%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM531+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 : n005.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 2.74s 1.81s
% Output : CNFRefutation 2.74s
% 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 : 19 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 3 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 3 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > #nlpp > 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('#skF_2',type,
'#skF_2': $i ).
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(f_77,negated_conjecture,
~ ! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ ( ~ ? [W1] : aElementOf0(W1,W0)
& ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_53,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
tff(c_28,plain,
aSet0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_26,plain,
isCountable0('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_22,plain,
slcrc0 = '#skF_2',
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_16,plain,
isFinite0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_29,plain,
isFinite0('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_16]) ).
tff(c_38,plain,
! [W0_16] :
( ~ isFinite0(W0_16)
| ~ isCountable0(W0_16)
| ~ aSet0(W0_16) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_41,plain,
( ~ isCountable0('#skF_2')
| ~ aSet0('#skF_2') ),
inference(resolution,[status(thm)],[c_29,c_38]) ).
tff(c_45,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.23 % Problem : NUM531+2 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.23 % 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 : n005.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 13:22:13 EDT 2025
% 0.13/0.49 % CPUTime :
% 2.74/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/1.81
% 2.74/1.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------