%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU145+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 : n017.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 08:52:55 PM UTC 2025
% Result : Theorem 72.16s 55.18s
% Output : CNFRefutation 72.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 14 ~; 18 |; 1 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > set_difference > #nlpp > singleton > #skF_4 > #skF_7 > #skF_3 > #skF_6 > #skF_5 > #skF_8 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_63,negated_conjecture,
~ ! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
tff(f_45,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_55,axiom,
! [A,B,C] :
( ( C = set_difference(A,B) )
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
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_44,plain,
~ subset('#skF_6',set_difference('#skF_7',singleton('#skF_8'))),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_46,plain,
~ in('#skF_8','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_48,plain,
subset('#skF_6','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_20,plain,
! [A_8,B_9] :
( in('#skF_3'(A_8,B_9),A_8)
| subset(A_8,B_9) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_93,plain,
! [C_40,B_41,A_42] :
( in(C_40,B_41)
| ~ in(C_40,A_42)
| ~ subset(A_42,B_41) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_98,plain,
! [A_8,B_9,B_41] :
( in('#skF_3'(A_8,B_9),B_41)
| ~ subset(A_8,B_41)
| subset(A_8,B_9) ),
inference(resolution,[status(thm)],[c_20,c_93]) ).
tff(c_132,plain,
! [D_51,A_52,B_53] :
( in(D_51,set_difference(A_52,B_53))
| in(D_51,B_53)
| ~ in(D_51,A_52) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_18,plain,
! [A_8,B_9] :
( ~ in('#skF_3'(A_8,B_9),B_9)
| subset(A_8,B_9) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_10551,plain,
! [A_3006,A_3007,B_3008] :
( subset(A_3006,set_difference(A_3007,B_3008))
| in('#skF_3'(A_3006,set_difference(A_3007,B_3008)),B_3008)
| ~ in('#skF_3'(A_3006,set_difference(A_3007,B_3008)),A_3007) ),
inference(resolution,[status(thm)],[c_132,c_18]) ).
tff(c_24602,plain,
! [A_3258,B_3259,B_3260] :
( in('#skF_3'(A_3258,set_difference(B_3259,B_3260)),B_3260)
| ~ subset(A_3258,B_3259)
| subset(A_3258,set_difference(B_3259,B_3260)) ),
inference(resolution,[status(thm)],[c_98,c_10551]) ).
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_323759,plain,
! [A_45396,B_45397,A_45398] :
( ( '#skF_3'(A_45396,set_difference(B_45397,singleton(A_45398))) = A_45398 )
| ~ subset(A_45396,B_45397)
| subset(A_45396,set_difference(B_45397,singleton(A_45398))) ),
inference(resolution,[status(thm)],[c_24602,c_4]) ).
tff(c_324327,plain,
( ( '#skF_3'('#skF_6',set_difference('#skF_7',singleton('#skF_8'))) = '#skF_8' )
| ~ subset('#skF_6','#skF_7') ),
inference(resolution,[status(thm)],[c_323759,c_44]) ).
tff(c_324921,plain,
'#skF_3'('#skF_6',set_difference('#skF_7',singleton('#skF_8'))) = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_48,c_324327]) ).
tff(c_325052,plain,
( in('#skF_8','#skF_6')
| subset('#skF_6',set_difference('#skF_7',singleton('#skF_8'))) ),
inference(superposition,[status(thm),theory(equality)],[c_324921,c_20]) ).
tff(c_325172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_46,c_325052]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU145+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/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
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 22:07:25 EDT 2025
% 0.19/0.34 % CPUTime :
% 72.16/55.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.16/55.18
% 72.16/55.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------