%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU172+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/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 : n026.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 08:53:04 PM UTC 2025
% Result : Theorem 3.51s 1.86s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 2 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > element > empty > subset_complement > set_difference > #nlpp > powerset > empty_set > #skF_5 > #skF_2 > #skF_1 > #skF_7 > #skF_6 > #skF_3 > #skF_9 > #skF_8 > #skF_4 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(in,type,
in: ( $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_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(subset_complement,type,
subset_complement: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_99,negated_conjecture,
~ ! [A,B,C] :
( element(C,powerset(A))
=> ~ ( in(B,subset_complement(A,C))
& in(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
tff(f_91,axiom,
! [A,B] :
( element(B,powerset(A))
=> ( subset_complement(A,B) = set_difference(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
tff(f_109,axiom,
! [A,B,C] :
( ( C = set_difference(A,B) )
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
tff(c_46,plain,
in('#skF_7','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_50,plain,
element('#skF_8',powerset('#skF_6')),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_203,plain,
! [A_58,B_59] :
( ( subset_complement(A_58,B_59) = set_difference(A_58,B_59) )
| ~ element(B_59,powerset(A_58)) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_225,plain,
subset_complement('#skF_6','#skF_8') = set_difference('#skF_6','#skF_8'),
inference(resolution,[status(thm)],[c_50,c_203]) ).
tff(c_48,plain,
in('#skF_7',subset_complement('#skF_6','#skF_8')),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_290,plain,
in('#skF_7',set_difference('#skF_6','#skF_8')),
inference(demodulation,[status(thm),theory(equality)],[c_225,c_48]) ).
tff(c_54,plain,
! [D_28,B_24,A_23] :
( ~ in(D_28,B_24)
| ~ in(D_28,set_difference(A_23,B_24)) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_302,plain,
~ in('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_290,c_54]) ).
tff(c_314,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU172+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.13 % 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 : n026.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 : Tue Apr 8 22:12:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.51/1.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.51/1.86
% 3.51/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------