%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU209+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 : n009.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 08:53:12 PM UTC 2025
% Result : Theorem 54.79s 41.52s
% Output : CNFRefutation 54.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 11 |; 1 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 7 con; 0-4 aty)
% Number of variables : 32 ( 30 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation > empty > unordered_pair > relation_inverse_image > ordered_pair > #nlpp > singleton > relation_dom > powerset > empty_set > #skF_6 > #skF_1 > #skF_18 > #skF_17 > #skF_11 > #skF_16 > #skF_15 > #skF_14 > #skF_10 > #skF_13 > #skF_2 > #skF_8 > #skF_9 > #skF_4 > #skF_3 > #skF_12 > #skF_7 > #skF_5
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $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_11',type,
'#skF_11': $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff(relation_inverse_image,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(f_139,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_inverse_image(B,A),relation_dom(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t167_relat_1) ).
tff(f_57,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_50,axiom,
! [A] :
( relation(A)
=> ! [B,C] :
( ( C = relation_inverse_image(A,B) )
<=> ! [D] :
( in(D,C)
<=> ? [E] :
( in(ordered_pair(D,E),A)
& in(E,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
tff(f_68,axiom,
! [A] :
( relation(A)
=> ! [B] :
( ( B = relation_dom(A) )
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
tff(c_108,plain,
relation('#skF_18'),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_30,plain,
! [A_48,B_49] :
( in('#skF_5'(A_48,B_49),A_48)
| subset(A_48,B_49) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1029,plain,
! [D_262,A_263,B_264] :
( in(ordered_pair(D_262,'#skF_4'(A_263,B_264,relation_inverse_image(A_263,B_264),D_262)),A_263)
| ~ in(D_262,relation_inverse_image(A_263,B_264))
| ~ relation(A_263) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_34,plain,
! [C_89,A_53,D_92] :
( in(C_89,relation_dom(A_53))
| ~ in(ordered_pair(C_89,D_92),A_53)
| ~ relation(A_53) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_2675,plain,
! [D_349,A_350,B_351] :
( in(D_349,relation_dom(A_350))
| ~ in(D_349,relation_inverse_image(A_350,B_351))
| ~ relation(A_350) ),
inference(resolution,[status(thm)],[c_1029,c_34]) ).
tff(c_296429,plain,
! [A_2296,B_2297,B_2298] :
( in('#skF_5'(relation_inverse_image(A_2296,B_2297),B_2298),relation_dom(A_2296))
| ~ relation(A_2296)
| subset(relation_inverse_image(A_2296,B_2297),B_2298) ),
inference(resolution,[status(thm)],[c_30,c_2675]) ).
tff(c_28,plain,
! [A_48,B_49] :
( ~ in('#skF_5'(A_48,B_49),B_49)
| subset(A_48,B_49) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_297015,plain,
! [A_2299,B_2300] :
( ~ relation(A_2299)
| subset(relation_inverse_image(A_2299,B_2300),relation_dom(A_2299)) ),
inference(resolution,[status(thm)],[c_296429,c_28]) ).
tff(c_106,plain,
~ subset(relation_inverse_image('#skF_18','#skF_17'),relation_dom('#skF_18')),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_297119,plain,
~ relation('#skF_18'),
inference(resolution,[status(thm)],[c_297015,c_106]) ).
tff(c_297610,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_297119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU209+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n009.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 22:19:11 EDT 2025
% 0.13/0.34 % CPUTime :
% 54.79/41.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.79/41.52
% 54.79/41.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------