TSTP Solution File: SEU281+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU281+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 : n001.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 10:58:16 EDT 2023
% Result : Theorem 269.94s 208.61s
% Output : CNFRefutation 270.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of formulae : 305 ( 75 unt; 30 typ; 0 def)
% Number of atoms : 775 ( 306 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 884 ( 384 ~; 482 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 24 >; 17 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-3 aty)
% Number of variables : 282 (; 271 !; 11 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > ordinal > function > epsilon_transitive > epsilon_connected > empty > ordered_pair > cartesian_product2 > #nlpp > singleton > #skF_5 > #skF_11 > #skF_4 > #skF_17 > #skF_7 > #skF_13 > #skF_10 > #skF_14 > #skF_12 > #skF_18 > #skF_19 > #skF_2 > #skF_1 > #skF_9 > #skF_20 > #skF_8 > #skF_3 > #skF_21 > #skF_16 > #skF_15 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff(epsilon_transitive,type,
epsilon_transitive: $i > $o ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(ordinal,type,
ordinal: $i > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(f_40,negated_conjecture,
~ ! [A,B] :
? [C] :
! [D] :
( in(D,C)
<=> ( in(D,cartesian_product2(A,B))
& ? [E,F] :
( ( ordered_pair(E,F) = D )
& in(E,A)
& ( F = singleton(E) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e16_22__wellord2__1) ).
tff(f_130,axiom,
! [A,B] :
( ! [C,D,E] :
( ( ( C = D )
& ? [F,G] :
( ( ordered_pair(F,G) = D )
& in(F,A)
& ( G = singleton(F) ) )
& ( C = E )
& ? [H,I] :
( ( ordered_pair(H,I) = E )
& in(H,A)
& ( I = singleton(H) ) ) )
=> ( D = E ) )
=> ? [C] :
! [D] :
( in(D,C)
<=> ? [E] :
( in(E,cartesian_product2(A,B))
& ( E = D )
& ? [J,K] :
( ( ordered_pair(J,K) = D )
& in(J,A)
& ( K = singleton(J) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e16_22__wellord2__2) ).
tff(f_93,axiom,
! [A,B] : ~ empty(ordered_pair(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
tff(c_16,plain,
! [C_20] :
( in('#skF_4'(C_20),'#skF_1')
| in('#skF_6'(C_20),C_20) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_289,plain,
! [A_170,B_171,D_172] :
( in('#skF_16'(A_170,B_171),A_170)
| ( '#skF_19'(A_170,B_171,D_172) = D_172 )
| ~ in(D_172,'#skF_18'(A_170,B_171)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_2767,plain,
! [A_437,B_438] :
( in('#skF_16'(A_437,B_438),A_437)
| ( '#skF_19'(A_437,B_438,'#skF_6'('#skF_18'(A_437,B_438))) = '#skF_6'('#skF_18'(A_437,B_438)) )
| in('#skF_4'('#skF_18'(A_437,B_438)),'#skF_1') ),
inference(resolution,[status(thm)],[c_16,c_289]) ).
tff(c_140,plain,
! [A_44,B_45,D_125] :
( in('#skF_16'(A_44,B_45),A_44)
| in('#skF_19'(A_44,B_45,D_125),cartesian_product2(A_44,B_45))
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_2812,plain,
! [A_437,B_438] :
( in('#skF_16'(A_437,B_438),A_437)
| in('#skF_6'('#skF_18'(A_437,B_438)),cartesian_product2(A_437,B_438))
| ~ in('#skF_6'('#skF_18'(A_437,B_438)),'#skF_18'(A_437,B_438))
| in('#skF_16'(A_437,B_438),A_437)
| in('#skF_4'('#skF_18'(A_437,B_438)),'#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_2767,c_140]) ).
tff(c_1962,plain,
! [A_374,B_375,D_376] :
( ( ordered_pair('#skF_14'(A_374,B_375),'#skF_15'(A_374,B_375)) = '#skF_12'(A_374,B_375) )
| in('#skF_20'(A_374,B_375,D_376),A_374)
| ~ in(D_376,'#skF_18'(A_374,B_375)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_62,plain,
! [A_42,B_43] : ~ empty(ordered_pair(A_42,B_43)),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_1967,plain,
! [A_374,B_375,D_376] :
( ~ empty('#skF_12'(A_374,B_375))
| in('#skF_20'(A_374,B_375,D_376),A_374)
| ~ in(D_376,'#skF_18'(A_374,B_375)) ),
inference(superposition,[status(thm),theory(equality)],[c_1962,c_62]) ).
tff(c_4220,plain,
! [A_550,B_551,D_552] :
( ( ordered_pair('#skF_14'(A_550,B_551),'#skF_15'(A_550,B_551)) = '#skF_12'(A_550,B_551) )
| ( ordered_pair('#skF_20'(A_550,B_551,D_552),'#skF_21'(A_550,B_551,D_552)) = D_552 )
| ~ in(D_552,'#skF_18'(A_550,B_551)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_4228,plain,
! [A_550,B_551,D_552] :
( ~ empty('#skF_12'(A_550,B_551))
| ( ordered_pair('#skF_20'(A_550,B_551,D_552),'#skF_21'(A_550,B_551,D_552)) = D_552 )
| ~ in(D_552,'#skF_18'(A_550,B_551)) ),
inference(superposition,[status(thm),theory(equality)],[c_4220,c_62]) ).
tff(c_250,plain,
! [C_162] :
( ( ordered_pair('#skF_4'(C_162),'#skF_5'(C_162)) = '#skF_3'(C_162) )
| in('#skF_6'(C_162),C_162) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_255,plain,
! [C_162] :
( ~ empty('#skF_3'(C_162))
| in('#skF_6'(C_162),C_162) ),
inference(superposition,[status(thm),theory(equality)],[c_250,c_62]) ).
tff(c_799,plain,
! [A_254,B_255,D_256] :
( in('#skF_16'(A_254,B_255),A_254)
| ( singleton('#skF_20'(A_254,B_255,D_256)) = '#skF_21'(A_254,B_255,D_256) )
| ~ in(D_256,'#skF_18'(A_254,B_255)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_5965,plain,
! [A_639,B_640] :
( in('#skF_16'(A_639,B_640),A_639)
| ( singleton('#skF_20'(A_639,B_640,'#skF_6'('#skF_18'(A_639,B_640)))) = '#skF_21'(A_639,B_640,'#skF_6'('#skF_18'(A_639,B_640))) )
| ~ empty('#skF_3'('#skF_18'(A_639,B_640))) ),
inference(resolution,[status(thm)],[c_255,c_799]) ).
tff(c_6,plain,
! [C_20,E_34] :
( in('#skF_4'(C_20),'#skF_1')
| ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_257957,plain,
! [C_9175,A_9176,B_9177] :
( in('#skF_4'(C_9175),'#skF_1')
| ~ in('#skF_20'(A_9176,B_9177,'#skF_6'('#skF_18'(A_9176,B_9177))),'#skF_1')
| ( ordered_pair('#skF_20'(A_9176,B_9177,'#skF_6'('#skF_18'(A_9176,B_9177))),'#skF_21'(A_9176,B_9177,'#skF_6'('#skF_18'(A_9176,B_9177)))) != '#skF_6'(C_9175) )
| ~ in('#skF_6'(C_9175),cartesian_product2('#skF_1','#skF_2'))
| in('#skF_16'(A_9176,B_9177),A_9176)
| ~ empty('#skF_3'('#skF_18'(A_9176,B_9177))) ),
inference(superposition,[status(thm),theory(equality)],[c_5965,c_6]) ).
tff(c_322055,plain,
! [C_11017,A_11018,B_11019] :
( in('#skF_4'(C_11017),'#skF_1')
| ~ in('#skF_20'(A_11018,B_11019,'#skF_6'('#skF_18'(A_11018,B_11019))),'#skF_1')
| ( '#skF_6'(C_11017) != '#skF_6'('#skF_18'(A_11018,B_11019)) )
| ~ in('#skF_6'(C_11017),cartesian_product2('#skF_1','#skF_2'))
| in('#skF_16'(A_11018,B_11019),A_11018)
| ~ empty('#skF_3'('#skF_18'(A_11018,B_11019)))
| ~ empty('#skF_12'(A_11018,B_11019))
| ~ in('#skF_6'('#skF_18'(A_11018,B_11019)),'#skF_18'(A_11018,B_11019)) ),
inference(superposition,[status(thm),theory(equality)],[c_4228,c_257957]) ).
tff(c_322094,plain,
! [C_11017,B_375] :
( in('#skF_4'(C_11017),'#skF_1')
| ( '#skF_6'(C_11017) != '#skF_6'('#skF_18'('#skF_1',B_375)) )
| ~ in('#skF_6'(C_11017),cartesian_product2('#skF_1','#skF_2'))
| in('#skF_16'('#skF_1',B_375),'#skF_1')
| ~ empty('#skF_3'('#skF_18'('#skF_1',B_375)))
| ~ empty('#skF_12'('#skF_1',B_375))
| ~ in('#skF_6'('#skF_18'('#skF_1',B_375)),'#skF_18'('#skF_1',B_375)) ),
inference(resolution,[status(thm)],[c_1967,c_322055]) ).
tff(c_322108,plain,
! [B_11022] :
( in('#skF_4'('#skF_18'('#skF_1',B_11022)),'#skF_1')
| ~ in('#skF_6'('#skF_18'('#skF_1',B_11022)),cartesian_product2('#skF_1','#skF_2'))
| in('#skF_16'('#skF_1',B_11022),'#skF_1')
| ~ empty('#skF_3'('#skF_18'('#skF_1',B_11022)))
| ~ empty('#skF_12'('#skF_1',B_11022))
| ~ in('#skF_6'('#skF_18'('#skF_1',B_11022)),'#skF_18'('#skF_1',B_11022)) ),
inference(reflexivity,[status(thm),theory(equality)],[c_322094]) ).
tff(c_322687,plain,
( ~ empty('#skF_3'('#skF_18'('#skF_1','#skF_2')))
| ~ empty('#skF_12'('#skF_1','#skF_2'))
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| in('#skF_16'('#skF_1','#skF_2'),'#skF_1')
| in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1') ),
inference(resolution,[status(thm)],[c_2812,c_322108]) ).
tff(c_322693,plain,
~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_322687]) ).
tff(c_322710,plain,
in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(resolution,[status(thm)],[c_16,c_322693]) ).
tff(c_20,plain,
! [C_20] :
( in('#skF_3'(C_20),cartesian_product2('#skF_1','#skF_2'))
| in('#skF_6'(C_20),C_20) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_18,plain,
! [C_20] :
( ( ordered_pair('#skF_4'(C_20),'#skF_5'(C_20)) = '#skF_3'(C_20) )
| in('#skF_6'(C_20),C_20) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_14,plain,
! [C_20] :
( ( singleton('#skF_4'(C_20)) = '#skF_5'(C_20) )
| in('#skF_6'(C_20),C_20) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_322708,plain,
singleton('#skF_4'('#skF_18'('#skF_1','#skF_2'))) = '#skF_5'('#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_14,c_322693]) ).
tff(c_158,plain,
! [A_44,B_45,J_139] :
( in('#skF_16'(A_44,B_45),A_44)
| in(ordered_pair(J_139,singleton(J_139)),'#skF_18'(A_44,B_45))
| ~ in(J_139,A_44)
| ~ in(ordered_pair(J_139,singleton(J_139)),cartesian_product2(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_322764,plain,
! [A_44,B_45] :
( in('#skF_16'(A_44,B_45),A_44)
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_322708,c_158]) ).
tff(c_327578,plain,
! [A_11044,B_11045] :
( in('#skF_16'(A_11044,B_11045),A_11044)
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11044,B_11045))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11044)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_11044,B_11045)) ),
inference(demodulation,[status(thm),theory(equality)],[c_322708,c_322764]) ).
tff(c_327581,plain,
! [A_11044,B_11045] :
( in('#skF_16'(A_11044,B_11045),A_11044)
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11044,B_11045))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11044)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11044,B_11045))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_327578]) ).
tff(c_327584,plain,
! [A_11049,B_11050] :
( in('#skF_16'(A_11049,B_11050),A_11049)
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11049,B_11050))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11049)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11049,B_11050)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_327581]) ).
tff(c_329467,plain,
! [A_11049,B_11050] :
( in('#skF_16'(A_11049,B_11050),A_11049)
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11049,B_11050))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11049)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11049,B_11050))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_327584]) ).
tff(c_330060,plain,
! [A_11051,B_11052] :
( in('#skF_16'(A_11051,B_11052),A_11051)
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11051,B_11052))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11051)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11051,B_11052)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_329467]) ).
tff(c_330339,plain,
( in('#skF_16'('#skF_1','#skF_2'),'#skF_1')
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_20,c_330060]) ).
tff(c_330618,plain,
( in('#skF_16'('#skF_1','#skF_2'),'#skF_1')
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_322710,c_330339]) ).
tff(c_330619,plain,
( in('#skF_16'('#skF_1','#skF_2'),'#skF_1')
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_330618]) ).
tff(c_330620,plain,
in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_330619]) ).
tff(c_12,plain,
! [C_20] :
( ~ in('#skF_3'(C_20),C_20)
| in('#skF_6'(C_20),C_20) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_330697,plain,
in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_330620,c_12]) ).
tff(c_330732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322693,c_330697]) ).
tff(c_330734,plain,
~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_330619]) ).
tff(c_162,plain,
! [A_44,B_45,J_139] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| in(ordered_pair(J_139,singleton(J_139)),'#skF_18'(A_44,B_45))
| ~ in(J_139,A_44)
| ~ in(ordered_pair(J_139,singleton(J_139)),cartesian_product2(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_322754,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_322708,c_162]) ).
tff(c_340484,plain,
! [A_11117,B_11118] :
( ( '#skF_11'(A_11117,B_11118) = '#skF_13'(A_11117,B_11118) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11117,B_11118))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11117)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_11117,B_11118)) ),
inference(demodulation,[status(thm),theory(equality)],[c_322708,c_322754]) ).
tff(c_340487,plain,
! [A_11117,B_11118] :
( ( '#skF_11'(A_11117,B_11118) = '#skF_13'(A_11117,B_11118) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11117,B_11118))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11117)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11117,B_11118))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_340484]) ).
tff(c_340489,plain,
! [A_11119,B_11120] :
( ( '#skF_11'(A_11119,B_11120) = '#skF_13'(A_11119,B_11120) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11119,B_11120))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11119)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11119,B_11120)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_340487]) ).
tff(c_341400,plain,
! [A_11119,B_11120] :
( ( '#skF_11'(A_11119,B_11120) = '#skF_13'(A_11119,B_11120) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11119,B_11120))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11119)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11119,B_11120))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_340489]) ).
tff(c_341693,plain,
! [A_11121,B_11122] :
( ( '#skF_11'(A_11121,B_11122) = '#skF_13'(A_11121,B_11122) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11121,B_11122))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11121)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11121,B_11122)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_341400]) ).
tff(c_342065,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_20,c_341693]) ).
tff(c_342436,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_322710,c_342065]) ).
tff(c_342437,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_322693,c_330734,c_342436]) ).
tff(c_170,plain,
! [A_44,B_45,J_139] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in(ordered_pair(J_139,singleton(J_139)),'#skF_18'(A_44,B_45))
| ~ in(J_139,A_44)
| ~ in(ordered_pair(J_139,singleton(J_139)),cartesian_product2(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_322760,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_322708,c_170]) ).
tff(c_344673,plain,
! [A_11142,B_11143] :
( ( '#skF_11'(A_11142,B_11143) = '#skF_12'(A_11142,B_11143) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11142,B_11143))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11142)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_11142,B_11143)) ),
inference(demodulation,[status(thm),theory(equality)],[c_322708,c_322760]) ).
tff(c_344676,plain,
! [A_11142,B_11143] :
( ( '#skF_11'(A_11142,B_11143) = '#skF_12'(A_11142,B_11143) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11142,B_11143))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11142)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11142,B_11143))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_344673]) ).
tff(c_344678,plain,
! [A_11144,B_11145] :
( ( '#skF_11'(A_11144,B_11145) = '#skF_12'(A_11144,B_11145) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11144,B_11145))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11144)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11144,B_11145)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_344676]) ).
tff(c_345589,plain,
! [A_11144,B_11145] :
( ( '#skF_11'(A_11144,B_11145) = '#skF_12'(A_11144,B_11145) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11144,B_11145))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11144)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11144,B_11145))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_344678]) ).
tff(c_345882,plain,
! [A_11146,B_11147] :
( ( '#skF_11'(A_11146,B_11147) = '#skF_12'(A_11146,B_11147) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11146,B_11147))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11146)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11146,B_11147)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_345589]) ).
tff(c_346254,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_20,c_345882]) ).
tff(c_346625,plain,
( ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_322710,c_342437,c_346254]) ).
tff(c_346626,plain,
'#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_322693,c_330734,c_346625]) ).
tff(c_154,plain,
! [A_44,B_45,J_139] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| in(ordered_pair(J_139,singleton(J_139)),'#skF_18'(A_44,B_45))
| ~ in(J_139,A_44)
| ~ in(ordered_pair(J_139,singleton(J_139)),cartesian_product2(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_322757,plain,
! [A_44,B_45] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_322708,c_154]) ).
tff(c_349086,plain,
! [A_11171,B_11172] :
( ( '#skF_13'(A_11171,B_11172) != '#skF_12'(A_11171,B_11172) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11171,B_11172))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11171)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_11171,B_11172)) ),
inference(demodulation,[status(thm),theory(equality)],[c_322708,c_322757]) ).
tff(c_349089,plain,
! [A_11171,B_11172] :
( ( '#skF_13'(A_11171,B_11172) != '#skF_12'(A_11171,B_11172) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11171,B_11172))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11171)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11171,B_11172))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_349086]) ).
tff(c_349091,plain,
! [A_11173,B_11174] :
( ( '#skF_13'(A_11173,B_11174) != '#skF_12'(A_11173,B_11174) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_11173,B_11174))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11173)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11173,B_11174)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_349089]) ).
tff(c_350002,plain,
! [A_11173,B_11174] :
( ( '#skF_13'(A_11173,B_11174) != '#skF_12'(A_11173,B_11174) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11173,B_11174))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11173)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11173,B_11174))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_349091]) ).
tff(c_350295,plain,
! [A_11175,B_11176] :
( ( '#skF_13'(A_11175,B_11176) != '#skF_12'(A_11175,B_11176) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11175,B_11176))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11175)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11175,B_11176)) ),
inference(negUnitSimplification,[status(thm)],[c_322693,c_350002]) ).
tff(c_350667,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_20,c_350295]) ).
tff(c_351038,plain,
( in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_322710,c_346626,c_350667]) ).
tff(c_351040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_322693,c_330734,c_351038]) ).
tff(c_351042,plain,
in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_322687]) ).
tff(c_100,plain,
! [A_44,B_45,D_125] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| ( ordered_pair('#skF_20'(A_44,B_45,D_125),'#skF_21'(A_44,B_45,D_125)) = D_125 )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_82,plain,
! [A_44,B_45,D_125] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| in('#skF_20'(A_44,B_45,D_125),A_44)
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_68,plain,
! [A_44,B_45,D_125] :
( in('#skF_16'(A_44,B_45),A_44)
| ( singleton('#skF_20'(A_44,B_45,D_125)) = '#skF_21'(A_44,B_45,D_125) )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351181,plain,
( in('#skF_16'('#skF_1','#skF_2'),'#skF_1')
| ( singleton('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) = '#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) ) ),
inference(resolution,[status(thm)],[c_351042,c_68]) ).
tff(c_356624,plain,
singleton('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) = '#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),
inference(splitLeft,[status(thm)],[c_351181]) ).
tff(c_356773,plain,
! [C_20] :
( in('#skF_4'(C_20),'#skF_1')
| ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_6]) ).
tff(c_356975,plain,
~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1'),
inference(splitLeft,[status(thm)],[c_356773]) ).
tff(c_356999,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_82,c_356975]) ).
tff(c_357035,plain,
'#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_356999]) ).
tff(c_98,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in('#skF_20'(A_44,B_45,D_125),A_44)
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_357002,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_98,c_356975]) ).
tff(c_357038,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357002]) ).
tff(c_90,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| in('#skF_20'(A_44,B_45,D_125),A_44)
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_356996,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_90,c_356975]) ).
tff(c_357032,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_356996]) ).
tff(c_357058,plain,
'#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_357038,c_357032]) ).
tff(c_357063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357035,c_357058]) ).
tff(c_357065,plain,
in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1'),
inference(splitRight,[status(thm)],[c_356773]) ).
tff(c_4,plain,
! [C_20,E_34] :
( ( singleton('#skF_4'(C_20)) = '#skF_5'(C_20) )
| ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_356771,plain,
! [C_20] :
( ( singleton('#skF_4'(C_20)) = '#skF_5'(C_20) )
| ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_4]) ).
tff(c_357078,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_11204) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_357065,c_356771]) ).
tff(c_357096,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( '#skF_6'(C_11204) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_100,c_357078]) ).
tff(c_357120,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( '#skF_6'(C_11204) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357096]) ).
tff(c_357250,plain,
'#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_357120]) ).
tff(c_116,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| ( ordered_pair('#skF_20'(A_44,B_45,D_125),'#skF_21'(A_44,B_45,D_125)) = D_125 )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_10,plain,
! [C_20,E_34] :
( in('#skF_3'(C_20),cartesian_product2('#skF_1','#skF_2'))
| ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_356769,plain,
! [C_20] :
( in('#skF_3'(C_20),cartesian_product2('#skF_1','#skF_2'))
| ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_10]) ).
tff(c_357137,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_11205) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_357065,c_356769]) ).
tff(c_357158,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_357137]) ).
tff(c_357181,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357158]) ).
tff(c_409031,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_357181]) ).
tff(c_108,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| ( ordered_pair('#skF_20'(A_44,B_45,D_125),'#skF_21'(A_44,B_45,D_125)) = D_125 )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_130,plain,
! [A_44,B_45,D_125] :
( in('#skF_14'(A_44,B_45),A_44)
| ( '#skF_19'(A_44,B_45,D_125) = D_125 )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351188,plain,
( in('#skF_14'('#skF_1','#skF_2'),'#skF_1')
| ( '#skF_19'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) = '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(resolution,[status(thm)],[c_351042,c_130]) ).
tff(c_352247,plain,
'#skF_19'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) = '#skF_6'('#skF_18'('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_351188]) ).
tff(c_352329,plain,
( in('#skF_16'('#skF_1','#skF_2'),'#skF_1')
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2'))
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_352247,c_140]) ).
tff(c_352394,plain,
( in('#skF_16'('#skF_1','#skF_2'),'#skF_1')
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_352329]) ).
tff(c_352397,plain,
in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_352394]) ).
tff(c_357102,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( '#skF_6'(C_11204) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_108,c_357078]) ).
tff(c_357124,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( '#skF_6'(C_11204) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357102]) ).
tff(c_357251,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_357124]) ).
tff(c_428,plain,
! [A_187,B_188,D_189] :
( ( '#skF_11'(A_187,B_188) = '#skF_12'(A_187,B_188) )
| ( '#skF_19'(A_187,B_188,D_189) = D_189 )
| ~ in(D_189,'#skF_18'(A_187,B_188)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_7414,plain,
! [A_695,B_696] :
( ( '#skF_11'(A_695,B_696) = '#skF_12'(A_695,B_696) )
| ( '#skF_19'(A_695,B_696,'#skF_6'('#skF_18'(A_695,B_696))) = '#skF_6'('#skF_18'(A_695,B_696)) )
| ( singleton('#skF_4'('#skF_18'(A_695,B_696))) = '#skF_5'('#skF_18'(A_695,B_696)) ) ),
inference(resolution,[status(thm)],[c_14,c_428]) ).
tff(c_152,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in('#skF_19'(A_44,B_45,D_125),cartesian_product2(A_44,B_45))
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_7513,plain,
! [A_695,B_696] :
( ( '#skF_11'(A_695,B_696) = '#skF_12'(A_695,B_696) )
| in('#skF_6'('#skF_18'(A_695,B_696)),cartesian_product2(A_695,B_696))
| ~ in('#skF_6'('#skF_18'(A_695,B_696)),'#skF_18'(A_695,B_696))
| ( '#skF_11'(A_695,B_696) = '#skF_12'(A_695,B_696) )
| ( singleton('#skF_4'('#skF_18'(A_695,B_696))) = '#skF_5'('#skF_18'(A_695,B_696)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_7414,c_152]) ).
tff(c_357099,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( '#skF_6'(C_11204) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_357078]) ).
tff(c_357122,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( '#skF_6'(C_11204) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357099]) ).
tff(c_357257,plain,
! [C_11204] :
( ( singleton('#skF_4'(C_11204)) = '#skF_5'(C_11204) )
| ( '#skF_6'(C_11204) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11204),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357251,c_357122]) ).
tff(c_357259,plain,
! [C_11207] :
( ( singleton('#skF_4'(C_11207)) = '#skF_5'(C_11207) )
| ( '#skF_6'(C_11207) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11207),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_357250,c_357257]) ).
tff(c_357480,plain,
( ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ( singleton('#skF_4'('#skF_18'('#skF_1','#skF_2'))) = '#skF_5'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(resolution,[status(thm)],[c_7513,c_357259]) ).
tff(c_358066,plain,
( ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ( singleton('#skF_4'('#skF_18'('#skF_1','#skF_2'))) = '#skF_5'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357251,c_351042,c_357480]) ).
tff(c_358067,plain,
singleton('#skF_4'('#skF_18'('#skF_1','#skF_2'))) = '#skF_5'('#skF_18'('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_357250,c_358066]) ).
tff(c_358409,plain,
! [C_20] :
( in('#skF_4'(C_20),'#skF_1')
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| ( ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_358067,c_6]) ).
tff(c_359559,plain,
~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(splitLeft,[status(thm)],[c_358409]) ).
tff(c_365386,plain,
! [C_11236] :
( in('#skF_4'(C_11236),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_11236) )
| ~ in('#skF_6'(C_11236),cartesian_product2('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_356773]) ).
tff(c_365407,plain,
! [C_11236] :
( in('#skF_4'(C_11236),'#skF_1')
| ( '#skF_6'(C_11236) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11236),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_365386]) ).
tff(c_365430,plain,
! [C_11236] :
( in('#skF_4'(C_11236),'#skF_1')
| ( '#skF_6'(C_11236) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11236),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357251,c_365407]) ).
tff(c_365438,plain,
! [C_11237] :
( in('#skF_4'(C_11237),'#skF_1')
| ( '#skF_6'(C_11237) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11237),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_357250,c_365430]) ).
tff(c_365441,plain,
in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(resolution,[status(thm)],[c_352397,c_365438]) ).
tff(c_366110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_359559,c_365441]) ).
tff(c_366112,plain,
in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(splitRight,[status(thm)],[c_358409]) ).
tff(c_367430,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357251,c_357181]) ).
tff(c_367431,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_357250,c_367430]) ).
tff(c_8,plain,
! [C_20,E_34] :
( ( ordered_pair('#skF_4'(C_20),'#skF_5'(C_20)) = '#skF_3'(C_20) )
| ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_356767,plain,
! [C_20] :
( ( ordered_pair('#skF_4'(C_20),'#skF_5'(C_20)) = '#skF_3'(C_20) )
| ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_8]) ).
tff(c_357198,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_11206) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_357065,c_356767]) ).
tff(c_357219,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_357198]) ).
tff(c_357242,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357219]) ).
tff(c_368532,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_357251,c_357242]) ).
tff(c_368534,plain,
! [C_11251] :
( ( ordered_pair('#skF_4'(C_11251),'#skF_5'(C_11251)) = '#skF_3'(C_11251) )
| ( '#skF_6'(C_11251) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11251),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_357250,c_368532]) ).
tff(c_369005,plain,
ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))) = '#skF_3'('#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_352397,c_368534]) ).
tff(c_358397,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_358067,c_170]) ).
tff(c_358462,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_358067,c_358397]) ).
tff(c_382852,plain,
! [A_11309,B_11310] :
( ( '#skF_11'(A_11309,B_11310) = '#skF_12'(A_11309,B_11310) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11309,B_11310))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11309)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11309,B_11310)) ),
inference(demodulation,[status(thm),theory(equality)],[c_369005,c_369005,c_358462]) ).
tff(c_382860,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_367431,c_382852]) ).
tff(c_383235,plain,
( ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_366112,c_357251,c_382860]) ).
tff(c_383236,plain,
in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_357250,c_383235]) ).
tff(c_2,plain,
! [C_20,E_34] :
( ~ in('#skF_3'(C_20),C_20)
| ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_383662,plain,
! [E_34] :
( ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_383236,c_2]) ).
tff(c_384977,plain,
! [E_11317] :
( ~ in(E_11317,'#skF_1')
| ( ordered_pair(E_11317,singleton(E_11317)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_383662]) ).
tff(c_384992,plain,
( ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_384977]) ).
tff(c_385665,plain,
ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_357065,c_384992]) ).
tff(c_387000,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_385665]) ).
tff(c_387030,plain,
'#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357251,c_387000]) ).
tff(c_387032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357250,c_387030]) ).
tff(c_387035,plain,
! [C_11322] :
( ( singleton('#skF_4'(C_11322)) = '#skF_5'(C_11322) )
| ( '#skF_6'(C_11322) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11322),cartesian_product2('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_357124]) ).
tff(c_387704,plain,
singleton('#skF_4'('#skF_18'('#skF_1','#skF_2'))) = '#skF_5'('#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_352397,c_387035]) ).
tff(c_388184,plain,
! [C_20] :
( in('#skF_4'(C_20),'#skF_1')
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| ( ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_387704,c_6]) ).
tff(c_389338,plain,
~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(splitLeft,[status(thm)],[c_388184]) ).
tff(c_387034,plain,
'#skF_11'('#skF_1','#skF_2') != '#skF_13'('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_357124]) ).
tff(c_406980,plain,
! [C_11395] :
( in('#skF_4'(C_11395),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_11395) )
| ~ in('#skF_6'(C_11395),cartesian_product2('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_356773]) ).
tff(c_407004,plain,
! [C_11395] :
( in('#skF_4'(C_11395),'#skF_1')
| ( '#skF_6'(C_11395) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11395),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_108,c_406980]) ).
tff(c_407027,plain,
! [C_11395] :
( in('#skF_4'(C_11395),'#skF_1')
| ( '#skF_6'(C_11395) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11395),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_407004]) ).
tff(c_407034,plain,
! [C_11399] :
( in('#skF_4'(C_11399),'#skF_1')
| ( '#skF_6'(C_11399) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11399),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_387034,c_407027]) ).
tff(c_407037,plain,
in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(resolution,[status(thm)],[c_352397,c_407034]) ).
tff(c_407706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_389338,c_407037]) ).
tff(c_407708,plain,
in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(splitRight,[status(thm)],[c_388184]) ).
tff(c_357161,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_108,c_357137]) ).
tff(c_357183,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357161]) ).
tff(c_410115,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_409031,c_357183]) ).
tff(c_410116,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_357250,c_410115]) ).
tff(c_357222,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_108,c_357198]) ).
tff(c_357244,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357222]) ).
tff(c_410170,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_409031,c_357244]) ).
tff(c_410172,plain,
! [C_11416] :
( ( ordered_pair('#skF_4'(C_11416),'#skF_5'(C_11416)) = '#skF_3'(C_11416) )
| ( '#skF_6'(C_11416) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11416),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_357250,c_410170]) ).
tff(c_410643,plain,
ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))) = '#skF_3'('#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_352397,c_410172]) ).
tff(c_388166,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_387704,c_162]) ).
tff(c_388235,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_387704,c_388166]) ).
tff(c_431593,plain,
! [A_11492,B_11493] :
( ( '#skF_11'(A_11492,B_11493) = '#skF_13'(A_11492,B_11493) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11492,B_11493))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11492)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11492,B_11493)) ),
inference(demodulation,[status(thm),theory(equality)],[c_410643,c_410643,c_388235]) ).
tff(c_431601,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_410116,c_431593]) ).
tff(c_431976,plain,
( ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_407708,c_409031,c_431601]) ).
tff(c_431977,plain,
in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_357250,c_431976]) ).
tff(c_432403,plain,
! [E_34] :
( ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_431977,c_2]) ).
tff(c_433778,plain,
! [E_11500] :
( ~ in(E_11500,'#skF_1')
| ( ordered_pair(E_11500,singleton(E_11500)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_432403]) ).
tff(c_433790,plain,
( ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_433778]) ).
tff(c_434463,plain,
ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_357065,c_433790]) ).
tff(c_436950,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_108,c_434463]) ).
tff(c_436980,plain,
'#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_409031,c_436950]) ).
tff(c_436982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_357250,c_436980]) ).
tff(c_436984,plain,
'#skF_11'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_357181]) ).
tff(c_436983,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_357181]) ).
tff(c_438118,plain,
! [C_11518] :
( ( ordered_pair('#skF_4'(C_11518),'#skF_5'(C_11518)) = '#skF_3'(C_11518) )
| ( '#skF_6'(C_11518) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11518),cartesian_product2('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_436984,c_357242]) ).
tff(c_438589,plain,
ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))) = '#skF_3'('#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_352397,c_438118]) ).
tff(c_388172,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_387704,c_170]) ).
tff(c_388237,plain,
! [A_44,B_45] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_387704,c_388172]) ).
tff(c_459026,plain,
! [A_11592,B_11593] :
( ( '#skF_11'(A_11592,B_11593) = '#skF_12'(A_11592,B_11593) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11592,B_11593))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11592)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11592,B_11593)) ),
inference(demodulation,[status(thm),theory(equality)],[c_438589,c_438589,c_388237]) ).
tff(c_459034,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_436983,c_459026]) ).
tff(c_459409,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_407708,c_459034]) ).
tff(c_459410,plain,
in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_436984,c_459409]) ).
tff(c_459836,plain,
! [E_34] :
( ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_459410,c_2]) ).
tff(c_461209,plain,
! [E_11600] :
( ~ in(E_11600,'#skF_1')
| ( ordered_pair(E_11600,singleton(E_11600)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_459836]) ).
tff(c_461221,plain,
( ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_461209]) ).
tff(c_461894,plain,
ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_357065,c_461221]) ).
tff(c_464381,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_116,c_461894]) ).
tff(c_464411,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_464381]) ).
tff(c_464413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_436984,c_464411]) ).
tff(c_464415,plain,
'#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_357120]) ).
tff(c_464421,plain,
! [C_11612] :
( ( singleton('#skF_4'(C_11612)) = '#skF_5'(C_11612) )
| ( '#skF_6'(C_11612) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11612),cartesian_product2('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_357120]) ).
tff(c_465090,plain,
singleton('#skF_4'('#skF_18'('#skF_1','#skF_2'))) = '#skF_5'('#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_352397,c_464421]) ).
tff(c_465547,plain,
! [C_20] :
( in('#skF_4'(C_20),'#skF_1')
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| ( ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))) != '#skF_6'(C_20) )
| ~ in('#skF_6'(C_20),cartesian_product2('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_465090,c_6]) ).
tff(c_465642,plain,
~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(splitLeft,[status(thm)],[c_465547]) ).
tff(c_473571,plain,
! [C_11642] :
( in('#skF_4'(C_11642),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'(C_11642) )
| ~ in('#skF_6'(C_11642),cartesian_product2('#skF_1','#skF_2')) ),
inference(splitRight,[status(thm)],[c_356773]) ).
tff(c_473589,plain,
! [C_11642] :
( in('#skF_4'(C_11642),'#skF_1')
| ( '#skF_6'(C_11642) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11642),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_100,c_473571]) ).
tff(c_473622,plain,
! [C_11643] :
( in('#skF_4'(C_11643),'#skF_1')
| ( '#skF_6'(C_11643) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11643),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_464415,c_473589]) ).
tff(c_473625,plain,
in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(resolution,[status(thm)],[c_352397,c_473622]) ).
tff(c_474294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_465642,c_473625]) ).
tff(c_474296,plain,
in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1'),
inference(splitRight,[status(thm)],[c_465547]) ).
tff(c_357155,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_100,c_357137]) ).
tff(c_357179,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357155]) ).
tff(c_476838,plain,
! [C_11205] :
( in('#skF_3'(C_11205),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_6'(C_11205) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11205),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_464415,c_357179]) ).
tff(c_357216,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_100,c_357198]) ).
tff(c_357240,plain,
! [C_11206] :
( ( ordered_pair('#skF_4'(C_11206),'#skF_5'(C_11206)) = '#skF_3'(C_11206) )
| ( '#skF_6'(C_11206) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11206),cartesian_product2('#skF_1','#skF_2'))
| ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_357216]) ).
tff(c_479016,plain,
! [C_11669] :
( ( ordered_pair('#skF_4'(C_11669),'#skF_5'(C_11669)) = '#skF_3'(C_11669) )
| ( '#skF_6'(C_11669) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'(C_11669),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_464415,c_357240]) ).
tff(c_479487,plain,
ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))) = '#skF_3'('#skF_18'('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_352397,c_479016]) ).
tff(c_465532,plain,
! [A_44,B_45] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),singleton('#skF_4'('#skF_18'('#skF_1','#skF_2')))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_465090,c_154]) ).
tff(c_465599,plain,
! [A_44,B_45] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),'#skF_18'(A_44,B_45))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_44)
| ~ in(ordered_pair('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_5'('#skF_18'('#skF_1','#skF_2'))),cartesian_product2(A_44,B_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_465090,c_465532]) ).
tff(c_494321,plain,
! [A_11731,B_11732] :
( ( '#skF_13'(A_11731,B_11732) != '#skF_12'(A_11731,B_11732) )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'(A_11731,B_11732))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),A_11731)
| ~ in('#skF_3'('#skF_18'('#skF_1','#skF_2')),cartesian_product2(A_11731,B_11732)) ),
inference(demodulation,[status(thm),theory(equality)],[c_479487,c_479487,c_465599]) ).
tff(c_494329,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2'))
| ~ in('#skF_4'('#skF_18'('#skF_1','#skF_2')),'#skF_1')
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_476838,c_494321]) ).
tff(c_494703,plain,
in('#skF_3'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_474296,c_464415,c_494329]) ).
tff(c_495037,plain,
! [E_34] :
( ~ in(E_34,'#skF_1')
| ( ordered_pair(E_34,singleton(E_34)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_494703,c_2]) ).
tff(c_495114,plain,
! [E_11733] :
( ~ in(E_11733,'#skF_1')
| ( ordered_pair(E_11733,singleton(E_11733)) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_352397,c_495037]) ).
tff(c_495132,plain,
( ~ in('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_1')
| ( ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(superposition,[status(thm),theory(equality)],[c_356624,c_495114]) ).
tff(c_495805,plain,
ordered_pair('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),'#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_357065,c_495132]) ).
tff(c_496088,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_100,c_495805]) ).
tff(c_496119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_464415,c_496088]) ).
tff(c_496121,plain,
singleton('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) != '#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))),
inference(splitRight,[status(thm)],[c_351181]) ).
tff(c_64,plain,
! [A_44,B_45,D_125] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| ( singleton('#skF_20'(A_44,B_45,D_125)) = '#skF_21'(A_44,B_45,D_125) )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351174,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ( singleton('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) = '#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) ) ),
inference(resolution,[status(thm)],[c_351042,c_64]) ).
tff(c_498897,plain,
'#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_496121,c_351174]) ).
tff(c_80,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| ( singleton('#skF_20'(A_44,B_45,D_125)) = '#skF_21'(A_44,B_45,D_125) )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351179,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ( singleton('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) = '#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) ) ),
inference(resolution,[status(thm)],[c_351042,c_80]) ).
tff(c_498892,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_496121,c_351179]) ).
tff(c_72,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| ( singleton('#skF_20'(A_44,B_45,D_125)) = '#skF_21'(A_44,B_45,D_125) )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351178,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ( singleton('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) = '#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) ) ),
inference(resolution,[status(thm)],[c_351042,c_72]) ).
tff(c_498900,plain,
( ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ( singleton('#skF_20'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2')))) = '#skF_21'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_498892,c_351178]) ).
tff(c_498901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_496121,c_498897,c_498900]) ).
tff(c_498903,plain,
~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_352394]) ).
tff(c_136,plain,
! [A_44,B_45,D_125] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| in('#skF_19'(A_44,B_45,D_125),cartesian_product2(A_44,B_45))
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_352314,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2'))
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_352247,c_136]) ).
tff(c_352384,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_352314]) ).
tff(c_502921,plain,
'#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_498903,c_352384]) ).
tff(c_144,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| in('#skF_19'(A_44,B_45,D_125),cartesian_product2(A_44,B_45))
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_352311,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2'))
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_352247,c_144]) ).
tff(c_352382,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_352311]) ).
tff(c_502916,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_498903,c_352382]) ).
tff(c_352317,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2'))
| ~ in('#skF_6'('#skF_18'('#skF_1','#skF_2')),'#skF_18'('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_352247,c_152]) ).
tff(c_352386,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_351042,c_352317]) ).
tff(c_502922,plain,
( ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| in('#skF_6'('#skF_18'('#skF_1','#skF_2')),cartesian_product2('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_502916,c_352386]) ).
tff(c_502923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_498903,c_502921,c_502922]) ).
tff(c_502925,plain,
'#skF_19'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) != '#skF_6'('#skF_18'('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_351188]) ).
tff(c_118,plain,
! [A_44,B_45,D_125] :
( ( '#skF_13'(A_44,B_45) != '#skF_12'(A_44,B_45) )
| ( '#skF_19'(A_44,B_45,D_125) = D_125 )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351186,plain,
( ( '#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2') )
| ( '#skF_19'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) = '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(resolution,[status(thm)],[c_351042,c_118]) ).
tff(c_503991,plain,
'#skF_13'('#skF_1','#skF_2') != '#skF_12'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_502925,c_351186]) ).
tff(c_134,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_12'(A_44,B_45) )
| ( '#skF_19'(A_44,B_45,D_125) = D_125 )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351184,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ( '#skF_19'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) = '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(resolution,[status(thm)],[c_351042,c_134]) ).
tff(c_503992,plain,
'#skF_11'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_502925,c_351184]) ).
tff(c_126,plain,
! [A_44,B_45,D_125] :
( ( '#skF_11'(A_44,B_45) = '#skF_13'(A_44,B_45) )
| ( '#skF_19'(A_44,B_45,D_125) = D_125 )
| ~ in(D_125,'#skF_18'(A_44,B_45)) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_351185,plain,
( ( '#skF_11'('#skF_1','#skF_2') = '#skF_13'('#skF_1','#skF_2') )
| ( '#skF_19'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) = '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(resolution,[status(thm)],[c_351042,c_126]) ).
tff(c_503997,plain,
( ( '#skF_13'('#skF_1','#skF_2') = '#skF_12'('#skF_1','#skF_2') )
| ( '#skF_19'('#skF_1','#skF_2','#skF_6'('#skF_18'('#skF_1','#skF_2'))) = '#skF_6'('#skF_18'('#skF_1','#skF_2')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_503992,c_351185]) ).
tff(c_503998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_502925,c_503991,c_503997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 12:10:10 EDT 2023
% 0.15/0.36 % CPUTime :
% 269.94/208.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 270.08/208.65
% 270.08/208.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 270.08/208.71
% 270.08/208.71 Inference rules
% 270.08/208.71 ----------------------
% 270.08/208.71 #Ref : 1
% 270.08/208.71 #Sup : 122158
% 270.08/208.71 #Fact : 0
% 270.08/208.71 #Define : 0
% 270.08/208.71 #Split : 37
% 270.08/208.71 #Chain : 0
% 270.08/208.71 #Close : 0
% 270.08/208.71
% 270.08/208.71 Ordering : KBO
% 270.08/208.71
% 270.08/208.71 Simplification rules
% 270.08/208.71 ----------------------
% 270.08/208.71 #Subsume : 6089
% 270.08/208.71 #Demod : 19806
% 270.08/208.71 #Tautology : 71909
% 270.08/208.71 #SimpNegUnit : 1820
% 270.08/208.71 #BackRed : 20
% 270.08/208.71
% 270.08/208.71 #Partial instantiations: 0
% 270.08/208.71 #Strategies tried : 1
% 270.08/208.71
% 270.08/208.71 Timing (in seconds)
% 270.08/208.71 ----------------------
% 270.41/208.72 Preprocessing : 0.61
% 270.41/208.72 Parsing : 0.27
% 270.41/208.72 CNF conversion : 0.06
% 270.41/208.72 Main loop : 206.90
% 270.41/208.72 Inferencing : 45.32
% 270.41/208.72 Reduction : 40.08
% 270.41/208.72 Demodulation : 27.63
% 270.41/208.72 BG Simplification : 2.92
% 270.41/208.72 Subsumption : 101.84
% 270.41/208.72 Abstraction : 6.06
% 270.41/208.72 MUC search : 0.00
% 270.41/208.72 Cooper : 0.00
% 270.41/208.72 Total : 207.63
% 270.41/208.72 Index Insertion : 0.00
% 270.41/208.72 Index Deletion : 0.00
% 270.41/208.72 Index Matching : 0.00
% 270.41/208.72 BG Taut test : 0.00
%------------------------------------------------------------------------------