TSTP Solution File: SEU388+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU388+1 : TPTP v8.1.2. 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 : n024.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 : Tue Aug 22 10:58:36 EDT 2023
% Result : Theorem 24.38s 10.59s
% Output : CNFRefutation 24.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 110
% Syntax : Number of formulae : 164 ( 31 unt; 107 typ; 0 def)
% Number of atoms : 139 ( 18 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 145 ( 63 ~; 67 |; 8 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 86 >; 29 *; 0 +; 0 <<)
% Number of predicates : 51 ( 49 usr; 1 prp; 0-3 aty)
% Number of functors : 58 ( 58 usr; 21 con; 0-3 aty)
% Number of variables : 27 (; 26 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relation_of2_as_subset > relation_of2 > point_neighbourhood > upper_relstr_subset > subset > open_subset > nowhere_dense > lower_relstr_subset > in > filtered_subset > element > directed_subset > dense > closed_subset > boundary_set > with_suprema_relstr > with_infima_relstr > v5_membered > v4_membered > v3_membered > v2_membered > v1_yellow_3 > v1_membered > upper_bounded_relstr > up_complete_relstr > trivial_carrier > transitive_relstr > topological_space > top_str > strict_rel_str > relation_empty_yielding > relation > rel_str > reflexive_relstr > one_sorted_str > lower_bounded_relstr > join_complete_relstr > heyting_relstr > finite > empty_carrier > empty > distributive_relstr > directed_relstr > connected_relstr > complete_relstr > complemented_relstr > bounded_relstr > boolean_relstr > antisymmetric_relstr > rel_str_of > neighborhood_system > cartesian_product2 > a_2_0_yellow19 > #nlpp > the_carrier > the_InternalRel > powerset > cast_as_carrier_subset > boole_POSet > empty_set > #skF_9 > #skF_36 > #skF_25 > #skF_16 > #skF_20 > #skF_18 > #skF_24 > #skF_11 > #skF_44 > #skF_15 > #skF_31 > #skF_37 > #skF_40 > #skF_19 > #skF_48 > #skF_47 > #skF_34 > #skF_32 > #skF_14 > #skF_45 > #skF_28 > #skF_46 > #skF_10 > #skF_41 > #skF_13 > #skF_2 > #skF_38 > #skF_3 > #skF_1 > #skF_21 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_30 > #skF_17 > #skF_22 > #skF_29 > #skF_35 > #skF_27 > #skF_8 > #skF_43 > #skF_7 > #skF_42 > #skF_5 > #skF_6 > #skF_12 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_36',type,
'#skF_36': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(empty_carrier,type,
empty_carrier: $i > $o ).
tff(directed_relstr,type,
directed_relstr: $i > $o ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(the_InternalRel,type,
the_InternalRel: $i > $i ).
tff(complete_relstr,type,
complete_relstr: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff(boundary_set,type,
boundary_set: ( $i * $i ) > $o ).
tff(with_suprema_relstr,type,
with_suprema_relstr: $i > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(upper_relstr_subset,type,
upper_relstr_subset: ( $i * $i ) > $o ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(neighborhood_system,type,
neighborhood_system: ( $i * $i ) > $i ).
tff(filtered_subset,type,
filtered_subset: ( $i * $i ) > $o ).
tff(directed_subset,type,
directed_subset: ( $i * $i ) > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(heyting_relstr,type,
heyting_relstr: $i > $o ).
tff(nowhere_dense,type,
nowhere_dense: ( $i * $i ) > $o ).
tff(lower_relstr_subset,type,
lower_relstr_subset: ( $i * $i ) > $o ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_48',type,
'#skF_48': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff(antisymmetric_relstr,type,
antisymmetric_relstr: $i > $o ).
tff(open_subset,type,
open_subset: ( $i * $i ) > $o ).
tff('#skF_47',type,
'#skF_47': $i ).
tff(up_complete_relstr,type,
up_complete_relstr: $i > $o ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff(strict_rel_str,type,
strict_rel_str: $i > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(boole_POSet,type,
boole_POSet: $i > $i ).
tff('#skF_45',type,
'#skF_45': $i ).
tff(reflexive_relstr,type,
reflexive_relstr: $i > $o ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_46',type,
'#skF_46': $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_41',type,
'#skF_41': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(v1_yellow_3,type,
v1_yellow_3: $i > $o ).
tff(dense,type,
dense: ( $i * $i ) > $o ).
tff(lower_bounded_relstr,type,
lower_bounded_relstr: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff(transitive_relstr,type,
transitive_relstr: $i > $o ).
tff(rel_str_of,type,
rel_str_of: ( $i * $i ) > $i ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff(bounded_relstr,type,
bounded_relstr: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(cast_as_carrier_subset,type,
cast_as_carrier_subset: $i > $i ).
tff(connected_relstr,type,
connected_relstr: $i > $o ).
tff(empty,type,
empty: $i > $o ).
tff(closed_subset,type,
closed_subset: ( $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(distributive_relstr,type,
distributive_relstr: $i > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(relation_of2,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(v2_membered,type,
v2_membered: $i > $o ).
tff(v1_membered,type,
v1_membered: $i > $o ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff(with_infima_relstr,type,
with_infima_relstr: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(boolean_relstr,type,
boolean_relstr: $i > $o ).
tff(point_neighbourhood,type,
point_neighbourhood: ( $i * $i * $i ) > $o ).
tff(rel_str,type,
rel_str: $i > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_35',type,
'#skF_35': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(v4_membered,type,
v4_membered: $i > $o ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(complemented_relstr,type,
complemented_relstr: $i > $o ).
tff(join_complete_relstr,type,
join_complete_relstr: $i > $o ).
tff('#skF_42',type,
'#skF_42': $i > $i ).
tff(trivial_carrier,type,
trivial_carrier: $i > $o ).
tff(relation_of2_as_subset,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(a_2_0_yellow19,type,
a_2_0_yellow19: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(topological_space,type,
topological_space: $i > $o ).
tff(upper_bounded_relstr,type,
upper_bounded_relstr: $i > $o ).
tff(top_str,type,
top_str: $i > $o ).
tff(f_1283,negated_conjecture,
~ ! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( in(C,neighborhood_system(A,B))
<=> point_neighbourhood(C,A,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_yellow19) ).
tff(f_383,axiom,
! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ( neighborhood_system(A,B) = a_2_0_yellow19(A,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow19) ).
tff(f_752,axiom,
! [A,B,C] :
( ( ~ empty_carrier(B)
& topological_space(B)
& top_str(B)
& element(C,the_carrier(B)) )
=> ( in(A,a_2_0_yellow19(B,C))
<=> ? [D] :
( point_neighbourhood(D,B,C)
& ( A = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
tff(c_760,plain,
~ empty_carrier('#skF_45'),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_758,plain,
topological_space('#skF_45'),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_756,plain,
top_str('#skF_45'),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_754,plain,
element('#skF_46',the_carrier('#skF_45')),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_764,plain,
( point_neighbourhood('#skF_47','#skF_45','#skF_46')
| ~ point_neighbourhood('#skF_48','#skF_45','#skF_46') ),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_824,plain,
~ point_neighbourhood('#skF_48','#skF_45','#skF_46'),
inference(splitLeft,[status(thm)],[c_764]) ).
tff(c_762,plain,
( ~ in('#skF_47',neighborhood_system('#skF_45','#skF_46'))
| ~ point_neighbourhood('#skF_48','#skF_45','#skF_46') ),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_826,plain,
~ point_neighbourhood('#skF_48','#skF_45','#skF_46'),
inference(splitLeft,[status(thm)],[c_762]) ).
tff(c_7665,plain,
! [A_1098,B_1099] :
( ( neighborhood_system(A_1098,B_1099) = a_2_0_yellow19(A_1098,B_1099) )
| ~ element(B_1099,the_carrier(A_1098))
| ~ top_str(A_1098)
| ~ topological_space(A_1098)
| empty_carrier(A_1098) ),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_7688,plain,
( ( neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46') )
| ~ top_str('#skF_45')
| ~ topological_space('#skF_45')
| empty_carrier('#skF_45') ),
inference(resolution,[status(thm)],[c_754,c_7665]) ).
tff(c_7696,plain,
( ( neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46') )
| empty_carrier('#skF_45') ),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_756,c_7688]) ).
tff(c_7697,plain,
neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46'),
inference(negUnitSimplification,[status(thm)],[c_760,c_7696]) ).
tff(c_768,plain,
( point_neighbourhood('#skF_47','#skF_45','#skF_46')
| in('#skF_48',neighborhood_system('#skF_45','#skF_46')) ),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_825,plain,
in('#skF_48',neighborhood_system('#skF_45','#skF_46')),
inference(splitLeft,[status(thm)],[c_768]) ).
tff(c_7711,plain,
in('#skF_48',a_2_0_yellow19('#skF_45','#skF_46')),
inference(demodulation,[status(thm),theory(equality)],[c_7697,c_825]) ).
tff(c_11129,plain,
! [A_1237,B_1238,C_1239] :
( ( '#skF_8'(A_1237,B_1238,C_1239) = A_1237 )
| ~ in(A_1237,a_2_0_yellow19(B_1238,C_1239))
| ~ element(C_1239,the_carrier(B_1238))
| ~ top_str(B_1238)
| ~ topological_space(B_1238)
| empty_carrier(B_1238) ),
inference(cnfTransformation,[status(thm)],[f_752]) ).
tff(c_11135,plain,
( ( '#skF_8'('#skF_48','#skF_45','#skF_46') = '#skF_48' )
| ~ element('#skF_46',the_carrier('#skF_45'))
| ~ top_str('#skF_45')
| ~ topological_space('#skF_45')
| empty_carrier('#skF_45') ),
inference(resolution,[status(thm)],[c_7711,c_11129]) ).
tff(c_11167,plain,
( ( '#skF_8'('#skF_48','#skF_45','#skF_46') = '#skF_48' )
| empty_carrier('#skF_45') ),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_756,c_754,c_11135]) ).
tff(c_11168,plain,
'#skF_8'('#skF_48','#skF_45','#skF_46') = '#skF_48',
inference(negUnitSimplification,[status(thm)],[c_760,c_11167]) ).
tff(c_11185,plain,
! [A_1240,B_1241,C_1242] :
( point_neighbourhood('#skF_8'(A_1240,B_1241,C_1242),B_1241,C_1242)
| ~ in(A_1240,a_2_0_yellow19(B_1241,C_1242))
| ~ element(C_1242,the_carrier(B_1241))
| ~ top_str(B_1241)
| ~ topological_space(B_1241)
| empty_carrier(B_1241) ),
inference(cnfTransformation,[status(thm)],[f_752]) ).
tff(c_11190,plain,
( point_neighbourhood('#skF_48','#skF_45','#skF_46')
| ~ in('#skF_48',a_2_0_yellow19('#skF_45','#skF_46'))
| ~ element('#skF_46',the_carrier('#skF_45'))
| ~ top_str('#skF_45')
| ~ topological_space('#skF_45')
| empty_carrier('#skF_45') ),
inference(superposition,[status(thm),theory(equality)],[c_11168,c_11185]) ).
tff(c_11193,plain,
( point_neighbourhood('#skF_48','#skF_45','#skF_46')
| empty_carrier('#skF_45') ),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_756,c_754,c_7711,c_11190]) ).
tff(c_11195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_760,c_826,c_11193]) ).
tff(c_11197,plain,
point_neighbourhood('#skF_48','#skF_45','#skF_46'),
inference(splitRight,[status(thm)],[c_762]) ).
tff(c_11199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_824,c_11197]) ).
tff(c_11201,plain,
~ in('#skF_48',neighborhood_system('#skF_45','#skF_46')),
inference(splitRight,[status(thm)],[c_768]) ).
tff(c_11200,plain,
point_neighbourhood('#skF_47','#skF_45','#skF_46'),
inference(splitRight,[status(thm)],[c_768]) ).
tff(c_19553,plain,
! [D_2070,B_2071,C_2072] :
( in(D_2070,a_2_0_yellow19(B_2071,C_2072))
| ~ point_neighbourhood(D_2070,B_2071,C_2072)
| ~ element(C_2072,the_carrier(B_2071))
| ~ top_str(B_2071)
| ~ topological_space(B_2071)
| empty_carrier(B_2071) ),
inference(cnfTransformation,[status(thm)],[f_752]) ).
tff(c_16667,plain,
! [A_1957,B_1958] :
( ( neighborhood_system(A_1957,B_1958) = a_2_0_yellow19(A_1957,B_1958) )
| ~ element(B_1958,the_carrier(A_1957))
| ~ top_str(A_1957)
| ~ topological_space(A_1957)
| empty_carrier(A_1957) ),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_16690,plain,
( ( neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46') )
| ~ top_str('#skF_45')
| ~ topological_space('#skF_45')
| empty_carrier('#skF_45') ),
inference(resolution,[status(thm)],[c_754,c_16667]) ).
tff(c_16698,plain,
( ( neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46') )
| empty_carrier('#skF_45') ),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_756,c_16690]) ).
tff(c_16699,plain,
neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46'),
inference(negUnitSimplification,[status(thm)],[c_760,c_16698]) ).
tff(c_766,plain,
( ~ in('#skF_47',neighborhood_system('#skF_45','#skF_46'))
| in('#skF_48',neighborhood_system('#skF_45','#skF_46')) ),
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_11203,plain,
~ in('#skF_47',neighborhood_system('#skF_45','#skF_46')),
inference(splitLeft,[status(thm)],[c_766]) ).
tff(c_16703,plain,
~ in('#skF_47',a_2_0_yellow19('#skF_45','#skF_46')),
inference(demodulation,[status(thm),theory(equality)],[c_16699,c_11203]) ).
tff(c_19556,plain,
( ~ point_neighbourhood('#skF_47','#skF_45','#skF_46')
| ~ element('#skF_46',the_carrier('#skF_45'))
| ~ top_str('#skF_45')
| ~ topological_space('#skF_45')
| empty_carrier('#skF_45') ),
inference(resolution,[status(thm)],[c_19553,c_16703]) ).
tff(c_19588,plain,
empty_carrier('#skF_45'),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_756,c_754,c_11200,c_19556]) ).
tff(c_19590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_760,c_19588]) ).
tff(c_19591,plain,
in('#skF_48',neighborhood_system('#skF_45','#skF_46')),
inference(splitRight,[status(thm)],[c_766]) ).
tff(c_19593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11201,c_19591]) ).
tff(c_19594,plain,
point_neighbourhood('#skF_47','#skF_45','#skF_46'),
inference(splitRight,[status(thm)],[c_764]) ).
tff(c_30158,plain,
! [D_3151,B_3152,C_3153] :
( in(D_3151,a_2_0_yellow19(B_3152,C_3153))
| ~ point_neighbourhood(D_3151,B_3152,C_3153)
| ~ element(C_3153,the_carrier(B_3152))
| ~ top_str(B_3152)
| ~ topological_space(B_3152)
| empty_carrier(B_3152) ),
inference(cnfTransformation,[status(thm)],[f_752]) ).
tff(c_26652,plain,
! [A_3003,B_3004] :
( ( neighborhood_system(A_3003,B_3004) = a_2_0_yellow19(A_3003,B_3004) )
| ~ element(B_3004,the_carrier(A_3003))
| ~ top_str(A_3003)
| ~ topological_space(A_3003)
| empty_carrier(A_3003) ),
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_26675,plain,
( ( neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46') )
| ~ top_str('#skF_45')
| ~ topological_space('#skF_45')
| empty_carrier('#skF_45') ),
inference(resolution,[status(thm)],[c_754,c_26652]) ).
tff(c_26683,plain,
( ( neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46') )
| empty_carrier('#skF_45') ),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_756,c_26675]) ).
tff(c_26684,plain,
neighborhood_system('#skF_45','#skF_46') = a_2_0_yellow19('#skF_45','#skF_46'),
inference(negUnitSimplification,[status(thm)],[c_760,c_26683]) ).
tff(c_19595,plain,
point_neighbourhood('#skF_48','#skF_45','#skF_46'),
inference(splitRight,[status(thm)],[c_764]) ).
tff(c_19597,plain,
~ point_neighbourhood('#skF_48','#skF_45','#skF_46'),
inference(splitLeft,[status(thm)],[c_762]) ).
tff(c_19600,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19595,c_19597]) ).
tff(c_19601,plain,
~ in('#skF_47',neighborhood_system('#skF_45','#skF_46')),
inference(splitRight,[status(thm)],[c_762]) ).
tff(c_26699,plain,
~ in('#skF_47',a_2_0_yellow19('#skF_45','#skF_46')),
inference(demodulation,[status(thm),theory(equality)],[c_26684,c_19601]) ).
tff(c_30161,plain,
( ~ point_neighbourhood('#skF_47','#skF_45','#skF_46')
| ~ element('#skF_46',the_carrier('#skF_45'))
| ~ top_str('#skF_45')
| ~ topological_space('#skF_45')
| empty_carrier('#skF_45') ),
inference(resolution,[status(thm)],[c_30158,c_26699]) ).
tff(c_30190,plain,
empty_carrier('#skF_45'),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_756,c_754,c_19594,c_30161]) ).
tff(c_30192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_760,c_30190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % 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
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 12:09:15 EDT 2023
% 0.14/0.36 % CPUTime :
% 24.38/10.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.38/10.60
% 24.38/10.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.38/10.63
% 24.38/10.63 Inference rules
% 24.38/10.63 ----------------------
% 24.38/10.63 #Ref : 6
% 24.38/10.63 #Sup : 6222
% 24.38/10.63 #Fact : 0
% 24.38/10.63 #Define : 0
% 24.38/10.63 #Split : 142
% 24.38/10.63 #Chain : 0
% 24.38/10.63 #Close : 0
% 24.38/10.63
% 24.38/10.63 Ordering : KBO
% 24.38/10.63
% 24.38/10.63 Simplification rules
% 24.38/10.63 ----------------------
% 24.38/10.63 #Subsume : 1857
% 24.38/10.63 #Demod : 2244
% 24.38/10.63 #Tautology : 1048
% 24.38/10.63 #SimpNegUnit : 655
% 24.38/10.63 #BackRed : 205
% 24.38/10.63
% 24.38/10.63 #Partial instantiations: 0
% 24.38/10.63 #Strategies tried : 1
% 24.38/10.63
% 24.38/10.63 Timing (in seconds)
% 24.38/10.63 ----------------------
% 24.38/10.63 Preprocessing : 0.93
% 24.38/10.63 Parsing : 0.44
% 24.38/10.63 CNF conversion : 0.10
% 24.38/10.63 Main loop : 8.62
% 24.38/10.64 Inferencing : 2.96
% 24.38/10.64 Reduction : 3.21
% 24.38/10.64 Demodulation : 2.31
% 24.38/10.64 BG Simplification : 0.14
% 24.38/10.64 Subsumption : 1.68
% 24.38/10.64 Abstraction : 0.11
% 24.38/10.64 MUC search : 0.00
% 24.38/10.64 Cooper : 0.00
% 24.38/10.64 Total : 9.61
% 24.38/10.64 Index Insertion : 0.00
% 24.38/10.64 Index Deletion : 0.00
% 24.38/10.64 Index Matching : 0.00
% 24.38/10.64 BG Taut test : 0.00
%------------------------------------------------------------------------------