%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU148+1 : 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 : n014.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 08:52:56 PM UTC 2025
% Result : Theorem 2.60s 1.61s
% Output : CNFRefutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 5 |; 0 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > empty > #nlpp > singleton > empty_set > #skF_5 > #skF_6 > #skF_3 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_61,negated_conjecture,
~ ! [A,B] :
( subset(singleton(A),singleton(B))
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
tff(f_43,axiom,
! [A] : ( singleton(A) != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).
tff(f_49,axiom,
! [A,B] :
( subset(A,singleton(B))
<=> ( ( A = empty_set )
| ( A = singleton(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).
tff(f_38,axiom,
! [A,B] :
( ( B = singleton(A) )
<=> ! [C] :
( in(C,B)
<=> ( C = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
tff(c_36,plain,
'#skF_5' != '#skF_6',
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_22,plain,
! [A_8] : ( singleton(A_8) != empty_set ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_38,plain,
subset(singleton('#skF_5'),singleton('#skF_6')),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_55,plain,
! [B_22,A_23] :
( ( singleton(B_22) = A_23 )
| ( empty_set = A_23 )
| ~ subset(A_23,singleton(B_22)) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_58,plain,
( ( singleton('#skF_5') = singleton('#skF_6') )
| ( singleton('#skF_5') = empty_set ) ),
inference(resolution,[status(thm)],[c_38,c_55]) ).
tff(c_68,plain,
singleton('#skF_5') = singleton('#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_22,c_58]) ).
tff(c_6,plain,
! [C_7] : in(C_7,singleton(C_7)),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_93,plain,
in('#skF_5',singleton('#skF_6')),
inference(superposition,[status(thm),theory(equality)],[c_68,c_6]) ).
tff(c_4,plain,
! [C_7,A_3] :
( ( C_7 = A_3 )
| ~ in(C_7,singleton(A_3)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_106,plain,
'#skF_5' = '#skF_6',
inference(resolution,[status(thm)],[c_93,c_4]) ).
tff(c_111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU148+1 : TPTP v9.0.0. Released v3.3.0.
% 0.05/0.10 % 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
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 8 22:07:49 EDT 2025
% 0.10/0.30 % CPUTime :
% 2.60/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/1.61
% 2.60/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------