%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM533+2 : 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 : n012.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 07:56:17 PM UTC 2025
% Result : Theorem 2.81s 1.78s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 16 ( 6 ~; 3 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > #nlpp > xC > xB > xA > slcrc0 > #skF_1 > #skF_3 > #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(xB,type,
xB: $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(xC,type,
xC: $i ).
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_133,negated_conjecture,
~ ( ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xB,xC) )
=> ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) )
| aSubsetOf0(xA,xC) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_48,plain,
aElementOf0('#skF_3',xA),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_56,plain,
! [W0_30] :
( aElementOf0(W0_30,xB)
| ~ aElementOf0(W0_30,xA) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_69,plain,
! [W0_36] :
( aElementOf0(W0_36,xC)
| ~ aElementOf0(W0_36,xB) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_46,plain,
~ aElementOf0('#skF_3',xC),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_73,plain,
~ aElementOf0('#skF_3',xB),
inference(resolution,[status(thm)],[c_69,c_46]) ).
tff(c_76,plain,
~ aElementOf0('#skF_3',xA),
inference(resolution,[status(thm)],[c_56,c_73]) ).
tff(c_80,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16 % Problem : NUM533+2 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.17 % 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
% 0.13/0.39 % Computer : n012.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Tue Apr 8 13:19:44 EDT 2025
% 0.13/0.40 % CPUTime :
% 2.81/1.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.12/1.78
% 3.12/1.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------