%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU124+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 : n006.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 08:52:50 PM UTC 2025
% Result : Theorem 4.09s 2.05s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 5 ~; 5 |; 0 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > empty > set_union2 > #nlpp > empty_set > #skF_1 > #skF_7 > #skF_3 > #skF_5 > #skF_6 > #skF_2 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_1',type,
'#skF_1': ( $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('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff(f_49,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_42,axiom,
! [A,B,C] :
( ( C = set_union2(A,B) )
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
| in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
tff(f_86,negated_conjecture,
~ ! [A,B] : subset(A,set_union2(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
tff(c_28,plain,
! [A_11,B_12] :
( in('#skF_3'(A_11,B_12),A_11)
| subset(A_11,B_12) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_10,plain,
! [D_10,A_5,B_6] :
( ~ in(D_10,A_5)
| in(D_10,set_union2(A_5,B_6)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_356,plain,
! [A_69,B_70] :
( ~ in('#skF_3'(A_69,B_70),B_70)
| subset(A_69,B_70) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_924,plain,
! [A_138,A_139,B_140] :
( subset(A_138,set_union2(A_139,B_140))
| ~ in('#skF_3'(A_138,set_union2(A_139,B_140)),A_139) ),
inference(resolution,[status(thm)],[c_10,c_356]) ).
tff(c_957,plain,
! [A_11,B_140] : subset(A_11,set_union2(A_11,B_140)),
inference(resolution,[status(thm)],[c_28,c_924]) ).
tff(c_54,plain,
~ subset('#skF_6',set_union2('#skF_6','#skF_7')),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_957,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU124+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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 22:05:07 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.09/2.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.09/2.05
% 4.09/2.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------