%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU155+2 : TPTP v9.0.0. Released v3.3.0.
% 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 : n029.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 : Wed Apr 9 08:52:58 PM UTC 2025
% Result : Theorem 8.97s 3.09s
% Output : CNFRefutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 6 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 17 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > proper_subset > in > disjoint > empty > unordered_pair > set_union2 > set_intersection2 > set_difference > #nlpp > union > singleton > powerset > empty_set > #skF_17 > #skF_20 > #skF_26 > #skF_6 > #skF_18 > #skF_12 > #skF_19 > #skF_13 > #skF_14 > #skF_10 > #skF_21 > #skF_11 > #skF_7 > #skF_9 > #skF_24 > #skF_23 > #skF_3 > #skF_22 > #skF_25 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_15 > #skF_4 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(union,type,
union: $i > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
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_21',type,
'#skF_21': $i ).
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_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $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_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_196,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).
tff(f_93,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_112,axiom,
! [A,B] :
( ( B = union(A) )
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( in(C,D)
& in(D,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
tff(c_204,plain,
~ subset('#skF_19',union('#skF_20')),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_86,plain,
! [A_39,B_40] :
( in('#skF_10'(A_39,B_40),A_39)
| subset(A_39,B_40) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_206,plain,
in('#skF_19','#skF_20'),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_5246,plain,
! [C_499,A_500,D_501] :
( in(C_499,union(A_500))
| ~ in(D_501,A_500)
| ~ in(C_499,D_501) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_5421,plain,
! [C_505] :
( in(C_505,union('#skF_20'))
| ~ in(C_505,'#skF_19') ),
inference(resolution,[status(thm)],[c_206,c_5246]) ).
tff(c_84,plain,
! [A_39,B_40] :
( ~ in('#skF_10'(A_39,B_40),B_40)
| subset(A_39,B_40) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_9308,plain,
! [A_615] :
( subset(A_615,union('#skF_20'))
| ~ in('#skF_10'(A_615,union('#skF_20')),'#skF_19') ),
inference(resolution,[status(thm)],[c_5421,c_84]) ).
tff(c_9315,plain,
subset('#skF_19',union('#skF_20')),
inference(resolution,[status(thm)],[c_86,c_9308]) ).
tff(c_9319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_9315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU155+2 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.12 % 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
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 22:09:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 8.97/3.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.97/3.10
% 8.97/3.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------