TSTP Solution File: SEU229+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU229+3 : 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 : n022.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 10:58:05 EDT 2023
% Result : Theorem 20.86s 9.78s
% Output : CNFRefutation 20.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 53 ( 8 unt; 27 typ; 0 def)
% Number of atoms : 74 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 45 ~; 39 |; 7 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 13 >; 11 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-4 aty)
% Number of variables : 71 (; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > element > relation_non_empty > relation_empty_yielding > relation > one_to_one > function > empty > unordered_triple > #nlpp > empty_set > #skF_11 > #skF_15 > #skF_17 > #skF_7 > #skF_10 > #skF_16 > #skF_14 > #skF_5 > #skF_2 > #skF_6 > #skF_13 > #skF_9 > #skF_8 > #skF_4 > #skF_3 > #skF_1 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff(unordered_triple,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(relation_non_empty,type,
relation_non_empty: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
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('#skF_16',type,
'#skF_16': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_142,negated_conjecture,
~ ! [A,B,C] :
~ ( in(A,B)
& in(B,C)
& in(C,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_ordinal1) ).
tff(f_66,axiom,
! [A,B,C,D] :
( ( D = unordered_triple(A,B,C) )
<=> ! [E] :
( in(E,D)
<=> ~ ( ( E != A )
& ( E != B )
& ( E != C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_enumset1) ).
tff(f_164,axiom,
! [A,B] :
~ ( in(A,B)
& ! [C] :
~ ( in(C,B)
& ! [D] :
~ ( in(D,B)
& in(D,C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
tff(c_102,plain,
in('#skF_15','#skF_16'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_100,plain,
in('#skF_16','#skF_14'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_104,plain,
in('#skF_14','#skF_15'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_20,plain,
! [E_12,B_7,C_8] : in(E_12,unordered_triple(E_12,B_7,C_8)),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_18,plain,
! [E_12,A_6,C_8] : in(E_12,unordered_triple(A_6,E_12,C_8)),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_16,plain,
! [E_12,A_6,B_7] : in(E_12,unordered_triple(A_6,B_7,E_12)),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_112,plain,
! [A_22,B_23] :
( in('#skF_17'(A_22,B_23),B_23)
| ~ in(A_22,B_23) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_435,plain,
! [E_98,C_99,B_100,A_101] :
( ( E_98 = C_99 )
| ( E_98 = B_100 )
| ( E_98 = A_101 )
| ~ in(E_98,unordered_triple(A_101,B_100,C_99)) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_2058,plain,
! [A_228,A_229,B_230,C_231] :
( ( '#skF_17'(A_228,unordered_triple(A_229,B_230,C_231)) = C_231 )
| ( '#skF_17'(A_228,unordered_triple(A_229,B_230,C_231)) = B_230 )
| ( '#skF_17'(A_228,unordered_triple(A_229,B_230,C_231)) = A_229 )
| ~ in(A_228,unordered_triple(A_229,B_230,C_231)) ),
inference(resolution,[status(thm)],[c_112,c_435]) ).
tff(c_6068,plain,
! [E_356,A_357,C_358] :
( ( '#skF_17'(E_356,unordered_triple(A_357,E_356,C_358)) = C_358 )
| ( '#skF_17'(E_356,unordered_triple(A_357,E_356,C_358)) = E_356 )
| ( '#skF_17'(E_356,unordered_triple(A_357,E_356,C_358)) = A_357 ) ),
inference(resolution,[status(thm)],[c_18,c_2058]) ).
tff(c_110,plain,
! [D_28,A_22,B_23] :
( ~ in(D_28,'#skF_17'(A_22,B_23))
| ~ in(D_28,B_23)
| ~ in(A_22,B_23) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_6165,plain,
! [D_28,C_358,A_357,E_356] :
( ~ in(D_28,C_358)
| ~ in(D_28,unordered_triple(A_357,E_356,C_358))
| ~ in(E_356,unordered_triple(A_357,E_356,C_358))
| ( '#skF_17'(E_356,unordered_triple(A_357,E_356,C_358)) = E_356 )
| ( '#skF_17'(E_356,unordered_triple(A_357,E_356,C_358)) = A_357 ) ),
inference(superposition,[status(thm),theory(equality)],[c_6068,c_110]) ).
tff(c_46671,plain,
! [D_993,C_994,A_995,E_996] :
( ~ in(D_993,C_994)
| ~ in(D_993,unordered_triple(A_995,E_996,C_994))
| ( '#skF_17'(E_996,unordered_triple(A_995,E_996,C_994)) = E_996 )
| ( '#skF_17'(E_996,unordered_triple(A_995,E_996,C_994)) = A_995 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6165]) ).
tff(c_46729,plain,
! [E_997,C_998,A_999] :
( ~ in(E_997,C_998)
| ( '#skF_17'(E_997,unordered_triple(A_999,E_997,C_998)) = E_997 )
| ( '#skF_17'(E_997,unordered_triple(A_999,E_997,C_998)) = A_999 ) ),
inference(resolution,[status(thm)],[c_18,c_46671]) ).
tff(c_47326,plain,
! [D_28,A_999,E_997,C_998] :
( ~ in(D_28,A_999)
| ~ in(D_28,unordered_triple(A_999,E_997,C_998))
| ~ in(E_997,unordered_triple(A_999,E_997,C_998))
| ~ in(E_997,C_998)
| ( '#skF_17'(E_997,unordered_triple(A_999,E_997,C_998)) = E_997 ) ),
inference(superposition,[status(thm),theory(equality)],[c_46729,c_110]) ).
tff(c_48973,plain,
! [D_1003,A_1004,E_1005,C_1006] :
( ~ in(D_1003,A_1004)
| ~ in(D_1003,unordered_triple(A_1004,E_1005,C_1006))
| ~ in(E_1005,C_1006)
| ( '#skF_17'(E_1005,unordered_triple(A_1004,E_1005,C_1006)) = E_1005 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_47326]) ).
tff(c_49763,plain,
! [E_1014,A_1015,B_1016] :
( ~ in(E_1014,A_1015)
| ~ in(B_1016,E_1014)
| ( '#skF_17'(B_1016,unordered_triple(A_1015,B_1016,E_1014)) = B_1016 ) ),
inference(resolution,[status(thm)],[c_16,c_48973]) ).
tff(c_50169,plain,
! [D_28,B_1016,A_1015,E_1014] :
( ~ in(D_28,B_1016)
| ~ in(D_28,unordered_triple(A_1015,B_1016,E_1014))
| ~ in(B_1016,unordered_triple(A_1015,B_1016,E_1014))
| ~ in(E_1014,A_1015)
| ~ in(B_1016,E_1014) ),
inference(superposition,[status(thm),theory(equality)],[c_49763,c_110]) ).
tff(c_50520,plain,
! [D_1021,B_1022,A_1023,E_1024] :
( ~ in(D_1021,B_1022)
| ~ in(D_1021,unordered_triple(A_1023,B_1022,E_1024))
| ~ in(E_1024,A_1023)
| ~ in(B_1022,E_1024) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_50169]) ).
tff(c_50579,plain,
! [E_1025,B_1026,C_1027] :
( ~ in(E_1025,B_1026)
| ~ in(C_1027,E_1025)
| ~ in(B_1026,C_1027) ),
inference(resolution,[status(thm)],[c_20,c_50520]) ).
tff(c_50628,plain,
! [C_1028] :
( ~ in(C_1028,'#skF_14')
| ~ in('#skF_15',C_1028) ),
inference(resolution,[status(thm)],[c_104,c_50579]) ).
tff(c_50642,plain,
~ in('#skF_15','#skF_16'),
inference(resolution,[status(thm)],[c_100,c_50628]) ).
tff(c_50652,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_102,c_50642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU229+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 11:37:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 20.86/9.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.86/9.78
% 20.86/9.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.92/9.81
% 20.92/9.81 Inference rules
% 20.92/9.81 ----------------------
% 20.92/9.81 #Ref : 0
% 20.92/9.81 #Sup : 11534
% 20.92/9.81 #Fact : 100
% 20.92/9.81 #Define : 0
% 20.92/9.81 #Split : 4
% 20.92/9.81 #Chain : 0
% 20.92/9.81 #Close : 0
% 20.92/9.81
% 20.92/9.81 Ordering : KBO
% 20.92/9.81
% 20.92/9.81 Simplification rules
% 20.92/9.81 ----------------------
% 20.92/9.81 #Subsume : 4908
% 20.92/9.81 #Demod : 4551
% 20.92/9.81 #Tautology : 1098
% 20.92/9.81 #SimpNegUnit : 900
% 20.92/9.81 #BackRed : 13
% 20.92/9.81
% 20.92/9.81 #Partial instantiations: 0
% 20.92/9.81 #Strategies tried : 1
% 20.92/9.81
% 20.92/9.81 Timing (in seconds)
% 20.92/9.81 ----------------------
% 20.92/9.81 Preprocessing : 0.56
% 20.92/9.81 Parsing : 0.28
% 20.92/9.81 CNF conversion : 0.05
% 20.92/9.81 Main loop : 8.13
% 20.92/9.81 Inferencing : 1.91
% 20.92/9.81 Reduction : 2.03
% 20.92/9.81 Demodulation : 1.40
% 20.92/9.81 BG Simplification : 0.17
% 20.92/9.81 Subsumption : 3.68
% 20.92/9.81 Abstraction : 0.35
% 20.92/9.81 MUC search : 0.00
% 20.92/9.81 Cooper : 0.00
% 20.92/9.82 Total : 8.74
% 20.92/9.82 Index Insertion : 0.00
% 20.92/9.82 Index Deletion : 0.00
% 20.92/9.82 Index Matching : 0.00
% 20.92/9.82 BG Taut test : 0.00
%------------------------------------------------------------------------------