TSTP Solution File: SEU401+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU401+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 : n013.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 10:58:38 EDT 2023
% Result : Theorem 20.02s 7.55s
% Output : CNFRefutation 20.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 74
% Syntax : Number of formulae : 174 ( 40 unt; 72 typ; 0 def)
% Number of atoms : 277 ( 78 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 329 ( 154 ~; 152 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 95 ( 62 >; 33 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 10 con; 0-4 aty)
% Number of variables : 60 (; 56 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subnet > relation_of2_as_subset > relation_of2 > quasi_total > netstr_induced_subset > strict_net_str > open_subset > nowhere_dense > net_str > in > element > closed_subset > boundary_set > v5_membered > v4_membered > v3_membered > v2_membered > v1_membered > transitive_relstr > topological_space > top_str > relation > rel_str > one_sorted_str > function > finite > empty_carrier > empty > directed_relstr > net_str_of > subnetstr_of_element > relation_rng_as_subset > netstr_restr_to_element > topstr_closure > the_mapping > cartesian_product2 > #nlpp > the_carrier > the_InternalRel > relation_rng > powerset > #skF_9 > #skF_25 > #skF_7 > #skF_21 > #skF_16 > #skF_18 > #skF_24 > #skF_30 > #skF_19 > #skF_22 > #skF_32 > #skF_8 > #skF_31 > #skF_29 > #skF_15 > #skF_26 > #skF_5 > #skF_10 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_23 > #skF_4 > #skF_17 > #skF_11 > #skF_14 > #skF_28 > #skF_27 > #skF_12 > #skF_20
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_7',type,
'#skF_7': $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_21',type,
'#skF_21': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(subnet,type,
subnet: ( $i * $i * $i ) > $o ).
tff(the_InternalRel,type,
the_InternalRel: $i > $i ).
tff(topstr_closure,type,
topstr_closure: ( $i * $i ) > $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('#skF_30',type,
'#skF_30': ( $i * $i ) > $i ).
tff(quasi_total,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(subnetstr_of_element,type,
subnetstr_of_element: ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff(nowhere_dense,type,
nowhere_dense: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_31',type,
'#skF_31': ( $i * $i ) > $i ).
tff(open_subset,type,
open_subset: ( $i * $i ) > $o ).
tff(net_str,type,
net_str: ( $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(transitive_relstr,type,
transitive_relstr: $i > $o ).
tff(v3_membered,type,
v3_membered: $i > $o ).
tff(net_str_of,type,
net_str_of: ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(empty,type,
empty: $i > $o ).
tff(closed_subset,type,
closed_subset: ( $i * $i ) > $o ).
tff(strict_net_str,type,
strict_net_str: ( $i * $i ) > $o ).
tff(v5_membered,type,
v5_membered: $i > $o ).
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(netstr_restr_to_element,type,
netstr_restr_to_element: ( $i * $i * $i ) > $i ).
tff(relation_rng_as_subset,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(the_mapping,type,
the_mapping: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(netstr_induced_subset,type,
netstr_induced_subset: ( $i * $i * $i ) > $o ).
tff(v4_membered,type,
v4_membered: $i > $o ).
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_20',type,
'#skF_20': $i > $i ).
tff(topological_space,type,
topological_space: $i > $o ).
tff(top_str,type,
top_str: $i > $o ).
tff(f_80,negated_conjecture,
~ ! [A,B,C] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A)
& ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) )
=> ! [D,E,F] :
( ( ! [G] :
( in(G,E)
<=> ( in(G,the_carrier(B))
& ? [H] :
( netstr_induced_subset(H,A,B)
& ? [I] :
( element(I,the_carrier(B))
& ( D = topstr_closure(A,H) )
& ( G = I )
& ( H = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I))) ) ) ) ) )
& ! [G] :
( in(G,F)
<=> ( in(G,the_carrier(B))
& ? [J] :
( netstr_induced_subset(J,A,B)
& ? [K] :
( element(K,the_carrier(B))
& ( D = topstr_closure(A,J) )
& ( G = K )
& ( J = relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K))) ) ) ) ) ) )
=> ( E = F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_xboole_0__e6_39_3__yellow19__1) ).
tff(f_744,axiom,
! [A,B] :
( ! [C] :
( in(C,A)
<=> in(C,B) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
tff(c_2,plain,
'#skF_5' != '#skF_6',
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_342,plain,
! [A_244,B_245] :
( in('#skF_31'(A_244,B_245),B_245)
| in('#skF_32'(A_244,B_245),A_244)
| ( B_245 = A_244 ) ),
inference(cnfTransformation,[status(thm)],[f_744]) ).
tff(c_825,plain,
! [A_418,B_419] :
( in('#skF_31'(A_418,B_419),B_419)
| in('#skF_32'(A_418,B_419),A_418)
| ( B_419 = A_418 ) ),
inference(cnfTransformation,[status(thm)],[f_744]) ).
tff(c_36,plain,
! [G_82] :
( ( '#skF_8'(G_82) = G_82 )
| ~ in(G_82,'#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_886,plain,
! [B_429] :
( ( '#skF_8'('#skF_32'('#skF_5',B_429)) = '#skF_32'('#skF_5',B_429) )
| in('#skF_31'('#skF_5',B_429),B_429)
| ( B_429 = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_825,c_36]) ).
tff(c_24,plain,
! [G_93] :
( ( '#skF_10'(G_93) = G_93 )
| ~ in(G_93,'#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_899,plain,
( ( '#skF_10'('#skF_31'('#skF_5','#skF_6')) = '#skF_31'('#skF_5','#skF_6') )
| ( '#skF_8'('#skF_32'('#skF_5','#skF_6')) = '#skF_32'('#skF_5','#skF_6') )
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_886,c_24]) ).
tff(c_906,plain,
( ( '#skF_10'('#skF_31'('#skF_5','#skF_6')) = '#skF_31'('#skF_5','#skF_6') )
| ( '#skF_8'('#skF_32'('#skF_5','#skF_6')) = '#skF_32'('#skF_5','#skF_6') ) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_899]) ).
tff(c_5074,plain,
'#skF_8'('#skF_32'('#skF_5','#skF_6')) = '#skF_32'('#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_906]) ).
tff(c_40,plain,
! [G_82] :
( element('#skF_8'(G_82),the_carrier('#skF_2'))
| ~ in(G_82,'#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_5090,plain,
( element('#skF_32'('#skF_5','#skF_6'),the_carrier('#skF_2'))
| ~ in('#skF_32'('#skF_5','#skF_6'),'#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_5074,c_40]) ).
tff(c_5098,plain,
~ in('#skF_32'('#skF_5','#skF_6'),'#skF_5'),
inference(splitLeft,[status(thm)],[c_5090]) ).
tff(c_5101,plain,
( in('#skF_31'('#skF_5','#skF_6'),'#skF_6')
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_342,c_5098]) ).
tff(c_5107,plain,
in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_2,c_5101]) ).
tff(c_26,plain,
! [G_93] :
( ( topstr_closure('#skF_1','#skF_9'(G_93)) = '#skF_4' )
| ~ in(G_93,'#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_30,plain,
! [G_93] :
( netstr_induced_subset('#skF_9'(G_93),'#skF_1','#skF_2')
| ~ in(G_93,'#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_340,plain,
! [A_244,B_245] :
( ~ in('#skF_31'(A_244,B_245),A_244)
| in('#skF_32'(A_244,B_245),A_244)
| ( B_245 = A_244 ) ),
inference(cnfTransformation,[status(thm)],[f_744]) ).
tff(c_5104,plain,
( ~ in('#skF_31'('#skF_5','#skF_6'),'#skF_5')
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_340,c_5098]) ).
tff(c_5110,plain,
~ in('#skF_31'('#skF_5','#skF_6'),'#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_2,c_5104]) ).
tff(c_5117,plain,
'#skF_10'('#skF_31'('#skF_5','#skF_6')) = '#skF_31'('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_5107,c_24]) ).
tff(c_28,plain,
! [G_93] :
( element('#skF_10'(G_93),the_carrier('#skF_2'))
| ~ in(G_93,'#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_5134,plain,
( element('#skF_31'('#skF_5','#skF_6'),the_carrier('#skF_2'))
| ~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_5117,c_28]) ).
tff(c_5146,plain,
element('#skF_31'('#skF_5','#skF_6'),the_carrier('#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_5107,c_5134]) ).
tff(c_32,plain,
! [G_93] :
( in(G_93,the_carrier('#skF_2'))
| ~ in(G_93,'#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_22,plain,
! [G_93] :
( ( relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_93))),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_93)))) = '#skF_9'(G_93) )
| ~ in(G_93,'#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_621,plain,
! [I_366] :
( in(I_366,'#skF_5')
| ( topstr_closure('#skF_1',relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2',I_366)),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2',I_366)))) != '#skF_4' )
| ~ element(I_366,the_carrier('#skF_2'))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2',I_366)),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2',I_366))),'#skF_1','#skF_2')
| ~ in(I_366,the_carrier('#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_9739,plain,
! [G_1318] :
( in('#skF_10'(G_1318),'#skF_5')
| ( topstr_closure('#skF_1',relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_1318))),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_1318))))) != '#skF_4' )
| ~ element('#skF_10'(G_1318),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_1318),'#skF_1','#skF_2')
| ~ in('#skF_10'(G_1318),the_carrier('#skF_2'))
| ~ in(G_1318,'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_621]) ).
tff(c_9798,plain,
! [G_1330] :
( in('#skF_10'(G_1330),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_1330)) != '#skF_4' )
| ~ element('#skF_10'(G_1330),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_1330),'#skF_1','#skF_2')
| ~ in('#skF_10'(G_1330),the_carrier('#skF_2'))
| ~ in(G_1330,'#skF_6')
| ~ in(G_1330,'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_9739]) ).
tff(c_9851,plain,
! [G_1342] :
( in('#skF_10'(G_1342),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_1342)) != '#skF_4' )
| ~ element('#skF_10'(G_1342),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_1342),'#skF_1','#skF_2')
| ~ in(G_1342,'#skF_6')
| ~ in('#skF_10'(G_1342),'#skF_6') ),
inference(resolution,[status(thm)],[c_32,c_9798]) ).
tff(c_9854,plain,
( in('#skF_10'('#skF_31'('#skF_5','#skF_6')),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' )
| ~ element('#skF_31'('#skF_5','#skF_6'),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'('#skF_31'('#skF_5','#skF_6')),'#skF_1','#skF_2')
| ~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6')
| ~ in('#skF_10'('#skF_31'('#skF_5','#skF_6')),'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_5117,c_9851]) ).
tff(c_9862,plain,
( in('#skF_31'('#skF_5','#skF_6'),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' )
| ~ netstr_induced_subset('#skF_9'('#skF_31'('#skF_5','#skF_6')),'#skF_1','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_5107,c_5117,c_5107,c_5146,c_5117,c_9854]) ).
tff(c_9863,plain,
( ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' )
| ~ netstr_induced_subset('#skF_9'('#skF_31'('#skF_5','#skF_6')),'#skF_1','#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_5110,c_9862]) ).
tff(c_9867,plain,
~ netstr_induced_subset('#skF_9'('#skF_31'('#skF_5','#skF_6')),'#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_9863]) ).
tff(c_9870,plain,
~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(resolution,[status(thm)],[c_30,c_9867]) ).
tff(c_9874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5107,c_9870]) ).
tff(c_9875,plain,
topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4',
inference(splitRight,[status(thm)],[c_9863]) ).
tff(c_9879,plain,
~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(superposition,[status(thm),theory(equality)],[c_26,c_9875]) ).
tff(c_9883,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5107,c_9879]) ).
tff(c_9885,plain,
in('#skF_32'('#skF_5','#skF_6'),'#skF_5'),
inference(splitRight,[status(thm)],[c_5090]) ).
tff(c_38,plain,
! [G_82] :
( ( topstr_closure('#skF_1','#skF_7'(G_82)) = '#skF_4' )
| ~ in(G_82,'#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_42,plain,
! [G_82] :
( netstr_induced_subset('#skF_7'(G_82),'#skF_1','#skF_2')
| ~ in(G_82,'#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_44,plain,
! [G_82] :
( in(G_82,the_carrier('#skF_2'))
| ~ in(G_82,'#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_34,plain,
! [G_82] :
( ( relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2','#skF_8'(G_82))),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2','#skF_8'(G_82)))) = '#skF_7'(G_82) )
| ~ in(G_82,'#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_680,plain,
! [K_380] :
( in(K_380,'#skF_6')
| ( topstr_closure('#skF_1',relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2',K_380)),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2',K_380)))) != '#skF_4' )
| ~ element(K_380,the_carrier('#skF_2'))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2',K_380)),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2',K_380))),'#skF_1','#skF_2')
| ~ in(K_380,the_carrier('#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_11605,plain,
! [G_1545] :
( in('#skF_8'(G_1545),'#skF_6')
| ( topstr_closure('#skF_1',relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2','#skF_8'(G_1545))),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2','#skF_8'(G_1545))))) != '#skF_4' )
| ~ element('#skF_8'(G_1545),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_7'(G_1545),'#skF_1','#skF_2')
| ~ in('#skF_8'(G_1545),the_carrier('#skF_2'))
| ~ in(G_1545,'#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_680]) ).
tff(c_11648,plain,
! [G_1556] :
( in('#skF_8'(G_1556),'#skF_6')
| ( topstr_closure('#skF_1','#skF_7'(G_1556)) != '#skF_4' )
| ~ element('#skF_8'(G_1556),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_7'(G_1556),'#skF_1','#skF_2')
| ~ in('#skF_8'(G_1556),the_carrier('#skF_2'))
| ~ in(G_1556,'#skF_5')
| ~ in(G_1556,'#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_34,c_11605]) ).
tff(c_11695,plain,
! [G_1567] :
( in('#skF_8'(G_1567),'#skF_6')
| ( topstr_closure('#skF_1','#skF_7'(G_1567)) != '#skF_4' )
| ~ element('#skF_8'(G_1567),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_7'(G_1567),'#skF_1','#skF_2')
| ~ in(G_1567,'#skF_5')
| ~ in('#skF_8'(G_1567),'#skF_5') ),
inference(resolution,[status(thm)],[c_44,c_11648]) ).
tff(c_12281,plain,
! [G_1601] :
( in('#skF_8'(G_1601),'#skF_6')
| ( topstr_closure('#skF_1','#skF_7'(G_1601)) != '#skF_4' )
| ~ netstr_induced_subset('#skF_7'(G_1601),'#skF_1','#skF_2')
| ~ in('#skF_8'(G_1601),'#skF_5')
| ~ in(G_1601,'#skF_5') ),
inference(resolution,[status(thm)],[c_40,c_11695]) ).
tff(c_12367,plain,
! [G_1611] :
( in('#skF_8'(G_1611),'#skF_6')
| ( topstr_closure('#skF_1','#skF_7'(G_1611)) != '#skF_4' )
| ~ in('#skF_8'(G_1611),'#skF_5')
| ~ in(G_1611,'#skF_5') ),
inference(resolution,[status(thm)],[c_42,c_12281]) ).
tff(c_12370,plain,
( in('#skF_8'('#skF_32'('#skF_5','#skF_6')),'#skF_6')
| ( topstr_closure('#skF_1','#skF_7'('#skF_32'('#skF_5','#skF_6'))) != '#skF_4' )
| ~ in('#skF_32'('#skF_5','#skF_6'),'#skF_5')
| ~ in('#skF_32'('#skF_5','#skF_6'),'#skF_5') ),
inference(superposition,[status(thm),theory(equality)],[c_5074,c_12367]) ).
tff(c_12372,plain,
( in('#skF_32'('#skF_5','#skF_6'),'#skF_6')
| ( topstr_closure('#skF_1','#skF_7'('#skF_32'('#skF_5','#skF_6'))) != '#skF_4' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9885,c_9885,c_5074,c_12370]) ).
tff(c_12378,plain,
topstr_closure('#skF_1','#skF_7'('#skF_32'('#skF_5','#skF_6'))) != '#skF_4',
inference(splitLeft,[status(thm)],[c_12372]) ).
tff(c_12381,plain,
~ in('#skF_32'('#skF_5','#skF_6'),'#skF_5'),
inference(superposition,[status(thm),theory(equality)],[c_38,c_12378]) ).
tff(c_12385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9885,c_12381]) ).
tff(c_12386,plain,
in('#skF_32'('#skF_5','#skF_6'),'#skF_6'),
inference(splitRight,[status(thm)],[c_12372]) ).
tff(c_338,plain,
! [A_244,B_245] :
( in('#skF_31'(A_244,B_245),B_245)
| ~ in('#skF_32'(A_244,B_245),B_245)
| ( B_245 = A_244 ) ),
inference(cnfTransformation,[status(thm)],[f_744]) ).
tff(c_12390,plain,
( in('#skF_31'('#skF_5','#skF_6'),'#skF_6')
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_12386,c_338]) ).
tff(c_12398,plain,
in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_2,c_12390]) ).
tff(c_12407,plain,
'#skF_10'('#skF_31'('#skF_5','#skF_6')) = '#skF_31'('#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_12398,c_24]) ).
tff(c_12746,plain,
! [G_1624] :
( in('#skF_10'(G_1624),'#skF_5')
| ( topstr_closure('#skF_1',relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_1624))),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_1624))))) != '#skF_4' )
| ~ element('#skF_10'(G_1624),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_1624),'#skF_1','#skF_2')
| ~ in('#skF_10'(G_1624),the_carrier('#skF_2'))
| ~ in(G_1624,'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_621]) ).
tff(c_12793,plain,
! [G_1635] :
( in('#skF_10'(G_1635),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_1635)) != '#skF_4' )
| ~ element('#skF_10'(G_1635),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_1635),'#skF_1','#skF_2')
| ~ in('#skF_10'(G_1635),the_carrier('#skF_2'))
| ~ in(G_1635,'#skF_6')
| ~ in(G_1635,'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_12746]) ).
tff(c_12854,plain,
! [G_1647] :
( in('#skF_10'(G_1647),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_1647)) != '#skF_4' )
| ~ element('#skF_10'(G_1647),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_1647),'#skF_1','#skF_2')
| ~ in(G_1647,'#skF_6')
| ~ in('#skF_10'(G_1647),'#skF_6') ),
inference(resolution,[status(thm)],[c_32,c_12793]) ).
tff(c_12907,plain,
! [G_1659] :
( in('#skF_10'(G_1659),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_1659)) != '#skF_4' )
| ~ netstr_induced_subset('#skF_9'(G_1659),'#skF_1','#skF_2')
| ~ in('#skF_10'(G_1659),'#skF_6')
| ~ in(G_1659,'#skF_6') ),
inference(resolution,[status(thm)],[c_28,c_12854]) ).
tff(c_12949,plain,
! [G_1671] :
( in('#skF_10'(G_1671),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_1671)) != '#skF_4' )
| ~ in('#skF_10'(G_1671),'#skF_6')
| ~ in(G_1671,'#skF_6') ),
inference(resolution,[status(thm)],[c_30,c_12907]) ).
tff(c_12957,plain,
( in('#skF_31'('#skF_5','#skF_6'),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' )
| ~ in('#skF_10'('#skF_31'('#skF_5','#skF_6')),'#skF_6')
| ~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_12407,c_12949]) ).
tff(c_12967,plain,
( in('#skF_31'('#skF_5','#skF_6'),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12398,c_12398,c_12407,c_12957]) ).
tff(c_13112,plain,
topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4',
inference(splitLeft,[status(thm)],[c_12967]) ).
tff(c_13115,plain,
~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(superposition,[status(thm),theory(equality)],[c_26,c_13112]) ).
tff(c_13119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12398,c_13115]) ).
tff(c_13120,plain,
in('#skF_31'('#skF_5','#skF_6'),'#skF_5'),
inference(splitRight,[status(thm)],[c_12967]) ).
tff(c_336,plain,
! [A_244,B_245] :
( ~ in('#skF_31'(A_244,B_245),A_244)
| ~ in('#skF_32'(A_244,B_245),B_245)
| ( B_245 = A_244 ) ),
inference(cnfTransformation,[status(thm)],[f_744]) ).
tff(c_13129,plain,
( ~ in('#skF_32'('#skF_5','#skF_6'),'#skF_6')
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_13120,c_336]) ).
tff(c_13142,plain,
'#skF_5' = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_12386,c_13129]) ).
tff(c_13144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_13142]) ).
tff(c_13146,plain,
'#skF_8'('#skF_32'('#skF_5','#skF_6')) != '#skF_32'('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_906]) ).
tff(c_844,plain,
! [B_419] :
( ( '#skF_8'('#skF_32'('#skF_5',B_419)) = '#skF_32'('#skF_5',B_419) )
| in('#skF_31'('#skF_5',B_419),B_419)
| ( B_419 = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_825,c_36]) ).
tff(c_13145,plain,
'#skF_10'('#skF_31'('#skF_5','#skF_6')) = '#skF_31'('#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_906]) ).
tff(c_13224,plain,
( element('#skF_31'('#skF_5','#skF_6'),the_carrier('#skF_2'))
| ~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_13145,c_28]) ).
tff(c_13232,plain,
~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(splitLeft,[status(thm)],[c_13224]) ).
tff(c_13259,plain,
( ( '#skF_8'('#skF_32'('#skF_5','#skF_6')) = '#skF_32'('#skF_5','#skF_6') )
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_844,c_13232]) ).
tff(c_13264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_13146,c_13259]) ).
tff(c_13266,plain,
in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(splitRight,[status(thm)],[c_13224]) ).
tff(c_13265,plain,
element('#skF_31'('#skF_5','#skF_6'),the_carrier('#skF_2')),
inference(splitRight,[status(thm)],[c_13224]) ).
tff(c_18791,plain,
! [G_2416] :
( in('#skF_10'(G_2416),'#skF_5')
| ( topstr_closure('#skF_1',relation_rng_as_subset(the_carrier(subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_2416))),the_carrier('#skF_1'),the_mapping('#skF_1',subnetstr_of_element('#skF_1','#skF_2','#skF_10'(G_2416))))) != '#skF_4' )
| ~ element('#skF_10'(G_2416),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_2416),'#skF_1','#skF_2')
| ~ in('#skF_10'(G_2416),the_carrier('#skF_2'))
| ~ in(G_2416,'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_621]) ).
tff(c_19495,plain,
! [G_2454] :
( in('#skF_10'(G_2454),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_2454)) != '#skF_4' )
| ~ element('#skF_10'(G_2454),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_2454),'#skF_1','#skF_2')
| ~ in('#skF_10'(G_2454),the_carrier('#skF_2'))
| ~ in(G_2454,'#skF_6')
| ~ in(G_2454,'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_18791]) ).
tff(c_19523,plain,
! [G_2456] :
( in('#skF_10'(G_2456),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'(G_2456)) != '#skF_4' )
| ~ element('#skF_10'(G_2456),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'(G_2456),'#skF_1','#skF_2')
| ~ in(G_2456,'#skF_6')
| ~ in('#skF_10'(G_2456),'#skF_6') ),
inference(resolution,[status(thm)],[c_32,c_19495]) ).
tff(c_19526,plain,
( in('#skF_10'('#skF_31'('#skF_5','#skF_6')),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' )
| ~ element('#skF_31'('#skF_5','#skF_6'),the_carrier('#skF_2'))
| ~ netstr_induced_subset('#skF_9'('#skF_31'('#skF_5','#skF_6')),'#skF_1','#skF_2')
| ~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6')
| ~ in('#skF_10'('#skF_31'('#skF_5','#skF_6')),'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_13145,c_19523]) ).
tff(c_19534,plain,
( in('#skF_31'('#skF_5','#skF_6'),'#skF_5')
| ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' )
| ~ netstr_induced_subset('#skF_9'('#skF_31'('#skF_5','#skF_6')),'#skF_1','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_13266,c_13145,c_13266,c_13265,c_13145,c_19526]) ).
tff(c_19538,plain,
~ netstr_induced_subset('#skF_9'('#skF_31'('#skF_5','#skF_6')),'#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_19534]) ).
tff(c_19541,plain,
~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(resolution,[status(thm)],[c_30,c_19538]) ).
tff(c_19545,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13266,c_19541]) ).
tff(c_19546,plain,
( ( topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4' )
| in('#skF_31'('#skF_5','#skF_6'),'#skF_5') ),
inference(splitRight,[status(thm)],[c_19534]) ).
tff(c_19554,plain,
topstr_closure('#skF_1','#skF_9'('#skF_31'('#skF_5','#skF_6'))) != '#skF_4',
inference(splitLeft,[status(thm)],[c_19546]) ).
tff(c_19557,plain,
~ in('#skF_31'('#skF_5','#skF_6'),'#skF_6'),
inference(superposition,[status(thm),theory(equality)],[c_26,c_19554]) ).
tff(c_19561,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13266,c_19557]) ).
tff(c_19562,plain,
in('#skF_31'('#skF_5','#skF_6'),'#skF_5'),
inference(splitRight,[status(thm)],[c_19546]) ).
tff(c_802,plain,
! [A_415,B_416] :
( ~ in('#skF_31'(A_415,B_416),A_415)
| in('#skF_32'(A_415,B_416),A_415)
| ( B_416 = A_415 ) ),
inference(cnfTransformation,[status(thm)],[f_744]) ).
tff(c_814,plain,
! [B_416] :
( ( '#skF_8'('#skF_32'('#skF_5',B_416)) = '#skF_32'('#skF_5',B_416) )
| ~ in('#skF_31'('#skF_5',B_416),'#skF_5')
| ( B_416 = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_802,c_36]) ).
tff(c_19613,plain,
( ( '#skF_8'('#skF_32'('#skF_5','#skF_6')) = '#skF_32'('#skF_5','#skF_6') )
| ( '#skF_5' = '#skF_6' ) ),
inference(resolution,[status(thm)],[c_19562,c_814]) ).
tff(c_19627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_13146,c_19613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU401+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
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 12:03:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 20.02/7.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.02/7.56
% 20.02/7.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.02/7.60
% 20.02/7.60 Inference rules
% 20.02/7.60 ----------------------
% 20.02/7.60 #Ref : 4
% 20.02/7.60 #Sup : 3795
% 20.02/7.60 #Fact : 0
% 20.02/7.60 #Define : 0
% 20.02/7.60 #Split : 60
% 20.02/7.60 #Chain : 0
% 20.02/7.60 #Close : 0
% 20.02/7.60
% 20.02/7.60 Ordering : KBO
% 20.02/7.60
% 20.02/7.60 Simplification rules
% 20.02/7.60 ----------------------
% 20.02/7.60 #Subsume : 1250
% 20.02/7.60 #Demod : 2533
% 20.02/7.60 #Tautology : 401
% 20.02/7.60 #SimpNegUnit : 233
% 20.02/7.60 #BackRed : 16
% 20.02/7.60
% 20.02/7.60 #Partial instantiations: 0
% 20.02/7.60 #Strategies tried : 1
% 20.02/7.60
% 20.02/7.60 Timing (in seconds)
% 20.02/7.60 ----------------------
% 20.02/7.60 Preprocessing : 0.77
% 20.02/7.60 Parsing : 0.38
% 20.02/7.60 CNF conversion : 0.07
% 20.02/7.60 Main loop : 5.71
% 20.02/7.60 Inferencing : 2.44
% 20.02/7.60 Reduction : 1.73
% 20.02/7.60 Demodulation : 1.08
% 20.02/7.60 BG Simplification : 0.08
% 20.02/7.60 Subsumption : 1.03
% 20.02/7.60 Abstraction : 0.08
% 20.02/7.60 MUC search : 0.00
% 20.02/7.60 Cooper : 0.00
% 20.02/7.60 Total : 6.54
% 20.02/7.60 Index Insertion : 0.00
% 20.02/7.60 Index Deletion : 0.00
% 20.02/7.60 Index Matching : 0.00
% 20.02/7.60 BG Taut test : 0.00
%------------------------------------------------------------------------------