%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU150+3 : TPTP v9.0.0. Released v3.2.0.
% 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 : 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 08:52:57 PM UTC 2025
% Result : Theorem 2.76s 1.67s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ empty > unordered_pair > #nlpp > singleton > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_41,negated_conjecture,
~ ! [A,B,C] :
( ( singleton(A) = unordered_pair(B,C) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).
tff(f_36,axiom,
! [A,B,C] :
( ( singleton(A) = unordered_pair(B,C) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
tff(f_27,axiom,
! [A,B] : ( unordered_pair(A,B) = unordered_pair(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
tff(c_10,plain,
'#skF_5' != '#skF_4',
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_12,plain,
unordered_pair('#skF_4','#skF_5') = singleton('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_50,plain,
! [B_8,A_9,C_10] :
( ( B_8 = A_9 )
| ( unordered_pair(B_8,C_10) != singleton(A_9) ) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_59,plain,
! [A_9] :
( ( A_9 = '#skF_4' )
| ( singleton(A_9) != singleton('#skF_3') ) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_50]) ).
tff(c_62,plain,
'#skF_3' = '#skF_4',
inference(reflexivity,[status(thm),theory(equality)],[c_59]) ).
tff(c_65,plain,
unordered_pair('#skF_4','#skF_5') = singleton('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_12]) ).
tff(c_2,plain,
! [B_2,A_1] : ( unordered_pair(B_2,A_1) = unordered_pair(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_82,plain,
! [B_13,A_14,A_15] :
( ( B_13 = A_14 )
| ( unordered_pair(A_15,B_13) != singleton(A_14) ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_50]) ).
tff(c_85,plain,
! [A_14] :
( ( A_14 = '#skF_5' )
| ( singleton(A_14) != singleton('#skF_4') ) ),
inference(superposition,[status(thm),theory(equality)],[c_65,c_82]) ).
tff(c_94,plain,
'#skF_5' = '#skF_4',
inference(reflexivity,[status(thm),theory(equality)],[c_85]) ).
tff(c_96,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU150+3 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.13 % 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
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 22:08:14 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.76/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.76/1.67
% 2.76/1.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------