%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWW469+1 : TPTP v9.0.0. Released v5.3.0.
% 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 : n019.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 09:52:41 PM UTC 2025
% Result : Theorem 2.82s 1.63s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 4 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 5 ( 3 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_state > #nlpp > undefined_state > state > induct_true > induct_false > hoare_165779456gleton > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(is_state,type,
is_state: $i > $o ).
tff(hoare_165779456gleton,type,
hoare_165779456gleton: $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(induct_false,type,
induct_false: $o ).
tff(undefined_state,type,
undefined_state: $i > $i ).
tff(induct_true,type,
induct_true: $o ).
tff(state,type,
state: $i ).
tff(f_45,hypothesis,
hoare_165779456gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_39,axiom,
( hoare_165779456gleton
<=> ? [S,T] :
( is_state(S)
& is_state(T)
& ( S != T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
tff(f_54,negated_conjecture,
~ ! [T] :
( is_state(T)
=> ~ ! [S] :
( is_state(S)
=> ( S = T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(c_18,plain,
hoare_165779456gleton,
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_6,plain,
( ( '#skF_2' != '#skF_1' )
| ~ hoare_165779456gleton ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_29,plain,
'#skF_2' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18,c_6]) ).
tff(c_10,plain,
( is_state('#skF_1')
| ~ hoare_165779456gleton ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_25,plain,
is_state('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_10]) ).
tff(c_31,plain,
! [S_5] :
( ( S_5 = '#skF_3' )
| ~ is_state(S_5) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_47,plain,
'#skF_3' = '#skF_1',
inference(resolution,[status(thm)],[c_25,c_31]) ).
tff(c_8,plain,
( is_state('#skF_2')
| ~ hoare_165779456gleton ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_27,plain,
is_state('#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_8]) ).
tff(c_48,plain,
'#skF_2' = '#skF_3',
inference(resolution,[status(thm)],[c_27,c_31]) ).
tff(c_56,plain,
'#skF_2' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_47,c_48]) ).
tff(c_57,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW469+1 : TPTP v9.0.0. Released v5.3.0.
% 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 : n019.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 : Wed Apr 9 05:50:47 EDT 2025
% 0.19/0.34 % CPUTime :
% 2.82/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.82/1.63
% 2.82/1.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------