TSTP Solution File: SEU391+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU391+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 : n027.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 101.76s 81.08s
% Output : CNFRefutation 101.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 91
% Syntax : Number of formulae : 214 ( 62 unt; 88 typ; 0 def)
% Number of atoms : 341 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 339 ( 124 ~; 198 |; 10 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 68 >; 24 *; 0 +; 0 <<)
% Number of predicates : 40 ( 38 usr; 1 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 20 con; 0-3 aty)
% Number of variables : 57 (; 56 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relation_of2_as_subset > relation_of2 > is_eventually_in > upper_relstr_subset > subset > net_str > lower_relstr_subset > in > filtered_subset > element > directed_subset > with_suprema_relstr > with_infima_relstr > v1_yellow_3 > upper_bounded_relstr > up_complete_relstr > trivial_carrier > transitive_relstr > 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 > filter_of_net_str > cartesian_product2 > a_2_1_yellow19 > #nlpp > the_carrier > the_InternalRel > powerset > cast_as_carrier_subset > boole_POSet > empty_set > #skF_9 > #skF_25 > #skF_5 > #skF_21 > #skF_16 > #skF_6 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_31 > #skF_22 > #skF_38 > #skF_36 > #skF_8 > #skF_19 > #skF_37 > #skF_10 > #skF_34 > #skF_29 > #skF_15 > #skF_26 > #skF_32 > #skF_14 > #skF_28 > #skF_13 > #skF_2 > #skF_1 > #skF_7 > #skF_23 > #skF_33 > #skF_30 > #skF_3 > #skF_35 > #skF_24 > #skF_27 > #skF_40 > #skF_12 > #skF_4 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_5',type,
'#skF_5': $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(filter_of_net_str,type,
filter_of_net_str: ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $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 ).
tff('#skF_17',type,
'#skF_17': $i ).
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_31',type,
'#skF_31': $i > $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(filtered_subset,type,
filtered_subset: ( $i * $i ) > $o ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(directed_subset,type,
directed_subset: ( $i * $i ) > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff('#skF_38',type,
'#skF_38': $i ).
tff('#skF_36',type,
'#skF_36': $i ).
tff(heyting_relstr,type,
heyting_relstr: $i > $o ).
tff(lower_relstr_subset,type,
lower_relstr_subset: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_37',type,
'#skF_37': $i ).
tff(is_eventually_in,type,
is_eventually_in: ( $i * $i * $i ) > $o ).
tff(antisymmetric_relstr,type,
antisymmetric_relstr: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(up_complete_relstr,type,
up_complete_relstr: $i > $o ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
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('#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(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(a_2_1_yellow19,type,
a_2_1_yellow19: ( $i * $i ) > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(v1_yellow_3,type,
v1_yellow_3: $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(transitive_relstr,type,
transitive_relstr: $i > $o ).
tff(rel_str_of,type,
rel_str_of: ( $i * $i ) > $i ).
tff(bounded_relstr,type,
bounded_relstr: $i > $o ).
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(distributive_relstr,type,
distributive_relstr: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(relation_of2,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff(with_infima_relstr,type,
with_infima_relstr: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(boolean_relstr,type,
boolean_relstr: $i > $o ).
tff(rel_str,type,
rel_str: $i > $o ).
tff('#skF_35',type,
'#skF_35': $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
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(trivial_carrier,type,
trivial_carrier: $i > $o ).
tff(relation_of2_as_subset,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(upper_bounded_relstr,type,
upper_bounded_relstr: $i > $o ).
tff(f_1035,negated_conjecture,
~ ! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ! [B] :
( ( ~ empty_carrier(B)
& net_str(B,A) )
=> ! [C] :
( in(C,filter_of_net_str(A,B))
<=> ( is_eventually_in(A,B,C)
& element(C,powerset(the_carrier(A))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_yellow19) ).
tff(f_294,axiom,
! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ! [B] :
( ( ~ empty_carrier(B)
& net_str(B,A) )
=> ( filter_of_net_str(A,B) = a_2_1_yellow19(A,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_yellow19) ).
tff(f_629,axiom,
! [A,B,C] :
( ( ~ empty_carrier(B)
& one_sorted_str(B)
& ~ empty_carrier(C)
& net_str(C,B) )
=> ( in(A,a_2_1_yellow19(B,C))
<=> ? [D] :
( element(D,powerset(the_carrier(B)))
& ( A = D )
& is_eventually_in(B,C,D) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_1_yellow19) ).
tff(c_630,plain,
~ empty_carrier('#skF_36'),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_628,plain,
net_str('#skF_36','#skF_35'),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_634,plain,
~ empty_carrier('#skF_35'),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_636,plain,
( ~ in('#skF_37',filter_of_net_str('#skF_35','#skF_36'))
| ~ element('#skF_38',powerset(the_carrier('#skF_35')))
| ~ is_eventually_in('#skF_35','#skF_36','#skF_38') ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_722,plain,
~ is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitLeft,[status(thm)],[c_636]) ).
tff(c_632,plain,
one_sorted_str('#skF_35'),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_6408,plain,
! [A_947,B_948] :
( ( filter_of_net_str(A_947,B_948) = a_2_1_yellow19(A_947,B_948) )
| ~ net_str(B_948,A_947)
| empty_carrier(B_948)
| ~ one_sorted_str(A_947)
| empty_carrier(A_947) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_6414,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_628,c_6408]) ).
tff(c_6418,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_6414]) ).
tff(c_6419,plain,
filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36'),
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_6418]) ).
tff(c_644,plain,
( element('#skF_37',powerset(the_carrier('#skF_35')))
| in('#skF_38',filter_of_net_str('#skF_35','#skF_36')) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_720,plain,
in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitLeft,[status(thm)],[c_644]) ).
tff(c_6438,plain,
in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36')),
inference(demodulation,[status(thm),theory(equality)],[c_6419,c_720]) ).
tff(c_8258,plain,
! [A_1041,B_1042,C_1043] :
( ( '#skF_7'(A_1041,B_1042,C_1043) = A_1041 )
| ~ in(A_1041,a_2_1_yellow19(B_1042,C_1043))
| ~ net_str(C_1043,B_1042)
| empty_carrier(C_1043)
| ~ one_sorted_str(B_1042)
| empty_carrier(B_1042) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_8261,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_6438,c_8258]) ).
tff(c_8292,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_8261]) ).
tff(c_8293,plain,
'#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38',
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_8292]) ).
tff(c_8475,plain,
! [B_1053,C_1054,A_1055] :
( is_eventually_in(B_1053,C_1054,'#skF_7'(A_1055,B_1053,C_1054))
| ~ in(A_1055,a_2_1_yellow19(B_1053,C_1054))
| ~ net_str(C_1054,B_1053)
| empty_carrier(C_1054)
| ~ one_sorted_str(B_1053)
| empty_carrier(B_1053) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_8478,plain,
( is_eventually_in('#skF_35','#skF_36','#skF_38')
| ~ in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36'))
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(superposition,[status(thm),theory(equality)],[c_8293,c_8475]) ).
tff(c_8480,plain,
( is_eventually_in('#skF_35','#skF_36','#skF_38')
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_6438,c_8478]) ).
tff(c_8482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_722,c_8480]) ).
tff(c_8484,plain,
is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitRight,[status(thm)],[c_636]) ).
tff(c_640,plain,
( is_eventually_in('#skF_35','#skF_36','#skF_37')
| ~ element('#skF_38',powerset(the_carrier('#skF_35')))
| ~ is_eventually_in('#skF_35','#skF_36','#skF_38') ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_721,plain,
~ is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitLeft,[status(thm)],[c_640]) ).
tff(c_8492,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8484,c_721]) ).
tff(c_8493,plain,
( ~ element('#skF_38',powerset(the_carrier('#skF_35')))
| is_eventually_in('#skF_35','#skF_36','#skF_37') ),
inference(splitRight,[status(thm)],[c_640]) ).
tff(c_8608,plain,
~ element('#skF_38',powerset(the_carrier('#skF_35'))),
inference(splitLeft,[status(thm)],[c_8493]) ).
tff(c_13473,plain,
! [A_1803,B_1804] :
( ( filter_of_net_str(A_1803,B_1804) = a_2_1_yellow19(A_1803,B_1804) )
| ~ net_str(B_1804,A_1803)
| empty_carrier(B_1804)
| ~ one_sorted_str(A_1803)
| empty_carrier(A_1803) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_13479,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_628,c_13473]) ).
tff(c_13483,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_13479]) ).
tff(c_13484,plain,
filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36'),
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_13483]) ).
tff(c_13499,plain,
in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36')),
inference(demodulation,[status(thm),theory(equality)],[c_13484,c_720]) ).
tff(c_14726,plain,
! [A_1881,B_1882,C_1883] :
( ( '#skF_7'(A_1881,B_1882,C_1883) = A_1881 )
| ~ in(A_1881,a_2_1_yellow19(B_1882,C_1883))
| ~ net_str(C_1883,B_1882)
| empty_carrier(C_1883)
| ~ one_sorted_str(B_1882)
| empty_carrier(B_1882) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_14729,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_13499,c_14726]) ).
tff(c_14760,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_14729]) ).
tff(c_14761,plain,
'#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38',
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_14760]) ).
tff(c_15224,plain,
! [A_1905,B_1906,C_1907] :
( element('#skF_7'(A_1905,B_1906,C_1907),powerset(the_carrier(B_1906)))
| ~ in(A_1905,a_2_1_yellow19(B_1906,C_1907))
| ~ net_str(C_1907,B_1906)
| empty_carrier(C_1907)
| ~ one_sorted_str(B_1906)
| empty_carrier(B_1906) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_15239,plain,
( element('#skF_38',powerset(the_carrier('#skF_35')))
| ~ in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36'))
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(superposition,[status(thm),theory(equality)],[c_14761,c_15224]) ).
tff(c_15248,plain,
( element('#skF_38',powerset(the_carrier('#skF_35')))
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_13499,c_15239]) ).
tff(c_15250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_8608,c_15248]) ).
tff(c_15251,plain,
is_eventually_in('#skF_35','#skF_36','#skF_37'),
inference(splitRight,[status(thm)],[c_8493]) ).
tff(c_8494,plain,
is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitRight,[status(thm)],[c_640]) ).
tff(c_638,plain,
( element('#skF_37',powerset(the_carrier('#skF_35')))
| ~ element('#skF_38',powerset(the_carrier('#skF_35')))
| ~ is_eventually_in('#skF_35','#skF_36','#skF_38') ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_8509,plain,
~ is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitLeft,[status(thm)],[c_638]) ).
tff(c_8511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8494,c_8509]) ).
tff(c_8512,plain,
( ~ element('#skF_38',powerset(the_carrier('#skF_35')))
| element('#skF_37',powerset(the_carrier('#skF_35'))) ),
inference(splitRight,[status(thm)],[c_638]) ).
tff(c_15265,plain,
~ element('#skF_38',powerset(the_carrier('#skF_35'))),
inference(splitLeft,[status(thm)],[c_8512]) ).
tff(c_15252,plain,
element('#skF_38',powerset(the_carrier('#skF_35'))),
inference(splitRight,[status(thm)],[c_8493]) ).
tff(c_15288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15265,c_15252]) ).
tff(c_15289,plain,
element('#skF_37',powerset(the_carrier('#skF_35'))),
inference(splitRight,[status(thm)],[c_8512]) ).
tff(c_23713,plain,
! [D_2742,B_2743,C_2744] :
( in(D_2742,a_2_1_yellow19(B_2743,C_2744))
| ~ is_eventually_in(B_2743,C_2744,D_2742)
| ~ element(D_2742,powerset(the_carrier(B_2743)))
| ~ net_str(C_2744,B_2743)
| empty_carrier(C_2744)
| ~ one_sorted_str(B_2743)
| empty_carrier(B_2743) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_23801,plain,
! [C_2744] :
( in('#skF_37',a_2_1_yellow19('#skF_35',C_2744))
| ~ is_eventually_in('#skF_35',C_2744,'#skF_37')
| ~ net_str(C_2744,'#skF_35')
| empty_carrier(C_2744)
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_15289,c_23713]) ).
tff(c_23855,plain,
! [C_2744] :
( in('#skF_37',a_2_1_yellow19('#skF_35',C_2744))
| ~ is_eventually_in('#skF_35',C_2744,'#skF_37')
| ~ net_str(C_2744,'#skF_35')
| empty_carrier(C_2744)
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_23801]) ).
tff(c_23923,plain,
! [C_2747] :
( in('#skF_37',a_2_1_yellow19('#skF_35',C_2747))
| ~ is_eventually_in('#skF_35',C_2747,'#skF_37')
| ~ net_str(C_2747,'#skF_35')
| empty_carrier(C_2747) ),
inference(negUnitSimplification,[status(thm)],[c_634,c_23855]) ).
tff(c_20798,plain,
! [A_2605,B_2606] :
( ( filter_of_net_str(A_2605,B_2606) = a_2_1_yellow19(A_2605,B_2606) )
| ~ net_str(B_2606,A_2605)
| empty_carrier(B_2606)
| ~ one_sorted_str(A_2605)
| empty_carrier(A_2605) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_20804,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_628,c_20798]) ).
tff(c_20808,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_20804]) ).
tff(c_20809,plain,
filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36'),
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_20808]) ).
tff(c_642,plain,
( ~ in('#skF_37',filter_of_net_str('#skF_35','#skF_36'))
| in('#skF_38',filter_of_net_str('#skF_35','#skF_36')) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_719,plain,
~ in('#skF_37',filter_of_net_str('#skF_35','#skF_36')),
inference(splitLeft,[status(thm)],[c_642]) ).
tff(c_20827,plain,
~ in('#skF_37',a_2_1_yellow19('#skF_35','#skF_36')),
inference(demodulation,[status(thm),theory(equality)],[c_20809,c_719]) ).
tff(c_23931,plain,
( ~ is_eventually_in('#skF_35','#skF_36','#skF_37')
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36') ),
inference(resolution,[status(thm)],[c_23923,c_20827]) ).
tff(c_23958,plain,
empty_carrier('#skF_36'),
inference(demodulation,[status(thm),theory(equality)],[c_628,c_15251,c_23931]) ).
tff(c_23960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_630,c_23958]) ).
tff(c_23962,plain,
~ in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitRight,[status(thm)],[c_644]) ).
tff(c_646,plain,
( is_eventually_in('#skF_35','#skF_36','#skF_37')
| in('#skF_38',filter_of_net_str('#skF_35','#skF_36')) ),
inference(cnfTransformation,[status(thm)],[f_1035]) ).
tff(c_718,plain,
in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitLeft,[status(thm)],[c_646]) ).
tff(c_24057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23962,c_718]) ).
tff(c_24059,plain,
in('#skF_37',filter_of_net_str('#skF_35','#skF_36')),
inference(splitRight,[status(thm)],[c_642]) ).
tff(c_24061,plain,
~ is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitLeft,[status(thm)],[c_640]) ).
tff(c_28758,plain,
! [A_3395,B_3396] :
( ( filter_of_net_str(A_3395,B_3396) = a_2_1_yellow19(A_3395,B_3396) )
| ~ net_str(B_3396,A_3395)
| empty_carrier(B_3396)
| ~ one_sorted_str(A_3395)
| empty_carrier(A_3395) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_28764,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_628,c_28758]) ).
tff(c_28768,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_28764]) ).
tff(c_28769,plain,
filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36'),
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_28768]) ).
tff(c_28794,plain,
in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36')),
inference(demodulation,[status(thm),theory(equality)],[c_28769,c_718]) ).
tff(c_29942,plain,
! [A_3447,B_3448,C_3449] :
( ( '#skF_7'(A_3447,B_3448,C_3449) = A_3447 )
| ~ in(A_3447,a_2_1_yellow19(B_3448,C_3449))
| ~ net_str(C_3449,B_3448)
| empty_carrier(C_3449)
| ~ one_sorted_str(B_3448)
| empty_carrier(B_3448) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_29948,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_28794,c_29942]) ).
tff(c_29983,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_29948]) ).
tff(c_29984,plain,
'#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38',
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_29983]) ).
tff(c_30013,plain,
! [B_3455,C_3456,A_3457] :
( is_eventually_in(B_3455,C_3456,'#skF_7'(A_3457,B_3455,C_3456))
| ~ in(A_3457,a_2_1_yellow19(B_3455,C_3456))
| ~ net_str(C_3456,B_3455)
| empty_carrier(C_3456)
| ~ one_sorted_str(B_3455)
| empty_carrier(B_3455) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_30016,plain,
( is_eventually_in('#skF_35','#skF_36','#skF_38')
| ~ in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36'))
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(superposition,[status(thm),theory(equality)],[c_29984,c_30013]) ).
tff(c_30021,plain,
( is_eventually_in('#skF_35','#skF_36','#skF_38')
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_28794,c_30016]) ).
tff(c_30023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_24061,c_30021]) ).
tff(c_30025,plain,
is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitRight,[status(thm)],[c_640]) ).
tff(c_30026,plain,
~ is_eventually_in('#skF_35','#skF_36','#skF_38'),
inference(splitLeft,[status(thm)],[c_636]) ).
tff(c_30034,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30025,c_30026]) ).
tff(c_30035,plain,
( ~ element('#skF_38',powerset(the_carrier('#skF_35')))
| ~ in('#skF_37',filter_of_net_str('#skF_35','#skF_36')) ),
inference(splitRight,[status(thm)],[c_636]) ).
tff(c_30166,plain,
~ element('#skF_38',powerset(the_carrier('#skF_35'))),
inference(demodulation,[status(thm),theory(equality)],[c_24059,c_30035]) ).
tff(c_35080,plain,
! [A_4210,B_4211] :
( ( filter_of_net_str(A_4210,B_4211) = a_2_1_yellow19(A_4210,B_4211) )
| ~ net_str(B_4211,A_4210)
| empty_carrier(B_4211)
| ~ one_sorted_str(A_4210)
| empty_carrier(A_4210) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_35086,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_628,c_35080]) ).
tff(c_35090,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_35086]) ).
tff(c_35091,plain,
filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36'),
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_35090]) ).
tff(c_24058,plain,
in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitRight,[status(thm)],[c_642]) ).
tff(c_35116,plain,
in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36')),
inference(demodulation,[status(thm),theory(equality)],[c_35091,c_24058]) ).
tff(c_36524,plain,
! [A_4266,B_4267,C_4268] :
( ( '#skF_7'(A_4266,B_4267,C_4268) = A_4266 )
| ~ in(A_4266,a_2_1_yellow19(B_4267,C_4268))
| ~ net_str(C_4268,B_4267)
| empty_carrier(C_4268)
| ~ one_sorted_str(B_4267)
| empty_carrier(B_4267) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_36530,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_35116,c_36524]) ).
tff(c_36565,plain,
( ( '#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38' )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_36530]) ).
tff(c_36566,plain,
'#skF_7'('#skF_38','#skF_35','#skF_36') = '#skF_38',
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_36565]) ).
tff(c_36763,plain,
! [A_4287,B_4288,C_4289] :
( element('#skF_7'(A_4287,B_4288,C_4289),powerset(the_carrier(B_4288)))
| ~ in(A_4287,a_2_1_yellow19(B_4288,C_4289))
| ~ net_str(C_4289,B_4288)
| empty_carrier(C_4289)
| ~ one_sorted_str(B_4288)
| empty_carrier(B_4288) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_36778,plain,
( element('#skF_38',powerset(the_carrier('#skF_35')))
| ~ in('#skF_38',a_2_1_yellow19('#skF_35','#skF_36'))
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(superposition,[status(thm),theory(equality)],[c_36566,c_36763]) ).
tff(c_36790,plain,
( element('#skF_38',powerset(the_carrier('#skF_35')))
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_628,c_35116,c_36778]) ).
tff(c_36792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_30166,c_36790]) ).
tff(c_36793,plain,
is_eventually_in('#skF_35','#skF_36','#skF_37'),
inference(splitRight,[status(thm)],[c_646]) ).
tff(c_36794,plain,
~ in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitRight,[status(thm)],[c_646]) ).
tff(c_36795,plain,
in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitLeft,[status(thm)],[c_644]) ).
tff(c_36824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36794,c_36795]) ).
tff(c_36825,plain,
element('#skF_37',powerset(the_carrier('#skF_35'))),
inference(splitRight,[status(thm)],[c_644]) ).
tff(c_305324,plain,
! [D_246389,B_246390,C_246391] :
( in(D_246389,a_2_1_yellow19(B_246390,C_246391))
| ~ is_eventually_in(B_246390,C_246391,D_246389)
| ~ element(D_246389,powerset(the_carrier(B_246390)))
| ~ net_str(C_246391,B_246390)
| empty_carrier(C_246391)
| ~ one_sorted_str(B_246390)
| empty_carrier(B_246390) ),
inference(cnfTransformation,[status(thm)],[f_629]) ).
tff(c_305415,plain,
! [C_246391] :
( in('#skF_37',a_2_1_yellow19('#skF_35',C_246391))
| ~ is_eventually_in('#skF_35',C_246391,'#skF_37')
| ~ net_str(C_246391,'#skF_35')
| empty_carrier(C_246391)
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_36825,c_305324]) ).
tff(c_305464,plain,
! [C_246391] :
( in('#skF_37',a_2_1_yellow19('#skF_35',C_246391))
| ~ is_eventually_in('#skF_35',C_246391,'#skF_37')
| ~ net_str(C_246391,'#skF_35')
| empty_carrier(C_246391)
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_305415]) ).
tff(c_305527,plain,
! [C_246394] :
( in('#skF_37',a_2_1_yellow19('#skF_35',C_246394))
| ~ is_eventually_in('#skF_35',C_246394,'#skF_37')
| ~ net_str(C_246394,'#skF_35')
| empty_carrier(C_246394) ),
inference(negUnitSimplification,[status(thm)],[c_634,c_305464]) ).
tff(c_42125,plain,
! [A_5046,B_5047] :
( ( filter_of_net_str(A_5046,B_5047) = a_2_1_yellow19(A_5046,B_5047) )
| ~ net_str(B_5047,A_5046)
| empty_carrier(B_5047)
| ~ one_sorted_str(A_5046)
| empty_carrier(A_5046) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_42131,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| ~ one_sorted_str('#skF_35')
| empty_carrier('#skF_35') ),
inference(resolution,[status(thm)],[c_628,c_42125]) ).
tff(c_42135,plain,
( ( filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36') )
| empty_carrier('#skF_36')
| empty_carrier('#skF_35') ),
inference(demodulation,[status(thm),theory(equality)],[c_632,c_42131]) ).
tff(c_42136,plain,
filter_of_net_str('#skF_35','#skF_36') = a_2_1_yellow19('#skF_35','#skF_36'),
inference(negUnitSimplification,[status(thm)],[c_634,c_630,c_42135]) ).
tff(c_36827,plain,
~ in('#skF_37',filter_of_net_str('#skF_35','#skF_36')),
inference(splitLeft,[status(thm)],[c_642]) ).
tff(c_42139,plain,
~ in('#skF_37',a_2_1_yellow19('#skF_35','#skF_36')),
inference(demodulation,[status(thm),theory(equality)],[c_42136,c_36827]) ).
tff(c_305535,plain,
( ~ is_eventually_in('#skF_35','#skF_36','#skF_37')
| ~ net_str('#skF_36','#skF_35')
| empty_carrier('#skF_36') ),
inference(resolution,[status(thm)],[c_305527,c_42139]) ).
tff(c_305562,plain,
empty_carrier('#skF_36'),
inference(demodulation,[status(thm),theory(equality)],[c_628,c_36793,c_305535]) ).
tff(c_305564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_630,c_305562]) ).
tff(c_305565,plain,
in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitRight,[status(thm)],[c_642]) ).
tff(c_36826,plain,
~ in('#skF_38',filter_of_net_str('#skF_35','#skF_36')),
inference(splitRight,[status(thm)],[c_644]) ).
tff(c_305665,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_305565,c_36826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU391+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % 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
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 12:23:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 101.76/81.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.76/81.09
% 101.76/81.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 101.88/81.13
% 101.88/81.13 Inference rules
% 101.88/81.13 ----------------------
% 101.88/81.13 #Ref : 20
% 101.88/81.13 #Sup : 62190
% 101.88/81.13 #Fact : 1
% 101.88/81.13 #Define : 0
% 101.88/81.13 #Split : 762
% 101.88/81.13 #Chain : 0
% 101.88/81.13 #Close : 0
% 101.88/81.13
% 101.88/81.13 Ordering : KBO
% 101.88/81.13
% 101.88/81.13 Simplification rules
% 101.88/81.13 ----------------------
% 101.88/81.13 #Subsume : 17581
% 101.88/81.13 #Demod : 11544
% 101.88/81.13 #Tautology : 4918
% 101.88/81.13 #SimpNegUnit : 6841
% 101.88/81.13 #BackRed : 1975
% 101.88/81.13
% 101.88/81.13 #Partial instantiations: 297500
% 101.88/81.13 #Strategies tried : 1
% 101.88/81.13
% 101.88/81.13 Timing (in seconds)
% 101.88/81.13 ----------------------
% 101.88/81.13 Preprocessing : 0.79
% 101.88/81.13 Parsing : 0.39
% 101.88/81.13 CNF conversion : 0.08
% 101.88/81.13 Main loop : 79.20
% 101.88/81.13 Inferencing : 12.37
% 101.88/81.13 Reduction : 30.02
% 101.88/81.13 Demodulation : 22.99
% 101.88/81.13 BG Simplification : 0.47
% 101.88/81.13 Subsumption : 30.05
% 101.88/81.13 Abstraction : 0.73
% 101.88/81.13 MUC search : 0.00
% 101.88/81.13 Cooper : 0.00
% 101.88/81.13 Total : 80.05
% 101.88/81.13 Index Insertion : 0.00
% 101.88/81.13 Index Deletion : 0.00
% 101.88/81.13 Index Matching : 0.00
% 101.88/81.13 BG Taut test : 0.00
%------------------------------------------------------------------------------