%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU080+1 : 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/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 : n028.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 08:52:44 PM UTC 2025
% Result : Theorem 5.44s 2.41s
% Output : CNFRefutation 5.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 22 ~; 19 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation_empty_yielding > relation > one_to_one > function > empty > relation_inverse_image > #nlpp > relation_rng > powerset > empty_set > #skF_4 > #skF_11 > #skF_1 > #skF_8 > #skF_7 > #skF_10 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_9 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation,type,
relation: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(relation_inverse_image,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_159,negated_conjecture,
~ ! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( ( ( relation_inverse_image(C,A) = relation_inverse_image(C,B) )
& subset(A,relation_rng(C))
& subset(B,relation_rng(C)) )
=> ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t161_funct_1) ).
tff(f_136,axiom,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
tff(f_146,axiom,
! [A,B,C] :
( ( relation(C)
& function(C) )
=> ( ( subset(relation_inverse_image(C,A),relation_inverse_image(C,B))
& subset(A,relation_rng(C)) )
=> subset(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t158_funct_1) ).
tff(f_57,axiom,
! [A,B] :
( ( A = B )
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
tff(c_86,plain,
'#skF_13' != '#skF_12',
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_82,plain,
! [A_17] : subset(A_17,A_17),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_96,plain,
relation('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_94,plain,
function('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_88,plain,
subset('#skF_13',relation_rng('#skF_14')),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_92,plain,
relation_inverse_image('#skF_14','#skF_13') = relation_inverse_image('#skF_14','#skF_12'),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_500,plain,
! [A_94,B_95,C_96] :
( subset(A_94,B_95)
| ~ subset(A_94,relation_rng(C_96))
| ~ subset(relation_inverse_image(C_96,A_94),relation_inverse_image(C_96,B_95))
| ~ function(C_96)
| ~ relation(C_96) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_503,plain,
! [B_95] :
( subset('#skF_13',B_95)
| ~ subset('#skF_13',relation_rng('#skF_14'))
| ~ subset(relation_inverse_image('#skF_14','#skF_12'),relation_inverse_image('#skF_14',B_95))
| ~ function('#skF_14')
| ~ relation('#skF_14') ),
inference(superposition,[status(thm),theory(equality)],[c_92,c_500]) ).
tff(c_534,plain,
! [B_104] :
( subset('#skF_13',B_104)
| ~ subset(relation_inverse_image('#skF_14','#skF_12'),relation_inverse_image('#skF_14',B_104)) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_94,c_88,c_503]) ).
tff(c_544,plain,
subset('#skF_13','#skF_12'),
inference(resolution,[status(thm)],[c_82,c_534]) ).
tff(c_14,plain,
! [B_7,A_6] :
( ( B_7 = A_6 )
| ~ subset(B_7,A_6)
| ~ subset(A_6,B_7) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_546,plain,
( ( '#skF_13' = '#skF_12' )
| ~ subset('#skF_12','#skF_13') ),
inference(resolution,[status(thm)],[c_544,c_14]) ).
tff(c_549,plain,
~ subset('#skF_12','#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_86,c_546]) ).
tff(c_90,plain,
subset('#skF_12',relation_rng('#skF_14')),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_506,plain,
! [A_94] :
( subset(A_94,'#skF_13')
| ~ subset(A_94,relation_rng('#skF_14'))
| ~ subset(relation_inverse_image('#skF_14',A_94),relation_inverse_image('#skF_14','#skF_12'))
| ~ function('#skF_14')
| ~ relation('#skF_14') ),
inference(superposition,[status(thm),theory(equality)],[c_92,c_500]) ).
tff(c_640,plain,
! [A_118] :
( subset(A_118,'#skF_13')
| ~ subset(A_118,relation_rng('#skF_14'))
| ~ subset(relation_inverse_image('#skF_14',A_118),relation_inverse_image('#skF_14','#skF_12')) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_94,c_506]) ).
tff(c_647,plain,
( subset('#skF_12','#skF_13')
| ~ subset('#skF_12',relation_rng('#skF_14')) ),
inference(resolution,[status(thm)],[c_82,c_640]) ).
tff(c_652,plain,
subset('#skF_12','#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_90,c_647]) ).
tff(c_654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_549,c_652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU080+1 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.10 % 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
% 0.09/0.29 % Computer : n028.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 22:02:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 5.44/2.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/2.42
% 5.44/2.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------