TSTP Solution File: SEU280+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:58:15 EDT 2023
% Result : Theorem 61.29s 46.60s
% Output : CNFRefutation 61.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 208 ( 70 unt; 13 typ; 0 def)
% Number of atoms : 457 ( 157 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 467 ( 205 ~; 251 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 11 >; 2 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 106 (; 103 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > ordinal > epsilon_transitive > epsilon_connected > #nlpp > #skF_7 > #skF_5 > #skF_2 > #skF_8 > #skF_1 > #skF_4 > #skF_3 > #skF_9 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(epsilon_transitive,type,
epsilon_transitive: $i > $o ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff(ordinal,type,
ordinal: $i > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(f_35,negated_conjecture,
~ ! [A] :
? [B] :
! [C] :
( in(C,B)
<=> ( in(C,A)
& ordinal(C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
tff(f_80,axiom,
! [A] :
( ! [B,C,D] :
( ( ( B = C )
& ordinal(C)
& ( B = D )
& ordinal(D) )
=> ( C = D ) )
=> ? [B] :
! [C] :
( in(C,B)
<=> ? [D] :
( in(D,A)
& ( D = C )
& ordinal(C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
tff(f_52,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
tff(c_12,plain,
! [B_4] :
( in('#skF_2'(B_4),'#skF_1')
| in('#skF_3'(B_4),B_4) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_187,plain,
! [A_53,C_54] :
( ( '#skF_5'(A_53) = '#skF_6'(A_53) )
| ordinal(C_54)
| ~ in(C_54,'#skF_8'(A_53)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_201,plain,
! [A_53] :
( ( '#skF_5'(A_53) = '#skF_6'(A_53) )
| ordinal('#skF_3'('#skF_8'(A_53)))
| in('#skF_2'('#skF_8'(A_53)),'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_187]) ).
tff(c_870,plain,
! [A_119,D_120] :
( ( '#skF_5'(A_119) = '#skF_6'(A_119) )
| in(D_120,'#skF_8'(A_119))
| ~ ordinal(D_120)
| ~ in(D_120,A_119) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_8,plain,
! [B_4] :
( ~ in('#skF_2'(B_4),B_4)
| in('#skF_3'(B_4),B_4) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_320403,plain,
! [A_1870] :
( in('#skF_3'('#skF_8'(A_1870)),'#skF_8'(A_1870))
| ( '#skF_5'(A_1870) = '#skF_6'(A_1870) )
| ~ ordinal('#skF_2'('#skF_8'(A_1870)))
| ~ in('#skF_2'('#skF_8'(A_1870)),A_1870) ),
inference(resolution,[status(thm)],[c_870,c_8]) ).
tff(c_36,plain,
! [A_10,C_30] :
( ( '#skF_5'(A_10) = '#skF_6'(A_10) )
| ordinal(C_30)
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_320500,plain,
! [A_1871] :
( ordinal('#skF_3'('#skF_8'(A_1871)))
| ( '#skF_5'(A_1871) = '#skF_6'(A_1871) )
| ~ ordinal('#skF_2'('#skF_8'(A_1871)))
| ~ in('#skF_2'('#skF_8'(A_1871)),A_1871) ),
inference(resolution,[status(thm)],[c_320403,c_36]) ).
tff(c_320588,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_201,c_320500]) ).
tff(c_320603,plain,
~ ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(splitLeft,[status(thm)],[c_320588]) ).
tff(c_46,plain,
! [A_10,C_30] :
( ( '#skF_5'(A_10) = '#skF_6'(A_10) )
| ( '#skF_9'(A_10,C_30) = C_30 )
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_1327,plain,
! [A_148,D_149] :
( ( '#skF_9'(A_148,D_149) = D_149 )
| ( '#skF_5'(A_148) = '#skF_6'(A_148) )
| ~ ordinal(D_149)
| ~ in(D_149,A_148) ),
inference(resolution,[status(thm)],[c_870,c_46]) ).
tff(c_1409,plain,
! [B_4] :
( ( '#skF_9'('#skF_1','#skF_2'(B_4)) = '#skF_2'(B_4) )
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ ordinal('#skF_2'(B_4))
| in('#skF_3'(B_4),B_4) ),
inference(resolution,[status(thm)],[c_12,c_1327]) ).
tff(c_5891,plain,
'#skF_5'('#skF_1') = '#skF_6'('#skF_1'),
inference(splitLeft,[status(thm)],[c_1409]) ).
tff(c_965,plain,
! [A_129,D_130] :
( ( '#skF_7'(A_129) = '#skF_5'(A_129) )
| in(D_130,'#skF_8'(A_129))
| ~ ordinal(D_130)
| ~ in(D_130,A_129) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_42,plain,
! [A_10,C_30] :
( ( '#skF_7'(A_10) = '#skF_5'(A_10) )
| ( '#skF_9'(A_10,C_30) = C_30 )
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_1534,plain,
! [A_161,D_162] :
( ( '#skF_9'(A_161,D_162) = D_162 )
| ( '#skF_7'(A_161) = '#skF_5'(A_161) )
| ~ ordinal(D_162)
| ~ in(D_162,A_161) ),
inference(resolution,[status(thm)],[c_965,c_42]) ).
tff(c_1616,plain,
! [B_4] :
( ( '#skF_9'('#skF_1','#skF_2'(B_4)) = '#skF_2'(B_4) )
| ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ~ ordinal('#skF_2'(B_4))
| in('#skF_3'(B_4),B_4) ),
inference(resolution,[status(thm)],[c_12,c_1534]) ).
tff(c_5879,plain,
'#skF_7'('#skF_1') = '#skF_5'('#skF_1'),
inference(splitLeft,[status(thm)],[c_1616]) ).
tff(c_1051,plain,
! [A_138,D_139] :
( ( '#skF_7'(A_138) != '#skF_6'(A_138) )
| in(D_139,'#skF_8'(A_138))
| ~ ordinal(D_139)
| ~ in(D_139,A_138) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_38,plain,
! [A_10,C_30] :
( ( '#skF_7'(A_10) != '#skF_6'(A_10) )
| ( '#skF_9'(A_10,C_30) = C_30 )
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_1241,plain,
! [A_144,D_145] :
( ( '#skF_9'(A_144,D_145) = D_145 )
| ( '#skF_7'(A_144) != '#skF_6'(A_144) )
| ~ ordinal(D_145)
| ~ in(D_145,A_144) ),
inference(resolution,[status(thm)],[c_1051,c_38]) ).
tff(c_1323,plain,
! [B_4] :
( ( '#skF_9'('#skF_1','#skF_2'(B_4)) = '#skF_2'(B_4) )
| ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| ~ ordinal('#skF_2'(B_4))
| in('#skF_3'(B_4),B_4) ),
inference(resolution,[status(thm)],[c_12,c_1241]) ).
tff(c_5359,plain,
'#skF_7'('#skF_1') != '#skF_6'('#skF_1'),
inference(splitLeft,[status(thm)],[c_1323]) ).
tff(c_5880,plain,
'#skF_5'('#skF_1') != '#skF_6'('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_5879,c_5359]) ).
tff(c_5980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5891,c_5880]) ).
tff(c_5982,plain,
'#skF_5'('#skF_1') != '#skF_6'('#skF_1'),
inference(splitRight,[status(thm)],[c_1409]) ).
tff(c_12137,plain,
! [A_275] :
( in('#skF_3'('#skF_8'(A_275)),'#skF_8'(A_275))
| ( '#skF_5'(A_275) = '#skF_6'(A_275) )
| ~ ordinal('#skF_2'('#skF_8'(A_275)))
| ~ in('#skF_2'('#skF_8'(A_275)),A_275) ),
inference(resolution,[status(thm)],[c_870,c_8]) ).
tff(c_12249,plain,
! [A_276] :
( ordinal('#skF_3'('#skF_8'(A_276)))
| ( '#skF_5'(A_276) = '#skF_6'(A_276) )
| ~ ordinal('#skF_2'('#skF_8'(A_276)))
| ~ in('#skF_2'('#skF_8'(A_276)),A_276) ),
inference(resolution,[status(thm)],[c_12137,c_36]) ).
tff(c_12287,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_201,c_12249]) ).
tff(c_12344,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_5982,c_5982,c_12287]) ).
tff(c_12364,plain,
~ ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(splitLeft,[status(thm)],[c_12344]) ).
tff(c_10,plain,
! [B_4] :
( ordinal('#skF_2'(B_4))
| in('#skF_3'(B_4),B_4) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_202,plain,
! [A_53] :
( ( '#skF_5'(A_53) = '#skF_6'(A_53) )
| ordinal('#skF_3'('#skF_8'(A_53)))
| ordinal('#skF_2'('#skF_8'(A_53))) ),
inference(resolution,[status(thm)],[c_10,c_187]) ).
tff(c_12388,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_202,c_12364]) ).
tff(c_12417,plain,
ordinal('#skF_3'('#skF_8'('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_5982,c_12388]) ).
tff(c_403,plain,
! [A_77,C_78] :
( ( '#skF_5'(A_77) = '#skF_6'(A_77) )
| ( '#skF_9'(A_77,C_78) = C_78 )
| ~ in(C_78,'#skF_8'(A_77)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_422,plain,
! [A_77] :
( ( '#skF_5'(A_77) = '#skF_6'(A_77) )
| ( '#skF_9'(A_77,'#skF_3'('#skF_8'(A_77))) = '#skF_3'('#skF_8'(A_77)) )
| ordinal('#skF_2'('#skF_8'(A_77))) ),
inference(resolution,[status(thm)],[c_10,c_403]) ).
tff(c_12373,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(resolution,[status(thm)],[c_422,c_12364]) ).
tff(c_12408,plain,
'#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_5982,c_12373]) ).
tff(c_1121,plain,
! [A_140,C_141] :
( ( '#skF_5'(A_140) = '#skF_6'(A_140) )
| in('#skF_9'(A_140,C_141),A_140)
| ~ in(C_141,'#skF_8'(A_140)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_22,plain,
! [B_8,A_7] :
( ~ in(B_8,A_7)
| ~ in(A_7,B_8) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_1180,plain,
! [A_140,C_141] :
( ~ in(A_140,'#skF_9'(A_140,C_141))
| ( '#skF_5'(A_140) = '#skF_6'(A_140) )
| ~ in(C_141,'#skF_8'(A_140)) ),
inference(resolution,[status(thm)],[c_1121,c_22]) ).
tff(c_12668,plain,
( ~ in('#skF_1','#skF_3'('#skF_8'('#skF_1')))
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_12408,c_1180]) ).
tff(c_12715,plain,
( ~ in('#skF_1','#skF_3'('#skF_8'('#skF_1')))
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_5982,c_12668]) ).
tff(c_12727,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(splitLeft,[status(thm)],[c_12715]) ).
tff(c_12769,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(resolution,[status(thm)],[c_10,c_12727]) ).
tff(c_12802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12364,c_12769]) ).
tff(c_12804,plain,
in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(splitRight,[status(thm)],[c_12715]) ).
tff(c_56,plain,
! [A_10,C_30] :
( ( '#skF_5'(A_10) = '#skF_6'(A_10) )
| in('#skF_9'(A_10,C_30),A_10)
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_12679,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_12408,c_56]) ).
tff(c_12719,plain,
( in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_5982,c_12679]) ).
tff(c_12985,plain,
in('#skF_3'('#skF_8'('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_12804,c_12719]) ).
tff(c_4,plain,
! [B_4] :
( ordinal('#skF_2'(B_4))
| ~ ordinal('#skF_3'(B_4))
| ~ in('#skF_3'(B_4),'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_13004,plain,
( ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_12985,c_4]) ).
tff(c_13028,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_12417,c_13004]) ).
tff(c_13030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12364,c_13028]) ).
tff(c_13032,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(splitRight,[status(thm)],[c_12344]) ).
tff(c_938,plain,
! [A_119] :
( in('#skF_3'('#skF_8'(A_119)),'#skF_8'(A_119))
| ( '#skF_5'(A_119) = '#skF_6'(A_119) )
| ~ ordinal('#skF_2'('#skF_8'(A_119)))
| ~ in('#skF_2'('#skF_8'(A_119)),A_119) ),
inference(resolution,[status(thm)],[c_870,c_8]) ).
tff(c_13031,plain,
ordinal('#skF_3'('#skF_8'('#skF_1'))),
inference(splitRight,[status(thm)],[c_12344]) ).
tff(c_6,plain,
! [B_4] :
( in('#skF_2'(B_4),'#skF_1')
| ~ ordinal('#skF_3'(B_4))
| ~ in('#skF_3'(B_4),'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_2,plain,
! [B_4] :
( ~ in('#skF_2'(B_4),B_4)
| ~ ordinal('#skF_3'(B_4))
| ~ in('#skF_3'(B_4),'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_63855,plain,
! [A_557] :
( ~ ordinal('#skF_3'('#skF_8'(A_557)))
| ~ in('#skF_3'('#skF_8'(A_557)),'#skF_1')
| ( '#skF_5'(A_557) = '#skF_6'(A_557) )
| ~ ordinal('#skF_2'('#skF_8'(A_557)))
| ~ in('#skF_2'('#skF_8'(A_557)),A_557) ),
inference(resolution,[status(thm)],[c_870,c_2]) ).
tff(c_63929,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ ordinal('#skF_3'('#skF_8'('#skF_1')))
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_63855]) ).
tff(c_63979,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_13031,c_13032,c_63929]) ).
tff(c_63980,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_5982,c_63979]) ).
tff(c_421,plain,
! [A_77] :
( ( '#skF_5'(A_77) = '#skF_6'(A_77) )
| ( '#skF_9'(A_77,'#skF_3'('#skF_8'(A_77))) = '#skF_3'('#skF_8'(A_77)) )
| in('#skF_2'('#skF_8'(A_77)),'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_403]) ).
tff(c_110746,plain,
! [A_773] :
( ( '#skF_9'(A_773,'#skF_3'('#skF_8'(A_773))) = '#skF_3'('#skF_8'(A_773)) )
| ( '#skF_5'(A_773) = '#skF_6'(A_773) )
| ~ ordinal('#skF_2'('#skF_8'(A_773)))
| ~ in('#skF_2'('#skF_8'(A_773)),A_773) ),
inference(resolution,[status(thm)],[c_12137,c_46]) ).
tff(c_110756,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(resolution,[status(thm)],[c_421,c_110746]) ).
tff(c_110825,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13032,c_110756]) ).
tff(c_110826,plain,
'#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_5982,c_110825]) ).
tff(c_110908,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_110826,c_56]) ).
tff(c_110953,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_63980,c_5982,c_110908]) ).
tff(c_110965,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_938,c_110953]) ).
tff(c_111007,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_13032,c_110965]) ).
tff(c_111008,plain,
~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_5982,c_111007]) ).
tff(c_111041,plain,
in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(resolution,[status(thm)],[c_12,c_110953]) ).
tff(c_111189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111008,c_111041]) ).
tff(c_111191,plain,
'#skF_7'('#skF_1') != '#skF_5'('#skF_1'),
inference(splitRight,[status(thm)],[c_1616]) ).
tff(c_116900,plain,
! [A_817] :
( in('#skF_3'('#skF_8'(A_817)),'#skF_8'(A_817))
| ( '#skF_5'(A_817) = '#skF_6'(A_817) )
| ~ ordinal('#skF_2'('#skF_8'(A_817)))
| ~ in('#skF_2'('#skF_8'(A_817)),A_817) ),
inference(resolution,[status(thm)],[c_870,c_8]) ).
tff(c_117012,plain,
! [A_818] :
( ordinal('#skF_3'('#skF_8'(A_818)))
| ( '#skF_5'(A_818) = '#skF_6'(A_818) )
| ~ ordinal('#skF_2'('#skF_8'(A_818)))
| ~ in('#skF_2'('#skF_8'(A_818)),A_818) ),
inference(resolution,[status(thm)],[c_116900,c_36]) ).
tff(c_117099,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_201,c_117012]) ).
tff(c_117113,plain,
~ ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(splitLeft,[status(thm)],[c_117099]) ).
tff(c_203,plain,
! [A_55,C_56] :
( ( '#skF_7'(A_55) = '#skF_5'(A_55) )
| ordinal(C_56)
| ~ in(C_56,'#skF_8'(A_55)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_218,plain,
! [A_55] :
( ( '#skF_7'(A_55) = '#skF_5'(A_55) )
| ordinal('#skF_3'('#skF_8'(A_55)))
| ordinal('#skF_2'('#skF_8'(A_55))) ),
inference(resolution,[status(thm)],[c_10,c_203]) ).
tff(c_117143,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_218,c_117113]) ).
tff(c_117166,plain,
ordinal('#skF_3'('#skF_8'('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_111191,c_117143]) ).
tff(c_521,plain,
! [A_88,C_89] :
( ( '#skF_7'(A_88) = '#skF_5'(A_88) )
| ( '#skF_9'(A_88,C_89) = C_89 )
| ~ in(C_89,'#skF_8'(A_88)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_549,plain,
! [A_88] :
( ( '#skF_7'(A_88) = '#skF_5'(A_88) )
| ( '#skF_9'(A_88,'#skF_3'('#skF_8'(A_88))) = '#skF_3'('#skF_8'(A_88)) )
| ordinal('#skF_2'('#skF_8'(A_88))) ),
inference(resolution,[status(thm)],[c_10,c_521]) ).
tff(c_117119,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(resolution,[status(thm)],[c_549,c_117113]) ).
tff(c_117155,plain,
'#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_111191,c_117119]) ).
tff(c_1181,plain,
! [A_142,C_143] :
( ( '#skF_7'(A_142) = '#skF_5'(A_142) )
| in('#skF_9'(A_142,C_143),A_142)
| ~ in(C_143,'#skF_8'(A_142)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_1240,plain,
! [A_142,C_143] :
( ~ in(A_142,'#skF_9'(A_142,C_143))
| ( '#skF_7'(A_142) = '#skF_5'(A_142) )
| ~ in(C_143,'#skF_8'(A_142)) ),
inference(resolution,[status(thm)],[c_1181,c_22]) ).
tff(c_117520,plain,
( ~ in('#skF_1','#skF_3'('#skF_8'('#skF_1')))
| ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_117155,c_1240]) ).
tff(c_117565,plain,
( ~ in('#skF_1','#skF_3'('#skF_8'('#skF_1')))
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_111191,c_117520]) ).
tff(c_117573,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(splitLeft,[status(thm)],[c_117565]) ).
tff(c_117612,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(resolution,[status(thm)],[c_10,c_117573]) ).
tff(c_117642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117113,c_117612]) ).
tff(c_117644,plain,
in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(splitRight,[status(thm)],[c_117565]) ).
tff(c_52,plain,
! [A_10,C_30] :
( ( '#skF_7'(A_10) = '#skF_5'(A_10) )
| in('#skF_9'(A_10,C_30),A_10)
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_117526,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_117155,c_52]) ).
tff(c_117566,plain,
( in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(negUnitSimplification,[status(thm)],[c_111191,c_117526]) ).
tff(c_117942,plain,
in('#skF_3'('#skF_8'('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_117644,c_117566]) ).
tff(c_117961,plain,
( ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_117942,c_4]) ).
tff(c_117985,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_117166,c_117961]) ).
tff(c_117987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117113,c_117985]) ).
tff(c_117989,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(splitRight,[status(thm)],[c_117099]) ).
tff(c_1033,plain,
! [A_129] :
( in('#skF_3'('#skF_8'(A_129)),'#skF_8'(A_129))
| ( '#skF_7'(A_129) = '#skF_5'(A_129) )
| ~ ordinal('#skF_2'('#skF_8'(A_129)))
| ~ in('#skF_2'('#skF_8'(A_129)),A_129) ),
inference(resolution,[status(thm)],[c_965,c_8]) ).
tff(c_117988,plain,
( ordinal('#skF_3'('#skF_8'('#skF_1')))
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') ) ),
inference(splitRight,[status(thm)],[c_117099]) ).
tff(c_117998,plain,
'#skF_5'('#skF_1') = '#skF_6'('#skF_1'),
inference(splitLeft,[status(thm)],[c_117988]) ).
tff(c_217,plain,
! [A_55] :
( ( '#skF_7'(A_55) = '#skF_5'(A_55) )
| ordinal('#skF_3'('#skF_8'(A_55)))
| in('#skF_2'('#skF_8'(A_55)),'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_203]) ).
tff(c_118550,plain,
! [A_829] :
( in('#skF_3'('#skF_8'(A_829)),'#skF_8'(A_829))
| ( '#skF_7'(A_829) = '#skF_5'(A_829) )
| ~ ordinal('#skF_2'('#skF_8'(A_829)))
| ~ in('#skF_2'('#skF_8'(A_829)),A_829) ),
inference(resolution,[status(thm)],[c_965,c_8]) ).
tff(c_32,plain,
! [A_10,C_30] :
( ( '#skF_7'(A_10) = '#skF_5'(A_10) )
| ordinal(C_30)
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_118667,plain,
! [A_830] :
( ordinal('#skF_3'('#skF_8'(A_830)))
| ( '#skF_7'(A_830) = '#skF_5'(A_830) )
| ~ ordinal('#skF_2'('#skF_8'(A_830)))
| ~ in('#skF_2'('#skF_8'(A_830)),A_830) ),
inference(resolution,[status(thm)],[c_118550,c_32]) ).
tff(c_118721,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_217,c_118667]) ).
tff(c_118777,plain,
( ( '#skF_7'('#skF_1') = '#skF_6'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_117998,c_117989,c_118721]) ).
tff(c_118778,plain,
ordinal('#skF_3'('#skF_8'('#skF_1'))),
inference(negUnitSimplification,[status(thm)],[c_5359,c_118777]) ).
tff(c_166254,plain,
! [A_1087] :
( ~ ordinal('#skF_3'('#skF_8'(A_1087)))
| ~ in('#skF_3'('#skF_8'(A_1087)),'#skF_1')
| ( '#skF_7'(A_1087) = '#skF_5'(A_1087) )
| ~ ordinal('#skF_2'('#skF_8'(A_1087)))
| ~ in('#skF_2'('#skF_8'(A_1087)),A_1087) ),
inference(resolution,[status(thm)],[c_965,c_2]) ).
tff(c_166328,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ ordinal('#skF_3'('#skF_8'('#skF_1')))
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_166254]) ).
tff(c_166378,plain,
( ( '#skF_7'('#skF_1') = '#skF_6'('#skF_1') )
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_118778,c_117989,c_117998,c_166328]) ).
tff(c_166379,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_5359,c_166378]) ).
tff(c_548,plain,
! [A_88] :
( ( '#skF_7'(A_88) = '#skF_5'(A_88) )
| ( '#skF_9'(A_88,'#skF_3'('#skF_8'(A_88))) = '#skF_3'('#skF_8'(A_88)) )
| in('#skF_2'('#skF_8'(A_88)),'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_521]) ).
tff(c_218155,plain,
! [A_1342] :
( ( '#skF_9'(A_1342,'#skF_3'('#skF_8'(A_1342))) = '#skF_3'('#skF_8'(A_1342)) )
| ( '#skF_7'(A_1342) = '#skF_5'(A_1342) )
| ~ ordinal('#skF_2'('#skF_8'(A_1342)))
| ~ in('#skF_2'('#skF_8'(A_1342)),A_1342) ),
inference(resolution,[status(thm)],[c_118550,c_42]) ).
tff(c_218173,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(resolution,[status(thm)],[c_548,c_218155]) ).
tff(c_218242,plain,
( ( '#skF_7'('#skF_1') = '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117998,c_117989,c_218173]) ).
tff(c_218243,plain,
'#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_5359,c_218242]) ).
tff(c_218314,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_218243,c_52]) ).
tff(c_218360,plain,
( ( '#skF_7'('#skF_1') = '#skF_6'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_117998,c_218314]) ).
tff(c_218361,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_166379,c_5359,c_218360]) ).
tff(c_218377,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_1033,c_218361]) ).
tff(c_218419,plain,
( ( '#skF_7'('#skF_1') = '#skF_6'('#skF_1') )
| ~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_117989,c_117998,c_218377]) ).
tff(c_218420,plain,
~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_5359,c_218419]) ).
tff(c_218450,plain,
in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(resolution,[status(thm)],[c_12,c_218361]) ).
tff(c_218602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_218420,c_218450]) ).
tff(c_218604,plain,
'#skF_5'('#skF_1') != '#skF_6'('#skF_1'),
inference(splitRight,[status(thm)],[c_117988]) ).
tff(c_218603,plain,
ordinal('#skF_3'('#skF_8'('#skF_1'))),
inference(splitRight,[status(thm)],[c_117988]) ).
tff(c_274879,plain,
! [A_1644] :
( ~ ordinal('#skF_3'('#skF_8'(A_1644)))
| ~ in('#skF_3'('#skF_8'(A_1644)),'#skF_1')
| ( '#skF_5'(A_1644) = '#skF_6'(A_1644) )
| ~ ordinal('#skF_2'('#skF_8'(A_1644)))
| ~ in('#skF_2'('#skF_8'(A_1644)),A_1644) ),
inference(resolution,[status(thm)],[c_870,c_2]) ).
tff(c_274953,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ ordinal('#skF_3'('#skF_8'('#skF_1')))
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_274879]) ).
tff(c_275003,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_218603,c_117989,c_274953]) ).
tff(c_275004,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_218604,c_275003]) ).
tff(c_315249,plain,
! [A_1830] :
( ( '#skF_9'(A_1830,'#skF_3'('#skF_8'(A_1830))) = '#skF_3'('#skF_8'(A_1830)) )
| ( '#skF_5'(A_1830) = '#skF_6'(A_1830) )
| ~ ordinal('#skF_2'('#skF_8'(A_1830)))
| ~ in('#skF_2'('#skF_8'(A_1830)),A_1830) ),
inference(resolution,[status(thm)],[c_116900,c_46]) ).
tff(c_315259,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(resolution,[status(thm)],[c_421,c_315249]) ).
tff(c_315328,plain,
( ( '#skF_5'('#skF_1') = '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117989,c_315259]) ).
tff(c_315329,plain,
'#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_218604,c_315328]) ).
tff(c_315408,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_315329,c_52]) ).
tff(c_315453,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_275004,c_111191,c_315408]) ).
tff(c_315465,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_1033,c_315453]) ).
tff(c_315507,plain,
( ( '#skF_7'('#skF_1') = '#skF_5'('#skF_1') )
| ~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_117989,c_315465]) ).
tff(c_315508,plain,
~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_111191,c_315507]) ).
tff(c_315543,plain,
in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(resolution,[status(thm)],[c_12,c_315453]) ).
tff(c_315693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_315508,c_315543]) ).
tff(c_315695,plain,
'#skF_7'('#skF_1') = '#skF_6'('#skF_1'),
inference(splitRight,[status(thm)],[c_1323]) ).
tff(c_148,plain,
! [A_50,C_51] :
( ( '#skF_7'(A_50) != '#skF_6'(A_50) )
| ordinal(C_51)
| ~ in(C_51,'#skF_8'(A_50)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_163,plain,
! [A_50] :
( ( '#skF_7'(A_50) != '#skF_6'(A_50) )
| ordinal('#skF_3'('#skF_8'(A_50)))
| ordinal('#skF_2'('#skF_8'(A_50))) ),
inference(resolution,[status(thm)],[c_10,c_148]) ).
tff(c_320630,plain,
( ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_163,c_320603]) ).
tff(c_320656,plain,
ordinal('#skF_3'('#skF_8'('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_315695,c_320630]) ).
tff(c_550,plain,
! [A_90,C_91] :
( ( '#skF_7'(A_90) != '#skF_6'(A_90) )
| ( '#skF_9'(A_90,C_91) = C_91 )
| ~ in(C_91,'#skF_8'(A_90)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_578,plain,
! [A_90] :
( ( '#skF_7'(A_90) != '#skF_6'(A_90) )
| ( '#skF_9'(A_90,'#skF_3'('#skF_8'(A_90))) = '#skF_3'('#skF_8'(A_90)) )
| ordinal('#skF_2'('#skF_8'(A_90))) ),
inference(resolution,[status(thm)],[c_10,c_550]) ).
tff(c_320615,plain,
( ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(resolution,[status(thm)],[c_578,c_320603]) ).
tff(c_320648,plain,
'#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_315695,c_320615]) ).
tff(c_48,plain,
! [A_10,C_30] :
( ( '#skF_7'(A_10) != '#skF_6'(A_10) )
| in('#skF_9'(A_10,C_30),A_10)
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_320829,plain,
( ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_320648,c_48]) ).
tff(c_320867,plain,
( in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_315695,c_320829]) ).
tff(c_321056,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(splitLeft,[status(thm)],[c_320867]) ).
tff(c_321095,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(resolution,[status(thm)],[c_10,c_321056]) ).
tff(c_321124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320603,c_321095]) ).
tff(c_321125,plain,
in('#skF_3'('#skF_8'('#skF_1')),'#skF_1'),
inference(splitRight,[status(thm)],[c_320867]) ).
tff(c_321236,plain,
( ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_321125,c_4]) ).
tff(c_321259,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_320656,c_321236]) ).
tff(c_321261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_320603,c_321259]) ).
tff(c_321263,plain,
ordinal('#skF_2'('#skF_8'('#skF_1'))),
inference(splitRight,[status(thm)],[c_320588]) ).
tff(c_1119,plain,
! [A_138] :
( in('#skF_3'('#skF_8'(A_138)),'#skF_8'(A_138))
| ( '#skF_7'(A_138) != '#skF_6'(A_138) )
| ~ ordinal('#skF_2'('#skF_8'(A_138)))
| ~ in('#skF_2'('#skF_8'(A_138)),A_138) ),
inference(resolution,[status(thm)],[c_1051,c_8]) ).
tff(c_162,plain,
! [A_50] :
( ( '#skF_7'(A_50) != '#skF_6'(A_50) )
| ordinal('#skF_3'('#skF_8'(A_50)))
| in('#skF_2'('#skF_8'(A_50)),'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_148]) ).
tff(c_321272,plain,
! [A_1877] :
( in('#skF_3'('#skF_8'(A_1877)),'#skF_8'(A_1877))
| ( '#skF_7'(A_1877) != '#skF_6'(A_1877) )
| ~ ordinal('#skF_2'('#skF_8'(A_1877)))
| ~ in('#skF_2'('#skF_8'(A_1877)),A_1877) ),
inference(resolution,[status(thm)],[c_1051,c_8]) ).
tff(c_28,plain,
! [A_10,C_30] :
( ( '#skF_7'(A_10) != '#skF_6'(A_10) )
| ordinal(C_30)
| ~ in(C_30,'#skF_8'(A_10)) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_321469,plain,
! [A_1880] :
( ordinal('#skF_3'('#skF_8'(A_1880)))
| ( '#skF_7'(A_1880) != '#skF_6'(A_1880) )
| ~ ordinal('#skF_2'('#skF_8'(A_1880)))
| ~ in('#skF_2'('#skF_8'(A_1880)),A_1880) ),
inference(resolution,[status(thm)],[c_321272,c_28]) ).
tff(c_321515,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| ordinal('#skF_3'('#skF_8'('#skF_1'))) ),
inference(resolution,[status(thm)],[c_162,c_321469]) ).
tff(c_321568,plain,
ordinal('#skF_3'('#skF_8'('#skF_1'))),
inference(demodulation,[status(thm),theory(equality)],[c_315695,c_321263,c_321515]) ).
tff(c_372164,plain,
! [A_2155] :
( ~ ordinal('#skF_3'('#skF_8'(A_2155)))
| ~ in('#skF_3'('#skF_8'(A_2155)),'#skF_1')
| ( '#skF_7'(A_2155) != '#skF_6'(A_2155) )
| ~ ordinal('#skF_2'('#skF_8'(A_2155)))
| ~ in('#skF_2'('#skF_8'(A_2155)),A_2155) ),
inference(resolution,[status(thm)],[c_1051,c_2]) ).
tff(c_372238,plain,
( ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ ordinal('#skF_3'('#skF_8'('#skF_1')))
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_372164]) ).
tff(c_372278,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_321568,c_321263,c_315695,c_372238]) ).
tff(c_577,plain,
! [A_90] :
( ( '#skF_7'(A_90) != '#skF_6'(A_90) )
| ( '#skF_9'(A_90,'#skF_3'('#skF_8'(A_90))) = '#skF_3'('#skF_8'(A_90)) )
| in('#skF_2'('#skF_8'(A_90)),'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_550]) ).
tff(c_418091,plain,
! [A_2365] :
( ( '#skF_9'(A_2365,'#skF_3'('#skF_8'(A_2365))) = '#skF_3'('#skF_8'(A_2365)) )
| ( '#skF_7'(A_2365) != '#skF_6'(A_2365) )
| ~ ordinal('#skF_2'('#skF_8'(A_2365)))
| ~ in('#skF_2'('#skF_8'(A_2365)),A_2365) ),
inference(resolution,[status(thm)],[c_321272,c_38]) ).
tff(c_418105,plain,
( ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| ( '#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')) ) ),
inference(resolution,[status(thm)],[c_577,c_418091]) ).
tff(c_418173,plain,
'#skF_9'('#skF_1','#skF_3'('#skF_8'('#skF_1'))) = '#skF_3'('#skF_8'('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_315695,c_321263,c_418105]) ).
tff(c_418536,plain,
( ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(superposition,[status(thm),theory(equality)],[c_418173,c_48]) ).
tff(c_418582,plain,
( in('#skF_3'('#skF_8'('#skF_1')),'#skF_1')
| ~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_315695,c_418536]) ).
tff(c_418583,plain,
~ in('#skF_3'('#skF_8'('#skF_1')),'#skF_8'('#skF_1')),
inference(negUnitSimplification,[status(thm)],[c_372278,c_418582]) ).
tff(c_418596,plain,
( ( '#skF_7'('#skF_1') != '#skF_6'('#skF_1') )
| ~ ordinal('#skF_2'('#skF_8'('#skF_1')))
| ~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1') ),
inference(resolution,[status(thm)],[c_1119,c_418583]) ).
tff(c_418638,plain,
~ in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_321263,c_315695,c_418596]) ).
tff(c_418667,plain,
in('#skF_2'('#skF_8'('#skF_1')),'#skF_1'),
inference(resolution,[status(thm)],[c_12,c_418583]) ).
tff(c_418734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418638,c_418667]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % 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
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Aug 3 12:22:23 EDT 2023
% 0.10/0.31 % CPUTime :
% 61.29/46.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.33/46.62
% 61.33/46.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 61.49/46.67
% 61.49/46.67 Inference rules
% 61.49/46.67 ----------------------
% 61.49/46.67 #Ref : 0
% 61.49/46.67 #Sup : 107378
% 61.49/46.67 #Fact : 0
% 61.49/46.67 #Define : 0
% 61.49/46.67 #Split : 18
% 61.49/46.67 #Chain : 0
% 61.49/46.67 #Close : 0
% 61.49/46.67
% 61.49/46.67 Ordering : KBO
% 61.49/46.67
% 61.49/46.67 Simplification rules
% 61.49/46.67 ----------------------
% 61.49/46.67 #Subsume : 57082
% 61.49/46.67 #Demod : 2647
% 61.49/46.67 #Tautology : 39994
% 61.49/46.67 #SimpNegUnit : 265
% 61.49/46.67 #BackRed : 12
% 61.49/46.67
% 61.49/46.67 #Partial instantiations: 0
% 61.49/46.67 #Strategies tried : 1
% 61.49/46.67
% 61.49/46.67 Timing (in seconds)
% 61.49/46.67 ----------------------
% 61.49/46.67 Preprocessing : 0.56
% 61.49/46.67 Parsing : 0.31
% 61.49/46.67 CNF conversion : 0.04
% 61.49/46.67 Main loop : 45.05
% 61.49/46.67 Inferencing : 9.59
% 61.49/46.67 Reduction : 10.95
% 61.49/46.67 Demodulation : 7.57
% 61.49/46.67 BG Simplification : 0.72
% 61.49/46.67 Subsumption : 22.57
% 61.49/46.67 Abstraction : 1.45
% 61.49/46.67 MUC search : 0.00
% 61.49/46.67 Cooper : 0.00
% 61.49/46.67 Total : 45.70
% 61.49/46.67 Index Insertion : 0.00
% 61.49/46.67 Index Deletion : 0.00
% 61.49/46.68 Index Matching : 0.00
% 61.49/46.68 BG Taut test : 0.00
%------------------------------------------------------------------------------