TSTP Solution File: SEU152+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU152+2 : 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 : n023.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 10:57:48 EDT 2023
% Result : Theorem 22.45s 8.92s
% Output : CNFRefutation 22.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 39
% Syntax : Number of formulae : 51 ( 9 unt; 34 typ; 0 def)
% Number of atoms : 25 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 5 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 62 ( 29 >; 33 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 5 con; 0-3 aty)
% Number of variables : 24 (; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > proper_subset > in > disjoint > empty > unordered_pair > set_union2 > set_intersection2 > set_difference > #nlpp > singleton > powerset > empty_set > #skF_13 > #skF_22 > #skF_18 > #skF_17 > #skF_6 > #skF_15 > #skF_20 > #skF_12 > #skF_16 > #skF_19 > #skF_10 > #skF_11 > #skF_7 > #skF_9 > #skF_14 > #skF_3 > #skF_2 > #skF_8 > #skF_1 > #skF_21 > #skF_5 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(set_intersection2,type,
set_intersection2: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_152,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> ( set_union2(singleton(A),B) = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
tff(f_156,lemma,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
tff(f_244,lemma,
! [A,B] : ( set_union2(A,set_difference(B,A)) = set_union2(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
tff(f_274,lemma,
! [A,B] :
( subset(A,B)
=> ( B = set_union2(A,set_difference(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
tff(f_40,axiom,
! [A,B] : ( set_union2(A,B) = set_union2(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
tff(c_164,plain,
in('#skF_15','#skF_16'),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_2032,plain,
! [A_309,B_310] :
( subset(singleton(A_309),B_310)
| ~ in(A_309,B_310) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_228,plain,
! [A_116,B_117] : ( set_union2(A_116,set_difference(B_117,A_116)) = set_union2(A_116,B_117) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_242,plain,
! [A_127,B_128] :
( ( set_union2(A_127,set_difference(B_128,A_127)) = B_128 )
| ~ subset(A_127,B_128) ),
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_277,plain,
! [A_127,B_128] :
( ( set_union2(A_127,B_128) = B_128 )
| ~ subset(A_127,B_128) ),
inference(demodulation,[status(thm),theory(equality)],[c_228,c_242]) ).
tff(c_29953,plain,
! [A_53776,B_53777] :
( ( set_union2(singleton(A_53776),B_53777) = B_53777 )
| ~ in(A_53776,B_53777) ),
inference(resolution,[status(thm)],[c_2032,c_277]) ).
tff(c_8,plain,
! [B_8,A_7] : ( set_union2(B_8,A_7) = set_union2(A_7,B_8) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_52713,plain,
! [B_77472,A_77473] :
( ( set_union2(B_77472,singleton(A_77473)) = B_77472 )
| ~ in(A_77473,B_77472) ),
inference(superposition,[status(thm),theory(equality)],[c_29953,c_8]) ).
tff(c_162,plain,
set_union2(singleton('#skF_15'),'#skF_16') != '#skF_16',
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_282,plain,
set_union2('#skF_16',singleton('#skF_15')) != '#skF_16',
inference(demodulation,[status(thm),theory(equality)],[c_8,c_162]) ).
tff(c_53366,plain,
~ in('#skF_15','#skF_16'),
inference(superposition,[status(thm),theory(equality)],[c_52713,c_282]) ).
tff(c_53462,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_164,c_53366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU152+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % 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
% 0.12/0.35 % Computer : n023.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Aug 3 12:06:37 EDT 2023
% 0.12/0.35 % CPUTime :
% 22.45/8.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.45/8.92
% 22.45/8.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.45/8.95
% 22.45/8.95 Inference rules
% 22.45/8.95 ----------------------
% 22.45/8.95 #Ref : 6
% 22.45/8.95 #Sup : 12657
% 22.45/8.95 #Fact : 6
% 22.45/8.95 #Define : 0
% 22.45/8.95 #Split : 10
% 22.45/8.95 #Chain : 0
% 22.45/8.95 #Close : 0
% 22.45/8.95
% 22.45/8.95 Ordering : KBO
% 22.45/8.95
% 22.45/8.95 Simplification rules
% 22.45/8.95 ----------------------
% 22.45/8.95 #Subsume : 6132
% 22.45/8.95 #Demod : 2790
% 22.45/8.95 #Tautology : 2342
% 22.45/8.95 #SimpNegUnit : 179
% 22.45/8.95 #BackRed : 12
% 22.45/8.95
% 22.45/8.95 #Partial instantiations: 41528
% 22.45/8.95 #Strategies tried : 1
% 22.45/8.95
% 22.45/8.95 Timing (in seconds)
% 22.45/8.95 ----------------------
% 22.45/8.95 Preprocessing : 0.71
% 22.45/8.95 Parsing : 0.35
% 22.45/8.95 CNF conversion : 0.07
% 22.45/8.96 Main loop : 7.18
% 22.45/8.96 Inferencing : 1.69
% 22.45/8.96 Reduction : 2.90
% 22.45/8.96 Demodulation : 1.93
% 22.45/8.96 BG Simplification : 0.10
% 22.45/8.96 Subsumption : 1.98
% 22.45/8.96 Abstraction : 0.12
% 22.45/8.96 MUC search : 0.00
% 22.45/8.96 Cooper : 0.00
% 22.45/8.96 Total : 7.94
% 22.45/8.96 Index Insertion : 0.00
% 22.45/8.96 Index Deletion : 0.00
% 22.45/8.96 Index Matching : 0.00
% 22.45/8.96 BG Taut test : 0.00
%------------------------------------------------------------------------------