TSTP Solution File: SEU094+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n005.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 10:57:35 EDT 2023
% Result : Theorem 11.12s 4.03s
% Output : CNFRefutation 11.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 58
% Syntax : Number of formulae : 203 ( 85 unt; 52 typ; 0 def)
% Number of atoms : 254 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 213 ( 110 ~; 93 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 26 >; 3 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 26 con; 0-1 aty)
% Number of variables : 60 (; 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > transfinite_sequence > relation_non_empty > relation_empty_yielding > relation > ordinal_yielding > ordinal > one_to_one > natural > function_yielding > function > finite > epsilon_transitive > epsilon_connected > empty > being_limit_ordinal > #nlpp > union > powerset > positive_rationals > empty_set > #skF_21 > #skF_20 > #skF_2 > #skF_18 > #skF_17 > #skF_11 > #skF_15 > #skF_1 > #skF_25 > #skF_19 > #skF_7 > #skF_16 > #skF_26 > #skF_14 > #skF_5 > #skF_10 > #skF_6 > #skF_3 > #skF_9 > #skF_8 > #skF_30 > #skF_13 > #skF_4 > #skF_22 > #skF_29 > #skF_28 > #skF_24 > #skF_27 > #skF_23 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff(relation,type,
relation: $i > $o ).
tff(union,type,
union: $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(positive_rationals,type,
positive_rationals: $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(relation_non_empty,type,
relation_non_empty: $i > $o ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_25',type,
'#skF_25': $i ).
tff(epsilon_transitive,type,
epsilon_transitive: $i > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(ordinal_yielding,type,
ordinal_yielding: $i > $o ).
tff(function,type,
function: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(ordinal,type,
ordinal: $i > $o ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(function_yielding,type,
function_yielding: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_30',type,
'#skF_30': $i ).
tff(being_limit_ordinal,type,
being_limit_ordinal: $i > $o ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(natural,type,
natural: $i > $o ).
tff(transfinite_sequence,type,
transfinite_sequence: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_382,negated_conjecture,
~ ! [A] :
( ( finite(A)
& ! [B] :
( in(B,A)
=> finite(B) ) )
<=> finite(union(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_finset_1) ).
tff(f_166,axiom,
! [A] :
( ( finite(A)
& ! [B] :
( in(B,A)
=> finite(B) ) )
=> finite(union(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l22_finset_1) ).
tff(f_372,axiom,
! [A] :
( finite(A)
<=> finite(powerset(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_finset_1) ).
tff(f_358,axiom,
! [A] : subset(A,powerset(union(A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_zfmisc_1) ).
tff(f_364,axiom,
! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
tff(f_426,axiom,
! [A,B] :
( in(A,B)
=> subset(A,union(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).
tff(c_278,plain,
( finite(union('#skF_28'))
| ~ finite(union('#skF_30')) ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_320,plain,
~ finite(union('#skF_30')),
inference(splitLeft,[status(thm)],[c_278]) ).
tff(c_290,plain,
( finite(union('#skF_28'))
| finite('#skF_30') ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_319,plain,
finite('#skF_30'),
inference(splitLeft,[status(thm)],[c_290]) ).
tff(c_4435,plain,
! [A_526] :
( ~ finite('#skF_2'(A_526))
| finite(union(A_526))
| ~ finite(A_526) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_4444,plain,
( ~ finite('#skF_2'('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_4435,c_320]) ).
tff(c_4451,plain,
~ finite('#skF_2'('#skF_30')),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_4444]) ).
tff(c_4699,plain,
! [A_540] :
( in('#skF_2'(A_540),A_540)
| finite(union(A_540))
| ~ finite(A_540) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_3766,plain,
! [A_448] :
( ~ finite('#skF_2'(A_448))
| finite(union(A_448))
| ~ finite(A_448) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_3772,plain,
( ~ finite('#skF_2'('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_3766,c_320]) ).
tff(c_3776,plain,
~ finite('#skF_2'('#skF_30')),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_3772]) ).
tff(c_3805,plain,
! [A_451] :
( in('#skF_2'(A_451),A_451)
| finite(union(A_451))
| ~ finite(A_451) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_3086,plain,
! [A_383] :
( ~ finite('#skF_2'(A_383))
| finite(union(A_383))
| ~ finite(A_383) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_3092,plain,
( ~ finite('#skF_2'('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_3086,c_320]) ).
tff(c_3096,plain,
~ finite('#skF_2'('#skF_30')),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_3092]) ).
tff(c_3192,plain,
! [A_389] :
( in('#skF_2'(A_389),A_389)
| finite(union(A_389))
| ~ finite(A_389) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_286,plain,
! [B_42] :
( ~ finite('#skF_29')
| ~ finite('#skF_28')
| finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_1671,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_286]) ).
tff(c_294,plain,
( in('#skF_29','#skF_28')
| ~ finite('#skF_28')
| finite('#skF_30') ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_1662,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_294]) ).
tff(c_280,plain,
( ~ finite('#skF_29')
| ~ finite('#skF_28')
| ~ finite(union('#skF_30')) ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_323,plain,
~ finite(union('#skF_30')),
inference(splitLeft,[status(thm)],[c_280]) ).
tff(c_1429,plain,
! [A_194] :
( ~ finite('#skF_2'(A_194))
| finite(union(A_194))
| ~ finite(A_194) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_1438,plain,
( ~ finite('#skF_2'('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_1429,c_323]) ).
tff(c_1443,plain,
~ finite('#skF_2'('#skF_30')),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_1438]) ).
tff(c_1619,plain,
! [A_201] :
( in('#skF_2'(A_201),A_201)
| finite(union(A_201))
| ~ finite(A_201) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_292,plain,
( ~ finite('#skF_29')
| ~ finite('#skF_28')
| finite('#skF_30') ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_321,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_292]) ).
tff(c_284,plain,
! [B_42] :
( finite(union('#skF_28'))
| finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_324,plain,
finite(union('#skF_28')),
inference(splitLeft,[status(thm)],[c_284]) ).
tff(c_274,plain,
! [A_39] :
( finite(powerset(A_39))
| ~ finite(A_39) ),
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_268,plain,
! [A_34] : subset(A_34,powerset(union(A_34))),
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_807,plain,
! [A_117,B_118] :
( finite(A_117)
| ~ finite(B_118)
| ~ subset(A_117,B_118) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_820,plain,
! [A_119] :
( finite(A_119)
| ~ finite(powerset(union(A_119))) ),
inference(resolution,[status(thm)],[c_268,c_807]) ).
tff(c_829,plain,
! [A_120] :
( finite(A_120)
| ~ finite(union(A_120)) ),
inference(resolution,[status(thm)],[c_274,c_820]) ).
tff(c_835,plain,
finite('#skF_28'),
inference(resolution,[status(thm)],[c_324,c_829]) ).
tff(c_840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_321,c_835]) ).
tff(c_841,plain,
! [B_42] :
( finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_1631,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_1619,c_841]) ).
tff(c_1637,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30')) ),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_1631]) ).
tff(c_1639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_323,c_1443,c_1637]) ).
tff(c_1641,plain,
finite(union('#skF_30')),
inference(splitRight,[status(thm)],[c_280]) ).
tff(c_1658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320,c_1641]) ).
tff(c_1660,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_292]) ).
tff(c_1666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1662,c_1660]) ).
tff(c_1668,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_294]) ).
tff(c_1672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1671,c_1668]) ).
tff(c_1673,plain,
! [B_42] :
( ~ finite('#skF_29')
| finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(splitRight,[status(thm)],[c_286]) ).
tff(c_1844,plain,
~ finite('#skF_29'),
inference(splitLeft,[status(thm)],[c_1673]) ).
tff(c_288,plain,
! [B_42] :
( in('#skF_29','#skF_28')
| ~ finite('#skF_28')
| finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_1675,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_288]) ).
tff(c_1674,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_286]) ).
tff(c_1676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1675,c_1674]) ).
tff(c_1677,plain,
! [B_42] :
( in('#skF_29','#skF_28')
| finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(splitRight,[status(thm)],[c_288]) ).
tff(c_1909,plain,
in('#skF_29','#skF_28'),
inference(splitLeft,[status(thm)],[c_1677]) ).
tff(c_1670,plain,
finite(union('#skF_28')),
inference(splitLeft,[status(thm)],[c_284]) ).
tff(c_312,plain,
! [A_58,B_59] :
( subset(A_58,union(B_59))
| ~ in(A_58,B_59) ),
inference(cnfTransformation,[status(thm)],[f_426]) ).
tff(c_2127,plain,
! [A_272,B_273] :
( finite(A_272)
| ~ finite(B_273)
| ~ subset(A_272,B_273) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_2653,plain,
! [A_327,B_328] :
( finite(A_327)
| ~ finite(union(B_328))
| ~ in(A_327,B_328) ),
inference(resolution,[status(thm)],[c_312,c_2127]) ).
tff(c_2670,plain,
! [A_329] :
( finite(A_329)
| ~ in(A_329,'#skF_28') ),
inference(resolution,[status(thm)],[c_1670,c_2653]) ).
tff(c_2681,plain,
finite('#skF_29'),
inference(resolution,[status(thm)],[c_1909,c_2670]) ).
tff(c_2691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1844,c_2681]) ).
tff(c_2692,plain,
! [B_42] :
( finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(splitRight,[status(thm)],[c_1677]) ).
tff(c_3204,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_3192,c_2692]) ).
tff(c_3210,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30')) ),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_3204]) ).
tff(c_3212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320,c_3096,c_3210]) ).
tff(c_3213,plain,
! [B_42] :
( finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(splitRight,[status(thm)],[c_1673]) ).
tff(c_3817,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_3805,c_3213]) ).
tff(c_3823,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30')) ),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_3817]) ).
tff(c_3825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320,c_3776,c_3823]) ).
tff(c_3826,plain,
! [B_42] :
( finite(B_42)
| ~ in(B_42,'#skF_30') ),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_4711,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30'))
| ~ finite('#skF_30') ),
inference(resolution,[status(thm)],[c_4699,c_3826]) ).
tff(c_4717,plain,
( finite('#skF_2'('#skF_30'))
| finite(union('#skF_30')) ),
inference(demodulation,[status(thm),theory(equality)],[c_319,c_4711]) ).
tff(c_4719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320,c_4451,c_4717]) ).
tff(c_4720,plain,
finite(union('#skF_28')),
inference(splitRight,[status(thm)],[c_278]) ).
tff(c_5413,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_288]) ).
tff(c_5405,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_288]) ).
tff(c_5267,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_288]) ).
tff(c_4767,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_288]) ).
tff(c_5216,plain,
! [A_619,B_620] :
( finite(A_619)
| ~ finite(B_620)
| ~ subset(A_619,B_620) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_5234,plain,
! [A_622] :
( finite(A_622)
| ~ finite(powerset(union(A_622))) ),
inference(resolution,[status(thm)],[c_268,c_5216]) ).
tff(c_5243,plain,
! [A_623] :
( finite(A_623)
| ~ finite(union(A_623)) ),
inference(resolution,[status(thm)],[c_274,c_5234]) ).
tff(c_5249,plain,
finite('#skF_28'),
inference(resolution,[status(thm)],[c_4720,c_5243]) ).
tff(c_5257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4767,c_5249]) ).
tff(c_5259,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_288]) ).
tff(c_4745,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_294]) ).
tff(c_5261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5259,c_4745]) ).
tff(c_5263,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_294]) ).
tff(c_5268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5267,c_5263]) ).
tff(c_5270,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_288]) ).
tff(c_4722,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_292]) ).
tff(c_5273,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5270,c_4722]) ).
tff(c_5275,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_292]) ).
tff(c_5406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5405,c_5275]) ).
tff(c_5408,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_288]) ).
tff(c_5404,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_286]) ).
tff(c_5410,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5408,c_5404]) ).
tff(c_5412,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_286]) ).
tff(c_5414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5413,c_5412]) ).
tff(c_5416,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_288]) ).
tff(c_282,plain,
( in('#skF_29','#skF_28')
| ~ finite('#skF_28')
| ~ finite(union('#skF_30')) ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_5301,plain,
~ finite(union('#skF_30')),
inference(splitLeft,[status(thm)],[c_282]) ).
tff(c_4721,plain,
finite(union('#skF_30')),
inference(splitRight,[status(thm)],[c_278]) ).
tff(c_5331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5301,c_4721]) ).
tff(c_5333,plain,
finite(union('#skF_30')),
inference(splitRight,[status(thm)],[c_282]) ).
tff(c_5299,plain,
~ finite(union('#skF_30')),
inference(splitLeft,[status(thm)],[c_280]) ).
tff(c_5364,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5333,c_5299]) ).
tff(c_5365,plain,
( ~ finite('#skF_28')
| ~ finite('#skF_29') ),
inference(splitRight,[status(thm)],[c_280]) ).
tff(c_5501,plain,
~ finite('#skF_29'),
inference(demodulation,[status(thm),theory(equality)],[c_5416,c_5365]) ).
tff(c_5367,plain,
~ finite(union('#skF_30')),
inference(splitLeft,[status(thm)],[c_282]) ).
tff(c_5366,plain,
finite(union('#skF_30')),
inference(splitRight,[status(thm)],[c_280]) ).
tff(c_5400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5367,c_5366]) ).
tff(c_5401,plain,
( ~ finite('#skF_28')
| in('#skF_29','#skF_28') ),
inference(splitRight,[status(thm)],[c_282]) ).
tff(c_5545,plain,
in('#skF_29','#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_5416,c_5401]) ).
tff(c_5403,plain,
finite(union('#skF_28')),
inference(splitLeft,[status(thm)],[c_284]) ).
tff(c_5801,plain,
! [A_712,B_713] :
( subset(A_712,union(B_713))
| ~ in(A_712,B_713) ),
inference(cnfTransformation,[status(thm)],[f_426]) ).
tff(c_270,plain,
! [A_35,B_36] :
( finite(A_35)
| ~ finite(B_36)
| ~ subset(A_35,B_36) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_6324,plain,
! [A_767,B_768] :
( finite(A_767)
| ~ finite(union(B_768))
| ~ in(A_767,B_768) ),
inference(resolution,[status(thm)],[c_5801,c_270]) ).
tff(c_6357,plain,
! [A_770] :
( finite(A_770)
| ~ in(A_770,'#skF_28') ),
inference(resolution,[status(thm)],[c_5403,c_6324]) ).
tff(c_6368,plain,
finite('#skF_29'),
inference(resolution,[status(thm)],[c_5545,c_6357]) ).
tff(c_6378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5501,c_6368]) ).
tff(c_6380,plain,
~ finite(union('#skF_28')),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_6411,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4720,c_6380]) ).
tff(c_6413,plain,
~ finite('#skF_30'),
inference(splitRight,[status(thm)],[c_290]) ).
tff(c_6418,plain,
( in('#skF_29','#skF_28')
| ~ finite('#skF_28') ),
inference(negUnitSimplification,[status(thm)],[c_6413,c_294]) ).
tff(c_6419,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_6418]) ).
tff(c_6412,plain,
finite(union('#skF_28')),
inference(splitRight,[status(thm)],[c_290]) ).
tff(c_6882,plain,
! [A_848,B_849] :
( finite(A_848)
| ~ finite(B_849)
| ~ subset(A_848,B_849) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_6912,plain,
! [A_850] :
( finite(A_850)
| ~ finite(powerset(union(A_850))) ),
inference(resolution,[status(thm)],[c_268,c_6882]) ).
tff(c_6921,plain,
! [A_851] :
( finite(A_851)
| ~ finite(union(A_851)) ),
inference(resolution,[status(thm)],[c_274,c_6912]) ).
tff(c_6927,plain,
finite('#skF_28'),
inference(resolution,[status(thm)],[c_6412,c_6921]) ).
tff(c_6932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6419,c_6927]) ).
tff(c_6934,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_6418]) ).
tff(c_6415,plain,
( ~ finite('#skF_29')
| ~ finite('#skF_28') ),
inference(negUnitSimplification,[status(thm)],[c_6413,c_292]) ).
tff(c_6416,plain,
~ finite('#skF_28'),
inference(splitLeft,[status(thm)],[c_6415]) ).
tff(c_6946,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6934,c_6416]) ).
tff(c_6947,plain,
~ finite('#skF_29'),
inference(splitRight,[status(thm)],[c_6415]) ).
tff(c_6948,plain,
finite('#skF_28'),
inference(splitRight,[status(thm)],[c_6415]) ).
tff(c_6950,plain,
( in('#skF_29','#skF_28')
| finite('#skF_30') ),
inference(demodulation,[status(thm),theory(equality)],[c_6948,c_294]) ).
tff(c_6951,plain,
in('#skF_29','#skF_28'),
inference(negUnitSimplification,[status(thm)],[c_6413,c_6950]) ).
tff(c_7480,plain,
! [A_912,B_913] :
( finite(A_912)
| ~ finite(B_913)
| ~ subset(A_912,B_913) ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_7895,plain,
! [A_960,B_961] :
( finite(A_960)
| ~ finite(union(B_961))
| ~ in(A_960,B_961) ),
inference(resolution,[status(thm)],[c_312,c_7480]) ).
tff(c_7912,plain,
! [A_962] :
( finite(A_962)
| ~ in(A_962,'#skF_28') ),
inference(resolution,[status(thm)],[c_6412,c_7895]) ).
tff(c_7923,plain,
finite('#skF_29'),
inference(resolution,[status(thm)],[c_6951,c_7912]) ).
tff(c_7933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6947,c_7923]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU094+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 11:54:12 EDT 2023
% 0.15/0.36 % CPUTime :
% 11.12/4.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.12/4.04
% 11.12/4.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.43/4.09
% 11.43/4.09 Inference rules
% 11.43/4.09 ----------------------
% 11.43/4.09 #Ref : 0
% 11.43/4.09 #Sup : 1390
% 11.43/4.09 #Fact : 0
% 11.43/4.09 #Define : 0
% 11.43/4.09 #Split : 164
% 11.43/4.09 #Chain : 0
% 11.43/4.09 #Close : 0
% 11.43/4.09
% 11.43/4.09 Ordering : KBO
% 11.43/4.09
% 11.43/4.09 Simplification rules
% 11.43/4.09 ----------------------
% 11.43/4.09 #Subsume : 342
% 11.43/4.09 #Demod : 1217
% 11.43/4.09 #Tautology : 841
% 11.43/4.09 #SimpNegUnit : 43
% 11.43/4.09 #BackRed : 377
% 11.43/4.09
% 11.43/4.09 #Partial instantiations: 0
% 11.43/4.09 #Strategies tried : 1
% 11.43/4.09
% 11.43/4.09 Timing (in seconds)
% 11.43/4.09 ----------------------
% 11.43/4.09 Preprocessing : 0.62
% 11.43/4.09 Parsing : 0.33
% 11.43/4.09 CNF conversion : 0.06
% 11.43/4.09 Main loop : 2.25
% 11.43/4.09 Inferencing : 0.82
% 11.43/4.09 Reduction : 0.78
% 11.43/4.09 Demodulation : 0.52
% 11.43/4.09 BG Simplification : 0.05
% 11.43/4.09 Subsumption : 0.34
% 11.43/4.09 Abstraction : 0.04
% 11.43/4.09 MUC search : 0.00
% 11.43/4.09 Cooper : 0.00
% 11.43/4.09 Total : 2.94
% 11.43/4.09 Index Insertion : 0.00
% 11.43/4.09 Index Deletion : 0.00
% 11.43/4.09 Index Matching : 0.00
% 11.43/4.09 BG Taut test : 0.00
%------------------------------------------------------------------------------