%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET001-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n011.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 08:37:24 PM UTC 2025
% Result : Unsatisfiable 2.77s 1.72s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > member > equal_sets > member_of_1_not_of_2 > #nlpp > element_of_b > bb > b
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(bb,type,
bb: $i ).
tff(member_of_1_not_of_2,type,
member_of_1_not_of_2: ( $i * $i ) > $i ).
tff(element_of_b,type,
element_of_b: $i ).
tff(b,type,
b: $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff(equal_sets,type,
equal_sets: ( $i * $i ) > $o ).
tff(f_82,axiom,
equal_sets(b,bb),
file(unknown,unknown) ).
tff(f_83,axiom,
member(element_of_b,b),
file(unknown,unknown) ).
tff(f_66,axiom,
! [Subset,Superset] :
( ~ equal_sets(Subset,Superset)
| subset(Subset,Superset) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [Element,Subset,Superset] :
( ~ member(Element,Subset)
| ~ subset(Subset,Superset)
| member(Element,Superset) ),
file(unknown,unknown) ).
tff(f_85,axiom,
~ member(element_of_b,bb),
file(unknown,unknown) ).
tff(c_14,plain,
equal_sets(b,bb),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_16,plain,
member(element_of_b,b),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_8,plain,
! [Subset_8,Superset_9] :
( subset(Subset_8,Superset_9)
| ~ equal_sets(Subset_8,Superset_9) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_29,plain,
! [Element_23,Superset_24,Subset_25] :
( member(Element_23,Superset_24)
| ~ subset(Subset_25,Superset_24)
| ~ member(Element_23,Subset_25) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_79,plain,
! [Element_33,Superset_34,Subset_35] :
( member(Element_33,Superset_34)
| ~ member(Element_33,Subset_35)
| ~ equal_sets(Subset_35,Superset_34) ),
inference(resolution,[status(thm)],[c_8,c_29]) ).
tff(c_93,plain,
! [Superset_39] :
( member(element_of_b,Superset_39)
| ~ equal_sets(b,Superset_39) ),
inference(resolution,[status(thm)],[c_16,c_79]) ).
tff(c_18,plain,
~ member(element_of_b,bb),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_100,plain,
~ equal_sets(b,bb),
inference(resolution,[status(thm)],[c_93,c_18]) ).
tff(c_106,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET001-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % 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 : n011.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 19:37:48 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.77/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/1.72
% 2.77/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------