TSTP Solution File: SEU044+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU044+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 : n009.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 10:57:32 EDT 2023
% Result : Theorem 7.15s 2.64s
% Output : CNFRefutation 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 34
% Syntax : Number of formulae : 82 ( 28 unt; 30 typ; 0 def)
% Number of atoms : 116 ( 2 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 132 ( 68 ~; 47 |; 8 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 18 >; 11 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 25 (; 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation_empty_yielding > relation > one_to_one > function > empty > relation_rng_restriction > apply > #nlpp > relation_dom > powerset > empty_set > #skF_5 > #skF_17 > #skF_11 > #skF_1 > #skF_7 > #skF_10 > #skF_14 > #skF_13 > #skF_2 > #skF_3 > #skF_9 > #skF_8 > #skF_15 > #skF_4 > #skF_6 > #skF_12 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $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(one_to_one,type,
one_to_one: $i > $o ).
tff(relation_rng_restriction,type,
relation_rng_restriction: ( $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_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $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('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_197,negated_conjecture,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( in(B,relation_dom(relation_rng_restriction(A,C)))
<=> ( in(B,relation_dom(C))
& in(apply(C,B),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).
tff(f_129,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( relation(relation_rng_restriction(A,B))
& function(relation_rng_restriction(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
tff(f_121,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
tff(f_220,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( ( B = relation_rng_restriction(A,C) )
<=> ( ! [D] :
( in(D,relation_dom(B))
<=> ( in(D,relation_dom(C))
& in(apply(C,D),A) ) )
& ! [D] :
( in(D,relation_dom(B))
=> ( apply(B,D) = apply(C,D) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
tff(c_104,plain,
relation('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_102,plain,
function('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_54,plain,
! [A_28,B_29] :
( function(relation_rng_restriction(A_28,B_29))
| ~ function(B_29)
| ~ relation(B_29) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_52,plain,
! [A_26,B_27] :
( relation(relation_rng_restriction(A_26,B_27))
| ~ relation(B_27) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_112,plain,
( in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14')))
| in(apply('#skF_14','#skF_13'),'#skF_12') ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_153,plain,
in(apply('#skF_14','#skF_13'),'#skF_12'),
inference(splitLeft,[status(thm)],[c_112]) ).
tff(c_116,plain,
( in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14')))
| in('#skF_13',relation_dom('#skF_14')) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_152,plain,
in('#skF_13',relation_dom('#skF_14')),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_900,plain,
! [D_161,A_162,C_163] :
( in(D_161,relation_dom(relation_rng_restriction(A_162,C_163)))
| ~ in(apply(C_163,D_161),A_162)
| ~ in(D_161,relation_dom(C_163))
| ~ function(C_163)
| ~ relation(C_163)
| ~ function(relation_rng_restriction(A_162,C_163))
| ~ relation(relation_rng_restriction(A_162,C_163)) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_106,plain,
( ~ in(apply('#skF_14','#skF_13'),'#skF_12')
| ~ in('#skF_13',relation_dom('#skF_14'))
| ~ in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14'))) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_189,plain,
~ in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14'))),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_924,plain,
( ~ in(apply('#skF_14','#skF_13'),'#skF_12')
| ~ in('#skF_13',relation_dom('#skF_14'))
| ~ function('#skF_14')
| ~ relation('#skF_14')
| ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(resolution,[status(thm)],[c_900,c_189]) ).
tff(c_938,plain,
( ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_152,c_153,c_924]) ).
tff(c_940,plain,
~ relation(relation_rng_restriction('#skF_12','#skF_14')),
inference(splitLeft,[status(thm)],[c_938]) ).
tff(c_943,plain,
~ relation('#skF_14'),
inference(resolution,[status(thm)],[c_52,c_940]) ).
tff(c_950,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_943]) ).
tff(c_951,plain,
~ function(relation_rng_restriction('#skF_12','#skF_14')),
inference(splitRight,[status(thm)],[c_938]) ).
tff(c_960,plain,
( ~ function('#skF_14')
| ~ relation('#skF_14') ),
inference(resolution,[status(thm)],[c_54,c_951]) ).
tff(c_967,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_960]) ).
tff(c_968,plain,
( ~ in('#skF_13',relation_dom('#skF_14'))
| ~ in(apply('#skF_14','#skF_13'),'#skF_12') ),
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_1143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153,c_152,c_968]) ).
tff(c_1145,plain,
~ in(apply('#skF_14','#skF_13'),'#skF_12'),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_1144,plain,
in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14'))),
inference(splitRight,[status(thm)],[c_112]) ).
tff(c_1710,plain,
! [C_279,D_280,A_281] :
( in(apply(C_279,D_280),A_281)
| ~ in(D_280,relation_dom(relation_rng_restriction(A_281,C_279)))
| ~ function(C_279)
| ~ relation(C_279)
| ~ function(relation_rng_restriction(A_281,C_279))
| ~ relation(relation_rng_restriction(A_281,C_279)) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1717,plain,
( in(apply('#skF_14','#skF_13'),'#skF_12')
| ~ function('#skF_14')
| ~ relation('#skF_14')
| ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(resolution,[status(thm)],[c_1144,c_1710]) ).
tff(c_1721,plain,
( in(apply('#skF_14','#skF_13'),'#skF_12')
| ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_1717]) ).
tff(c_1722,plain,
( ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(negUnitSimplification,[status(thm)],[c_1145,c_1721]) ).
tff(c_1723,plain,
~ relation(relation_rng_restriction('#skF_12','#skF_14')),
inference(splitLeft,[status(thm)],[c_1722]) ).
tff(c_1726,plain,
~ relation('#skF_14'),
inference(resolution,[status(thm)],[c_52,c_1723]) ).
tff(c_1733,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_1726]) ).
tff(c_1734,plain,
~ function(relation_rng_restriction('#skF_12','#skF_14')),
inference(splitRight,[status(thm)],[c_1722]) ).
tff(c_1738,plain,
( ~ function('#skF_14')
| ~ relation('#skF_14') ),
inference(resolution,[status(thm)],[c_54,c_1734]) ).
tff(c_1745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_1738]) ).
tff(c_1747,plain,
~ in('#skF_13',relation_dom('#skF_14')),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_1746,plain,
in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14'))),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_1784,plain,
~ in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14'))),
inference(splitLeft,[status(thm)],[c_106]) ).
tff(c_1897,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1746,c_1784]) ).
tff(c_1899,plain,
in('#skF_13',relation_dom(relation_rng_restriction('#skF_12','#skF_14'))),
inference(splitRight,[status(thm)],[c_106]) ).
tff(c_2293,plain,
! [D_370,C_371,A_372] :
( in(D_370,relation_dom(C_371))
| ~ in(D_370,relation_dom(relation_rng_restriction(A_372,C_371)))
| ~ function(C_371)
| ~ relation(C_371)
| ~ function(relation_rng_restriction(A_372,C_371))
| ~ relation(relation_rng_restriction(A_372,C_371)) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_2300,plain,
( in('#skF_13',relation_dom('#skF_14'))
| ~ function('#skF_14')
| ~ relation('#skF_14')
| ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(resolution,[status(thm)],[c_1899,c_2293]) ).
tff(c_2304,plain,
( in('#skF_13',relation_dom('#skF_14'))
| ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_2300]) ).
tff(c_2305,plain,
( ~ function(relation_rng_restriction('#skF_12','#skF_14'))
| ~ relation(relation_rng_restriction('#skF_12','#skF_14')) ),
inference(negUnitSimplification,[status(thm)],[c_1747,c_2304]) ).
tff(c_2306,plain,
~ relation(relation_rng_restriction('#skF_12','#skF_14')),
inference(splitLeft,[status(thm)],[c_2305]) ).
tff(c_2309,plain,
~ relation('#skF_14'),
inference(resolution,[status(thm)],[c_52,c_2306]) ).
tff(c_2316,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_2309]) ).
tff(c_2317,plain,
~ function(relation_rng_restriction('#skF_12','#skF_14')),
inference(splitRight,[status(thm)],[c_2305]) ).
tff(c_2321,plain,
( ~ function('#skF_14')
| ~ relation('#skF_14') ),
inference(resolution,[status(thm)],[c_54,c_2317]) ).
tff(c_2328,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_102,c_2321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU044+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
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 11:25:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 7.15/2.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.15/2.65
% 7.15/2.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.39/2.69
% 7.39/2.69 Inference rules
% 7.39/2.69 ----------------------
% 7.39/2.69 #Ref : 0
% 7.39/2.69 #Sup : 479
% 7.39/2.69 #Fact : 0
% 7.39/2.69 #Define : 0
% 7.39/2.69 #Split : 27
% 7.39/2.69 #Chain : 0
% 7.39/2.69 #Close : 0
% 7.39/2.69
% 7.39/2.69 Ordering : KBO
% 7.39/2.69
% 7.39/2.69 Simplification rules
% 7.39/2.69 ----------------------
% 7.39/2.69 #Subsume : 79
% 7.39/2.69 #Demod : 255
% 7.39/2.69 #Tautology : 206
% 7.39/2.69 #SimpNegUnit : 9
% 7.39/2.69 #BackRed : 54
% 7.39/2.69
% 7.39/2.69 #Partial instantiations: 0
% 7.39/2.69 #Strategies tried : 1
% 7.39/2.69
% 7.39/2.69 Timing (in seconds)
% 7.39/2.69 ----------------------
% 7.39/2.69 Preprocessing : 0.62
% 7.39/2.69 Parsing : 0.31
% 7.39/2.69 CNF conversion : 0.05
% 7.39/2.69 Main loop : 0.98
% 7.39/2.69 Inferencing : 0.35
% 7.39/2.69 Reduction : 0.29
% 7.39/2.69 Demodulation : 0.20
% 7.39/2.69 BG Simplification : 0.05
% 7.39/2.69 Subsumption : 0.20
% 7.39/2.69 Abstraction : 0.03
% 7.39/2.69 MUC search : 0.00
% 7.39/2.69 Cooper : 0.00
% 7.39/2.69 Total : 1.67
% 7.39/2.69 Index Insertion : 0.00
% 7.39/2.69 Index Deletion : 0.00
% 7.39/2.69 Index Matching : 0.00
% 7.39/2.69 BG Taut test : 0.00
%------------------------------------------------------------------------------