%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SET627+3 : TPTP v9.0.0. Released v2.2.0.
% 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 : n019.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 08:38:56 PM UTC 2025
% Result : Theorem 2.77s 1.64s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 4 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 19 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ member > intersect > disjoint > empty > #nlpp > empty_set > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(intersect,type,
intersect: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(empty,type,
empty: $i > $o ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_44,axiom,
! [B,C] :
( disjoint(B,C)
<=> ~ intersect(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
tff(f_49,axiom,
! [B,C] :
( intersect(B,C)
=> intersect(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_intersect) ).
tff(f_38,axiom,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,B)
& member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
tff(f_30,axiom,
! [B] : ~ member(B,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
tff(f_60,negated_conjecture,
~ ! [B] : disjoint(B,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th104) ).
tff(c_12,plain,
! [B_7,C_8] :
( disjoint(B_7,C_8)
| intersect(B_7,C_8) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_24,plain,
! [C_20,B_21] :
( intersect(C_20,B_21)
| ~ intersect(B_21,C_20) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_27,plain,
! [C_8,B_7] :
( intersect(C_8,B_7)
| disjoint(B_7,C_8) ),
inference(resolution,[status(thm)],[c_12,c_24]) ).
tff(c_51,plain,
! [B_27,C_28] :
( member('#skF_1'(B_27,C_28),B_27)
| ~ intersect(B_27,C_28) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_2,plain,
! [B_1] : ~ member(B_1,empty_set),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_61,plain,
! [C_29] : ~ intersect(empty_set,C_29),
inference(resolution,[status(thm)],[c_51,c_2]) ).
tff(c_70,plain,
! [B_7] : disjoint(B_7,empty_set),
inference(resolution,[status(thm)],[c_27,c_61]) ).
tff(c_20,plain,
~ disjoint('#skF_3',empty_set),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_74,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70,c_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET627+3 : TPTP v9.0.0. Released v2.2.0.
% 0.03/0.13 % 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 : n019.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 21:20:32 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.77/1.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/1.64
% 2.77/1.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------