%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU303+1 : TPTP v9.0.0. Released v3.3.0.
% 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 08:53:34 PM UTC 2025
% Result : Theorem 2.79s 1.84s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 10 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relation > function > finite > relation_image > #nlpp > relation_rng > relation_dom > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff(finite,type,
finite: $i > $o ).
tff(function,type,
function: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(relation_image,type,
relation_image: ( $i * $i ) > $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff(f_60,negated_conjecture,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
tff(f_43,axiom,
! [A] :
( relation(A)
=> ( relation_image(A,relation_dom(A)) = relation_rng(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
tff(f_51,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( finite(A)
=> finite(relation_image(B,A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_finset_1) ).
tff(c_24,plain,
relation('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_22,plain,
function('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_20,plain,
finite(relation_dom('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_14,plain,
! [A_3] :
( ( relation_image(A_3,relation_dom(A_3)) = relation_rng(A_3) )
| ~ relation(A_3) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_34,plain,
! [B_7,A_8] :
( finite(relation_image(B_7,A_8))
| ~ finite(A_8)
| ~ function(B_7)
| ~ relation(B_7) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_38,plain,
! [A_9] :
( finite(relation_rng(A_9))
| ~ finite(relation_dom(A_9))
| ~ function(A_9)
| ~ relation(A_9)
| ~ relation(A_9) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_34]) ).
tff(c_18,plain,
~ finite(relation_rng('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_41,plain,
( ~ finite(relation_dom('#skF_2'))
| ~ function('#skF_2')
| ~ relation('#skF_2') ),
inference(resolution,[status(thm)],[c_38,c_18]) ).
tff(c_45,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_22,c_20,c_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU303+1 : TPTP v9.0.0. Released v3.3.0.
% 0.09/0.10 % 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
% 0.10/0.29 % Computer : n019.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Apr 8 22:43:47 EDT 2025
% 0.10/0.29 % CPUTime :
% 2.79/1.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.79/1.85
% 2.79/1.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------