TSTP Solution File: SEU297+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU297+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 : n009.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 10:58:19 EDT 2023
% Result : Theorem 19.34s 7.56s
% Output : CNFRefutation 19.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 42
% Syntax : Number of formulae : 185 ( 41 unt; 40 typ; 0 def)
% Number of atoms : 528 ( 149 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 658 ( 275 ~; 367 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 25 >; 14 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 15 con; 0-4 aty)
% Number of variables : 150 (; 147 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > element > relation > ordinal > one_to_one > natural > function > finite > epsilon_transitive > epsilon_connected > empty > relation_image > #nlpp > relation_dom > powerset > #skF_9 > #skF_24 > #skF_5 > #skF_20 > #skF_4 > #skF_18 > #skF_11 > #skF_15 > #skF_22 > #skF_19 > #skF_7 > #skF_10 > #skF_16 > #skF_14 > #skF_23 > #skF_26 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_21 > #skF_8 > #skF_17 > #skF_25 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_15',type,
'#skF_15': $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('#skF_22',type,
'#skF_22': ( $i * $i * $i ) > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_7',type,
'#skF_7': $i ).
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('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(relation_image,type,
relation_image: ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(natural,type,
natural: $i > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_41,negated_conjecture,
~ ! [A,B,C] :
( ( element(B,powerset(powerset(A)))
& relation(C)
& function(C) )
=> ? [D] :
! [E] :
( in(E,D)
<=> ( in(E,powerset(relation_dom(C)))
& in(relation_image(C,E),B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_27__finset_1) ).
tff(f_295,axiom,
! [A,B,C] :
( ( element(B,powerset(powerset(A)))
& relation(C)
& function(C) )
=> ( ! [D,E,F] :
( ( ( D = E )
& in(relation_image(C,E),B)
& ( D = F )
& in(relation_image(C,F),B) )
=> ( E = F ) )
=> ? [D] :
! [E] :
( in(E,D)
<=> ? [F] :
( in(F,powerset(relation_dom(C)))
& ( F = E )
& in(relation_image(C,E),B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_27__finset_1__1) ).
tff(c_6,plain,
element('#skF_2',powerset(powerset('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_4,plain,
relation('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_2,plain,
function('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_18,plain,
! [D_4] :
( in('#skF_4'(D_4),powerset(relation_dom('#skF_3')))
| in('#skF_5'(D_4),D_4) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_16,plain,
! [D_4] :
( in(relation_image('#skF_3','#skF_4'(D_4)),'#skF_2')
| in('#skF_5'(D_4),D_4) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_1015,plain,
! [A_205,B_206,C_207,F_208] :
( ( '#skF_24'(A_205,B_206,C_207) != '#skF_23'(A_205,B_206,C_207) )
| in(F_208,'#skF_25'(A_205,B_206,C_207))
| ~ in(relation_image(C_207,F_208),B_206)
| ~ in(F_208,powerset(relation_dom(C_207)))
| ~ function(C_207)
| ~ relation(C_207)
| ~ element(B_206,powerset(powerset(A_205))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_1025,plain,
! [A_205,D_4] :
( ( '#skF_24'(A_205,'#skF_2','#skF_3') != '#skF_23'(A_205,'#skF_2','#skF_3') )
| in('#skF_4'(D_4),'#skF_25'(A_205,'#skF_2','#skF_3'))
| ~ in('#skF_4'(D_4),powerset(relation_dom('#skF_3')))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset(A_205)))
| in('#skF_5'(D_4),D_4) ),
inference(resolution,[status(thm)],[c_16,c_1015]) ).
tff(c_1035,plain,
! [A_209,D_210] :
( ( '#skF_24'(A_209,'#skF_2','#skF_3') != '#skF_23'(A_209,'#skF_2','#skF_3') )
| in('#skF_4'(D_210),'#skF_25'(A_209,'#skF_2','#skF_3'))
| ~ in('#skF_4'(D_210),powerset(relation_dom('#skF_3')))
| ~ element('#skF_2',powerset(powerset(A_209)))
| in('#skF_5'(D_210),D_210) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_1025]) ).
tff(c_1039,plain,
! [A_211,D_212] :
( ( '#skF_24'(A_211,'#skF_2','#skF_3') != '#skF_23'(A_211,'#skF_2','#skF_3') )
| in('#skF_4'(D_212),'#skF_25'(A_211,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_211)))
| in('#skF_5'(D_212),D_212) ),
inference(resolution,[status(thm)],[c_18,c_1035]) ).
tff(c_194,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_24'(A_35,B_36,C_37) != '#skF_23'(A_35,B_36,C_37) )
| ( '#skF_26'(A_35,B_36,C_37,E_57) = E_57 )
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_1047,plain,
! [A_211,D_212] :
( ( '#skF_26'(A_211,'#skF_2','#skF_3','#skF_4'(D_212)) = '#skF_4'(D_212) )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ( '#skF_24'(A_211,'#skF_2','#skF_3') != '#skF_23'(A_211,'#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset(A_211)))
| in('#skF_5'(D_212),D_212) ),
inference(resolution,[status(thm)],[c_1039,c_194]) ).
tff(c_1201,plain,
! [A_220,D_221] :
( ( '#skF_26'(A_220,'#skF_2','#skF_3','#skF_4'(D_221)) = '#skF_4'(D_221) )
| ( '#skF_24'(A_220,'#skF_2','#skF_3') != '#skF_23'(A_220,'#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset(A_220)))
| in('#skF_5'(D_221),D_221) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_1047]) ).
tff(c_1204,plain,
! [D_221] :
( ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'(D_221)) = '#skF_4'(D_221) )
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'(D_221),D_221) ),
inference(resolution,[status(thm)],[c_6,c_1201]) ).
tff(c_1205,plain,
'#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(splitLeft,[status(thm)],[c_1204]) ).
tff(c_1647,plain,
! [A_249,B_250,C_251,F_252] :
( ( '#skF_22'(A_249,B_250,C_251) = '#skF_23'(A_249,B_250,C_251) )
| in(F_252,'#skF_25'(A_249,B_250,C_251))
| ~ in(relation_image(C_251,F_252),B_250)
| ~ in(F_252,powerset(relation_dom(C_251)))
| ~ function(C_251)
| ~ relation(C_251)
| ~ element(B_250,powerset(powerset(A_249))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_1667,plain,
! [A_249,D_4] :
( ( '#skF_22'(A_249,'#skF_2','#skF_3') = '#skF_23'(A_249,'#skF_2','#skF_3') )
| in('#skF_4'(D_4),'#skF_25'(A_249,'#skF_2','#skF_3'))
| ~ in('#skF_4'(D_4),powerset(relation_dom('#skF_3')))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset(A_249)))
| in('#skF_5'(D_4),D_4) ),
inference(resolution,[status(thm)],[c_16,c_1647]) ).
tff(c_1690,plain,
! [A_257,D_258] :
( ( '#skF_22'(A_257,'#skF_2','#skF_3') = '#skF_23'(A_257,'#skF_2','#skF_3') )
| in('#skF_4'(D_258),'#skF_25'(A_257,'#skF_2','#skF_3'))
| ~ in('#skF_4'(D_258),powerset(relation_dom('#skF_3')))
| ~ element('#skF_2',powerset(powerset(A_257)))
| in('#skF_5'(D_258),D_258) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_1667]) ).
tff(c_1697,plain,
! [A_259,D_260] :
( ( '#skF_22'(A_259,'#skF_2','#skF_3') = '#skF_23'(A_259,'#skF_2','#skF_3') )
| in('#skF_4'(D_260),'#skF_25'(A_259,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_259)))
| in('#skF_5'(D_260),D_260) ),
inference(resolution,[status(thm)],[c_18,c_1690]) ).
tff(c_202,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_22'(A_35,B_36,C_37) = '#skF_23'(A_35,B_36,C_37) )
| ( '#skF_26'(A_35,B_36,C_37,E_57) = E_57 )
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_1707,plain,
! [A_259,D_260] :
( ( '#skF_26'(A_259,'#skF_2','#skF_3','#skF_4'(D_260)) = '#skF_4'(D_260) )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ( '#skF_22'(A_259,'#skF_2','#skF_3') = '#skF_23'(A_259,'#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset(A_259)))
| in('#skF_5'(D_260),D_260) ),
inference(resolution,[status(thm)],[c_1697,c_202]) ).
tff(c_1809,plain,
! [A_265,D_266] :
( ( '#skF_26'(A_265,'#skF_2','#skF_3','#skF_4'(D_266)) = '#skF_4'(D_266) )
| ( '#skF_22'(A_265,'#skF_2','#skF_3') = '#skF_23'(A_265,'#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset(A_265)))
| in('#skF_5'(D_266),D_266) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_1707]) ).
tff(c_1812,plain,
! [D_266] :
( ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'(D_266)) = '#skF_4'(D_266) )
| ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'(D_266),D_266) ),
inference(resolution,[status(thm)],[c_6,c_1809]) ).
tff(c_1813,plain,
'#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(splitLeft,[status(thm)],[c_1812]) ).
tff(c_2300,plain,
! [A_290,B_291,C_292,F_293] :
( ( '#skF_24'(A_290,B_291,C_292) = '#skF_22'(A_290,B_291,C_292) )
| in(F_293,'#skF_25'(A_290,B_291,C_292))
| ~ in(relation_image(C_292,F_293),B_291)
| ~ in(F_293,powerset(relation_dom(C_292)))
| ~ function(C_292)
| ~ relation(C_292)
| ~ element(B_291,powerset(powerset(A_290))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_2326,plain,
! [A_290,D_4] :
( ( '#skF_24'(A_290,'#skF_2','#skF_3') = '#skF_22'(A_290,'#skF_2','#skF_3') )
| in('#skF_4'(D_4),'#skF_25'(A_290,'#skF_2','#skF_3'))
| ~ in('#skF_4'(D_4),powerset(relation_dom('#skF_3')))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset(A_290)))
| in('#skF_5'(D_4),D_4) ),
inference(resolution,[status(thm)],[c_16,c_2300]) ).
tff(c_2356,plain,
! [A_298,D_299] :
( ( '#skF_24'(A_298,'#skF_2','#skF_3') = '#skF_22'(A_298,'#skF_2','#skF_3') )
| in('#skF_4'(D_299),'#skF_25'(A_298,'#skF_2','#skF_3'))
| ~ in('#skF_4'(D_299),powerset(relation_dom('#skF_3')))
| ~ element('#skF_2',powerset(powerset(A_298)))
| in('#skF_5'(D_299),D_299) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_2326]) ).
tff(c_2365,plain,
! [A_298,D_4] :
( ( '#skF_24'(A_298,'#skF_2','#skF_3') = '#skF_22'(A_298,'#skF_2','#skF_3') )
| in('#skF_4'(D_4),'#skF_25'(A_298,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_298)))
| in('#skF_5'(D_4),D_4) ),
inference(resolution,[status(thm)],[c_18,c_2356]) ).
tff(c_2366,plain,
! [A_300,D_301] :
( ( '#skF_24'(A_300,'#skF_2','#skF_3') = '#skF_22'(A_300,'#skF_2','#skF_3') )
| in('#skF_4'(D_301),'#skF_25'(A_300,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_300)))
| in('#skF_5'(D_301),D_301) ),
inference(resolution,[status(thm)],[c_18,c_2356]) ).
tff(c_198,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_24'(A_35,B_36,C_37) = '#skF_22'(A_35,B_36,C_37) )
| ( '#skF_26'(A_35,B_36,C_37,E_57) = E_57 )
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_2370,plain,
! [A_300,D_301] :
( ( '#skF_26'(A_300,'#skF_2','#skF_3','#skF_4'(D_301)) = '#skF_4'(D_301) )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ( '#skF_24'(A_300,'#skF_2','#skF_3') = '#skF_22'(A_300,'#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset(A_300)))
| in('#skF_5'(D_301),D_301) ),
inference(resolution,[status(thm)],[c_2366,c_198]) ).
tff(c_2478,plain,
! [A_306,D_307] :
( ( '#skF_26'(A_306,'#skF_2','#skF_3','#skF_4'(D_307)) = '#skF_4'(D_307) )
| ( '#skF_24'(A_306,'#skF_2','#skF_3') = '#skF_22'(A_306,'#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset(A_306)))
| in('#skF_5'(D_307),D_307) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_2370]) ).
tff(c_2480,plain,
! [D_307] :
( ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'(D_307)) = '#skF_4'(D_307) )
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_22'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'(D_307),D_307) ),
inference(resolution,[status(thm)],[c_6,c_2478]) ).
tff(c_2482,plain,
! [D_307] :
( ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'(D_307)) = '#skF_4'(D_307) )
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'(D_307),D_307) ),
inference(demodulation,[status(thm),theory(equality)],[c_1813,c_2480]) ).
tff(c_2484,plain,
! [D_308] :
( ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'(D_308)) = '#skF_4'(D_308) )
| in('#skF_5'(D_308),D_308) ),
inference(negUnitSimplification,[status(thm)],[c_1205,c_2482]) ).
tff(c_6154,plain,
! [A_637,B_638,C_639] :
( ( '#skF_24'(A_637,B_638,C_639) = '#skF_22'(A_637,B_638,C_639) )
| ( '#skF_26'(A_637,B_638,C_639,'#skF_5'('#skF_25'(A_637,B_638,C_639))) = '#skF_5'('#skF_25'(A_637,B_638,C_639)) )
| ~ function(C_639)
| ~ relation(C_639)
| ~ element(B_638,powerset(powerset(A_637)))
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'(A_637,B_638,C_639))) = '#skF_4'('#skF_25'(A_637,B_638,C_639)) ) ),
inference(resolution,[status(thm)],[c_2484,c_198]) ).
tff(c_6178,plain,
! [C_640] :
( ( '#skF_24'('#skF_1','#skF_2',C_640) = '#skF_22'('#skF_1','#skF_2',C_640) )
| ( '#skF_26'('#skF_1','#skF_2',C_640,'#skF_5'('#skF_25'('#skF_1','#skF_2',C_640))) = '#skF_5'('#skF_25'('#skF_1','#skF_2',C_640)) )
| ~ function(C_640)
| ~ relation(C_640)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_640))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_640)) ) ),
inference(resolution,[status(thm)],[c_6,c_6154]) ).
tff(c_208,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_24'(A_35,B_36,C_37) = '#skF_22'(A_35,B_36,C_37) )
| in('#skF_26'(A_35,B_36,C_37,E_57),powerset(relation_dom(C_37)))
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_6225,plain,
! [C_640] :
( ( '#skF_24'('#skF_1','#skF_2',C_640) = '#skF_22'('#skF_1','#skF_2',C_640) )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_640)),powerset(relation_dom(C_640)))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_640)),'#skF_25'('#skF_1','#skF_2',C_640))
| ~ function(C_640)
| ~ relation(C_640)
| ~ element('#skF_2',powerset(powerset('#skF_1')))
| ( '#skF_24'('#skF_1','#skF_2',C_640) = '#skF_22'('#skF_1','#skF_2',C_640) )
| ~ function(C_640)
| ~ relation(C_640)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_640))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_640)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_6178,c_208]) ).
tff(c_7840,plain,
! [C_674] :
( in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_674)),powerset(relation_dom(C_674)))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_674)),'#skF_25'('#skF_1','#skF_2',C_674))
| ( '#skF_24'('#skF_1','#skF_2',C_674) = '#skF_22'('#skF_1','#skF_2',C_674) )
| ~ function(C_674)
| ~ relation(C_674)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_674))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_674)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6225]) ).
tff(c_12,plain,
! [D_4] :
( in('#skF_4'(D_4),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'(D_4)),'#skF_2')
| ~ in('#skF_5'(D_4),powerset(relation_dom('#skF_3'))) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_7874,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_22'('#skF_1','#skF_2','#skF_3') )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(resolution,[status(thm)],[c_7840,c_12]) ).
tff(c_7923,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_1813,c_7874]) ).
tff(c_7924,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_1205,c_7923]) ).
tff(c_7931,plain,
~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_7924]) ).
tff(c_7992,plain,
! [A_680] :
( ( '#skF_24'(A_680,'#skF_2','#skF_3') = '#skF_22'(A_680,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_680,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_680))) ),
inference(resolution,[status(thm)],[c_2365,c_7931]) ).
tff(c_14,plain,
! [D_4] :
( ~ in('#skF_4'(D_4),D_4)
| in('#skF_5'(D_4),D_4) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_7977,plain,
~ in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_14,c_7931]) ).
tff(c_7995,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_22'('#skF_1','#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_7992,c_7977]) ).
tff(c_8062,plain,
'#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1813,c_7995]) ).
tff(c_8064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1205,c_8062]) ).
tff(c_8066,plain,
in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_7924]) ).
tff(c_8070,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_22'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')) )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_8066,c_198]) ).
tff(c_8094,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_1813,c_8070]) ).
tff(c_8095,plain,
'#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(negUnitSimplification,[status(thm)],[c_1205,c_8094]) ).
tff(c_8195,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_22'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(superposition,[status(thm),theory(equality)],[c_8095,c_208]) ).
tff(c_8252,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_8066,c_1813,c_8195]) ).
tff(c_8253,plain,
in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))),
inference(negUnitSimplification,[status(thm)],[c_1205,c_8252]) ).
tff(c_188,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_24'(A_35,B_36,C_37) = '#skF_22'(A_35,B_36,C_37) )
| in(relation_image(C_37,E_57),B_36)
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_8082,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_22'('#skF_1','#skF_2','#skF_3') )
| in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_8066,c_188]) ).
tff(c_8113,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_1813,c_8082]) ).
tff(c_8114,plain,
in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_1205,c_8113]) ).
tff(c_8291,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(resolution,[status(thm)],[c_8253,c_12]) ).
tff(c_8329,plain,
in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))),
inference(demodulation,[status(thm),theory(equality)],[c_8114,c_8291]) ).
tff(c_10,plain,
! [D_4] :
( in(relation_image('#skF_3','#skF_4'(D_4)),'#skF_2')
| ~ in(relation_image('#skF_3','#skF_5'(D_4)),'#skF_2')
| ~ in('#skF_5'(D_4),powerset(relation_dom('#skF_3'))) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_8296,plain,
( in(relation_image('#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(resolution,[status(thm)],[c_8253,c_10]) ).
tff(c_8333,plain,
in(relation_image('#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_8114,c_8296]) ).
tff(c_218,plain,
! [A_35,B_36,C_37,F_60] :
( ( '#skF_24'(A_35,B_36,C_37) = '#skF_22'(A_35,B_36,C_37) )
| in(F_60,'#skF_25'(A_35,B_36,C_37))
| ~ in(relation_image(C_37,F_60),B_36)
| ~ in(F_60,powerset(relation_dom(C_37)))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_8338,plain,
! [A_35] :
( ( '#skF_24'(A_35,'#skF_2','#skF_3') = '#skF_22'(A_35,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_35,'#skF_2','#skF_3'))
| ~ in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset(A_35))) ),
inference(resolution,[status(thm)],[c_8333,c_218]) ).
tff(c_8592,plain,
! [A_697] :
( ( '#skF_24'(A_697,'#skF_2','#skF_3') = '#skF_22'(A_697,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_697,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_697))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_8329,c_8338]) ).
tff(c_8,plain,
! [D_4] :
( ~ in('#skF_4'(D_4),D_4)
| ~ in(relation_image('#skF_3','#skF_5'(D_4)),'#skF_2')
| ~ in('#skF_5'(D_4),powerset(relation_dom('#skF_3'))) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_8656,plain,
( ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_22'('#skF_1','#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_8592,c_8]) ).
tff(c_8734,plain,
'#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1813,c_8253,c_8114,c_8656]) ).
tff(c_8736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1205,c_8734]) ).
tff(c_8738,plain,
'#skF_22'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_1812]) ).
tff(c_1696,plain,
! [A_257,D_4] :
( ( '#skF_22'(A_257,'#skF_2','#skF_3') = '#skF_23'(A_257,'#skF_2','#skF_3') )
| in('#skF_4'(D_4),'#skF_25'(A_257,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_257)))
| in('#skF_5'(D_4),D_4) ),
inference(resolution,[status(thm)],[c_18,c_1690]) ).
tff(c_8780,plain,
! [D_702] :
( ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'(D_702)) = '#skF_4'(D_702) )
| in('#skF_5'(D_702),D_702) ),
inference(splitRight,[status(thm)],[c_1812]) ).
tff(c_12874,plain,
! [A_1034,B_1035,C_1036] :
( ( '#skF_22'(A_1034,B_1035,C_1036) = '#skF_23'(A_1034,B_1035,C_1036) )
| ( '#skF_26'(A_1034,B_1035,C_1036,'#skF_5'('#skF_25'(A_1034,B_1035,C_1036))) = '#skF_5'('#skF_25'(A_1034,B_1035,C_1036)) )
| ~ function(C_1036)
| ~ relation(C_1036)
| ~ element(B_1035,powerset(powerset(A_1034)))
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'(A_1034,B_1035,C_1036))) = '#skF_4'('#skF_25'(A_1034,B_1035,C_1036)) ) ),
inference(resolution,[status(thm)],[c_8780,c_202]) ).
tff(c_12898,plain,
! [C_1037] :
( ( '#skF_22'('#skF_1','#skF_2',C_1037) = '#skF_23'('#skF_1','#skF_2',C_1037) )
| ( '#skF_26'('#skF_1','#skF_2',C_1037,'#skF_5'('#skF_25'('#skF_1','#skF_2',C_1037))) = '#skF_5'('#skF_25'('#skF_1','#skF_2',C_1037)) )
| ~ function(C_1037)
| ~ relation(C_1037)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_1037))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_1037)) ) ),
inference(resolution,[status(thm)],[c_6,c_12874]) ).
tff(c_212,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_22'(A_35,B_36,C_37) = '#skF_23'(A_35,B_36,C_37) )
| in('#skF_26'(A_35,B_36,C_37,E_57),powerset(relation_dom(C_37)))
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_12951,plain,
! [C_1037] :
( ( '#skF_22'('#skF_1','#skF_2',C_1037) = '#skF_23'('#skF_1','#skF_2',C_1037) )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1037)),powerset(relation_dom(C_1037)))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1037)),'#skF_25'('#skF_1','#skF_2',C_1037))
| ~ function(C_1037)
| ~ relation(C_1037)
| ~ element('#skF_2',powerset(powerset('#skF_1')))
| ( '#skF_22'('#skF_1','#skF_2',C_1037) = '#skF_23'('#skF_1','#skF_2',C_1037) )
| ~ function(C_1037)
| ~ relation(C_1037)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_1037))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_1037)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_12898,c_212]) ).
tff(c_14221,plain,
! [C_1074] :
( in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1074)),powerset(relation_dom(C_1074)))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1074)),'#skF_25'('#skF_1','#skF_2',C_1074))
| ( '#skF_22'('#skF_1','#skF_2',C_1074) = '#skF_23'('#skF_1','#skF_2',C_1074) )
| ~ function(C_1074)
| ~ relation(C_1074)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_1074))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_1074)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_12951]) ).
tff(c_14225,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(resolution,[status(thm)],[c_14221,c_12]) ).
tff(c_14234,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_14225]) ).
tff(c_14235,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_8738,c_14234]) ).
tff(c_14241,plain,
~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_14235]) ).
tff(c_14771,plain,
! [A_1092] :
( ( '#skF_22'(A_1092,'#skF_2','#skF_3') = '#skF_23'(A_1092,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_1092,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_1092))) ),
inference(resolution,[status(thm)],[c_1696,c_14241]) ).
tff(c_14288,plain,
~ in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_14,c_14241]) ).
tff(c_14774,plain,
( ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_14771,c_14288]) ).
tff(c_14841,plain,
'#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_14774]) ).
tff(c_14843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8738,c_14841]) ).
tff(c_14845,plain,
in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_14235]) ).
tff(c_14855,plain,
( ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')) )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_14845,c_202]) ).
tff(c_14882,plain,
( ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_14855]) ).
tff(c_14883,plain,
'#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(negUnitSimplification,[status(thm)],[c_8738,c_14882]) ).
tff(c_15168,plain,
( ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(superposition,[status(thm),theory(equality)],[c_14883,c_212]) ).
tff(c_15221,plain,
( ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_14845,c_15168]) ).
tff(c_15222,plain,
in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))),
inference(negUnitSimplification,[status(thm)],[c_8738,c_15221]) ).
tff(c_192,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_22'(A_35,B_36,C_37) = '#skF_23'(A_35,B_36,C_37) )
| in(relation_image(C_37,E_57),B_36)
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_14863,plain,
( ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_14845,c_192]) ).
tff(c_14895,plain,
( ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_14863]) ).
tff(c_14896,plain,
in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_8738,c_14895]) ).
tff(c_15235,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(resolution,[status(thm)],[c_15222,c_12]) ).
tff(c_15243,plain,
in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))),
inference(demodulation,[status(thm),theory(equality)],[c_14896,c_15235]) ).
tff(c_15240,plain,
( in(relation_image('#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(resolution,[status(thm)],[c_15222,c_10]) ).
tff(c_15247,plain,
in(relation_image('#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_14896,c_15240]) ).
tff(c_222,plain,
! [A_35,B_36,C_37,F_60] :
( ( '#skF_22'(A_35,B_36,C_37) = '#skF_23'(A_35,B_36,C_37) )
| in(F_60,'#skF_25'(A_35,B_36,C_37))
| ~ in(relation_image(C_37,F_60),B_36)
| ~ in(F_60,powerset(relation_dom(C_37)))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_15257,plain,
! [A_35] :
( ( '#skF_22'(A_35,'#skF_2','#skF_3') = '#skF_23'(A_35,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_35,'#skF_2','#skF_3'))
| ~ in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset(A_35))) ),
inference(resolution,[status(thm)],[c_15247,c_222]) ).
tff(c_16606,plain,
! [A_1140] :
( ( '#skF_22'(A_1140,'#skF_2','#skF_3') = '#skF_23'(A_1140,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_1140,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_1140))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_15243,c_15257]) ).
tff(c_16670,plain,
( ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ( '#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_16606,c_8]) ).
tff(c_16748,plain,
'#skF_22'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_15222,c_14896,c_16670]) ).
tff(c_16750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8738,c_16748]) ).
tff(c_16752,plain,
'#skF_24'('#skF_1','#skF_2','#skF_3') = '#skF_23'('#skF_1','#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_1204]) ).
tff(c_1038,plain,
! [A_209,D_4] :
( ( '#skF_24'(A_209,'#skF_2','#skF_3') != '#skF_23'(A_209,'#skF_2','#skF_3') )
| in('#skF_4'(D_4),'#skF_25'(A_209,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_209)))
| in('#skF_5'(D_4),D_4) ),
inference(resolution,[status(thm)],[c_18,c_1035]) ).
tff(c_16758,plain,
! [D_1141] :
( ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'(D_1141)) = '#skF_4'(D_1141) )
| in('#skF_5'(D_1141),D_1141) ),
inference(splitRight,[status(thm)],[c_1204]) ).
tff(c_21503,plain,
! [A_1504,B_1505,C_1506] :
( ( '#skF_24'(A_1504,B_1505,C_1506) != '#skF_23'(A_1504,B_1505,C_1506) )
| ( '#skF_26'(A_1504,B_1505,C_1506,'#skF_5'('#skF_25'(A_1504,B_1505,C_1506))) = '#skF_5'('#skF_25'(A_1504,B_1505,C_1506)) )
| ~ function(C_1506)
| ~ relation(C_1506)
| ~ element(B_1505,powerset(powerset(A_1504)))
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'(A_1504,B_1505,C_1506))) = '#skF_4'('#skF_25'(A_1504,B_1505,C_1506)) ) ),
inference(resolution,[status(thm)],[c_16758,c_194]) ).
tff(c_21527,plain,
! [C_1507] :
( ( '#skF_24'('#skF_1','#skF_2',C_1507) != '#skF_23'('#skF_1','#skF_2',C_1507) )
| ( '#skF_26'('#skF_1','#skF_2',C_1507,'#skF_5'('#skF_25'('#skF_1','#skF_2',C_1507))) = '#skF_5'('#skF_25'('#skF_1','#skF_2',C_1507)) )
| ~ function(C_1507)
| ~ relation(C_1507)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_1507))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_1507)) ) ),
inference(resolution,[status(thm)],[c_6,c_21503]) ).
tff(c_204,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_24'(A_35,B_36,C_37) != '#skF_23'(A_35,B_36,C_37) )
| in('#skF_26'(A_35,B_36,C_37,E_57),powerset(relation_dom(C_37)))
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_21582,plain,
! [C_1507] :
( ( '#skF_24'('#skF_1','#skF_2',C_1507) != '#skF_23'('#skF_1','#skF_2',C_1507) )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1507)),powerset(relation_dom(C_1507)))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1507)),'#skF_25'('#skF_1','#skF_2',C_1507))
| ~ function(C_1507)
| ~ relation(C_1507)
| ~ element('#skF_2',powerset(powerset('#skF_1')))
| ( '#skF_24'('#skF_1','#skF_2',C_1507) != '#skF_23'('#skF_1','#skF_2',C_1507) )
| ~ function(C_1507)
| ~ relation(C_1507)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_1507))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_1507)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_21527,c_204]) ).
tff(c_23699,plain,
! [C_1628] :
( in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1628)),powerset(relation_dom(C_1628)))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2',C_1628)),'#skF_25'('#skF_1','#skF_2',C_1628))
| ( '#skF_24'('#skF_1','#skF_2',C_1628) != '#skF_23'('#skF_1','#skF_2',C_1628) )
| ~ function(C_1628)
| ~ relation(C_1628)
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2',C_1628))) = '#skF_4'('#skF_25'('#skF_1','#skF_2',C_1628)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_21582]) ).
tff(c_23748,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(resolution,[status(thm)],[c_23699,c_12]) ).
tff(c_23802,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_16752,c_23748]) ).
tff(c_23807,plain,
~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_23802]) ).
tff(c_23932,plain,
! [A_1629] :
( ( '#skF_24'(A_1629,'#skF_2','#skF_3') != '#skF_23'(A_1629,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_1629,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_1629))) ),
inference(resolution,[status(thm)],[c_1038,c_23807]) ).
tff(c_23853,plain,
~ in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_14,c_23807]) ).
tff(c_23935,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_23932,c_23853]) ).
tff(c_24003,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_16752,c_23935]) ).
tff(c_24005,plain,
in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_23802]) ).
tff(c_24013,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')) )
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_24005,c_194]) ).
tff(c_24039,plain,
'#skF_26'('#skF_1','#skF_2','#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))) = '#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_16752,c_24013]) ).
tff(c_24244,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'('#skF_1','#skF_2','#skF_3'))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(superposition,[status(thm),theory(equality)],[c_24039,c_204]) ).
tff(c_24298,plain,
in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_24005,c_16752,c_24244]) ).
tff(c_184,plain,
! [A_35,B_36,C_37,E_57] :
( ( '#skF_24'(A_35,B_36,C_37) != '#skF_23'(A_35,B_36,C_37) )
| in(relation_image(C_37,E_57),B_36)
| ~ in(E_57,'#skF_25'(A_35,B_36,C_37))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_24019,plain,
( ( '#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3') )
| in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_24005,c_184]) ).
tff(c_24048,plain,
in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2,c_16752,c_24019]) ).
tff(c_24346,plain,
( in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(resolution,[status(thm)],[c_24298,c_12]) ).
tff(c_24399,plain,
in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3'))),
inference(demodulation,[status(thm),theory(equality)],[c_24048,c_24346]) ).
tff(c_24351,plain,
( in(relation_image('#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2') ),
inference(resolution,[status(thm)],[c_24298,c_10]) ).
tff(c_24403,plain,
in(relation_image('#skF_3','#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_24048,c_24351]) ).
tff(c_214,plain,
! [A_35,B_36,C_37,F_60] :
( ( '#skF_24'(A_35,B_36,C_37) != '#skF_23'(A_35,B_36,C_37) )
| in(F_60,'#skF_25'(A_35,B_36,C_37))
| ~ in(relation_image(C_37,F_60),B_36)
| ~ in(F_60,powerset(relation_dom(C_37)))
| ~ function(C_37)
| ~ relation(C_37)
| ~ element(B_36,powerset(powerset(A_35))) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_24416,plain,
! [A_35] :
( ( '#skF_24'(A_35,'#skF_2','#skF_3') != '#skF_23'(A_35,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_35,'#skF_2','#skF_3'))
| ~ in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ~ function('#skF_3')
| ~ relation('#skF_3')
| ~ element('#skF_2',powerset(powerset(A_35))) ),
inference(resolution,[status(thm)],[c_24403,c_214]) ).
tff(c_25503,plain,
! [A_1659] :
( ( '#skF_24'(A_1659,'#skF_2','#skF_3') != '#skF_23'(A_1659,'#skF_2','#skF_3') )
| in('#skF_4'('#skF_25'('#skF_1','#skF_2','#skF_3')),'#skF_25'(A_1659,'#skF_2','#skF_3'))
| ~ element('#skF_2',powerset(powerset(A_1659))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_24399,c_24416]) ).
tff(c_25567,plain,
( ~ in(relation_image('#skF_3','#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ in('#skF_5'('#skF_25'('#skF_1','#skF_2','#skF_3')),powerset(relation_dom('#skF_3')))
| ( '#skF_24'('#skF_1','#skF_2','#skF_3') != '#skF_23'('#skF_1','#skF_2','#skF_3') )
| ~ element('#skF_2',powerset(powerset('#skF_1'))) ),
inference(resolution,[status(thm)],[c_25503,c_8]) ).
tff(c_25635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_16752,c_24298,c_24048,c_25567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU297+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 11:26:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 19.34/7.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.48/7.58
% 19.48/7.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.48/7.62
% 19.48/7.62 Inference rules
% 19.48/7.62 ----------------------
% 19.48/7.62 #Ref : 0
% 19.48/7.62 #Sup : 5568
% 19.48/7.62 #Fact : 0
% 19.48/7.62 #Define : 0
% 19.48/7.62 #Split : 19
% 19.48/7.62 #Chain : 0
% 19.48/7.62 #Close : 0
% 19.48/7.62
% 19.48/7.62 Ordering : KBO
% 19.48/7.62
% 19.48/7.62 Simplification rules
% 19.48/7.62 ----------------------
% 19.48/7.62 #Subsume : 908
% 19.48/7.62 #Demod : 4703
% 19.48/7.62 #Tautology : 1029
% 19.48/7.62 #SimpNegUnit : 95
% 19.48/7.62 #BackRed : 2
% 19.48/7.62
% 19.48/7.62 #Partial instantiations: 0
% 19.48/7.62 #Strategies tried : 1
% 19.48/7.62
% 19.48/7.62 Timing (in seconds)
% 19.48/7.62 ----------------------
% 19.48/7.62 Preprocessing : 0.63
% 19.48/7.62 Parsing : 0.30
% 19.48/7.62 CNF conversion : 0.06
% 19.48/7.63 Main loop : 5.85
% 19.48/7.63 Inferencing : 1.86
% 19.48/7.63 Reduction : 1.95
% 19.48/7.63 Demodulation : 1.49
% 19.48/7.63 BG Simplification : 0.17
% 19.48/7.63 Subsumption : 1.48
% 19.48/7.63 Abstraction : 0.32
% 19.48/7.63 MUC search : 0.00
% 19.48/7.63 Cooper : 0.00
% 19.48/7.63 Total : 6.55
% 19.48/7.63 Index Insertion : 0.00
% 19.48/7.63 Index Deletion : 0.00
% 19.48/7.63 Index Matching : 0.00
% 19.48/7.63 BG Taut test : 0.00
%------------------------------------------------------------------------------