%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYO844+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 : 600s
% DateTime : Thu Jul 21 15:31:56 EDT 2022
% Result : CounterSatisfiable 15.43s 3.30s
% Output : Saturation 15.43s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
( ain(X1,X2)
| ain(X1,asm(X3,X2))
| ~ ain(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_3) ).
cnf(i_0_57,plain,
asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a2)) = aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_57) ).
cnf(i_0_5,plain,
( ain(X1,X2)
| ~ ain(X1,asm(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_5) ).
cnf(i_0_58,plain,
asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))) = apow(a2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_58) ).
cnf(i_0_61,plain,
asm(asm(a4,apow(asing(a2))),asing(a3)) = asm(apow(a2),apow(asing(a1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_61) ).
cnf(i_0_62,plain,
asm(a4,apow(asing(a2))) = asm(a4,asing(a0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_62) ).
cnf(i_0_14,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,X4)
| ~ aal4(X4)
| ~ ain(X3,X1)
| ~ asubq(X4,aun(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_14) ).
cnf(i_0_16,plain,
( asubq(a1,X1)
| ~ ain(a0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_16) ).
cnf(i_0_7,plain,
( ain(X1,X2)
| ain(X1,X3)
| ~ ain(X1,aun(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_7) ).
cnf(i_0_17,plain,
ain(a0,apow(a2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_17) ).
cnf(i_0_4,plain,
( ~ ain(X1,X2)
| ~ ain(X1,asm(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_4) ).
cnf(i_0_56,plain,
asm(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))),asing(a0)) = aun(asing(asing(a1)),asing(asing(asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_56) ).
cnf(i_0_43,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_43) ).
cnf(i_0_55,plain,
asm(apow(a2),asing(asing(a1))) = a3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_55) ).
cnf(i_0_29,plain,
ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_29) ).
cnf(i_0_1,plain,
( ain(X1,apow(X2))
| ~ asubq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_1) ).
cnf(i_0_9,plain,
( asubq(aun(X1,X2),X3)
| ~ asubq(X2,X3)
| ~ asubq(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_9) ).
cnf(i_0_24,plain,
( X1 = apow(asing(a1))
| ~ ain(a0,X1)
| ~ ain(asing(a1),X1)
| ~ asubq(X1,apow(asing(a1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_24) ).
cnf(i_0_44,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_44) ).
cnf(i_0_33,plain,
ain(asing(a2),aun(asing(a2),apow(asing(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_33) ).
cnf(i_0_38,plain,
ain(a3,aun(apow(asing(a2)),asing(a3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_38) ).
cnf(i_0_84,plain,
( ain(X1,asing(asing(a2)))
| ain(X1,aun(a3,asing(apow(a2))))
| ~ ain(X1,apow(asing(a2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_84) ).
cnf(i_0_37,plain,
ain(a2,asm(a4,apow(asing(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_37) ).
cnf(i_0_19,plain,
~ ain(asing(a1),asing(a2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_19) ).
cnf(i_0_18,plain,
~ ain(a1,apow(asing(a1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_18) ).
cnf(i_0_52,plain,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_52) ).
cnf(i_0_31,plain,
ain(a0,asm(a4,asing(a1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_31) ).
cnf(i_0_54,plain,
asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_54) ).
cnf(i_0_87,negated_conjecture,
asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_87) ).
cnf(i_0_48,plain,
asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_48) ).
cnf(i_0_51,plain,
( X1 = asing(a1)
| ain(X1,a2)
| ~ ain(X1,asm(apow(a2),asing(a2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_51) ).
cnf(i_0_20,plain,
asubq(asing(a1),aun(asing(a1),asing(asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_20) ).
cnf(i_0_23,plain,
~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_23) ).
cnf(i_0_28,plain,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_28) ).
cnf(i_0_39,plain,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_39) ).
cnf(i_0_40,plain,
ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_40) ).
cnf(i_0_49,plain,
~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_49) ).
cnf(i_0_47,plain,
asubq(a3,aun(a3,asing(apow(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_47) ).
cnf(i_0_53,plain,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_53) ).
cnf(i_0_2,plain,
( asubq(X1,X2)
| ~ ain(X1,apow(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_2) ).
cnf(i_0_34,plain,
ain(a0,aun(a1,asing(a3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_34) ).
cnf(i_0_59,plain,
( X1 = a3
| ain(X1,asing(a2))
| ~ ain(X1,asm(a4,a2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_59) ).
cnf(i_0_46,plain,
asubq(a3,aun(a3,asing(apow(asing(a1))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_46) ).
cnf(i_0_45,plain,
~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_45) ).
cnf(i_0_26,plain,
~ ain(a3,asm(apow(a2),asing(a1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_26) ).
cnf(i_0_60,plain,
( X1 = a0
| ain(X1,asm(a4,a2))
| ~ ain(X1,asm(a4,asing(a1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_60) ).
cnf(i_0_13,plain,
( aal2(X1)
| aal2(X2)
| ~ aal3(aun(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_13) ).
cnf(i_0_21,plain,
~ ain(asm(a3,asing(a1)),asing(asing(a1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_21) ).
cnf(i_0_22,plain,
asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_22) ).
cnf(i_0_85,plain,
asubq(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),aun(a3,asing(apow(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_85) ).
cnf(i_0_63,plain,
asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_63) ).
cnf(i_0_73,plain,
( X1 != a1
| ~ aal5(asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_73) ).
cnf(i_0_74,plain,
~ aal6(aun(asing(apow(asing(a1))),a4)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_74) ).
cnf(i_0_12,plain,
( aal6(aun(X1,X2))
| ~ aal2(X2)
| ~ aal4(X1)
| ~ adisjoint(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_12) ).
cnf(i_0_11,plain,
( aal6(aun(X1,X2))
| ~ aal2(X1)
| ~ aal4(X2)
| ~ adisjoint(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_11) ).
cnf(i_0_41,plain,
ain(a3,aun(asing(asing(a2)),a4)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_41) ).
cnf(i_0_15,plain,
~ asubq(a2,a1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_15) ).
cnf(i_0_66,plain,
asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_66) ).
cnf(i_0_50,plain,
asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_50) ).
cnf(i_0_64,plain,
asubq(asm(apow(a2),apow(asing(a1))),a4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_64) ).
cnf(i_0_86,plain,
( ~ ain(X1,apow(asing(a2)))
| ~ aal5(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_86) ).
cnf(i_0_65,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ ain(X1,aun(asing(asing(a1)),aun(asing(asing(a2)),a4)))
| ~ ain(X1,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_65) ).
cnf(i_0_83,plain,
( ain(X1,asing(a1))
| ain(X1,aun(apow(asing(a2)),asing(a3)))
| ~ ain(X1,a4)
| ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_83) ).
cnf(i_0_69,plain,
( ~ ain(X1,asm(apow(a2),asing(a2)))
| ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_69) ).
cnf(i_0_30,plain,
~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_30) ).
cnf(i_0_72,plain,
~ aal5(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_72) ).
cnf(i_0_32,plain,
~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_32) ).
cnf(i_0_36,plain,
~ ain(a0,aun(asing(asing(a1)),asing(a3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_36) ).
cnf(i_0_35,plain,
~ ain(asm(apow(a2),a2),a4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_35) ).
cnf(i_0_27,plain,
asm(apow(a2),a2) != apow(a2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_27) ).
cnf(i_0_71,plain,
~ aal5(apow(a2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_71) ).
cnf(i_0_70,plain,
~ aal4(asm(apow(a2),apow(asing(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_70) ).
cnf(i_0_68,plain,
~ aal3(aun(a1,asing(a3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_68) ).
cnf(i_0_25,plain,
apow(asing(a1)) != a3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_25) ).
cnf(i_0_78,plain,
aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a2)),aun(a4,asing(apow(a2)))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_78) ).
cnf(i_0_82,plain,
aex3(asm(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_82) ).
cnf(i_0_77,plain,
aex3(aun(asing(asing(asing(a1))),aun(a1,asing(apow(a2))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_77) ).
cnf(i_0_75,plain,
aal4(aun(a3,asing(asm(apow(a2),a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_75) ).
cnf(i_0_80,plain,
aex5(aun(a4,asing(asm(apow(a2),a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_80) ).
cnf(i_0_81,plain,
aex4(asm(aun(a4,asing(apow(a2))),asing(a3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_81) ).
cnf(i_0_67,plain,
aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))) = asm(a3,asing(a1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_67) ).
cnf(i_0_79,plain,
aex5(aun(asing(apow(asing(a1))),a4)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_79) ).
cnf(i_0_42,plain,
ain(a2,aun(asing(asing(a2)),a4)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_42) ).
cnf(i_0_76,plain,
aex3(aun(a2,asing(apow(a2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f5acfrqa/input.p',i_0_76) ).
cnf(c_0_172,plain,
( ain(X1,X2)
| ain(X1,asm(X3,X2))
| ~ ain(X1,X3) ),
i_0_3,
[final] ).
cnf(c_0_173,plain,
asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a2)) = aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),
i_0_57,
[final] ).
cnf(c_0_174,plain,
( ain(X1,X2)
| ~ ain(X1,asm(X2,X3)) ),
i_0_5,
[final] ).
cnf(c_0_175,plain,
asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))) = apow(a2),
i_0_58,
[final] ).
cnf(c_0_176,plain,
asm(asm(a4,apow(asing(a2))),asing(a3)) = asm(apow(a2),apow(asing(a1))),
i_0_61 ).
cnf(c_0_177,plain,
asm(a4,apow(asing(a2))) = asm(a4,asing(a0)),
i_0_62,
[final] ).
cnf(c_0_178,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,X4)
| ~ aal4(X4)
| ~ ain(X3,X1)
| ~ asubq(X4,aun(X2,X1)) ),
i_0_14,
[final] ).
cnf(c_0_179,plain,
( asubq(a1,X1)
| ~ ain(a0,X1) ),
i_0_16,
[final] ).
cnf(c_0_180,plain,
( ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ain(X1,asing(a2))
| ~ ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]),
[final] ).
cnf(c_0_181,plain,
( ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]),
[final] ).
cnf(c_0_182,plain,
( ain(X1,X2)
| ain(X1,X3)
| ~ ain(X1,aun(X3,X2)) ),
i_0_7,
[final] ).
cnf(c_0_183,plain,
asm(asm(a4,asing(a0)),asing(a3)) = asm(apow(a2),apow(asing(a1))),
inference(rw,[status(thm)],[c_0_176,c_0_177]),
[final] ).
cnf(c_0_184,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,a1)
| ~ aal4(a1)
| ~ ain(a0,aun(X1,X2))
| ~ ain(X3,X2) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]),
[final] ).
cnf(c_0_185,plain,
( ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ain(X1,asing(a2))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]),
[final] ).
cnf(c_0_186,plain,
ain(a0,apow(a2)),
i_0_17,
[final] ).
cnf(c_0_187,plain,
( ~ ain(X1,X2)
| ~ ain(X1,asm(X3,X2)) ),
i_0_4,
[final] ).
cnf(c_0_188,plain,
( ain(X1,asm(apow(a2),apow(asing(a2))))
| ain(X1,apow(asing(asing(a1))))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_181]),
[final] ).
cnf(c_0_189,plain,
asm(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))),asing(a0)) = aun(asing(asing(a1)),asing(asing(asing(a1)))),
i_0_56,
[final] ).
cnf(c_0_190,plain,
( ain(X1,asm(apow(a2),apow(asing(a1))))
| ain(X1,asing(a3))
| ~ ain(X1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_172,c_0_183]),
[final] ).
cnf(c_0_191,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
i_0_43,
[final] ).
cnf(c_0_192,plain,
( ain(X1,asm(a4,asing(a0)))
| ~ ain(X1,asm(apow(a2),apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_174,c_0_183]),
[final] ).
cnf(c_0_193,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186])]),
[final] ).
cnf(c_0_194,plain,
( ain(X1,apow(asing(asing(a1))))
| ~ ain(X1,apow(asing(a2)))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]),
[final] ).
cnf(c_0_195,plain,
( ain(X1,asm(a4,asing(a0)))
| ain(X1,apow(asing(a2)))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_172,c_0_177]),
[final] ).
cnf(c_0_196,plain,
asm(apow(a2),asing(asing(a1))) = a3,
i_0_55,
[final] ).
cnf(c_0_197,plain,
( ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(X1,asing(a0))
| ~ ain(X1,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ),
inference(spm,[status(thm)],[c_0_172,c_0_189]),
[final] ).
cnf(c_0_198,plain,
ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
i_0_29,
[final] ).
cnf(c_0_199,plain,
( ain(X1,asing(a3))
| ~ ain(X1,asm(a4,asing(a0)))
| ~ ain(X1,apow(asing(a1))) ),
inference(spm,[status(thm)],[c_0_187,c_0_190]),
[final] ).
cnf(c_0_200,plain,
( ain(X1,apow(X2))
| ~ asubq(X1,X2) ),
i_0_1,
[final] ).
cnf(c_0_201,plain,
( asubq(aun(X1,X2),X3)
| ~ asubq(X2,X3)
| ~ asubq(X1,X3) ),
i_0_9,
[final] ).
cnf(c_0_202,plain,
( X1 = apow(asing(a1))
| ~ ain(a0,X1)
| ~ ain(asing(a1),X1)
| ~ asubq(X1,apow(asing(a1))) ),
i_0_24,
[final] ).
cnf(c_0_203,plain,
( ain(a1,aun(asing(asing(a2)),asing(apow(a2))))
| ain(a1,asm(apow(a2),apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_182,c_0_191]),
[final] ).
cnf(c_0_204,plain,
( ~ ain(X1,asm(a4,asing(a0)))
| ~ ain(X1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_187,c_0_177]),
[final] ).
cnf(c_0_205,plain,
( ain(X1,asm(a4,asing(a0)))
| ain(X1,apow(asing(a1)))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_192,c_0_172]),
[final] ).
cnf(c_0_206,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
i_0_44,
[final] ).
cnf(c_0_207,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(asing(a2)))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]),
[final] ).
cnf(c_0_208,plain,
( ain(X1,apow(asing(a2)))
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_187,c_0_195]),
[final] ).
cnf(c_0_209,plain,
ain(asing(a2),aun(asing(a2),apow(asing(a2)))),
i_0_33,
[final] ).
cnf(c_0_210,plain,
ain(a3,aun(apow(asing(a2)),asing(a3))),
i_0_38,
[final] ).
cnf(c_0_211,plain,
( ~ ain(X1,asing(asing(asing(a1))))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_187,c_0_175]),
[final] ).
cnf(c_0_212,plain,
( ain(X1,apow(a2))
| ~ ain(X1,a3) ),
inference(spm,[status(thm)],[c_0_174,c_0_196]),
[final] ).
cnf(c_0_213,plain,
( ain(asing(asing(a1)),aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(asing(asing(a1)),asing(a0)) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]),
[final] ).
cnf(c_0_214,plain,
( ain(X1,asing(asing(a2)))
| ain(X1,aun(a3,asing(apow(a2))))
| ~ ain(X1,apow(asing(a2))) ),
i_0_84,
[final] ).
cnf(c_0_215,plain,
( ain(X1,apow(asing(a2)))
| ain(X1,asing(a3))
| ~ ain(X1,apow(asing(a1)))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_199,c_0_195]),
[final] ).
cnf(c_0_216,plain,
( ain(aun(X1,X2),apow(X3))
| ~ asubq(X2,X3)
| ~ asubq(X1,X3) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]),
[final] ).
cnf(c_0_217,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_181]),c_0_186])]),
[final] ).
cnf(c_0_218,plain,
( ain(X1,aun(asing(a1),asing(asing(a1))))
| ain(X1,apow(asing(asing(a1))))
| ain(X1,asing(a2))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_185]),
[final] ).
cnf(c_0_219,plain,
( ain(X1,asing(a3))
| ain(X1,apow(a2))
| ~ ain(X1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_174,c_0_190]),
[final] ).
cnf(c_0_220,plain,
ain(a2,asm(a4,apow(asing(a2)))),
i_0_37 ).
cnf(c_0_221,plain,
( aun(X1,X2) = apow(asing(a1))
| ~ asubq(X2,apow(asing(a1)))
| ~ asubq(X1,apow(asing(a1)))
| ~ ain(asing(a1),aun(X1,X2))
| ~ ain(a0,aun(X1,X2)) ),
inference(spm,[status(thm)],[c_0_202,c_0_201]),
[final] ).
cnf(c_0_222,plain,
~ ain(asing(a1),asing(a2)),
i_0_19,
[final] ).
cnf(c_0_223,plain,
( ain(a1,aun(asing(asing(a2)),asing(apow(a2))))
| ain(a1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_192,c_0_203]),
[final] ).
cnf(c_0_224,plain,
~ ain(a1,apow(asing(a1))),
i_0_18,
[final] ).
cnf(c_0_225,plain,
( ain(X1,apow(asing(a1)))
| ~ ain(X1,apow(asing(a2)))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]),
[final] ).
cnf(c_0_226,plain,
( ~ ain(X1,asm(apow(a2),apow(asing(a1))))
| ~ ain(X1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_187,c_0_183]),
[final] ).
cnf(c_0_227,plain,
( ain(a1,aun(apow(asing(a2)),asing(apow(a2))))
| ain(a1,asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_182,c_0_206]),
[final] ).
cnf(c_0_228,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(a2))
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]),
[final] ).
cnf(c_0_229,plain,
( ain(X1,asing(a0))
| ~ ain(X1,apow(asing(a2)))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_204,c_0_172]),
[final] ).
cnf(c_0_230,plain,
( ain(asing(a2),apow(asing(a2)))
| ain(asing(a2),asing(a2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_209]),
[final] ).
cnf(c_0_231,plain,
( ain(a3,apow(asing(a2)))
| ain(a3,asing(a3)) ),
inference(spm,[status(thm)],[c_0_182,c_0_210]),
[final] ).
cnf(c_0_232,plain,
( ~ ain(X1,asing(asing(asing(a1))))
| ~ ain(X1,a3) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]),
[final] ).
cnf(c_0_233,plain,
( ain(asing(asing(a1)),asing(asing(asing(a1))))
| ain(asing(asing(a1)),asing(asing(a1)))
| ain(asing(asing(a1)),asing(a0)) ),
inference(spm,[status(thm)],[c_0_182,c_0_213]),
[final] ).
cnf(c_0_234,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ ain(X1,a3) ),
inference(spm,[status(thm)],[c_0_187,c_0_196]),
[final] ).
cnf(c_0_235,plain,
( ain(X1,asing(asing(a2)))
| ain(X1,asing(apow(a2)))
| ain(X1,a3)
| ~ ain(X1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_182,c_0_214]),
[final] ).
cnf(c_0_236,plain,
( ain(aun(X1,X2),apow(asing(a2)))
| ain(aun(X1,X2),asing(a3))
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]),
[final] ).
cnf(c_0_237,plain,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
i_0_52,
[final] ).
cnf(c_0_238,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(asing(a2)))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_217,c_0_194]),
[final] ).
cnf(c_0_239,plain,
ain(a0,asm(a4,asing(a1))),
i_0_31,
[final] ).
cnf(c_0_240,plain,
( ain(X1,apow(asing(asing(a1))))
| ain(X1,asing(asing(a1)))
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_218]),
[final] ).
cnf(c_0_241,plain,
( ain(a1,apow(X1))
| ~ ain(a0,X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_179]),
[final] ).
cnf(c_0_242,plain,
( ain(X1,asing(a0))
| ain(X1,apow(a2))
| ain(X1,asing(a3))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_219,c_0_172]),
[final] ).
cnf(c_0_243,plain,
ain(a2,asm(a4,asing(a0))),
inference(rw,[status(thm)],[c_0_220,c_0_177]),
[final] ).
cnf(c_0_244,plain,
asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))),
i_0_54,
[final] ).
cnf(c_0_245,plain,
( ain(X1,apow(asing(a2)))
| ain(X1,apow(a2))
| ain(X1,asing(a3))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_219,c_0_195]),
[final] ).
cnf(c_0_246,negated_conjecture,
asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
i_0_87,
[final] ).
cnf(c_0_247,plain,
( aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(a0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ ain(asing(a1),apow(a2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_185]),c_0_222]),
[final] ).
cnf(c_0_248,plain,
( ain(a1,asm(a4,asing(a0)))
| ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_182,c_0_223]),
[final] ).
cnf(c_0_249,plain,
( ~ ain(a1,apow(asing(a2)))
| ~ ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]),
[final] ).
cnf(c_0_250,plain,
( ain(X1,apow(asing(a1)))
| ~ ain(X1,asing(a0))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_187,c_0_205]),
[final] ).
cnf(c_0_251,plain,
( ain(X1,apow(asing(a1)))
| ~ ain(X1,asing(a3))
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_226,c_0_172]),
[final] ).
cnf(c_0_252,plain,
( ain(a1,aun(apow(asing(a2)),asing(apow(a2))))
| ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_174,c_0_227]),
[final] ).
cnf(c_0_253,plain,
( ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_174,c_0_173]),
[final] ).
cnf(c_0_254,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,aun(X4,X5))
| ~ aal4(aun(X4,X5))
| ~ asubq(X5,aun(X1,X2))
| ~ asubq(X4,aun(X1,X2))
| ~ ain(X3,X2) ),
inference(spm,[status(thm)],[c_0_178,c_0_201]),
[final] ).
cnf(c_0_255,plain,
asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
i_0_48,
[final] ).
cnf(c_0_256,plain,
( X1 = asing(a1)
| ain(X1,a2)
| ~ ain(X1,asm(apow(a2),asing(a2))) ),
i_0_51,
[final] ).
cnf(c_0_257,plain,
asubq(asing(a1),aun(asing(a1),asing(asing(a1)))),
i_0_20,
[final] ).
cnf(c_0_258,plain,
~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))),
i_0_23,
[final] ).
cnf(c_0_259,plain,
( ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ ain(X1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_187,c_0_189]),
[final] ).
cnf(c_0_260,plain,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
i_0_28,
[final] ).
cnf(c_0_261,plain,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
i_0_39,
[final] ).
cnf(c_0_262,plain,
ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
i_0_40,
[final] ).
cnf(c_0_263,plain,
~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))),
i_0_49,
[final] ).
cnf(c_0_264,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4)
| ~ ain(X1,a3) ),
inference(spm,[status(thm)],[c_0_228,c_0_212]),
[final] ).
cnf(c_0_265,plain,
( ain(asing(a2),asing(a2))
| ain(asing(a2),asing(a0))
| ~ ain(asing(a2),a4) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]),
[final] ).
cnf(c_0_266,plain,
( ain(a3,asing(a3))
| ain(a3,asing(a0))
| ~ ain(a3,a4) ),
inference(spm,[status(thm)],[c_0_229,c_0_231]),
[final] ).
cnf(c_0_267,plain,
( ain(asing(asing(a1)),asing(a0))
| ~ ain(asing(asing(a1)),a3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),
[final] ).
cnf(c_0_268,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a0,asing(asing(a2)))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2)))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_184,c_0_214]),
[final] ).
cnf(c_0_269,plain,
( ain(aun(X1,X2),asing(apow(a2)))
| ain(aun(X1,X2),asing(asing(a2)))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),a3)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]),
[final] ).
cnf(c_0_270,plain,
ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(asing(a2))),
inference(spm,[status(thm)],[c_0_200,c_0_237]),
[final] ).
cnf(c_0_271,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(a2))
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_238,c_0_208]),
[final] ).
cnf(c_0_272,plain,
ain(a0,a4),
inference(spm,[status(thm)],[c_0_174,c_0_239]),
[final] ).
cnf(c_0_273,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(X1,asing(asing(a1)))
| ain(a0,asing(a2))
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_193,c_0_240]),
[final] ).
cnf(c_0_274,plain,
~ ain(a0,asing(a1)),
inference(spm,[status(thm)],[c_0_224,c_0_241]),
[final] ).
cnf(c_0_275,plain,
asubq(a3,aun(a3,asing(apow(a2)))),
i_0_47,
[final] ).
cnf(c_0_276,plain,
( ain(X1,asing(a3))
| ain(X1,asing(a0))
| ~ ain(X1,asing(asing(asing(a1))))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_211,c_0_242]),
[final] ).
cnf(c_0_277,plain,
( ain(a2,apow(a2))
| ain(a2,asing(a3)) ),
inference(spm,[status(thm)],[c_0_219,c_0_243]),
[final] ).
cnf(c_0_278,plain,
( ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(X1,asing(aun(asing(a1),asing(asing(a1)))))
| ain(X1,asing(a0))
| ~ ain(X1,apow(aun(asing(a1),asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_197,c_0_172]),
[final] ).
cnf(c_0_279,plain,
ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_200,c_0_244]),
[final] ).
cnf(c_0_280,plain,
( ain(X1,asing(apow(a2)))
| ain(X1,asing(asing(a2)))
| ain(X1,asing(a3))
| ain(X1,apow(a2))
| ~ ain(X1,a4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_245]),c_0_212]),
[final] ).
cnf(c_0_281,plain,
ain(asm(apow(a2),asing(a2)),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_200,c_0_246]),
[final] ).
cnf(c_0_282,plain,
( aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
| ain(a0,asing(a2))
| ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(asing(a1),apow(a2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_185]),c_0_186])]),
[final] ).
cnf(c_0_283,plain,
( ain(a1,asing(apow(a2)))
| ain(a1,asing(asing(a2)))
| ~ ain(a1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_204,c_0_248]),
[final] ).
cnf(c_0_284,plain,
( ~ ain(a1,apow(a2))
| ~ ain(a0,asing(a2)) ),
inference(spm,[status(thm)],[c_0_249,c_0_241]),
[final] ).
cnf(c_0_285,plain,
( ain(X1,asing(apow(a2)))
| ain(X1,asing(asing(a2)))
| ain(X1,a3)
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_235,c_0_208]),
[final] ).
cnf(c_0_286,plain,
( ain(aun(X1,X2),asing(apow(a2)))
| ain(aun(X1,X2),asing(asing(a2)))
| ain(aun(X1,X2),a3)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2)) ),
inference(spm,[status(thm)],[c_0_235,c_0_216]),
[final] ).
cnf(c_0_287,plain,
( ain(a1,aun(asing(asing(a2)),asing(apow(a2))))
| ~ ain(a1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_226,c_0_203]),
[final] ).
cnf(c_0_288,plain,
( ~ ain(a1,asing(a0))
| ~ ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_224,c_0_250]),
[final] ).
cnf(c_0_289,plain,
( ain(X1,asing(asing(a1)))
| ain(X1,a3)
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_172,c_0_196]),
[final] ).
cnf(c_0_290,plain,
( ~ ain(a1,asing(a3))
| ~ ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_224,c_0_251]),
[final] ).
cnf(c_0_291,plain,
( ain(a1,apow(asing(a2)))
| ain(a1,asing(apow(a2)))
| ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_252]),
[final] ).
cnf(c_0_292,plain,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
i_0_53,
[final] ).
cnf(c_0_293,plain,
( aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(asing(a1),aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ ain(a0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_221,c_0_253]) ).
cnf(c_0_294,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,aun(X2,asm(apow(a2),apow(asing(a1)))))
| ~ aal4(aun(X2,asm(apow(a2),apow(asing(a1)))))
| ~ asubq(X2,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_254,c_0_255]),
[final] ).
cnf(c_0_295,plain,
( aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(a0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ ain(asing(a1),apow(a2)) ),
inference(spm,[status(thm)],[c_0_221,c_0_181]) ).
cnf(c_0_296,plain,
( X1 = asing(a1)
| ain(X1,asing(a2))
| ain(X1,a2)
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_256,c_0_172]),
[final] ).
cnf(c_0_297,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(X2,asing(a1)))
| ~ aal4(aun(X2,asing(a1)))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_257]),
[final] ).
cnf(c_0_298,plain,
( asubq(X1,X2)
| ~ ain(X1,apow(X2)) ),
i_0_2,
[final] ).
cnf(c_0_299,plain,
( ain(X1,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))))
| ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_174,c_0_189]),
[final] ).
cnf(c_0_300,plain,
( ain(a1,aun(asing(asing(a2)),asing(apow(a2))))
| ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_174,c_0_203]),
[final] ).
cnf(c_0_301,plain,
ain(a0,aun(a1,asing(a3))),
i_0_34,
[final] ).
cnf(c_0_302,plain,
( ain(asing(a1),asing(a3))
| ~ ain(asing(a1),asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_258,c_0_190]),
[final] ).
cnf(c_0_303,plain,
~ ain(asing(a1),asing(a0)),
inference(spm,[status(thm)],[c_0_259,c_0_260]),
[final] ).
cnf(c_0_304,plain,
( X1 = a3
| ain(X1,asing(a2))
| ~ ain(X1,asm(a4,a2)) ),
i_0_59,
[final] ).
cnf(c_0_305,plain,
asubq(a3,aun(a3,asing(apow(asing(a1))))),
i_0_46,
[final] ).
cnf(c_0_306,plain,
~ ain(a1,asm(apow(a2),asing(a1))),
inference(spm,[status(thm)],[c_0_187,c_0_261]),
[final] ).
cnf(c_0_307,plain,
~ ain(asing(a2),asm(apow(a2),asing(a1))),
inference(spm,[status(thm)],[c_0_187,c_0_262]),
[final] ).
cnf(c_0_308,plain,
( ain(X1,apow(asing(a1)))
| ain(X1,a4)
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_174,c_0_205]),
[final] ).
cnf(c_0_309,plain,
( ~ asubq(aun(a4,asing(apow(a2))),aun(a4,asing(apow(a2))))
| ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_263,c_0_201]),
[final] ).
cnf(c_0_310,plain,
~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3),
i_0_45,
[final] ).
cnf(c_0_311,plain,
~ ain(a3,asm(apow(a2),asing(a1))),
i_0_26,
[final] ).
cnf(c_0_312,plain,
( X1 = a0
| ain(X1,asm(a4,a2))
| ~ ain(X1,asm(a4,asing(a1))) ),
i_0_60,
[final] ).
cnf(c_0_313,plain,
( aal2(X1)
| aal2(X2)
| ~ aal3(aun(X2,X1)) ),
i_0_13,
[final] ).
cnf(c_0_314,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(asing(a2),asing(a2))
| ain(asing(a2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ ain(asing(a2),a4)
| ~ ain(asing(a2),a3) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]),
[final] ).
cnf(c_0_315,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a3,asing(a3))
| ain(a0,asing(a2))
| ain(a3,a1)
| ~ aal4(a1)
| ~ ain(a3,a4)
| ~ ain(a3,a3) ),
inference(spm,[status(thm)],[c_0_264,c_0_266]),
[final] ).
cnf(c_0_316,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(asing(asing(a1)),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ ain(asing(asing(a1)),a4)
| ~ ain(asing(asing(a1)),a3) ),
inference(spm,[status(thm)],[c_0_264,c_0_267]),
[final] ).
cnf(c_0_317,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(aun(X1,X2),asing(asing(a2)))
| ain(aun(X1,X2),asing(a3))
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(a0,apow(asing(a2)))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]),
[final] ).
cnf(c_0_318,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(a2)) ),
inference(spm,[status(thm)],[c_0_207,c_0_270]),
[final] ).
cnf(c_0_319,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a3,asing(a3))
| ain(a0,asing(a2))
| ain(a3,a1)
| ~ aal4(a1)
| ~ ain(a3,apow(a2)) ),
inference(spm,[status(thm)],[c_0_207,c_0_231]),
[final] ).
cnf(c_0_320,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4)
| ~ ain(X1,a3) ),
inference(spm,[status(thm)],[c_0_271,c_0_212]),
[final] ).
cnf(c_0_321,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),apow(a2))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_207,c_0_236]),
[final] ).
cnf(c_0_322,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ ain(aun(X1,X2),apow(a2)) ),
inference(spm,[status(thm)],[c_0_207,c_0_216]),
[final] ).
cnf(c_0_323,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),apow(a2))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_238,c_0_236]),
[final] ).
cnf(c_0_324,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(asing(a2),asing(a2))
| ain(asing(a2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ ain(asing(a2),apow(a2)) ),
inference(spm,[status(thm)],[c_0_207,c_0_230]),
[final] ).
cnf(c_0_325,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(a0,a1)
| ~ aal4(a1)
| ~ ain(a0,asing(a0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_186]),c_0_272])]),
[final] ).
cnf(c_0_326,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| ~ aal4(a1)
| ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(a2)) ),
inference(spm,[status(thm)],[c_0_238,c_0_270]),
[final] ).
cnf(c_0_327,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(asing(a1)))
| ain(a0,asing(a2))
| ain(a0,a1)
| ~ aal4(a1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_186]),c_0_274]),
[final] ).
cnf(c_0_328,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ ain(aun(X1,X2),apow(a2)) ),
inference(spm,[status(thm)],[c_0_238,c_0_216]),
[final] ).
cnf(c_0_329,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,a3)
| ~ aal4(a3)
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_178,c_0_275]),
[final] ).
cnf(c_0_330,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,asing(a1))
| ~ aal4(asing(a1))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_178,c_0_257]),
[final] ).
cnf(c_0_331,plain,
( ain(asing(asing(a1)),asing(asing(a1)))
| ain(asing(asing(a1)),asing(a0))
| ain(asing(asing(a1)),asing(a3))
| ~ ain(asing(asing(a1)),a4) ),
inference(spm,[status(thm)],[c_0_276,c_0_233]),
[final] ).
cnf(c_0_332,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a0,apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,asing(asing(a1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_218]),c_0_186])]),
[final] ).
cnf(c_0_333,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a2,asing(asing(a1)))
| ain(a2,asing(a3))
| ain(a2,asing(a2))
| ain(a2,asing(a1))
| ain(a0,asing(a2))
| ain(a2,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_273,c_0_277]),
[final] ).
cnf(c_0_334,plain,
( ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(aun(asing(a1),asing(asing(a1)))))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a0)) ),
inference(spm,[status(thm)],[c_0_278,c_0_279]),
[final] ).
cnf(c_0_335,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a0,asing(asing(a2)))
| ain(X1,asing(asing(a2)))
| ain(X1,apow(a2))
| ain(X1,asing(a3))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2)))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_268,c_0_280]),
[final] ).
cnf(c_0_336,plain,
( ain(a1,asing(apow(a2)))
| ain(a1,asing(asing(a2)))
| ~ ain(a1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_187,c_0_248]),
[final] ).
cnf(c_0_337,plain,
( ain(asm(apow(a2),asing(a2)),aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(asm(apow(a2),asing(a2)),asing(aun(asing(a1),asing(asing(a1)))))
| ain(asm(apow(a2),asing(a2)),asing(a0)) ),
inference(spm,[status(thm)],[c_0_278,c_0_281]),
[final] ).
cnf(c_0_338,plain,
( aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
| ain(a0,asing(a2))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ~ asubq(asing(a1),apow(asing(a1)))
| ~ ain(asing(a1),apow(a2)) ),
inference(spm,[status(thm)],[c_0_282,c_0_201]),
[final] ).
cnf(c_0_339,plain,
( ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2)))
| ~ ain(a0,asing(a2)) ),
inference(spm,[status(thm)],[c_0_283,c_0_241]),
[final] ).
cnf(c_0_340,plain,
( ~ ain(a0,asing(a2))
| ~ ain(a1,a3) ),
inference(spm,[status(thm)],[c_0_284,c_0_212]),
[final] ).
cnf(c_0_341,plain,
( ain(aun(X1,X2),aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(aun(X1,X2),asing(aun(asing(a1),asing(asing(a1)))))
| ain(aun(X1,X2),asing(a0))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ asubq(X1,aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_278,c_0_216]),
[final] ).
cnf(c_0_342,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a0,asing(asing(a2)))
| ain(X1,asing(asing(a2)))
| ain(X1,a3)
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2)))
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_268,c_0_285]),
[final] ).
cnf(c_0_343,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(aun(X1,X2),asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ ain(a0,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_268,c_0_286]),
[final] ).
cnf(c_0_344,plain,
( ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2)))
| ~ ain(a1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_182,c_0_287]),
[final] ).
cnf(c_0_345,plain,
( ~ ain(a1,asing(a0))
| ~ ain(a1,a3) ),
inference(spm,[status(thm)],[c_0_288,c_0_212]),
[final] ).
cnf(c_0_346,plain,
( ain(X1,asing(asing(a1)))
| ain(X1,asing(a3))
| ain(X1,asing(a0))
| ain(X1,a3)
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_289,c_0_242]),
[final] ).
cnf(c_0_347,plain,
( ~ ain(a1,asing(a3))
| ~ ain(a1,a3) ),
inference(spm,[status(thm)],[c_0_290,c_0_212]),
[final] ).
cnf(c_0_348,plain,
( ain(a1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(a1,asing(aun(asing(a1),asing(asing(a1)))))
| ain(a1,asing(a0))
| ~ ain(a0,aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_278,c_0_241]),
[final] ).
cnf(c_0_349,plain,
( ain(a2,asing(asing(a1)))
| ain(a2,asing(a3))
| ain(a2,a3) ),
inference(spm,[status(thm)],[c_0_289,c_0_277]),
[final] ).
cnf(c_0_350,plain,
( ain(aun(X1,X2),asing(asing(a1)))
| ain(aun(X1,X2),a3)
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_289,c_0_216]),
[final] ).
cnf(c_0_351,plain,
( aun(asing(a1),asing(asing(a1))) = apow(asing(a1))
| ain(asing(a1),apow(asing(asing(a1))))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ~ asubq(asing(a1),apow(asing(a1)))
| ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ~ ain(asing(a1),apow(a2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_218]),c_0_222]),
[final] ).
cnf(c_0_352,plain,
( ain(a1,asing(apow(a2)))
| ain(a1,apow(a2))
| ain(a1,asing(a0))
| ~ ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_229,c_0_291]),
[final] ).
cnf(c_0_353,plain,
( ain(a1,asing(asing(a1)))
| ain(a1,a3)
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_289,c_0_241]),
[final] ).
cnf(c_0_354,plain,
( ~ ain(a0,asing(a2))
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_284,c_0_241]),
[final] ).
cnf(c_0_355,plain,
ain(asm(asm(apow(a2),a2),asing(a2)),apow(asing(asing(a1)))),
inference(spm,[status(thm)],[c_0_200,c_0_292]),
[final] ).
cnf(c_0_356,plain,
( aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(asing(a1),aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_181]),c_0_186])]),
[final] ).
cnf(c_0_357,plain,
~ ain(asm(a3,asing(a1)),asing(asing(a1))),
i_0_21,
[final] ).
cnf(c_0_358,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,asing(asing(a1)))
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_217,c_0_240]),
[final] ).
cnf(c_0_359,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,aun(a1,asm(apow(a2),apow(asing(a1)))))
| ~ aal4(aun(a1,asm(apow(a2),apow(asing(a1)))))
| ~ ain(a0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_294,c_0_179]) ).
cnf(c_0_360,plain,
( ain(a0,asing(asing(a1)))
| ain(a0,a3) ),
inference(spm,[status(thm)],[c_0_289,c_0_186]),
[final] ).
cnf(c_0_361,plain,
( aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(asing(a1),apow(a2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_181]),c_0_186])]),
[final] ).
cnf(c_0_362,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_193,c_0_241]),
[final] ).
cnf(c_0_363,plain,
( ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(apow(a2)))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(asing(a2)))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3) ),
inference(spm,[status(thm)],[c_0_235,c_0_270]),
[final] ).
cnf(c_0_364,plain,
( ain(a1,asing(a0))
| ~ ain(a0,asing(a2))
| ~ ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_229,c_0_241]),
[final] ).
cnf(c_0_365,plain,
( asing(a1) = a0
| ain(a0,asing(a2))
| ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_296,c_0_186]),
[final] ).
cnf(c_0_366,plain,
( ain(asing(a2),asing(apow(a2)))
| ain(asing(a2),asing(asing(a2)))
| ain(asing(a2),asing(a2))
| ain(asing(a2),a3) ),
inference(spm,[status(thm)],[c_0_235,c_0_230]),
[final] ).
cnf(c_0_367,plain,
( ain(a3,asing(apow(a2)))
| ain(a3,asing(asing(a2)))
| ain(a3,asing(a3))
| ain(a3,a3) ),
inference(spm,[status(thm)],[c_0_235,c_0_231]),
[final] ).
cnf(c_0_368,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(X2,asing(a1)))
| ~ aal4(aun(X2,asing(a1)))
| ~ ain(X2,apow(aun(asing(a1),asing(asing(a1)))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_297,c_0_298]),
[final] ).
cnf(c_0_369,plain,
( ain(X1,apow(aun(asing(a1),asing(asing(a1)))))
| ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_174,c_0_299]),
[final] ).
cnf(c_0_370,plain,
( ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2)))
| ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_300]),
[final] ).
cnf(c_0_371,plain,
( ain(a1,asing(apow(a2)))
| ain(a1,asing(asing(a2)))
| ain(a1,a3)
| ~ ain(a0,asing(a2)) ),
inference(spm,[status(thm)],[c_0_235,c_0_241]) ).
cnf(c_0_372,plain,
( ain(X1,asing(a0))
| ain(X1,asing(a3))
| ~ ain(X1,apow(asing(a1)))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_199,c_0_172]),
[final] ).
cnf(c_0_373,plain,
( aal3(asing(a3))
| aal3(a1)
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_184,c_0_301]),
[final] ).
cnf(c_0_374,plain,
( ain(asing(a1),asing(a3))
| ~ ain(asing(a1),a4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_172]),c_0_303]),
[final] ).
cnf(c_0_375,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,aun(X4,X5))
| ~ aal4(aun(X4,X5))
| ~ asubq(X4,aun(X2,X1))
| ~ ain(X5,apow(aun(X2,X1)))
| ~ ain(X3,X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_298]),
[final] ).
cnf(c_0_376,plain,
( apow(asing(a1)) = a1
| ~ ain(a0,apow(asing(a1)))
| ~ ain(asing(a1),a1)
| ~ ain(a0,a1) ),
inference(spm,[status(thm)],[c_0_202,c_0_179]),
[final] ).
cnf(c_0_377,plain,
asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))),
i_0_22,
[final] ).
cnf(c_0_378,plain,
( X1 = a3
| ain(X1,asing(a2))
| ain(X1,a2)
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_304,c_0_172]),
[final] ).
cnf(c_0_379,plain,
( aal3(asing(apow(asing(a1))))
| aal3(a3)
| ain(X1,aun(X2,a3))
| ~ aal4(aun(X2,a3))
| ~ asubq(X2,aun(a3,asing(apow(asing(a1)))))
| ~ ain(X1,asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_254,c_0_305]),
[final] ).
cnf(c_0_380,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,aun(X2,a3))
| ~ aal4(aun(X2,a3))
| ~ asubq(X2,aun(a3,asing(apow(a2))))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_254,c_0_275]),
[final] ).
cnf(c_0_381,plain,
asubq(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),aun(a3,asing(apow(a2)))),
i_0_85,
[final] ).
cnf(c_0_382,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,X4)
| ~ aal4(X4)
| ~ ain(X4,apow(aun(X1,X2)))
| ~ ain(X3,X2) ),
inference(spm,[status(thm)],[c_0_178,c_0_298]),
[final] ).
cnf(c_0_383,plain,
( ain(a1,asing(a1))
| ~ ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_306,c_0_172]),
[final] ).
cnf(c_0_384,plain,
( ain(asing(a2),asing(a1))
| ~ ain(asing(a2),apow(a2)) ),
inference(spm,[status(thm)],[c_0_307,c_0_172]),
[final] ).
cnf(c_0_385,plain,
( aun(a3,asing(apow(a2))) = apow(asing(a1))
| ain(asing(a1),asing(asing(a2)))
| ~ asubq(asing(apow(a2)),apow(asing(a1)))
| ~ asubq(a3,apow(asing(a1)))
| ~ ain(a0,aun(a3,asing(apow(a2))))
| ~ ain(asing(a1),apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_221,c_0_214]),
[final] ).
cnf(c_0_386,plain,
( ain(a1,a4)
| ~ ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_224,c_0_308]),
[final] ).
cnf(c_0_387,plain,
( ain(X1,asing(asing(asing(a1))))
| ain(X1,apow(a2))
| ~ ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_172,c_0_175]),
[final] ).
cnf(c_0_388,plain,
asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))),
i_0_63,
[final] ).
cnf(c_0_389,plain,
( X1 != a1
| ~ aal5(asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(X1))) ),
i_0_73,
[final] ).
cnf(c_0_390,plain,
ain(asing(a2),aun(asing(asing(a2)),a4)),
inference(spm,[status(thm)],[c_0_174,c_0_262]),
[final] ).
cnf(c_0_391,plain,
( ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2))))
| ~ asubq(asing(apow(a2)),aun(a4,asing(apow(a2))))
| ~ asubq(a4,aun(a4,asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_309,c_0_201]),
[final] ).
cnf(c_0_392,plain,
( asing(a1) = a2
| ain(a2,asing(a3))
| ain(a2,asing(a2))
| ain(a2,a2) ),
inference(spm,[status(thm)],[c_0_296,c_0_277]),
[final] ).
cnf(c_0_393,plain,
( ain(a0,asing(a3))
| ain(a0,a1) ),
inference(spm,[status(thm)],[c_0_182,c_0_301]),
[final] ).
cnf(c_0_394,plain,
( ~ asubq(asm(apow(a2),apow(asing(a1))),a3)
| ~ asubq(apow(asing(asing(a1))),a3) ),
inference(spm,[status(thm)],[c_0_310,c_0_201]),
[final] ).
cnf(c_0_395,plain,
ain(a1,aun(asing(asing(a2)),a4)),
inference(spm,[status(thm)],[c_0_174,c_0_261]),
[final] ).
cnf(c_0_396,plain,
~ aal6(aun(asing(apow(asing(a1))),a4)),
i_0_74,
[final] ).
cnf(c_0_397,plain,
( aal6(aun(X1,X2))
| ~ aal2(X2)
| ~ aal4(X1)
| ~ adisjoint(X1,X2) ),
i_0_12,
[final] ).
cnf(c_0_398,plain,
( ain(a3,asing(a1))
| ~ ain(a3,apow(a2)) ),
inference(spm,[status(thm)],[c_0_311,c_0_172]),
[final] ).
cnf(c_0_399,plain,
( aal6(aun(X1,X2))
| ~ aal2(X1)
| ~ aal4(X2)
| ~ adisjoint(X1,X2) ),
i_0_11,
[final] ).
cnf(c_0_400,plain,
( X1 = a0
| ain(X1,asm(a4,a2))
| ain(X1,asing(a1))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_312,c_0_172]),
[final] ).
cnf(c_0_401,plain,
ain(a3,aun(asing(asing(a2)),a4)),
i_0_41,
[final] ).
cnf(c_0_402,plain,
( ain(asing(a1),asing(asing(asing(a1))))
| ain(asing(a1),asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_182,c_0_260]),
[final] ).
cnf(c_0_403,plain,
( ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ ain(X1,asing(aun(asing(a1),asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_187,c_0_299]),
[final] ).
cnf(c_0_404,plain,
~ asubq(a2,a1),
i_0_15,
[final] ).
cnf(c_0_405,plain,
asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
i_0_66,
[final] ).
cnf(c_0_406,plain,
asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))),
i_0_50,
[final] ).
cnf(c_0_407,plain,
asubq(asm(apow(a2),apow(asing(a1))),a4),
i_0_64,
[final] ).
cnf(c_0_408,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(asing(a2),asing(a2))
| ain(a0,asing(a2))
| ain(asing(a2),a1)
| ~ aal4(a1)
| ~ ain(asing(a2),a4)
| ~ ain(asing(a2),a3) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]),
[final] ).
cnf(c_0_409,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(a3,asing(a3))
| ain(a3,a1)
| ~ aal4(a1)
| ~ ain(a3,a4)
| ~ ain(a3,a3) ),
inference(spm,[status(thm)],[c_0_313,c_0_315]),
[final] ).
cnf(c_0_410,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(asing(asing(a1)),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ ain(asing(asing(a1)),a4)
| ~ ain(asing(asing(a1)),a3) ),
inference(spm,[status(thm)],[c_0_313,c_0_316]),
[final] ).
cnf(c_0_411,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(aun(X1,X2),asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),a3)
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),a4)
| ~ ain(a0,asing(a0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_208]),c_0_272])]),
[final] ).
cnf(c_0_412,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ asubq(X2,a2)
| ~ asubq(X1,a2)
| ~ ain(aun(X1,X2),asing(a0))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_228,c_0_216]),
[final] ).
cnf(c_0_413,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3) ),
inference(spm,[status(thm)],[c_0_318,c_0_212]),
[final] ).
cnf(c_0_414,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(a3,asing(a3))
| ain(a3,a1)
| ~ aal4(a1)
| ~ ain(a3,apow(a2)) ),
inference(spm,[status(thm)],[c_0_313,c_0_319]),
[final] ).
cnf(c_0_415,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(asing(a2),asing(a2))
| ain(asing(a2),a1)
| ~ aal4(a1)
| ~ ain(asing(a2),a4)
| ~ ain(asing(a2),a3) ),
inference(spm,[status(thm)],[c_0_320,c_0_265]),
[final] ).
cnf(c_0_416,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(a3))
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,a2)
| ~ asubq(X1,a2)
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_321,c_0_216]),
[final] ).
cnf(c_0_417,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(a3))
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),a4)
| ~ ain(aun(X1,X2),a3) ),
inference(spm,[status(thm)],[c_0_321,c_0_212]),
[final] ).
cnf(c_0_418,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ ain(aun(X1,X2),a3) ),
inference(spm,[status(thm)],[c_0_322,c_0_212]),
[final] ).
cnf(c_0_419,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,a2)
| ~ asubq(X1,a2)
| ~ ain(aun(X1,X2),asing(a0))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_271,c_0_216]),
[final] ).
cnf(c_0_420,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,a2)
| ~ asubq(X1,a2)
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_323,c_0_216]),
[final] ).
cnf(c_0_421,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_322,c_0_216]),
[final] ).
cnf(c_0_422,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(asing(a2),asing(a2))
| ain(a0,asing(a2))
| ain(asing(a2),a1)
| ~ aal4(a1)
| ~ ain(asing(a2),apow(a2)) ),
inference(spm,[status(thm)],[c_0_313,c_0_324]),
[final] ).
cnf(c_0_423,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(a0,a1)
| ~ aal4(a1)
| ~ ain(a0,asing(a0)) ),
inference(spm,[status(thm)],[c_0_313,c_0_325]),
[final] ).
cnf(c_0_424,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(a3,asing(a3))
| ain(a3,a1)
| ~ aal4(a1)
| ~ ain(a3,a4)
| ~ ain(a3,a3) ),
inference(spm,[status(thm)],[c_0_320,c_0_266]),
[final] ).
cnf(c_0_425,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| ~ aal4(a1)
| ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3) ),
inference(spm,[status(thm)],[c_0_326,c_0_212]),
[final] ).
cnf(c_0_426,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(asing(a1)))
| ain(a0,asing(a2))
| ain(a0,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_313,c_0_327]),
[final] ).
cnf(c_0_427,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),a4)
| ~ ain(aun(X1,X2),a3) ),
inference(spm,[status(thm)],[c_0_323,c_0_212]),
[final] ).
cnf(c_0_428,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ ain(aun(X1,X2),a3) ),
inference(spm,[status(thm)],[c_0_328,c_0_212]),
[final] ).
cnf(c_0_429,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(aun(X1,X2),asing(asing(a2)))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),a3)
| ~ aal4(a3)
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_329,c_0_269]),
[final] ).
cnf(c_0_430,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(asing(asing(a1)),asing(a3))
| ain(asing(asing(a1)),asing(a0))
| ain(asing(asing(a1)),asing(a1))
| ~ aal4(asing(a1))
| ~ ain(asing(asing(a1)),a4) ),
inference(spm,[status(thm)],[c_0_330,c_0_331]),
[final] ).
cnf(c_0_431,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(asing(asing(a1)),asing(a3))
| ain(asing(asing(a1)),asing(a0))
| ain(a0,apow(asing(asing(a1))))
| ain(asing(asing(a1)),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ ain(asing(asing(a1)),a4) ),
inference(spm,[status(thm)],[c_0_332,c_0_331]),
[final] ).
cnf(c_0_432,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_328,c_0_216]),
[final] ).
cnf(c_0_433,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(asing(asing(a1)),a1)
| ~ aal4(a1)
| ~ ain(asing(asing(a1)),a4)
| ~ ain(asing(asing(a1)),a3) ),
inference(spm,[status(thm)],[c_0_320,c_0_267]),
[final] ).
cnf(c_0_434,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(X1,asing(asing(a1)))
| ain(a0,asing(a2))
| ain(X1,asing(a3))
| ain(X1,asing(a0))
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_273,c_0_242]),
[final] ).
cnf(c_0_435,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(a0,a1)
| ~ aal4(a1)
| ~ ain(a0,asing(a0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_186]),c_0_272])]),
[final] ).
cnf(c_0_436,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(a2,asing(asing(a1)))
| ain(a0,asing(a2))
| ain(a2,asing(a1))
| ain(a2,asing(a2))
| ain(a2,asing(a3))
| ain(a2,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_313,c_0_333]),
[final] ).
cnf(c_0_437,plain,
( aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
| ain(a0,asing(a2))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(aun(asing(a1),asing(asing(a1))),apow(apow(asing(a1))))
| ~ ain(asing(a1),apow(a2)) ),
inference(spm,[status(thm)],[c_0_282,c_0_298]),
[final] ).
cnf(c_0_438,plain,
( ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(aun(asing(a1),asing(asing(a1)))))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(asing(asing(a1))))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(asing(a1)))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a0)) ),
inference(spm,[status(thm)],[c_0_182,c_0_334]),
[final] ).
cnf(c_0_439,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a0,asing(asing(a2)))
| ain(X1,asing(asing(a2)))
| ain(X1,asing(a3))
| ain(X1,apow(a2))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(a0,asing(a0))
| ~ ain(X1,a4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_208]),c_0_272])]),
[final] ).
cnf(c_0_440,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2)))
| ~ ain(a1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_268,c_0_336]),
[final] ).
cnf(c_0_441,plain,
( ain(asm(apow(a2),asing(a2)),asing(aun(asing(a1),asing(asing(a1)))))
| ain(asm(apow(a2),asing(a2)),asing(asing(asing(a1))))
| ain(asm(apow(a2),asing(a2)),asing(asing(a1)))
| ain(asm(apow(a2),asing(a2)),asing(a0)) ),
inference(spm,[status(thm)],[c_0_182,c_0_337]),
[final] ).
cnf(c_0_442,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(asing(a1)))
| ain(aun(X1,X2),asing(a2))
| ain(aun(X1,X2),asing(a1))
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_273,c_0_216]),
[final] ).
cnf(c_0_443,plain,
( aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
| ain(a0,asing(a2))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ~ asubq(asing(a1),apow(asing(a1)))
| ~ ain(apow(asing(asing(a1))),apow(apow(asing(a1))))
| ~ ain(asing(a1),apow(a2)) ),
inference(spm,[status(thm)],[c_0_338,c_0_298]),
[final] ).
cnf(c_0_444,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ~ aal4(a3)
| ~ ain(a0,asing(a2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_339]),c_0_340]),
[final] ).
cnf(c_0_445,plain,
( ain(aun(X1,X2),asing(aun(asing(a1),asing(asing(a1)))))
| ain(aun(X1,X2),asing(asing(asing(a1))))
| ain(aun(X1,X2),asing(asing(a1)))
| ain(aun(X1,X2),asing(a0))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ asubq(X1,aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_182,c_0_341]),
[final] ).
cnf(c_0_446,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(asing(a2),asing(a2))
| ain(asing(a2),a1)
| ~ aal4(a1)
| ~ ain(asing(a2),apow(a2)) ),
inference(spm,[status(thm)],[c_0_238,c_0_230]),
[final] ).
cnf(c_0_447,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(a3,asing(a3))
| ain(a3,a1)
| ~ aal4(a1)
| ~ ain(a3,apow(a2)) ),
inference(spm,[status(thm)],[c_0_238,c_0_231]),
[final] ).
cnf(c_0_448,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a0,asing(asing(a2)))
| ain(X1,asing(asing(a2)))
| ain(X1,a1)
| ain(X1,a3)
| ~ aal4(a1)
| ~ ain(a0,asing(a0))
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_208]),c_0_272])]),
[final] ).
cnf(c_0_449,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(aun(X1,X2),asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),a3)
| ~ aal4(a1)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ ain(a0,asing(a0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_208]),c_0_272])]),
[final] ).
cnf(c_0_450,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2)))
| ~ ain(a1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_268,c_0_344]),
[final] ).
cnf(c_0_451,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ~ aal4(a3)
| ~ ain(a1,asing(a0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_336]),c_0_345]),
[final] ).
cnf(c_0_452,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,a3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_212]),c_0_234]),
[final] ).
cnf(c_0_453,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a0,apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(X1,asing(a0))
| ain(X1,asing(a3))
| ain(X1,a3)
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_332,c_0_346]),
[final] ).
cnf(c_0_454,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ~ aal4(a3)
| ~ ain(a1,asing(a3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_344]),c_0_347]),
[final] ).
cnf(c_0_455,plain,
( ain(a1,asing(aun(asing(a1),asing(asing(a1)))))
| ain(a1,asing(asing(asing(a1))))
| ain(a1,asing(asing(a1)))
| ain(a1,asing(a0))
| ~ ain(a0,aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_182,c_0_348]),
[final] ).
cnf(c_0_456,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a0,apow(asing(asing(a1))))
| ain(a2,asing(a3))
| ain(a0,asing(a2))
| ain(a2,a3)
| ain(a2,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_332,c_0_349]),
[final] ).
cnf(c_0_457,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a0,apow(asing(asing(a1))))
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_332,c_0_350]),
[final] ).
cnf(c_0_458,plain,
( aun(asing(a1),asing(asing(a1))) = apow(asing(a1))
| ain(asing(a1),apow(asing(asing(a1))))
| ~ asubq(asing(a1),apow(asing(a1)))
| ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ~ ain(asing(asing(a1)),apow(apow(asing(a1))))
| ~ ain(asing(a1),apow(a2)) ),
inference(spm,[status(thm)],[c_0_351,c_0_298]),
[final] ).
cnf(c_0_459,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| ~ aal4(a1)
| ~ asubq(X2,asing(asing(a1)))
| ~ asubq(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_193,c_0_216]),
[final] ).
cnf(c_0_460,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(a0))
| ain(a1,apow(a2))
| ~ aal4(a3)
| ~ ain(a1,a4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_352]),c_0_212]),
[final] ).
cnf(c_0_461,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a0,asing(asing(a2)))
| ain(a1,asing(a0))
| ain(a1,apow(a2))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2)))
| ~ ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_268,c_0_352]),
[final] ).
cnf(c_0_462,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a0,apow(asing(asing(a1))))
| ain(a1,a3)
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_353]),c_0_354]),
[final] ).
cnf(c_0_463,plain,
( aal3(aun(asing(a1),asing(asing(a1))))
| aal3(apow(asing(asing(a1))))
| ain(asm(asm(apow(a2),a2),asing(a2)),a1)
| ain(a0,asing(a2))
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_193,c_0_355]),
[final] ).
cnf(c_0_464,plain,
( aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(asing(a1),aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ ain(asm(apow(a2),apow(asing(a2))),apow(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_356,c_0_298]),
[final] ).
cnf(c_0_465,plain,
( ain(asm(a3,asing(a1)),asing(a0))
| ain(asm(a3,asing(a1)),asing(a3))
| ain(asm(a3,asing(a1)),a3)
| ~ ain(asm(a3,asing(a1)),a4) ),
inference(spm,[status(thm)],[c_0_357,c_0_346]),
[final] ).
cnf(c_0_466,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,a3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_212]),c_0_234]),
[final] ).
cnf(c_0_467,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,asing(asing(a1)))
| ain(X1,asing(a3))
| ain(X1,asing(a0))
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| ain(X1,a1)
| ~ aal4(a1)
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_358,c_0_242]),
[final] ).
cnf(c_0_468,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(asing(a1)))
| ain(a0,asing(a2))
| ain(a0,a1)
| ~ aal4(a1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_186]),c_0_274]),
[final] ).
cnf(c_0_469,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(a2,asing(asing(a1)))
| ain(a2,asing(a3))
| ain(a2,asing(a2))
| ain(a2,asing(a1))
| ain(a2,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_358,c_0_277]),
[final] ).
cnf(c_0_470,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,aun(a1,asm(apow(a2),apow(asing(a1)))))
| ~ aal4(aun(a1,asm(apow(a2),apow(asing(a1)))))
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_181]),c_0_186])]),
[final] ).
cnf(c_0_471,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a0,apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(a0,a3)
| ain(a0,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_332,c_0_360]),
[final] ).
cnf(c_0_472,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,asing(a0))
| ain(X1,asing(a3))
| ain(X1,asing(a1))
| ain(X1,a3)
| ~ aal4(asing(a1))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_330,c_0_346]),
[final] ).
cnf(c_0_473,plain,
( aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ ain(asm(apow(a2),apow(asing(a2))),apow(apow(asing(a1))))
| ~ ain(asing(a1),apow(a2)) ),
inference(spm,[status(thm)],[c_0_361,c_0_298]),
[final] ).
cnf(c_0_474,plain,
( aal2(asing(asing(a1)))
| aal2(asing(a1))
| aal3(apow(asing(asing(a1))))
| ain(a0,asing(a2))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_313,c_0_362]),
[final] ).
cnf(c_0_475,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,asing(asing(a2)))
| ain(X1,a3)
| ~ aal4(a3)
| ~ ain(X1,asing(a0))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_329,c_0_285]),
[final] ).
cnf(c_0_476,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(asing(a2)))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
| ~ aal4(a3) ),
inference(spm,[status(thm)],[c_0_329,c_0_363]),
[final] ).
cnf(c_0_477,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(asing(a2)))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| ain(a0,asing(asing(a2)))
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_268,c_0_363]),
[final] ).
cnf(c_0_478,plain,
( asing(a1) = a0
| ain(a1,asing(a0))
| ain(a0,a2)
| ~ ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_364,c_0_365]),
[final] ).
cnf(c_0_479,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(asing(a2),asing(asing(a2)))
| ain(asing(a2),asing(a2))
| ain(asing(a2),a3)
| ~ aal4(a3) ),
inference(spm,[status(thm)],[c_0_329,c_0_366]),
[final] ).
cnf(c_0_480,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(asing(a2),asing(asing(a2)))
| ain(asing(a2),asing(a2))
| ain(a0,asing(asing(a2)))
| ain(asing(a2),a3)
| ain(asing(a2),a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_268,c_0_366]),
[final] ).
cnf(c_0_481,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a3,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(a3,asing(a3))
| ain(a3,a3)
| ain(a3,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_268,c_0_367]),
[final] ).
cnf(c_0_482,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(X2,asing(a1)))
| ~ aal4(aun(X2,asing(a1)))
| ~ ain(X2,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]),
[final] ).
cnf(c_0_483,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,asing(asing(a2)))
| ain(X1,apow(a2))
| ain(X1,asing(a3))
| ~ aal4(a3)
| ~ ain(X1,a4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_280]),c_0_212]),
[final] ).
cnf(c_0_484,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(aun(X1,X2),asing(asing(a2)))
| ain(aun(X1,X2),a3)
| ~ aal4(a3)
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2)) ),
inference(spm,[status(thm)],[c_0_329,c_0_286]),
[final] ).
cnf(c_0_485,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(a1,apow(a2))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_268,c_0_370]),
[final] ).
cnf(c_0_486,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,apow(asing(a2)))
| ~ ain(a0,asing(a2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_371]),c_0_340]),
[final] ).
cnf(c_0_487,plain,
( ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),asing(a0))
| ~ asubq(X2,asing(a1))
| ~ asubq(X1,asing(a1))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_372,c_0_216]),
[final] ).
cnf(c_0_488,plain,
( aal3(asing(a3))
| aal3(a1)
| ain(asing(a1),a1)
| ~ aal4(a1)
| ~ ain(asing(a1),a4) ),
inference(spm,[status(thm)],[c_0_373,c_0_374]),
[final] ).
cnf(c_0_489,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(X2,X3))
| ~ aal4(aun(X2,X3))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ ain(X3,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_375,c_0_369]),
[final] ).
cnf(c_0_490,plain,
( apow(asing(a1)) = a1
| ~ ain(a0,apow(asing(a2)))
| ~ ain(asing(a1),a1)
| ~ ain(a0,a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_225]),c_0_186])]),
[final] ).
cnf(c_0_491,plain,
( asing(a1) = a0
| ain(a0,a2)
| ~ ain(a1,a3) ),
inference(spm,[status(thm)],[c_0_340,c_0_365]),
[final] ).
cnf(c_0_492,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(a1,asing(a1)))
| ~ aal4(aun(a1,asing(a1)))
| ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_297,c_0_179]),
[final] ).
cnf(c_0_493,negated_conjecture,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(asm(apow(a2),asing(a2)),asing(a1)))
| ~ aal4(aun(asm(apow(a2),asing(a2)),asing(a1)))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_297,c_0_246]),
[final] ).
cnf(c_0_494,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a1)))
| ~ aal4(aun(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a1)))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_297,c_0_244]),
[final] ).
cnf(c_0_495,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(aun(X2,X3),asing(a1)))
| ~ aal4(aun(aun(X2,X3),asing(a1)))
| ~ asubq(X3,aun(asing(a1),asing(asing(a1))))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_297,c_0_201]),
[final] ).
cnf(c_0_496,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,aun(X2,asm(apow(a2),apow(asing(a1)))))
| ~ aal4(aun(X2,asm(apow(a2),apow(asing(a1)))))
| ~ ain(X2,apow(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))))
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_294,c_0_298]),
[final] ).
cnf(c_0_497,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,aun(asm(apow(a2),apow(asing(a1))),asm(apow(a2),apow(asing(a1)))))
| ~ aal4(aun(asm(apow(a2),apow(asing(a1))),asm(apow(a2),apow(asing(a1)))))
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_294,c_0_255]),
[final] ).
cnf(c_0_498,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a3,asing(asing(a2)))
| ain(a3,asing(a3))
| ain(a3,a3)
| ~ aal4(a3) ),
inference(spm,[status(thm)],[c_0_329,c_0_367]),
[final] ).
cnf(c_0_499,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(asing(asing(a1)),asing(a1)))
| ~ aal4(aun(asing(asing(a1)),asing(a1)))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_297,c_0_377]),
[final] ).
cnf(c_0_500,plain,
( a0 = a3
| ain(a0,a2)
| ~ ain(a1,a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_378]),c_0_272])]),
[final] ).
cnf(c_0_501,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,aun(aun(X2,X3),asm(apow(a2),apow(asing(a1)))))
| ~ aal4(aun(aun(X2,X3),asm(apow(a2),apow(asing(a1)))))
| ~ asubq(X3,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ asubq(X2,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_294,c_0_201]),
[final] ).
cnf(c_0_502,plain,
( aal3(asing(apow(asing(a1))))
| aal3(a3)
| ain(X1,aun(X2,a3))
| ~ aal4(aun(X2,a3))
| ~ ain(X2,apow(aun(a3,asing(apow(asing(a1))))))
| ~ ain(X1,asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_379,c_0_298]),
[final] ).
cnf(c_0_503,plain,
( aal3(asing(apow(asing(a1))))
| aal3(a3)
| ain(X1,aun(a1,a3))
| ~ aal4(aun(a1,a3))
| ~ ain(a0,aun(a3,asing(apow(asing(a1)))))
| ~ ain(X1,asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_379,c_0_179]),
[final] ).
cnf(c_0_504,plain,
( aal3(asing(apow(asing(a1))))
| aal3(a3)
| ain(X1,aun(a3,a3))
| ~ aal4(aun(a3,a3))
| ~ ain(X1,asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_379,c_0_305]),
[final] ).
cnf(c_0_505,plain,
( aal3(asing(apow(asing(a1))))
| aal3(a3)
| ain(X1,aun(aun(X2,X3),a3))
| ~ aal4(aun(aun(X2,X3),a3))
| ~ asubq(X3,aun(a3,asing(apow(asing(a1)))))
| ~ asubq(X2,aun(a3,asing(apow(asing(a1)))))
| ~ ain(X1,asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_379,c_0_201]),
[final] ).
cnf(c_0_506,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,aun(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),a3))
| ~ aal4(aun(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),a3))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]),
[final] ).
cnf(c_0_507,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,aun(X2,a3))
| ~ aal4(aun(X2,a3))
| ~ ain(X2,apow(aun(a3,asing(apow(a2)))))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_380,c_0_298]),
[final] ).
cnf(c_0_508,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,aun(aun(X2,X3),a3))
| ~ aal4(aun(aun(X2,X3),a3))
| ~ asubq(X3,aun(a3,asing(apow(a2))))
| ~ asubq(X2,aun(a3,asing(apow(a2))))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_380,c_0_201]),
[final] ).
cnf(c_0_509,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(asing(a1),asing(a1)))
| ~ aal4(aun(asing(a1),asing(a1)))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_297,c_0_257]),
[final] ).
cnf(c_0_510,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),asing(asing(a1)))
| ain(aun(X1,X2),asing(a2))
| ain(aun(X1,X2),asing(a1))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_358,c_0_216]),
[final] ).
cnf(c_0_511,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,aun(a1,a3))
| ~ aal4(aun(a1,a3))
| ~ ain(a0,aun(a3,asing(apow(a2))))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_380,c_0_179]),
[final] ).
cnf(c_0_512,plain,
( a0 = a3
| ain(a1,asing(a0))
| ain(a0,a2)
| ~ ain(a1,a4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_378]),c_0_272])]),
[final] ).
cnf(c_0_513,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,X2)
| ~ aal4(X2)
| ~ ain(X2,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_382,c_0_369]),
[final] ).
cnf(c_0_514,plain,
( ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a0))
| ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a4) ),
inference(spm,[status(thm)],[c_0_229,c_0_270]),
[final] ).
cnf(c_0_515,plain,
( ain(aun(X1,X2),asing(a0))
| ~ asubq(X2,asing(a2))
| ~ asubq(X1,asing(a2))
| ~ ain(aun(X1,X2),a4) ),
inference(spm,[status(thm)],[c_0_229,c_0_216]),
[final] ).
cnf(c_0_516,plain,
( X1 = asing(a1)
| ain(X1,asing(a3))
| ain(X1,asing(a0))
| ain(X1,asing(a2))
| ain(X1,a2)
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_296,c_0_242]),
[final] ).
cnf(c_0_517,plain,
( ain(a1,asing(a3))
| ain(a1,asing(a0))
| ain(a1,asing(a1))
| ~ ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_383,c_0_242]),
[final] ).
cnf(c_0_518,plain,
( ain(asing(a2),asing(a3))
| ain(asing(a2),asing(a0))
| ain(asing(a2),asing(a1))
| ~ ain(asing(a2),a4) ),
inference(spm,[status(thm)],[c_0_384,c_0_242]),
[final] ).
cnf(c_0_519,plain,
( ain(X1,asm(apow(a2),apow(asing(a2))))
| ain(X1,apow(asing(asing(a1))))
| ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_182,c_0_253]),
[final] ).
cnf(c_0_520,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ ain(aun(X2,X1),asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_211,c_0_216]),
[final] ).
cnf(c_0_521,plain,
( ain(asing(a2),asing(a1))
| ~ ain(asing(a2),a3) ),
inference(spm,[status(thm)],[c_0_384,c_0_212]),
[final] ).
cnf(c_0_522,plain,
( aun(a3,asing(apow(a2))) = apow(asing(a1))
| ain(asing(a1),asing(asing(a2)))
| ~ asubq(a3,apow(asing(a1)))
| ~ ain(asing(apow(a2)),apow(apow(asing(a1))))
| ~ ain(a0,aun(a3,asing(apow(a2))))
| ~ ain(asing(a1),apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_385,c_0_298]),
[final] ).
cnf(c_0_523,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(a1,asing(asing(a2)))
| ain(a1,apow(a2))
| ~ aal4(a3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_370]),c_0_212]),
[final] ).
cnf(c_0_524,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(aun(X1,X2),a1)
| ~ aal4(a1)
| ~ asubq(X2,asing(asing(a1)))
| ~ asubq(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_217,c_0_216]),
[final] ).
cnf(c_0_525,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(asm(asm(apow(a2),a2),asing(a2)),a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_217,c_0_355]),
[final] ).
cnf(c_0_526,plain,
( ain(a2,asing(a3))
| ~ ain(a2,asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_211,c_0_277]),
[final] ).
cnf(c_0_527,plain,
( apow(asing(a1)) = a1
| ~ ain(asing(a1),a1)
| ~ ain(a0,asing(a0))
| ~ ain(a0,a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_250]),c_0_186])]),
[final] ).
cnf(c_0_528,plain,
( ain(a1,a4)
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_386,c_0_241]),
[final] ).
cnf(c_0_529,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(a1,a1)
| ~ aal4(a1)
| ~ ain(a0,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_217,c_0_241]),
[final] ).
cnf(c_0_530,plain,
( ain(X1,asing(asing(asing(a1))))
| ain(X1,apow(a2))
| ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_387,c_0_253]),
[final] ).
cnf(c_0_531,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a0,a3)
| ~ aal4(asing(a1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_360]),c_0_274]),
[final] ).
cnf(c_0_532,plain,
( ain(a2,asing(a3))
| ~ ain(a2,apow(asing(a1))) ),
inference(spm,[status(thm)],[c_0_199,c_0_243]),
[final] ).
cnf(c_0_533,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(a2,asing(a3))
| ain(a2,asing(a1))
| ain(a2,a3)
| ~ aal4(asing(a1)) ),
inference(spm,[status(thm)],[c_0_330,c_0_349]),
[final] ).
cnf(c_0_534,plain,
( ain(a1,a4)
| ~ ain(a1,a3) ),
inference(spm,[status(thm)],[c_0_386,c_0_212]),
[final] ).
cnf(c_0_535,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(aun(X1,X2),asing(a1))
| ain(aun(X1,X2),a3)
| ~ aal4(asing(a1))
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_330,c_0_350]),
[final] ).
cnf(c_0_536,plain,
( ~ ain(a1,asing(a0))
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_288,c_0_241]),
[final] ).
cnf(c_0_537,plain,
( ain(a1,asing(a1))
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_383,c_0_241]),
[final] ).
cnf(c_0_538,plain,
( apow(asing(a1)) = a1
| ~ ain(asing(a1),a1)
| ~ ain(a0,asing(a3))
| ~ ain(a0,a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_251]),c_0_186])]),
[final] ).
cnf(c_0_539,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,aun(X4,a1))
| ~ aal4(aun(X4,a1))
| ~ asubq(X4,aun(X2,X1))
| ~ ain(a0,aun(X2,X1))
| ~ ain(X3,X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_179]),
[final] ).
cnf(c_0_540,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(X2,asing(asing(a1))))
| ~ aal4(aun(X2,asing(asing(a1))))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_377]),
[final] ).
cnf(c_0_541,negated_conjecture,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(X2,asm(apow(a2),asing(a2))))
| ~ aal4(aun(X2,asm(apow(a2),asing(a2))))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_246]),
[final] ).
cnf(c_0_542,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,aun(X2,asm(asm(apow(a2),apow(asing(a2))),asing(a2))))
| ~ aal4(aun(X2,asm(asm(apow(a2),apow(asing(a2))),asing(a2))))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_244]),
[final] ).
cnf(c_0_543,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,aun(X2,asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2)))))
| ~ aal4(aun(X2,asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2)))))
| ~ asubq(X2,aun(a3,asing(apow(a2))))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_254,c_0_381]),
[final] ).
cnf(c_0_544,plain,
( aal3(asing(apow(a2)))
| aal3(a4)
| ain(X1,aun(X2,asm(a3,asing(a1))))
| ~ aal4(aun(X2,asm(a3,asing(a1))))
| ~ asubq(X2,aun(a4,asing(apow(a2))))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_254,c_0_388]),
[final] ).
cnf(c_0_545,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,aun(a3,a3))
| ~ aal4(aun(a3,a3))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_380,c_0_275]),
[final] ).
cnf(c_0_546,plain,
( ~ ain(a1,asing(asing(asing(a1))))
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_211,c_0_241]),
[final] ).
cnf(c_0_547,plain,
( aal3(X1)
| aal3(X2)
| ain(X3,aun(X4,aun(X5,X6)))
| ~ aal4(aun(X4,aun(X5,X6)))
| ~ asubq(X4,aun(X2,X1))
| ~ asubq(X6,aun(X2,X1))
| ~ asubq(X5,aun(X2,X1))
| ~ ain(X3,X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_201]),
[final] ).
cnf(c_0_548,plain,
( aal3(asing(apow(a2)))
| aal3(a3)
| ain(X1,asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))))
| ~ aal4(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_178,c_0_381]),
[final] ).
cnf(c_0_549,plain,
( a1 != a2
| ~ aal5(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_389,c_0_173]),
[final] ).
cnf(c_0_550,plain,
( ain(a1,aun(apow(asing(a2)),asing(apow(a2))))
| ~ ain(a1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_187,c_0_227]),
[final] ).
cnf(c_0_551,plain,
( ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ ain(X1,asing(a2)) ),
inference(spm,[status(thm)],[c_0_187,c_0_173]),
[final] ).
cnf(c_0_552,plain,
( ~ ain(a1,asing(a3))
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_290,c_0_241]),
[final] ).
cnf(c_0_553,plain,
( ain(a1,asing(a1))
| ~ ain(a1,a3) ),
inference(spm,[status(thm)],[c_0_383,c_0_212]),
[final] ).
cnf(c_0_554,plain,
( ain(asing(a2),asing(asing(a2)))
| ain(asing(a2),a4) ),
inference(spm,[status(thm)],[c_0_182,c_0_390]),
[final] ).
cnf(c_0_555,plain,
( aal3(asm(apow(a2),apow(asing(a2))))
| aal3(apow(asing(asing(a1))))
| ain(X1,asm(apow(a2),apow(asing(a1))))
| ~ aal4(asm(apow(a2),apow(asing(a1))))
| ~ ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_178,c_0_255]),
[final] ).
cnf(c_0_556,plain,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,asm(asm(apow(a2),apow(asing(a2))),asing(a2)))
| ~ aal4(asm(asm(apow(a2),apow(asing(a2))),asing(a2)))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_178,c_0_244]),
[final] ).
cnf(c_0_557,plain,
( aun(asing(asing(a1)),asing(asing(asing(a1)))) = apow(asing(a1))
| ~ asubq(asing(asing(asing(a1))),apow(asing(a1)))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ~ ain(a0,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_221,c_0_260]),
[final] ).
cnf(c_0_558,plain,
( ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2))))
| ~ asubq(a4,aun(a4,asing(apow(a2))))
| ~ ain(asing(apow(a2)),apow(aun(a4,asing(apow(a2))))) ),
inference(spm,[status(thm)],[c_0_391,c_0_298]),
[final] ).
cnf(c_0_559,plain,
( asing(a1) = a2
| aal3(asing(a3))
| aal3(a1)
| ain(a2,asing(a2))
| ain(a2,a2)
| ain(a2,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_373,c_0_392]),
[final] ).
cnf(c_0_560,plain,
( aal3(asing(a3))
| aal3(a1)
| ain(a0,a1)
| ~ aal4(a1) ),
inference(spm,[status(thm)],[c_0_373,c_0_393]),
[final] ).
cnf(c_0_561,negated_conjecture,
( aal3(asing(asing(a1)))
| aal3(asing(a1))
| ain(X1,asm(apow(a2),asing(a2)))
| ~ aal4(asm(apow(a2),asing(a2)))
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_178,c_0_246]),
[final] ).
cnf(c_0_562,plain,
( aal3(asing(apow(a2)))
| aal3(a4)
| ain(X1,asm(a3,asing(a1)))
| ~ aal4(asm(a3,asing(a1)))
| ~ ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_178,c_0_388]),
[final] ).
cnf(c_0_563,plain,
( ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2))))
| ~ ain(aun(a4,asing(apow(a2))),apow(aun(a4,asing(apow(a2))))) ),
inference(spm,[status(thm)],[c_0_309,c_0_298]),
[final] ).
cnf(c_0_564,plain,
( ain(asing(a1),apow(asing(a1)))
| ~ ain(asing(a1),apow(a2)) ),
inference(spm,[status(thm)],[c_0_258,c_0_172]),
[final] ).
cnf(c_0_565,plain,
( aal3(asing(apow(asing(a1))))
| aal3(a3)
| ain(X1,a3)
| ~ aal4(a3)
| ~ ain(X1,asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_178,c_0_305]),
[final] ).
cnf(c_0_566,plain,
( asing(a1) = a3
| ain(asing(a1),a2)
| ~ ain(asing(a1),a4) ),
inference(spm,[status(thm)],[c_0_222,c_0_378]),
[final] ).
cnf(c_0_567,plain,
( ~ ain(X1,apow(asing(a2)))
| ~ aal5(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(X1))) ),
i_0_86,
[final] ).
cnf(c_0_568,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ ain(X1,aun(asing(asing(a1)),aun(asing(asing(a2)),a4)))
| ~ ain(X1,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2))))) ),
i_0_65,
[final] ).
cnf(c_0_569,plain,
( X1 = asing(a1)
| ain(X1,asing(a2))
| ain(X1,a2)
| ~ ain(X1,a3) ),
inference(spm,[status(thm)],[c_0_296,c_0_212]),
[final] ).
cnf(c_0_570,plain,
( asing(a1) = a1
| ain(a1,asing(a2))
| ain(a1,a2)
| ~ ain(a0,a2) ),
inference(spm,[status(thm)],[c_0_296,c_0_241]),
[final] ).
cnf(c_0_571,plain,
( ~ asubq(apow(asing(asing(a1))),a3)
| ~ ain(asm(apow(a2),apow(asing(a1))),apow(a3)) ),
inference(spm,[status(thm)],[c_0_394,c_0_298]),
[final] ).
cnf(c_0_572,plain,
( ain(a1,asing(asing(a2)))
| ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_182,c_0_395]),
[final] ).
cnf(c_0_573,plain,
( ain(X1,asing(a1))
| ain(X1,aun(apow(asing(a2)),asing(a3)))
| ~ ain(X1,a4)
| ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3)))) ),
i_0_83,
[final] ).
cnf(c_0_574,plain,
( ~ ain(X1,asm(apow(a2),asing(a2)))
| ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X1))) ),
i_0_69,
[final] ).
cnf(c_0_575,plain,
( ~ adisjoint(asing(apow(asing(a1))),a4)
| ~ aal2(a4)
| ~ aal4(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_396,c_0_397]),
[final] ).
cnf(c_0_576,plain,
( ain(a3,asing(a1))
| ~ ain(a3,a3) ),
inference(spm,[status(thm)],[c_0_398,c_0_212]),
[final] ).
cnf(c_0_577,plain,
( X1 = apow(asing(a1))
| ~ ain(X1,apow(apow(asing(a1))))
| ~ ain(asing(a1),X1)
| ~ ain(a0,X1) ),
inference(spm,[status(thm)],[c_0_202,c_0_298]),
[final] ).
cnf(c_0_578,plain,
( aun(X1,X2) = asing(a1)
| ain(aun(X1,X2),asing(a2))
| ain(aun(X1,X2),a2)
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_296,c_0_216]),
[final] ).
cnf(c_0_579,plain,
( ~ adisjoint(asing(apow(asing(a1))),a4)
| ~ aal2(asing(apow(asing(a1))))
| ~ aal4(a4) ),
inference(spm,[status(thm)],[c_0_396,c_0_399]),
[final] ).
cnf(c_0_580,plain,
( X1 = a0
| X1 = a3
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_304,c_0_400]),
[final] ).
cnf(c_0_581,plain,
( X1 = a0
| ain(X1,asing(a1))
| ~ ain(X1,a2)
| ~ ain(X1,a4) ),
inference(spm,[status(thm)],[c_0_187,c_0_400]),
[final] ).
cnf(c_0_582,plain,
( ain(a3,asing(asing(a2)))
| ain(a3,a4) ),
inference(spm,[status(thm)],[c_0_182,c_0_401]),
[final] ).
cnf(c_0_583,plain,
~ ain(asing(a1),a3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_402]),c_0_234]),
[final] ).
cnf(c_0_584,plain,
~ ain(asing(a1),asing(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_403,c_0_260]),
[final] ).
cnf(c_0_585,plain,
~ ain(asing(asing(a1)),asing(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_187,c_0_198]),
[final] ).
cnf(c_0_586,plain,
~ ain(a0,asing(asing(asing(a1)))),
inference(spm,[status(thm)],[c_0_211,c_0_186]),
[final] ).
cnf(c_0_587,plain,
~ ain(a2,apow(asing(a2))),
inference(spm,[status(thm)],[c_0_204,c_0_243]),
[final] ).
cnf(c_0_588,plain,
~ ain(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),apow(aun(a4,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_263,c_0_298]),
[final] ).
cnf(c_0_589,plain,
~ ain(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),apow(a3)),
inference(spm,[status(thm)],[c_0_310,c_0_298]),
[final] ).
cnf(c_0_590,plain,
~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
i_0_30,
[final] ).
cnf(c_0_591,plain,
~ aal5(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
i_0_72,
[final] ).
cnf(c_0_592,plain,
~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))),
i_0_32,
[final] ).
cnf(c_0_593,plain,
~ ain(a0,aun(asing(asing(a1)),asing(a3))),
i_0_36,
[final] ).
cnf(c_0_594,plain,
~ ain(a2,asing(a0)),
inference(spm,[status(thm)],[c_0_187,c_0_243]),
[final] ).
cnf(c_0_595,plain,
~ ain(a2,apow(a1)),
inference(spm,[status(thm)],[c_0_404,c_0_298]),
[final] ).
cnf(c_0_596,plain,
~ ain(asm(apow(a2),a2),a4),
i_0_35,
[final] ).
cnf(c_0_597,plain,
asm(apow(a2),a2) != apow(a2),
i_0_27,
[final] ).
cnf(c_0_598,plain,
~ aal5(apow(a2)),
i_0_71,
[final] ).
cnf(c_0_599,plain,
~ aal4(asm(apow(a2),apow(asing(a2)))),
i_0_70,
[final] ).
cnf(c_0_600,plain,
~ aal3(aun(a1,asing(a3))),
i_0_68,
[final] ).
cnf(c_0_601,plain,
apow(asing(a1)) != a3,
i_0_25,
[final] ).
cnf(c_0_602,plain,
ain(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),apow(aun(a3,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_200,c_0_381]),
[final] ).
cnf(c_0_603,plain,
ain(asm(a3,asing(a1)),apow(aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2)))))),
inference(spm,[status(thm)],[c_0_200,c_0_405]),
[final] ).
cnf(c_0_604,plain,
ain(asm(apow(a2),apow(asing(a1))),apow(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))),
inference(spm,[status(thm)],[c_0_200,c_0_255]),
[final] ).
cnf(c_0_605,plain,
aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a2)),aun(a4,asing(apow(a2)))))),
i_0_78,
[final] ).
cnf(c_0_606,plain,
aex3(asm(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
i_0_82,
[final] ).
cnf(c_0_607,plain,
ain(asm(apow(a2),apow(asing(a1))),apow(asm(a3,asing(a0)))),
inference(spm,[status(thm)],[c_0_200,c_0_406]),
[final] ).
cnf(c_0_608,plain,
aex3(aun(asing(asing(asing(a1))),aun(a1,asing(apow(a2))))),
i_0_77,
[final] ).
cnf(c_0_609,plain,
aal4(aun(a3,asing(asm(apow(a2),a2)))),
i_0_75,
[final] ).
cnf(c_0_610,plain,
aex5(aun(a4,asing(asm(apow(a2),a2)))),
i_0_80,
[final] ).
cnf(c_0_611,plain,
aex4(asm(aun(a4,asing(apow(a2))),asing(a3))),
i_0_81,
[final] ).
cnf(c_0_612,plain,
ain(asm(a3,asing(a1)),apow(aun(a4,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_200,c_0_388]),
[final] ).
cnf(c_0_613,plain,
ain(asing(asing(a1)),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_200,c_0_377]),
[final] ).
cnf(c_0_614,plain,
ain(a3,apow(aun(a3,asing(apow(asing(a1)))))),
inference(spm,[status(thm)],[c_0_200,c_0_305]),
[final] ).
cnf(c_0_615,plain,
aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))) = asm(a3,asing(a1)),
i_0_67,
[final] ).
cnf(c_0_616,plain,
aex5(aun(asing(apow(asing(a1))),a4)),
i_0_79,
[final] ).
cnf(c_0_617,plain,
ain(asing(a1),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_200,c_0_257]),
[final] ).
cnf(c_0_618,plain,
ain(asm(apow(a2),apow(asing(a1))),apow(a4)),
inference(spm,[status(thm)],[c_0_200,c_0_407]),
[final] ).
cnf(c_0_619,plain,
ain(a2,a4),
inference(spm,[status(thm)],[c_0_174,c_0_243]),
[final] ).
cnf(c_0_620,plain,
ain(a3,apow(aun(a3,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_200,c_0_275]),
[final] ).
cnf(c_0_621,plain,
ain(a2,aun(asing(asing(a2)),a4)),
i_0_42,
[final] ).
cnf(c_0_622,plain,
aex3(aun(a2,asing(apow(a2)))),
i_0_76,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO844+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 17:35:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 15.43/3.30 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.43/3.30 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 15.43/3.30 # Preprocessing time : 0.847 s
% 15.43/3.30
% 15.43/3.30 # No proof found!
% 15.43/3.30 # SZS status Satisfiable
% 15.43/3.30 # SZS output start Saturation
% See solution above
% 15.43/3.30
% 15.43/3.30 # -------------------------------------------------
% 15.43/3.30 # User time : 0.861 s
% 15.43/3.30 # System time : 0.111 s
% 15.43/3.30 # Total time : 0.973 s
% 15.43/3.30 # ...preprocessing : 0.847 s
% 15.43/3.30 # ...main loop : 0.126 s
% 15.43/3.30 # Maximum resident set size: 169068 pages
% 15.43/3.30
%------------------------------------------------------------------------------