%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU373+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/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 : n025.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 08:53:48 PM UTC 2025
% Result : Theorem 5.65s 2.22s
% Output : CNFRefutation 5.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 23 |; 3 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 14 con; 0-4 aty)
% Number of variables : 25 ( 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subnetstr > relation_of2_as_subset > relation_of2 > quasi_total > subset > subrelstr > net_str > in > element > relation_empty_yielding > relation > rel_str > one_to_one > one_sorted_str > function > empty > relation_dom_restr_as_relation_of > the_mapping > relation_dom_restriction > cartesian_product2 > #nlpp > the_carrier > the_InternalRel > powerset > empty_set > #skF_5 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_19 > #skF_10 > #skF_16 > #skF_15 > #skF_14 > #skF_13 > #skF_2 > #skF_1 > #skF_8 > #skF_21 > #skF_9 > #skF_3 > #skF_12 > #skF_7 > #skF_6 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(subrelstr,type,
subrelstr: ( $i * $i ) > $o ).
tff(relation,type,
relation: $i > $o ).
tff(the_InternalRel,type,
the_InternalRel: $i > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(quasi_total,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(relation_dom_restr_as_relation_of,type,
relation_dom_restr_as_relation_of: ( $i * $i * $i * $i ) > $i ).
tff(subnetstr,type,
subnetstr: ( $i * $i * $i ) > $o ).
tff(function,type,
function: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(net_str,type,
net_str: ( $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(relation_dom_restriction,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_of2,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(the_mapping,type,
the_mapping: ( $i * $i ) > $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(relation_of2_as_subset,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_276,negated_conjecture,
~ ! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( subnetstr(C,A,B)
=> subset(the_carrier(C),the_carrier(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_yellow_6) ).
tff(f_100,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
tff(f_116,axiom,
! [A,B] :
( ( one_sorted_str(A)
& net_str(B,A) )
=> ! [C] :
( subnetstr(C,A,B)
=> net_str(C,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
tff(f_66,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_carrier(B),the_carrier(A))
& subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).
tff(f_80,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( subrelstr(C,B)
& ( the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_6) ).
tff(c_164,plain,
one_sorted_str('#skF_19'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_162,plain,
net_str('#skF_20','#skF_19'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_265,plain,
! [B_127,A_128] :
( rel_str(B_127)
| ~ net_str(B_127,A_128)
| ~ one_sorted_str(A_128) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_271,plain,
( rel_str('#skF_20')
| ~ one_sorted_str('#skF_19') ),
inference(resolution,[status(thm)],[c_162,c_265]) ).
tff(c_275,plain,
rel_str('#skF_20'),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_271]) ).
tff(c_160,plain,
subnetstr('#skF_21','#skF_19','#skF_20'),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_628,plain,
! [C_225,A_226,B_227] :
( net_str(C_225,A_226)
| ~ subnetstr(C_225,A_226,B_227)
| ~ net_str(B_227,A_226)
| ~ one_sorted_str(A_226) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_634,plain,
( net_str('#skF_21','#skF_19')
| ~ net_str('#skF_20','#skF_19')
| ~ one_sorted_str('#skF_19') ),
inference(resolution,[status(thm)],[c_160,c_628]) ).
tff(c_638,plain,
net_str('#skF_21','#skF_19'),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_162,c_634]) ).
tff(c_42,plain,
! [B_28,A_26] :
( rel_str(B_28)
| ~ net_str(B_28,A_26)
| ~ one_sorted_str(A_26) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_641,plain,
( rel_str('#skF_21')
| ~ one_sorted_str('#skF_19') ),
inference(resolution,[status(thm)],[c_638,c_42]) ).
tff(c_644,plain,
rel_str('#skF_21'),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_641]) ).
tff(c_710,plain,
! [B_248,A_249] :
( subset(the_carrier(B_248),the_carrier(A_249))
| ~ subrelstr(B_248,A_249)
| ~ rel_str(B_248)
| ~ rel_str(A_249) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_158,plain,
~ subset(the_carrier('#skF_21'),the_carrier('#skF_20')),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_715,plain,
( ~ subrelstr('#skF_21','#skF_20')
| ~ rel_str('#skF_21')
| ~ rel_str('#skF_20') ),
inference(resolution,[status(thm)],[c_710,c_158]) ).
tff(c_719,plain,
~ subrelstr('#skF_21','#skF_20'),
inference(demodulation,[status(thm),theory(equality)],[c_275,c_644,c_715]) ).
tff(c_916,plain,
! [C_280,B_281,A_282] :
( subrelstr(C_280,B_281)
| ~ subnetstr(C_280,A_282,B_281)
| ~ net_str(C_280,A_282)
| ~ net_str(B_281,A_282)
| ~ one_sorted_str(A_282) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_922,plain,
( subrelstr('#skF_21','#skF_20')
| ~ net_str('#skF_21','#skF_19')
| ~ net_str('#skF_20','#skF_19')
| ~ one_sorted_str('#skF_19') ),
inference(resolution,[status(thm)],[c_160,c_916]) ).
tff(c_926,plain,
subrelstr('#skF_21','#skF_20'),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_162,c_638,c_922]) ).
tff(c_928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_719,c_926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU373+1 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % 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
% 0.12/0.34 % Computer : n025.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 : Tue Apr 8 23:00:20 EDT 2025
% 0.12/0.34 % CPUTime :
% 5.65/2.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.65/2.22
% 5.65/2.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------