TSTP Solution File: SEU009+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU009+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/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 : n020.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 10:57:29 EDT 2023
% Result : Theorem 12.78s 3.99s
% Output : CNFRefutation 12.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 70 ( 24 unt; 26 typ; 0 def)
% Number of atoms : 111 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 125 ( 58 ~; 51 |; 8 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 16 >; 6 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation_empty_yielding > relation > function > empty > relation_composition > apply > #nlpp > relation_dom > powerset > identity_relation > empty_set > #skF_7 > #skF_4 > #skF_11 > #skF_1 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_10 > #skF_3 > #skF_9 > #skF_8 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(function,type,
function: $i > $o ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(identity_relation,type,
identity_relation: $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(relation_composition,type,
relation_composition: ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_199,negated_conjecture,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_composition(C,identity_relation(A))))
<=> ( in(B,relation_dom(C))
& in(apply(C,B),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_funct_1) ).
tff(f_83,axiom,
! [A] :
( relation(identity_relation(A))
& function(identity_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
tff(f_184,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( ( B = identity_relation(A) )
<=> ( ( relation_dom(B) = A )
& ! [C] :
( in(C,A)
=> ( apply(B,C) = C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
tff(f_165,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(relation_composition(C,B)))
<=> ( in(A,relation_dom(C))
& in(apply(C,A),relation_dom(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
tff(c_112,plain,
( in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11'))))
| in(apply('#skF_13','#skF_12'),'#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_143,plain,
in(apply('#skF_13','#skF_12'),'#skF_11'),
inference(splitLeft,[status(thm)],[c_112]) ).
tff(c_116,plain,
( in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11'))))
| in('#skF_12',relation_dom('#skF_13')) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_139,plain,
in('#skF_12',relation_dom('#skF_13')),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_104,plain,
relation('#skF_13'),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_102,plain,
function('#skF_13'),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_32,plain,
! [A_15] : relation(identity_relation(A_15)),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_34,plain,
! [A_15] : function(identity_relation(A_15)),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_96,plain,
! [A_34] :
( ( relation_dom(identity_relation(A_34)) = A_34 )
| ~ function(identity_relation(A_34))
| ~ relation(identity_relation(A_34)) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_128,plain,
! [A_34] :
( ( relation_dom(identity_relation(A_34)) = A_34 )
| ~ relation(identity_relation(A_34)) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_96]) ).
tff(c_132,plain,
! [A_34] : ( relation_dom(identity_relation(A_34)) = A_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_128]) ).
tff(c_3516,plain,
! [A_201,C_202,B_203] :
( in(A_201,relation_dom(relation_composition(C_202,B_203)))
| ~ in(apply(C_202,A_201),relation_dom(B_203))
| ~ in(A_201,relation_dom(C_202))
| ~ function(C_202)
| ~ relation(C_202)
| ~ function(B_203)
| ~ relation(B_203) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_3534,plain,
! [A_201,C_202,A_34] :
( in(A_201,relation_dom(relation_composition(C_202,identity_relation(A_34))))
| ~ in(apply(C_202,A_201),A_34)
| ~ in(A_201,relation_dom(C_202))
| ~ function(C_202)
| ~ relation(C_202)
| ~ function(identity_relation(A_34))
| ~ relation(identity_relation(A_34)) ),
inference(superposition,[status(thm),theory(equality)],[c_132,c_3516]) ).
tff(c_14117,plain,
! [A_346,C_347,A_348] :
( in(A_346,relation_dom(relation_composition(C_347,identity_relation(A_348))))
| ~ in(apply(C_347,A_346),A_348)
| ~ in(A_346,relation_dom(C_347))
| ~ function(C_347)
| ~ relation(C_347) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_3534]) ).
tff(c_106,plain,
( ~ in(apply('#skF_13','#skF_12'),'#skF_11')
| ~ in('#skF_12',relation_dom('#skF_13'))
| ~ in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_189,plain,
~ in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_14162,plain,
( ~ in(apply('#skF_13','#skF_12'),'#skF_11')
| ~ in('#skF_12',relation_dom('#skF_13'))
| ~ function('#skF_13')
| ~ relation('#skF_13') ),
inference(resolution,[status(thm)],[c_14117,c_189]) ).
tff(c_14244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_139,c_143,c_14162]) ).
tff(c_14245,plain,
( ~ in('#skF_12',relation_dom('#skF_13'))
| ~ in(apply('#skF_13','#skF_12'),'#skF_11') ),
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_14401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143,c_139,c_14245]) ).
tff(c_14403,plain,
~ in(apply('#skF_13','#skF_12'),'#skF_11'),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_14449,plain,
~ in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_14402,plain,
in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_14587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14449,c_14402]) ).
tff(c_14589,plain,
in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))),
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_16606,plain,
! [C_511,A_512,B_513] :
( in(apply(C_511,A_512),relation_dom(B_513))
| ~ in(A_512,relation_dom(relation_composition(C_511,B_513)))
| ~ function(C_511)
| ~ relation(C_511)
| ~ function(B_513)
| ~ relation(B_513) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_16635,plain,
! [C_511,A_512,A_34] :
( in(apply(C_511,A_512),A_34)
| ~ in(A_512,relation_dom(relation_composition(C_511,identity_relation(A_34))))
| ~ function(C_511)
| ~ relation(C_511)
| ~ function(identity_relation(A_34))
| ~ relation(identity_relation(A_34)) ),
inference(superposition,[status(thm),theory(equality)],[c_132,c_16606]) ).
tff(c_22054,plain,
! [C_625,A_626,A_627] :
( in(apply(C_625,A_626),A_627)
| ~ in(A_626,relation_dom(relation_composition(C_625,identity_relation(A_627))))
| ~ function(C_625)
| ~ relation(C_625) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_16635]) ).
tff(c_22127,plain,
( in(apply('#skF_13','#skF_12'),'#skF_11')
| ~ function('#skF_13')
| ~ relation('#skF_13') ),
inference(resolution,[status(thm)],[c_14589,c_22054]) ).
tff(c_22152,plain,
in(apply('#skF_13','#skF_12'),'#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_22127]) ).
tff(c_22154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14403,c_22152]) ).
tff(c_22156,plain,
~ in('#skF_12',relation_dom('#skF_13')),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_22155,plain,
in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_22164,plain,
~ in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_22307,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22155,c_22164]) ).
tff(c_22309,plain,
in('#skF_12',relation_dom(relation_composition('#skF_13',identity_relation('#skF_11')))),
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_24194,plain,
! [A_764,C_765,B_766] :
( in(A_764,relation_dom(C_765))
| ~ in(A_764,relation_dom(relation_composition(C_765,B_766)))
| ~ function(C_765)
| ~ relation(C_765)
| ~ function(B_766)
| ~ relation(B_766) ),
inference(cnfTransformation,[status(thm)],[f_165]) ).
tff(c_24259,plain,
( in('#skF_12',relation_dom('#skF_13'))
| ~ function('#skF_13')
| ~ relation('#skF_13')
| ~ function(identity_relation('#skF_11'))
| ~ relation(identity_relation('#skF_11')) ),
inference(resolution,[status(thm)],[c_22309,c_24194]) ).
tff(c_24305,plain,
in('#skF_12',relation_dom('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_104,c_102,c_24259]) ).
tff(c_24307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22156,c_24305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU009+1 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.13/0.35 % Computer : n020.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 11:38:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 12.78/3.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.78/3.99
% 12.78/3.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.78/4.02
% 12.78/4.02 Inference rules
% 12.78/4.02 ----------------------
% 12.78/4.02 #Ref : 0
% 12.78/4.02 #Sup : 5474
% 12.78/4.02 #Fact : 0
% 12.78/4.02 #Define : 0
% 12.78/4.02 #Split : 29
% 12.78/4.02 #Chain : 0
% 12.78/4.02 #Close : 0
% 12.78/4.02
% 12.78/4.02 Ordering : KBO
% 12.78/4.02
% 12.78/4.02 Simplification rules
% 12.78/4.02 ----------------------
% 12.78/4.02 #Subsume : 1878
% 12.78/4.02 #Demod : 6985
% 12.78/4.02 #Tautology : 2979
% 12.78/4.02 #SimpNegUnit : 148
% 12.78/4.02 #BackRed : 84
% 12.78/4.02
% 12.78/4.02 #Partial instantiations: 0
% 12.78/4.02 #Strategies tried : 1
% 12.78/4.02
% 12.78/4.02 Timing (in seconds)
% 12.78/4.02 ----------------------
% 12.78/4.02 Preprocessing : 0.56
% 12.78/4.02 Parsing : 0.29
% 12.78/4.02 CNF conversion : 0.04
% 12.78/4.02 Main loop : 2.42
% 12.78/4.02 Inferencing : 0.71
% 12.78/4.02 Reduction : 0.87
% 12.78/4.02 Demodulation : 0.62
% 12.78/4.02 BG Simplification : 0.06
% 12.78/4.03 Subsumption : 0.63
% 12.78/4.03 Abstraction : 0.07
% 12.78/4.03 MUC search : 0.00
% 12.78/4.03 Cooper : 0.00
% 12.78/4.03 Total : 3.02
% 12.78/4.03 Index Insertion : 0.00
% 12.78/4.03 Index Deletion : 0.00
% 12.78/4.03 Index Matching : 0.00
% 12.78/4.03 BG Taut test : 0.00
%------------------------------------------------------------------------------