%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU161+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 : n032.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 08:53:00 PM UTC 2025
% Result : Theorem 2.19s 1.52s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > set_union2 > #nlpp > singleton > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff(f_41,negated_conjecture,
~ ! [A,B] :
( in(A,B)
=> ( set_union2(singleton(A),B) = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_zfmisc_1) ).
tff(f_45,axiom,
! [A,B] :
( in(A,B)
=> ( set_union2(singleton(A),B) = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
tff(f_28,axiom,
! [A,B] : ( set_union2(A,B) = set_union2(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
tff(c_14,plain,
in('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_64,plain,
! [A_14,B_15] :
( ( set_union2(singleton(A_14),B_15) = B_15 )
| ~ in(A_14,B_15) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_2,plain,
! [B_2,A_1] : ( set_union2(B_2,A_1) = set_union2(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_97,plain,
! [B_16,A_17] :
( ( set_union2(B_16,singleton(A_17)) = B_16 )
| ~ in(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_2]) ).
tff(c_12,plain,
set_union2(singleton('#skF_1'),'#skF_2') != '#skF_2',
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_17,plain,
set_union2('#skF_2',singleton('#skF_1')) != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12]) ).
tff(c_113,plain,
~ in('#skF_1','#skF_2'),
inference(superposition,[status(thm),theory(equality)],[c_97,c_17]) ).
tff(c_141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU161+1 : TPTP v9.0.0. Released v3.3.0.
% 0.05/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Apr 8 22:10:00 EDT 2025
% 0.10/0.29 % CPUTime :
% 2.19/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/1.52
% 2.35/1.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------