%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU219+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 : n018.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 08:53:15 PM UTC 2025
% Result : Theorem 3.47s 2.08s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 15 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 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 : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 7 ( 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relation > one_to_one > function > #nlpp > relation_rng > relation_inverse > relation_dom > function_inverse > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff(relation_inverse,type,
relation_inverse: $i > $i ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(function,type,
function: $i > $o ).
tff(function_inverse,type,
function_inverse: $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff(f_88,negated_conjecture,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( ( relation_rng(A) = relation_dom(function_inverse(A)) )
& ( relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_funct_1) ).
tff(f_34,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( function_inverse(A) = relation_inverse(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_funct_1) ).
tff(f_77,axiom,
! [A] :
( relation(A)
=> ( ( relation_rng(A) = relation_dom(relation_inverse(A)) )
& ( relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
tff(c_34,plain,
( ( relation_rng(function_inverse('#skF_3')) != relation_dom('#skF_3') )
| ( relation_dom(function_inverse('#skF_3')) != relation_rng('#skF_3') ) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_42,plain,
relation_dom(function_inverse('#skF_3')) != relation_rng('#skF_3'),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_40,plain,
relation('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_38,plain,
function('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_36,plain,
one_to_one('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_93,plain,
! [A_14] :
( ( relation_inverse(A_14) = function_inverse(A_14) )
| ~ one_to_one(A_14)
| ~ function(A_14)
| ~ relation(A_14) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_108,plain,
( ( relation_inverse('#skF_3') = function_inverse('#skF_3') )
| ~ one_to_one('#skF_3')
| ~ function('#skF_3') ),
inference(resolution,[status(thm)],[c_40,c_93]) ).
tff(c_119,plain,
relation_inverse('#skF_3') = function_inverse('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_36,c_108]) ).
tff(c_32,plain,
! [A_6] :
( ( relation_dom(relation_inverse(A_6)) = relation_rng(A_6) )
| ~ relation(A_6) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_155,plain,
( ( relation_dom(function_inverse('#skF_3')) = relation_rng('#skF_3') )
| ~ relation('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_119,c_32]) ).
tff(c_170,plain,
relation_dom(function_inverse('#skF_3')) = relation_rng('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_155]) ).
tff(c_172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_170]) ).
tff(c_173,plain,
relation_rng(function_inverse('#skF_3')) != relation_dom('#skF_3'),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_229,plain,
! [A_21] :
( ( relation_inverse(A_21) = function_inverse(A_21) )
| ~ one_to_one(A_21)
| ~ function(A_21)
| ~ relation(A_21) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_244,plain,
( ( relation_inverse('#skF_3') = function_inverse('#skF_3') )
| ~ one_to_one('#skF_3')
| ~ function('#skF_3') ),
inference(resolution,[status(thm)],[c_40,c_229]) ).
tff(c_255,plain,
relation_inverse('#skF_3') = function_inverse('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_36,c_244]) ).
tff(c_30,plain,
! [A_6] :
( ( relation_rng(relation_inverse(A_6)) = relation_dom(A_6) )
| ~ relation(A_6) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_265,plain,
( ( relation_rng(function_inverse('#skF_3')) = relation_dom('#skF_3') )
| ~ relation('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_255,c_30]) ).
tff(c_279,plain,
relation_rng(function_inverse('#skF_3')) = relation_dom('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_265]) ).
tff(c_281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173,c_279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU219+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.09 % 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
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 8 22:22:17 EDT 2025
% 0.09/0.29 % CPUTime :
% 3.47/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.52/2.09
% 3.52/2.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------