TSTP Solution File: SEU236+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU236+3 : 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 : n007.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 10:58:07 EDT 2023
% Result : Theorem 283.89s 257.12s
% Output : CNFRefutation 283.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 58
% Syntax : Number of formulae : 165 ( 52 unt; 38 typ; 0 def)
% Number of atoms : 270 ( 25 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 244 ( 101 ~; 107 |; 16 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 22 >; 8 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 16 con; 0-2 aty)
% Number of variables : 112 (; 109 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > ordinal_subset > in > element > relation_non_empty > relation_empty_yielding > relation > ordinal > one_to_one > function > epsilon_transitive > epsilon_connected > empty > set_union2 > #nlpp > succ > singleton > powerset > empty_set > #skF_5 > #skF_20 > #skF_18 > #skF_17 > #skF_11 > #skF_15 > #skF_19 > #skF_7 > #skF_10 > #skF_16 > #skF_14 > #skF_6 > #skF_13 > #skF_9 > #skF_8 > #skF_3 > #skF_2 > #skF_1 > #skF_12 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(singleton,type,
singleton: $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(epsilon_transitive,type,
epsilon_transitive: $i > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $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_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(ordinal,type,
ordinal: $i > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(ordinal_subset,type,
ordinal_subset: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_280,negated_conjecture,
~ ! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ( in(A,B)
<=> ordinal_subset(succ(A),B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_ordinal1) ).
tff(f_154,axiom,
! [A] :
( ordinal(A)
=> ( ~ empty(succ(A))
& epsilon_transitive(succ(A))
& epsilon_connected(succ(A))
& ordinal(succ(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_ordinal1) ).
tff(f_248,axiom,
! [A,B] :
( ( ordinal(A)
& ordinal(B) )
=> ( ordinal_subset(A,B)
<=> subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
tff(f_258,axiom,
! [A] : in(A,succ(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
tff(f_104,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
tff(f_41,axiom,
! [A] :
( ordinal(A)
=> ( epsilon_transitive(A)
& epsilon_connected(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
tff(f_97,axiom,
! [A] :
( epsilon_transitive(A)
<=> ! [B] :
( in(B,A)
=> subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
tff(f_284,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
tff(f_270,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
tff(f_290,axiom,
! [A,B,C] :
( ( in(A,B)
& element(B,powerset(C)) )
=> element(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
tff(f_179,axiom,
? [A] :
( empty(A)
& relation(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
tff(f_301,axiom,
! [A] :
( empty(A)
=> ( A = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
tff(f_181,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_201,axiom,
? [A] :
( relation(A)
& function(A)
& one_to_one(A)
& empty(A)
& epsilon_transitive(A)
& epsilon_connected(A)
& ordinal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_ordinal1) ).
tff(f_81,axiom,
! [A,B] :
( ( ordinal(A)
& ordinal(B) )
=> ( ordinal_subset(A,B)
| ordinal_subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
tff(f_90,axiom,
! [A,B] :
( ( B = singleton(A) )
<=> ! [C] :
( in(C,B)
<=> ( C = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
tff(f_83,axiom,
! [A] : ( succ(A) = set_union2(A,singleton(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
tff(f_320,axiom,
! [A,B,C] :
( ( subset(A,B)
& subset(C,B) )
=> subset(set_union2(A,C),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
tff(f_306,axiom,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
tff(f_264,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
tff(c_194,plain,
ordinal('#skF_19'),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_88,plain,
! [A_35] :
( ordinal(succ(A_35))
| ~ ordinal(A_35) ),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_196,plain,
( ~ ordinal_subset(succ('#skF_19'),'#skF_20')
| ~ in('#skF_19','#skF_20') ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_225,plain,
~ in('#skF_19','#skF_20'),
inference(splitLeft,[status(thm)],[c_196]) ).
tff(c_192,plain,
ordinal('#skF_20'),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_202,plain,
( in('#skF_19','#skF_20')
| ordinal_subset(succ('#skF_19'),'#skF_20') ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_226,plain,
ordinal_subset(succ('#skF_19'),'#skF_20'),
inference(splitLeft,[status(thm)],[c_202]) ).
tff(c_1047,plain,
! [A_160,B_161] :
( subset(A_160,B_161)
| ~ ordinal_subset(A_160,B_161)
| ~ ordinal(B_161)
| ~ ordinal(A_160) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_184,plain,
! [A_46] : in(A_46,succ(A_46)),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_949,plain,
! [C_143,B_144,A_145] :
( in(C_143,B_144)
| ~ in(C_143,A_145)
| ~ subset(A_145,B_144) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_963,plain,
! [A_46,B_144] :
( in(A_46,B_144)
| ~ subset(succ(A_46),B_144) ),
inference(resolution,[status(thm)],[c_184,c_949]) ).
tff(c_7665,plain,
! [A_436,B_437] :
( in(A_436,B_437)
| ~ ordinal_subset(succ(A_436),B_437)
| ~ ordinal(B_437)
| ~ ordinal(succ(A_436)) ),
inference(resolution,[status(thm)],[c_1047,c_963]) ).
tff(c_7695,plain,
( in('#skF_19','#skF_20')
| ~ ordinal('#skF_20')
| ~ ordinal(succ('#skF_19')) ),
inference(resolution,[status(thm)],[c_226,c_7665]) ).
tff(c_7710,plain,
( in('#skF_19','#skF_20')
| ~ ordinal(succ('#skF_19')) ),
inference(demodulation,[status(thm),theory(equality)],[c_192,c_7695]) ).
tff(c_7711,plain,
~ ordinal(succ('#skF_19')),
inference(negUnitSimplification,[status(thm)],[c_225,c_7710]) ).
tff(c_7717,plain,
~ ordinal('#skF_19'),
inference(resolution,[status(thm)],[c_88,c_7711]) ).
tff(c_7725,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_7717]) ).
tff(c_7726,plain,
in('#skF_19','#skF_20'),
inference(splitRight,[status(thm)],[c_202]) ).
tff(c_7729,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7726,c_225]) ).
tff(c_7730,plain,
~ ordinal_subset(succ('#skF_19'),'#skF_20'),
inference(splitRight,[status(thm)],[c_196]) ).
tff(c_7732,plain,
ordinal_subset(succ('#skF_19'),'#skF_20'),
inference(splitLeft,[status(thm)],[c_202]) ).
tff(c_7768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7730,c_7732]) ).
tff(c_7770,plain,
~ ordinal_subset(succ('#skF_19'),'#skF_20'),
inference(splitRight,[status(thm)],[c_202]) ).
tff(c_7731,plain,
in('#skF_19','#skF_20'),
inference(splitRight,[status(thm)],[c_196]) ).
tff(c_7775,plain,
! [A_448] :
( epsilon_transitive(A_448)
| ~ ordinal(A_448) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_7800,plain,
epsilon_transitive('#skF_20'),
inference(resolution,[status(thm)],[c_192,c_7775]) ).
tff(c_44,plain,
! [B_22,A_19] :
( subset(B_22,A_19)
| ~ in(B_22,A_19)
| ~ epsilon_transitive(A_19) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_54,plain,
! [A_23,B_24] :
( in('#skF_4'(A_23,B_24),A_23)
| subset(A_23,B_24) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_206,plain,
! [A_53,B_54] :
( element(A_53,powerset(B_54))
| ~ subset(A_53,B_54) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_190,plain,
! [A_50,B_51] :
( in(A_50,B_51)
| empty(B_51)
| ~ element(A_50,B_51) ),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_8488,plain,
! [A_517,B_518] :
( ~ in('#skF_4'(A_517,B_518),B_518)
| subset(A_517,B_518) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_10253,plain,
! [A_635,B_636] :
( subset(A_635,B_636)
| empty(B_636)
| ~ element('#skF_4'(A_635,B_636),B_636) ),
inference(resolution,[status(thm)],[c_190,c_8488]) ).
tff(c_29811,plain,
! [A_1140,B_1141] :
( subset(A_1140,powerset(B_1141))
| empty(powerset(B_1141))
| ~ subset('#skF_4'(A_1140,powerset(B_1141)),B_1141) ),
inference(resolution,[status(thm)],[c_206,c_10253]) ).
tff(c_847697,plain,
! [A_297482,A_297483] :
( subset(A_297482,powerset(A_297483))
| empty(powerset(A_297483))
| ~ in('#skF_4'(A_297482,powerset(A_297483)),A_297483)
| ~ epsilon_transitive(A_297483) ),
inference(resolution,[status(thm)],[c_44,c_29811]) ).
tff(c_848022,plain,
! [A_297510] :
( empty(powerset(A_297510))
| ~ epsilon_transitive(A_297510)
| subset(A_297510,powerset(A_297510)) ),
inference(resolution,[status(thm)],[c_54,c_847697]) ).
tff(c_9011,plain,
! [A_561,C_562,B_563] :
( element(A_561,C_562)
| ~ element(B_563,powerset(C_562))
| ~ in(A_561,B_563) ),
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_9125,plain,
! [A_574,B_575,A_576] :
( element(A_574,B_575)
| ~ in(A_574,A_576)
| ~ subset(A_576,B_575) ),
inference(resolution,[status(thm)],[c_206,c_9011]) ).
tff(c_9149,plain,
! [B_575] :
( element('#skF_19',B_575)
| ~ subset('#skF_20',B_575) ),
inference(resolution,[status(thm)],[c_7731,c_9125]) ).
tff(c_848328,plain,
( element('#skF_19',powerset('#skF_20'))
| empty(powerset('#skF_20'))
| ~ epsilon_transitive('#skF_20') ),
inference(resolution,[status(thm)],[c_848022,c_9149]) ).
tff(c_848521,plain,
( element('#skF_19',powerset('#skF_20'))
| empty(powerset('#skF_20')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7800,c_848328]) ).
tff(c_848538,plain,
empty(powerset('#skF_20')),
inference(splitLeft,[status(thm)],[c_848521]) ).
tff(c_116,plain,
empty('#skF_8'),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_7856,plain,
! [A_457] :
( ( empty_set = A_457 )
| ~ empty(A_457) ),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_7876,plain,
empty_set = '#skF_8',
inference(resolution,[status(thm)],[c_116,c_7856]) ).
tff(c_118,plain,
empty('#skF_9'),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_7877,plain,
empty_set = '#skF_9',
inference(resolution,[status(thm)],[c_118,c_7856]) ).
tff(c_7904,plain,
'#skF_9' = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_7876,c_7877]) ).
tff(c_132,plain,
empty('#skF_11'),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_7874,plain,
empty_set = '#skF_11',
inference(resolution,[status(thm)],[c_132,c_7856]) ).
tff(c_7899,plain,
'#skF_11' = '#skF_9',
inference(demodulation,[status(thm),theory(equality)],[c_7877,c_7874]) ).
tff(c_7952,plain,
'#skF_11' = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_7904,c_7899]) ).
tff(c_212,plain,
! [A_61] :
( ( empty_set = A_61 )
| ~ empty(A_61) ),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_7879,plain,
! [A_61] :
( ( A_61 = '#skF_11' )
| ~ empty(A_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_7874,c_212]) ).
tff(c_7991,plain,
! [A_61] :
( ( A_61 = '#skF_8' )
| ~ empty(A_61) ),
inference(demodulation,[status(thm),theory(equality)],[c_7952,c_7879]) ).
tff(c_848554,plain,
powerset('#skF_20') = '#skF_8',
inference(resolution,[status(thm)],[c_848538,c_7991]) ).
tff(c_862910,plain,
! [A_314857] :
( element(A_314857,'#skF_8')
| ~ subset(A_314857,'#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_848554,c_206]) ).
tff(c_863005,plain,
! [B_22] :
( element(B_22,'#skF_8')
| ~ in(B_22,'#skF_20')
| ~ epsilon_transitive('#skF_20') ),
inference(resolution,[status(thm)],[c_44,c_862910]) ).
tff(c_864799,plain,
! [B_315331] :
( element(B_315331,'#skF_8')
| ~ in(B_315331,'#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_7800,c_863005]) ).
tff(c_864935,plain,
element('#skF_19','#skF_8'),
inference(resolution,[status(thm)],[c_7731,c_864799]) ).
tff(c_204,plain,
! [A_53,B_54] :
( subset(A_53,B_54)
| ~ element(A_53,powerset(B_54)) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_848955,plain,
! [A_53] :
( subset(A_53,'#skF_20')
| ~ element(A_53,'#skF_8') ),
inference(superposition,[status(thm),theory(equality)],[c_848554,c_204]) ).
tff(c_9188,plain,
! [B_578,A_579] :
( ordinal_subset(B_578,A_579)
| ordinal_subset(A_579,B_578)
| ~ ordinal(B_578)
| ~ ordinal(A_579) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_9199,plain,
( ordinal_subset('#skF_20',succ('#skF_19'))
| ~ ordinal(succ('#skF_19'))
| ~ ordinal('#skF_20') ),
inference(resolution,[status(thm)],[c_9188,c_7770]) ).
tff(c_9219,plain,
( ordinal_subset('#skF_20',succ('#skF_19'))
| ~ ordinal(succ('#skF_19')) ),
inference(demodulation,[status(thm),theory(equality)],[c_192,c_9199]) ).
tff(c_9229,plain,
~ ordinal(succ('#skF_19')),
inference(splitLeft,[status(thm)],[c_9219]) ).
tff(c_9235,plain,
~ ordinal('#skF_19'),
inference(resolution,[status(thm)],[c_88,c_9229]) ).
tff(c_9243,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_9235]) ).
tff(c_9245,plain,
ordinal(succ('#skF_19')),
inference(splitRight,[status(thm)],[c_9219]) ).
tff(c_8312,plain,
! [A_501,B_502] :
( in('#skF_4'(A_501,B_502),A_501)
| subset(A_501,B_502) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_32,plain,
! [C_18,A_14] :
( ( C_18 = A_14 )
| ~ in(C_18,singleton(A_14)) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_8325,plain,
! [A_14,B_502] :
( ( '#skF_4'(singleton(A_14),B_502) = A_14 )
| subset(singleton(A_14),B_502) ),
inference(resolution,[status(thm)],[c_8312,c_32]) ).
tff(c_30,plain,
! [A_13] : ( set_union2(A_13,singleton(A_13)) = succ(A_13) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_9316,plain,
! [A_584,C_585,B_586] :
( subset(set_union2(A_584,C_585),B_586)
| ~ subset(C_585,B_586)
| ~ subset(A_584,B_586) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_10356,plain,
! [A_638,B_639] :
( subset(succ(A_638),B_639)
| ~ subset(singleton(A_638),B_639)
| ~ subset(A_638,B_639) ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_9316]) ).
tff(c_176,plain,
! [A_40,B_41] :
( ordinal_subset(A_40,B_41)
| ~ subset(A_40,B_41)
| ~ ordinal(B_41)
| ~ ordinal(A_40) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_484378,plain,
! [A_164560,B_164561] :
( ordinal_subset(succ(A_164560),B_164561)
| ~ ordinal(B_164561)
| ~ ordinal(succ(A_164560))
| ~ subset(singleton(A_164560),B_164561)
| ~ subset(A_164560,B_164561) ),
inference(resolution,[status(thm)],[c_10356,c_176]) ).
tff(c_921862,plain,
! [A_331336,B_331337] :
( ordinal_subset(succ(A_331336),B_331337)
| ~ ordinal(B_331337)
| ~ ordinal(succ(A_331336))
| ~ subset(A_331336,B_331337)
| ( '#skF_4'(singleton(A_331336),B_331337) = A_331336 ) ),
inference(resolution,[status(thm)],[c_8325,c_484378]) ).
tff(c_921969,plain,
( ~ ordinal('#skF_20')
| ~ ordinal(succ('#skF_19'))
| ~ subset('#skF_19','#skF_20')
| ( '#skF_4'(singleton('#skF_19'),'#skF_20') = '#skF_19' ) ),
inference(resolution,[status(thm)],[c_921862,c_7770]) ).
tff(c_922135,plain,
( ~ subset('#skF_19','#skF_20')
| ( '#skF_4'(singleton('#skF_19'),'#skF_20') = '#skF_19' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9245,c_192,c_921969]) ).
tff(c_922140,plain,
~ subset('#skF_19','#skF_20'),
inference(splitLeft,[status(thm)],[c_922135]) ).
tff(c_922143,plain,
~ element('#skF_19','#skF_8'),
inference(resolution,[status(thm)],[c_848955,c_922140]) ).
tff(c_922160,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_864935,c_922143]) ).
tff(c_922162,plain,
subset('#skF_19','#skF_20'),
inference(splitRight,[status(thm)],[c_922135]) ).
tff(c_7998,plain,
! [B_464,A_465] :
( ~ empty(B_464)
| ~ in(A_465,B_464) ),
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_8010,plain,
~ empty('#skF_20'),
inference(resolution,[status(thm)],[c_7731,c_7998]) ).
tff(c_8019,plain,
! [A_469,B_470] :
( element(A_469,B_470)
| ~ in(A_469,B_470) ),
inference(cnfTransformation,[status(thm)],[f_264]) ).
tff(c_8031,plain,
element('#skF_19','#skF_20'),
inference(resolution,[status(thm)],[c_7731,c_8019]) ).
tff(c_922161,plain,
'#skF_4'(singleton('#skF_19'),'#skF_20') = '#skF_19',
inference(splitRight,[status(thm)],[c_922135]) ).
tff(c_8497,plain,
! [A_517,B_51] :
( subset(A_517,B_51)
| empty(B_51)
| ~ element('#skF_4'(A_517,B_51),B_51) ),
inference(resolution,[status(thm)],[c_190,c_8488]) ).
tff(c_922681,plain,
( subset(singleton('#skF_19'),'#skF_20')
| empty('#skF_20')
| ~ element('#skF_19','#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_922161,c_8497]) ).
tff(c_922841,plain,
( subset(singleton('#skF_19'),'#skF_20')
| empty('#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_8031,c_922681]) ).
tff(c_922842,plain,
subset(singleton('#skF_19'),'#skF_20'),
inference(negUnitSimplification,[status(thm)],[c_8010,c_922841]) ).
tff(c_10406,plain,
! [A_638,B_639] :
( ordinal_subset(succ(A_638),B_639)
| ~ ordinal(B_639)
| ~ ordinal(succ(A_638))
| ~ subset(singleton(A_638),B_639)
| ~ subset(A_638,B_639) ),
inference(resolution,[status(thm)],[c_10356,c_176]) ).
tff(c_922933,plain,
( ordinal_subset(succ('#skF_19'),'#skF_20')
| ~ ordinal('#skF_20')
| ~ ordinal(succ('#skF_19'))
| ~ subset('#skF_19','#skF_20') ),
inference(resolution,[status(thm)],[c_922842,c_10406]) ).
tff(c_923044,plain,
ordinal_subset(succ('#skF_19'),'#skF_20'),
inference(demodulation,[status(thm),theory(equality)],[c_922162,c_9245,c_192,c_922933]) ).
tff(c_923046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7770,c_923044]) ).
tff(c_923047,plain,
element('#skF_19',powerset('#skF_20')),
inference(splitRight,[status(thm)],[c_848521]) ).
tff(c_923083,plain,
subset('#skF_19','#skF_20'),
inference(resolution,[status(thm)],[c_923047,c_204]) ).
tff(c_995896,plain,
! [A_345697,B_345698] :
( ordinal_subset(succ(A_345697),B_345698)
| ~ ordinal(B_345698)
| ~ ordinal(succ(A_345697))
| ~ subset(A_345697,B_345698)
| ( '#skF_4'(singleton(A_345697),B_345698) = A_345697 ) ),
inference(resolution,[status(thm)],[c_8325,c_484378]) ).
tff(c_995998,plain,
( ~ ordinal('#skF_20')
| ~ ordinal(succ('#skF_19'))
| ~ subset('#skF_19','#skF_20')
| ( '#skF_4'(singleton('#skF_19'),'#skF_20') = '#skF_19' ) ),
inference(resolution,[status(thm)],[c_995896,c_7770]) ).
tff(c_996133,plain,
'#skF_4'(singleton('#skF_19'),'#skF_20') = '#skF_19',
inference(demodulation,[status(thm),theory(equality)],[c_923083,c_9245,c_192,c_995998]) ).
tff(c_996198,plain,
( subset(singleton('#skF_19'),'#skF_20')
| empty('#skF_20')
| ~ element('#skF_19','#skF_20') ),
inference(superposition,[status(thm),theory(equality)],[c_996133,c_8497]) ).
tff(c_996327,plain,
( subset(singleton('#skF_19'),'#skF_20')
| empty('#skF_20') ),
inference(demodulation,[status(thm),theory(equality)],[c_8031,c_996198]) ).
tff(c_996328,plain,
subset(singleton('#skF_19'),'#skF_20'),
inference(negUnitSimplification,[status(thm)],[c_8010,c_996327]) ).
tff(c_996405,plain,
( ordinal_subset(succ('#skF_19'),'#skF_20')
| ~ ordinal('#skF_20')
| ~ ordinal(succ('#skF_19'))
| ~ subset('#skF_19','#skF_20') ),
inference(resolution,[status(thm)],[c_996328,c_10406]) ).
tff(c_996506,plain,
ordinal_subset(succ('#skF_19'),'#skF_20'),
inference(demodulation,[status(thm),theory(equality)],[c_923083,c_9245,c_192,c_996405]) ).
tff(c_996508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7770,c_996506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU236+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.15/0.36 % Computer : n007.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 11:32:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 283.89/257.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 283.97/257.14
% 283.97/257.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 283.97/257.18
% 283.97/257.18 Inference rules
% 283.97/257.18 ----------------------
% 283.97/257.18 #Ref : 0
% 283.97/257.18 #Sup : 200053
% 283.97/257.18 #Fact : 30
% 283.97/257.18 #Define : 0
% 283.97/257.18 #Split : 559
% 283.97/257.18 #Chain : 0
% 283.97/257.18 #Close : 0
% 283.97/257.18
% 283.97/257.18 Ordering : KBO
% 283.97/257.18
% 283.97/257.18 Simplification rules
% 283.97/257.18 ----------------------
% 283.97/257.18 #Subsume : 79659
% 283.97/257.18 #Demod : 74508
% 283.97/257.18 #Tautology : 25594
% 283.97/257.18 #SimpNegUnit : 30445
% 283.97/257.18 #BackRed : 1497
% 283.97/257.18
% 283.97/257.18 #Partial instantiations: 651050
% 283.97/257.18 #Strategies tried : 1
% 283.97/257.18
% 283.97/257.18 Timing (in seconds)
% 283.97/257.18 ----------------------
% 283.97/257.18 Preprocessing : 0.60
% 283.97/257.18 Parsing : 0.31
% 283.97/257.18 CNF conversion : 0.05
% 283.97/257.18 Main loop : 255.49
% 283.97/257.18 Inferencing : 27.53
% 283.97/257.18 Reduction : 117.04
% 283.97/257.18 Demodulation : 72.63
% 283.97/257.18 BG Simplification : 0.97
% 283.97/257.18 Subsumption : 94.83
% 283.97/257.18 Abstraction : 1.72
% 283.97/257.18 MUC search : 0.00
% 283.97/257.18 Cooper : 0.00
% 283.97/257.18 Total : 256.17
% 283.97/257.18 Index Insertion : 0.00
% 283.97/257.18 Index Deletion : 0.00
% 283.97/257.18 Index Matching : 0.00
% 283.97/257.18 BG Taut test : 0.00
%------------------------------------------------------------------------------