/2.58 Main loop : 0.88
% 6.61/2.58 Inferencing : 0.30
% 6.61/2.58 Reduction : 0.23
% 6.61/2.58 Demodulation : 0.15
% 6.61/2.58 BG Simplification : 0.05
% 6.61/2.58 Subsumption : 0.23
% 6.61/2.58 Abstraction : 0.04
% 6.61/2.58 MUC search : 0.00
% 6.61/2.58 Cooper : 0.00
% 6.61/2.58 Total : 1.51
% 6.61/2.58 Index Insertion : 0.00
% 6.61/2.58 Index Deletion : 0.00
% 6.61/2.58 Index Matching : 0.00
% 6.61/2.58 BG Taut test : 0.00
%------------------------------------------------------------------------------