TSTP Solution File: SEU062+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU062+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n003.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 10:57:33 EDT 2023
% Result : Theorem 10.05s 3.39s
% Output : CNFRefutation 10.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 58 ( 13 unt; 27 typ; 0 def)
% Number of atoms : 58 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 16 |; 4 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 16 >; 5 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 29 (; 26 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation_empty_yielding > relation > one_to_one > function > empty > relation_inverse_image > #nlpp > singleton > relation_rng > powerset > empty_set > #skF_9 > #skF_5 > #skF_2 > #skF_11 > #skF_7 > #skF_10 > #skF_14 > #skF_6 > #skF_13 > #skF_3 > #skF_8 > #skF_4 > #skF_1 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $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(singleton,type,
singleton: $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(relation_inverse_image,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
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(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_158,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> ( ! [C] :
~ ( in(C,A)
& ( relation_inverse_image(B,singleton(C)) = empty_set ) )
=> subset(A,relation_rng(B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t143_funct_1) ).
tff(f_58,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_98,axiom,
? [A] :
( empty(A)
& relation(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
tff(f_189,axiom,
! [A] :
( empty(A)
=> ( A = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
tff(f_147,axiom,
! [A,B] :
( relation(B)
=> ( in(A,relation_rng(B))
<=> ( relation_inverse_image(B,singleton(A)) != empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t142_funct_1) ).
tff(f_109,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_115,axiom,
? [A] :
( relation(A)
& empty(A)
& function(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
tff(c_90,plain,
~ subset('#skF_13',relation_rng('#skF_14')),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_18,plain,
! [A_6,B_7] :
( in('#skF_1'(A_6,B_7),A_6)
| subset(A_6,B_7) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_94,plain,
relation('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_50,plain,
empty('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_121,plain,
! [A_49] :
( ( empty_set = A_49 )
| ~ empty(A_49) ),
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_142,plain,
empty_set = '#skF_4',
inference(resolution,[status(thm)],[c_50,c_121]) ).
tff(c_86,plain,
! [A_23,B_24] :
( in(A_23,relation_rng(B_24))
| ( relation_inverse_image(B_24,singleton(A_23)) = empty_set )
| ~ relation(B_24) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_540,plain,
! [A_120,B_121] :
( in(A_120,relation_rng(B_121))
| ( relation_inverse_image(B_121,singleton(A_120)) = '#skF_4' )
| ~ relation(B_121) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_86]) ).
tff(c_16,plain,
! [A_6,B_7] :
( ~ in('#skF_1'(A_6,B_7),B_7)
| subset(A_6,B_7) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_10948,plain,
! [A_405,B_406] :
( subset(A_405,relation_rng(B_406))
| ( relation_inverse_image(B_406,singleton('#skF_1'(A_405,relation_rng(B_406)))) = '#skF_4' )
| ~ relation(B_406) ),
inference(resolution,[status(thm)],[c_540,c_16]) ).
tff(c_56,plain,
empty('#skF_6'),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_141,plain,
empty_set = '#skF_6',
inference(resolution,[status(thm)],[c_56,c_121]) ).
tff(c_160,plain,
'#skF_6' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_142,c_141]) ).
tff(c_60,plain,
empty('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_140,plain,
empty_set = '#skF_7',
inference(resolution,[status(thm)],[c_60,c_121]) ).
tff(c_154,plain,
'#skF_7' = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_141,c_140]) ).
tff(c_92,plain,
! [C_26] :
( ( relation_inverse_image('#skF_14',singleton(C_26)) != empty_set )
| ~ in(C_26,'#skF_13') ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_145,plain,
! [C_26] :
( ( relation_inverse_image('#skF_14',singleton(C_26)) != '#skF_7' )
| ~ in(C_26,'#skF_13') ),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_92]) ).
tff(c_165,plain,
! [C_26] :
( ( relation_inverse_image('#skF_14',singleton(C_26)) != '#skF_6' )
| ~ in(C_26,'#skF_13') ),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_145]) ).
tff(c_190,plain,
! [C_26] :
( ( relation_inverse_image('#skF_14',singleton(C_26)) != '#skF_4' )
| ~ in(C_26,'#skF_13') ),
inference(demodulation,[status(thm),theory(equality)],[c_160,c_165]) ).
tff(c_10966,plain,
! [A_405] :
( ~ in('#skF_1'(A_405,relation_rng('#skF_14')),'#skF_13')
| subset(A_405,relation_rng('#skF_14'))
| ~ relation('#skF_14') ),
inference(superposition,[status(thm),theory(equality)],[c_10948,c_190]) ).
tff(c_11874,plain,
! [A_411] :
( ~ in('#skF_1'(A_411,relation_rng('#skF_14')),'#skF_13')
| subset(A_411,relation_rng('#skF_14')) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_10966]) ).
tff(c_11894,plain,
subset('#skF_13',relation_rng('#skF_14')),
inference(resolution,[status(thm)],[c_18,c_11874]) ).
tff(c_11902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_90,c_11894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU062+1 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 12:03:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 10.05/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.05/3.40
% 10.05/3.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.05/3.43
% 10.05/3.43 Inference rules
% 10.05/3.43 ----------------------
% 10.05/3.43 #Ref : 0
% 10.05/3.43 #Sup : 3163
% 10.05/3.43 #Fact : 0
% 10.05/3.43 #Define : 0
% 10.05/3.43 #Split : 18
% 10.05/3.43 #Chain : 0
% 10.05/3.43 #Close : 0
% 10.05/3.43
% 10.05/3.43 Ordering : KBO
% 10.05/3.43
% 10.05/3.43 Simplification rules
% 10.05/3.43 ----------------------
% 10.05/3.43 #Subsume : 1239
% 10.05/3.43 #Demod : 1518
% 10.05/3.43 #Tautology : 856
% 10.05/3.43 #SimpNegUnit : 138
% 10.05/3.43 #BackRed : 53
% 10.05/3.43
% 10.05/3.43 #Partial instantiations: 0
% 10.05/3.43 #Strategies tried : 1
% 10.05/3.43
% 10.05/3.43 Timing (in seconds)
% 10.05/3.43 ----------------------
% 10.05/3.43 Preprocessing : 0.55
% 10.05/3.43 Parsing : 0.30
% 10.05/3.43 CNF conversion : 0.04
% 10.05/3.43 Main loop : 1.73
% 10.05/3.43 Inferencing : 0.52
% 10.05/3.43 Reduction : 0.55
% 10.05/3.43 Demodulation : 0.36
% 10.05/3.43 BG Simplification : 0.05
% 10.05/3.43 Subsumption : 0.48
% 10.05/3.43 Abstraction : 0.05
% 10.05/3.43 MUC search : 0.00
% 10.05/3.43 Cooper : 0.00
% 10.05/3.43 Total : 2.33
% 10.05/3.43 Index Insertion : 0.00
% 10.05/3.43 Index Deletion : 0.00
% 10.05/3.43 Index Matching : 0.00
% 10.05/3.43 BG Taut test : 0.00
%------------------------------------------------------------------------------