%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM532+1 : TPTP v9.0.0. Released v4.0.0.
% 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 : n010.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 07:56:16 PM UTC 2025
% Result : Theorem 2.98s 1.88s
% Output : CNFRefutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 1 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 20 ( 9 ~; 7 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > #nlpp > xA > slcrc0 > #skF_1 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(slcrc0,type,
slcrc0: $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(xA,type,
xA: $i ).
tff(f_94,hypothesis,
aSet0(xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__467) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
tff(f_96,negated_conjecture,
~ aSubsetOf0(xA,xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_34,plain,
aSet0(xA),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_69,plain,
! [W0_42,W1_43] :
( aElementOf0('#skF_2'(W0_42,W1_43),W1_43)
| aSubsetOf0(W1_43,W0_42)
| ~ aSet0(W1_43)
| ~ aSet0(W0_42) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_28,plain,
! [W0_14,W1_20] :
( ~ aElementOf0('#skF_2'(W0_14,W1_20),W0_14)
| aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W1_20)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_89,plain,
! [W1_44] :
( aSubsetOf0(W1_44,W1_44)
| ~ aSet0(W1_44) ),
inference(resolution,[status(thm)],[c_69,c_28]) ).
tff(c_36,plain,
~ aSubsetOf0(xA,xA),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_98,plain,
~ aSet0(xA),
inference(resolution,[status(thm)],[c_89,c_36]) ).
tff(c_104,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.26 % Problem : NUM532+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.26 % 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
% 0.13/0.48 % Computer : n010.cluster.edu
% 0.13/0.48 % Model : x86_64 x86_64
% 0.13/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.48 % Memory : 8042.1875MB
% 0.13/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.48 % CPULimit : 300
% 0.13/0.48 % WCLimit : 300
% 0.13/0.48 % DateTime : Tue Apr 8 13:20:49 EDT 2025
% 0.13/0.49 % CPUTime :
% 2.98/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.98/1.88
% 2.98/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------