TSTP Solution File: SEU238+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU238+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n023.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 10:58:08 EDT 2023
% Result : Theorem 274.36s 231.50s
% Output : CNFRefutation 274.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 44
% Syntax : Number of formulae : 117 ( 25 unt; 35 typ; 0 def)
% Number of atoms : 247 ( 35 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 302 ( 137 ~; 139 |; 9 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 20 >; 6 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-2 aty)
% Number of variables : 77 (; 76 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > proper_subset > ordinal_subset > in > element > relation_empty_yielding > relation > ordinal > one_to_one > function > epsilon_transitive > epsilon_connected > empty > being_limit_ordinal > set_union2 > #nlpp > succ > singleton > powerset > empty_set > #skF_11 > #skF_15 > #skF_1 > #skF_7 > #skF_10 > #skF_16 > #skF_5 > #skF_6 > #skF_13 > #skF_2 > #skF_3 > #skF_9 > #skF_8 > #skF_4 > #skF_14 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff(relation,type,
relation: $i > $o ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff('#skF_1',type,
'#skF_1': $i > $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_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(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $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('#skF_8',type,
'#skF_8': $i ).
tff(being_limit_ordinal,type,
being_limit_ordinal: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_14',type,
'#skF_14': $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(succ,type,
succ: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_313,negated_conjecture,
~ ! [A] :
( ordinal(A)
=> ( ~ ( ~ being_limit_ordinal(A)
& ! [B] :
( ordinal(B)
=> ( A != succ(B) ) ) )
& ~ ( ? [B] :
( ordinal(B)
& ( A = succ(B) ) )
& being_limit_ordinal(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_ordinal1) ).
tff(f_292,axiom,
! [A] :
( ordinal(A)
=> ( being_limit_ordinal(A)
<=> ! [B] :
( ordinal(B)
=> ( in(B,A)
=> in(succ(B),A) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_ordinal1) ).
tff(f_146,axiom,
! [A] :
( ordinal(A)
=> ( ~ empty(succ(A))
& epsilon_transitive(succ(A))
& epsilon_connected(succ(A))
& ordinal(succ(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_ordinal1) ).
tff(f_277,axiom,
! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ( in(A,B)
<=> ordinal_subset(succ(A),B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_ordinal1) ).
tff(f_237,axiom,
! [A,B] :
( ( ordinal(A)
& ordinal(B) )
=> ( ordinal_subset(A,B)
<=> subset(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
tff(f_95,axiom,
! [A,B] :
( proper_subset(A,B)
<=> ( subset(A,B)
& ( A != B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
tff(f_262,axiom,
! [A] :
( epsilon_transitive(A)
=> ! [B] :
( ordinal(B)
=> ( proper_subset(A,B)
=> in(A,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_ordinal1) ).
tff(f_247,axiom,
! [A] : in(A,succ(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
tff(f_31,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
tff(c_202,plain,
ordinal('#skF_15'),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_210,plain,
( ~ being_limit_ordinal('#skF_15')
| ( succ('#skF_16') = '#skF_15' ) ),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_232,plain,
~ being_limit_ordinal('#skF_15'),
inference(splitLeft,[status(thm)],[c_210]) ).
tff(c_200,plain,
! [A_52] :
( ordinal('#skF_14'(A_52))
| being_limit_ordinal(A_52)
| ~ ordinal(A_52) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_198,plain,
! [A_52] :
( in('#skF_14'(A_52),A_52)
| being_limit_ordinal(A_52)
| ~ ordinal(A_52) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_88,plain,
! [A_25] :
( epsilon_transitive(succ(A_25))
| ~ ordinal(A_25) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_84,plain,
! [A_25] :
( ordinal(succ(A_25))
| ~ ordinal(A_25) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_188,plain,
! [A_47,B_49] :
( ordinal_subset(succ(A_47),B_49)
| ~ in(A_47,B_49)
| ~ ordinal(B_49)
| ~ ordinal(A_47) ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_554564,plain,
! [A_3411,B_3412] :
( subset(A_3411,B_3412)
| ~ ordinal_subset(A_3411,B_3412)
| ~ ordinal(B_3412)
| ~ ordinal(A_3411) ),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_34,plain,
! [A_16,B_17] :
( proper_subset(A_16,B_17)
| ( B_17 = A_16 )
| ~ subset(A_16,B_17) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_555350,plain,
! [A_3468,B_3469] :
( proper_subset(A_3468,B_3469)
| ( B_3469 = A_3468 )
| ~ ordinal_subset(A_3468,B_3469)
| ~ ordinal(B_3469)
| ~ ordinal(A_3468) ),
inference(resolution,[status(thm)],[c_554564,c_34]) ).
tff(c_182,plain,
! [A_42,B_44] :
( in(A_42,B_44)
| ~ proper_subset(A_42,B_44)
| ~ ordinal(B_44)
| ~ epsilon_transitive(A_42) ),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_557469,plain,
! [A_3556,B_3557] :
( in(A_3556,B_3557)
| ~ epsilon_transitive(A_3556)
| ( B_3557 = A_3556 )
| ~ ordinal_subset(A_3556,B_3557)
| ~ ordinal(B_3557)
| ~ ordinal(A_3556) ),
inference(resolution,[status(thm)],[c_555350,c_182]) ).
tff(c_585733,plain,
! [A_4091,B_4092] :
( in(succ(A_4091),B_4092)
| ~ epsilon_transitive(succ(A_4091))
| ( succ(A_4091) = B_4092 )
| ~ ordinal(succ(A_4091))
| ~ in(A_4091,B_4092)
| ~ ordinal(B_4092)
| ~ ordinal(A_4091) ),
inference(resolution,[status(thm)],[c_188,c_557469]) ).
tff(c_196,plain,
! [A_52] :
( ~ in(succ('#skF_14'(A_52)),A_52)
| being_limit_ordinal(A_52)
| ~ ordinal(A_52) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_715274,plain,
! [B_5045] :
( being_limit_ordinal(B_5045)
| ~ epsilon_transitive(succ('#skF_14'(B_5045)))
| ( succ('#skF_14'(B_5045)) = B_5045 )
| ~ ordinal(succ('#skF_14'(B_5045)))
| ~ in('#skF_14'(B_5045),B_5045)
| ~ ordinal(B_5045)
| ~ ordinal('#skF_14'(B_5045)) ),
inference(resolution,[status(thm)],[c_585733,c_196]) ).
tff(c_1109870,plain,
! [B_6588] :
( being_limit_ordinal(B_6588)
| ~ epsilon_transitive(succ('#skF_14'(B_6588)))
| ( succ('#skF_14'(B_6588)) = B_6588 )
| ~ in('#skF_14'(B_6588),B_6588)
| ~ ordinal(B_6588)
| ~ ordinal('#skF_14'(B_6588)) ),
inference(resolution,[status(thm)],[c_84,c_715274]) ).
tff(c_1109889,plain,
! [B_6589] :
( being_limit_ordinal(B_6589)
| ( succ('#skF_14'(B_6589)) = B_6589 )
| ~ in('#skF_14'(B_6589),B_6589)
| ~ ordinal(B_6589)
| ~ ordinal('#skF_14'(B_6589)) ),
inference(resolution,[status(thm)],[c_88,c_1109870]) ).
tff(c_1110246,plain,
! [A_6590] :
( ( succ('#skF_14'(A_6590)) = A_6590 )
| ~ ordinal('#skF_14'(A_6590))
| being_limit_ordinal(A_6590)
| ~ ordinal(A_6590) ),
inference(resolution,[status(thm)],[c_198,c_1109889]) ).
tff(c_1110271,plain,
! [A_6591] :
( ( succ('#skF_14'(A_6591)) = A_6591 )
| being_limit_ordinal(A_6591)
| ~ ordinal(A_6591) ),
inference(resolution,[status(thm)],[c_200,c_1110246]) ).
tff(c_554189,plain,
! [A_3358] :
( ordinal('#skF_14'(A_3358))
| being_limit_ordinal(A_3358)
| ~ ordinal(A_3358) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_208,plain,
! [B_58] :
( ( succ(B_58) != '#skF_15' )
| ~ ordinal(B_58)
| ( succ('#skF_16') = '#skF_15' ) ),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_553622,plain,
! [B_58] :
( ( succ(B_58) != '#skF_15' )
| ~ ordinal(B_58) ),
inference(splitLeft,[status(thm)],[c_208]) ).
tff(c_554200,plain,
! [A_3358] :
( ( succ('#skF_14'(A_3358)) != '#skF_15' )
| being_limit_ordinal(A_3358)
| ~ ordinal(A_3358) ),
inference(resolution,[status(thm)],[c_554189,c_553622]) ).
tff(c_1111266,plain,
! [A_6592] :
( ( A_6592 != '#skF_15' )
| being_limit_ordinal(A_6592)
| ~ ordinal(A_6592)
| being_limit_ordinal(A_6592)
| ~ ordinal(A_6592) ),
inference(superposition,[status(thm),theory(equality)],[c_1110271,c_554200]) ).
tff(c_1111298,plain,
( being_limit_ordinal('#skF_15')
| ~ ordinal('#skF_15') ),
inference(resolution,[status(thm)],[c_202,c_1111266]) ).
tff(c_1111342,plain,
being_limit_ordinal('#skF_15'),
inference(demodulation,[status(thm),theory(equality)],[c_202,c_1111298]) ).
tff(c_1111344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232,c_1111342]) ).
tff(c_1111345,plain,
succ('#skF_16') = '#skF_15',
inference(splitRight,[status(thm)],[c_208]) ).
tff(c_1114,plain,
! [A_161,B_162] :
( subset(A_161,B_162)
| ~ ordinal_subset(A_161,B_162)
| ~ ordinal(B_162)
| ~ ordinal(A_161) ),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_1950,plain,
! [A_230,B_231] :
( proper_subset(A_230,B_231)
| ( B_231 = A_230 )
| ~ ordinal_subset(A_230,B_231)
| ~ ordinal(B_231)
| ~ ordinal(A_230) ),
inference(resolution,[status(thm)],[c_1114,c_34]) ).
tff(c_4266,plain,
! [A_330,B_331] :
( in(A_330,B_331)
| ~ epsilon_transitive(A_330)
| ( B_331 = A_330 )
| ~ ordinal_subset(A_330,B_331)
| ~ ordinal(B_331)
| ~ ordinal(A_330) ),
inference(resolution,[status(thm)],[c_1950,c_182]) ).
tff(c_30354,plain,
! [A_842,B_843] :
( in(succ(A_842),B_843)
| ~ epsilon_transitive(succ(A_842))
| ( succ(A_842) = B_843 )
| ~ ordinal(succ(A_842))
| ~ in(A_842,B_843)
| ~ ordinal(B_843)
| ~ ordinal(A_842) ),
inference(resolution,[status(thm)],[c_188,c_4266]) ).
tff(c_151622,plain,
! [B_1737] :
( being_limit_ordinal(B_1737)
| ~ epsilon_transitive(succ('#skF_14'(B_1737)))
| ( succ('#skF_14'(B_1737)) = B_1737 )
| ~ ordinal(succ('#skF_14'(B_1737)))
| ~ in('#skF_14'(B_1737),B_1737)
| ~ ordinal(B_1737)
| ~ ordinal('#skF_14'(B_1737)) ),
inference(resolution,[status(thm)],[c_30354,c_196]) ).
tff(c_552165,plain,
! [B_3303] :
( being_limit_ordinal(B_3303)
| ~ epsilon_transitive(succ('#skF_14'(B_3303)))
| ( succ('#skF_14'(B_3303)) = B_3303 )
| ~ in('#skF_14'(B_3303),B_3303)
| ~ ordinal(B_3303)
| ~ ordinal('#skF_14'(B_3303)) ),
inference(resolution,[status(thm)],[c_84,c_151622]) ).
tff(c_552184,plain,
! [B_3304] :
( being_limit_ordinal(B_3304)
| ( succ('#skF_14'(B_3304)) = B_3304 )
| ~ in('#skF_14'(B_3304),B_3304)
| ~ ordinal(B_3304)
| ~ ordinal('#skF_14'(B_3304)) ),
inference(resolution,[status(thm)],[c_88,c_552165]) ).
tff(c_552541,plain,
! [A_3305] :
( ( succ('#skF_14'(A_3305)) = A_3305 )
| ~ ordinal('#skF_14'(A_3305))
| being_limit_ordinal(A_3305)
| ~ ordinal(A_3305) ),
inference(resolution,[status(thm)],[c_198,c_552184]) ).
tff(c_552566,plain,
! [A_3306] :
( ( succ('#skF_14'(A_3306)) = A_3306 )
| being_limit_ordinal(A_3306)
| ~ ordinal(A_3306) ),
inference(resolution,[status(thm)],[c_200,c_552541]) ).
tff(c_799,plain,
! [A_123] :
( ordinal('#skF_14'(A_123))
| being_limit_ordinal(A_123)
| ~ ordinal(A_123) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_212,plain,
! [B_58] :
( ( succ(B_58) != '#skF_15' )
| ~ ordinal(B_58)
| ordinal('#skF_16') ),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_233,plain,
! [B_58] :
( ( succ(B_58) != '#skF_15' )
| ~ ordinal(B_58) ),
inference(splitLeft,[status(thm)],[c_212]) ).
tff(c_809,plain,
! [A_123] :
( ( succ('#skF_14'(A_123)) != '#skF_15' )
| being_limit_ordinal(A_123)
| ~ ordinal(A_123) ),
inference(resolution,[status(thm)],[c_799,c_233]) ).
tff(c_553546,plain,
! [A_3307] :
( ( A_3307 != '#skF_15' )
| being_limit_ordinal(A_3307)
| ~ ordinal(A_3307)
| being_limit_ordinal(A_3307)
| ~ ordinal(A_3307) ),
inference(superposition,[status(thm),theory(equality)],[c_552566,c_809]) ).
tff(c_553576,plain,
( being_limit_ordinal('#skF_15')
| ~ ordinal('#skF_15') ),
inference(resolution,[status(thm)],[c_202,c_553546]) ).
tff(c_553617,plain,
being_limit_ordinal('#skF_15'),
inference(demodulation,[status(thm),theory(equality)],[c_202,c_553576]) ).
tff(c_553619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232,c_553617]) ).
tff(c_553620,plain,
ordinal('#skF_16'),
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_204,plain,
! [B_58] :
( ( succ(B_58) != '#skF_15' )
| ~ ordinal(B_58)
| being_limit_ordinal('#skF_15') ),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_1111439,plain,
! [B_6605] :
( ( succ(B_6605) != '#skF_15' )
| ~ ordinal(B_6605) ),
inference(splitLeft,[status(thm)],[c_204]) ).
tff(c_1111445,plain,
succ('#skF_16') != '#skF_15',
inference(resolution,[status(thm)],[c_553620,c_1111439]) ).
tff(c_1111465,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1111345,c_1111445]) ).
tff(c_1111466,plain,
being_limit_ordinal('#skF_15'),
inference(splitRight,[status(thm)],[c_204]) ).
tff(c_1111467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_232,c_1111466]) ).
tff(c_1111469,plain,
being_limit_ordinal('#skF_15'),
inference(splitRight,[status(thm)],[c_210]) ).
tff(c_214,plain,
( ~ being_limit_ordinal('#skF_15')
| ordinal('#skF_16') ),
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_231,plain,
~ being_limit_ordinal('#skF_15'),
inference(splitLeft,[status(thm)],[c_214]) ).
tff(c_1111474,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1111469,c_231]) ).
tff(c_1111476,plain,
being_limit_ordinal('#skF_15'),
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_1111477,plain,
~ being_limit_ordinal('#skF_15'),
inference(splitLeft,[status(thm)],[c_210]) ).
tff(c_1111482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1111476,c_1111477]) ).
tff(c_1111484,plain,
being_limit_ordinal('#skF_15'),
inference(splitRight,[status(thm)],[c_210]) ).
tff(c_1111483,plain,
succ('#skF_16') = '#skF_15',
inference(splitRight,[status(thm)],[c_210]) ).
tff(c_1111475,plain,
ordinal('#skF_16'),
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_176,plain,
! [A_38] : in(A_38,succ(A_38)),
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_194,plain,
! [B_55,A_52] :
( in(succ(B_55),A_52)
| ~ in(B_55,A_52)
| ~ ordinal(B_55)
| ~ being_limit_ordinal(A_52)
| ~ ordinal(A_52) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_1112837,plain,
! [B_6737,A_6738] :
( in(succ(B_6737),A_6738)
| ~ in(B_6737,A_6738)
| ~ ordinal(B_6737)
| ~ being_limit_ordinal(A_6738)
| ~ ordinal(A_6738) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_1111851,plain,
! [B_6636,A_6637] :
( ~ in(B_6636,A_6637)
| ~ in(A_6637,B_6636) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_1111857,plain,
! [A_38] : ~ in(succ(A_38),A_38),
inference(resolution,[status(thm)],[c_176,c_1111851]) ).
tff(c_1112896,plain,
! [A_6739] :
( ~ in(A_6739,A_6739)
| ~ being_limit_ordinal(A_6739)
| ~ ordinal(A_6739) ),
inference(resolution,[status(thm)],[c_1112837,c_1111857]) ).
tff(c_1112900,plain,
! [B_55] :
( ~ in(B_55,succ(B_55))
| ~ ordinal(B_55)
| ~ being_limit_ordinal(succ(B_55))
| ~ ordinal(succ(B_55)) ),
inference(resolution,[status(thm)],[c_194,c_1112896]) ).
tff(c_1112909,plain,
! [B_6740] :
( ~ ordinal(B_6740)
| ~ being_limit_ordinal(succ(B_6740))
| ~ ordinal(succ(B_6740)) ),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_1112900]) ).
tff(c_1112924,plain,
( ~ ordinal('#skF_16')
| ~ being_limit_ordinal(succ('#skF_16'))
| ~ ordinal('#skF_15') ),
inference(superposition,[status(thm),theory(equality)],[c_1111483,c_1112909]) ).
tff(c_1112932,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_202,c_1111484,c_1111483,c_1111475,c_1112924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 11:46:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 274.36/231.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 274.36/231.51
% 274.36/231.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 274.49/231.54
% 274.49/231.54 Inference rules
% 274.49/231.54 ----------------------
% 274.49/231.54 #Ref : 0
% 274.49/231.54 #Sup : 220797
% 274.49/231.54 #Fact : 152
% 274.49/231.54 #Define : 0
% 274.49/231.54 #Split : 336
% 274.49/231.54 #Chain : 0
% 274.49/231.54 #Close : 0
% 274.49/231.54
% 274.49/231.54 Ordering : KBO
% 274.49/231.54
% 274.49/231.54 Simplification rules
% 274.49/231.54 ----------------------
% 274.49/231.54 #Subsume : 146850
% 274.49/231.54 #Demod : 197597
% 274.49/231.54 #Tautology : 24597
% 274.49/231.54 #SimpNegUnit : 43319
% 274.49/231.54 #BackRed : 1245
% 274.49/231.54
% 274.49/231.54 #Partial instantiations: 0
% 274.49/231.54 #Strategies tried : 1
% 274.49/231.54
% 274.49/231.54 Timing (in seconds)
% 274.49/231.54 ----------------------
% 274.49/231.55 Preprocessing : 0.61
% 274.49/231.55 Parsing : 0.32
% 274.49/231.55 CNF conversion : 0.05
% 274.49/231.55 Main loop : 229.84
% 274.49/231.55 Inferencing : 24.81
% 274.49/231.55 Reduction : 83.28
% 274.49/231.55 Demodulation : 60.12
% 274.49/231.55 BG Simplification : 0.70
% 274.49/231.55 Subsumption : 109.93
% 274.49/231.55 Abstraction : 2.99
% 274.49/231.55 MUC search : 0.00
% 274.49/231.55 Cooper : 0.00
% 274.49/231.55 Total : 230.52
% 274.49/231.55 Index Insertion : 0.00
% 274.49/231.55 Index Deletion : 0.00
% 274.49/231.55 Index Matching : 0.00
% 274.49/231.55 BG Taut test : 0.00
%------------------------------------------------------------------------------